TSTP Solution File: HWV046_3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV046_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:13:20 EDT 2022
% Result : Unsatisfiable 40.89s 26.49s
% Output : Proof 45.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV046_3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 22:41:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 40.89/26.49 % SZS status Unsatisfiable
% 40.89/26.49 % SZS output start Proof
% 40.89/26.49 tff(v193_type, type, (
% 40.89/26.49 v193: state_type > $o)).
% 40.89/26.49 tff(constB159_type, type, (
% 40.89/26.49 constB159: state_type)).
% 40.89/26.49 tff(sK0_VarCurr_type, type, (
% 40.89/26.49 sK0_VarCurr: state_type)).
% 40.89/26.49 tff(constB46_type, type, (
% 40.89/26.49 constB46: state_type)).
% 40.89/26.49 tff(v1_type, type, (
% 40.89/26.49 v1: state_type > $o)).
% 40.89/26.49 tff(v197_type, type, (
% 40.89/26.49 v197: state_type > $o)).
% 40.89/26.49 tff(v207_type, type, (
% 40.89/26.49 v207: state_type > $o)).
% 40.89/26.49 tff(v206_type, type, (
% 40.89/26.49 v206: state_type > $o)).
% 40.89/26.49 tff(v205_type, type, (
% 40.89/26.49 v205: state_type > $o)).
% 40.89/26.49 tff(constB125_type, type, (
% 40.89/26.49 constB125: state_type)).
% 40.89/26.49 tff(v191_type, type, (
% 40.89/26.49 v191: state_type > $o)).
% 40.89/26.49 tff(constB124_type, type, (
% 40.89/26.49 constB124: state_type)).
% 40.89/26.49 tff(v194_type, type, (
% 40.89/26.49 v194: state_type > $o)).
% 40.89/26.49 tff(constB123_type, type, (
% 40.89/26.49 constB123: state_type)).
% 40.89/26.49 tff(constB122_type, type, (
% 40.89/26.49 constB122: state_type)).
% 40.89/26.49 tff(constB121_type, type, (
% 40.89/26.49 constB121: state_type)).
% 40.89/26.49 tff(v198_type, type, (
% 40.89/26.49 v198: state_type > $o)).
% 40.89/26.49 tff(v200_type, type, (
% 40.89/26.49 v200: state_type > $o)).
% 40.89/26.49 tff(v201_type, type, (
% 40.89/26.49 v201: state_type > $o)).
% 40.89/26.49 tff(v159_type, type, (
% 40.89/26.49 v159: state_type > $o)).
% 40.89/26.49 tff(constB120_type, type, (
% 40.89/26.49 constB120: state_type)).
% 40.89/26.49 tff(v186_type, type, (
% 40.89/26.49 v186: state_type > $o)).
% 40.89/26.49 tff(v163_type, type, (
% 40.89/26.49 v163: state_type > $o)).
% 40.89/26.49 tff(constB119_type, type, (
% 40.89/26.49 constB119: state_type)).
% 40.89/26.49 tff(v170_type, type, (
% 40.89/26.49 v170: state_type > $o)).
% 40.89/26.49 tff(v167_type, type, (
% 40.89/26.49 v167: state_type > $o)).
% 40.89/26.49 tff(v142_type, type, (
% 40.89/26.49 v142: state_type > $o)).
% 40.89/26.49 tff(v143_type, type, (
% 40.89/26.49 v143: state_type > $o)).
% 40.89/26.49 tff(v88_type, type, (
% 40.89/26.49 v88: ( state_type * bitindex_type ) > $o)).
% 40.89/26.49 tff(bitIndex2_type, type, (
% 40.89/26.49 bitIndex2: bitindex_type)).
% 40.89/26.49 tff(v90_type, type, (
% 40.89/26.49 v90: ( state_type * bitindex_type ) > $o)).
% 40.89/26.49 tff(constB118_type, type, (
% 40.89/26.49 constB118: state_type)).
% 40.89/26.49 tff(v100_type, type, (
% 40.89/26.49 v100: state_type > $o)).
% 40.89/26.49 tff(v110_type, type, (
% 40.89/26.49 v110: state_type > $o)).
% 40.89/26.49 tff(v108_type, type, (
% 40.89/26.49 v108: state_type > $o)).
% 40.89/26.49 tff(constB117_type, type, (
% 40.89/26.49 constB117: state_type)).
% 40.89/26.49 tff(v112_type, type, (
% 40.89/26.49 v112: state_type > $o)).
% 40.89/26.49 tff(v113_type, type, (
% 40.89/26.49 v113: state_type > $o)).
% 40.89/26.49 tff(v114_type, type, (
% 40.89/26.49 v114: state_type > $o)).
% 40.89/26.49 tff(v115_type, type, (
% 40.89/26.49 v115: state_type > $o)).
% 40.89/26.49 tff(v116_type, type, (
% 40.89/26.49 v116: state_type > $o)).
% 40.89/26.49 tff(v117_type, type, (
% 40.89/26.49 v117: state_type > $o)).
% 40.89/26.49 tff(v118_type, type, (
% 40.89/26.49 v118: state_type > $o)).
% 40.89/26.49 tff(v120_type, type, (
% 40.89/26.49 v120: state_type > $o)).
% 40.89/26.49 tff(constB116_type, type, (
% 40.89/26.49 constB116: state_type)).
% 40.89/26.49 tff(constB115_type, type, (
% 40.89/26.49 constB115: state_type)).
% 40.89/26.49 tff(v125_type, type, (
% 40.89/26.49 v125: state_type > $o)).
% 40.89/26.49 tff(constB114_type, type, (
% 40.89/26.49 constB114: state_type)).
% 40.89/26.49 tff(v129_type, type, (
% 40.89/26.49 v129: ( state_type * bitindex_type ) > $o)).
% 40.89/26.49 tff(v127_type, type, (
% 40.89/26.49 v127: ( state_type * bitindex_type ) > $o)).
% 40.89/26.49 tff(constB113_type, type, (
% 40.89/26.49 constB113: state_type)).
% 40.89/26.49 tff(v26_type, type, (
% 40.89/26.49 v26: state_type > $o)).
% 40.89/26.49 tff(v130_type, type, (
% 40.89/26.49 v130: ( state_type * bitindex_type ) > $o)).
% 40.89/26.49 tff(v123_type, type, (
% 40.89/26.49 v123: state_type > $o)).
% 40.89/26.49 tff(constB112_type, type, (
% 40.89/26.49 constB112: state_type)).
% 40.89/26.49 tff(constB111_type, type, (
% 40.89/26.49 constB111: state_type)).
% 40.89/26.49 tff(v122_type, type, (
% 40.89/26.49 v122: state_type > $o)).
% 40.89/26.49 tff(constB110_type, type, (
% 40.89/26.49 constB110: state_type)).
% 40.89/26.49 tff(constB109_type, type, (
% 40.89/26.49 constB109: state_type)).
% 40.89/26.49 tff(v121_type, type, (
% 40.89/26.49 v121: state_type > $o)).
% 40.89/26.49 tff(constB108_type, type, (
% 40.89/26.49 constB108: state_type)).
% 40.89/26.49 tff(constB107_type, type, (
% 40.89/26.49 constB107: state_type)).
% 40.89/26.49 tff(constB106_type, type, (
% 40.89/26.49 constB106: state_type)).
% 40.89/26.49 tff(constB105_type, type, (
% 40.89/26.49 constB105: state_type)).
% 40.89/26.49 tff(constB104_type, type, (
% 40.89/26.49 constB104: state_type)).
% 40.89/26.49 tff(constB103_type, type, (
% 40.89/26.49 constB103: state_type)).
% 40.89/26.49 tff(constB102_type, type, (
% 40.89/26.49 constB102: state_type)).
% 40.89/26.49 tff(constB101_type, type, (
% 40.89/26.49 constB101: state_type)).
% 40.89/26.49 tff(constB100_type, type, (
% 40.89/26.49 constB100: state_type)).
% 40.89/26.49 tff(constB99_type, type, (
% 40.89/26.49 constB99: state_type)).
% 40.89/26.49 tff(constB98_type, type, (
% 40.89/26.49 constB98: state_type)).
% 40.89/26.49 tff(constB97_type, type, (
% 40.89/26.49 constB97: state_type)).
% 40.89/26.49 tff(constB96_type, type, (
% 40.89/26.49 constB96: state_type)).
% 40.89/26.49 tff(constB95_type, type, (
% 40.89/26.49 constB95: state_type)).
% 40.89/26.49 tff(bitIndex1_type, type, (
% 40.89/26.49 bitIndex1: bitindex_type)).
% 40.89/26.49 tff(constB94_type, type, (
% 40.89/26.49 constB94: state_type)).
% 40.89/26.49 tff(constB93_type, type, (
% 40.89/26.49 constB93: state_type)).
% 40.89/26.49 tff(constB92_type, type, (
% 40.89/26.49 constB92: state_type)).
% 40.89/26.49 tff(constB91_type, type, (
% 40.89/26.49 constB91: state_type)).
% 40.89/26.49 tff(constB89_type, type, (
% 40.89/26.49 constB89: state_type)).
% 40.89/26.49 tff(constB87_type, type, (
% 40.89/26.49 constB87: state_type)).
% 40.89/26.49 tff(constB86_type, type, (
% 40.89/26.49 constB86: state_type)).
% 40.89/26.49 tff(constB85_type, type, (
% 40.89/26.49 constB85: state_type)).
% 40.89/26.49 tff(constB84_type, type, (
% 40.89/26.49 constB84: state_type)).
% 40.89/26.49 tff(constB83_type, type, (
% 40.89/26.49 constB83: state_type)).
% 40.89/26.49 tff(constB82_type, type, (
% 40.89/26.49 constB82: state_type)).
% 40.89/26.49 tff(constB81_type, type, (
% 40.89/26.49 constB81: state_type)).
% 40.89/26.49 tff(constB80_type, type, (
% 40.89/26.49 constB80: state_type)).
% 40.89/26.49 tff(constB79_type, type, (
% 40.89/26.49 constB79: state_type)).
% 40.89/26.49 tff(constB78_type, type, (
% 40.89/26.49 constB78: state_type)).
% 40.89/26.49 tff(constB77_type, type, (
% 40.89/26.49 constB77: state_type)).
% 40.89/26.49 tff(constB76_type, type, (
% 40.89/26.49 constB76: state_type)).
% 40.89/26.49 tff(constB75_type, type, (
% 40.89/26.49 constB75: state_type)).
% 40.89/26.49 tff(constB74_type, type, (
% 40.89/26.49 constB74: state_type)).
% 40.89/26.49 tff(constB73_type, type, (
% 40.89/26.49 constB73: state_type)).
% 40.89/26.49 tff(constB72_type, type, (
% 40.89/26.49 constB72: state_type)).
% 40.89/26.49 tff(constB71_type, type, (
% 40.89/26.49 constB71: state_type)).
% 40.89/26.49 tff(constB69_type, type, (
% 40.89/26.49 constB69: state_type)).
% 40.89/26.49 tff(constB68_type, type, (
% 40.89/26.49 constB68: state_type)).
% 40.89/26.49 tff(constB67_type, type, (
% 40.89/26.49 constB67: state_type)).
% 40.89/26.49 tff(constB66_type, type, (
% 40.89/26.49 constB66: state_type)).
% 40.89/26.49 tff(constB65_type, type, (
% 40.89/26.49 constB65: state_type)).
% 40.89/26.49 tff(constB64_type, type, (
% 40.89/26.49 constB64: state_type)).
% 40.89/26.49 tff(constB63_type, type, (
% 40.89/26.49 constB63: state_type)).
% 40.89/26.49 tff(constB62_type, type, (
% 40.89/26.49 constB62: state_type)).
% 40.89/26.49 tff(constB61_type, type, (
% 40.89/26.49 constB61: state_type)).
% 40.89/26.49 tff(constB60_type, type, (
% 40.89/26.49 constB60: state_type)).
% 40.89/26.49 tff(constB59_type, type, (
% 40.89/26.49 constB59: state_type)).
% 40.89/26.49 tff(constB58_type, type, (
% 40.89/26.49 constB58: state_type)).
% 40.89/26.49 tff(constB57_type, type, (
% 40.89/26.49 constB57: state_type)).
% 40.89/26.49 tff(constB56_type, type, (
% 40.89/26.49 constB56: state_type)).
% 40.89/26.49 tff(constB55_type, type, (
% 40.89/26.49 constB55: state_type)).
% 40.89/26.49 tff(constB54_type, type, (
% 40.89/26.49 constB54: state_type)).
% 40.89/26.49 tff(constB53_type, type, (
% 40.89/26.49 constB53: state_type)).
% 40.89/26.49 tff(constB52_type, type, (
% 40.89/26.49 constB52: state_type)).
% 40.89/26.49 tff(constB51_type, type, (
% 40.89/26.49 constB51: state_type)).
% 40.89/26.49 tff(constB50_type, type, (
% 40.89/26.49 constB50: state_type)).
% 40.89/26.49 tff(constB49_type, type, (
% 40.89/26.49 constB49: state_type)).
% 40.89/26.49 tff(constB48_type, type, (
% 40.89/26.49 constB48: state_type)).
% 40.89/26.49 tff(constB47_type, type, (
% 40.89/26.49 constB47: state_type)).
% 40.89/26.49 tff(constB45_type, type, (
% 40.89/26.49 constB45: state_type)).
% 40.89/26.49 tff(constB44_type, type, (
% 40.89/26.49 constB44: state_type)).
% 40.89/26.49 tff(constB43_type, type, (
% 40.89/26.49 constB43: state_type)).
% 40.89/26.49 tff(constB42_type, type, (
% 40.89/26.49 constB42: state_type)).
% 40.89/26.49 tff(constB41_type, type, (
% 40.89/26.49 constB41: state_type)).
% 40.89/26.49 tff(constB40_type, type, (
% 40.89/26.49 constB40: state_type)).
% 40.89/26.49 tff(constB39_type, type, (
% 40.89/26.49 constB39: state_type)).
% 40.89/26.49 tff(constB38_type, type, (
% 40.89/26.49 constB38: state_type)).
% 40.89/26.49 tff(constB37_type, type, (
% 40.89/26.49 constB37: state_type)).
% 40.89/26.49 tff(constB36_type, type, (
% 40.89/26.49 constB36: state_type)).
% 40.89/26.49 tff(constB35_type, type, (
% 40.89/26.49 constB35: state_type)).
% 40.89/26.49 tff(constB34_type, type, (
% 40.89/26.49 constB34: state_type)).
% 40.89/26.49 tff(constB33_type, type, (
% 40.89/26.49 constB33: state_type)).
% 40.89/26.49 tff(bitIndex0_type, type, (
% 40.89/26.49 bitIndex0: bitindex_type)).
% 40.89/26.49 tff(constB31_type, type, (
% 40.89/26.49 constB31: state_type)).
% 40.89/26.49 tff(constB30_type, type, (
% 40.89/26.49 constB30: state_type)).
% 40.89/26.49 tff(constB29_type, type, (
% 40.89/26.49 constB29: state_type)).
% 40.89/26.49 tff(constB28_type, type, (
% 40.89/26.49 constB28: state_type)).
% 40.89/26.49 tff(constB27_type, type, (
% 40.89/26.49 constB27: state_type)).
% 40.89/26.49 tff(constB23_type, type, (
% 40.89/26.49 constB23: state_type)).
% 40.89/26.49 tff(constB22_type, type, (
% 40.89/26.49 constB22: state_type)).
% 40.89/26.49 tff(constB21_type, type, (
% 40.89/26.49 constB21: state_type)).
% 40.89/26.49 tff(constB20_type, type, (
% 40.89/26.49 constB20: state_type)).
% 40.89/26.49 tff(constB19_type, type, (
% 40.89/26.49 constB19: state_type)).
% 40.89/26.49 tff(constB18_type, type, (
% 40.89/26.49 constB18: state_type)).
% 40.89/26.49 tff(constB17_type, type, (
% 40.89/26.49 constB17: state_type)).
% 40.89/26.49 tff(v74_type, type, (
% 40.89/26.49 v74: state_type > $o)).
% 40.89/26.49 tff(v72_type, type, (
% 40.89/26.49 v72: state_type > $o)).
% 40.89/26.49 tff(v76_type, type, (
% 40.89/26.49 v76: state_type > $o)).
% 40.89/26.49 tff(v80_type, type, (
% 40.89/26.49 v80: state_type > $o)).
% 40.89/26.49 tff(v9_type, type, (
% 40.89/26.49 v9: state_type > $o)).
% 40.89/26.49 tff(v13_type, type, (
% 40.89/26.49 v13: state_type > $o)).
% 40.89/26.49 tff(v19_type, type, (
% 40.89/26.49 v19: state_type > $o)).
% 40.89/26.49 tff(v18_type, type, (
% 40.89/26.49 v18: state_type > $o)).
% 40.89/26.49 tff(v22_type, type, (
% 40.89/26.49 v22: state_type > $o)).
% 40.89/26.49 tff(nextState_type, type, (
% 40.89/26.49 nextState: ( state_type * state_type ) > $o)).
% 40.89/26.49 tff(v78_type, type, (
% 40.89/26.49 v78: state_type > $o)).
% 40.89/26.49 tff(v71_type, type, (
% 40.89/26.49 v71: state_type > $o)).
% 40.89/26.49 tff(v60_type, type, (
% 40.89/26.49 v60: state_type > $o)).
% 40.89/26.49 tff(v64_type, type, (
% 40.89/26.49 v64: state_type > $o)).
% 40.89/26.49 tff(v66_type, type, (
% 40.89/26.49 v66: state_type > $o)).
% 40.89/26.49 tff(constB16_type, type, (
% 40.89/26.49 constB16: state_type)).
% 40.89/26.49 tff(constB15_type, type, (
% 40.89/26.49 constB15: state_type)).
% 40.89/26.49 tff(constB14_type, type, (
% 40.89/26.49 constB14: state_type)).
% 40.89/26.49 tff(constB13_type, type, (
% 40.89/26.49 constB13: state_type)).
% 40.89/26.49 tff(constB12_type, type, (
% 40.89/26.49 constB12: state_type)).
% 40.89/26.49 tff(constB11_type, type, (
% 40.89/26.49 constB11: state_type)).
% 40.89/26.49 tff(constB10_type, type, (
% 40.89/26.49 constB10: state_type)).
% 40.89/26.49 tff(constB9_type, type, (
% 40.89/26.49 constB9: state_type)).
% 40.89/26.49 tff(constB8_type, type, (
% 40.89/26.49 constB8: state_type)).
% 40.89/26.49 tff(constB7_type, type, (
% 40.89/26.49 constB7: state_type)).
% 40.89/26.49 tff(constB6_type, type, (
% 40.89/26.49 constB6: state_type)).
% 40.89/26.49 tff(constB5_type, type, (
% 40.89/26.49 constB5: state_type)).
% 40.89/26.49 tff(constB4_type, type, (
% 40.89/26.49 constB4: state_type)).
% 40.89/26.49 tff(constB3_type, type, (
% 40.89/26.49 constB3: state_type)).
% 40.89/26.49 tff(constB2_type, type, (
% 40.89/26.49 constB2: state_type)).
% 40.89/26.49 tff(constB1_type, type, (
% 40.89/26.49 constB1: state_type)).
% 40.89/26.49 tff(v119_type, type, (
% 40.89/26.49 v119: state_type > $o)).
% 40.89/26.49 tff(v101_type, type, (
% 40.89/26.49 v101: state_type > $o)).
% 40.89/26.49 tff(constB0_type, type, (
% 40.89/26.49 constB0: state_type)).
% 40.89/26.49 tff(v102_type, type, (
% 40.89/26.49 v102: state_type > $o)).
% 40.89/26.49 tff(v104_type, type, (
% 40.89/26.49 v104: state_type > $o)).
% 40.89/26.49 tff(v124_type, type, (
% 40.89/26.49 v124: state_type > $o)).
% 40.89/26.49 tff(constB25_type, type, (
% 40.89/26.49 constB25: state_type)).
% 40.89/26.49 tff(constB24_type, type, (
% 40.89/26.49 constB24: state_type)).
% 40.89/26.49 tff(constB26_type, type, (
% 40.89/26.49 constB26: state_type)).
% 40.89/26.49 tff(constB32_type, type, (
% 40.89/26.49 constB32: state_type)).
% 40.89/26.49 tff(constB70_type, type, (
% 40.89/26.49 constB70: state_type)).
% 40.89/26.49 tff(constB88_type, type, (
% 40.89/26.49 constB88: state_type)).
% 40.89/26.49 tff(constB90_type, type, (
% 40.89/26.49 constB90: state_type)).
% 40.89/26.49 tff(v166_type, type, (
% 40.89/26.49 v166: state_type > $o)).
% 40.89/26.49 tff(v179_type, type, (
% 40.89/26.49 v179: state_type > $o)).
% 40.89/26.49 tff(v180_type, type, (
% 40.89/26.49 v180: state_type > $o)).
% 40.89/26.49 tff(v181_type, type, (
% 40.89/26.49 v181: state_type > $o)).
% 40.89/26.49 tff(v168_type, type, (
% 40.89/26.49 v168: state_type > $o)).
% 40.89/26.49 tff(v169_type, type, (
% 40.89/26.49 v169: state_type > $o)).
% 40.89/26.49 tff(v140_type, type, (
% 40.89/26.49 v140: state_type > $o)).
% 40.89/26.49 tff(v196_type, type, (
% 40.89/26.49 v196: state_type > $o)).
% 40.89/26.49 tff(v141_type, type, (
% 40.89/26.49 v141: state_type > $o)).
% 40.89/26.49 tff(constB173_type, type, (
% 40.89/26.49 constB173: state_type)).
% 40.89/26.49 tff(constB172_type, type, (
% 40.89/26.49 constB172: state_type)).
% 40.89/26.49 tff(constB171_type, type, (
% 40.89/26.49 constB171: state_type)).
% 40.89/26.49 tff(constB170_type, type, (
% 40.89/26.49 constB170: state_type)).
% 40.89/26.49 tff(constB169_type, type, (
% 40.89/26.49 constB169: state_type)).
% 40.89/26.49 tff(constB168_type, type, (
% 40.89/26.49 constB168: state_type)).
% 40.89/26.49 tff(constB167_type, type, (
% 40.89/26.49 constB167: state_type)).
% 40.89/26.49 tff(constB163_type, type, (
% 40.89/26.49 constB163: state_type)).
% 40.89/26.49 tff(constB161_type, type, (
% 40.89/26.49 constB161: state_type)).
% 40.89/26.49 tff(constB160_type, type, (
% 40.89/26.49 constB160: state_type)).
% 40.89/26.49 tff(constB158_type, type, (
% 40.89/26.49 constB158: state_type)).
% 40.89/26.49 tff(constB157_type, type, (
% 40.89/26.49 constB157: state_type)).
% 40.89/26.49 tff(constB156_type, type, (
% 40.89/26.49 constB156: state_type)).
% 40.89/26.49 tff(constB155_type, type, (
% 40.89/26.49 constB155: state_type)).
% 40.89/26.49 tff(constB154_type, type, (
% 40.89/26.49 constB154: state_type)).
% 40.89/26.49 tff(constB153_type, type, (
% 40.89/26.49 constB153: state_type)).
% 40.89/26.49 tff(constB148_type, type, (
% 40.89/26.49 constB148: state_type)).
% 40.89/26.49 tff(constB147_type, type, (
% 40.89/26.49 constB147: state_type)).
% 40.89/26.49 tff(constB143_type, type, (
% 40.89/26.49 constB143: state_type)).
% 40.89/26.49 tff(constB142_type, type, (
% 40.89/26.49 constB142: state_type)).
% 40.89/26.49 tff(constB141_type, type, (
% 40.89/26.49 constB141: state_type)).
% 40.89/26.49 tff(constB139_type, type, (
% 40.89/26.49 constB139: state_type)).
% 40.89/26.49 tff(constB138_type, type, (
% 40.89/26.49 constB138: state_type)).
% 40.89/26.49 tff(constB137_type, type, (
% 40.89/26.49 constB137: state_type)).
% 40.89/26.49 tff(constB136_type, type, (
% 40.89/26.49 constB136: state_type)).
% 40.89/26.49 tff(constB135_type, type, (
% 40.89/26.49 constB135: state_type)).
% 40.89/26.49 tff(constB134_type, type, (
% 40.89/26.49 constB134: state_type)).
% 40.89/26.49 tff(constB133_type, type, (
% 40.89/26.49 constB133: state_type)).
% 40.89/26.49 tff(constB132_type, type, (
% 40.89/26.49 constB132: state_type)).
% 40.89/26.49 tff(constB131_type, type, (
% 40.89/26.49 constB131: state_type)).
% 40.89/26.49 tff(constB130_type, type, (
% 40.89/26.49 constB130: state_type)).
% 40.89/26.49 tff(constB129_type, type, (
% 40.89/26.49 constB129: state_type)).
% 40.89/26.49 tff(constB128_type, type, (
% 40.89/26.49 constB128: state_type)).
% 40.89/26.49 tff(constB127_type, type, (
% 40.89/26.49 constB127: state_type)).
% 40.89/26.49 tff(constB126_type, type, (
% 40.89/26.49 constB126: state_type)).
% 40.89/26.49 tff(constB140_type, type, (
% 40.89/26.49 constB140: state_type)).
% 40.89/26.49 tff(constB145_type, type, (
% 40.89/26.49 constB145: state_type)).
% 40.89/26.49 tff(constB144_type, type, (
% 40.89/26.49 constB144: state_type)).
% 40.89/26.49 tff(constB146_type, type, (
% 40.89/26.49 constB146: state_type)).
% 40.89/26.49 tff(constB149_type, type, (
% 40.89/26.49 constB149: state_type)).
% 40.89/26.49 tff(constB151_type, type, (
% 40.89/26.49 constB151: state_type)).
% 40.89/26.49 tff(constB152_type, type, (
% 40.89/26.49 constB152: state_type)).
% 40.89/26.49 tff(constB150_type, type, (
% 40.89/26.49 constB150: state_type)).
% 40.89/26.49 tff(constB162_type, type, (
% 40.89/26.49 constB162: state_type)).
% 40.89/26.49 tff(constB165_type, type, (
% 40.89/26.49 constB165: state_type)).
% 40.89/26.49 tff(constB164_type, type, (
% 40.89/26.49 constB164: state_type)).
% 40.89/26.49 tff(constB166_type, type, (
% 40.89/26.49 constB166: state_type)).
% 40.89/26.49 tff(v144_type, type, (
% 40.89/26.49 v144: state_type > $o)).
% 40.89/26.49 tff(constB180_type, type, (
% 40.89/26.49 constB180: state_type)).
% 40.89/26.49 tff(v139_type, type, (
% 40.89/26.49 v139: state_type > $o)).
% 40.89/26.49 tff(constB188_type, type, (
% 40.89/26.49 constB188: state_type)).
% 40.89/26.49 tff(constB199_type, type, (
% 40.89/26.49 constB199: state_type)).
% 40.89/26.49 tff(constB198_type, type, (
% 40.89/26.49 constB198: state_type)).
% 40.89/26.49 tff(constB197_type, type, (
% 40.89/26.49 constB197: state_type)).
% 40.89/26.49 tff(constB196_type, type, (
% 40.89/26.49 constB196: state_type)).
% 40.89/26.49 tff(constB195_type, type, (
% 40.89/26.49 constB195: state_type)).
% 40.89/26.49 tff(constB194_type, type, (
% 40.89/26.49 constB194: state_type)).
% 40.89/26.49 tff(constB193_type, type, (
% 40.89/26.49 constB193: state_type)).
% 40.89/26.49 tff(constB192_type, type, (
% 40.89/26.49 constB192: state_type)).
% 40.89/26.49 tff(constB191_type, type, (
% 40.89/26.49 constB191: state_type)).
% 40.89/26.49 tff(constB190_type, type, (
% 40.89/26.49 constB190: state_type)).
% 40.89/26.49 tff(constB189_type, type, (
% 40.89/26.49 constB189: state_type)).
% 40.89/26.49 tff(constB187_type, type, (
% 40.89/26.49 constB187: state_type)).
% 40.89/26.49 tff(constB186_type, type, (
% 40.89/26.49 constB186: state_type)).
% 40.89/26.49 tff(constB185_type, type, (
% 40.89/26.49 constB185: state_type)).
% 40.89/26.49 tff(constB184_type, type, (
% 40.89/26.49 constB184: state_type)).
% 40.89/26.49 tff(constB183_type, type, (
% 40.89/26.49 constB183: state_type)).
% 40.89/26.49 tff(constB182_type, type, (
% 40.89/26.49 constB182: state_type)).
% 40.89/26.49 tff(constB181_type, type, (
% 40.89/26.49 constB181: state_type)).
% 40.89/26.49 tff(constB179_type, type, (
% 40.89/26.49 constB179: state_type)).
% 40.89/26.49 tff(constB178_type, type, (
% 40.89/26.49 constB178: state_type)).
% 40.89/26.49 tff(constB177_type, type, (
% 40.89/26.49 constB177: state_type)).
% 40.89/26.49 tff(constB175_type, type, (
% 40.89/26.49 constB175: state_type)).
% 40.89/26.49 tff(constB174_type, type, (
% 40.89/26.49 constB174: state_type)).
% 40.89/26.49 tff(constB176_type, type, (
% 40.89/26.49 constB176: state_type)).
% 40.89/26.49 tff(constB200_type, type, (
% 40.89/26.49 constB200: state_type)).
% 40.89/26.49 tff(reachableState_type, type, (
% 40.89/26.49 reachableState: state_type > $o)).
% 40.89/26.49 tff(1,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 40.89/26.49 tff(2,plain,
% 40.89/26.49 (v1(constB46) <=> v1(sK0_VarCurr)),
% 40.89/26.49 inference(monotonicity,[status(thm)],[1])).
% 40.89/26.49 tff(3,plain,
% 40.89/26.49 (v1(sK0_VarCurr) <=> v1(constB46)),
% 40.89/26.49 inference(symmetry,[status(thm)],[2])).
% 40.89/26.49 tff(4,plain,
% 40.89/26.49 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 40.89/26.49 inference(monotonicity,[status(thm)],[3])).
% 40.89/26.49 tff(5,plain,
% 40.89/26.49 (v205(sK0_VarCurr) <=> v205(sK0_VarCurr)),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(6,axiom,(v205(sK0_VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 40.89/26.49 tff(7,plain,
% 40.89/26.49 (v205(sK0_VarCurr)),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[6, 5])).
% 40.89/26.49 tff(8,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl((v206(VarCurr) | (~v205(VarCurr))) <=> (v206(VarCurr) | (~v205(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(9,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[8])).
% 40.89/26.49 tff(10,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(11,plain,
% 40.89/26.49 (^[VarCurr: state_type] : rewrite(((~v205(VarCurr)) | v206(VarCurr)) <=> (v206(VarCurr) | (~v205(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(12,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v205(VarCurr)) | v206(VarCurr)) <=> ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[11])).
% 40.89/26.49 tff(13,axiom,(![VarCurr: state_type] : ((~v205(VarCurr)) | v206(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1_1_1')).
% 40.89/26.49 tff(14,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[13, 12])).
% 40.89/26.49 tff(15,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[14, 10])).
% 40.89/26.49 tff(16,plain,(
% 40.89/26.49 ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(skolemize,[status(sab)],[15])).
% 40.89/26.49 tff(17,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[16, 9])).
% 40.89/26.49 tff(18,plain,
% 40.89/26.49 (((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(19,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(20,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[19, 18])).
% 40.89/26.49 tff(21,plain,
% 40.89/26.49 (v206(sK0_VarCurr)),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[20, 17, 7])).
% 40.89/26.49 tff(22,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl((v207(VarCurr) | (~v206(VarCurr))) <=> (v207(VarCurr) | (~v206(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(23,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[22])).
% 40.89/26.49 tff(24,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(25,plain,
% 40.89/26.49 (^[VarCurr: state_type] : rewrite(((~v206(VarCurr)) | v207(VarCurr)) <=> (v207(VarCurr) | (~v206(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(26,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v206(VarCurr)) | v207(VarCurr)) <=> ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[25])).
% 40.89/26.49 tff(27,axiom,(![VarCurr: state_type] : ((~v206(VarCurr)) | v207(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_52_1_1_1_1')).
% 40.89/26.49 tff(28,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[27, 26])).
% 40.89/26.49 tff(29,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[28, 24])).
% 40.89/26.49 tff(30,plain,(
% 40.89/26.49 ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 40.89/26.49 inference(skolemize,[status(sab)],[29])).
% 40.89/26.49 tff(31,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[30, 23])).
% 40.89/26.49 tff(32,plain,
% 40.89/26.49 (((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(33,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(34,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[33, 32])).
% 40.89/26.49 tff(35,plain,
% 40.89/26.49 (v207(sK0_VarCurr)),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[34, 31, 21])).
% 40.89/26.49 tff(36,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl((v197(VarCurr) | (~v207(VarCurr))) <=> (v197(VarCurr) | (~v207(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(37,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[36])).
% 40.89/26.49 tff(38,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(39,plain,
% 40.89/26.49 (^[VarCurr: state_type] : rewrite(((~v207(VarCurr)) | v197(VarCurr)) <=> (v197(VarCurr) | (~v207(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(40,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v207(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[39])).
% 40.89/26.49 tff(41,axiom,(![VarCurr: state_type] : ((~v207(VarCurr)) | v197(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1_1')).
% 40.89/26.49 tff(42,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[41, 40])).
% 40.89/26.49 tff(43,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[42, 38])).
% 40.89/26.49 tff(44,plain,(
% 40.89/26.49 ![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 40.89/26.49 inference(skolemize,[status(sab)],[43])).
% 40.89/26.49 tff(45,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[44, 37])).
% 40.89/26.49 tff(46,plain,
% 40.89/26.49 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))) | (v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))) | v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(47,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))) | (v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(48,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))) | v197(sK0_VarCurr) | (~v207(sK0_VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[47, 46])).
% 40.89/26.49 tff(49,plain,
% 40.89/26.49 (v197(sK0_VarCurr)),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[48, 45, 35])).
% 40.89/26.49 tff(50,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl(((~v1(VarCurr)) | (~v197(VarCurr))) <=> ((~v1(VarCurr)) | (~v197(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(51,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[50])).
% 40.89/26.49 tff(52,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(53,plain,
% 40.89/26.49 (^[VarCurr: state_type] : rewrite(((~v197(VarCurr)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v197(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(54,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v197(VarCurr)) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[53])).
% 40.89/26.49 tff(55,axiom,(![VarCurr: state_type] : ((~v197(VarCurr)) | (~v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 40.89/26.49 tff(56,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[55, 54])).
% 40.89/26.49 tff(57,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[56, 52])).
% 40.89/26.49 tff(58,plain,(
% 40.89/26.49 ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 40.89/26.49 inference(skolemize,[status(sab)],[57])).
% 40.89/26.49 tff(59,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[58, 51])).
% 40.89/26.49 tff(60,plain,
% 40.89/26.49 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(61,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(62,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[61, 60])).
% 40.89/26.49 tff(63,plain,
% 40.89/26.49 (~v1(sK0_VarCurr)),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[62, 59, 49])).
% 40.89/26.49 tff(64,plain,
% 40.89/26.49 (~v1(constB46)),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[63, 4])).
% 40.89/26.49 tff(65,plain,
% 40.89/26.49 (v1(constB46) <=> v1(constB46)),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(66,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 40.89/26.49 tff(67,plain,
% 40.89/26.49 (v1(constB46)),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[66, 65])).
% 40.89/26.49 tff(68,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[67, 64])).
% 40.89/26.49 tff(69,plain,(~(constB46 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(70,assumption,(constB125 = sK0_VarCurr), introduced(assumption)).
% 40.89/26.49 tff(71,plain,
% 40.89/26.49 (v193(constB125) <=> v193(sK0_VarCurr)),
% 40.89/26.49 inference(monotonicity,[status(thm)],[70])).
% 40.89/26.49 tff(72,plain,
% 40.89/26.49 (v193(sK0_VarCurr) <=> v193(constB125)),
% 40.89/26.49 inference(symmetry,[status(thm)],[71])).
% 40.89/26.49 tff(73,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl((v193(VarCurr) | (~v205(VarCurr))) <=> (v193(VarCurr) | (~v205(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(74,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[73])).
% 40.89/26.49 tff(75,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(76,plain,
% 40.89/26.49 (^[VarCurr: state_type] : rewrite(((~v205(VarCurr)) | v193(VarCurr)) <=> (v193(VarCurr) | (~v205(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(77,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v205(VarCurr)) | v193(VarCurr)) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[76])).
% 40.89/26.49 tff(78,axiom,(![VarCurr: state_type] : ((~v205(VarCurr)) | v193(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1_1_2')).
% 40.89/26.49 tff(79,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[78, 77])).
% 40.89/26.49 tff(80,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[79, 75])).
% 40.89/26.49 tff(81,plain,(
% 40.89/26.49 ![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(skolemize,[status(sab)],[80])).
% 40.89/26.49 tff(82,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[81, 74])).
% 40.89/26.49 tff(83,plain,
% 40.89/26.49 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))) | (v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))) | v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(84,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))) | (v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(85,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))) | v193(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[84, 83])).
% 40.89/26.49 tff(86,plain,
% 40.89/26.49 (v193(sK0_VarCurr)),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[85, 82, 7])).
% 40.89/26.49 tff(87,plain,
% 40.89/26.49 (v193(constB125)),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[86, 72])).
% 40.89/26.49 tff(88,assumption,(v26(constB113)), introduced(assumption)).
% 40.89/26.49 tff(89,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(90,plain,
% 40.89/26.49 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[89])).
% 40.89/26.49 tff(91,plain,
% 40.89/26.49 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(92,axiom,(![VarCurr: state_type] : (~v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 40.89/26.49 tff(93,plain,
% 40.89/26.49 (![VarCurr: state_type] : (~v26(VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[92, 91])).
% 40.89/26.49 tff(94,plain,(
% 40.89/26.49 ![VarCurr: state_type] : (~v26(VarCurr))),
% 40.89/26.49 inference(skolemize,[status(sab)],[93])).
% 40.89/26.49 tff(95,plain,
% 40.89/26.49 (![VarCurr: state_type] : (~v26(VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[94, 90])).
% 40.89/26.49 tff(96,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(97,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[96, 95, 88])).
% 40.89/26.49 tff(98,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(99,assumption,(v26(constB111)), introduced(assumption)).
% 40.89/26.49 tff(100,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(101,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[100, 95, 99])).
% 40.89/26.49 tff(102,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(103,assumption,(v26(constB109)), introduced(assumption)).
% 40.89/26.49 tff(104,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(105,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[104, 95, 103])).
% 40.89/26.49 tff(106,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(107,assumption,(v26(constB65)), introduced(assumption)).
% 40.89/26.49 tff(108,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(109,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[108, 95, 107])).
% 40.89/26.49 tff(110,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(111,assumption,(v26(constB63)), introduced(assumption)).
% 40.89/26.49 tff(112,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(113,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[112, 95, 111])).
% 40.89/26.49 tff(114,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(115,assumption,(v26(constB47)), introduced(assumption)).
% 40.89/26.49 tff(116,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(117,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[116, 95, 115])).
% 40.89/26.49 tff(118,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(119,assumption,(v26(constB45)), introduced(assumption)).
% 40.89/26.49 tff(120,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(121,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[120, 95, 119])).
% 40.89/26.49 tff(122,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(123,assumption,(v26(constB43)), introduced(assumption)).
% 40.89/26.49 tff(124,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(125,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[124, 95, 123])).
% 40.89/26.49 tff(126,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(127,assumption,(v26(constB41)), introduced(assumption)).
% 40.89/26.49 tff(128,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(129,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[128, 95, 127])).
% 40.89/26.49 tff(130,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(131,assumption,(v18(constB18)), introduced(assumption)).
% 40.89/26.49 tff(132,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(133,plain,
% 40.89/26.49 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[132])).
% 40.89/26.49 tff(134,plain,
% 40.89/26.49 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(135,axiom,(![VarCurr: state_type] : (~v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 40.89/26.49 tff(136,plain,
% 40.89/26.49 (![VarCurr: state_type] : (~v18(VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[135, 134])).
% 40.89/26.49 tff(137,plain,(
% 40.89/26.49 ![VarCurr: state_type] : (~v18(VarCurr))),
% 40.89/26.49 inference(skolemize,[status(sab)],[136])).
% 40.89/26.49 tff(138,plain,
% 40.89/26.49 (![VarCurr: state_type] : (~v18(VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[137, 133])).
% 40.89/26.49 tff(139,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB18))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(140,plain,
% 40.89/26.49 ($false),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[139, 138, 131])).
% 40.89/26.49 tff(141,plain,(~v18(constB18)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.49 tff(142,plain,
% 40.89/26.49 (v1(constB18) <=> v1(constB18)),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(143,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 40.89/26.49 tff(144,plain,
% 40.89/26.49 (v1(constB18)),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[143, 142])).
% 40.89/26.49 tff(145,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(146,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[145])).
% 40.89/26.49 tff(147,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(148,plain,
% 40.89/26.49 (^[VarCurr: state_type] : rewrite(((~v1(VarCurr)) | v22(VarCurr)) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(149,plain,
% 40.89/26.49 (![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr)) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[148])).
% 40.89/26.49 tff(150,axiom,(![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 40.89/26.49 tff(151,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[150, 149])).
% 40.89/26.49 tff(152,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[151, 147])).
% 40.89/26.49 tff(153,plain,(
% 40.89/26.49 ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 40.89/26.49 inference(skolemize,[status(sab)],[152])).
% 40.89/26.49 tff(154,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[153, 146])).
% 40.89/26.49 tff(155,plain,
% 40.89/26.49 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(156,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(157,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[156, 155])).
% 40.89/26.49 tff(158,plain,
% 40.89/26.49 (v22(constB18)),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[157, 154, 144])).
% 40.89/26.49 tff(159,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl((v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(160,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[159])).
% 40.89/26.49 tff(161,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(162,plain,
% 40.89/26.49 (^[VarCurr: state_type] : rewrite((((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(163,plain,
% 40.89/26.49 (![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[162])).
% 40.89/26.49 tff(164,axiom,(![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 40.89/26.49 tff(165,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[164, 163])).
% 40.89/26.49 tff(166,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[165, 161])).
% 40.89/26.49 tff(167,plain,(
% 40.89/26.49 ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 40.89/26.49 inference(skolemize,[status(sab)],[166])).
% 40.89/26.49 tff(168,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[167, 160])).
% 40.89/26.49 tff(169,plain,
% 40.89/26.49 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(170,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(171,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[170, 169])).
% 40.89/26.49 tff(172,plain,
% 40.89/26.49 (v18(constB18) | (~v19(constB18))),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[171, 168, 158])).
% 40.89/26.49 tff(173,plain,
% 40.89/26.49 (~v19(constB18)),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[172, 141])).
% 40.89/26.49 tff(174,plain,
% 40.89/26.49 (^[VarCurr: state_type] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 40.89/26.49 inference(bind,[status(th)],[])).
% 40.89/26.49 tff(175,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 40.89/26.49 inference(quant_intro,[status(thm)],[174])).
% 40.89/26.49 tff(176,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(177,axiom,(![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_2')).
% 40.89/26.49 tff(178,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[177, 176])).
% 40.89/26.49 tff(179,plain,(
% 40.89/26.49 ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 40.89/26.49 inference(skolemize,[status(sab)],[178])).
% 40.89/26.49 tff(180,plain,
% 40.89/26.49 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[179, 175])).
% 40.89/26.49 tff(181,plain,
% 40.89/26.49 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18))),
% 40.89/26.49 inference(rewrite,[status(thm)],[])).
% 40.89/26.49 tff(182,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))),
% 40.89/26.49 inference(quant_inst,[status(thm)],[])).
% 40.89/26.49 tff(183,plain,
% 40.89/26.49 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18)),
% 40.89/26.49 inference(modus_ponens,[status(thm)],[182, 181])).
% 40.89/26.49 tff(184,plain,
% 40.89/26.49 (v13(constB18)),
% 40.89/26.49 inference(unit_resolution,[status(thm)],[183, 180, 173])).
% 40.89/26.50 tff(185,plain,
% 40.89/26.50 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(186,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 40.89/26.50 tff(187,plain,
% 40.89/26.50 (nextState(constB17, constB18)),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[186, 185])).
% 40.89/26.50 tff(188,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : refl((v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(189,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[188])).
% 40.89/26.50 tff(190,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(191,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) <=> ((~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)))), rewrite((((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(192,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[191])).
% 40.89/26.50 tff(193,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_13_2')).
% 40.89/26.50 tff(194,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[193, 192])).
% 40.89/26.50 tff(195,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[194, 190])).
% 40.89/26.50 tff(196,plain,(
% 40.89/26.50 ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 40.89/26.50 inference(skolemize,[status(sab)],[195])).
% 40.89/26.50 tff(197,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[196, 189])).
% 40.89/26.50 tff(198,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(199,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(200,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[199, 198])).
% 40.89/26.50 tff(201,plain,
% 40.89/26.50 (v9(constB17) | (~v13(constB18))),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[200, 197, 187])).
% 40.89/26.50 tff(202,plain,
% 40.89/26.50 (v9(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[201, 184])).
% 40.89/26.50 tff(203,plain,
% 40.89/26.50 (^[VarCurr: state_type] : refl(((~v9(VarCurr)) | v80(VarCurr)) <=> ((~v9(VarCurr)) | v80(VarCurr)))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(204,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[203])).
% 40.89/26.50 tff(205,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(206,axiom,(![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 40.89/26.50 tff(207,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[206, 205])).
% 40.89/26.50 tff(208,plain,(
% 40.89/26.50 ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 40.89/26.50 inference(skolemize,[status(sab)],[207])).
% 40.89/26.50 tff(209,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[208, 204])).
% 40.89/26.50 tff(210,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB17)) | v80(constB17))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB17)) | v80(constB17))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(211,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB17)) | v80(constB17))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(212,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB17)) | v80(constB17)),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[211, 210])).
% 40.89/26.50 tff(213,plain,
% 40.89/26.50 (v80(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[212, 209, 202])).
% 40.89/26.50 tff(214,plain,
% 40.89/26.50 ((~v1(constB17)) <=> (~v1(constB17))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(215,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 40.89/26.50 tff(216,plain,
% 40.89/26.50 (~v1(constB17)),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[215, 214])).
% 40.89/26.50 tff(217,plain,
% 40.89/26.50 (^[VarCurr: state_type] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(218,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[217])).
% 40.89/26.50 tff(219,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(220,axiom,(![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 40.89/26.50 tff(221,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[220, 219])).
% 40.89/26.50 tff(222,plain,(
% 40.89/26.50 ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 40.89/26.50 inference(skolemize,[status(sab)],[221])).
% 40.89/26.50 tff(223,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[222, 218])).
% 40.89/26.50 tff(224,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB17) | v78(constB17))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB17) | v78(constB17))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(225,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB17) | v78(constB17))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(226,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB17) | v78(constB17)),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[225, 224])).
% 40.89/26.50 tff(227,plain,
% 40.89/26.50 (v78(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[226, 223, 216])).
% 40.89/26.50 tff(228,plain,
% 40.89/26.50 (^[VarCurr: state_type] : refl((v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(229,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[228])).
% 40.89/26.50 tff(230,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(231,plain,
% 40.89/26.50 (^[VarCurr: state_type] : rewrite((((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(232,plain,
% 40.89/26.50 (![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[231])).
% 40.89/26.50 tff(233,axiom,(![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 40.89/26.50 tff(234,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[233, 232])).
% 40.89/26.50 tff(235,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[234, 230])).
% 40.89/26.50 tff(236,plain,(
% 40.89/26.50 ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 40.89/26.50 inference(skolemize,[status(sab)],[235])).
% 40.89/26.50 tff(237,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[236, 229])).
% 40.89/26.50 tff(238,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB17) | (~v80(constB17)) | (~v78(constB17)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB17) | (~v80(constB17)) | (~v78(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(239,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB17) | (~v80(constB17)) | (~v78(constB17)))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(240,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB17) | (~v80(constB17)) | (~v78(constB17))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[239, 238])).
% 40.89/26.50 tff(241,plain,
% 40.89/26.50 (v76(constB17) | (~v80(constB17))),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[240, 237, 227])).
% 40.89/26.50 tff(242,plain,
% 40.89/26.50 (v76(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[241, 213])).
% 40.89/26.50 tff(243,assumption,(v71(constB17)), introduced(assumption)).
% 40.89/26.50 tff(244,plain,
% 40.89/26.50 (^[VarCurr: state_type] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(245,plain,
% 40.89/26.50 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[244])).
% 40.89/26.50 tff(246,plain,
% 40.89/26.50 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(247,axiom,(![VarCurr: state_type] : (~v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 40.89/26.50 tff(248,plain,
% 40.89/26.50 (![VarCurr: state_type] : (~v71(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[247, 246])).
% 40.89/26.50 tff(249,plain,(
% 40.89/26.50 ![VarCurr: state_type] : (~v71(VarCurr))),
% 40.89/26.50 inference(skolemize,[status(sab)],[248])).
% 40.89/26.50 tff(250,plain,
% 40.89/26.50 (![VarCurr: state_type] : (~v71(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[249, 245])).
% 40.89/26.50 tff(251,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB17))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(252,plain,
% 40.89/26.50 ($false),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[251, 250, 243])).
% 40.89/26.50 tff(253,plain,(~v71(constB17)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.50 tff(254,plain,
% 40.89/26.50 (^[VarCurr: state_type] : refl((v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(255,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[254])).
% 40.89/26.50 tff(256,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(257,plain,
% 40.89/26.50 (^[VarCurr: state_type] : rewrite((((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(258,plain,
% 40.89/26.50 (![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[257])).
% 40.89/26.50 tff(259,axiom,(![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 40.89/26.50 tff(260,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[259, 258])).
% 40.89/26.50 tff(261,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[260, 256])).
% 40.89/26.50 tff(262,plain,(
% 40.89/26.50 ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 40.89/26.50 inference(skolemize,[status(sab)],[261])).
% 40.89/26.50 tff(263,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[262, 255])).
% 40.89/26.50 tff(264,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB17) | (~v76(constB17)) | (~v72(constB17)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | v71(constB17) | (~v76(constB17)) | (~v72(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(265,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB17) | (~v76(constB17)) | (~v72(constB17)))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(266,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | v71(constB17) | (~v76(constB17)) | (~v72(constB17))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[265, 264])).
% 40.89/26.50 tff(267,plain,
% 40.89/26.50 ((~v76(constB17)) | (~v72(constB17))),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[266, 263, 253])).
% 40.89/26.50 tff(268,plain,
% 40.89/26.50 (~v72(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[267, 242])).
% 40.89/26.50 tff(269,plain,
% 40.89/26.50 (^[VarCurr: state_type] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(270,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[269])).
% 40.89/26.50 tff(271,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(272,plain,
% 40.89/26.50 (^[VarCurr: state_type] : rewrite(((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(273,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[272])).
% 40.89/26.50 tff(274,axiom,(![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 40.89/26.50 tff(275,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[274, 273])).
% 40.89/26.50 tff(276,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[275, 271])).
% 40.89/26.50 tff(277,plain,(
% 40.89/26.50 ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 40.89/26.50 inference(skolemize,[status(sab)],[276])).
% 40.89/26.50 tff(278,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[277, 270])).
% 40.89/26.50 tff(279,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB17) | v72(constB17) | v74(constB17))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB17) | v72(constB17) | v74(constB17))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(280,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB17) | v72(constB17) | v74(constB17))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(281,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB17) | v72(constB17) | v74(constB17)),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[280, 279])).
% 40.89/26.50 tff(282,plain,
% 40.89/26.50 (v72(constB17) | v74(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[281, 278, 216])).
% 40.89/26.50 tff(283,plain,
% 40.89/26.50 (v74(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[282, 268])).
% 40.89/26.50 tff(284,plain,
% 40.89/26.50 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(285,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[284])).
% 40.89/26.50 tff(286,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(287,plain,
% 40.89/26.50 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v64(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(288,plain,
% 40.89/26.50 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[287])).
% 40.89/26.50 tff(289,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 40.89/26.50 tff(290,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[289, 288])).
% 40.89/26.50 tff(291,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[290, 286])).
% 40.89/26.50 tff(292,plain,(
% 40.89/26.50 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 40.89/26.50 inference(skolemize,[status(sab)],[291])).
% 40.89/26.50 tff(293,plain,
% 40.89/26.50 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[292, 285])).
% 40.89/26.50 tff(294,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | v64(constB17) | (~v9(constB17)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB17) | v64(constB17) | (~v9(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(295,plain,
% 40.89/26.50 ((v1(constB17) | (~v9(constB17)) | v64(constB17)) <=> (v1(constB17) | v64(constB17) | (~v9(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(296,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v64(constB17))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | v64(constB17) | (~v9(constB17))))),
% 40.89/26.50 inference(monotonicity,[status(thm)],[295])).
% 40.89/26.50 tff(297,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v64(constB17))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB17) | v64(constB17) | (~v9(constB17)))),
% 40.89/26.50 inference(transitivity,[status(thm)],[296, 294])).
% 40.89/26.50 tff(298,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v64(constB17))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(299,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB17) | v64(constB17) | (~v9(constB17))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[298, 297])).
% 40.89/26.50 tff(300,plain,
% 40.89/26.50 (v64(constB17) | (~v9(constB17))),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[299, 293, 216])).
% 40.89/26.50 tff(301,plain,
% 40.89/26.50 (v64(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[300, 202])).
% 40.89/26.50 tff(302,assumption,(v26(constB16)), introduced(assumption)).
% 40.89/26.50 tff(303,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB16))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(304,plain,
% 40.89/26.50 ($false),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[303, 95, 302])).
% 40.89/26.50 tff(305,plain,(~v26(constB16)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.50 tff(306,plain,
% 40.89/26.50 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(307,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 40.89/26.50 tff(308,plain,
% 40.89/26.50 (nextState(constB16, constB17)),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[307, 306])).
% 40.89/26.50 tff(309,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(310,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[309])).
% 40.89/26.50 tff(311,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(312,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v66(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(313,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[312])).
% 40.89/26.50 tff(314,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 40.89/26.50 tff(315,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[314, 313])).
% 40.89/26.50 tff(316,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[315, 311])).
% 40.89/26.50 tff(317,plain,(
% 40.89/26.50 ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 40.89/26.50 inference(skolemize,[status(sab)],[316])).
% 40.89/26.50 tff(318,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[317, 310])).
% 40.89/26.50 tff(319,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(320,plain,
% 40.89/26.50 ((v26(constB16) | (~nextState(constB16, constB17)) | (~v66(constB17))) <=> ((~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(321,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB16) | (~nextState(constB16, constB17)) | (~v66(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17))))),
% 40.89/26.50 inference(monotonicity,[status(thm)],[320])).
% 40.89/26.50 tff(322,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB16) | (~nextState(constB16, constB17)) | (~v66(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17)))),
% 40.89/26.50 inference(transitivity,[status(thm)],[321, 319])).
% 40.89/26.50 tff(323,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB16) | (~nextState(constB16, constB17)) | (~v66(constB17)))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(324,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB16, constB17)) | v26(constB16) | (~v66(constB17))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[323, 322])).
% 40.89/26.50 tff(325,plain,
% 40.89/26.50 (v26(constB16) | (~v66(constB17))),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[324, 318, 308])).
% 40.89/26.50 tff(326,plain,
% 40.89/26.50 (~v66(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[325, 305])).
% 40.89/26.50 tff(327,plain,
% 40.89/26.50 (^[VarNext: state_type] : refl(((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(328,plain,
% 40.89/26.50 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[327])).
% 40.89/26.50 tff(329,plain,
% 40.89/26.50 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(330,plain,
% 40.89/26.50 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v64(VarNext)) | (~v60(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)))), ((((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)))), rewrite((((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))), ((((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(331,plain,
% 40.89/26.50 (![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[330])).
% 40.89/26.50 tff(332,axiom,(![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 40.89/26.50 tff(333,plain,
% 40.89/26.50 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[332, 331])).
% 40.89/26.50 tff(334,plain,
% 40.89/26.50 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[333, 329])).
% 40.89/26.50 tff(335,plain,(
% 40.89/26.50 ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 40.89/26.50 inference(skolemize,[status(sab)],[334])).
% 40.89/26.50 tff(336,plain,
% 40.89/26.50 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[335, 328])).
% 40.89/26.50 tff(337,plain,
% 40.89/26.50 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB17)) | v66(constB17) | (~v64(constB17)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB17)) | v66(constB17) | (~v64(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(338,plain,
% 40.89/26.50 (((~v64(constB17)) | v66(constB17) | (~v60(constB17))) <=> ((~v60(constB17)) | v66(constB17) | (~v64(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(339,plain,
% 40.89/26.50 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB17)) | v66(constB17) | (~v60(constB17)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB17)) | v66(constB17) | (~v64(constB17))))),
% 40.89/26.50 inference(monotonicity,[status(thm)],[338])).
% 40.89/26.50 tff(340,plain,
% 40.89/26.50 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB17)) | v66(constB17) | (~v60(constB17)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB17)) | v66(constB17) | (~v64(constB17)))),
% 40.89/26.50 inference(transitivity,[status(thm)],[339, 337])).
% 40.89/26.50 tff(341,plain,
% 40.89/26.50 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB17)) | v66(constB17) | (~v60(constB17)))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(342,plain,
% 40.89/26.50 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB17)) | v66(constB17) | (~v64(constB17))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[341, 340])).
% 40.89/26.50 tff(343,plain,
% 40.89/26.50 ((~v60(constB17)) | (~v64(constB17))),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[342, 336, 326])).
% 40.89/26.50 tff(344,plain,
% 40.89/26.50 (~v60(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[343, 301])).
% 40.89/26.50 tff(345,plain,
% 40.89/26.50 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(346,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[345])).
% 40.89/26.50 tff(347,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(348,plain,
% 40.89/26.50 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v74(VarCurr)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v74(VarCurr)))), ((((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> (((~v26(VarCurr)) | (~v74(VarCurr))) | v60(VarCurr)))), rewrite((((~v26(VarCurr)) | (~v74(VarCurr))) | v60(VarCurr)) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))), ((((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(349,plain,
% 40.89/26.50 (![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[348])).
% 40.89/26.50 tff(350,axiom,(![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 40.89/26.50 tff(351,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[350, 349])).
% 40.89/26.50 tff(352,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[351, 347])).
% 40.89/26.50 tff(353,plain,(
% 40.89/26.50 ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 40.89/26.50 inference(skolemize,[status(sab)],[352])).
% 40.89/26.50 tff(354,plain,
% 40.89/26.50 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[353, 346])).
% 40.89/26.50 tff(355,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB17) | (~v26(constB17)) | (~v74(constB17)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB17) | (~v26(constB17)) | (~v74(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(356,plain,
% 40.89/26.50 (((~v26(constB17)) | v60(constB17) | (~v74(constB17))) <=> (v60(constB17) | (~v26(constB17)) | (~v74(constB17)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(357,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB17)) | v60(constB17) | (~v74(constB17)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB17) | (~v26(constB17)) | (~v74(constB17))))),
% 40.89/26.50 inference(monotonicity,[status(thm)],[356])).
% 40.89/26.50 tff(358,plain,
% 40.89/26.50 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB17)) | v60(constB17) | (~v74(constB17)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB17) | (~v26(constB17)) | (~v74(constB17)))),
% 40.89/26.50 inference(transitivity,[status(thm)],[357, 355])).
% 40.89/26.50 tff(359,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB17)) | v60(constB17) | (~v74(constB17)))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(360,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB17) | (~v26(constB17)) | (~v74(constB17))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[359, 358])).
% 40.89/26.50 tff(361,plain,
% 40.89/26.50 ((~v26(constB17)) | (~v74(constB17))),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[360, 354, 344])).
% 40.89/26.50 tff(362,plain,
% 40.89/26.50 (~v26(constB17)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[361, 283])).
% 40.89/26.50 tff(363,assumption,(v26(constB13)), introduced(assumption)).
% 40.89/26.50 tff(364,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(365,plain,
% 40.89/26.50 ($false),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[364, 95, 363])).
% 40.89/26.50 tff(366,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.50 tff(367,assumption,(v26(constB11)), introduced(assumption)).
% 40.89/26.50 tff(368,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(369,plain,
% 40.89/26.50 ($false),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[368, 95, 367])).
% 40.89/26.50 tff(370,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.50 tff(371,assumption,(v26(constB1)), introduced(assumption)).
% 40.89/26.50 tff(372,plain,
% 40.89/26.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(373,plain,
% 40.89/26.50 ($false),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[372, 95, 371])).
% 40.89/26.50 tff(374,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 40.89/26.50 tff(375,assumption,(~v26(constB1)), introduced(assumption)).
% 40.89/26.50 tff(376,plain,
% 40.89/26.50 ((~v1(constB1)) <=> (~v1(constB1))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(377,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 40.89/26.50 tff(378,plain,
% 40.89/26.50 (~v1(constB1)),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[377, 376])).
% 40.89/26.50 tff(379,plain,
% 40.89/26.50 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(380,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_200')).
% 40.89/26.50 tff(381,plain,
% 40.89/26.50 (nextState(constB0, constB1)),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[380, 379])).
% 40.89/26.50 tff(382,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(383,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[382])).
% 40.89/26.50 tff(384,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(385,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(386,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[385])).
% 40.89/26.50 tff(387,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 40.89/26.50 tff(388,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[387, 386])).
% 40.89/26.50 tff(389,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[388, 384])).
% 40.89/26.50 tff(390,plain,(
% 40.89/26.50 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 40.89/26.50 inference(skolemize,[status(sab)],[389])).
% 40.89/26.50 tff(391,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[390, 383])).
% 40.89/26.50 tff(392,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(393,plain,
% 40.89/26.50 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(394,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 40.89/26.50 inference(monotonicity,[status(thm)],[393])).
% 40.89/26.50 tff(395,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 40.89/26.50 inference(transitivity,[status(thm)],[394, 392])).
% 40.89/26.50 tff(396,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(397,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[396, 395])).
% 40.89/26.50 tff(398,plain,
% 40.89/26.50 (~v101(constB1)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[397, 391, 381, 378])).
% 40.89/26.50 tff(399,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(400,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[399])).
% 40.89/26.50 tff(401,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(402,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(403,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[402])).
% 40.89/26.50 tff(404,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 40.89/26.50 tff(405,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[404, 403])).
% 40.89/26.50 tff(406,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[405, 401])).
% 40.89/26.50 tff(407,plain,(
% 40.89/26.50 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 40.89/26.50 inference(skolemize,[status(sab)],[406])).
% 40.89/26.50 tff(408,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[407, 400])).
% 40.89/26.50 tff(409,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(410,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(411,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[410, 409])).
% 40.89/26.50 tff(412,plain,
% 40.89/26.50 (v101(constB1) | (~v100(constB1))),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[411, 408, 381])).
% 40.89/26.50 tff(413,plain,
% 40.89/26.50 (~v100(constB1)),
% 40.89/26.50 inference(unit_resolution,[status(thm)],[412, 398])).
% 40.89/26.50 tff(414,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(415,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[414])).
% 40.89/26.50 tff(416,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(417,plain,
% 40.89/26.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))))),
% 40.89/26.50 inference(bind,[status(th)],[])).
% 40.89/26.50 tff(418,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 40.89/26.50 inference(quant_intro,[status(thm)],[417])).
% 40.89/26.50 tff(419,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_6')).
% 40.89/26.50 tff(420,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[419, 418])).
% 40.89/26.50 tff(421,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[420, 416])).
% 40.89/26.50 tff(422,plain,(
% 40.89/26.50 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 40.89/26.50 inference(skolemize,[status(sab)],[421])).
% 40.89/26.50 tff(423,plain,
% 40.89/26.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[422, 415])).
% 40.89/26.50 tff(424,plain,
% 40.89/26.50 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(425,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 40.89/26.50 tff(426,plain,
% 40.89/26.50 (~v90(constB0, bitIndex2)),
% 40.89/26.50 inference(modus_ponens,[status(thm)],[425, 424])).
% 40.89/26.50 tff(427,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(428,plain,
% 40.89/26.50 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2))) <=> (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 40.89/26.50 inference(rewrite,[status(thm)],[])).
% 40.89/26.50 tff(429,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))))),
% 40.89/26.50 inference(monotonicity,[status(thm)],[428])).
% 40.89/26.50 tff(430,plain,
% 40.89/26.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 40.89/26.50 inference(transitivity,[status(thm)],[429, 427])).
% 40.89/26.50 tff(431,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 40.89/26.50 inference(quant_inst,[status(thm)],[])).
% 40.89/26.50 tff(432,plain,
% 40.89/26.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[431, 430])).
% 40.89/26.51 tff(433,plain,
% 40.89/26.51 (v100(constB1) | (~v90(constB1, bitIndex2))),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[432, 426, 423, 381])).
% 40.89/26.51 tff(434,plain,
% 40.89/26.51 (~v90(constB1, bitIndex2)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[433, 413])).
% 40.89/26.51 tff(435,plain,
% 40.89/26.51 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(436,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[435])).
% 40.89/26.51 tff(437,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(438,plain,
% 40.89/26.51 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(439,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[438])).
% 40.89/26.51 tff(440,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_4')).
% 40.89/26.51 tff(441,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[440, 439])).
% 40.89/26.51 tff(442,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[441, 437])).
% 40.89/26.51 tff(443,plain,(
% 40.89/26.51 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 40.89/26.51 inference(skolemize,[status(sab)],[442])).
% 40.89/26.51 tff(444,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[443, 436])).
% 40.89/26.51 tff(445,plain,
% 40.89/26.51 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(446,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 40.89/26.51 tff(447,plain,
% 40.89/26.51 (~v90(constB0, bitIndex1)),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[446, 445])).
% 40.89/26.51 tff(448,plain,
% 40.89/26.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(449,plain,
% 40.89/26.51 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1))) <=> (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(450,plain,
% 40.89/26.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))))),
% 40.89/26.51 inference(monotonicity,[status(thm)],[449])).
% 40.89/26.51 tff(451,plain,
% 40.89/26.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 40.89/26.51 inference(transitivity,[status(thm)],[450, 448])).
% 40.89/26.51 tff(452,plain,
% 40.89/26.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(453,plain,
% 40.89/26.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[452, 451])).
% 40.89/26.51 tff(454,plain,
% 40.89/26.51 (v100(constB1) | (~v90(constB1, bitIndex1))),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[453, 447, 444, 381])).
% 40.89/26.51 tff(455,plain,
% 40.89/26.51 (~v90(constB1, bitIndex1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[454, 413])).
% 40.89/26.51 tff(456,plain,
% 40.89/26.51 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(457,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[456])).
% 40.89/26.51 tff(458,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(459,plain,
% 40.89/26.51 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(460,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[459])).
% 40.89/26.51 tff(461,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_2')).
% 40.89/26.51 tff(462,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[461, 460])).
% 40.89/26.51 tff(463,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[462, 458])).
% 40.89/26.51 tff(464,plain,(
% 40.89/26.51 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 40.89/26.51 inference(skolemize,[status(sab)],[463])).
% 40.89/26.51 tff(465,plain,
% 40.89/26.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[464, 457])).
% 40.89/26.51 tff(466,plain,
% 40.89/26.51 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(467,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 40.89/26.51 tff(468,plain,
% 40.89/26.51 (~v90(constB0, bitIndex0)),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[467, 466])).
% 40.89/26.51 tff(469,plain,
% 40.89/26.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(470,plain,
% 40.89/26.51 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0))) <=> (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(471,plain,
% 40.89/26.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))))),
% 40.89/26.51 inference(monotonicity,[status(thm)],[470])).
% 40.89/26.51 tff(472,plain,
% 40.89/26.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 40.89/26.51 inference(transitivity,[status(thm)],[471, 469])).
% 40.89/26.51 tff(473,plain,
% 40.89/26.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(474,plain,
% 40.89/26.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[473, 472])).
% 40.89/26.51 tff(475,plain,
% 40.89/26.51 (v100(constB1) | (~v90(constB1, bitIndex0))),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[474, 468, 465, 381])).
% 40.89/26.51 tff(476,plain,
% 40.89/26.51 (~v90(constB1, bitIndex0)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[475, 413])).
% 40.89/26.51 tff(477,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(478,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[477])).
% 40.89/26.51 tff(479,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(480,plain,
% 40.89/26.51 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v119(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(481,plain,
% 40.89/26.51 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[480])).
% 40.89/26.51 tff(482,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 40.89/26.51 tff(483,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[482, 481])).
% 40.89/26.51 tff(484,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[483, 479])).
% 40.89/26.51 tff(485,plain,(
% 40.89/26.51 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 40.89/26.51 inference(skolemize,[status(sab)],[484])).
% 40.89/26.51 tff(486,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[485, 478])).
% 40.89/26.51 tff(487,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(488,plain,
% 40.89/26.51 ((v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)) <=> (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(489,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1)))),
% 40.89/26.51 inference(monotonicity,[status(thm)],[488])).
% 40.89/26.51 tff(490,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))),
% 40.89/26.51 inference(transitivity,[status(thm)],[489, 487])).
% 40.89/26.51 tff(491,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(492,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1)),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[491, 490])).
% 40.89/26.51 tff(493,plain,
% 40.89/26.51 (v119(constB1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[492, 486, 476, 455, 434])).
% 40.89/26.51 tff(494,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v118(VarCurr)) <=> ((~v119(VarCurr)) | v118(VarCurr)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(495,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[494])).
% 40.89/26.51 tff(496,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(497,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 40.89/26.51 tff(498,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[497, 496])).
% 40.89/26.51 tff(499,plain,(
% 40.89/26.51 ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 40.89/26.51 inference(skolemize,[status(sab)],[498])).
% 40.89/26.51 tff(500,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[499, 495])).
% 40.89/26.51 tff(501,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(502,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(503,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1)),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[502, 501])).
% 40.89/26.51 tff(504,plain,
% 40.89/26.51 (v118(constB1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[503, 500, 493])).
% 40.89/26.51 tff(505,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v117(VarCurr)) <=> ((~v118(VarCurr)) | v117(VarCurr)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(506,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[505])).
% 40.89/26.51 tff(507,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(508,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 40.89/26.51 tff(509,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[508, 507])).
% 40.89/26.51 tff(510,plain,(
% 40.89/26.51 ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 40.89/26.51 inference(skolemize,[status(sab)],[509])).
% 40.89/26.51 tff(511,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[510, 506])).
% 40.89/26.51 tff(512,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(513,plain,
% 40.89/26.51 (((~v118(constB1)) | v117(constB1)) <=> (v117(constB1) | (~v118(constB1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(514,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1))))),
% 40.89/26.51 inference(monotonicity,[status(thm)],[513])).
% 40.89/26.51 tff(515,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 40.89/26.51 inference(transitivity,[status(thm)],[514, 512])).
% 40.89/26.51 tff(516,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(517,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[516, 515])).
% 40.89/26.51 tff(518,plain,
% 40.89/26.51 (v117(constB1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[517, 511, 504])).
% 40.89/26.51 tff(519,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl(((~v117(VarCurr)) | v116(VarCurr)) <=> ((~v117(VarCurr)) | v116(VarCurr)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(520,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[519])).
% 40.89/26.51 tff(521,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(522,axiom,(![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 40.89/26.51 tff(523,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[522, 521])).
% 40.89/26.51 tff(524,plain,(
% 40.89/26.51 ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 40.89/26.51 inference(skolemize,[status(sab)],[523])).
% 40.89/26.51 tff(525,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[524, 520])).
% 40.89/26.51 tff(526,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(527,plain,
% 40.89/26.51 (((~v117(constB1)) | v116(constB1)) <=> (v116(constB1) | (~v117(constB1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(528,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1))))),
% 40.89/26.51 inference(monotonicity,[status(thm)],[527])).
% 40.89/26.51 tff(529,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 40.89/26.51 inference(transitivity,[status(thm)],[528, 526])).
% 40.89/26.51 tff(530,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(531,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[530, 529])).
% 40.89/26.51 tff(532,plain,
% 40.89/26.51 (v116(constB1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[531, 525, 518])).
% 40.89/26.51 tff(533,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v115(VarCurr)) <=> ((~v116(VarCurr)) | v115(VarCurr)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(534,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[533])).
% 40.89/26.51 tff(535,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(536,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 40.89/26.51 tff(537,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[536, 535])).
% 40.89/26.51 tff(538,plain,(
% 40.89/26.51 ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 40.89/26.51 inference(skolemize,[status(sab)],[537])).
% 40.89/26.51 tff(539,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[538, 534])).
% 40.89/26.51 tff(540,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(541,plain,
% 40.89/26.51 (((~v116(constB1)) | v115(constB1)) <=> (v115(constB1) | (~v116(constB1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(542,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1))))),
% 40.89/26.51 inference(monotonicity,[status(thm)],[541])).
% 40.89/26.51 tff(543,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 40.89/26.51 inference(transitivity,[status(thm)],[542, 540])).
% 40.89/26.51 tff(544,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(545,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[544, 543])).
% 40.89/26.51 tff(546,plain,
% 40.89/26.51 (v115(constB1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[545, 539, 532])).
% 40.89/26.51 tff(547,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v114(VarCurr)) <=> ((~v115(VarCurr)) | v114(VarCurr)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(548,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[547])).
% 40.89/26.51 tff(549,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(550,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 40.89/26.51 tff(551,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[550, 549])).
% 40.89/26.51 tff(552,plain,(
% 40.89/26.51 ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 40.89/26.51 inference(skolemize,[status(sab)],[551])).
% 40.89/26.51 tff(553,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[552, 548])).
% 40.89/26.51 tff(554,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(555,plain,
% 40.89/26.51 (((~v115(constB1)) | v114(constB1)) <=> (v114(constB1) | (~v115(constB1)))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(556,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1))))),
% 40.89/26.51 inference(monotonicity,[status(thm)],[555])).
% 40.89/26.51 tff(557,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 40.89/26.51 inference(transitivity,[status(thm)],[556, 554])).
% 40.89/26.51 tff(558,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(559,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[558, 557])).
% 40.89/26.51 tff(560,plain,
% 40.89/26.51 (v114(constB1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[559, 553, 546])).
% 40.89/26.51 tff(561,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl(((~v114(VarCurr)) | v113(VarCurr)) <=> ((~v114(VarCurr)) | v113(VarCurr)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(562,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[561])).
% 40.89/26.51 tff(563,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(564,axiom,(![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 40.89/26.51 tff(565,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[564, 563])).
% 40.89/26.51 tff(566,plain,(
% 40.89/26.51 ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 40.89/26.51 inference(skolemize,[status(sab)],[565])).
% 40.89/26.51 tff(567,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[566, 562])).
% 40.89/26.51 tff(568,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(569,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(570,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1)),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[569, 568])).
% 40.89/26.51 tff(571,plain,
% 40.89/26.51 (v113(constB1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[570, 567, 560])).
% 40.89/26.51 tff(572,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(573,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[572])).
% 40.89/26.51 tff(574,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(575,plain,
% 40.89/26.51 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(576,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[575])).
% 40.89/26.51 tff(577,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 40.89/26.51 tff(578,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[577, 576])).
% 40.89/26.51 tff(579,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[578, 574])).
% 40.89/26.51 tff(580,plain,(
% 40.89/26.51 ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 40.89/26.51 inference(skolemize,[status(sab)],[579])).
% 40.89/26.51 tff(581,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[580, 573])).
% 40.89/26.51 tff(582,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(583,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(584,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[583, 582])).
% 40.89/26.51 tff(585,plain,
% 40.89/26.51 (v26(constB1) | v112(constB1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[584, 581, 571])).
% 40.89/26.51 tff(586,plain,
% 40.89/26.51 (v112(constB1)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[585, 375])).
% 40.89/26.51 tff(587,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(588,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[587])).
% 40.89/26.51 tff(589,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(590,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_3')).
% 40.89/26.51 tff(591,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[590, 589])).
% 40.89/26.51 tff(592,plain,(
% 40.89/26.51 ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.89/26.51 inference(skolemize,[status(sab)],[591])).
% 40.89/26.51 tff(593,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[592, 588])).
% 40.89/26.51 tff(594,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB1)) | v130(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB1)) | v130(constB1, bitIndex2))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(595,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB1)) | v130(constB1, bitIndex2))),
% 40.89/26.51 inference(quant_inst,[status(thm)],[])).
% 40.89/26.51 tff(596,plain,
% 40.89/26.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB1)) | v130(constB1, bitIndex2)),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[595, 594])).
% 40.89/26.51 tff(597,plain,
% 40.89/26.51 (v130(constB1, bitIndex2)),
% 40.89/26.51 inference(unit_resolution,[status(thm)],[596, 593, 493])).
% 40.89/26.51 tff(598,plain,
% 40.89/26.51 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(599,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[598])).
% 40.89/26.51 tff(600,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 40.89/26.51 inference(rewrite,[status(thm)],[])).
% 40.89/26.51 tff(601,plain,
% 40.89/26.51 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 40.89/26.51 inference(bind,[status(th)],[])).
% 40.89/26.51 tff(602,plain,
% 40.89/26.51 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 40.89/26.51 inference(quant_intro,[status(thm)],[601])).
% 40.89/26.51 tff(603,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex2))) | v127(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 40.89/26.51 tff(604,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[603, 602])).
% 40.89/26.51 tff(605,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[604, 600])).
% 40.89/26.51 tff(606,plain,(
% 40.89/26.51 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 40.89/26.51 inference(skolemize,[status(sab)],[605])).
% 40.89/26.51 tff(607,plain,
% 40.89/26.51 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 40.89/26.51 inference(modus_ponens,[status(thm)],[606, 599])).
% 40.89/26.51 tff(608,plain,
% 40.89/26.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(609,plain,
% 40.89/26.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))),
% 40.89/26.52 inference(quant_inst,[status(thm)],[])).
% 40.89/26.52 tff(610,plain,
% 40.89/26.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2)),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[609, 608])).
% 40.89/26.52 tff(611,plain,
% 40.89/26.52 (v26(constB1) | v127(constB1, bitIndex2)),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[610, 607, 597])).
% 40.89/26.52 tff(612,plain,
% 40.89/26.52 (v127(constB1, bitIndex2)),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[611, 375])).
% 40.89/26.52 tff(613,plain,
% 40.89/26.52 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(614,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 40.89/26.52 tff(615,plain,
% 40.89/26.52 (nextState(constB1, constB2)),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[614, 613])).
% 40.89/26.52 tff(616,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(617,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[616])).
% 40.89/26.52 tff(618,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(619,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(620,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[619])).
% 40.89/26.52 tff(621,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2))) | v129(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 40.89/26.52 tff(622,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[621, 620])).
% 40.89/26.52 tff(623,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[622, 618])).
% 40.89/26.52 tff(624,plain,(
% 40.89/26.52 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 40.89/26.52 inference(skolemize,[status(sab)],[623])).
% 40.89/26.52 tff(625,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[624, 617])).
% 40.89/26.52 tff(626,plain,
% 40.89/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(627,plain,
% 40.89/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))),
% 40.89/26.52 inference(quant_inst,[status(thm)],[])).
% 40.89/26.52 tff(628,plain,
% 40.89/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2)),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[627, 626])).
% 40.89/26.52 tff(629,plain,
% 40.89/26.52 ((~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2)),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[628, 625, 615])).
% 40.89/26.52 tff(630,plain,
% 40.89/26.52 (v129(constB2, bitIndex2)),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[629, 612])).
% 40.89/26.52 tff(631,assumption,(~v90(constB2, bitIndex2)), introduced(assumption)).
% 40.89/26.52 tff(632,plain,
% 40.89/26.52 (^[VarNext: state_type] : refl((v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(633,plain,
% 40.89/26.52 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[632])).
% 40.89/26.52 tff(634,plain,
% 40.89/26.52 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(635,plain,
% 40.89/26.52 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, bitIndex2))) | v90(VarNext, bitIndex2)) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(636,plain,
% 40.89/26.52 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex2))) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[635])).
% 40.89/26.52 tff(637,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex2))) | v90(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_5')).
% 40.89/26.52 tff(638,plain,
% 40.89/26.52 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[637, 636])).
% 40.89/26.52 tff(639,plain,
% 40.89/26.52 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[638, 634])).
% 40.89/26.52 tff(640,plain,(
% 40.89/26.52 ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 40.89/26.52 inference(skolemize,[status(sab)],[639])).
% 40.89/26.52 tff(641,plain,
% 40.89/26.52 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[640, 633])).
% 40.89/26.52 tff(642,plain,
% 40.89/26.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(643,plain,
% 40.89/26.52 ((v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2))) <=> (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(644,plain,
% 40.89/26.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2))))),
% 40.89/26.52 inference(monotonicity,[status(thm)],[643])).
% 40.89/26.52 tff(645,plain,
% 40.89/26.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 40.89/26.52 inference(transitivity,[status(thm)],[644, 642])).
% 40.89/26.52 tff(646,plain,
% 40.89/26.52 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))),
% 40.89/26.52 inference(quant_inst,[status(thm)],[])).
% 40.89/26.52 tff(647,plain,
% 40.89/26.52 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[646, 645])).
% 40.89/26.52 tff(648,plain,
% 40.89/26.52 ((~v129(constB2, bitIndex2)) | (~v100(constB2))),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[647, 641, 631])).
% 40.89/26.52 tff(649,plain,
% 40.89/26.52 (~v100(constB2)),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[648, 630])).
% 40.89/26.52 tff(650,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(651,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[650])).
% 40.89/26.52 tff(652,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(653,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(654,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[653])).
% 40.89/26.52 tff(655,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 40.89/26.52 tff(656,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[655, 654])).
% 40.89/26.52 tff(657,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[656, 652])).
% 40.89/26.52 tff(658,plain,(
% 40.89/26.52 ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 40.89/26.52 inference(skolemize,[status(sab)],[657])).
% 40.89/26.52 tff(659,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[658, 651])).
% 40.89/26.52 tff(660,plain,
% 40.89/26.52 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(661,plain,
% 40.89/26.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 40.89/26.52 inference(quant_inst,[status(thm)],[])).
% 40.89/26.52 tff(662,plain,
% 40.89/26.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[661, 660])).
% 40.89/26.52 tff(663,plain,
% 40.89/26.52 (~v104(constB2)),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[662, 659, 615, 378])).
% 40.89/26.52 tff(664,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(665,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[664])).
% 40.89/26.52 tff(666,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(667,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v102(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(668,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[667])).
% 40.89/26.52 tff(669,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 40.89/26.52 tff(670,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[669, 668])).
% 40.89/26.52 tff(671,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[670, 666])).
% 40.89/26.52 tff(672,plain,(
% 40.89/26.52 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 40.89/26.52 inference(skolemize,[status(sab)],[671])).
% 40.89/26.52 tff(673,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[672, 665])).
% 40.89/26.52 tff(674,plain,
% 40.89/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(675,plain,
% 40.89/26.52 (((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)) <=> ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(676,plain,
% 40.89/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2)))),
% 40.89/26.52 inference(monotonicity,[status(thm)],[675])).
% 40.89/26.52 tff(677,plain,
% 40.89/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 40.89/26.52 inference(transitivity,[status(thm)],[676, 674])).
% 40.89/26.52 tff(678,plain,
% 40.89/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 40.89/26.52 inference(quant_inst,[status(thm)],[])).
% 40.89/26.52 tff(679,plain,
% 40.89/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2)),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[678, 677])).
% 40.89/26.52 tff(680,plain,
% 40.89/26.52 (v104(constB2) | v102(constB2)),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[679, 673, 615])).
% 40.89/26.52 tff(681,plain,
% 40.89/26.52 (v102(constB2)),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[680, 663])).
% 40.89/26.52 tff(682,plain,
% 40.89/26.52 (v1(constB2) <=> v1(constB2)),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(683,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 40.89/26.52 tff(684,plain,
% 40.89/26.52 (v1(constB2)),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[683, 682])).
% 40.89/26.52 tff(685,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(686,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[685])).
% 40.89/26.52 tff(687,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(688,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(689,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[688])).
% 40.89/26.52 tff(690,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 40.89/26.52 tff(691,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[690, 689])).
% 40.89/26.52 tff(692,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[691, 687])).
% 40.89/26.52 tff(693,plain,(
% 40.89/26.52 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 40.89/26.52 inference(skolemize,[status(sab)],[692])).
% 40.89/26.52 tff(694,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[693, 686])).
% 40.89/26.52 tff(695,plain,
% 40.89/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(696,plain,
% 40.89/26.52 (((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))) <=> ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(697,plain,
% 40.89/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2))))),
% 40.89/26.52 inference(monotonicity,[status(thm)],[696])).
% 40.89/26.52 tff(698,plain,
% 40.89/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 40.89/26.52 inference(transitivity,[status(thm)],[697, 695])).
% 40.89/26.52 tff(699,plain,
% 40.89/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 40.89/26.52 inference(quant_inst,[status(thm)],[])).
% 40.89/26.52 tff(700,plain,
% 40.89/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2))),
% 40.89/26.52 inference(modus_ponens,[status(thm)],[699, 698])).
% 40.89/26.52 tff(701,plain,
% 40.89/26.52 (v101(constB2) | (~v102(constB2))),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[700, 694, 615, 684])).
% 40.89/26.52 tff(702,plain,
% 40.89/26.52 (v101(constB2)),
% 40.89/26.52 inference(unit_resolution,[status(thm)],[701, 681])).
% 40.89/26.52 tff(703,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(704,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 40.89/26.52 inference(quant_intro,[status(thm)],[703])).
% 40.89/26.52 tff(705,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 40.89/26.52 inference(rewrite,[status(thm)],[])).
% 40.89/26.52 tff(706,plain,
% 40.89/26.52 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 40.89/26.52 inference(bind,[status(th)],[])).
% 40.89/26.52 tff(707,plain,
% 40.89/26.52 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 40.93/26.52 inference(quant_intro,[status(thm)],[706])).
% 40.93/26.52 tff(708,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 40.93/26.52 tff(709,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[708, 707])).
% 40.93/26.52 tff(710,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[709, 705])).
% 40.93/26.52 tff(711,plain,(
% 40.93/26.52 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 40.93/26.52 inference(skolemize,[status(sab)],[710])).
% 40.93/26.52 tff(712,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[711, 704])).
% 40.93/26.52 tff(713,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(714,plain,
% 40.93/26.52 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(715,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 40.93/26.52 inference(monotonicity,[status(thm)],[714])).
% 40.93/26.52 tff(716,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 40.93/26.52 inference(transitivity,[status(thm)],[715, 713])).
% 40.93/26.52 tff(717,plain,
% 40.93/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 40.93/26.52 inference(quant_inst,[status(thm)],[])).
% 40.93/26.52 tff(718,plain,
% 40.93/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[717, 716])).
% 40.93/26.52 tff(719,plain,
% 40.93/26.52 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[718, 712, 615])).
% 40.93/26.52 tff(720,plain,
% 40.93/26.52 (v100(constB2) | (~v110(constB2))),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[719, 702])).
% 40.93/26.52 tff(721,plain,
% 40.93/26.52 (~v110(constB2)),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[720, 649])).
% 40.93/26.52 tff(722,plain,
% 40.93/26.52 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 40.93/26.52 inference(bind,[status(th)],[])).
% 40.93/26.52 tff(723,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 40.93/26.52 inference(quant_intro,[status(thm)],[722])).
% 40.93/26.52 tff(724,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(725,plain,
% 40.93/26.52 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))))),
% 40.93/26.52 inference(bind,[status(th)],[])).
% 40.93/26.52 tff(726,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 40.93/26.52 inference(quant_intro,[status(thm)],[725])).
% 40.93/26.52 tff(727,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 40.93/26.52 tff(728,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[727, 726])).
% 40.93/26.52 tff(729,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[728, 724])).
% 40.93/26.52 tff(730,plain,(
% 40.93/26.52 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 40.93/26.52 inference(skolemize,[status(sab)],[729])).
% 40.93/26.52 tff(731,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[730, 723])).
% 40.93/26.52 tff(732,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(733,plain,
% 40.93/26.52 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(734,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 40.93/26.52 inference(monotonicity,[status(thm)],[733])).
% 40.93/26.52 tff(735,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 40.93/26.52 inference(transitivity,[status(thm)],[734, 732])).
% 40.93/26.52 tff(736,plain,
% 40.93/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 40.93/26.52 inference(quant_inst,[status(thm)],[])).
% 40.93/26.52 tff(737,plain,
% 40.93/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[736, 735])).
% 40.93/26.52 tff(738,plain,
% 40.93/26.52 (v110(constB2) | (~v108(constB1))),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[737, 731, 615])).
% 40.93/26.52 tff(739,plain,
% 40.93/26.52 (~v108(constB1)),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[738, 721])).
% 40.93/26.52 tff(740,plain,
% 40.93/26.52 (^[VarCurr: state_type] : refl(((~v112(VarCurr)) | v108(VarCurr)) <=> ((~v112(VarCurr)) | v108(VarCurr)))),
% 40.93/26.52 inference(bind,[status(th)],[])).
% 40.93/26.52 tff(741,plain,
% 40.93/26.52 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 40.93/26.52 inference(quant_intro,[status(thm)],[740])).
% 40.93/26.52 tff(742,plain,
% 40.93/26.52 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(743,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 40.93/26.52 tff(744,plain,
% 40.93/26.52 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[743, 742])).
% 40.93/26.52 tff(745,plain,(
% 40.93/26.52 ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 40.93/26.52 inference(skolemize,[status(sab)],[744])).
% 40.93/26.52 tff(746,plain,
% 40.93/26.52 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[745, 741])).
% 40.93/26.52 tff(747,plain,
% 40.93/26.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(748,plain,
% 40.93/26.52 (((~v112(constB1)) | v108(constB1)) <=> (v108(constB1) | (~v112(constB1)))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(749,plain,
% 40.93/26.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1))))),
% 40.93/26.52 inference(monotonicity,[status(thm)],[748])).
% 40.93/26.52 tff(750,plain,
% 40.93/26.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 40.93/26.52 inference(transitivity,[status(thm)],[749, 747])).
% 40.93/26.52 tff(751,plain,
% 40.93/26.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))),
% 40.93/26.52 inference(quant_inst,[status(thm)],[])).
% 40.93/26.52 tff(752,plain,
% 40.93/26.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[751, 750])).
% 40.93/26.52 tff(753,plain,
% 40.93/26.52 ($false),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[752, 746, 739, 586])).
% 40.93/26.52 tff(754,plain,(v26(constB1) | v90(constB2, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 40.93/26.52 tff(755,plain,
% 40.93/26.52 (v90(constB2, bitIndex2)),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[754, 374])).
% 40.93/26.52 tff(756,plain,
% 40.93/26.52 ((~v1(constB3)) <=> (~v1(constB3))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(757,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 40.93/26.52 tff(758,plain,
% 40.93/26.52 (~v1(constB3)),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[757, 756])).
% 40.93/26.52 tff(759,plain,
% 40.93/26.52 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(760,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 40.93/26.52 tff(761,plain,
% 40.93/26.52 (nextState(constB2, constB3)),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[760, 759])).
% 40.93/26.52 tff(762,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(763,plain,
% 40.93/26.52 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(764,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 40.93/26.52 inference(monotonicity,[status(thm)],[763])).
% 40.93/26.52 tff(765,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 40.93/26.52 inference(transitivity,[status(thm)],[764, 762])).
% 40.93/26.52 tff(766,plain,
% 40.93/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 40.93/26.52 inference(quant_inst,[status(thm)],[])).
% 40.93/26.52 tff(767,plain,
% 40.93/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[766, 765])).
% 40.93/26.52 tff(768,plain,
% 40.93/26.52 (~v101(constB3)),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[767, 391, 761, 758])).
% 40.93/26.52 tff(769,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(770,plain,
% 40.93/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 40.93/26.52 inference(quant_inst,[status(thm)],[])).
% 40.93/26.52 tff(771,plain,
% 40.93/26.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[770, 769])).
% 40.93/26.52 tff(772,plain,
% 40.93/26.52 (v101(constB3) | (~v100(constB3))),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[771, 408, 761])).
% 40.93/26.52 tff(773,plain,
% 40.93/26.52 (~v100(constB3)),
% 40.93/26.52 inference(unit_resolution,[status(thm)],[772, 768])).
% 40.93/26.52 tff(774,plain,
% 40.93/26.52 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))),
% 40.93/26.52 inference(bind,[status(th)],[])).
% 40.93/26.52 tff(775,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 40.93/26.52 inference(quant_intro,[status(thm)],[774])).
% 40.93/26.52 tff(776,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(777,plain,
% 40.93/26.52 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext)) | v90(VarNext, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext)) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))))),
% 40.93/26.52 inference(bind,[status(th)],[])).
% 40.93/26.52 tff(778,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 40.93/26.52 inference(quant_intro,[status(thm)],[777])).
% 40.93/26.52 tff(779,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_5')).
% 40.93/26.52 tff(780,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[779, 778])).
% 40.93/26.52 tff(781,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[780, 776])).
% 40.93/26.52 tff(782,plain,(
% 40.93/26.52 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 40.93/26.52 inference(skolemize,[status(sab)],[781])).
% 40.93/26.52 tff(783,plain,
% 40.93/26.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 40.93/26.52 inference(modus_ponens,[status(thm)],[782, 775])).
% 40.93/26.52 tff(784,plain,
% 40.93/26.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 40.93/26.52 inference(rewrite,[status(thm)],[])).
% 40.93/26.52 tff(785,plain,
% 40.93/26.52 (((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2)) <=> ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(786,plain,
% 40.93/26.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2)))),
% 40.93/26.53 inference(monotonicity,[status(thm)],[785])).
% 40.93/26.53 tff(787,plain,
% 40.93/26.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 40.93/26.53 inference(transitivity,[status(thm)],[786, 784])).
% 40.93/26.53 tff(788,plain,
% 40.93/26.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(789,plain,
% 40.93/26.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2)),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[788, 787])).
% 40.93/26.53 tff(790,plain,
% 40.93/26.53 ((~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[789, 783, 761])).
% 40.93/26.53 tff(791,plain,
% 40.93/26.53 ((~v90(constB2, bitIndex2)) | v90(constB3, bitIndex2)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[790, 773])).
% 40.93/26.53 tff(792,plain,
% 40.93/26.53 (v90(constB3, bitIndex2)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[791, 755])).
% 40.93/26.53 tff(793,plain,
% 40.93/26.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex2)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(794,plain,
% 40.93/26.53 (((~nextState(constB1, constB2)) | v90(constB1, bitIndex2) | v100(constB2) | (~v90(constB2, bitIndex2))) <=> (v90(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex2)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(795,plain,
% 40.93/26.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v90(constB1, bitIndex2) | v100(constB2) | (~v90(constB2, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex2))))),
% 40.93/26.53 inference(monotonicity,[status(thm)],[794])).
% 40.93/26.53 tff(796,plain,
% 40.93/26.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v90(constB1, bitIndex2) | v100(constB2) | (~v90(constB2, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex2)))),
% 40.93/26.53 inference(transitivity,[status(thm)],[795, 793])).
% 40.93/26.53 tff(797,plain,
% 40.93/26.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v90(constB1, bitIndex2) | v100(constB2) | (~v90(constB2, bitIndex2)))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(798,plain,
% 40.93/26.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB1, bitIndex2) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex2))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[797, 796])).
% 40.93/26.53 tff(799,plain,
% 40.93/26.53 (v90(constB1, bitIndex2) | v100(constB2) | (~v90(constB2, bitIndex2))),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[798, 423, 615])).
% 40.93/26.53 tff(800,plain,
% 40.93/26.53 (v100(constB2) | (~v90(constB2, bitIndex2))),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[799, 434])).
% 40.93/26.53 tff(801,plain,
% 40.93/26.53 (v100(constB2)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[800, 755])).
% 40.93/26.53 tff(802,assumption,(v127(constB1, bitIndex1)), introduced(assumption)).
% 40.93/26.53 tff(803,plain,
% 40.93/26.53 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(804,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[803])).
% 40.93/26.53 tff(805,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(806,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_2')).
% 40.93/26.53 tff(807,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[806, 805])).
% 40.93/26.53 tff(808,plain,(
% 40.93/26.53 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(skolemize,[status(sab)],[807])).
% 40.93/26.53 tff(809,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[808, 804])).
% 40.93/26.53 tff(810,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(811,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(812,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[811, 810])).
% 40.93/26.53 tff(813,plain,
% 40.93/26.53 (~v130(constB1, bitIndex1)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[812, 809, 493])).
% 40.93/26.53 tff(814,plain,
% 40.93/26.53 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(815,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[814])).
% 40.93/26.53 tff(816,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(817,plain,
% 40.93/26.53 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, bitIndex1))) | v130(VarCurr, bitIndex1)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(818,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex1))) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[817])).
% 40.93/26.53 tff(819,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex1))) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 40.93/26.53 tff(820,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[819, 818])).
% 40.93/26.53 tff(821,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[820, 816])).
% 40.93/26.53 tff(822,plain,(
% 40.93/26.53 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(skolemize,[status(sab)],[821])).
% 40.93/26.53 tff(823,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[822, 815])).
% 40.93/26.53 tff(824,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(825,plain,
% 40.93/26.53 ((v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1))) <=> ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(826,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)))),
% 40.93/26.53 inference(monotonicity,[status(thm)],[825])).
% 40.93/26.53 tff(827,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 40.93/26.53 inference(transitivity,[status(thm)],[826, 824])).
% 40.93/26.53 tff(828,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(829,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[828, 827])).
% 40.93/26.53 tff(830,plain,
% 40.93/26.53 ((~v127(constB1, bitIndex1)) | v26(constB1)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[829, 823, 813])).
% 40.93/26.53 tff(831,plain,
% 40.93/26.53 (v26(constB1)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[830, 802])).
% 40.93/26.53 tff(832,plain,
% 40.93/26.53 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(833,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[832])).
% 40.93/26.53 tff(834,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(835,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 40.93/26.53 tff(836,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[835, 834])).
% 40.93/26.53 tff(837,plain,(
% 40.93/26.53 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(skolemize,[status(sab)],[836])).
% 40.93/26.53 tff(838,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[837, 833])).
% 40.93/26.53 tff(839,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB1)) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB1)) | (~v127(constB1, bitIndex1)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(840,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB1)) | (~v127(constB1, bitIndex1)))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(841,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB1)) | (~v127(constB1, bitIndex1))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[840, 839])).
% 40.93/26.53 tff(842,plain,
% 40.93/26.53 ($false),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[841, 838, 802, 831])).
% 40.93/26.53 tff(843,plain,(~v127(constB1, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 40.93/26.53 tff(844,plain,
% 40.93/26.53 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(845,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[844])).
% 40.93/26.53 tff(846,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(847,plain,
% 40.93/26.53 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(848,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[847])).
% 40.93/26.53 tff(849,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex1))) | v127(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 40.93/26.53 tff(850,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[849, 848])).
% 40.93/26.53 tff(851,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[850, 846])).
% 40.93/26.53 tff(852,plain,(
% 40.93/26.53 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 40.93/26.53 inference(skolemize,[status(sab)],[851])).
% 40.93/26.53 tff(853,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[852, 845])).
% 40.93/26.53 tff(854,plain,
% 40.93/26.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(855,plain,
% 40.93/26.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(856,plain,
% 40.93/26.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[855, 854])).
% 40.93/26.53 tff(857,plain,
% 40.93/26.53 (v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[856, 853, 615])).
% 40.93/26.53 tff(858,plain,
% 40.93/26.53 (~v129(constB2, bitIndex1)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[857, 843])).
% 40.93/26.53 tff(859,plain,
% 40.93/26.53 (^[VarNext: state_type] : refl(((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(860,plain,
% 40.93/26.53 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[859])).
% 40.93/26.53 tff(861,plain,
% 40.93/26.53 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(862,plain,
% 40.93/26.53 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(863,plain,
% 40.93/26.53 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[862])).
% 40.93/26.53 tff(864,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v129(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_4')).
% 40.93/26.53 tff(865,plain,
% 40.93/26.53 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[864, 863])).
% 40.93/26.53 tff(866,plain,
% 40.93/26.53 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[865, 861])).
% 40.93/26.53 tff(867,plain,(
% 40.93/26.53 ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 40.93/26.53 inference(skolemize,[status(sab)],[866])).
% 40.93/26.53 tff(868,plain,
% 40.93/26.53 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[867, 860])).
% 40.93/26.53 tff(869,plain,
% 40.93/26.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(870,plain,
% 40.93/26.53 (((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1)) <=> ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(871,plain,
% 40.93/26.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))))),
% 40.93/26.53 inference(monotonicity,[status(thm)],[870])).
% 40.93/26.53 tff(872,plain,
% 40.93/26.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 40.93/26.53 inference(transitivity,[status(thm)],[871, 869])).
% 40.93/26.53 tff(873,plain,
% 40.93/26.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(874,plain,
% 40.93/26.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[873, 872])).
% 40.93/26.53 tff(875,plain,
% 40.93/26.53 ((~v90(constB2, bitIndex1)) | (~v100(constB2))),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[874, 868, 858])).
% 40.93/26.53 tff(876,plain,
% 40.93/26.53 (~v90(constB2, bitIndex1)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[875, 801])).
% 40.93/26.53 tff(877,plain,
% 40.93/26.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(878,plain,
% 40.93/26.53 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))) <=> (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(879,plain,
% 40.93/26.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))))),
% 40.93/26.53 inference(monotonicity,[status(thm)],[878])).
% 40.93/26.53 tff(880,plain,
% 40.93/26.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 40.93/26.53 inference(transitivity,[status(thm)],[879, 877])).
% 40.93/26.53 tff(881,plain,
% 40.93/26.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(882,plain,
% 40.93/26.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[881, 880])).
% 40.93/26.53 tff(883,plain,
% 40.93/26.53 (v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[882, 444, 761])).
% 40.93/26.53 tff(884,plain,
% 40.93/26.53 (v90(constB2, bitIndex1) | (~v90(constB3, bitIndex1))),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[883, 773])).
% 40.93/26.53 tff(885,plain,
% 40.93/26.53 (~v90(constB3, bitIndex1)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[884, 876])).
% 40.93/26.53 tff(886,assumption,(v127(constB1, bitIndex0)), introduced(assumption)).
% 40.93/26.53 tff(887,plain,
% 40.93/26.53 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(888,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[887])).
% 40.93/26.53 tff(889,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(890,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1')).
% 40.93/26.53 tff(891,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[890, 889])).
% 40.93/26.53 tff(892,plain,(
% 40.93/26.53 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(skolemize,[status(sab)],[891])).
% 40.93/26.53 tff(893,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[892, 888])).
% 40.93/26.53 tff(894,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB1)) | (~v130(constB1, bitIndex0)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(895,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex0)))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(896,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB1)) | (~v130(constB1, bitIndex0))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[895, 894])).
% 40.93/26.53 tff(897,plain,
% 40.93/26.53 (~v130(constB1, bitIndex0)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[896, 893, 493])).
% 40.93/26.53 tff(898,plain,
% 40.93/26.53 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(899,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[898])).
% 40.93/26.53 tff(900,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(901,plain,
% 40.93/26.53 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, bitIndex0))) | v130(VarCurr, bitIndex0)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(902,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex0))) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[901])).
% 40.93/26.53 tff(903,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex0))) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 40.93/26.53 tff(904,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[903, 902])).
% 40.93/26.53 tff(905,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[904, 900])).
% 40.93/26.53 tff(906,plain,(
% 40.93/26.53 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(skolemize,[status(sab)],[905])).
% 40.93/26.53 tff(907,plain,
% 40.93/26.53 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[906, 899])).
% 40.93/26.53 tff(908,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(909,plain,
% 40.93/26.53 ((v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0))) <=> ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(910,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0)))),
% 40.93/26.53 inference(monotonicity,[status(thm)],[909])).
% 40.93/26.53 tff(911,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 40.93/26.53 inference(transitivity,[status(thm)],[910, 908])).
% 40.93/26.53 tff(912,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(913,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0)),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[912, 911])).
% 40.93/26.53 tff(914,plain,
% 40.93/26.53 ((~v127(constB1, bitIndex0)) | v26(constB1)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[913, 907, 897])).
% 40.93/26.53 tff(915,plain,
% 40.93/26.53 (v26(constB1)),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[914, 886])).
% 40.93/26.53 tff(916,plain,
% 40.93/26.53 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(917,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[916])).
% 40.93/26.53 tff(918,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(919,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 40.93/26.53 tff(920,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[919, 918])).
% 40.93/26.53 tff(921,plain,(
% 40.93/26.53 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(skolemize,[status(sab)],[920])).
% 40.93/26.53 tff(922,plain,
% 40.93/26.53 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[921, 917])).
% 40.93/26.53 tff(923,plain,
% 40.93/26.53 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB1)) | (~v127(constB1, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB1)) | (~v127(constB1, bitIndex0)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(924,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB1)) | (~v127(constB1, bitIndex0)))),
% 40.93/26.53 inference(quant_inst,[status(thm)],[])).
% 40.93/26.53 tff(925,plain,
% 40.93/26.53 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB1)) | (~v127(constB1, bitIndex0))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[924, 923])).
% 40.93/26.53 tff(926,plain,
% 40.93/26.53 ($false),
% 40.93/26.53 inference(unit_resolution,[status(thm)],[925, 922, 886, 915])).
% 40.93/26.53 tff(927,plain,(~v127(constB1, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 40.93/26.53 tff(928,plain,
% 40.93/26.53 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(929,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[928])).
% 40.93/26.53 tff(930,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 40.93/26.53 inference(rewrite,[status(thm)],[])).
% 40.93/26.53 tff(931,plain,
% 40.93/26.53 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 40.93/26.53 inference(bind,[status(th)],[])).
% 40.93/26.53 tff(932,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 40.93/26.53 inference(quant_intro,[status(thm)],[931])).
% 40.93/26.53 tff(933,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex0))) | v127(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 40.93/26.53 tff(934,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 40.93/26.53 inference(modus_ponens,[status(thm)],[933, 932])).
% 40.93/26.53 tff(935,plain,
% 40.93/26.53 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[934, 930])).
% 40.94/26.54 tff(936,plain,(
% 40.94/26.54 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.54 inference(skolemize,[status(sab)],[935])).
% 40.94/26.54 tff(937,plain,
% 40.94/26.54 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[936, 929])).
% 40.94/26.54 tff(938,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(939,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(940,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[939, 938])).
% 40.94/26.54 tff(941,plain,
% 40.94/26.54 (v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0))),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[940, 937, 615])).
% 40.94/26.54 tff(942,plain,
% 40.94/26.54 (~v129(constB2, bitIndex0)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[941, 927])).
% 40.94/26.54 tff(943,plain,
% 40.94/26.54 (^[VarNext: state_type] : refl(((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 40.94/26.54 inference(bind,[status(th)],[])).
% 40.94/26.54 tff(944,plain,
% 40.94/26.54 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 40.94/26.54 inference(quant_intro,[status(thm)],[943])).
% 40.94/26.54 tff(945,plain,
% 40.94/26.54 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(946,plain,
% 40.94/26.54 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 40.94/26.54 inference(bind,[status(th)],[])).
% 40.94/26.54 tff(947,plain,
% 40.94/26.54 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 40.94/26.54 inference(quant_intro,[status(thm)],[946])).
% 40.94/26.54 tff(948,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v129(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_2')).
% 40.94/26.54 tff(949,plain,
% 40.94/26.54 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[948, 947])).
% 40.94/26.54 tff(950,plain,
% 40.94/26.54 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[949, 945])).
% 40.94/26.54 tff(951,plain,(
% 40.94/26.54 ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 40.94/26.54 inference(skolemize,[status(sab)],[950])).
% 40.94/26.54 tff(952,plain,
% 40.94/26.54 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[951, 944])).
% 40.94/26.54 tff(953,plain,
% 40.94/26.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(954,plain,
% 40.94/26.54 (((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0)) <=> ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(955,plain,
% 40.94/26.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2))))),
% 40.94/26.54 inference(monotonicity,[status(thm)],[954])).
% 40.94/26.54 tff(956,plain,
% 40.94/26.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 40.94/26.54 inference(transitivity,[status(thm)],[955, 953])).
% 40.94/26.54 tff(957,plain,
% 40.94/26.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(958,plain,
% 40.94/26.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[957, 956])).
% 40.94/26.54 tff(959,plain,
% 40.94/26.54 ((~v90(constB2, bitIndex0)) | (~v100(constB2))),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[958, 952, 942])).
% 40.94/26.54 tff(960,plain,
% 40.94/26.54 (~v90(constB2, bitIndex0)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[959, 801])).
% 40.94/26.54 tff(961,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(962,plain,
% 40.94/26.54 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0))) <=> (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(963,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0))))),
% 40.94/26.54 inference(monotonicity,[status(thm)],[962])).
% 40.94/26.54 tff(964,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 40.94/26.54 inference(transitivity,[status(thm)],[963, 961])).
% 40.94/26.54 tff(965,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(966,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[965, 964])).
% 40.94/26.54 tff(967,plain,
% 40.94/26.54 (v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0))),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[966, 465, 761])).
% 40.94/26.54 tff(968,plain,
% 40.94/26.54 (v90(constB2, bitIndex0) | (~v90(constB3, bitIndex0))),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[967, 773])).
% 40.94/26.54 tff(969,plain,
% 40.94/26.54 (~v90(constB3, bitIndex0)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[968, 960])).
% 40.94/26.54 tff(970,plain,
% 40.94/26.54 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)))),
% 40.94/26.54 inference(bind,[status(th)],[])).
% 40.94/26.54 tff(971,plain,
% 40.94/26.54 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 40.94/26.54 inference(quant_intro,[status(thm)],[970])).
% 40.94/26.54 tff(972,plain,
% 40.94/26.54 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(973,plain,
% 40.94/26.54 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))))),
% 40.94/26.54 inference(bind,[status(th)],[])).
% 40.94/26.54 tff(974,plain,
% 40.94/26.54 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 40.94/26.54 inference(quant_intro,[status(thm)],[973])).
% 40.94/26.54 tff(975,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 40.94/26.54 tff(976,plain,
% 40.94/26.54 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[975, 974])).
% 40.94/26.54 tff(977,plain,
% 40.94/26.54 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[976, 972])).
% 40.94/26.54 tff(978,plain,(
% 40.94/26.54 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 40.94/26.54 inference(skolemize,[status(sab)],[977])).
% 40.94/26.54 tff(979,plain,
% 40.94/26.54 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[978, 971])).
% 40.94/26.54 tff(980,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(981,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(982,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3)),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[981, 980])).
% 40.94/26.54 tff(983,plain,
% 40.94/26.54 (v123(constB3)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[982, 979, 969, 885, 792])).
% 40.94/26.54 tff(984,plain,
% 40.94/26.54 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v115(VarCurr)) <=> ((~v123(VarCurr)) | v115(VarCurr)))),
% 40.94/26.54 inference(bind,[status(th)],[])).
% 40.94/26.54 tff(985,plain,
% 40.94/26.54 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 40.94/26.54 inference(quant_intro,[status(thm)],[984])).
% 40.94/26.54 tff(986,plain,
% 40.94/26.54 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(987,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 40.94/26.54 tff(988,plain,
% 40.94/26.54 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[987, 986])).
% 40.94/26.54 tff(989,plain,(
% 40.94/26.54 ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 40.94/26.54 inference(skolemize,[status(sab)],[988])).
% 40.94/26.54 tff(990,plain,
% 40.94/26.54 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[989, 985])).
% 40.94/26.54 tff(991,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB3)) | v115(constB3))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(992,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB3)) | v115(constB3))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(993,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB3)) | v115(constB3)),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[992, 991])).
% 40.94/26.54 tff(994,plain,
% 40.94/26.54 (v115(constB3)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[993, 990, 983])).
% 40.94/26.54 tff(995,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(996,plain,
% 40.94/26.54 (((~v115(constB3)) | v114(constB3)) <=> (v114(constB3) | (~v115(constB3)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(997,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3))))),
% 40.94/26.54 inference(monotonicity,[status(thm)],[996])).
% 40.94/26.54 tff(998,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 40.94/26.54 inference(transitivity,[status(thm)],[997, 995])).
% 40.94/26.54 tff(999,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1000,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[999, 998])).
% 40.94/26.54 tff(1001,plain,
% 40.94/26.54 (v114(constB3)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1000, 553, 994])).
% 40.94/26.54 tff(1002,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1003,plain,
% 40.94/26.54 (((~v114(constB3)) | v113(constB3)) <=> (v113(constB3) | (~v114(constB3)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1004,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3))))),
% 40.94/26.54 inference(monotonicity,[status(thm)],[1003])).
% 40.94/26.54 tff(1005,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 40.94/26.54 inference(transitivity,[status(thm)],[1004, 1002])).
% 40.94/26.54 tff(1006,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1007,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 40.94/26.54 tff(1008,plain,
% 40.94/26.54 (v113(constB3)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1007, 567, 1001])).
% 40.94/26.54 tff(1009,assumption,(v26(constB3)), introduced(assumption)).
% 40.94/26.54 tff(1010,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1011,plain,
% 40.94/26.54 ($false),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1010, 95, 1009])).
% 40.94/26.54 tff(1012,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 40.94/26.54 tff(1013,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1014,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1015,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3)),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 40.94/26.54 tff(1016,plain,
% 40.94/26.54 ((~v113(constB3)) | v112(constB3)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1015, 581, 1012])).
% 40.94/26.54 tff(1017,plain,
% 40.94/26.54 (v112(constB3)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1016, 1008])).
% 40.94/26.54 tff(1018,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1019,plain,
% 40.94/26.54 (((~v112(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v112(constB3)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1020,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3))))),
% 40.94/26.54 inference(monotonicity,[status(thm)],[1019])).
% 40.94/26.54 tff(1021,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 40.94/26.54 inference(transitivity,[status(thm)],[1020, 1018])).
% 40.94/26.54 tff(1022,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1023,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 40.94/26.54 tff(1024,plain,
% 40.94/26.54 (v108(constB3)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1023, 746, 1017])).
% 40.94/26.54 tff(1025,plain,
% 40.94/26.54 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1026,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 40.94/26.54 tff(1027,plain,
% 40.94/26.54 (nextState(constB3, constB4)),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1026, 1025])).
% 40.94/26.54 tff(1028,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1029,plain,
% 40.94/26.54 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1030,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 40.94/26.54 inference(monotonicity,[status(thm)],[1029])).
% 40.94/26.54 tff(1031,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 40.94/26.54 inference(transitivity,[status(thm)],[1030, 1028])).
% 40.94/26.54 tff(1032,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1033,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1032, 1031])).
% 40.94/26.54 tff(1034,plain,
% 40.94/26.54 (v110(constB4) | (~v108(constB3))),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1033, 731, 1027])).
% 40.94/26.54 tff(1035,plain,
% 40.94/26.54 (v110(constB4)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1034, 1024])).
% 40.94/26.54 tff(1036,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1037,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1038,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 40.94/26.54 tff(1039,plain,
% 40.94/26.54 (~v104(constB4)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1038, 659, 1027, 758])).
% 40.94/26.54 tff(1040,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1041,plain,
% 40.94/26.54 (((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)) <=> ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1042,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4)))),
% 40.94/26.54 inference(monotonicity,[status(thm)],[1041])).
% 40.94/26.54 tff(1043,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 40.94/26.54 inference(transitivity,[status(thm)],[1042, 1040])).
% 40.94/26.54 tff(1044,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1045,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4)),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 40.94/26.54 tff(1046,plain,
% 40.94/26.54 (v104(constB4) | v102(constB4)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1045, 673, 1027])).
% 40.94/26.54 tff(1047,plain,
% 40.94/26.54 (v102(constB4)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1046, 1039])).
% 40.94/26.54 tff(1048,plain,
% 40.94/26.54 (v1(constB4) <=> v1(constB4)),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1049,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 40.94/26.54 tff(1050,plain,
% 40.94/26.54 (v1(constB4)),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 40.94/26.54 tff(1051,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1052,plain,
% 40.94/26.54 (((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))) <=> ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1053,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4))))),
% 40.94/26.54 inference(monotonicity,[status(thm)],[1052])).
% 40.94/26.54 tff(1054,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 40.94/26.54 inference(transitivity,[status(thm)],[1053, 1051])).
% 40.94/26.54 tff(1055,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1056,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 40.94/26.54 tff(1057,plain,
% 40.94/26.54 (v101(constB4) | (~v102(constB4))),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1056, 694, 1027, 1050])).
% 40.94/26.54 tff(1058,plain,
% 40.94/26.54 (v101(constB4)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1057, 1047])).
% 40.94/26.54 tff(1059,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1060,plain,
% 40.94/26.54 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1061,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 40.94/26.54 inference(monotonicity,[status(thm)],[1060])).
% 40.94/26.54 tff(1062,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 40.94/26.54 inference(transitivity,[status(thm)],[1061, 1059])).
% 40.94/26.54 tff(1063,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1064,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1063, 1062])).
% 40.94/26.54 tff(1065,plain,
% 40.94/26.54 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1064, 712, 1027])).
% 40.94/26.54 tff(1066,plain,
% 40.94/26.54 (v100(constB4) | (~v110(constB4))),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1065, 1058])).
% 40.94/26.54 tff(1067,plain,
% 40.94/26.54 (v100(constB4)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1066, 1035])).
% 40.94/26.54 tff(1068,plain,
% 40.94/26.54 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 40.94/26.54 inference(bind,[status(th)],[])).
% 40.94/26.54 tff(1069,plain,
% 40.94/26.54 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.94/26.54 inference(quant_intro,[status(thm)],[1068])).
% 40.94/26.54 tff(1070,plain,
% 40.94/26.54 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1071,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 40.94/26.54 tff(1072,plain,
% 40.94/26.54 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 40.94/26.54 tff(1073,plain,(
% 40.94/26.54 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.94/26.54 inference(skolemize,[status(sab)],[1072])).
% 40.94/26.54 tff(1074,plain,
% 40.94/26.54 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1073, 1069])).
% 40.94/26.54 tff(1075,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB3)) | v130(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB3)) | v130(constB3, bitIndex2))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1076,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB3)) | v130(constB3, bitIndex2))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1077,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB3)) | v130(constB3, bitIndex2)),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1076, 1075])).
% 40.94/26.54 tff(1078,plain,
% 40.94/26.54 (v130(constB3, bitIndex2)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1077, 1074, 983])).
% 40.94/26.54 tff(1079,plain,
% 40.94/26.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1080,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))),
% 40.94/26.54 inference(quant_inst,[status(thm)],[])).
% 40.94/26.54 tff(1081,plain,
% 40.94/26.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2)),
% 40.94/26.54 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 40.94/26.54 tff(1082,plain,
% 40.94/26.54 ((~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1081, 607, 1012])).
% 40.94/26.54 tff(1083,plain,
% 40.94/26.54 (v127(constB3, bitIndex2)),
% 40.94/26.54 inference(unit_resolution,[status(thm)],[1082, 1078])).
% 40.94/26.54 tff(1084,plain,
% 40.94/26.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))),
% 40.94/26.54 inference(rewrite,[status(thm)],[])).
% 40.94/26.54 tff(1085,plain,
% 40.94/26.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1086,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2)),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 40.94/26.55 tff(1087,plain,
% 40.94/26.55 ((~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1086, 625, 1027])).
% 40.94/26.55 tff(1088,plain,
% 40.94/26.55 (v129(constB4, bitIndex2)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1087, 1083])).
% 40.94/26.55 tff(1089,plain,
% 40.94/26.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1090,plain,
% 40.94/26.55 ((v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2))) <=> (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1091,plain,
% 40.94/26.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4))))),
% 40.94/26.55 inference(monotonicity,[status(thm)],[1090])).
% 40.94/26.55 tff(1092,plain,
% 40.94/26.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 40.94/26.55 inference(transitivity,[status(thm)],[1091, 1089])).
% 40.94/26.55 tff(1093,plain,
% 40.94/26.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1094,plain,
% 40.94/26.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 40.94/26.55 tff(1095,plain,
% 40.94/26.55 (v90(constB4, bitIndex2) | (~v100(constB4))),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1094, 641, 1088])).
% 40.94/26.55 tff(1096,plain,
% 40.94/26.55 (v90(constB4, bitIndex2)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1095, 1067])).
% 40.94/26.55 tff(1097,plain,
% 40.94/26.55 ((~v1(constB5)) <=> (~v1(constB5))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1098,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 40.94/26.55 tff(1099,plain,
% 40.94/26.55 (~v1(constB5)),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 40.94/26.55 tff(1100,plain,
% 40.94/26.55 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1101,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 40.94/26.55 tff(1102,plain,
% 40.94/26.55 (nextState(constB4, constB5)),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1101, 1100])).
% 40.94/26.55 tff(1103,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1104,plain,
% 40.94/26.55 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1105,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 40.94/26.55 inference(monotonicity,[status(thm)],[1104])).
% 40.94/26.55 tff(1106,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 40.94/26.55 inference(transitivity,[status(thm)],[1105, 1103])).
% 40.94/26.55 tff(1107,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1108,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 40.94/26.55 tff(1109,plain,
% 40.94/26.55 (~v101(constB5)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1108, 391, 1102, 1099])).
% 40.94/26.55 tff(1110,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1111,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1112,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1111, 1110])).
% 40.94/26.55 tff(1113,plain,
% 40.94/26.55 (v101(constB5) | (~v100(constB5))),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1112, 408, 1102])).
% 40.94/26.55 tff(1114,plain,
% 40.94/26.55 (~v100(constB5)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1113, 1109])).
% 40.94/26.55 tff(1115,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1116,plain,
% 40.94/26.55 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2)) <=> ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1117,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2)))),
% 40.94/26.55 inference(monotonicity,[status(thm)],[1116])).
% 40.94/26.55 tff(1118,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 40.94/26.55 inference(transitivity,[status(thm)],[1117, 1115])).
% 40.94/26.55 tff(1119,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1120,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2)),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1119, 1118])).
% 40.94/26.55 tff(1121,plain,
% 40.94/26.55 ((~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1120, 783, 1102])).
% 40.94/26.55 tff(1122,plain,
% 40.94/26.55 ((~v90(constB4, bitIndex2)) | v90(constB5, bitIndex2)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1121, 1114])).
% 40.94/26.55 tff(1123,plain,
% 40.94/26.55 (v90(constB5, bitIndex2)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1122, 1096])).
% 40.94/26.55 tff(1124,plain,
% 40.94/26.55 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1125,plain,
% 40.94/26.55 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1124])).
% 40.94/26.55 tff(1126,plain,
% 40.94/26.55 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1127,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 40.94/26.55 tff(1128,plain,
% 40.94/26.55 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 40.94/26.55 tff(1129,plain,(
% 40.94/26.55 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.55 inference(skolemize,[status(sab)],[1128])).
% 40.94/26.55 tff(1130,plain,
% 40.94/26.55 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1129, 1125])).
% 40.94/26.55 tff(1131,plain,
% 40.94/26.55 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB3)) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB3)) | v130(constB3, bitIndex1))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1132,plain,
% 40.94/26.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB3)) | v130(constB3, bitIndex1))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1133,plain,
% 40.94/26.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB3)) | v130(constB3, bitIndex1)),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 40.94/26.55 tff(1134,plain,
% 40.94/26.55 (v130(constB3, bitIndex1)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1133, 1130, 983])).
% 40.94/26.55 tff(1135,plain,
% 40.94/26.55 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1136,plain,
% 40.94/26.55 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1135])).
% 40.94/26.55 tff(1137,plain,
% 40.94/26.55 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1138,plain,
% 40.94/26.55 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1139,plain,
% 40.94/26.55 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1138])).
% 40.94/26.55 tff(1140,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex1))) | v127(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 40.94/26.55 tff(1141,plain,
% 40.94/26.55 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 40.94/26.55 tff(1142,plain,
% 40.94/26.55 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1141, 1137])).
% 40.94/26.55 tff(1143,plain,(
% 40.94/26.55 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 40.94/26.55 inference(skolemize,[status(sab)],[1142])).
% 40.94/26.55 tff(1144,plain,
% 40.94/26.55 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1143, 1136])).
% 40.94/26.55 tff(1145,plain,
% 40.94/26.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1146,plain,
% 40.94/26.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1147,plain,
% 40.94/26.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1146, 1145])).
% 40.94/26.55 tff(1148,plain,
% 40.94/26.55 ((~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1147, 1144, 1012])).
% 40.94/26.55 tff(1149,plain,
% 40.94/26.55 (v127(constB3, bitIndex1)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1148, 1134])).
% 40.94/26.55 tff(1150,plain,
% 40.94/26.55 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1151,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1150])).
% 40.94/26.55 tff(1152,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1153,plain,
% 40.94/26.55 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1154,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1153])).
% 40.94/26.55 tff(1155,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1))) | v129(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 40.94/26.55 tff(1156,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1155, 1154])).
% 40.94/26.55 tff(1157,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1156, 1152])).
% 40.94/26.55 tff(1158,plain,(
% 40.94/26.55 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 40.94/26.55 inference(skolemize,[status(sab)],[1157])).
% 40.94/26.55 tff(1159,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1158, 1151])).
% 40.94/26.55 tff(1160,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1161,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1162,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 40.94/26.55 tff(1163,plain,
% 40.94/26.55 ((~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1162, 1159, 1027])).
% 40.94/26.55 tff(1164,plain,
% 40.94/26.55 (v129(constB4, bitIndex1)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1163, 1149])).
% 40.94/26.55 tff(1165,plain,
% 40.94/26.55 (^[VarNext: state_type] : refl((v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1166,plain,
% 40.94/26.55 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1165])).
% 40.94/26.55 tff(1167,plain,
% 40.94/26.55 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1168,plain,
% 40.94/26.55 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, bitIndex1))) | v90(VarNext, bitIndex1)) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1169,plain,
% 40.94/26.55 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex1))) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1168])).
% 40.94/26.55 tff(1170,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex1))) | v90(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_3')).
% 40.94/26.55 tff(1171,plain,
% 40.94/26.55 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 40.94/26.55 tff(1172,plain,
% 40.94/26.55 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1171, 1167])).
% 40.94/26.55 tff(1173,plain,(
% 40.94/26.55 ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 40.94/26.55 inference(skolemize,[status(sab)],[1172])).
% 40.94/26.55 tff(1174,plain,
% 40.94/26.55 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1173, 1166])).
% 40.94/26.55 tff(1175,plain,
% 40.94/26.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1176,plain,
% 40.94/26.55 ((v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1177,plain,
% 40.94/26.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))))),
% 40.94/26.55 inference(monotonicity,[status(thm)],[1176])).
% 40.94/26.55 tff(1178,plain,
% 40.94/26.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 40.94/26.55 inference(transitivity,[status(thm)],[1177, 1175])).
% 40.94/26.55 tff(1179,plain,
% 40.94/26.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1180,plain,
% 40.94/26.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1179, 1178])).
% 40.94/26.55 tff(1181,plain,
% 40.94/26.55 (v90(constB4, bitIndex1) | (~v100(constB4))),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1180, 1174, 1164])).
% 40.94/26.55 tff(1182,plain,
% 40.94/26.55 (v90(constB4, bitIndex1)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1181, 1067])).
% 40.94/26.55 tff(1183,plain,
% 40.94/26.55 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1184,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1183])).
% 40.94/26.55 tff(1185,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1186,plain,
% 40.94/26.55 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext)) | v90(VarNext, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext)) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1187,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1186])).
% 40.94/26.55 tff(1188,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_3')).
% 40.94/26.55 tff(1189,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1188, 1187])).
% 40.94/26.55 tff(1190,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1189, 1185])).
% 40.94/26.55 tff(1191,plain,(
% 40.94/26.55 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 40.94/26.55 inference(skolemize,[status(sab)],[1190])).
% 40.94/26.55 tff(1192,plain,
% 40.94/26.55 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1191, 1184])).
% 40.94/26.55 tff(1193,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1194,plain,
% 40.94/26.55 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1195,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)))),
% 40.94/26.55 inference(monotonicity,[status(thm)],[1194])).
% 40.94/26.55 tff(1196,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 40.94/26.55 inference(transitivity,[status(thm)],[1195, 1193])).
% 40.94/26.55 tff(1197,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1198,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1197, 1196])).
% 40.94/26.55 tff(1199,plain,
% 40.94/26.55 ((~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1198, 1192, 1102])).
% 40.94/26.55 tff(1200,plain,
% 40.94/26.55 ((~v90(constB4, bitIndex1)) | v90(constB5, bitIndex1)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1199, 1114])).
% 40.94/26.55 tff(1201,plain,
% 40.94/26.55 (v90(constB5, bitIndex1)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1200, 1182])).
% 40.94/26.55 tff(1202,plain,
% 40.94/26.55 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 40.94/26.55 inference(bind,[status(th)],[])).
% 40.94/26.55 tff(1203,plain,
% 40.94/26.55 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.55 inference(quant_intro,[status(thm)],[1202])).
% 40.94/26.55 tff(1204,plain,
% 40.94/26.55 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1205,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 40.94/26.55 tff(1206,plain,
% 40.94/26.55 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 40.94/26.55 tff(1207,plain,(
% 40.94/26.55 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.55 inference(skolemize,[status(sab)],[1206])).
% 40.94/26.55 tff(1208,plain,
% 40.94/26.55 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1207, 1203])).
% 40.94/26.55 tff(1209,plain,
% 40.94/26.55 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB3)) | (~v130(constB3, bitIndex0)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1210,plain,
% 40.94/26.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex0)))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1211,plain,
% 40.94/26.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB3)) | (~v130(constB3, bitIndex0))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 40.94/26.55 tff(1212,plain,
% 40.94/26.55 (~v130(constB3, bitIndex0)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1211, 1208, 983])).
% 40.94/26.55 tff(1213,plain,
% 40.94/26.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1214,plain,
% 40.94/26.55 ((v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0))) <=> ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1215,plain,
% 40.94/26.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)))),
% 40.94/26.55 inference(monotonicity,[status(thm)],[1214])).
% 40.94/26.55 tff(1216,plain,
% 40.94/26.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 40.94/26.55 inference(transitivity,[status(thm)],[1215, 1213])).
% 40.94/26.55 tff(1217,plain,
% 40.94/26.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1218,plain,
% 40.94/26.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 40.94/26.55 tff(1219,plain,
% 40.94/26.55 ((~v127(constB3, bitIndex0)) | v130(constB3, bitIndex0)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1218, 907, 1012])).
% 40.94/26.55 tff(1220,plain,
% 40.94/26.55 (~v127(constB3, bitIndex0)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1219, 1212])).
% 40.94/26.55 tff(1221,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1222,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1223,plain,
% 40.94/26.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1222, 1221])).
% 40.94/26.55 tff(1224,plain,
% 40.94/26.55 (v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1223, 937, 1027])).
% 40.94/26.55 tff(1225,plain,
% 40.94/26.55 (~v129(constB4, bitIndex0)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1224, 1220])).
% 40.94/26.55 tff(1226,plain,
% 40.94/26.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1227,plain,
% 40.94/26.55 (((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0)) <=> ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 40.94/26.55 inference(rewrite,[status(thm)],[])).
% 40.94/26.55 tff(1228,plain,
% 40.94/26.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))))),
% 40.94/26.55 inference(monotonicity,[status(thm)],[1227])).
% 40.94/26.55 tff(1229,plain,
% 40.94/26.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 40.94/26.55 inference(transitivity,[status(thm)],[1228, 1226])).
% 40.94/26.55 tff(1230,plain,
% 40.94/26.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))),
% 40.94/26.55 inference(quant_inst,[status(thm)],[])).
% 40.94/26.55 tff(1231,plain,
% 40.94/26.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))),
% 40.94/26.55 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 40.94/26.55 tff(1232,plain,
% 40.94/26.55 ((~v90(constB4, bitIndex0)) | (~v100(constB4))),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1231, 952, 1225])).
% 40.94/26.55 tff(1233,plain,
% 40.94/26.55 (~v90(constB4, bitIndex0)),
% 40.94/26.55 inference(unit_resolution,[status(thm)],[1232, 1067])).
% 40.94/26.55 tff(1234,plain,
% 40.94/26.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1235,plain,
% 40.94/26.56 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))) <=> (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1236,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))))),
% 40.94/26.56 inference(monotonicity,[status(thm)],[1235])).
% 40.94/26.56 tff(1237,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 40.94/26.56 inference(transitivity,[status(thm)],[1236, 1234])).
% 40.94/26.56 tff(1238,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1239,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 40.94/26.56 tff(1240,plain,
% 40.94/26.56 (v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1239, 465, 1102])).
% 40.94/26.56 tff(1241,plain,
% 40.94/26.56 (v90(constB4, bitIndex0) | (~v90(constB5, bitIndex0))),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1240, 1114])).
% 40.94/26.56 tff(1242,plain,
% 40.94/26.56 (~v90(constB5, bitIndex0)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1241, 1233])).
% 40.94/26.56 tff(1243,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1244,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1243])).
% 40.94/26.56 tff(1245,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1246,plain,
% 40.94/26.56 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)))), (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))), (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))), ((((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1247,plain,
% 40.94/26.56 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1246])).
% 40.94/26.56 tff(1248,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 40.94/26.56 tff(1249,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 40.94/26.56 tff(1250,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1249, 1245])).
% 40.94/26.56 tff(1251,plain,(
% 40.94/26.56 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 40.94/26.56 inference(skolemize,[status(sab)],[1250])).
% 40.94/26.56 tff(1252,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1251, 1244])).
% 40.94/26.56 tff(1253,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1254,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1255,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5)),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 40.94/26.56 tff(1256,plain,
% 40.94/26.56 (v125(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1255, 1252, 1242, 1201, 1123])).
% 40.94/26.56 tff(1257,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v113(VarCurr)) <=> ((~v125(VarCurr)) | v113(VarCurr)))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1258,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1257])).
% 40.94/26.56 tff(1259,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1260,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 40.94/26.56 tff(1261,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 40.94/26.56 tff(1262,plain,(
% 40.94/26.56 ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 40.94/26.56 inference(skolemize,[status(sab)],[1261])).
% 40.94/26.56 tff(1263,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1262, 1258])).
% 40.94/26.56 tff(1264,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB5)) | v113(constB5))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1265,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB5)) | v113(constB5))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1266,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB5)) | v113(constB5)),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 40.94/26.56 tff(1267,plain,
% 40.94/26.56 (v113(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1266, 1263, 1256])).
% 40.94/26.56 tff(1268,assumption,(v26(constB5)), introduced(assumption)).
% 40.94/26.56 tff(1269,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1270,plain,
% 40.94/26.56 ($false),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1269, 95, 1268])).
% 40.94/26.56 tff(1271,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 40.94/26.56 tff(1272,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1273,plain,
% 40.94/26.56 ((v26(constB5) | (~v113(constB5)) | v112(constB5)) <=> (v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1274,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5))))),
% 40.94/26.56 inference(monotonicity,[status(thm)],[1273])).
% 40.94/26.56 tff(1275,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 40.94/26.56 inference(transitivity,[status(thm)],[1274, 1272])).
% 40.94/26.56 tff(1276,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1277,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 40.94/26.56 tff(1278,plain,
% 40.94/26.56 (v112(constB5) | (~v113(constB5))),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1277, 581, 1271])).
% 40.94/26.56 tff(1279,plain,
% 40.94/26.56 (v112(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1278, 1267])).
% 40.94/26.56 tff(1280,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1281,plain,
% 40.94/26.56 (((~v112(constB5)) | v108(constB5)) <=> (v108(constB5) | (~v112(constB5)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1282,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5))))),
% 40.94/26.56 inference(monotonicity,[status(thm)],[1281])).
% 40.94/26.56 tff(1283,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 40.94/26.56 inference(transitivity,[status(thm)],[1282, 1280])).
% 40.94/26.56 tff(1284,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1285,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 40.94/26.56 tff(1286,plain,
% 40.94/26.56 (v108(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1285, 746, 1279])).
% 40.94/26.56 tff(1287,plain,
% 40.94/26.56 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1288,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 40.94/26.56 tff(1289,plain,
% 40.94/26.56 (nextState(constB5, constB6)),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 40.94/26.56 tff(1290,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1291,plain,
% 40.94/26.56 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1292,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 40.94/26.56 inference(monotonicity,[status(thm)],[1291])).
% 40.94/26.56 tff(1293,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 40.94/26.56 inference(transitivity,[status(thm)],[1292, 1290])).
% 40.94/26.56 tff(1294,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1295,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1294, 1293])).
% 40.94/26.56 tff(1296,plain,
% 40.94/26.56 (v110(constB6) | (~v108(constB5))),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1295, 731, 1289])).
% 40.94/26.56 tff(1297,plain,
% 40.94/26.56 (v110(constB6)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1296, 1286])).
% 40.94/26.56 tff(1298,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1299,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1300,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 40.94/26.56 tff(1301,plain,
% 40.94/26.56 (~v104(constB6)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1300, 659, 1289, 1099])).
% 40.94/26.56 tff(1302,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1303,plain,
% 40.94/26.56 (((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)) <=> ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1304,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6)))),
% 40.94/26.56 inference(monotonicity,[status(thm)],[1303])).
% 40.94/26.56 tff(1305,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 40.94/26.56 inference(transitivity,[status(thm)],[1304, 1302])).
% 40.94/26.56 tff(1306,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1307,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6)),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 40.94/26.56 tff(1308,plain,
% 40.94/26.56 (v104(constB6) | v102(constB6)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1307, 673, 1289])).
% 40.94/26.56 tff(1309,plain,
% 40.94/26.56 (v102(constB6)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1308, 1301])).
% 40.94/26.56 tff(1310,plain,
% 40.94/26.56 (v1(constB6) <=> v1(constB6)),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1311,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 40.94/26.56 tff(1312,plain,
% 40.94/26.56 (v1(constB6)),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1311, 1310])).
% 40.94/26.56 tff(1313,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1314,plain,
% 40.94/26.56 (((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))) <=> ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1315,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6))))),
% 40.94/26.56 inference(monotonicity,[status(thm)],[1314])).
% 40.94/26.56 tff(1316,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 40.94/26.56 inference(transitivity,[status(thm)],[1315, 1313])).
% 40.94/26.56 tff(1317,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1318,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 40.94/26.56 tff(1319,plain,
% 40.94/26.56 (v101(constB6) | (~v102(constB6))),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1318, 694, 1289, 1312])).
% 40.94/26.56 tff(1320,plain,
% 40.94/26.56 (v101(constB6)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1319, 1309])).
% 40.94/26.56 tff(1321,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1322,plain,
% 40.94/26.56 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1323,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 40.94/26.56 inference(monotonicity,[status(thm)],[1322])).
% 40.94/26.56 tff(1324,plain,
% 40.94/26.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 40.94/26.56 inference(transitivity,[status(thm)],[1323, 1321])).
% 40.94/26.56 tff(1325,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1326,plain,
% 40.94/26.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1325, 1324])).
% 40.94/26.56 tff(1327,plain,
% 40.94/26.56 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1326, 712, 1289])).
% 40.94/26.56 tff(1328,plain,
% 40.94/26.56 (v100(constB6) | (~v110(constB6))),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1327, 1320])).
% 40.94/26.56 tff(1329,plain,
% 40.94/26.56 (v100(constB6)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1328, 1297])).
% 40.94/26.56 tff(1330,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1331,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1330])).
% 40.94/26.56 tff(1332,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1333,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 40.94/26.56 tff(1334,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1333, 1332])).
% 40.94/26.56 tff(1335,plain,(
% 40.94/26.56 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(skolemize,[status(sab)],[1334])).
% 40.94/26.56 tff(1336,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1335, 1331])).
% 40.94/26.56 tff(1337,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v90(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v90(constB5, bitIndex2)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1338,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v90(constB5, bitIndex2)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1339,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v90(constB5, bitIndex2))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1338, 1337])).
% 40.94/26.56 tff(1340,plain,
% 40.94/26.56 (~v121(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1339, 1336, 1123])).
% 40.94/26.56 tff(1341,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1342,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1341])).
% 40.94/26.56 tff(1343,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1344,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 40.94/26.56 tff(1345,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 40.94/26.56 tff(1346,plain,(
% 40.94/26.56 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(skolemize,[status(sab)],[1345])).
% 40.94/26.56 tff(1347,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1346, 1342])).
% 40.94/26.56 tff(1348,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB5)) | (~v90(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB5)) | (~v90(constB5, bitIndex2)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1349,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB5)) | (~v90(constB5, bitIndex2)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1350,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB5)) | (~v90(constB5, bitIndex2))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 40.94/26.56 tff(1351,plain,
% 40.94/26.56 (~v122(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1350, 1347, 1123])).
% 40.94/26.56 tff(1352,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1353,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1352])).
% 40.94/26.56 tff(1354,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1355,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 40.94/26.56 tff(1356,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 40.94/26.56 tff(1357,plain,(
% 40.94/26.56 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(skolemize,[status(sab)],[1356])).
% 40.94/26.56 tff(1358,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1357, 1353])).
% 40.94/26.56 tff(1359,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB5)) | (~v90(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB5)) | (~v90(constB5, bitIndex1)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1360,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB5)) | (~v90(constB5, bitIndex1)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1361,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB5)) | (~v90(constB5, bitIndex1))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 40.94/26.56 tff(1362,plain,
% 40.94/26.56 (~v123(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1361, 1358, 1201])).
% 40.94/26.56 tff(1363,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1364,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1363])).
% 40.94/26.56 tff(1365,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1366,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 40.94/26.56 tff(1367,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 40.94/26.56 tff(1368,plain,(
% 40.94/26.56 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(skolemize,[status(sab)],[1367])).
% 40.94/26.56 tff(1369,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1368, 1364])).
% 40.94/26.56 tff(1370,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB5)) | (~v90(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB5)) | (~v90(constB5, bitIndex1)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1371,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB5)) | (~v90(constB5, bitIndex1)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1372,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB5)) | (~v90(constB5, bitIndex1))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 40.94/26.56 tff(1373,plain,
% 40.94/26.56 (~v124(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1372, 1369, 1201])).
% 40.94/26.56 tff(1374,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1375,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1374])).
% 40.94/26.56 tff(1376,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1377,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 40.94/26.56 tff(1378,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 40.94/26.56 tff(1379,plain,(
% 40.94/26.56 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(skolemize,[status(sab)],[1378])).
% 40.94/26.56 tff(1380,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1379, 1375])).
% 40.94/26.56 tff(1381,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB5)) | (~v90(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB5)) | (~v90(constB5, bitIndex1)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1382,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB5)) | (~v90(constB5, bitIndex1)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1383,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB5)) | (~v90(constB5, bitIndex1))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 40.94/26.56 tff(1384,plain,
% 40.94/26.56 (~v119(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1383, 1380, 1201])).
% 40.94/26.56 tff(1385,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1386,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1385])).
% 40.94/26.56 tff(1387,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1388,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 40.94/26.56 tff(1389,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1388, 1387])).
% 40.94/26.56 tff(1390,plain,(
% 40.94/26.56 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(skolemize,[status(sab)],[1389])).
% 40.94/26.56 tff(1391,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1390, 1386])).
% 40.94/26.56 tff(1392,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB5)) | (~v90(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB5)) | (~v90(constB5, bitIndex1)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1393,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB5)) | (~v90(constB5, bitIndex1)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1394,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB5)) | (~v90(constB5, bitIndex1))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 40.94/26.56 tff(1395,plain,
% 40.94/26.56 (~v120(constB5)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1394, 1391, 1201])).
% 40.94/26.56 tff(1396,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1397,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1396])).
% 40.94/26.56 tff(1398,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1399,plain,
% 40.94/26.56 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1400,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1399])).
% 40.94/26.56 tff(1401,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 40.94/26.56 tff(1402,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 40.94/26.56 tff(1403,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1402, 1398])).
% 40.94/26.56 tff(1404,plain,(
% 40.94/26.56 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(skolemize,[status(sab)],[1403])).
% 40.94/26.56 tff(1405,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1404, 1397])).
% 40.94/26.56 tff(1406,plain,
% 40.94/26.56 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1407,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))),
% 40.94/26.56 inference(quant_inst,[status(thm)],[])).
% 40.94/26.56 tff(1408,plain,
% 40.94/26.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1407, 1406])).
% 40.94/26.56 tff(1409,plain,
% 40.94/26.56 (~v130(constB5, bitIndex2)),
% 40.94/26.56 inference(unit_resolution,[status(thm)],[1408, 1405, 1395, 1384, 1373, 1362, 1351, 1340])).
% 40.94/26.56 tff(1410,plain,
% 40.94/26.56 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1411,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1410])).
% 40.94/26.56 tff(1412,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(rewrite,[status(thm)],[])).
% 40.94/26.56 tff(1413,plain,
% 40.94/26.56 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, bitIndex2))) | v130(VarCurr, bitIndex2)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 40.94/26.56 inference(bind,[status(th)],[])).
% 40.94/26.56 tff(1414,plain,
% 40.94/26.56 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex2))) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(quant_intro,[status(thm)],[1413])).
% 40.94/26.56 tff(1415,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex2))) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 40.94/26.56 tff(1416,plain,
% 40.94/26.56 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 40.94/26.56 inference(modus_ponens,[status(thm)],[1415, 1414])).
% 40.94/26.56 tff(1417,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1416, 1412])).
% 40.94/26.57 tff(1418,plain,(
% 40.94/26.57 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 40.94/26.57 inference(skolemize,[status(sab)],[1417])).
% 40.94/26.57 tff(1419,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1418, 1411])).
% 40.94/26.57 tff(1420,plain,
% 40.94/26.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1421,plain,
% 40.94/26.57 ((v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2))) <=> ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1422,plain,
% 40.94/26.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)))),
% 40.94/26.57 inference(monotonicity,[status(thm)],[1421])).
% 40.94/26.57 tff(1423,plain,
% 40.94/26.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 40.94/26.57 inference(transitivity,[status(thm)],[1422, 1420])).
% 40.94/26.57 tff(1424,plain,
% 40.94/26.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1425,plain,
% 40.94/26.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 40.94/26.57 tff(1426,plain,
% 40.94/26.57 ((~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1425, 1419, 1271])).
% 40.94/26.57 tff(1427,plain,
% 40.94/26.57 (~v127(constB5, bitIndex2)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1426, 1409])).
% 40.94/26.57 tff(1428,plain,
% 40.94/26.57 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 40.94/26.57 inference(bind,[status(th)],[])).
% 40.94/26.57 tff(1429,plain,
% 40.94/26.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 40.94/26.57 inference(quant_intro,[status(thm)],[1428])).
% 40.94/26.57 tff(1430,plain,
% 40.94/26.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1431,plain,
% 40.94/26.57 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 40.94/26.57 inference(bind,[status(th)],[])).
% 40.94/26.57 tff(1432,plain,
% 40.94/26.57 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 40.94/26.57 inference(quant_intro,[status(thm)],[1431])).
% 40.94/26.57 tff(1433,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex2))) | v127(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 40.94/26.57 tff(1434,plain,
% 40.94/26.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1433, 1432])).
% 40.94/26.57 tff(1435,plain,
% 40.94/26.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1434, 1430])).
% 40.94/26.57 tff(1436,plain,(
% 40.94/26.57 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 40.94/26.57 inference(skolemize,[status(sab)],[1435])).
% 40.94/26.57 tff(1437,plain,
% 40.94/26.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1436, 1429])).
% 40.94/26.57 tff(1438,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1439,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1440,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 40.94/26.57 tff(1441,plain,
% 40.94/26.57 (v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1440, 1437, 1289])).
% 40.94/26.57 tff(1442,plain,
% 40.94/26.57 (~v129(constB6, bitIndex2)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1441, 1427])).
% 40.94/26.57 tff(1443,plain,
% 40.94/26.57 (^[VarNext: state_type] : refl(((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))))),
% 40.94/26.57 inference(bind,[status(th)],[])).
% 40.94/26.57 tff(1444,plain,
% 40.94/26.57 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 40.94/26.57 inference(quant_intro,[status(thm)],[1443])).
% 40.94/26.57 tff(1445,plain,
% 40.94/26.57 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1446,plain,
% 40.94/26.57 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))))),
% 40.94/26.57 inference(bind,[status(th)],[])).
% 40.94/26.57 tff(1447,plain,
% 40.94/26.57 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 40.94/26.57 inference(quant_intro,[status(thm)],[1446])).
% 40.94/26.57 tff(1448,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v129(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_6')).
% 40.94/26.57 tff(1449,plain,
% 40.94/26.57 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 40.94/26.57 tff(1450,plain,
% 40.94/26.57 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1449, 1445])).
% 40.94/26.57 tff(1451,plain,(
% 40.94/26.57 ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 40.94/26.57 inference(skolemize,[status(sab)],[1450])).
% 40.94/26.57 tff(1452,plain,
% 40.94/26.57 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1451, 1444])).
% 40.94/26.57 tff(1453,plain,
% 40.94/26.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1454,plain,
% 40.94/26.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1455,plain,
% 40.94/26.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 40.94/26.57 tff(1456,plain,
% 40.94/26.57 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1455, 1452, 1442])).
% 40.94/26.57 tff(1457,plain,
% 40.94/26.57 (~v90(constB6, bitIndex2)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1456, 1329])).
% 40.94/26.57 tff(1458,plain,
% 40.94/26.57 ((~v1(constB7)) <=> (~v1(constB7))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1459,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 40.94/26.57 tff(1460,plain,
% 40.94/26.57 (~v1(constB7)),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 40.94/26.57 tff(1461,plain,
% 40.94/26.57 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1462,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 40.94/26.57 tff(1463,plain,
% 40.94/26.57 (nextState(constB6, constB7)),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1462, 1461])).
% 40.94/26.57 tff(1464,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1465,plain,
% 40.94/26.57 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1466,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 40.94/26.57 inference(monotonicity,[status(thm)],[1465])).
% 40.94/26.57 tff(1467,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 40.94/26.57 inference(transitivity,[status(thm)],[1466, 1464])).
% 40.94/26.57 tff(1468,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1469,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1468, 1467])).
% 40.94/26.57 tff(1470,plain,
% 40.94/26.57 (~v101(constB7)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1469, 391, 1463, 1460])).
% 40.94/26.57 tff(1471,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1472,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1473,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 40.94/26.57 tff(1474,plain,
% 40.94/26.57 (v101(constB7) | (~v100(constB7))),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1473, 408, 1463])).
% 40.94/26.57 tff(1475,plain,
% 40.94/26.57 (~v100(constB7)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1474, 1470])).
% 40.94/26.57 tff(1476,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1477,plain,
% 40.94/26.57 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))) <=> (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1478,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))))),
% 40.94/26.57 inference(monotonicity,[status(thm)],[1477])).
% 40.94/26.57 tff(1479,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 40.94/26.57 inference(transitivity,[status(thm)],[1478, 1476])).
% 40.94/26.57 tff(1480,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1481,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 40.94/26.57 tff(1482,plain,
% 40.94/26.57 (v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1481, 423, 1463])).
% 40.94/26.57 tff(1483,plain,
% 40.94/26.57 (v90(constB6, bitIndex2) | (~v90(constB7, bitIndex2))),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1482, 1475])).
% 40.94/26.57 tff(1484,plain,
% 40.94/26.57 (~v90(constB7, bitIndex2)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1483, 1457])).
% 40.94/26.57 tff(1485,plain,
% 40.94/26.57 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))),
% 40.94/26.57 inference(bind,[status(th)],[])).
% 40.94/26.57 tff(1486,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 40.94/26.57 inference(quant_intro,[status(thm)],[1485])).
% 40.94/26.57 tff(1487,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1488,plain,
% 40.94/26.57 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))))),
% 40.94/26.57 inference(bind,[status(th)],[])).
% 40.94/26.57 tff(1489,plain,
% 40.94/26.57 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 40.94/26.57 inference(quant_intro,[status(thm)],[1488])).
% 40.94/26.57 tff(1490,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 40.94/26.57 tff(1491,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 40.94/26.57 tff(1492,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1491, 1487])).
% 40.94/26.57 tff(1493,plain,(
% 40.94/26.57 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 40.94/26.57 inference(skolemize,[status(sab)],[1492])).
% 40.94/26.57 tff(1494,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1493, 1486])).
% 40.94/26.57 tff(1495,plain,
% 40.94/26.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1496,plain,
% 40.94/26.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1497,plain,
% 40.94/26.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1496, 1495])).
% 40.94/26.57 tff(1498,plain,
% 40.94/26.57 (~v130(constB5, bitIndex1)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1497, 1494, 1395, 1384, 1373, 1362, 1351, 1340])).
% 40.94/26.57 tff(1499,plain,
% 40.94/26.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1500,plain,
% 40.94/26.57 ((v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1))) <=> ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1501,plain,
% 40.94/26.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)))),
% 40.94/26.57 inference(monotonicity,[status(thm)],[1500])).
% 40.94/26.57 tff(1502,plain,
% 40.94/26.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 40.94/26.57 inference(transitivity,[status(thm)],[1501, 1499])).
% 40.94/26.57 tff(1503,plain,
% 40.94/26.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1504,plain,
% 40.94/26.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1503, 1502])).
% 40.94/26.57 tff(1505,plain,
% 40.94/26.57 ((~v127(constB5, bitIndex1)) | v130(constB5, bitIndex1)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1504, 823, 1271])).
% 40.94/26.57 tff(1506,plain,
% 40.94/26.57 (~v127(constB5, bitIndex1)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1505, 1498])).
% 40.94/26.57 tff(1507,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1508,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1509,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 40.94/26.57 tff(1510,plain,
% 40.94/26.57 (v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1509, 853, 1289])).
% 40.94/26.57 tff(1511,plain,
% 40.94/26.57 (~v129(constB6, bitIndex1)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1510, 1506])).
% 40.94/26.57 tff(1512,plain,
% 40.94/26.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1513,plain,
% 40.94/26.57 (((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1514,plain,
% 40.94/26.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))))),
% 40.94/26.57 inference(monotonicity,[status(thm)],[1513])).
% 40.94/26.57 tff(1515,plain,
% 40.94/26.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 40.94/26.57 inference(transitivity,[status(thm)],[1514, 1512])).
% 40.94/26.57 tff(1516,plain,
% 40.94/26.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1517,plain,
% 40.94/26.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1516, 1515])).
% 40.94/26.57 tff(1518,plain,
% 40.94/26.57 ((~v90(constB6, bitIndex1)) | (~v100(constB6))),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1517, 868, 1511])).
% 40.94/26.57 tff(1519,plain,
% 40.94/26.57 (~v90(constB6, bitIndex1)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1518, 1329])).
% 40.94/26.57 tff(1520,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1521,plain,
% 40.94/26.57 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1522,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1))))),
% 40.94/26.57 inference(monotonicity,[status(thm)],[1521])).
% 40.94/26.57 tff(1523,plain,
% 40.94/26.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 40.94/26.57 inference(transitivity,[status(thm)],[1522, 1520])).
% 40.94/26.57 tff(1524,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1525,plain,
% 40.94/26.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1524, 1523])).
% 40.94/26.57 tff(1526,plain,
% 40.94/26.57 (v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1525, 444, 1463])).
% 40.94/26.57 tff(1527,plain,
% 40.94/26.57 (v90(constB6, bitIndex1) | (~v90(constB7, bitIndex1))),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1526, 1475])).
% 40.94/26.57 tff(1528,plain,
% 40.94/26.57 (~v90(constB7, bitIndex1)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1527, 1519])).
% 40.94/26.57 tff(1529,plain,
% 40.94/26.57 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))),
% 40.94/26.57 inference(bind,[status(th)],[])).
% 40.94/26.57 tff(1530,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 40.94/26.57 inference(quant_intro,[status(thm)],[1529])).
% 40.94/26.57 tff(1531,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1532,plain,
% 40.94/26.57 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, bitIndex0)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))))),
% 40.94/26.57 inference(bind,[status(th)],[])).
% 40.94/26.57 tff(1533,plain,
% 40.94/26.57 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 40.94/26.57 inference(quant_intro,[status(thm)],[1532])).
% 40.94/26.57 tff(1534,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 40.94/26.57 tff(1535,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 40.94/26.57 tff(1536,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1535, 1531])).
% 40.94/26.57 tff(1537,plain,(
% 40.94/26.57 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 40.94/26.57 inference(skolemize,[status(sab)],[1536])).
% 40.94/26.57 tff(1538,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1537, 1530])).
% 40.94/26.57 tff(1539,plain,
% 40.94/26.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1540,plain,
% 40.94/26.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))),
% 40.94/26.57 inference(quant_inst,[status(thm)],[])).
% 40.94/26.57 tff(1541,plain,
% 40.94/26.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0)),
% 40.94/26.57 inference(modus_ponens,[status(thm)],[1540, 1539])).
% 40.94/26.57 tff(1542,plain,
% 40.94/26.57 (v130(constB5, bitIndex0)),
% 40.94/26.57 inference(unit_resolution,[status(thm)],[1541, 1538, 1395, 1384, 1373, 1362, 1351, 1340])).
% 40.94/26.57 tff(1543,plain,
% 40.94/26.57 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 40.94/26.57 inference(bind,[status(th)],[])).
% 40.94/26.57 tff(1544,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 40.94/26.57 inference(quant_intro,[status(thm)],[1543])).
% 40.94/26.57 tff(1545,plain,
% 40.94/26.57 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 40.94/26.57 inference(rewrite,[status(thm)],[])).
% 40.94/26.57 tff(1546,plain,
% 40.94/26.57 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1547,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1546])).
% 40.94/26.58 tff(1548,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex0))) | v127(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 40.94/26.58 tff(1549,plain,
% 40.94/26.58 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 40.94/26.58 tff(1550,plain,
% 40.94/26.58 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1549, 1545])).
% 40.94/26.58 tff(1551,plain,(
% 40.94/26.58 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 40.94/26.58 inference(skolemize,[status(sab)],[1550])).
% 40.94/26.58 tff(1552,plain,
% 40.94/26.58 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1551, 1544])).
% 40.94/26.58 tff(1553,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1554,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1555,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 40.94/26.58 tff(1556,plain,
% 40.94/26.58 ((~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1555, 1552, 1271])).
% 40.94/26.58 tff(1557,plain,
% 40.94/26.58 (v127(constB5, bitIndex0)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1556, 1542])).
% 40.94/26.58 tff(1558,plain,
% 40.94/26.58 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1559,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1558])).
% 40.94/26.58 tff(1560,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1561,plain,
% 40.94/26.58 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1562,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1561])).
% 40.94/26.58 tff(1563,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0))) | v129(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 40.94/26.58 tff(1564,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1563, 1562])).
% 40.94/26.58 tff(1565,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1564, 1560])).
% 40.94/26.58 tff(1566,plain,(
% 40.94/26.58 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 40.94/26.58 inference(skolemize,[status(sab)],[1565])).
% 40.94/26.58 tff(1567,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1566, 1559])).
% 40.94/26.58 tff(1568,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1569,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1570,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 40.94/26.58 tff(1571,plain,
% 40.94/26.58 ((~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1570, 1567, 1289])).
% 40.94/26.58 tff(1572,plain,
% 40.94/26.58 (v129(constB6, bitIndex0)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1571, 1557])).
% 40.94/26.58 tff(1573,plain,
% 40.94/26.58 (^[VarNext: state_type] : refl((v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1574,plain,
% 40.94/26.58 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1573])).
% 40.94/26.58 tff(1575,plain,
% 40.94/26.58 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1576,plain,
% 40.94/26.58 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, bitIndex0))) | v90(VarNext, bitIndex0)) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1577,plain,
% 40.94/26.58 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex0))) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1576])).
% 40.94/26.58 tff(1578,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex0))) | v90(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_1')).
% 40.94/26.58 tff(1579,plain,
% 40.94/26.58 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 40.94/26.58 tff(1580,plain,
% 40.94/26.58 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1579, 1575])).
% 40.94/26.58 tff(1581,plain,(
% 40.94/26.58 ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.58 inference(skolemize,[status(sab)],[1580])).
% 40.94/26.58 tff(1582,plain,
% 40.94/26.58 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1581, 1574])).
% 40.94/26.58 tff(1583,plain,
% 40.94/26.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1584,plain,
% 40.94/26.58 ((v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1585,plain,
% 40.94/26.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))))),
% 40.94/26.58 inference(monotonicity,[status(thm)],[1584])).
% 40.94/26.58 tff(1586,plain,
% 40.94/26.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 40.94/26.58 inference(transitivity,[status(thm)],[1585, 1583])).
% 40.94/26.58 tff(1587,plain,
% 40.94/26.58 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1588,plain,
% 40.94/26.58 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 40.94/26.58 tff(1589,plain,
% 40.94/26.58 (v90(constB6, bitIndex0) | (~v100(constB6))),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1588, 1582, 1572])).
% 40.94/26.58 tff(1590,plain,
% 40.94/26.58 (v90(constB6, bitIndex0)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1589, 1329])).
% 40.94/26.58 tff(1591,plain,
% 40.94/26.58 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1592,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1591])).
% 40.94/26.58 tff(1593,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1594,plain,
% 40.94/26.58 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext)) | v90(VarNext, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext)) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1595,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1594])).
% 40.94/26.58 tff(1596,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_1')).
% 40.94/26.58 tff(1597,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 40.94/26.58 tff(1598,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1597, 1593])).
% 40.94/26.58 tff(1599,plain,(
% 40.94/26.58 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 40.94/26.58 inference(skolemize,[status(sab)],[1598])).
% 40.94/26.58 tff(1600,plain,
% 40.94/26.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1599, 1592])).
% 40.94/26.58 tff(1601,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1602,plain,
% 40.94/26.58 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1603,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)))),
% 40.94/26.58 inference(monotonicity,[status(thm)],[1602])).
% 40.94/26.58 tff(1604,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 40.94/26.58 inference(transitivity,[status(thm)],[1603, 1601])).
% 40.94/26.58 tff(1605,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1606,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1605, 1604])).
% 40.94/26.58 tff(1607,plain,
% 40.94/26.58 ((~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1606, 1600, 1463])).
% 40.94/26.58 tff(1608,plain,
% 40.94/26.58 ((~v90(constB6, bitIndex0)) | v90(constB7, bitIndex0)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1607, 1475])).
% 40.94/26.58 tff(1609,plain,
% 40.94/26.58 (v90(constB7, bitIndex0)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1608, 1590])).
% 40.94/26.58 tff(1610,plain,
% 40.94/26.58 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1611,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1610])).
% 40.94/26.58 tff(1612,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1613,plain,
% 40.94/26.58 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v120(VarCurr)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v120(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))), ((((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1614,plain,
% 40.94/26.58 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1613])).
% 40.94/26.58 tff(1615,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 40.94/26.58 tff(1616,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1615, 1614])).
% 40.94/26.58 tff(1617,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1616, 1612])).
% 40.94/26.58 tff(1618,plain,(
% 40.94/26.58 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 40.94/26.58 inference(skolemize,[status(sab)],[1617])).
% 40.94/26.58 tff(1619,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1618, 1611])).
% 40.94/26.58 tff(1620,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1621,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1622,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1621, 1620])).
% 40.94/26.58 tff(1623,plain,
% 40.94/26.58 (v120(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1622, 1619, 1609, 1528, 1484])).
% 40.94/26.58 tff(1624,plain,
% 40.94/26.58 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v118(VarCurr)) <=> ((~v120(VarCurr)) | v118(VarCurr)))),
% 40.94/26.58 inference(bind,[status(th)],[])).
% 40.94/26.58 tff(1625,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 40.94/26.58 inference(quant_intro,[status(thm)],[1624])).
% 40.94/26.58 tff(1626,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1627,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 40.94/26.58 tff(1628,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 40.94/26.58 tff(1629,plain,(
% 40.94/26.58 ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 40.94/26.58 inference(skolemize,[status(sab)],[1628])).
% 40.94/26.58 tff(1630,plain,
% 40.94/26.58 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1629, 1625])).
% 40.94/26.58 tff(1631,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB7)) | v118(constB7))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB7)) | v118(constB7))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1632,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB7)) | v118(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1633,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB7)) | v118(constB7)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 40.94/26.58 tff(1634,plain,
% 40.94/26.58 (v118(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1633, 1630, 1623])).
% 40.94/26.58 tff(1635,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v118(constB7)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v118(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1636,plain,
% 40.94/26.58 (((~v118(constB7)) | v117(constB7)) <=> (v117(constB7) | (~v118(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1637,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v118(constB7))))),
% 40.94/26.58 inference(monotonicity,[status(thm)],[1636])).
% 40.94/26.58 tff(1638,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v118(constB7)))),
% 40.94/26.58 inference(transitivity,[status(thm)],[1637, 1635])).
% 40.94/26.58 tff(1639,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB7)) | v117(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1640,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v118(constB7))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 40.94/26.58 tff(1641,plain,
% 40.94/26.58 (v117(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1640, 511, 1634])).
% 40.94/26.58 tff(1642,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v117(constB7)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v117(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1643,plain,
% 40.94/26.58 (((~v117(constB7)) | v116(constB7)) <=> (v116(constB7) | (~v117(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1644,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v117(constB7))))),
% 40.94/26.58 inference(monotonicity,[status(thm)],[1643])).
% 40.94/26.58 tff(1645,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v117(constB7)))),
% 40.94/26.58 inference(transitivity,[status(thm)],[1644, 1642])).
% 40.94/26.58 tff(1646,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB7)) | v116(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1647,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v117(constB7))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 40.94/26.58 tff(1648,plain,
% 40.94/26.58 (v116(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1647, 525, 1641])).
% 40.94/26.58 tff(1649,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1650,plain,
% 40.94/26.58 (((~v116(constB7)) | v115(constB7)) <=> (v115(constB7) | (~v116(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1651,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7))))),
% 40.94/26.58 inference(monotonicity,[status(thm)],[1650])).
% 40.94/26.58 tff(1652,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 40.94/26.58 inference(transitivity,[status(thm)],[1651, 1649])).
% 40.94/26.58 tff(1653,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1654,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 40.94/26.58 tff(1655,plain,
% 40.94/26.58 (v115(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1654, 539, 1648])).
% 40.94/26.58 tff(1656,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1657,plain,
% 40.94/26.58 (((~v115(constB7)) | v114(constB7)) <=> (v114(constB7) | (~v115(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1658,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7))))),
% 40.94/26.58 inference(monotonicity,[status(thm)],[1657])).
% 40.94/26.58 tff(1659,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 40.94/26.58 inference(transitivity,[status(thm)],[1658, 1656])).
% 40.94/26.58 tff(1660,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1661,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1660, 1659])).
% 40.94/26.58 tff(1662,plain,
% 40.94/26.58 (v114(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1661, 553, 1655])).
% 40.94/26.58 tff(1663,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB7)) | v113(constB7))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1664,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1665,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB7)) | v113(constB7)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1664, 1663])).
% 40.94/26.58 tff(1666,plain,
% 40.94/26.58 (v113(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1665, 567, 1662])).
% 40.94/26.58 tff(1667,assumption,(v26(constB7)), introduced(assumption)).
% 40.94/26.58 tff(1668,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1669,plain,
% 40.94/26.58 ($false),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1668, 95, 1667])).
% 40.94/26.58 tff(1670,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 40.94/26.58 tff(1671,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1672,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1673,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | (~v113(constB7)) | v112(constB7)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1672, 1671])).
% 40.94/26.58 tff(1674,plain,
% 40.94/26.58 ((~v113(constB7)) | v112(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1673, 581, 1670])).
% 40.94/26.58 tff(1675,plain,
% 40.94/26.58 (v112(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1674, 1666])).
% 40.94/26.58 tff(1676,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1677,plain,
% 40.94/26.58 (((~v112(constB7)) | v108(constB7)) <=> (v108(constB7) | (~v112(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1678,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7))))),
% 40.94/26.58 inference(monotonicity,[status(thm)],[1677])).
% 40.94/26.58 tff(1679,plain,
% 40.94/26.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 40.94/26.58 inference(transitivity,[status(thm)],[1678, 1676])).
% 40.94/26.58 tff(1680,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1681,plain,
% 40.94/26.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 40.94/26.58 tff(1682,plain,
% 40.94/26.58 (v108(constB7)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1681, 746, 1675])).
% 40.94/26.58 tff(1683,plain,
% 40.94/26.58 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1684,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 40.94/26.58 tff(1685,plain,
% 40.94/26.58 (nextState(constB7, constB8)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1684, 1683])).
% 40.94/26.58 tff(1686,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1687,plain,
% 40.94/26.58 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1688,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 40.94/26.58 inference(monotonicity,[status(thm)],[1687])).
% 40.94/26.58 tff(1689,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 40.94/26.58 inference(transitivity,[status(thm)],[1688, 1686])).
% 40.94/26.58 tff(1690,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1691,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 40.94/26.58 tff(1692,plain,
% 40.94/26.58 (v110(constB8) | (~v108(constB7))),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1691, 731, 1685])).
% 40.94/26.58 tff(1693,plain,
% 40.94/26.58 (v110(constB8)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1692, 1682])).
% 40.94/26.58 tff(1694,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1695,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1696,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1695, 1694])).
% 40.94/26.58 tff(1697,plain,
% 40.94/26.58 (~v104(constB8)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1696, 659, 1685, 1460])).
% 40.94/26.58 tff(1698,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1699,plain,
% 40.94/26.58 (((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)) <=> ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1700,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8)))),
% 40.94/26.58 inference(monotonicity,[status(thm)],[1699])).
% 40.94/26.58 tff(1701,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 40.94/26.58 inference(transitivity,[status(thm)],[1700, 1698])).
% 40.94/26.58 tff(1702,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 40.94/26.58 inference(quant_inst,[status(thm)],[])).
% 40.94/26.58 tff(1703,plain,
% 40.94/26.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1702, 1701])).
% 40.94/26.58 tff(1704,plain,
% 40.94/26.58 (v104(constB8) | v102(constB8)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1703, 673, 1685])).
% 40.94/26.58 tff(1705,plain,
% 40.94/26.58 (v102(constB8)),
% 40.94/26.58 inference(unit_resolution,[status(thm)],[1704, 1697])).
% 40.94/26.58 tff(1706,plain,
% 40.94/26.58 (v1(constB8) <=> v1(constB8)),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1707,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 40.94/26.58 tff(1708,plain,
% 40.94/26.58 (v1(constB8)),
% 40.94/26.58 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 40.94/26.58 tff(1709,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1710,plain,
% 40.94/26.58 (((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))) <=> ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 40.94/26.58 inference(rewrite,[status(thm)],[])).
% 40.94/26.58 tff(1711,plain,
% 40.94/26.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8))))),
% 40.94/26.59 inference(monotonicity,[status(thm)],[1710])).
% 40.94/26.59 tff(1712,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 40.94/26.59 inference(transitivity,[status(thm)],[1711, 1709])).
% 40.94/26.59 tff(1713,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1714,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 40.94/26.59 tff(1715,plain,
% 40.94/26.59 (v101(constB8) | (~v102(constB8))),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1714, 694, 1685, 1708])).
% 40.94/26.59 tff(1716,plain,
% 40.94/26.59 (v101(constB8)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1715, 1705])).
% 40.94/26.59 tff(1717,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1718,plain,
% 40.94/26.59 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1719,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 40.94/26.59 inference(monotonicity,[status(thm)],[1718])).
% 40.94/26.59 tff(1720,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 40.94/26.59 inference(transitivity,[status(thm)],[1719, 1717])).
% 40.94/26.59 tff(1721,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1722,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1721, 1720])).
% 40.94/26.59 tff(1723,plain,
% 40.94/26.59 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1722, 712, 1685])).
% 40.94/26.59 tff(1724,plain,
% 40.94/26.59 (v100(constB8) | (~v110(constB8))),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1723, 1716])).
% 40.94/26.59 tff(1725,plain,
% 40.94/26.59 (v100(constB8)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1724, 1693])).
% 40.94/26.59 tff(1726,plain,
% 40.94/26.59 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 40.94/26.59 inference(bind,[status(th)],[])).
% 40.94/26.59 tff(1727,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.59 inference(quant_intro,[status(thm)],[1726])).
% 40.94/26.59 tff(1728,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1729,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_3')).
% 40.94/26.59 tff(1730,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1729, 1728])).
% 40.94/26.59 tff(1731,plain,(
% 40.94/26.59 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.59 inference(skolemize,[status(sab)],[1730])).
% 40.94/26.59 tff(1732,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1731, 1727])).
% 40.94/26.59 tff(1733,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1734,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1735,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 40.94/26.59 tff(1736,plain,
% 40.94/26.59 (~v130(constB7, bitIndex2)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1735, 1732, 1623])).
% 40.94/26.59 tff(1737,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1738,plain,
% 40.94/26.59 ((v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2))) <=> ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1739,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)))),
% 40.94/26.59 inference(monotonicity,[status(thm)],[1738])).
% 40.94/26.59 tff(1740,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 40.94/26.59 inference(transitivity,[status(thm)],[1739, 1737])).
% 40.94/26.59 tff(1741,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1742,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1741, 1740])).
% 40.94/26.59 tff(1743,plain,
% 40.94/26.59 ((~v127(constB7, bitIndex2)) | v130(constB7, bitIndex2)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1742, 1419, 1670])).
% 40.94/26.59 tff(1744,plain,
% 40.94/26.59 (~v127(constB7, bitIndex2)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1743, 1736])).
% 40.94/26.59 tff(1745,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1746,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1747,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 40.94/26.59 tff(1748,plain,
% 40.94/26.59 (v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1747, 1437, 1685])).
% 40.94/26.59 tff(1749,plain,
% 40.94/26.59 (~v129(constB8, bitIndex2)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1748, 1744])).
% 40.94/26.59 tff(1750,plain,
% 40.94/26.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1751,plain,
% 40.94/26.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1752,plain,
% 40.94/26.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1751, 1750])).
% 40.94/26.59 tff(1753,plain,
% 40.94/26.59 ((~v90(constB8, bitIndex2)) | (~v100(constB8))),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1752, 1452, 1749])).
% 40.94/26.59 tff(1754,plain,
% 40.94/26.59 (~v90(constB8, bitIndex2)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1753, 1725])).
% 40.94/26.59 tff(1755,plain,
% 40.94/26.59 ((~v1(constB9)) <=> (~v1(constB9))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1756,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 40.94/26.59 tff(1757,plain,
% 40.94/26.59 (~v1(constB9)),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 40.94/26.59 tff(1758,plain,
% 40.94/26.59 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1759,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 40.94/26.59 tff(1760,plain,
% 40.94/26.59 (nextState(constB8, constB9)),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 40.94/26.59 tff(1761,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1762,plain,
% 40.94/26.59 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1763,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 40.94/26.59 inference(monotonicity,[status(thm)],[1762])).
% 40.94/26.59 tff(1764,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 40.94/26.59 inference(transitivity,[status(thm)],[1763, 1761])).
% 40.94/26.59 tff(1765,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1766,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 40.94/26.59 tff(1767,plain,
% 40.94/26.59 (~v101(constB9)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1766, 391, 1760, 1757])).
% 40.94/26.59 tff(1768,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1769,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1770,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 40.94/26.59 tff(1771,plain,
% 40.94/26.59 (v101(constB9) | (~v100(constB9))),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1770, 408, 1760])).
% 40.94/26.59 tff(1772,plain,
% 40.94/26.59 (~v100(constB9)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1771, 1767])).
% 40.94/26.59 tff(1773,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1774,plain,
% 40.94/26.59 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1775,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2))))),
% 40.94/26.59 inference(monotonicity,[status(thm)],[1774])).
% 40.94/26.59 tff(1776,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 40.94/26.59 inference(transitivity,[status(thm)],[1775, 1773])).
% 40.94/26.59 tff(1777,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1778,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 40.94/26.59 tff(1779,plain,
% 40.94/26.59 (v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1778, 423, 1760])).
% 40.94/26.59 tff(1780,plain,
% 40.94/26.59 (v90(constB8, bitIndex2) | (~v90(constB9, bitIndex2))),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1779, 1772])).
% 40.94/26.59 tff(1781,plain,
% 40.94/26.59 (~v90(constB9, bitIndex2)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1780, 1754])).
% 40.94/26.59 tff(1782,plain,
% 40.94/26.59 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 40.94/26.59 inference(bind,[status(th)],[])).
% 40.94/26.59 tff(1783,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.59 inference(quant_intro,[status(thm)],[1782])).
% 40.94/26.59 tff(1784,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1785,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_2')).
% 40.94/26.59 tff(1786,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 40.94/26.59 tff(1787,plain,(
% 40.94/26.59 ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.59 inference(skolemize,[status(sab)],[1786])).
% 40.94/26.59 tff(1788,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1787, 1783])).
% 40.94/26.59 tff(1789,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB7)) | v130(constB7, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB7)) | v130(constB7, bitIndex1))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1790,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB7)) | v130(constB7, bitIndex1))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1791,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB7)) | v130(constB7, bitIndex1)),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 40.94/26.59 tff(1792,plain,
% 40.94/26.59 (v130(constB7, bitIndex1)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1791, 1788, 1623])).
% 40.94/26.59 tff(1793,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1794,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1795,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1)),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 40.94/26.59 tff(1796,plain,
% 40.94/26.59 ((~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1795, 1144, 1670])).
% 40.94/26.59 tff(1797,plain,
% 40.94/26.59 (v127(constB7, bitIndex1)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1796, 1792])).
% 40.94/26.59 tff(1798,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1799,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1800,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1)),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1799, 1798])).
% 40.94/26.59 tff(1801,plain,
% 40.94/26.59 ((~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1800, 1159, 1685])).
% 40.94/26.59 tff(1802,plain,
% 40.94/26.59 (v129(constB8, bitIndex1)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1801, 1797])).
% 40.94/26.59 tff(1803,plain,
% 40.94/26.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1804,plain,
% 40.94/26.59 ((v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1805,plain,
% 40.94/26.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8))))),
% 40.94/26.59 inference(monotonicity,[status(thm)],[1804])).
% 40.94/26.59 tff(1806,plain,
% 40.94/26.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 40.94/26.59 inference(transitivity,[status(thm)],[1805, 1803])).
% 40.94/26.59 tff(1807,plain,
% 40.94/26.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1808,plain,
% 40.94/26.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1807, 1806])).
% 40.94/26.59 tff(1809,plain,
% 40.94/26.59 (v90(constB8, bitIndex1) | (~v100(constB8))),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1808, 1174, 1802])).
% 40.94/26.59 tff(1810,plain,
% 40.94/26.59 (v90(constB8, bitIndex1)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1809, 1725])).
% 40.94/26.59 tff(1811,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1812,plain,
% 40.94/26.59 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1813,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1)))),
% 40.94/26.59 inference(monotonicity,[status(thm)],[1812])).
% 40.94/26.59 tff(1814,plain,
% 40.94/26.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 40.94/26.59 inference(transitivity,[status(thm)],[1813, 1811])).
% 40.94/26.59 tff(1815,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1816,plain,
% 40.94/26.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1)),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1815, 1814])).
% 40.94/26.59 tff(1817,plain,
% 40.94/26.59 ((~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1816, 1192, 1760])).
% 40.94/26.59 tff(1818,plain,
% 40.94/26.59 ((~v90(constB8, bitIndex1)) | v90(constB9, bitIndex1)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1817, 1772])).
% 40.94/26.59 tff(1819,plain,
% 40.94/26.59 (v90(constB9, bitIndex1)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1818, 1810])).
% 40.94/26.59 tff(1820,plain,
% 40.94/26.59 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 40.94/26.59 inference(bind,[status(th)],[])).
% 40.94/26.59 tff(1821,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.59 inference(quant_intro,[status(thm)],[1820])).
% 40.94/26.59 tff(1822,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1823,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1')).
% 40.94/26.59 tff(1824,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 40.94/26.59 tff(1825,plain,(
% 40.94/26.59 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.59 inference(skolemize,[status(sab)],[1824])).
% 40.94/26.59 tff(1826,plain,
% 40.94/26.59 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1825, 1821])).
% 40.94/26.59 tff(1827,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1828,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1829,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0))),
% 40.94/26.59 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 40.94/26.59 tff(1830,plain,
% 40.94/26.59 (~v130(constB7, bitIndex0)),
% 40.94/26.59 inference(unit_resolution,[status(thm)],[1829, 1826, 1623])).
% 40.94/26.59 tff(1831,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1832,plain,
% 40.94/26.59 ((v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0))) <=> ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 40.94/26.59 inference(rewrite,[status(thm)],[])).
% 40.94/26.59 tff(1833,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)))),
% 40.94/26.59 inference(monotonicity,[status(thm)],[1832])).
% 40.94/26.59 tff(1834,plain,
% 40.94/26.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 40.94/26.59 inference(transitivity,[status(thm)],[1833, 1831])).
% 40.94/26.59 tff(1835,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))),
% 40.94/26.59 inference(quant_inst,[status(thm)],[])).
% 40.94/26.59 tff(1836,plain,
% 40.94/26.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1835, 1834])).
% 40.94/26.60 tff(1837,plain,
% 40.94/26.60 ((~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1836, 907, 1670])).
% 40.94/26.60 tff(1838,plain,
% 40.94/26.60 (~v127(constB7, bitIndex0)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1837, 1830])).
% 40.94/26.60 tff(1839,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1840,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1841,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 40.94/26.60 tff(1842,plain,
% 40.94/26.60 (v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1841, 937, 1685])).
% 40.94/26.60 tff(1843,plain,
% 40.94/26.60 (~v129(constB8, bitIndex0)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1842, 1838])).
% 40.94/26.60 tff(1844,plain,
% 40.94/26.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1845,plain,
% 40.94/26.60 (((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1846,plain,
% 40.94/26.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1845])).
% 40.94/26.60 tff(1847,plain,
% 40.94/26.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1846, 1844])).
% 40.94/26.60 tff(1848,plain,
% 40.94/26.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1849,plain,
% 40.94/26.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 40.94/26.60 tff(1850,plain,
% 40.94/26.60 ((~v90(constB8, bitIndex0)) | (~v100(constB8))),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1849, 952, 1843])).
% 40.94/26.60 tff(1851,plain,
% 40.94/26.60 (~v90(constB8, bitIndex0)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1850, 1725])).
% 40.94/26.60 tff(1852,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1853,plain,
% 40.94/26.60 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1854,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1853])).
% 40.94/26.60 tff(1855,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1854, 1852])).
% 40.94/26.60 tff(1856,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1857,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1856, 1855])).
% 40.94/26.60 tff(1858,plain,
% 40.94/26.60 (v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1857, 465, 1760])).
% 40.94/26.60 tff(1859,plain,
% 40.94/26.60 (v90(constB8, bitIndex0) | (~v90(constB9, bitIndex0))),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1858, 1772])).
% 40.94/26.60 tff(1860,plain,
% 40.94/26.60 (~v90(constB9, bitIndex0)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1859, 1851])).
% 40.94/26.60 tff(1861,plain,
% 40.94/26.60 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)))),
% 40.94/26.60 inference(bind,[status(th)],[])).
% 40.94/26.60 tff(1862,plain,
% 40.94/26.60 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 40.94/26.60 inference(quant_intro,[status(thm)],[1861])).
% 40.94/26.60 tff(1863,plain,
% 40.94/26.60 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1864,plain,
% 40.94/26.60 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v121(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))))),
% 40.94/26.60 inference(bind,[status(th)],[])).
% 40.94/26.60 tff(1865,plain,
% 40.94/26.60 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 40.94/26.60 inference(quant_intro,[status(thm)],[1864])).
% 40.94/26.60 tff(1866,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 40.94/26.60 tff(1867,plain,
% 40.94/26.60 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 40.94/26.60 tff(1868,plain,
% 40.94/26.60 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1867, 1863])).
% 40.94/26.60 tff(1869,plain,(
% 40.94/26.60 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 40.94/26.60 inference(skolemize,[status(sab)],[1868])).
% 40.94/26.60 tff(1870,plain,
% 40.94/26.60 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1869, 1862])).
% 40.94/26.60 tff(1871,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1872,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1873,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9)),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 40.94/26.60 tff(1874,plain,
% 40.94/26.60 (v121(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1873, 1870, 1860, 1819, 1781])).
% 40.94/26.60 tff(1875,plain,
% 40.94/26.60 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v117(VarCurr)) <=> ((~v121(VarCurr)) | v117(VarCurr)))),
% 40.94/26.60 inference(bind,[status(th)],[])).
% 40.94/26.60 tff(1876,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 40.94/26.60 inference(quant_intro,[status(thm)],[1875])).
% 40.94/26.60 tff(1877,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1878,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 40.94/26.60 tff(1879,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 40.94/26.60 tff(1880,plain,(
% 40.94/26.60 ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 40.94/26.60 inference(skolemize,[status(sab)],[1879])).
% 40.94/26.60 tff(1881,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1880, 1876])).
% 40.94/26.60 tff(1882,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB9)) | v117(constB9))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB9)) | v117(constB9))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1883,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB9)) | v117(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1884,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB9)) | v117(constB9)),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 40.94/26.60 tff(1885,plain,
% 40.94/26.60 (v117(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1884, 1881, 1874])).
% 40.94/26.60 tff(1886,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB9) | (~v117(constB9)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB9) | (~v117(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1887,plain,
% 40.94/26.60 (((~v117(constB9)) | v116(constB9)) <=> (v116(constB9) | (~v117(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1888,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB9)) | v116(constB9))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB9) | (~v117(constB9))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1887])).
% 40.94/26.60 tff(1889,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB9)) | v116(constB9))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB9) | (~v117(constB9)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1888, 1886])).
% 40.94/26.60 tff(1890,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB9)) | v116(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1891,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB9) | (~v117(constB9))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 40.94/26.60 tff(1892,plain,
% 40.94/26.60 (v116(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1891, 525, 1885])).
% 40.94/26.60 tff(1893,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB9)) | v115(constB9))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1894,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB9)) | v115(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1895,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB9)) | v115(constB9)),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1894, 1893])).
% 40.94/26.60 tff(1896,plain,
% 40.94/26.60 (v115(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1895, 539, 1892])).
% 40.94/26.60 tff(1897,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1898,plain,
% 40.94/26.60 (((~v115(constB9)) | v114(constB9)) <=> (v114(constB9) | (~v115(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1899,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1898])).
% 40.94/26.60 tff(1900,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1899, 1897])).
% 40.94/26.60 tff(1901,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1902,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 40.94/26.60 tff(1903,plain,
% 40.94/26.60 (v114(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1902, 553, 1896])).
% 40.94/26.60 tff(1904,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1905,plain,
% 40.94/26.60 (((~v114(constB9)) | v113(constB9)) <=> (v113(constB9) | (~v114(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1906,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1905])).
% 40.94/26.60 tff(1907,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1906, 1904])).
% 40.94/26.60 tff(1908,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1909,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1908, 1907])).
% 40.94/26.60 tff(1910,plain,
% 40.94/26.60 (v113(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1909, 567, 1903])).
% 40.94/26.60 tff(1911,assumption,(~v108(constB9)), introduced(assumption)).
% 40.94/26.60 tff(1912,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1913,plain,
% 40.94/26.60 (((~v112(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v112(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1914,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1913])).
% 40.94/26.60 tff(1915,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1914, 1912])).
% 40.94/26.60 tff(1916,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1917,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1916, 1915])).
% 40.94/26.60 tff(1918,plain,
% 40.94/26.60 (~v112(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1917, 746, 1911])).
% 40.94/26.60 tff(1919,plain,
% 40.94/26.60 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v108(VarCurr)) <=> ((~v26(VarCurr)) | v108(VarCurr)))),
% 40.94/26.60 inference(bind,[status(th)],[])).
% 40.94/26.60 tff(1920,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 40.94/26.60 inference(quant_intro,[status(thm)],[1919])).
% 40.94/26.60 tff(1921,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1922,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 40.94/26.60 tff(1923,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1922, 1921])).
% 40.94/26.60 tff(1924,plain,(
% 40.94/26.60 ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 40.94/26.60 inference(skolemize,[status(sab)],[1923])).
% 40.94/26.60 tff(1925,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1924, 1920])).
% 40.94/26.60 tff(1926,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v26(constB9)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v26(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1927,plain,
% 40.94/26.60 (((~v26(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v26(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1928,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v26(constB9))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1927])).
% 40.94/26.60 tff(1929,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v26(constB9)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1928, 1926])).
% 40.94/26.60 tff(1930,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB9)) | v108(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1931,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v26(constB9))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1930, 1929])).
% 40.94/26.60 tff(1932,plain,
% 40.94/26.60 (~v26(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1931, 1925, 1911])).
% 40.94/26.60 tff(1933,assumption,(v113(constB9)), introduced(assumption)).
% 40.94/26.60 tff(1934,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1935,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1936,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9)),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1935, 1934])).
% 40.94/26.60 tff(1937,plain,
% 40.94/26.60 (v26(constB9) | v112(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1936, 581, 1933])).
% 40.94/26.60 tff(1938,plain,
% 40.94/26.60 ($false),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1937, 1932, 1918])).
% 40.94/26.60 tff(1939,plain,(v108(constB9) | (~v113(constB9))), inference(lemma,lemma(discharge,[]))).
% 40.94/26.60 tff(1940,plain,
% 40.94/26.60 (v108(constB9)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1939, 1910])).
% 40.94/26.60 tff(1941,plain,
% 40.94/26.60 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1942,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 40.94/26.60 tff(1943,plain,
% 40.94/26.60 (nextState(constB9, constB10)),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 40.94/26.60 tff(1944,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1945,plain,
% 40.94/26.60 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1946,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1945])).
% 40.94/26.60 tff(1947,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1946, 1944])).
% 40.94/26.60 tff(1948,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1949,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 40.94/26.60 tff(1950,plain,
% 40.94/26.60 (v110(constB10) | (~v108(constB9))),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1949, 731, 1943])).
% 40.94/26.60 tff(1951,plain,
% 40.94/26.60 (v110(constB10)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1950, 1940])).
% 40.94/26.60 tff(1952,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1953,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1954,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 40.94/26.60 tff(1955,plain,
% 40.94/26.60 (~v104(constB10)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1954, 659, 1943, 1757])).
% 40.94/26.60 tff(1956,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1957,plain,
% 40.94/26.60 (((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)) <=> ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1958,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10)))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1957])).
% 40.94/26.60 tff(1959,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1958, 1956])).
% 40.94/26.60 tff(1960,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1961,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10)),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 40.94/26.60 tff(1962,plain,
% 40.94/26.60 (v104(constB10) | v102(constB10)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1961, 673, 1943])).
% 40.94/26.60 tff(1963,plain,
% 40.94/26.60 (v102(constB10)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1962, 1955])).
% 40.94/26.60 tff(1964,plain,
% 40.94/26.60 (v1(constB10) <=> v1(constB10)),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1965,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 40.94/26.60 tff(1966,plain,
% 40.94/26.60 (v1(constB10)),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1965, 1964])).
% 40.94/26.60 tff(1967,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1968,plain,
% 40.94/26.60 (((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))) <=> ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1969,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1968])).
% 40.94/26.60 tff(1970,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1969, 1967])).
% 40.94/26.60 tff(1971,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1972,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 40.94/26.60 tff(1973,plain,
% 40.94/26.60 (v101(constB10) | (~v102(constB10))),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1972, 694, 1943, 1966])).
% 40.94/26.60 tff(1974,plain,
% 40.94/26.60 (v101(constB10)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1973, 1963])).
% 40.94/26.60 tff(1975,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1976,plain,
% 40.94/26.60 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1977,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[1976])).
% 40.94/26.60 tff(1978,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 40.94/26.60 inference(transitivity,[status(thm)],[1977, 1975])).
% 40.94/26.60 tff(1979,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1980,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 40.94/26.60 tff(1981,plain,
% 40.94/26.60 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1980, 712, 1943])).
% 40.94/26.60 tff(1982,plain,
% 40.94/26.60 (v100(constB10) | (~v110(constB10))),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1981, 1974])).
% 40.94/26.60 tff(1983,plain,
% 40.94/26.60 (v100(constB10)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1982, 1951])).
% 40.94/26.60 tff(1984,plain,
% 40.94/26.60 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 40.94/26.60 inference(bind,[status(th)],[])).
% 40.94/26.60 tff(1985,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.60 inference(quant_intro,[status(thm)],[1984])).
% 40.94/26.60 tff(1986,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1987,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_3')).
% 40.94/26.60 tff(1988,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 40.94/26.60 tff(1989,plain,(
% 40.94/26.60 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.60 inference(skolemize,[status(sab)],[1988])).
% 40.94/26.60 tff(1990,plain,
% 40.94/26.60 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1989, 1985])).
% 40.94/26.60 tff(1991,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(1992,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1993,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2))),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 40.94/26.60 tff(1994,plain,
% 40.94/26.60 (~v130(constB9, bitIndex2)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1993, 1990, 1874])).
% 40.94/26.60 tff(1995,assumption,(v26(constB9)), introduced(assumption)).
% 40.94/26.60 tff(1996,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(1997,plain,
% 40.94/26.60 ($false),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[1996, 95, 1995])).
% 40.94/26.60 tff(1998,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 40.94/26.60 tff(1999,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(2000,plain,
% 40.94/26.60 ((v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2))) <=> ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(2001,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2)))),
% 40.94/26.60 inference(monotonicity,[status(thm)],[2000])).
% 40.94/26.60 tff(2002,plain,
% 40.94/26.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 40.94/26.60 inference(transitivity,[status(thm)],[2001, 1999])).
% 40.94/26.60 tff(2003,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))),
% 40.94/26.60 inference(quant_inst,[status(thm)],[])).
% 40.94/26.60 tff(2004,plain,
% 40.94/26.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2)),
% 40.94/26.60 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 40.94/26.60 tff(2005,plain,
% 40.94/26.60 ((~v127(constB9, bitIndex2)) | v130(constB9, bitIndex2)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[2004, 1419, 1998])).
% 40.94/26.60 tff(2006,plain,
% 40.94/26.60 (~v127(constB9, bitIndex2)),
% 40.94/26.60 inference(unit_resolution,[status(thm)],[2005, 1994])).
% 40.94/26.60 tff(2007,plain,
% 40.94/26.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))),
% 40.94/26.60 inference(rewrite,[status(thm)],[])).
% 40.94/26.60 tff(2008,plain,
% 40.94/26.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))),
% 40.94/26.61 inference(quant_inst,[status(thm)],[])).
% 40.94/26.61 tff(2009,plain,
% 40.94/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 40.94/26.61 tff(2010,plain,
% 40.94/26.61 (v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2009, 1437, 1943])).
% 40.94/26.61 tff(2011,plain,
% 40.94/26.61 (~v129(constB10, bitIndex2)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2010, 2006])).
% 40.94/26.61 tff(2012,plain,
% 40.94/26.61 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2013,plain,
% 40.94/26.61 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 40.94/26.61 inference(quant_inst,[status(thm)],[])).
% 40.94/26.61 tff(2014,plain,
% 40.94/26.61 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10))),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2013, 2012])).
% 40.94/26.61 tff(2015,plain,
% 40.94/26.61 ((~v90(constB10, bitIndex2)) | (~v100(constB10))),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2014, 1452, 2011])).
% 40.94/26.61 tff(2016,plain,
% 40.94/26.61 (~v90(constB10, bitIndex2)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2015, 1983])).
% 40.94/26.61 tff(2017,plain,
% 40.94/26.61 ((~v1(constB11)) <=> (~v1(constB11))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2018,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 40.94/26.61 tff(2019,plain,
% 40.94/26.61 (~v1(constB11)),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2018, 2017])).
% 40.94/26.61 tff(2020,plain,
% 40.94/26.61 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2021,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 40.94/26.61 tff(2022,plain,
% 40.94/26.61 (nextState(constB10, constB11)),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2021, 2020])).
% 40.94/26.61 tff(2023,plain,
% 40.94/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2024,plain,
% 40.94/26.61 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2025,plain,
% 40.94/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 40.94/26.61 inference(monotonicity,[status(thm)],[2024])).
% 40.94/26.61 tff(2026,plain,
% 40.94/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 40.94/26.61 inference(transitivity,[status(thm)],[2025, 2023])).
% 40.94/26.61 tff(2027,plain,
% 40.94/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 40.94/26.61 inference(quant_inst,[status(thm)],[])).
% 40.94/26.61 tff(2028,plain,
% 40.94/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2027, 2026])).
% 40.94/26.61 tff(2029,plain,
% 40.94/26.61 (~v101(constB11)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2028, 391, 2022, 2019])).
% 40.94/26.61 tff(2030,plain,
% 40.94/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2031,plain,
% 40.94/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 40.94/26.61 inference(quant_inst,[status(thm)],[])).
% 40.94/26.61 tff(2032,plain,
% 40.94/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 40.94/26.61 tff(2033,plain,
% 40.94/26.61 (v101(constB11) | (~v100(constB11))),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2032, 408, 2022])).
% 40.94/26.61 tff(2034,plain,
% 40.94/26.61 (~v100(constB11)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2033, 2029])).
% 40.94/26.61 tff(2035,plain,
% 40.94/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2036,plain,
% 40.94/26.61 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2037,plain,
% 40.94/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2))))),
% 40.94/26.61 inference(monotonicity,[status(thm)],[2036])).
% 40.94/26.61 tff(2038,plain,
% 40.94/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 40.94/26.61 inference(transitivity,[status(thm)],[2037, 2035])).
% 40.94/26.61 tff(2039,plain,
% 40.94/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 40.94/26.61 inference(quant_inst,[status(thm)],[])).
% 40.94/26.61 tff(2040,plain,
% 40.94/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2))),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2039, 2038])).
% 40.94/26.61 tff(2041,plain,
% 40.94/26.61 (v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2040, 423, 2022])).
% 40.94/26.61 tff(2042,plain,
% 40.94/26.61 (v90(constB10, bitIndex2) | (~v90(constB11, bitIndex2))),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2041, 2034])).
% 40.94/26.61 tff(2043,plain,
% 40.94/26.61 (~v90(constB11, bitIndex2)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2042, 2016])).
% 40.94/26.61 tff(2044,plain,
% 40.94/26.61 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 40.94/26.61 inference(bind,[status(th)],[])).
% 40.94/26.61 tff(2045,plain,
% 40.94/26.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.61 inference(quant_intro,[status(thm)],[2044])).
% 40.94/26.61 tff(2046,plain,
% 40.94/26.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2047,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_2')).
% 40.94/26.61 tff(2048,plain,
% 40.94/26.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 40.94/26.61 tff(2049,plain,(
% 40.94/26.61 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.61 inference(skolemize,[status(sab)],[2048])).
% 40.94/26.61 tff(2050,plain,
% 40.94/26.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2049, 2045])).
% 40.94/26.61 tff(2051,plain,
% 40.94/26.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB9)) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB9)) | v130(constB9, bitIndex1))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2052,plain,
% 40.94/26.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB9)) | v130(constB9, bitIndex1))),
% 40.94/26.61 inference(quant_inst,[status(thm)],[])).
% 40.94/26.61 tff(2053,plain,
% 40.94/26.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB9)) | v130(constB9, bitIndex1)),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 40.94/26.61 tff(2054,plain,
% 40.94/26.61 (v130(constB9, bitIndex1)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2053, 2050, 1874])).
% 40.94/26.61 tff(2055,plain,
% 40.94/26.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2056,plain,
% 40.94/26.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))),
% 40.94/26.61 inference(quant_inst,[status(thm)],[])).
% 40.94/26.61 tff(2057,plain,
% 40.94/26.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1)),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 40.94/26.61 tff(2058,plain,
% 40.94/26.61 ((~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2057, 1144, 1998])).
% 40.94/26.61 tff(2059,plain,
% 40.94/26.61 (v127(constB9, bitIndex1)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2058, 2054])).
% 40.94/26.61 tff(2060,plain,
% 40.94/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2061,plain,
% 40.94/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))),
% 40.94/26.61 inference(quant_inst,[status(thm)],[])).
% 40.94/26.61 tff(2062,plain,
% 40.94/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1)),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 40.94/26.61 tff(2063,plain,
% 40.94/26.61 ((~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2062, 1159, 1943])).
% 40.94/26.61 tff(2064,plain,
% 40.94/26.61 (v129(constB10, bitIndex1)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2063, 2059])).
% 40.94/26.61 tff(2065,plain,
% 40.94/26.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2066,plain,
% 40.94/26.61 ((v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 40.94/26.61 inference(rewrite,[status(thm)],[])).
% 40.94/26.61 tff(2067,plain,
% 40.94/26.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10))))),
% 40.94/26.61 inference(monotonicity,[status(thm)],[2066])).
% 40.94/26.61 tff(2068,plain,
% 40.94/26.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 40.94/26.61 inference(transitivity,[status(thm)],[2067, 2065])).
% 40.94/26.61 tff(2069,plain,
% 40.94/26.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))),
% 40.94/26.61 inference(quant_inst,[status(thm)],[])).
% 40.94/26.61 tff(2070,plain,
% 40.94/26.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10))),
% 40.94/26.61 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 40.94/26.61 tff(2071,plain,
% 40.94/26.61 (v90(constB10, bitIndex1) | (~v100(constB10))),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2070, 1174, 2064])).
% 40.94/26.61 tff(2072,plain,
% 40.94/26.61 (v90(constB10, bitIndex1)),
% 40.94/26.61 inference(unit_resolution,[status(thm)],[2071, 1983])).
% 40.94/26.61 tff(2073,plain,
% 40.94/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2074,plain,
% 41.02/26.61 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2075,plain,
% 41.02/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1)))),
% 41.02/26.61 inference(monotonicity,[status(thm)],[2074])).
% 41.02/26.61 tff(2076,plain,
% 41.02/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 41.02/26.61 inference(transitivity,[status(thm)],[2075, 2073])).
% 41.02/26.61 tff(2077,plain,
% 41.02/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1))),
% 41.02/26.61 inference(quant_inst,[status(thm)],[])).
% 41.02/26.61 tff(2078,plain,
% 41.02/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1)),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2077, 2076])).
% 41.02/26.61 tff(2079,plain,
% 41.02/26.61 ((~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2078, 1192, 2022])).
% 41.02/26.61 tff(2080,plain,
% 41.02/26.61 ((~v90(constB10, bitIndex1)) | v90(constB11, bitIndex1)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2079, 2034])).
% 41.02/26.61 tff(2081,plain,
% 41.02/26.61 (v90(constB11, bitIndex1)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2080, 2072])).
% 41.02/26.61 tff(2082,plain,
% 41.02/26.61 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 41.02/26.61 inference(bind,[status(th)],[])).
% 41.02/26.61 tff(2083,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.02/26.61 inference(quant_intro,[status(thm)],[2082])).
% 41.02/26.61 tff(2084,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2085,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1')).
% 41.02/26.61 tff(2086,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 41.02/26.61 tff(2087,plain,(
% 41.02/26.61 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.02/26.61 inference(skolemize,[status(sab)],[2086])).
% 41.02/26.61 tff(2088,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2087, 2083])).
% 41.02/26.61 tff(2089,plain,
% 41.02/26.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB9)) | v130(constB9, bitIndex0))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2090,plain,
% 41.02/26.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB9)) | v130(constB9, bitIndex0))),
% 41.02/26.61 inference(quant_inst,[status(thm)],[])).
% 41.02/26.61 tff(2091,plain,
% 41.02/26.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB9)) | v130(constB9, bitIndex0)),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 41.02/26.61 tff(2092,plain,
% 41.02/26.61 (v130(constB9, bitIndex0)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2091, 2088, 1874])).
% 41.02/26.61 tff(2093,plain,
% 41.02/26.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2094,plain,
% 41.02/26.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 41.02/26.61 inference(quant_inst,[status(thm)],[])).
% 41.02/26.61 tff(2095,plain,
% 41.02/26.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2094, 2093])).
% 41.02/26.61 tff(2096,plain,
% 41.02/26.61 ((~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2095, 1552, 1998])).
% 41.02/26.61 tff(2097,plain,
% 41.02/26.61 (v127(constB9, bitIndex0)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2096, 2092])).
% 41.02/26.61 tff(2098,plain,
% 41.02/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2099,plain,
% 41.02/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 41.02/26.61 inference(quant_inst,[status(thm)],[])).
% 41.02/26.61 tff(2100,plain,
% 41.02/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 41.02/26.61 tff(2101,plain,
% 41.02/26.61 ((~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2100, 1567, 1943])).
% 41.02/26.61 tff(2102,plain,
% 41.02/26.61 (v129(constB10, bitIndex0)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2101, 2097])).
% 41.02/26.61 tff(2103,plain,
% 41.02/26.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2104,plain,
% 41.02/26.61 ((v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2105,plain,
% 41.02/26.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))))),
% 41.02/26.61 inference(monotonicity,[status(thm)],[2104])).
% 41.02/26.61 tff(2106,plain,
% 41.02/26.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 41.02/26.61 inference(transitivity,[status(thm)],[2105, 2103])).
% 41.02/26.61 tff(2107,plain,
% 41.02/26.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))),
% 41.02/26.61 inference(quant_inst,[status(thm)],[])).
% 41.02/26.61 tff(2108,plain,
% 41.02/26.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 41.02/26.61 tff(2109,plain,
% 41.02/26.61 (v90(constB10, bitIndex0) | (~v100(constB10))),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2108, 1582, 2102])).
% 41.02/26.61 tff(2110,plain,
% 41.02/26.61 (v90(constB10, bitIndex0)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2109, 1983])).
% 41.02/26.61 tff(2111,plain,
% 41.02/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2112,plain,
% 41.02/26.61 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2113,plain,
% 41.02/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)))),
% 41.02/26.61 inference(monotonicity,[status(thm)],[2112])).
% 41.02/26.61 tff(2114,plain,
% 41.02/26.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 41.02/26.61 inference(transitivity,[status(thm)],[2113, 2111])).
% 41.02/26.61 tff(2115,plain,
% 41.02/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))),
% 41.02/26.61 inference(quant_inst,[status(thm)],[])).
% 41.02/26.61 tff(2116,plain,
% 41.02/26.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2115, 2114])).
% 41.02/26.61 tff(2117,plain,
% 41.02/26.61 ((~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2116, 1600, 2022])).
% 41.02/26.61 tff(2118,plain,
% 41.02/26.61 ((~v90(constB10, bitIndex0)) | v90(constB11, bitIndex0)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2117, 2034])).
% 41.02/26.61 tff(2119,plain,
% 41.02/26.61 (v90(constB11, bitIndex0)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2118, 2110])).
% 41.02/26.61 tff(2120,plain,
% 41.02/26.61 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)))),
% 41.02/26.61 inference(bind,[status(th)],[])).
% 41.02/26.61 tff(2121,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 41.02/26.61 inference(quant_intro,[status(thm)],[2120])).
% 41.02/26.61 tff(2122,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2123,plain,
% 41.02/26.61 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex2))), (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2))), (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)))), ((((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v122(VarCurr)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))), ((((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))))),
% 41.02/26.61 inference(bind,[status(th)],[])).
% 41.02/26.61 tff(2124,plain,
% 41.02/26.61 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 41.02/26.61 inference(quant_intro,[status(thm)],[2123])).
% 41.02/26.61 tff(2125,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 41.02/26.61 tff(2126,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2125, 2124])).
% 41.02/26.61 tff(2127,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2126, 2122])).
% 41.02/26.61 tff(2128,plain,(
% 41.02/26.61 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 41.02/26.61 inference(skolemize,[status(sab)],[2127])).
% 41.02/26.61 tff(2129,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2128, 2121])).
% 41.02/26.61 tff(2130,plain,
% 41.02/26.61 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2131,plain,
% 41.02/26.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))),
% 41.02/26.61 inference(quant_inst,[status(thm)],[])).
% 41.02/26.61 tff(2132,plain,
% 41.02/26.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11)),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2131, 2130])).
% 41.02/26.61 tff(2133,plain,
% 41.02/26.61 (v122(constB11)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2132, 2129, 2119, 2081, 2043])).
% 41.02/26.61 tff(2134,plain,
% 41.02/26.61 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v116(VarCurr)) <=> ((~v122(VarCurr)) | v116(VarCurr)))),
% 41.02/26.61 inference(bind,[status(th)],[])).
% 41.02/26.61 tff(2135,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 41.02/26.61 inference(quant_intro,[status(thm)],[2134])).
% 41.02/26.61 tff(2136,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2137,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 41.02/26.61 tff(2138,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2137, 2136])).
% 41.02/26.61 tff(2139,plain,(
% 41.02/26.61 ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 41.02/26.61 inference(skolemize,[status(sab)],[2138])).
% 41.02/26.61 tff(2140,plain,
% 41.02/26.61 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2139, 2135])).
% 41.02/26.61 tff(2141,plain,
% 41.02/26.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB11)) | v116(constB11))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB11)) | v116(constB11))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2142,plain,
% 41.02/26.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB11)) | v116(constB11))),
% 41.02/26.61 inference(quant_inst,[status(thm)],[])).
% 41.02/26.61 tff(2143,plain,
% 41.02/26.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB11)) | v116(constB11)),
% 41.02/26.61 inference(modus_ponens,[status(thm)],[2142, 2141])).
% 41.02/26.61 tff(2144,plain,
% 41.02/26.61 (v116(constB11)),
% 41.02/26.61 inference(unit_resolution,[status(thm)],[2143, 2140, 2133])).
% 41.02/26.61 tff(2145,plain,
% 41.02/26.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB11) | (~v116(constB11)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB11) | (~v116(constB11)))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2146,plain,
% 41.02/26.61 (((~v116(constB11)) | v115(constB11)) <=> (v115(constB11) | (~v116(constB11)))),
% 41.02/26.61 inference(rewrite,[status(thm)],[])).
% 41.02/26.61 tff(2147,plain,
% 41.02/26.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB11)) | v115(constB11))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB11) | (~v116(constB11))))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2146])).
% 41.02/26.62 tff(2148,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB11)) | v115(constB11))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB11) | (~v116(constB11)))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2147, 2145])).
% 41.02/26.62 tff(2149,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB11)) | v115(constB11))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2150,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB11) | (~v116(constB11))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2149, 2148])).
% 41.02/26.62 tff(2151,plain,
% 41.02/26.62 (v115(constB11)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2150, 539, 2144])).
% 41.02/26.62 tff(2152,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB11) | (~v115(constB11)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v115(constB11)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2153,plain,
% 41.02/26.62 (((~v115(constB11)) | v114(constB11)) <=> (v114(constB11) | (~v115(constB11)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2154,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB11) | (~v115(constB11))))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2153])).
% 41.02/26.62 tff(2155,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v115(constB11)))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2154, 2152])).
% 41.02/26.62 tff(2156,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB11)) | v114(constB11))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2157,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v115(constB11))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2156, 2155])).
% 41.02/26.62 tff(2158,plain,
% 41.02/26.62 (v114(constB11)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2157, 553, 2151])).
% 41.02/26.62 tff(2159,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB11)) | v113(constB11))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2160,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2161,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB11)) | v113(constB11)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2160, 2159])).
% 41.02/26.62 tff(2162,plain,
% 41.02/26.62 (v113(constB11)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2161, 567, 2158])).
% 41.02/26.62 tff(2163,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2164,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2165,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2164, 2163])).
% 41.02/26.62 tff(2166,plain,
% 41.02/26.62 (v26(constB11) | v112(constB11)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2165, 581, 2162])).
% 41.02/26.62 tff(2167,plain,
% 41.02/26.62 (v112(constB11)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2166, 370])).
% 41.02/26.62 tff(2168,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2169,plain,
% 41.02/26.62 (((~v112(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v112(constB11)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2170,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11))))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2169])).
% 41.02/26.62 tff(2171,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2170, 2168])).
% 41.02/26.62 tff(2172,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2173,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2172, 2171])).
% 41.02/26.62 tff(2174,plain,
% 41.02/26.62 (v108(constB11)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2173, 746, 2167])).
% 41.02/26.62 tff(2175,plain,
% 41.02/26.62 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2176,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 41.02/26.62 tff(2177,plain,
% 41.02/26.62 (nextState(constB11, constB12)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 41.02/26.62 tff(2178,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2179,plain,
% 41.02/26.62 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2180,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2179])).
% 41.02/26.62 tff(2181,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2180, 2178])).
% 41.02/26.62 tff(2182,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2183,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 41.02/26.62 tff(2184,plain,
% 41.02/26.62 (v110(constB12) | (~v108(constB11))),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2183, 731, 2177])).
% 41.02/26.62 tff(2185,plain,
% 41.02/26.62 (v110(constB12)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2184, 2174])).
% 41.02/26.62 tff(2186,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2187,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2188,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2187, 2186])).
% 41.02/26.62 tff(2189,plain,
% 41.02/26.62 (~v104(constB12)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2188, 659, 2177, 2019])).
% 41.02/26.62 tff(2190,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2191,plain,
% 41.02/26.62 (((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)) <=> ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2192,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12)))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2191])).
% 41.02/26.62 tff(2193,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2192, 2190])).
% 41.02/26.62 tff(2194,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2195,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2194, 2193])).
% 41.02/26.62 tff(2196,plain,
% 41.02/26.62 (v104(constB12) | v102(constB12)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2195, 673, 2177])).
% 41.02/26.62 tff(2197,plain,
% 41.02/26.62 (v102(constB12)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2196, 2189])).
% 41.02/26.62 tff(2198,plain,
% 41.02/26.62 (v1(constB12) <=> v1(constB12)),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2199,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 41.02/26.62 tff(2200,plain,
% 41.02/26.62 (v1(constB12)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2199, 2198])).
% 41.02/26.62 tff(2201,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2202,plain,
% 41.02/26.62 (((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))) <=> ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2203,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12))))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2202])).
% 41.02/26.62 tff(2204,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2203, 2201])).
% 41.02/26.62 tff(2205,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2206,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2205, 2204])).
% 41.02/26.62 tff(2207,plain,
% 41.02/26.62 (v101(constB12) | (~v102(constB12))),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2206, 694, 2177, 2200])).
% 41.02/26.62 tff(2208,plain,
% 41.02/26.62 (v101(constB12)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2207, 2197])).
% 41.02/26.62 tff(2209,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2210,plain,
% 41.02/26.62 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2211,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2210])).
% 41.02/26.62 tff(2212,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2211, 2209])).
% 41.02/26.62 tff(2213,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2214,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 41.02/26.62 tff(2215,plain,
% 41.02/26.62 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2214, 712, 2177])).
% 41.02/26.62 tff(2216,plain,
% 41.02/26.62 (v100(constB12) | (~v110(constB12))),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2215, 2208])).
% 41.02/26.62 tff(2217,plain,
% 41.02/26.62 (v100(constB12)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2216, 2185])).
% 41.02/26.62 tff(2218,plain,
% 41.02/26.62 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 41.02/26.62 inference(bind,[status(th)],[])).
% 41.02/26.62 tff(2219,plain,
% 41.02/26.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 41.02/26.62 inference(quant_intro,[status(thm)],[2218])).
% 41.02/26.62 tff(2220,plain,
% 41.02/26.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2221,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 41.02/26.62 tff(2222,plain,
% 41.02/26.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2221, 2220])).
% 41.02/26.62 tff(2223,plain,(
% 41.02/26.62 ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 41.02/26.62 inference(skolemize,[status(sab)],[2222])).
% 41.02/26.62 tff(2224,plain,
% 41.02/26.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2223, 2219])).
% 41.02/26.62 tff(2225,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB11)) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB11)) | v130(constB11, bitIndex2))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2226,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB11)) | v130(constB11, bitIndex2))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2227,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB11)) | v130(constB11, bitIndex2)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 41.02/26.62 tff(2228,plain,
% 41.02/26.62 (v130(constB11, bitIndex2)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2227, 2224, 2133])).
% 41.02/26.62 tff(2229,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2230,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2231,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 41.02/26.62 tff(2232,plain,
% 41.02/26.62 (v26(constB11) | v127(constB11, bitIndex2)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2231, 607, 2228])).
% 41.02/26.62 tff(2233,plain,
% 41.02/26.62 (v127(constB11, bitIndex2)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2232, 370])).
% 41.02/26.62 tff(2234,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2235,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2236,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 41.02/26.62 tff(2237,plain,
% 41.02/26.62 ((~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2236, 625, 2177])).
% 41.02/26.62 tff(2238,plain,
% 41.02/26.62 (v129(constB12, bitIndex2)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2237, 2233])).
% 41.02/26.62 tff(2239,plain,
% 41.02/26.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2240,plain,
% 41.02/26.62 ((v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2241,plain,
% 41.02/26.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2240])).
% 41.02/26.62 tff(2242,plain,
% 41.02/26.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2241, 2239])).
% 41.02/26.62 tff(2243,plain,
% 41.02/26.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2244,plain,
% 41.02/26.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2243, 2242])).
% 41.02/26.62 tff(2245,plain,
% 41.02/26.62 (v90(constB12, bitIndex2) | (~v100(constB12))),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2244, 641, 2238])).
% 41.02/26.62 tff(2246,plain,
% 41.02/26.62 (v90(constB12, bitIndex2)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2245, 2217])).
% 41.02/26.62 tff(2247,plain,
% 41.02/26.62 ((~v1(constB13)) <=> (~v1(constB13))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2248,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 41.02/26.62 tff(2249,plain,
% 41.02/26.62 (~v1(constB13)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2248, 2247])).
% 41.02/26.62 tff(2250,plain,
% 41.02/26.62 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2251,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 41.02/26.62 tff(2252,plain,
% 41.02/26.62 (nextState(constB12, constB13)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 41.02/26.62 tff(2253,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2254,plain,
% 41.02/26.62 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2255,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2254])).
% 41.02/26.62 tff(2256,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2255, 2253])).
% 41.02/26.62 tff(2257,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2258,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 41.02/26.62 tff(2259,plain,
% 41.02/26.62 (~v101(constB13)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2258, 391, 2252, 2249])).
% 41.02/26.62 tff(2260,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2261,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2262,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2261, 2260])).
% 41.02/26.62 tff(2263,plain,
% 41.02/26.62 (v101(constB13) | (~v100(constB13))),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2262, 408, 2252])).
% 41.02/26.62 tff(2264,plain,
% 41.02/26.62 (~v100(constB13)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2263, 2259])).
% 41.02/26.62 tff(2265,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2266,plain,
% 41.02/26.62 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2267,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2266])).
% 41.02/26.62 tff(2268,plain,
% 41.02/26.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2267, 2265])).
% 41.02/26.62 tff(2269,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2270,plain,
% 41.02/26.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 41.02/26.62 tff(2271,plain,
% 41.02/26.62 ((~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2270, 783, 2252])).
% 41.02/26.62 tff(2272,plain,
% 41.02/26.62 ((~v90(constB12, bitIndex2)) | v90(constB13, bitIndex2)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2271, 2264])).
% 41.02/26.62 tff(2273,plain,
% 41.02/26.62 (v90(constB13, bitIndex2)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2272, 2246])).
% 41.02/26.62 tff(2274,assumption,(v127(constB11, bitIndex1)), introduced(assumption)).
% 41.02/26.62 tff(2275,plain,
% 41.02/26.62 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 41.02/26.62 inference(bind,[status(th)],[])).
% 41.02/26.62 tff(2276,plain,
% 41.02/26.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 41.02/26.62 inference(quant_intro,[status(thm)],[2275])).
% 41.02/26.62 tff(2277,plain,
% 41.02/26.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2278,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 41.02/26.62 tff(2279,plain,
% 41.02/26.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 41.02/26.62 tff(2280,plain,(
% 41.02/26.62 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 41.02/26.62 inference(skolemize,[status(sab)],[2279])).
% 41.02/26.62 tff(2281,plain,
% 41.02/26.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2280, 2276])).
% 41.02/26.62 tff(2282,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB11)) | (~v130(constB11, bitIndex1)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2283,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex1)))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2284,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB11)) | (~v130(constB11, bitIndex1))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2283, 2282])).
% 41.02/26.62 tff(2285,plain,
% 41.02/26.62 (~v130(constB11, bitIndex1)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2284, 2281, 2133])).
% 41.02/26.62 tff(2286,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2287,plain,
% 41.02/26.62 ((v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1))) <=> ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2288,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1)))),
% 41.02/26.62 inference(monotonicity,[status(thm)],[2287])).
% 41.02/26.62 tff(2289,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 41.02/26.62 inference(transitivity,[status(thm)],[2288, 2286])).
% 41.02/26.62 tff(2290,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2291,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1)),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2290, 2289])).
% 41.02/26.62 tff(2292,plain,
% 41.02/26.62 ((~v127(constB11, bitIndex1)) | v26(constB11)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2291, 823, 2285])).
% 41.02/26.62 tff(2293,plain,
% 41.02/26.62 (v26(constB11)),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2292, 2274])).
% 41.02/26.62 tff(2294,plain,
% 41.02/26.62 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB11)) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB11)) | (~v127(constB11, bitIndex1)))),
% 41.02/26.62 inference(rewrite,[status(thm)],[])).
% 41.02/26.62 tff(2295,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB11)) | (~v127(constB11, bitIndex1)))),
% 41.02/26.62 inference(quant_inst,[status(thm)],[])).
% 41.02/26.62 tff(2296,plain,
% 41.02/26.62 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB11)) | (~v127(constB11, bitIndex1))),
% 41.02/26.62 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 41.02/26.62 tff(2297,plain,
% 41.02/26.62 ($false),
% 41.02/26.62 inference(unit_resolution,[status(thm)],[2296, 838, 2274, 2293])).
% 41.02/26.63 tff(2298,plain,(~v127(constB11, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 41.02/26.63 tff(2299,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2300,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2301,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2300, 2299])).
% 41.02/26.63 tff(2302,plain,
% 41.02/26.63 (v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2301, 853, 2177])).
% 41.02/26.63 tff(2303,plain,
% 41.02/26.63 (~v129(constB12, bitIndex1)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2302, 2298])).
% 41.02/26.63 tff(2304,plain,
% 41.02/26.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2305,plain,
% 41.02/26.63 (((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2306,plain,
% 41.02/26.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2305])).
% 41.02/26.63 tff(2307,plain,
% 41.02/26.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2306, 2304])).
% 41.02/26.63 tff(2308,plain,
% 41.02/26.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2309,plain,
% 41.02/26.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 41.02/26.63 tff(2310,plain,
% 41.02/26.63 ((~v90(constB12, bitIndex1)) | (~v100(constB12))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2309, 868, 2303])).
% 41.02/26.63 tff(2311,plain,
% 41.02/26.63 (~v90(constB12, bitIndex1)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2310, 2217])).
% 41.02/26.63 tff(2312,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2313,plain,
% 41.02/26.63 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2314,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2313])).
% 41.02/26.63 tff(2315,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2314, 2312])).
% 41.02/26.63 tff(2316,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2317,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2316, 2315])).
% 41.02/26.63 tff(2318,plain,
% 41.02/26.63 (v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2317, 444, 2252])).
% 41.02/26.63 tff(2319,plain,
% 41.02/26.63 (v90(constB12, bitIndex1) | (~v90(constB13, bitIndex1))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2318, 2264])).
% 41.02/26.63 tff(2320,plain,
% 41.02/26.63 (~v90(constB13, bitIndex1)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2319, 2311])).
% 41.02/26.63 tff(2321,plain,
% 41.02/26.63 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 41.02/26.63 inference(bind,[status(th)],[])).
% 41.02/26.63 tff(2322,plain,
% 41.02/26.63 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 41.02/26.63 inference(quant_intro,[status(thm)],[2321])).
% 41.02/26.63 tff(2323,plain,
% 41.02/26.63 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2324,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 41.02/26.63 tff(2325,plain,
% 41.02/26.63 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 41.02/26.63 tff(2326,plain,(
% 41.02/26.63 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 41.02/26.63 inference(skolemize,[status(sab)],[2325])).
% 41.02/26.63 tff(2327,plain,
% 41.02/26.63 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2326, 2322])).
% 41.02/26.63 tff(2328,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2329,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2330,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 41.02/26.63 tff(2331,plain,
% 41.02/26.63 (~v130(constB11, bitIndex0)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2330, 2327, 2133])).
% 41.02/26.63 tff(2332,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2333,plain,
% 41.02/26.63 ((v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0))) <=> ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2334,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2333])).
% 41.02/26.63 tff(2335,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2334, 2332])).
% 41.02/26.63 tff(2336,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2337,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 41.02/26.63 tff(2338,plain,
% 41.02/26.63 ((~v127(constB11, bitIndex0)) | v26(constB11)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2337, 907, 2331])).
% 41.02/26.63 tff(2339,plain,
% 41.02/26.63 (~v127(constB11, bitIndex0)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2338, 370])).
% 41.02/26.63 tff(2340,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2341,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2342,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 41.02/26.63 tff(2343,plain,
% 41.02/26.63 (v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2342, 937, 2177])).
% 41.02/26.63 tff(2344,plain,
% 41.02/26.63 (~v129(constB12, bitIndex0)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2343, 2339])).
% 41.02/26.63 tff(2345,plain,
% 41.02/26.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2346,plain,
% 41.02/26.63 (((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0)) <=> ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2347,plain,
% 41.02/26.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2346])).
% 41.02/26.63 tff(2348,plain,
% 41.02/26.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2347, 2345])).
% 41.02/26.63 tff(2349,plain,
% 41.02/26.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2350,plain,
% 41.02/26.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2349, 2348])).
% 41.02/26.63 tff(2351,plain,
% 41.02/26.63 ((~v90(constB12, bitIndex0)) | (~v100(constB12))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2350, 952, 2344])).
% 41.02/26.63 tff(2352,plain,
% 41.02/26.63 (~v90(constB12, bitIndex0)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2351, 2217])).
% 41.02/26.63 tff(2353,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2354,plain,
% 41.02/26.63 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))) <=> (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2355,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2354])).
% 41.02/26.63 tff(2356,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2355, 2353])).
% 41.02/26.63 tff(2357,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2358,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2357, 2356])).
% 41.02/26.63 tff(2359,plain,
% 41.02/26.63 (v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2358, 465, 2252])).
% 41.02/26.63 tff(2360,plain,
% 41.02/26.63 (v90(constB12, bitIndex0) | (~v90(constB13, bitIndex0))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2359, 2264])).
% 41.02/26.63 tff(2361,plain,
% 41.02/26.63 (~v90(constB13, bitIndex0)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2360, 2352])).
% 41.02/26.63 tff(2362,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2363,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2364,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13)),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2363, 2362])).
% 41.02/26.63 tff(2365,plain,
% 41.02/26.63 (v123(constB13)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2364, 979, 2361, 2320, 2273])).
% 41.02/26.63 tff(2366,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB13)) | v115(constB13))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB13)) | v115(constB13))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2367,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB13)) | v115(constB13))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2368,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB13)) | v115(constB13)),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 41.02/26.63 tff(2369,plain,
% 41.02/26.63 (v115(constB13)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2368, 990, 2365])).
% 41.02/26.63 tff(2370,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB13)) | v114(constB13))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB13)) | v114(constB13))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2371,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB13)) | v114(constB13))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2372,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB13)) | v114(constB13)),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2371, 2370])).
% 41.02/26.63 tff(2373,plain,
% 41.02/26.63 (v114(constB13)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2372, 553, 2369])).
% 41.02/26.63 tff(2374,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB13) | (~v114(constB13)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v114(constB13)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2375,plain,
% 41.02/26.63 (((~v114(constB13)) | v113(constB13)) <=> (v113(constB13) | (~v114(constB13)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2376,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB13) | (~v114(constB13))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2375])).
% 41.02/26.63 tff(2377,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v114(constB13)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2376, 2374])).
% 41.02/26.63 tff(2378,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB13)) | v113(constB13))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2379,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v114(constB13))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 41.02/26.63 tff(2380,plain,
% 41.02/26.63 (v113(constB13)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2379, 567, 2373])).
% 41.02/26.63 tff(2381,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2382,plain,
% 41.02/26.63 ((v26(constB13) | (~v113(constB13)) | v112(constB13)) <=> (v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2383,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2382])).
% 41.02/26.63 tff(2384,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2383, 2381])).
% 41.02/26.63 tff(2385,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2386,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 41.02/26.63 tff(2387,plain,
% 41.02/26.63 (v26(constB13) | v112(constB13)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2386, 581, 2380])).
% 41.02/26.63 tff(2388,plain,
% 41.02/26.63 (v112(constB13)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2387, 366])).
% 41.02/26.63 tff(2389,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2390,plain,
% 41.02/26.63 (((~v112(constB13)) | v108(constB13)) <=> (v108(constB13) | (~v112(constB13)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2391,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2390])).
% 41.02/26.63 tff(2392,plain,
% 41.02/26.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2391, 2389])).
% 41.02/26.63 tff(2393,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2394,plain,
% 41.02/26.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 41.02/26.63 tff(2395,plain,
% 41.02/26.63 (v108(constB13)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2394, 746, 2388])).
% 41.02/26.63 tff(2396,plain,
% 41.02/26.63 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2397,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 41.02/26.63 tff(2398,plain,
% 41.02/26.63 (nextState(constB13, constB14)),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 41.02/26.63 tff(2399,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2400,plain,
% 41.02/26.63 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2401,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2400])).
% 41.02/26.63 tff(2402,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2401, 2399])).
% 41.02/26.63 tff(2403,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2404,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2403, 2402])).
% 41.02/26.63 tff(2405,plain,
% 41.02/26.63 (v110(constB14) | (~v108(constB13))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2404, 731, 2398])).
% 41.02/26.63 tff(2406,plain,
% 41.02/26.63 (v110(constB14)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2405, 2395])).
% 41.02/26.63 tff(2407,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2408,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2409,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2408, 2407])).
% 41.02/26.63 tff(2410,plain,
% 41.02/26.63 (~v104(constB14)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2409, 659, 2398, 2249])).
% 41.02/26.63 tff(2411,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2412,plain,
% 41.02/26.63 (((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)) <=> ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2413,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14)))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2412])).
% 41.02/26.63 tff(2414,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2413, 2411])).
% 41.02/26.63 tff(2415,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2416,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14)),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2415, 2414])).
% 41.02/26.63 tff(2417,plain,
% 41.02/26.63 (v104(constB14) | v102(constB14)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2416, 673, 2398])).
% 41.02/26.63 tff(2418,plain,
% 41.02/26.63 (v102(constB14)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2417, 2410])).
% 41.02/26.63 tff(2419,plain,
% 41.02/26.63 (v1(constB14) <=> v1(constB14)),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2420,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 41.02/26.63 tff(2421,plain,
% 41.02/26.63 (v1(constB14)),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2420, 2419])).
% 41.02/26.63 tff(2422,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2423,plain,
% 41.02/26.63 (((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))) <=> ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2424,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2423])).
% 41.02/26.63 tff(2425,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2424, 2422])).
% 41.02/26.63 tff(2426,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 41.02/26.63 inference(quant_inst,[status(thm)],[])).
% 41.02/26.63 tff(2427,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14))),
% 41.02/26.63 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 41.02/26.63 tff(2428,plain,
% 41.02/26.63 (v101(constB14) | (~v102(constB14))),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2427, 694, 2398, 2421])).
% 41.02/26.63 tff(2429,plain,
% 41.02/26.63 (v101(constB14)),
% 41.02/26.63 inference(unit_resolution,[status(thm)],[2428, 2418])).
% 41.02/26.63 tff(2430,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2431,plain,
% 41.02/26.63 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 41.02/26.63 inference(rewrite,[status(thm)],[])).
% 41.02/26.63 tff(2432,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 41.02/26.63 inference(monotonicity,[status(thm)],[2431])).
% 41.02/26.63 tff(2433,plain,
% 41.02/26.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 41.02/26.63 inference(transitivity,[status(thm)],[2432, 2430])).
% 41.02/26.63 tff(2434,plain,
% 41.02/26.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2435,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 41.02/26.64 tff(2436,plain,
% 41.02/26.64 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2435, 712, 2398])).
% 41.02/26.64 tff(2437,plain,
% 41.02/26.64 (v100(constB14) | (~v110(constB14))),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2436, 2429])).
% 41.02/26.64 tff(2438,plain,
% 41.02/26.64 (v100(constB14)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2437, 2406])).
% 41.02/26.64 tff(2439,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB13)) | v130(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB13)) | v130(constB13, bitIndex2))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2440,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB13)) | v130(constB13, bitIndex2))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2441,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB13)) | v130(constB13, bitIndex2)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2440, 2439])).
% 41.02/26.64 tff(2442,plain,
% 41.02/26.64 (v130(constB13, bitIndex2)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2441, 1074, 2365])).
% 41.02/26.64 tff(2443,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2444,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2445,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2444, 2443])).
% 41.02/26.64 tff(2446,plain,
% 41.02/26.64 (v26(constB13) | v127(constB13, bitIndex2)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2445, 607, 2442])).
% 41.02/26.64 tff(2447,plain,
% 41.02/26.64 (v127(constB13, bitIndex2)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2446, 366])).
% 41.02/26.64 tff(2448,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2449,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2450,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2449, 2448])).
% 41.02/26.64 tff(2451,plain,
% 41.02/26.64 ((~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2450, 625, 2398])).
% 41.02/26.64 tff(2452,plain,
% 41.02/26.64 (v129(constB14, bitIndex2)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2451, 2447])).
% 41.02/26.64 tff(2453,plain,
% 41.02/26.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2454,plain,
% 41.02/26.64 ((v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2455,plain,
% 41.02/26.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14))))),
% 41.02/26.64 inference(monotonicity,[status(thm)],[2454])).
% 41.02/26.64 tff(2456,plain,
% 41.02/26.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 41.02/26.64 inference(transitivity,[status(thm)],[2455, 2453])).
% 41.02/26.64 tff(2457,plain,
% 41.02/26.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2458,plain,
% 41.02/26.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 41.02/26.64 tff(2459,plain,
% 41.02/26.64 (v90(constB14, bitIndex2) | (~v100(constB14))),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2458, 641, 2452])).
% 41.02/26.64 tff(2460,plain,
% 41.02/26.64 (v90(constB14, bitIndex2)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2459, 2438])).
% 41.02/26.64 tff(2461,plain,
% 41.02/26.64 ((~v1(constB15)) <=> (~v1(constB15))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2462,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 41.02/26.64 tff(2463,plain,
% 41.02/26.64 (~v1(constB15)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2462, 2461])).
% 41.02/26.64 tff(2464,plain,
% 41.02/26.64 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2465,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 41.02/26.64 tff(2466,plain,
% 41.02/26.64 (nextState(constB14, constB15)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 41.02/26.64 tff(2467,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2468,plain,
% 41.02/26.64 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2469,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 41.02/26.64 inference(monotonicity,[status(thm)],[2468])).
% 41.02/26.64 tff(2470,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 41.02/26.64 inference(transitivity,[status(thm)],[2469, 2467])).
% 41.02/26.64 tff(2471,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2472,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2471, 2470])).
% 41.02/26.64 tff(2473,plain,
% 41.02/26.64 (~v101(constB15)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2472, 391, 2466, 2463])).
% 41.02/26.64 tff(2474,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2475,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2476,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2475, 2474])).
% 41.02/26.64 tff(2477,plain,
% 41.02/26.64 (v101(constB15) | (~v100(constB15))),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2476, 408, 2466])).
% 41.02/26.64 tff(2478,plain,
% 41.02/26.64 (~v100(constB15)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2477, 2473])).
% 41.02/26.64 tff(2479,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2480,plain,
% 41.02/26.64 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2)) <=> ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2481,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2)))),
% 41.02/26.64 inference(monotonicity,[status(thm)],[2480])).
% 41.02/26.64 tff(2482,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 41.02/26.64 inference(transitivity,[status(thm)],[2481, 2479])).
% 41.02/26.64 tff(2483,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2484,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 41.02/26.64 tff(2485,plain,
% 41.02/26.64 ((~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2484, 783, 2466])).
% 41.02/26.64 tff(2486,plain,
% 41.02/26.64 ((~v90(constB14, bitIndex2)) | v90(constB15, bitIndex2)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2485, 2478])).
% 41.02/26.64 tff(2487,plain,
% 41.02/26.64 (v90(constB15, bitIndex2)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2486, 2460])).
% 41.02/26.64 tff(2488,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB13)) | v130(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB13)) | v130(constB13, bitIndex1))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2489,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB13)) | v130(constB13, bitIndex1))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2490,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB13)) | v130(constB13, bitIndex1)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2489, 2488])).
% 41.02/26.64 tff(2491,plain,
% 41.02/26.64 (v130(constB13, bitIndex1)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2490, 1130, 2365])).
% 41.02/26.64 tff(2492,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2493,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2494,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2493, 2492])).
% 41.02/26.64 tff(2495,plain,
% 41.02/26.64 (v26(constB13) | v127(constB13, bitIndex1)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2494, 1144, 2491])).
% 41.02/26.64 tff(2496,plain,
% 41.02/26.64 (v127(constB13, bitIndex1)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2495, 366])).
% 41.02/26.64 tff(2497,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2498,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2499,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 41.02/26.64 tff(2500,plain,
% 41.02/26.64 ((~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2499, 1159, 2398])).
% 41.02/26.64 tff(2501,plain,
% 41.02/26.64 (v129(constB14, bitIndex1)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2500, 2496])).
% 41.02/26.64 tff(2502,plain,
% 41.02/26.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2503,plain,
% 41.02/26.64 ((v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2504,plain,
% 41.02/26.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14))))),
% 41.02/26.64 inference(monotonicity,[status(thm)],[2503])).
% 41.02/26.64 tff(2505,plain,
% 41.02/26.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 41.02/26.64 inference(transitivity,[status(thm)],[2504, 2502])).
% 41.02/26.64 tff(2506,plain,
% 41.02/26.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2507,plain,
% 41.02/26.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 41.02/26.64 tff(2508,plain,
% 41.02/26.64 (v90(constB14, bitIndex1) | (~v100(constB14))),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2507, 1174, 2501])).
% 41.02/26.64 tff(2509,plain,
% 41.02/26.64 (v90(constB14, bitIndex1)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2508, 2438])).
% 41.02/26.64 tff(2510,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2511,plain,
% 41.02/26.64 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2512,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1)))),
% 41.02/26.64 inference(monotonicity,[status(thm)],[2511])).
% 41.02/26.64 tff(2513,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 41.02/26.64 inference(transitivity,[status(thm)],[2512, 2510])).
% 41.02/26.64 tff(2514,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2515,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2514, 2513])).
% 41.02/26.64 tff(2516,plain,
% 41.02/26.64 ((~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2515, 1192, 2466])).
% 41.02/26.64 tff(2517,plain,
% 41.02/26.64 ((~v90(constB14, bitIndex1)) | v90(constB15, bitIndex1)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2516, 2478])).
% 41.02/26.64 tff(2518,plain,
% 41.02/26.64 (v90(constB15, bitIndex1)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2517, 2509])).
% 41.02/26.64 tff(2519,assumption,(v127(constB13, bitIndex0)), introduced(assumption)).
% 41.02/26.64 tff(2520,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB13)) | (~v130(constB13, bitIndex0)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2521,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex0)))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2522,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB13)) | (~v130(constB13, bitIndex0))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 41.02/26.64 tff(2523,plain,
% 41.02/26.64 (~v130(constB13, bitIndex0)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2522, 1208, 2365])).
% 41.02/26.64 tff(2524,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2525,plain,
% 41.02/26.64 ((v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0))) <=> ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2526,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0)))),
% 41.02/26.64 inference(monotonicity,[status(thm)],[2525])).
% 41.02/26.64 tff(2527,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 41.02/26.64 inference(transitivity,[status(thm)],[2526, 2524])).
% 41.02/26.64 tff(2528,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2529,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2528, 2527])).
% 41.02/26.64 tff(2530,plain,
% 41.02/26.64 ((~v127(constB13, bitIndex0)) | v26(constB13)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2529, 907, 2523])).
% 41.02/26.64 tff(2531,plain,
% 41.02/26.64 (v26(constB13)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2530, 2519])).
% 41.02/26.64 tff(2532,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v127(constB13, bitIndex0)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2533,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v127(constB13, bitIndex0)))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2534,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v127(constB13, bitIndex0))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 41.02/26.64 tff(2535,plain,
% 41.02/26.64 ($false),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2534, 922, 2519, 2531])).
% 41.02/26.64 tff(2536,plain,(~v127(constB13, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 41.02/26.64 tff(2537,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2538,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2539,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 41.02/26.64 tff(2540,plain,
% 41.02/26.64 (v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2539, 937, 2398])).
% 41.02/26.64 tff(2541,plain,
% 41.02/26.64 (~v129(constB14, bitIndex0)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2540, 2536])).
% 41.02/26.64 tff(2542,plain,
% 41.02/26.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2543,plain,
% 41.02/26.64 (((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2544,plain,
% 41.02/26.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))))),
% 41.02/26.64 inference(monotonicity,[status(thm)],[2543])).
% 41.02/26.64 tff(2545,plain,
% 41.02/26.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 41.02/26.64 inference(transitivity,[status(thm)],[2544, 2542])).
% 41.02/26.64 tff(2546,plain,
% 41.02/26.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2547,plain,
% 41.02/26.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2546, 2545])).
% 41.02/26.64 tff(2548,plain,
% 41.02/26.64 ((~v90(constB14, bitIndex0)) | (~v100(constB14))),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2547, 952, 2541])).
% 41.02/26.64 tff(2549,plain,
% 41.02/26.64 (~v90(constB14, bitIndex0)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2548, 2438])).
% 41.02/26.64 tff(2550,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2551,plain,
% 41.02/26.64 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2552,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))))),
% 41.02/26.64 inference(monotonicity,[status(thm)],[2551])).
% 41.02/26.64 tff(2553,plain,
% 41.02/26.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 41.02/26.64 inference(transitivity,[status(thm)],[2552, 2550])).
% 41.02/26.64 tff(2554,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2555,plain,
% 41.02/26.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 41.02/26.64 tff(2556,plain,
% 41.02/26.64 (v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2555, 465, 2466])).
% 41.02/26.64 tff(2557,plain,
% 41.02/26.64 (v90(constB14, bitIndex0) | (~v90(constB15, bitIndex0))),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2556, 2478])).
% 41.02/26.64 tff(2558,plain,
% 41.02/26.64 (~v90(constB15, bitIndex0)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2557, 2549])).
% 41.02/26.64 tff(2559,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2560,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2561,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 41.02/26.64 tff(2562,plain,
% 41.02/26.64 (v125(constB15)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2561, 1252, 2558, 2518, 2487])).
% 41.02/26.64 tff(2563,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB15)) | v113(constB15))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2564,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB15)) | v113(constB15))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2565,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB15)) | v113(constB15)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 41.02/26.64 tff(2566,plain,
% 41.02/26.64 (v113(constB15)),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2565, 1263, 2562])).
% 41.02/26.64 tff(2567,assumption,(v26(constB15)), introduced(assumption)).
% 41.02/26.64 tff(2568,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2569,plain,
% 41.02/26.64 ($false),
% 41.02/26.64 inference(unit_resolution,[status(thm)],[2568, 95, 2567])).
% 41.02/26.64 tff(2570,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 41.02/26.64 tff(2571,plain,
% 41.02/26.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 41.02/26.64 inference(rewrite,[status(thm)],[])).
% 41.02/26.64 tff(2572,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 41.02/26.64 inference(quant_inst,[status(thm)],[])).
% 41.02/26.64 tff(2573,plain,
% 41.02/26.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15)),
% 41.02/26.64 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 41.02/26.64 tff(2574,plain,
% 41.02/26.65 ((~v113(constB15)) | v112(constB15)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2573, 581, 2570])).
% 41.02/26.65 tff(2575,plain,
% 41.02/26.65 (v112(constB15)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2574, 2566])).
% 41.02/26.65 tff(2576,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2577,plain,
% 41.02/26.65 (((~v112(constB15)) | v108(constB15)) <=> (v108(constB15) | (~v112(constB15)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2578,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15))))),
% 41.02/26.65 inference(monotonicity,[status(thm)],[2577])).
% 41.02/26.65 tff(2579,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 41.02/26.65 inference(transitivity,[status(thm)],[2578, 2576])).
% 41.02/26.65 tff(2580,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2581,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 41.02/26.65 tff(2582,plain,
% 41.02/26.65 (v108(constB15)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2581, 746, 2575])).
% 41.02/26.65 tff(2583,plain,
% 41.02/26.65 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2584,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 41.02/26.65 tff(2585,plain,
% 41.02/26.65 (nextState(constB15, constB16)),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 41.02/26.65 tff(2586,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2587,plain,
% 41.02/26.65 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2588,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 41.02/26.65 inference(monotonicity,[status(thm)],[2587])).
% 41.02/26.65 tff(2589,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 41.02/26.65 inference(transitivity,[status(thm)],[2588, 2586])).
% 41.02/26.65 tff(2590,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2591,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 41.02/26.65 tff(2592,plain,
% 41.02/26.65 (v110(constB16) | (~v108(constB15))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2591, 731, 2585])).
% 41.02/26.65 tff(2593,plain,
% 41.02/26.65 (v110(constB16)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2592, 2582])).
% 41.02/26.65 tff(2594,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2595,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2596,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 41.02/26.65 tff(2597,plain,
% 41.02/26.65 (~v104(constB16)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2596, 659, 2585, 2463])).
% 41.02/26.65 tff(2598,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2599,plain,
% 41.02/26.65 (((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)) <=> ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2600,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16)))),
% 41.02/26.65 inference(monotonicity,[status(thm)],[2599])).
% 41.02/26.65 tff(2601,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 41.02/26.65 inference(transitivity,[status(thm)],[2600, 2598])).
% 41.02/26.65 tff(2602,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2603,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16)),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2602, 2601])).
% 41.02/26.65 tff(2604,plain,
% 41.02/26.65 (v104(constB16) | v102(constB16)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2603, 673, 2585])).
% 41.02/26.65 tff(2605,plain,
% 41.02/26.65 (v102(constB16)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2604, 2597])).
% 41.02/26.65 tff(2606,plain,
% 41.02/26.65 (v1(constB16) <=> v1(constB16)),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2607,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 41.02/26.65 tff(2608,plain,
% 41.02/26.65 (v1(constB16)),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 41.02/26.65 tff(2609,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2610,plain,
% 41.02/26.65 (((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))) <=> ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2611,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16))))),
% 41.02/26.65 inference(monotonicity,[status(thm)],[2610])).
% 41.02/26.65 tff(2612,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 41.02/26.65 inference(transitivity,[status(thm)],[2611, 2609])).
% 41.02/26.65 tff(2613,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2614,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2613, 2612])).
% 41.02/26.65 tff(2615,plain,
% 41.02/26.65 (v101(constB16) | (~v102(constB16))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2614, 694, 2585, 2608])).
% 41.02/26.65 tff(2616,plain,
% 41.02/26.65 (v101(constB16)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2615, 2605])).
% 41.02/26.65 tff(2617,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2618,plain,
% 41.02/26.65 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2619,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 41.02/26.65 inference(monotonicity,[status(thm)],[2618])).
% 41.02/26.65 tff(2620,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 41.02/26.65 inference(transitivity,[status(thm)],[2619, 2617])).
% 41.02/26.65 tff(2621,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2622,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2621, 2620])).
% 41.02/26.65 tff(2623,plain,
% 41.02/26.65 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2622, 712, 2585])).
% 41.02/26.65 tff(2624,plain,
% 41.02/26.65 (v100(constB16) | (~v110(constB16))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2623, 2616])).
% 41.02/26.65 tff(2625,plain,
% 41.02/26.65 (v100(constB16)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2624, 2593])).
% 41.02/26.65 tff(2626,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v90(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v90(constB15, bitIndex2)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2627,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v90(constB15, bitIndex2)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2628,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v90(constB15, bitIndex2))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 41.02/26.65 tff(2629,plain,
% 41.02/26.65 (~v121(constB15)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2628, 1336, 2487])).
% 41.02/26.65 tff(2630,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB15)) | (~v90(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB15)) | (~v90(constB15, bitIndex2)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2631,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB15)) | (~v90(constB15, bitIndex2)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2632,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB15)) | (~v90(constB15, bitIndex2))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 41.02/26.65 tff(2633,plain,
% 41.02/26.65 (~v122(constB15)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2632, 1347, 2487])).
% 41.02/26.65 tff(2634,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB15)) | (~v90(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB15)) | (~v90(constB15, bitIndex1)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2635,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB15)) | (~v90(constB15, bitIndex1)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2636,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB15)) | (~v90(constB15, bitIndex1))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2635, 2634])).
% 41.02/26.65 tff(2637,plain,
% 41.02/26.65 (~v124(constB15)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2636, 1369, 2518])).
% 41.02/26.65 tff(2638,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB15)) | (~v90(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB15)) | (~v90(constB15, bitIndex1)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2639,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB15)) | (~v90(constB15, bitIndex1)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2640,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB15)) | (~v90(constB15, bitIndex1))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2639, 2638])).
% 41.02/26.65 tff(2641,plain,
% 41.02/26.65 (~v123(constB15)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2640, 1358, 2518])).
% 41.02/26.65 tff(2642,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB15)) | (~v90(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB15)) | (~v90(constB15, bitIndex1)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2643,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB15)) | (~v90(constB15, bitIndex1)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2644,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB15)) | (~v90(constB15, bitIndex1))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2643, 2642])).
% 41.02/26.65 tff(2645,plain,
% 41.02/26.65 (~v120(constB15)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2644, 1391, 2518])).
% 41.02/26.65 tff(2646,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v90(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v90(constB15, bitIndex1)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2647,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v90(constB15, bitIndex1)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2648,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v90(constB15, bitIndex1))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 41.02/26.65 tff(2649,plain,
% 41.02/26.65 (~v119(constB15)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2648, 1380, 2518])).
% 41.02/26.65 tff(2650,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2651,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2652,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2651, 2650])).
% 41.02/26.65 tff(2653,plain,
% 41.02/26.65 (~v130(constB15, bitIndex2)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2652, 1405, 2649, 2645, 2641, 2637, 2633, 2629])).
% 41.02/26.65 tff(2654,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2655,plain,
% 41.02/26.65 ((v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2))) <=> ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2656,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)))),
% 41.02/26.65 inference(monotonicity,[status(thm)],[2655])).
% 41.02/26.65 tff(2657,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 41.02/26.65 inference(transitivity,[status(thm)],[2656, 2654])).
% 41.02/26.65 tff(2658,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2659,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2658, 2657])).
% 41.02/26.65 tff(2660,plain,
% 41.02/26.65 ((~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2659, 1419, 2570])).
% 41.02/26.65 tff(2661,plain,
% 41.02/26.65 (~v127(constB15, bitIndex2)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2660, 2653])).
% 41.02/26.65 tff(2662,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2663,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2664,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2663, 2662])).
% 41.02/26.65 tff(2665,plain,
% 41.02/26.65 (v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2664, 1437, 2585])).
% 41.02/26.65 tff(2666,plain,
% 41.02/26.65 (~v129(constB16, bitIndex2)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2665, 2661])).
% 41.02/26.65 tff(2667,plain,
% 41.02/26.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2668,plain,
% 41.02/26.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2669,plain,
% 41.02/26.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 41.02/26.65 tff(2670,plain,
% 41.02/26.65 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2669, 1452, 2666])).
% 41.02/26.65 tff(2671,plain,
% 41.02/26.65 (~v90(constB16, bitIndex2)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2670, 2625])).
% 41.02/26.65 tff(2672,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2673,plain,
% 41.02/26.65 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2674,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 41.02/26.65 inference(monotonicity,[status(thm)],[2673])).
% 41.02/26.65 tff(2675,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 41.02/26.65 inference(transitivity,[status(thm)],[2674, 2672])).
% 41.02/26.65 tff(2676,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2677,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 41.02/26.65 tff(2678,plain,
% 41.02/26.65 (~v101(constB17)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2677, 391, 308, 216])).
% 41.02/26.65 tff(2679,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2680,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2681,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 41.02/26.65 tff(2682,plain,
% 41.02/26.65 (v101(constB17) | (~v100(constB17))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2681, 408, 308])).
% 41.02/26.65 tff(2683,plain,
% 41.02/26.65 (~v100(constB17)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2682, 2678])).
% 41.02/26.65 tff(2684,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2685,plain,
% 41.02/26.65 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))) <=> (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2686,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))))),
% 41.02/26.65 inference(monotonicity,[status(thm)],[2685])).
% 41.02/26.65 tff(2687,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 41.02/26.65 inference(transitivity,[status(thm)],[2686, 2684])).
% 41.02/26.65 tff(2688,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2689,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 41.02/26.65 tff(2690,plain,
% 41.02/26.65 (v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2689, 423, 308])).
% 41.02/26.65 tff(2691,plain,
% 41.02/26.65 (v90(constB16, bitIndex2) | (~v90(constB17, bitIndex2))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2690, 2683])).
% 41.02/26.65 tff(2692,plain,
% 41.02/26.65 (~v90(constB17, bitIndex2)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2691, 2671])).
% 41.02/26.65 tff(2693,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2694,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2695,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2694, 2693])).
% 41.02/26.65 tff(2696,plain,
% 41.02/26.65 (~v130(constB15, bitIndex1)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2695, 1494, 2649, 2645, 2641, 2637, 2633, 2629])).
% 41.02/26.65 tff(2697,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2698,plain,
% 41.02/26.65 ((v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1))) <=> ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2699,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)))),
% 41.02/26.65 inference(monotonicity,[status(thm)],[2698])).
% 41.02/26.65 tff(2700,plain,
% 41.02/26.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 41.02/26.65 inference(transitivity,[status(thm)],[2699, 2697])).
% 41.02/26.65 tff(2701,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2702,plain,
% 41.02/26.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 41.02/26.65 tff(2703,plain,
% 41.02/26.65 ((~v127(constB15, bitIndex1)) | v130(constB15, bitIndex1)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2702, 823, 2570])).
% 41.02/26.65 tff(2704,plain,
% 41.02/26.65 (~v127(constB15, bitIndex1)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2703, 2696])).
% 41.02/26.65 tff(2705,plain,
% 41.02/26.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 41.02/26.65 inference(rewrite,[status(thm)],[])).
% 41.02/26.65 tff(2706,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 41.02/26.65 inference(quant_inst,[status(thm)],[])).
% 41.02/26.65 tff(2707,plain,
% 41.02/26.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 41.02/26.65 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 41.02/26.65 tff(2708,plain,
% 41.02/26.65 (v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2707, 853, 2585])).
% 41.02/26.65 tff(2709,plain,
% 41.02/26.65 (~v129(constB16, bitIndex1)),
% 41.02/26.65 inference(unit_resolution,[status(thm)],[2708, 2704])).
% 41.02/26.65 tff(2710,plain,
% 41.02/26.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2711,plain,
% 41.02/26.66 (((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2712,plain,
% 41.02/26.66 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2711])).
% 41.02/26.66 tff(2713,plain,
% 41.02/26.66 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2712, 2710])).
% 41.02/26.66 tff(2714,plain,
% 41.02/26.66 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2715,plain,
% 41.02/26.66 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2714, 2713])).
% 41.02/26.66 tff(2716,plain,
% 41.02/26.66 ((~v90(constB16, bitIndex1)) | (~v100(constB16))),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2715, 868, 2709])).
% 41.02/26.66 tff(2717,plain,
% 41.02/26.66 (~v90(constB16, bitIndex1)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2716, 2625])).
% 41.02/26.66 tff(2718,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2719,plain,
% 41.02/26.66 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2720,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2719])).
% 41.02/26.66 tff(2721,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2720, 2718])).
% 41.02/26.66 tff(2722,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2723,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 41.02/26.66 tff(2724,plain,
% 41.02/26.66 (v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2723, 444, 308])).
% 41.02/26.66 tff(2725,plain,
% 41.02/26.66 (v90(constB16, bitIndex1) | (~v90(constB17, bitIndex1))),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2724, 2683])).
% 41.02/26.66 tff(2726,plain,
% 41.02/26.66 (~v90(constB17, bitIndex1)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2725, 2717])).
% 41.02/26.66 tff(2727,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2728,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2729,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0)),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2728, 2727])).
% 41.02/26.66 tff(2730,plain,
% 41.02/26.66 (v130(constB15, bitIndex0)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2729, 1538, 2649, 2645, 2641, 2637, 2633, 2629])).
% 41.02/26.66 tff(2731,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2732,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2733,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0)),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 41.02/26.66 tff(2734,plain,
% 41.02/26.66 ((~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2733, 1552, 2570])).
% 41.02/26.66 tff(2735,plain,
% 41.02/26.66 (v127(constB15, bitIndex0)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2734, 2730])).
% 41.02/26.66 tff(2736,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2737,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2738,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0)),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2737, 2736])).
% 41.02/26.66 tff(2739,plain,
% 41.02/26.66 ((~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2738, 1567, 2585])).
% 41.02/26.66 tff(2740,plain,
% 41.02/26.66 (v129(constB16, bitIndex0)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2739, 2735])).
% 41.02/26.66 tff(2741,plain,
% 41.02/26.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2742,plain,
% 41.02/26.66 ((v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2743,plain,
% 41.02/26.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2742])).
% 41.02/26.66 tff(2744,plain,
% 41.02/26.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2743, 2741])).
% 41.02/26.66 tff(2745,plain,
% 41.02/26.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2746,plain,
% 41.02/26.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 41.02/26.66 tff(2747,plain,
% 41.02/26.66 (v90(constB16, bitIndex0) | (~v100(constB16))),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2746, 1582, 2740])).
% 41.02/26.66 tff(2748,plain,
% 41.02/26.66 (v90(constB16, bitIndex0)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2747, 2625])).
% 41.02/26.66 tff(2749,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2750,plain,
% 41.02/26.66 (((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2751,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0)))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2750])).
% 41.02/26.66 tff(2752,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2751, 2749])).
% 41.02/26.66 tff(2753,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2754,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0)),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2753, 2752])).
% 41.02/26.66 tff(2755,plain,
% 41.02/26.66 ((~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2754, 1600, 308])).
% 41.02/26.66 tff(2756,plain,
% 41.02/26.66 ((~v90(constB16, bitIndex0)) | v90(constB17, bitIndex0)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2755, 2683])).
% 41.02/26.66 tff(2757,plain,
% 41.02/26.66 (v90(constB17, bitIndex0)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2756, 2748])).
% 41.02/26.66 tff(2758,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2759,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2760,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17)),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2759, 2758])).
% 41.02/26.66 tff(2761,plain,
% 41.02/26.66 (v120(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2760, 1619, 2757, 2726, 2692])).
% 41.02/26.66 tff(2762,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB17) | (~v120(constB17)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB17) | (~v120(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2763,plain,
% 41.02/26.66 (((~v120(constB17)) | v118(constB17)) <=> (v118(constB17) | (~v120(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2764,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB17)) | v118(constB17))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB17) | (~v120(constB17))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2763])).
% 41.02/26.66 tff(2765,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB17)) | v118(constB17))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB17) | (~v120(constB17)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2764, 2762])).
% 41.02/26.66 tff(2766,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB17)) | v118(constB17))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2767,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB17) | (~v120(constB17))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 41.02/26.66 tff(2768,plain,
% 41.02/26.66 (v118(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2767, 1630, 2761])).
% 41.02/26.66 tff(2769,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB17)) | v117(constB17))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB17)) | v117(constB17))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2770,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB17)) | v117(constB17))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2771,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB17)) | v117(constB17)),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2770, 2769])).
% 41.02/26.66 tff(2772,plain,
% 41.02/26.66 (v117(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2771, 511, 2768])).
% 41.02/26.66 tff(2773,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2774,plain,
% 41.02/26.66 (((~v117(constB17)) | v116(constB17)) <=> (v116(constB17) | (~v117(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2775,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2774])).
% 41.02/26.66 tff(2776,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2775, 2773])).
% 41.02/26.66 tff(2777,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2778,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2777, 2776])).
% 41.02/26.66 tff(2779,plain,
% 41.02/26.66 (v116(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2778, 525, 2772])).
% 41.02/26.66 tff(2780,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2781,plain,
% 41.02/26.66 (((~v116(constB17)) | v115(constB17)) <=> (v115(constB17) | (~v116(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2782,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB17) | (~v116(constB17))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2781])).
% 41.02/26.66 tff(2783,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2782, 2780])).
% 41.02/26.66 tff(2784,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2785,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 41.02/26.66 tff(2786,plain,
% 41.02/26.66 (v115(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2785, 539, 2779])).
% 41.02/26.66 tff(2787,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2788,plain,
% 41.02/26.66 (((~v115(constB17)) | v114(constB17)) <=> (v114(constB17) | (~v115(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2789,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2788])).
% 41.02/26.66 tff(2790,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2789, 2787])).
% 41.02/26.66 tff(2791,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2792,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2791, 2790])).
% 41.02/26.66 tff(2793,plain,
% 41.02/26.66 (v114(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2792, 553, 2786])).
% 41.02/26.66 tff(2794,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2795,plain,
% 41.02/26.66 (((~v114(constB17)) | v113(constB17)) <=> (v113(constB17) | (~v114(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2796,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB17) | (~v114(constB17))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2795])).
% 41.02/26.66 tff(2797,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2796, 2794])).
% 41.02/26.66 tff(2798,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2799,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2798, 2797])).
% 41.02/26.66 tff(2800,plain,
% 41.02/26.66 (v113(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2799, 567, 2793])).
% 41.02/26.66 tff(2801,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | v112(constB17) | (~v113(constB17)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2802,plain,
% 41.02/26.66 ((v26(constB17) | (~v113(constB17)) | v112(constB17)) <=> (v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2803,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | v112(constB17) | (~v113(constB17))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2802])).
% 41.02/26.66 tff(2804,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2803, 2801])).
% 41.02/26.66 tff(2805,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2806,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2805, 2804])).
% 41.02/26.66 tff(2807,plain,
% 41.02/26.66 (v26(constB17) | v112(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2806, 581, 2800])).
% 41.02/26.66 tff(2808,plain,
% 41.02/26.66 (v112(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2807, 362])).
% 41.02/26.66 tff(2809,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2810,plain,
% 41.02/26.66 (((~v112(constB17)) | v108(constB17)) <=> (v108(constB17) | (~v112(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2811,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2810])).
% 41.02/26.66 tff(2812,plain,
% 41.02/26.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2811, 2809])).
% 41.02/26.66 tff(2813,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2814,plain,
% 41.02/26.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2813, 2812])).
% 41.02/26.66 tff(2815,plain,
% 41.02/26.66 (v108(constB17)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2814, 746, 2808])).
% 41.02/26.66 tff(2816,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2817,plain,
% 41.02/26.66 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2818,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2817])).
% 41.02/26.66 tff(2819,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2818, 2816])).
% 41.02/26.66 tff(2820,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2821,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 41.02/26.66 tff(2822,plain,
% 41.02/26.66 (v110(constB18) | (~v108(constB17))),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2821, 731, 187])).
% 41.02/26.66 tff(2823,plain,
% 41.02/26.66 (v110(constB18)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2822, 2815])).
% 41.02/26.66 tff(2824,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2825,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2826,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2825, 2824])).
% 41.02/26.66 tff(2827,plain,
% 41.02/26.66 (~v104(constB18)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2826, 659, 187, 216])).
% 41.02/26.66 tff(2828,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2829,plain,
% 41.02/26.66 (((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)) <=> ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2830,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18)))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2829])).
% 41.02/26.66 tff(2831,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2830, 2828])).
% 41.02/26.66 tff(2832,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2833,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18)),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2832, 2831])).
% 41.02/26.66 tff(2834,plain,
% 41.02/26.66 (v104(constB18) | v102(constB18)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2833, 673, 187])).
% 41.02/26.66 tff(2835,plain,
% 41.02/26.66 (v102(constB18)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2834, 2827])).
% 41.02/26.66 tff(2836,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2837,plain,
% 41.02/26.66 (((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))) <=> ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2838,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18))))),
% 41.02/26.66 inference(monotonicity,[status(thm)],[2837])).
% 41.02/26.66 tff(2839,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 41.02/26.66 inference(transitivity,[status(thm)],[2838, 2836])).
% 41.02/26.66 tff(2840,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 41.02/26.66 inference(quant_inst,[status(thm)],[])).
% 41.02/26.66 tff(2841,plain,
% 41.02/26.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18))),
% 41.02/26.66 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 41.02/26.66 tff(2842,plain,
% 41.02/26.66 (v101(constB18) | (~v102(constB18))),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2841, 694, 187, 144])).
% 41.02/26.66 tff(2843,plain,
% 41.02/26.66 (v101(constB18)),
% 41.02/26.66 inference(unit_resolution,[status(thm)],[2842, 2835])).
% 41.02/26.66 tff(2844,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2845,plain,
% 41.02/26.66 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 41.02/26.66 inference(rewrite,[status(thm)],[])).
% 41.02/26.66 tff(2846,plain,
% 41.02/26.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 41.02/26.67 inference(monotonicity,[status(thm)],[2845])).
% 41.02/26.67 tff(2847,plain,
% 41.02/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 41.02/26.67 inference(transitivity,[status(thm)],[2846, 2844])).
% 41.02/26.67 tff(2848,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2849,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 41.02/26.67 tff(2850,plain,
% 41.02/26.67 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2849, 712, 187])).
% 41.02/26.67 tff(2851,plain,
% 41.02/26.67 (v100(constB18) | (~v110(constB18))),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2850, 2843])).
% 41.02/26.67 tff(2852,plain,
% 41.02/26.67 (v100(constB18)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2851, 2823])).
% 41.02/26.67 tff(2853,plain,
% 41.02/26.67 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2854,plain,
% 41.02/26.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2855,plain,
% 41.02/26.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2))),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 41.02/26.67 tff(2856,plain,
% 41.02/26.67 (~v130(constB17, bitIndex2)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2855, 1732, 2761])).
% 41.02/26.67 tff(2857,plain,
% 41.02/26.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2858,plain,
% 41.02/26.67 ((v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2))) <=> ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2859,plain,
% 41.02/26.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)))),
% 41.02/26.67 inference(monotonicity,[status(thm)],[2858])).
% 41.02/26.67 tff(2860,plain,
% 41.02/26.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 41.02/26.67 inference(transitivity,[status(thm)],[2859, 2857])).
% 41.02/26.67 tff(2861,plain,
% 41.02/26.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2862,plain,
% 41.02/26.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2861, 2860])).
% 41.02/26.67 tff(2863,plain,
% 41.02/26.67 ((~v127(constB17, bitIndex2)) | v26(constB17)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2862, 1419, 2856])).
% 41.02/26.67 tff(2864,plain,
% 41.02/26.67 (~v127(constB17, bitIndex2)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2863, 362])).
% 41.02/26.67 tff(2865,plain,
% 41.02/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2866,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2867,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2866, 2865])).
% 41.02/26.67 tff(2868,plain,
% 41.02/26.67 (v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2867, 1437, 187])).
% 41.02/26.67 tff(2869,plain,
% 41.02/26.67 (~v129(constB18, bitIndex2)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2868, 2864])).
% 41.02/26.67 tff(2870,plain,
% 41.02/26.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2871,plain,
% 41.02/26.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2872,plain,
% 41.02/26.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2871, 2870])).
% 41.02/26.67 tff(2873,plain,
% 41.02/26.67 ((~v90(constB18, bitIndex2)) | (~v100(constB18))),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2872, 1452, 2869])).
% 41.02/26.67 tff(2874,plain,
% 41.02/26.67 (~v90(constB18, bitIndex2)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2873, 2852])).
% 41.02/26.67 tff(2875,plain,
% 41.02/26.67 ((~v1(constB19)) <=> (~v1(constB19))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2876,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 41.02/26.67 tff(2877,plain,
% 41.02/26.67 (~v1(constB19)),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 41.02/26.67 tff(2878,plain,
% 41.02/26.67 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2879,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 41.02/26.67 tff(2880,plain,
% 41.02/26.67 (nextState(constB18, constB19)),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2879, 2878])).
% 41.02/26.67 tff(2881,plain,
% 41.02/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2882,plain,
% 41.02/26.67 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2883,plain,
% 41.02/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 41.02/26.67 inference(monotonicity,[status(thm)],[2882])).
% 41.02/26.67 tff(2884,plain,
% 41.02/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 41.02/26.67 inference(transitivity,[status(thm)],[2883, 2881])).
% 41.02/26.67 tff(2885,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2886,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2885, 2884])).
% 41.02/26.67 tff(2887,plain,
% 41.02/26.67 (~v101(constB19)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2886, 391, 2880, 2877])).
% 41.02/26.67 tff(2888,plain,
% 41.02/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2889,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2890,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2889, 2888])).
% 41.02/26.67 tff(2891,plain,
% 41.02/26.67 (v101(constB19) | (~v100(constB19))),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2890, 408, 2880])).
% 41.02/26.67 tff(2892,plain,
% 41.02/26.67 (~v100(constB19)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2891, 2887])).
% 41.02/26.67 tff(2893,plain,
% 41.02/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2894,plain,
% 41.02/26.67 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2895,plain,
% 41.02/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))))),
% 41.02/26.67 inference(monotonicity,[status(thm)],[2894])).
% 41.02/26.67 tff(2896,plain,
% 41.02/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 41.02/26.67 inference(transitivity,[status(thm)],[2895, 2893])).
% 41.02/26.67 tff(2897,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2898,plain,
% 41.02/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2897, 2896])).
% 41.02/26.67 tff(2899,plain,
% 41.02/26.67 (v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2898, 423, 2880])).
% 41.02/26.67 tff(2900,plain,
% 41.02/26.67 (v90(constB18, bitIndex2) | (~v90(constB19, bitIndex2))),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2899, 2892])).
% 41.02/26.67 tff(2901,plain,
% 41.02/26.67 (~v90(constB19, bitIndex2)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2900, 2874])).
% 41.02/26.67 tff(2902,plain,
% 41.02/26.67 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB17)) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB17)) | v130(constB17, bitIndex1))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2903,plain,
% 41.02/26.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB17)) | v130(constB17, bitIndex1))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2904,plain,
% 41.02/26.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB17)) | v130(constB17, bitIndex1)),
% 41.02/26.67 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 41.02/26.67 tff(2905,plain,
% 41.02/26.67 (v130(constB17, bitIndex1)),
% 41.02/26.67 inference(unit_resolution,[status(thm)],[2904, 1788, 2761])).
% 41.02/26.67 tff(2906,plain,
% 41.02/26.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 41.02/26.67 inference(rewrite,[status(thm)],[])).
% 41.02/26.67 tff(2907,plain,
% 41.02/26.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 41.02/26.67 inference(quant_inst,[status(thm)],[])).
% 41.02/26.67 tff(2908,plain,
% 41.02/26.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 41.08/26.67 inference(modus_ponens,[status(thm)],[2907, 2906])).
% 41.08/26.67 tff(2909,plain,
% 41.08/26.67 (v26(constB17) | v127(constB17, bitIndex1)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2908, 1144, 2905])).
% 41.08/26.67 tff(2910,plain,
% 41.08/26.67 (v127(constB17, bitIndex1)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2909, 362])).
% 41.08/26.67 tff(2911,plain,
% 41.08/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2912,plain,
% 41.08/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 41.08/26.67 inference(quant_inst,[status(thm)],[])).
% 41.08/26.67 tff(2913,plain,
% 41.08/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 41.08/26.67 inference(modus_ponens,[status(thm)],[2912, 2911])).
% 41.08/26.67 tff(2914,plain,
% 41.08/26.67 ((~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2913, 1159, 187])).
% 41.08/26.67 tff(2915,plain,
% 41.08/26.67 (v129(constB18, bitIndex1)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2914, 2910])).
% 41.08/26.67 tff(2916,plain,
% 41.08/26.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2917,plain,
% 41.08/26.67 ((v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2918,plain,
% 41.08/26.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))))),
% 41.08/26.67 inference(monotonicity,[status(thm)],[2917])).
% 41.08/26.67 tff(2919,plain,
% 41.08/26.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 41.08/26.67 inference(transitivity,[status(thm)],[2918, 2916])).
% 41.08/26.67 tff(2920,plain,
% 41.08/26.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))),
% 41.08/26.67 inference(quant_inst,[status(thm)],[])).
% 41.08/26.67 tff(2921,plain,
% 41.08/26.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))),
% 41.08/26.67 inference(modus_ponens,[status(thm)],[2920, 2919])).
% 41.08/26.67 tff(2922,plain,
% 41.08/26.67 (v90(constB18, bitIndex1) | (~v100(constB18))),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2921, 1174, 2915])).
% 41.08/26.67 tff(2923,plain,
% 41.08/26.67 (v90(constB18, bitIndex1)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2922, 2852])).
% 41.08/26.67 tff(2924,plain,
% 41.08/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2925,plain,
% 41.08/26.67 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2926,plain,
% 41.08/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)))),
% 41.08/26.67 inference(monotonicity,[status(thm)],[2925])).
% 41.08/26.67 tff(2927,plain,
% 41.08/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 41.08/26.67 inference(transitivity,[status(thm)],[2926, 2924])).
% 41.08/26.67 tff(2928,plain,
% 41.08/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))),
% 41.08/26.67 inference(quant_inst,[status(thm)],[])).
% 41.08/26.67 tff(2929,plain,
% 41.08/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)),
% 41.08/26.67 inference(modus_ponens,[status(thm)],[2928, 2927])).
% 41.08/26.67 tff(2930,plain,
% 41.08/26.67 ((~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2929, 1192, 2880])).
% 41.08/26.67 tff(2931,plain,
% 41.08/26.67 ((~v90(constB18, bitIndex1)) | v90(constB19, bitIndex1)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2930, 2892])).
% 41.08/26.67 tff(2932,plain,
% 41.08/26.67 (v90(constB19, bitIndex1)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2931, 2923])).
% 41.08/26.67 tff(2933,plain,
% 41.08/26.67 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2934,plain,
% 41.08/26.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 41.08/26.67 inference(quant_inst,[status(thm)],[])).
% 41.08/26.67 tff(2935,plain,
% 41.08/26.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0))),
% 41.08/26.67 inference(modus_ponens,[status(thm)],[2934, 2933])).
% 41.08/26.67 tff(2936,plain,
% 41.08/26.67 (~v130(constB17, bitIndex0)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2935, 1826, 2761])).
% 41.08/26.67 tff(2937,plain,
% 41.08/26.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2938,plain,
% 41.08/26.67 ((v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0))) <=> ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2939,plain,
% 41.08/26.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)))),
% 41.08/26.67 inference(monotonicity,[status(thm)],[2938])).
% 41.08/26.67 tff(2940,plain,
% 41.08/26.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 41.08/26.67 inference(transitivity,[status(thm)],[2939, 2937])).
% 41.08/26.67 tff(2941,plain,
% 41.08/26.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))),
% 41.08/26.67 inference(quant_inst,[status(thm)],[])).
% 41.08/26.67 tff(2942,plain,
% 41.08/26.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)),
% 41.08/26.67 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 41.08/26.67 tff(2943,plain,
% 41.08/26.67 ((~v127(constB17, bitIndex0)) | v26(constB17)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2942, 907, 2936])).
% 41.08/26.67 tff(2944,plain,
% 41.08/26.67 (~v127(constB17, bitIndex0)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2943, 362])).
% 41.08/26.67 tff(2945,plain,
% 41.08/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2946,plain,
% 41.08/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 41.08/26.67 inference(quant_inst,[status(thm)],[])).
% 41.08/26.67 tff(2947,plain,
% 41.08/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 41.08/26.67 inference(modus_ponens,[status(thm)],[2946, 2945])).
% 41.08/26.67 tff(2948,plain,
% 41.08/26.67 (v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2947, 937, 187])).
% 41.08/26.67 tff(2949,plain,
% 41.08/26.67 (~v129(constB18, bitIndex0)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2948, 2944])).
% 41.08/26.67 tff(2950,plain,
% 41.08/26.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2951,plain,
% 41.08/26.67 (((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2952,plain,
% 41.08/26.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))))),
% 41.08/26.67 inference(monotonicity,[status(thm)],[2951])).
% 41.08/26.67 tff(2953,plain,
% 41.08/26.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 41.08/26.67 inference(transitivity,[status(thm)],[2952, 2950])).
% 41.08/26.67 tff(2954,plain,
% 41.08/26.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))),
% 41.08/26.67 inference(quant_inst,[status(thm)],[])).
% 41.08/26.67 tff(2955,plain,
% 41.08/26.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))),
% 41.08/26.67 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 41.08/26.67 tff(2956,plain,
% 41.08/26.67 ((~v90(constB18, bitIndex0)) | (~v100(constB18))),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2955, 952, 2949])).
% 41.08/26.67 tff(2957,plain,
% 41.08/26.67 (~v90(constB18, bitIndex0)),
% 41.08/26.67 inference(unit_resolution,[status(thm)],[2956, 2852])).
% 41.08/26.67 tff(2958,plain,
% 41.08/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2959,plain,
% 41.08/26.67 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 41.08/26.67 inference(rewrite,[status(thm)],[])).
% 41.08/26.67 tff(2960,plain,
% 41.08/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))))),
% 41.08/26.67 inference(monotonicity,[status(thm)],[2959])).
% 41.08/26.67 tff(2961,plain,
% 41.08/26.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 41.08/26.67 inference(transitivity,[status(thm)],[2960, 2958])).
% 41.08/26.67 tff(2962,plain,
% 41.08/26.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(2963,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 41.08/26.68 tff(2964,plain,
% 41.08/26.68 (v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[2963, 465, 2880])).
% 41.08/26.68 tff(2965,plain,
% 41.08/26.68 (v90(constB18, bitIndex0) | (~v90(constB19, bitIndex0))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[2964, 2892])).
% 41.08/26.68 tff(2966,plain,
% 41.08/26.68 (~v90(constB19, bitIndex0)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[2965, 2957])).
% 41.08/26.68 tff(2967,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(2968,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(2969,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19)),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[2968, 2967])).
% 41.08/26.68 tff(2970,plain,
% 41.08/26.68 (v121(constB19)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[2969, 1870, 2966, 2932, 2901])).
% 41.08/26.68 tff(2971,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB19)) | v117(constB19))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB19)) | v117(constB19))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(2972,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB19)) | v117(constB19))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(2973,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB19)) | v117(constB19)),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 41.08/26.68 tff(2974,plain,
% 41.08/26.68 (v117(constB19)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[2973, 1881, 2970])).
% 41.08/26.68 tff(2975,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB19) | (~v117(constB19)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v117(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(2976,plain,
% 41.08/26.68 (((~v117(constB19)) | v116(constB19)) <=> (v116(constB19) | (~v117(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(2977,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB19) | (~v117(constB19))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[2976])).
% 41.08/26.68 tff(2978,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v117(constB19)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[2977, 2975])).
% 41.08/26.68 tff(2979,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB19)) | v116(constB19))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(2980,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v117(constB19))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[2979, 2978])).
% 41.08/26.68 tff(2981,plain,
% 41.08/26.68 (v116(constB19)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[2980, 525, 2974])).
% 41.08/26.68 tff(2982,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(2983,plain,
% 41.08/26.68 (((~v116(constB19)) | v115(constB19)) <=> (v115(constB19) | (~v116(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(2984,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[2983])).
% 41.08/26.68 tff(2985,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[2984, 2982])).
% 41.08/26.68 tff(2986,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(2987,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 41.08/26.68 tff(2988,plain,
% 41.08/26.68 (v115(constB19)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[2987, 539, 2981])).
% 41.08/26.68 tff(2989,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(2990,plain,
% 41.08/26.68 (((~v115(constB19)) | v114(constB19)) <=> (v114(constB19) | (~v115(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(2991,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[2990])).
% 41.08/26.68 tff(2992,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[2991, 2989])).
% 41.08/26.68 tff(2993,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(2994,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[2993, 2992])).
% 41.08/26.68 tff(2995,plain,
% 41.08/26.68 (v114(constB19)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[2994, 553, 2988])).
% 41.08/26.68 tff(2996,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB19)) | v113(constB19))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(2997,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(2998,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB19)) | v113(constB19)),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[2997, 2996])).
% 41.08/26.68 tff(2999,plain,
% 41.08/26.68 (v113(constB19)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[2998, 567, 2995])).
% 41.08/26.68 tff(3000,assumption,(v26(constB19)), introduced(assumption)).
% 41.08/26.68 tff(3001,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3002,plain,
% 41.08/26.68 ($false),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3001, 95, 3000])).
% 41.08/26.68 tff(3003,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 41.08/26.68 tff(3004,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3005,plain,
% 41.08/26.68 ((v26(constB19) | (~v113(constB19)) | v112(constB19)) <=> (v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3006,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[3005])).
% 41.08/26.68 tff(3007,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[3006, 3004])).
% 41.08/26.68 tff(3008,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3009,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3008, 3007])).
% 41.08/26.68 tff(3010,plain,
% 41.08/26.68 (v112(constB19) | (~v113(constB19))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3009, 581, 3003])).
% 41.08/26.68 tff(3011,plain,
% 41.08/26.68 (v112(constB19)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3010, 2999])).
% 41.08/26.68 tff(3012,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3013,plain,
% 41.08/26.68 (((~v112(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v112(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3014,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[3013])).
% 41.08/26.68 tff(3015,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[3014, 3012])).
% 41.08/26.68 tff(3016,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3017,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3016, 3015])).
% 41.08/26.68 tff(3018,plain,
% 41.08/26.68 (v108(constB19)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3017, 746, 3011])).
% 41.08/26.68 tff(3019,plain,
% 41.08/26.68 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3020,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 41.08/26.68 tff(3021,plain,
% 41.08/26.68 (nextState(constB19, constB20)),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 41.08/26.68 tff(3022,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3023,plain,
% 41.08/26.68 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3024,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[3023])).
% 41.08/26.68 tff(3025,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[3024, 3022])).
% 41.08/26.68 tff(3026,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3027,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3026, 3025])).
% 41.08/26.68 tff(3028,plain,
% 41.08/26.68 (v110(constB20) | (~v108(constB19))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3027, 731, 3021])).
% 41.08/26.68 tff(3029,plain,
% 41.08/26.68 (v110(constB20)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3028, 3018])).
% 41.08/26.68 tff(3030,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3031,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3032,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3031, 3030])).
% 41.08/26.68 tff(3033,plain,
% 41.08/26.68 (~v104(constB20)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3032, 659, 3021, 2877])).
% 41.08/26.68 tff(3034,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3035,plain,
% 41.08/26.68 (((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)) <=> ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3036,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20)))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[3035])).
% 41.08/26.68 tff(3037,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 41.08/26.68 inference(transitivity,[status(thm)],[3036, 3034])).
% 41.08/26.68 tff(3038,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3039,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20)),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 41.08/26.68 tff(3040,plain,
% 41.08/26.68 (v104(constB20) | v102(constB20)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3039, 673, 3021])).
% 41.08/26.68 tff(3041,plain,
% 41.08/26.68 (v102(constB20)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3040, 3033])).
% 41.08/26.68 tff(3042,plain,
% 41.08/26.68 (v1(constB20) <=> v1(constB20)),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3043,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 41.08/26.68 tff(3044,plain,
% 41.08/26.68 (v1(constB20)),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3043, 3042])).
% 41.08/26.68 tff(3045,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3046,plain,
% 41.08/26.68 (((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))) <=> ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3047,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[3046])).
% 41.08/26.68 tff(3048,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[3047, 3045])).
% 41.08/26.68 tff(3049,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3050,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3049, 3048])).
% 41.08/26.68 tff(3051,plain,
% 41.08/26.68 (v101(constB20) | (~v102(constB20))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3050, 694, 3021, 3044])).
% 41.08/26.68 tff(3052,plain,
% 41.08/26.68 (v101(constB20)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3051, 3041])).
% 41.08/26.68 tff(3053,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3054,plain,
% 41.08/26.68 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3055,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[3054])).
% 41.08/26.68 tff(3056,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[3055, 3053])).
% 41.08/26.68 tff(3057,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3058,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3057, 3056])).
% 41.08/26.68 tff(3059,plain,
% 41.08/26.68 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3058, 712, 3021])).
% 41.08/26.68 tff(3060,plain,
% 41.08/26.68 (v100(constB20) | (~v110(constB20))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3059, 3052])).
% 41.08/26.68 tff(3061,plain,
% 41.08/26.68 (v100(constB20)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3060, 3029])).
% 41.08/26.68 tff(3062,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3063,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3064,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3063, 3062])).
% 41.08/26.68 tff(3065,plain,
% 41.08/26.68 (~v130(constB19, bitIndex2)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3064, 1990, 2970])).
% 41.08/26.68 tff(3066,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3067,plain,
% 41.08/26.68 ((v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2))) <=> ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3068,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[3067])).
% 41.08/26.68 tff(3069,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 41.08/26.68 inference(transitivity,[status(thm)],[3068, 3066])).
% 41.08/26.68 tff(3070,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3071,plain,
% 41.08/26.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 41.08/26.68 tff(3072,plain,
% 41.08/26.68 ((~v127(constB19, bitIndex2)) | v130(constB19, bitIndex2)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3071, 1419, 3003])).
% 41.08/26.68 tff(3073,plain,
% 41.08/26.68 (~v127(constB19, bitIndex2)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3072, 3065])).
% 41.08/26.68 tff(3074,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3075,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3076,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3075, 3074])).
% 41.08/26.68 tff(3077,plain,
% 41.08/26.68 (v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3076, 1437, 3021])).
% 41.08/26.68 tff(3078,plain,
% 41.08/26.68 (~v129(constB20, bitIndex2)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3077, 3073])).
% 41.08/26.68 tff(3079,plain,
% 41.08/26.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3080,plain,
% 41.08/26.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3081,plain,
% 41.08/26.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3080, 3079])).
% 41.08/26.68 tff(3082,plain,
% 41.08/26.68 ((~v90(constB20, bitIndex2)) | (~v100(constB20))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3081, 1452, 3078])).
% 41.08/26.68 tff(3083,plain,
% 41.08/26.68 (~v90(constB20, bitIndex2)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3082, 3061])).
% 41.08/26.68 tff(3084,plain,
% 41.08/26.68 ((~v1(constB21)) <=> (~v1(constB21))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3085,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 41.08/26.68 tff(3086,plain,
% 41.08/26.68 (~v1(constB21)),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 41.08/26.68 tff(3087,plain,
% 41.08/26.68 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3088,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 41.08/26.68 tff(3089,plain,
% 41.08/26.68 (nextState(constB20, constB21)),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3088, 3087])).
% 41.08/26.68 tff(3090,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3091,plain,
% 41.08/26.68 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3092,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[3091])).
% 41.08/26.68 tff(3093,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[3092, 3090])).
% 41.08/26.68 tff(3094,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3095,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3094, 3093])).
% 41.08/26.68 tff(3096,plain,
% 41.08/26.68 (~v101(constB21)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3095, 391, 3089, 3086])).
% 41.08/26.68 tff(3097,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3098,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3099,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3098, 3097])).
% 41.08/26.68 tff(3100,plain,
% 41.08/26.68 (v101(constB21) | (~v100(constB21))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3099, 408, 3089])).
% 41.08/26.68 tff(3101,plain,
% 41.08/26.68 (~v100(constB21)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3100, 3096])).
% 41.08/26.68 tff(3102,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3103,plain,
% 41.08/26.68 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.68 tff(3104,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))))),
% 41.08/26.68 inference(monotonicity,[status(thm)],[3103])).
% 41.08/26.68 tff(3105,plain,
% 41.08/26.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 41.08/26.68 inference(transitivity,[status(thm)],[3104, 3102])).
% 41.08/26.68 tff(3106,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 41.08/26.68 inference(quant_inst,[status(thm)],[])).
% 41.08/26.68 tff(3107,plain,
% 41.08/26.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 41.08/26.68 inference(modus_ponens,[status(thm)],[3106, 3105])).
% 41.08/26.68 tff(3108,plain,
% 41.08/26.68 (v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3107, 423, 3089])).
% 41.08/26.68 tff(3109,plain,
% 41.08/26.68 (v90(constB20, bitIndex2) | (~v90(constB21, bitIndex2))),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3108, 3101])).
% 41.08/26.68 tff(3110,plain,
% 41.08/26.68 (~v90(constB21, bitIndex2)),
% 41.08/26.68 inference(unit_resolution,[status(thm)],[3109, 3083])).
% 41.08/26.68 tff(3111,plain,
% 41.08/26.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB19)) | v130(constB19, bitIndex1))),
% 41.08/26.68 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3112,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB19)) | v130(constB19, bitIndex1))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3113,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB19)) | v130(constB19, bitIndex1)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3112, 3111])).
% 41.08/26.69 tff(3114,plain,
% 41.08/26.69 (v130(constB19, bitIndex1)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3113, 2050, 2970])).
% 41.08/26.69 tff(3115,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3116,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3117,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3116, 3115])).
% 41.08/26.69 tff(3118,plain,
% 41.08/26.69 ((~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3117, 1144, 3003])).
% 41.08/26.69 tff(3119,plain,
% 41.08/26.69 (v127(constB19, bitIndex1)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3118, 3114])).
% 41.08/26.69 tff(3120,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3121,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3122,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3121, 3120])).
% 41.08/26.69 tff(3123,plain,
% 41.08/26.69 ((~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3122, 1159, 3021])).
% 41.08/26.69 tff(3124,plain,
% 41.08/26.69 (v129(constB20, bitIndex1)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3123, 3119])).
% 41.08/26.69 tff(3125,plain,
% 41.08/26.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3126,plain,
% 41.08/26.69 ((v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3127,plain,
% 41.08/26.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3126])).
% 41.08/26.69 tff(3128,plain,
% 41.08/26.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3127, 3125])).
% 41.08/26.69 tff(3129,plain,
% 41.08/26.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3130,plain,
% 41.08/26.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3129, 3128])).
% 41.08/26.69 tff(3131,plain,
% 41.08/26.69 (v90(constB20, bitIndex1) | (~v100(constB20))),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3130, 1174, 3124])).
% 41.08/26.69 tff(3132,plain,
% 41.08/26.69 (v90(constB20, bitIndex1)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3131, 3061])).
% 41.08/26.69 tff(3133,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3134,plain,
% 41.08/26.69 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1)) <=> ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3135,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1)))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3134])).
% 41.08/26.69 tff(3136,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3135, 3133])).
% 41.08/26.69 tff(3137,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3138,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 41.08/26.69 tff(3139,plain,
% 41.08/26.69 ((~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3138, 1192, 3089])).
% 41.08/26.69 tff(3140,plain,
% 41.08/26.69 ((~v90(constB20, bitIndex1)) | v90(constB21, bitIndex1)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3139, 3101])).
% 41.08/26.69 tff(3141,plain,
% 41.08/26.69 (v90(constB21, bitIndex1)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3140, 3132])).
% 41.08/26.69 tff(3142,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3143,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3144,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 41.08/26.69 tff(3145,plain,
% 41.08/26.69 (v130(constB19, bitIndex0)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3144, 2088, 2970])).
% 41.08/26.69 tff(3146,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3147,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3148,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3147, 3146])).
% 41.08/26.69 tff(3149,plain,
% 41.08/26.69 ((~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3148, 1552, 3003])).
% 41.08/26.69 tff(3150,plain,
% 41.08/26.69 (v127(constB19, bitIndex0)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3149, 3145])).
% 41.08/26.69 tff(3151,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3152,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3153,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3152, 3151])).
% 41.08/26.69 tff(3154,plain,
% 41.08/26.69 ((~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3153, 1567, 3021])).
% 41.08/26.69 tff(3155,plain,
% 41.08/26.69 (v129(constB20, bitIndex0)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3154, 3150])).
% 41.08/26.69 tff(3156,plain,
% 41.08/26.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3157,plain,
% 41.08/26.69 ((v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3158,plain,
% 41.08/26.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3157])).
% 41.08/26.69 tff(3159,plain,
% 41.08/26.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3158, 3156])).
% 41.08/26.69 tff(3160,plain,
% 41.08/26.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3161,plain,
% 41.08/26.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3160, 3159])).
% 41.08/26.69 tff(3162,plain,
% 41.08/26.69 (v90(constB20, bitIndex0) | (~v100(constB20))),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3161, 1582, 3155])).
% 41.08/26.69 tff(3163,plain,
% 41.08/26.69 (v90(constB20, bitIndex0)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3162, 3061])).
% 41.08/26.69 tff(3164,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3165,plain,
% 41.08/26.69 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3166,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0)))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3165])).
% 41.08/26.69 tff(3167,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3166, 3164])).
% 41.08/26.69 tff(3168,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3169,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 41.08/26.69 tff(3170,plain,
% 41.08/26.69 ((~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3169, 1600, 3089])).
% 41.08/26.69 tff(3171,plain,
% 41.08/26.69 ((~v90(constB20, bitIndex0)) | v90(constB21, bitIndex0)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3170, 3101])).
% 41.08/26.69 tff(3172,plain,
% 41.08/26.69 (v90(constB21, bitIndex0)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3171, 3163])).
% 41.08/26.69 tff(3173,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3174,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3175,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3174, 3173])).
% 41.08/26.69 tff(3176,plain,
% 41.08/26.69 (v122(constB21)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3175, 2129, 3172, 3141, 3110])).
% 41.08/26.69 tff(3177,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB21) | (~v122(constB21)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB21) | (~v122(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3178,plain,
% 41.08/26.69 (((~v122(constB21)) | v116(constB21)) <=> (v116(constB21) | (~v122(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3179,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB21)) | v116(constB21))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB21) | (~v122(constB21))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3178])).
% 41.08/26.69 tff(3180,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB21)) | v116(constB21))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB21) | (~v122(constB21)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3179, 3177])).
% 41.08/26.69 tff(3181,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB21)) | v116(constB21))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3182,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB21) | (~v122(constB21))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 41.08/26.69 tff(3183,plain,
% 41.08/26.69 (v116(constB21)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3182, 2140, 3176])).
% 41.08/26.69 tff(3184,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v116(constB21)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3185,plain,
% 41.08/26.69 (((~v116(constB21)) | v115(constB21)) <=> (v115(constB21) | (~v116(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3186,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v116(constB21))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3185])).
% 41.08/26.69 tff(3187,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3186, 3184])).
% 41.08/26.69 tff(3188,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3189,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 41.08/26.69 tff(3190,plain,
% 41.08/26.69 (v115(constB21)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3189, 539, 3183])).
% 41.08/26.69 tff(3191,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3192,plain,
% 41.08/26.69 (((~v115(constB21)) | v114(constB21)) <=> (v114(constB21) | (~v115(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3193,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3192])).
% 41.08/26.69 tff(3194,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3193, 3191])).
% 41.08/26.69 tff(3195,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3196,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 41.08/26.69 tff(3197,plain,
% 41.08/26.69 (v114(constB21)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3196, 553, 3190])).
% 41.08/26.69 tff(3198,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3199,plain,
% 41.08/26.69 (((~v114(constB21)) | v113(constB21)) <=> (v113(constB21) | (~v114(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3200,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3199])).
% 41.08/26.69 tff(3201,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3200, 3198])).
% 41.08/26.69 tff(3202,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3203,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3202, 3201])).
% 41.08/26.69 tff(3204,plain,
% 41.08/26.69 (v113(constB21)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3203, 567, 3197])).
% 41.08/26.69 tff(3205,assumption,(v26(constB21)), introduced(assumption)).
% 41.08/26.69 tff(3206,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3207,plain,
% 41.08/26.69 ($false),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3206, 95, 3205])).
% 41.08/26.69 tff(3208,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 41.08/26.69 tff(3209,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3210,plain,
% 41.08/26.69 ((v26(constB21) | (~v113(constB21)) | v112(constB21)) <=> (v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3211,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3210])).
% 41.08/26.69 tff(3212,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3211, 3209])).
% 41.08/26.69 tff(3213,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3214,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 41.08/26.69 tff(3215,plain,
% 41.08/26.69 (v112(constB21) | (~v113(constB21))),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3214, 581, 3208])).
% 41.08/26.69 tff(3216,plain,
% 41.08/26.69 (v112(constB21)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3215, 3204])).
% 41.08/26.69 tff(3217,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3218,plain,
% 41.08/26.69 (((~v112(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v112(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3219,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3218])).
% 41.08/26.69 tff(3220,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3219, 3217])).
% 41.08/26.69 tff(3221,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3222,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3221, 3220])).
% 41.08/26.69 tff(3223,plain,
% 41.08/26.69 (v108(constB21)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3222, 746, 3216])).
% 41.08/26.69 tff(3224,plain,
% 41.08/26.69 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3225,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 41.08/26.69 tff(3226,plain,
% 41.08/26.69 (nextState(constB21, constB22)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3225, 3224])).
% 41.08/26.69 tff(3227,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3228,plain,
% 41.08/26.69 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3229,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3228])).
% 41.08/26.69 tff(3230,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3229, 3227])).
% 41.08/26.69 tff(3231,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3232,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 41.08/26.69 tff(3233,plain,
% 41.08/26.69 (v110(constB22) | (~v108(constB21))),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3232, 731, 3226])).
% 41.08/26.69 tff(3234,plain,
% 41.08/26.69 (v110(constB22)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3233, 3223])).
% 41.08/26.69 tff(3235,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3236,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3237,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3236, 3235])).
% 41.08/26.69 tff(3238,plain,
% 41.08/26.69 (~v104(constB22)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3237, 659, 3226, 3086])).
% 41.08/26.69 tff(3239,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3240,plain,
% 41.08/26.69 (((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)) <=> ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3241,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22)))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3240])).
% 41.08/26.69 tff(3242,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3241, 3239])).
% 41.08/26.69 tff(3243,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3244,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 41.08/26.69 tff(3245,plain,
% 41.08/26.69 (v104(constB22) | v102(constB22)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3244, 673, 3226])).
% 41.08/26.69 tff(3246,plain,
% 41.08/26.69 (v102(constB22)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3245, 3238])).
% 41.08/26.69 tff(3247,plain,
% 41.08/26.69 (v1(constB22) <=> v1(constB22)),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3248,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 41.08/26.69 tff(3249,plain,
% 41.08/26.69 (v1(constB22)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 41.08/26.69 tff(3250,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3251,plain,
% 41.08/26.69 (((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))) <=> ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3252,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3251])).
% 41.08/26.69 tff(3253,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3252, 3250])).
% 41.08/26.69 tff(3254,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3255,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 41.08/26.69 tff(3256,plain,
% 41.08/26.69 (v101(constB22) | (~v102(constB22))),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3255, 694, 3226, 3249])).
% 41.08/26.69 tff(3257,plain,
% 41.08/26.69 (v101(constB22)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3256, 3246])).
% 41.08/26.69 tff(3258,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3259,plain,
% 41.08/26.69 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3260,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 41.08/26.69 inference(monotonicity,[status(thm)],[3259])).
% 41.08/26.69 tff(3261,plain,
% 41.08/26.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 41.08/26.69 inference(transitivity,[status(thm)],[3260, 3258])).
% 41.08/26.69 tff(3262,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3263,plain,
% 41.08/26.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 41.08/26.69 tff(3264,plain,
% 41.08/26.69 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3263, 712, 3226])).
% 41.08/26.69 tff(3265,plain,
% 41.08/26.69 (v100(constB22) | (~v110(constB22))),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3264, 3257])).
% 41.08/26.69 tff(3266,plain,
% 41.08/26.69 (v100(constB22)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3265, 3234])).
% 41.08/26.69 tff(3267,plain,
% 41.08/26.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB21)) | v130(constB21, bitIndex2))),
% 41.08/26.69 inference(rewrite,[status(thm)],[])).
% 41.08/26.69 tff(3268,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB21)) | v130(constB21, bitIndex2))),
% 41.08/26.69 inference(quant_inst,[status(thm)],[])).
% 41.08/26.69 tff(3269,plain,
% 41.08/26.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB21)) | v130(constB21, bitIndex2)),
% 41.08/26.69 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 41.08/26.69 tff(3270,plain,
% 41.08/26.69 (v130(constB21, bitIndex2)),
% 41.08/26.69 inference(unit_resolution,[status(thm)],[3269, 2224, 3176])).
% 41.08/26.70 tff(3271,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3272,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3273,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3272, 3271])).
% 41.08/26.70 tff(3274,plain,
% 41.08/26.70 ((~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3273, 607, 3208])).
% 41.08/26.70 tff(3275,plain,
% 41.08/26.70 (v127(constB21, bitIndex2)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3274, 3270])).
% 41.08/26.70 tff(3276,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3277,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3278,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 41.08/26.70 tff(3279,plain,
% 41.08/26.70 ((~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3278, 625, 3226])).
% 41.08/26.70 tff(3280,plain,
% 41.08/26.70 (v129(constB22, bitIndex2)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3279, 3275])).
% 41.08/26.70 tff(3281,plain,
% 41.08/26.70 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3282,plain,
% 41.08/26.70 ((v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3283,plain,
% 41.08/26.70 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))))),
% 41.08/26.70 inference(monotonicity,[status(thm)],[3282])).
% 41.08/26.70 tff(3284,plain,
% 41.08/26.70 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 41.08/26.70 inference(transitivity,[status(thm)],[3283, 3281])).
% 41.08/26.70 tff(3285,plain,
% 41.08/26.70 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3286,plain,
% 41.08/26.70 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 41.08/26.70 tff(3287,plain,
% 41.08/26.70 (v90(constB22, bitIndex2) | (~v100(constB22))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3286, 641, 3280])).
% 41.08/26.70 tff(3288,plain,
% 41.08/26.70 (v90(constB22, bitIndex2)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3287, 3266])).
% 41.08/26.70 tff(3289,plain,
% 41.08/26.70 ((~v1(constB23)) <=> (~v1(constB23))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3290,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 41.08/26.70 tff(3291,plain,
% 41.08/26.70 (~v1(constB23)),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3290, 3289])).
% 41.08/26.70 tff(3292,plain,
% 41.08/26.70 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3293,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 41.08/26.70 tff(3294,plain,
% 41.08/26.70 (nextState(constB22, constB23)),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3293, 3292])).
% 41.08/26.70 tff(3295,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3296,plain,
% 41.08/26.70 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3297,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 41.08/26.70 inference(monotonicity,[status(thm)],[3296])).
% 41.08/26.70 tff(3298,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 41.08/26.70 inference(transitivity,[status(thm)],[3297, 3295])).
% 41.08/26.70 tff(3299,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3300,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 41.08/26.70 tff(3301,plain,
% 41.08/26.70 (~v101(constB23)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3300, 391, 3294, 3291])).
% 41.08/26.70 tff(3302,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3303,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3304,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3303, 3302])).
% 41.08/26.70 tff(3305,plain,
% 41.08/26.70 (v101(constB23) | (~v100(constB23))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3304, 408, 3294])).
% 41.08/26.70 tff(3306,plain,
% 41.08/26.70 (~v100(constB23)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3305, 3301])).
% 41.08/26.70 tff(3307,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3308,plain,
% 41.08/26.70 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3309,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)))),
% 41.08/26.70 inference(monotonicity,[status(thm)],[3308])).
% 41.08/26.70 tff(3310,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 41.08/26.70 inference(transitivity,[status(thm)],[3309, 3307])).
% 41.08/26.70 tff(3311,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3312,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 41.08/26.70 tff(3313,plain,
% 41.08/26.70 ((~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3312, 783, 3294])).
% 41.08/26.70 tff(3314,plain,
% 41.08/26.70 ((~v90(constB22, bitIndex2)) | v90(constB23, bitIndex2)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3313, 3306])).
% 41.08/26.70 tff(3315,plain,
% 41.08/26.70 (v90(constB23, bitIndex2)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3314, 3288])).
% 41.08/26.70 tff(3316,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3317,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3318,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3317, 3316])).
% 41.08/26.70 tff(3319,plain,
% 41.08/26.70 (~v130(constB21, bitIndex1)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3318, 2281, 3176])).
% 41.08/26.70 tff(3320,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3321,plain,
% 41.08/26.70 ((v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1))) <=> ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3322,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)))),
% 41.08/26.70 inference(monotonicity,[status(thm)],[3321])).
% 41.08/26.70 tff(3323,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 41.08/26.70 inference(transitivity,[status(thm)],[3322, 3320])).
% 41.08/26.70 tff(3324,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3325,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3324, 3323])).
% 41.08/26.70 tff(3326,plain,
% 41.08/26.70 ((~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3325, 823, 3208])).
% 41.08/26.70 tff(3327,plain,
% 41.08/26.70 (~v127(constB21, bitIndex1)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3326, 3319])).
% 41.08/26.70 tff(3328,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3329,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3330,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 41.08/26.70 tff(3331,plain,
% 41.08/26.70 (v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3330, 853, 3226])).
% 41.08/26.70 tff(3332,plain,
% 41.08/26.70 (~v129(constB22, bitIndex1)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3331, 3327])).
% 41.08/26.70 tff(3333,plain,
% 41.08/26.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3334,plain,
% 41.08/26.70 (((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3335,plain,
% 41.08/26.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))))),
% 41.08/26.70 inference(monotonicity,[status(thm)],[3334])).
% 41.08/26.70 tff(3336,plain,
% 41.08/26.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 41.08/26.70 inference(transitivity,[status(thm)],[3335, 3333])).
% 41.08/26.70 tff(3337,plain,
% 41.08/26.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3338,plain,
% 41.08/26.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 41.08/26.70 tff(3339,plain,
% 41.08/26.70 ((~v90(constB22, bitIndex1)) | (~v100(constB22))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3338, 868, 3332])).
% 41.08/26.70 tff(3340,plain,
% 41.08/26.70 (~v90(constB22, bitIndex1)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3339, 3266])).
% 41.08/26.70 tff(3341,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3342,plain,
% 41.08/26.70 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3343,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))))),
% 41.08/26.70 inference(monotonicity,[status(thm)],[3342])).
% 41.08/26.70 tff(3344,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 41.08/26.70 inference(transitivity,[status(thm)],[3343, 3341])).
% 41.08/26.70 tff(3345,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3346,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3345, 3344])).
% 41.08/26.70 tff(3347,plain,
% 41.08/26.70 (v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3346, 444, 3294])).
% 41.08/26.70 tff(3348,plain,
% 41.08/26.70 (v90(constB22, bitIndex1) | (~v90(constB23, bitIndex1))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3347, 3306])).
% 41.08/26.70 tff(3349,plain,
% 41.08/26.70 (~v90(constB23, bitIndex1)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3348, 3340])).
% 41.08/26.70 tff(3350,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB21)) | (~v130(constB21, bitIndex0)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3351,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex0)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3352,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB21)) | (~v130(constB21, bitIndex0))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 41.08/26.70 tff(3353,plain,
% 41.08/26.70 (~v130(constB21, bitIndex0)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3352, 2327, 3176])).
% 41.08/26.70 tff(3354,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3355,plain,
% 41.08/26.70 ((v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0))) <=> ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3356,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)))),
% 41.08/26.70 inference(monotonicity,[status(thm)],[3355])).
% 41.08/26.70 tff(3357,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 41.08/26.70 inference(transitivity,[status(thm)],[3356, 3354])).
% 41.08/26.70 tff(3358,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3359,plain,
% 41.08/26.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3358, 3357])).
% 41.08/26.70 tff(3360,plain,
% 41.08/26.70 ((~v127(constB21, bitIndex0)) | v130(constB21, bitIndex0)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3359, 907, 3208])).
% 41.08/26.70 tff(3361,plain,
% 41.08/26.70 (~v127(constB21, bitIndex0)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3360, 3353])).
% 41.08/26.70 tff(3362,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3363,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3364,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3363, 3362])).
% 41.08/26.70 tff(3365,plain,
% 41.08/26.70 (v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3364, 937, 3226])).
% 41.08/26.70 tff(3366,plain,
% 41.08/26.70 (~v129(constB22, bitIndex0)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3365, 3361])).
% 41.08/26.70 tff(3367,plain,
% 41.08/26.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3368,plain,
% 41.08/26.70 (((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3369,plain,
% 41.08/26.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22))))),
% 41.08/26.70 inference(monotonicity,[status(thm)],[3368])).
% 41.08/26.70 tff(3370,plain,
% 41.08/26.70 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 41.08/26.70 inference(transitivity,[status(thm)],[3369, 3367])).
% 41.08/26.70 tff(3371,plain,
% 41.08/26.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3372,plain,
% 41.08/26.70 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3371, 3370])).
% 41.08/26.70 tff(3373,plain,
% 41.08/26.70 ((~v90(constB22, bitIndex0)) | (~v100(constB22))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3372, 952, 3366])).
% 41.08/26.70 tff(3374,plain,
% 41.08/26.70 (~v90(constB22, bitIndex0)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3373, 3266])).
% 41.08/26.70 tff(3375,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3376,plain,
% 41.08/26.70 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 41.08/26.70 inference(rewrite,[status(thm)],[])).
% 41.08/26.70 tff(3377,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0))))),
% 41.08/26.70 inference(monotonicity,[status(thm)],[3376])).
% 41.08/26.70 tff(3378,plain,
% 41.08/26.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 41.08/26.70 inference(transitivity,[status(thm)],[3377, 3375])).
% 41.08/26.70 tff(3379,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 41.08/26.70 inference(quant_inst,[status(thm)],[])).
% 41.08/26.70 tff(3380,plain,
% 41.08/26.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0))),
% 41.08/26.70 inference(modus_ponens,[status(thm)],[3379, 3378])).
% 41.08/26.70 tff(3381,plain,
% 41.08/26.70 (v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3380, 465, 3294])).
% 41.08/26.70 tff(3382,plain,
% 41.08/26.70 (v90(constB22, bitIndex0) | (~v90(constB23, bitIndex0))),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3381, 3306])).
% 41.08/26.70 tff(3383,plain,
% 41.08/26.70 (~v90(constB23, bitIndex0)),
% 41.08/26.70 inference(unit_resolution,[status(thm)],[3382, 3374])).
% 41.08/26.70 tff(3384,plain,
% 41.08/26.70 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3385,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3386,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3385, 3384])).
% 41.08/26.71 tff(3387,plain,
% 41.08/26.71 (v123(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3386, 979, 3383, 3349, 3315])).
% 41.08/26.71 tff(3388,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB23)) | v115(constB23))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB23)) | v115(constB23))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3389,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB23)) | v115(constB23))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3390,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB23)) | v115(constB23)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3389, 3388])).
% 41.08/26.71 tff(3391,plain,
% 41.08/26.71 (v115(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3390, 990, 3387])).
% 41.08/26.71 tff(3392,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v115(constB23)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3393,plain,
% 41.08/26.71 (((~v115(constB23)) | v114(constB23)) <=> (v114(constB23) | (~v115(constB23)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3394,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v115(constB23))))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3393])).
% 41.08/26.71 tff(3395,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23)))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3394, 3392])).
% 41.08/26.71 tff(3396,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3397,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 41.08/26.71 tff(3398,plain,
% 41.08/26.71 (v114(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3397, 553, 3391])).
% 41.08/26.71 tff(3399,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3400,plain,
% 41.08/26.71 (((~v114(constB23)) | v113(constB23)) <=> (v113(constB23) | (~v114(constB23)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3401,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23))))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3400])).
% 41.08/26.71 tff(3402,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3401, 3399])).
% 41.08/26.71 tff(3403,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3404,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 41.08/26.71 tff(3405,plain,
% 41.08/26.71 (v113(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3404, 567, 3398])).
% 41.08/26.71 tff(3406,assumption,(v26(constB23)), introduced(assumption)).
% 41.08/26.71 tff(3407,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3408,plain,
% 41.08/26.71 ($false),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3407, 95, 3406])).
% 41.08/26.71 tff(3409,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 41.08/26.71 tff(3410,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3411,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3412,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | (~v113(constB23)) | v112(constB23)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 41.08/26.71 tff(3413,plain,
% 41.08/26.71 ((~v113(constB23)) | v112(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3412, 581, 3409])).
% 41.08/26.71 tff(3414,plain,
% 41.08/26.71 (v112(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3413, 3405])).
% 41.08/26.71 tff(3415,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3416,plain,
% 41.08/26.71 (((~v112(constB23)) | v108(constB23)) <=> (v108(constB23) | (~v112(constB23)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3417,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23))))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3416])).
% 41.08/26.71 tff(3418,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3417, 3415])).
% 41.08/26.71 tff(3419,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3420,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 41.08/26.71 tff(3421,plain,
% 41.08/26.71 (v108(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3420, 746, 3414])).
% 41.08/26.71 tff(3422,plain,
% 41.08/26.71 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3423,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 41.08/26.71 tff(3424,plain,
% 41.08/26.71 (nextState(constB23, constB24)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3423, 3422])).
% 41.08/26.71 tff(3425,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3426,plain,
% 41.08/26.71 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3427,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3426])).
% 41.08/26.71 tff(3428,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3427, 3425])).
% 41.08/26.71 tff(3429,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3430,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 41.08/26.71 tff(3431,plain,
% 41.08/26.71 (v110(constB24) | (~v108(constB23))),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3430, 731, 3424])).
% 41.08/26.71 tff(3432,plain,
% 41.08/26.71 (v110(constB24)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3431, 3421])).
% 41.08/26.71 tff(3433,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3434,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3435,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 41.08/26.71 tff(3436,plain,
% 41.08/26.71 (~v104(constB24)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3435, 659, 3424, 3291])).
% 41.08/26.71 tff(3437,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3438,plain,
% 41.08/26.71 (((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)) <=> ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3439,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24)))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3438])).
% 41.08/26.71 tff(3440,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3439, 3437])).
% 41.08/26.71 tff(3441,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3442,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3441, 3440])).
% 41.08/26.71 tff(3443,plain,
% 41.08/26.71 (v104(constB24) | v102(constB24)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3442, 673, 3424])).
% 41.08/26.71 tff(3444,plain,
% 41.08/26.71 (v102(constB24)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3443, 3436])).
% 41.08/26.71 tff(3445,plain,
% 41.08/26.71 (v1(constB24) <=> v1(constB24)),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3446,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 41.08/26.71 tff(3447,plain,
% 41.08/26.71 (v1(constB24)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3446, 3445])).
% 41.08/26.71 tff(3448,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3449,plain,
% 41.08/26.71 (((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))) <=> ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3450,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24))))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3449])).
% 41.08/26.71 tff(3451,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3450, 3448])).
% 41.08/26.71 tff(3452,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3453,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 41.08/26.71 tff(3454,plain,
% 41.08/26.71 (v101(constB24) | (~v102(constB24))),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3453, 694, 3424, 3447])).
% 41.08/26.71 tff(3455,plain,
% 41.08/26.71 (v101(constB24)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3454, 3444])).
% 41.08/26.71 tff(3456,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3457,plain,
% 41.08/26.71 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3458,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3457])).
% 41.08/26.71 tff(3459,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3458, 3456])).
% 41.08/26.71 tff(3460,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3461,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3460, 3459])).
% 41.08/26.71 tff(3462,plain,
% 41.08/26.71 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3461, 712, 3424])).
% 41.08/26.71 tff(3463,plain,
% 41.08/26.71 (v100(constB24) | (~v110(constB24))),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3462, 3455])).
% 41.08/26.71 tff(3464,plain,
% 41.08/26.71 (v100(constB24)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3463, 3432])).
% 41.08/26.71 tff(3465,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB23)) | v130(constB23, bitIndex1))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3466,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB23)) | v130(constB23, bitIndex1))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3467,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB23)) | v130(constB23, bitIndex1)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3466, 3465])).
% 41.08/26.71 tff(3468,plain,
% 41.08/26.71 (v130(constB23, bitIndex1)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3467, 1130, 3387])).
% 41.08/26.71 tff(3469,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3470,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3471,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3470, 3469])).
% 41.08/26.71 tff(3472,plain,
% 41.08/26.71 ((~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3471, 1144, 3409])).
% 41.08/26.71 tff(3473,plain,
% 41.08/26.71 (v127(constB23, bitIndex1)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3472, 3468])).
% 41.08/26.71 tff(3474,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3475,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3476,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 41.08/26.71 tff(3477,plain,
% 41.08/26.71 ((~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3476, 1159, 3424])).
% 41.08/26.71 tff(3478,plain,
% 41.08/26.71 (v129(constB24, bitIndex1)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3477, 3473])).
% 41.08/26.71 tff(3479,plain,
% 41.08/26.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3480,plain,
% 41.08/26.71 ((v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3481,plain,
% 41.08/26.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3480])).
% 41.08/26.71 tff(3482,plain,
% 41.08/26.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3481, 3479])).
% 41.08/26.71 tff(3483,plain,
% 41.08/26.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3484,plain,
% 41.08/26.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3483, 3482])).
% 41.08/26.71 tff(3485,plain,
% 41.08/26.71 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3484, 1174, 3478])).
% 41.08/26.71 tff(3486,plain,
% 41.08/26.71 (v90(constB24, bitIndex1)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3485, 3464])).
% 41.08/26.71 tff(3487,plain,
% 41.08/26.71 ((~v1(constB25)) <=> (~v1(constB25))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3488,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 41.08/26.71 tff(3489,plain,
% 41.08/26.71 (~v1(constB25)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3488, 3487])).
% 41.08/26.71 tff(3490,plain,
% 41.08/26.71 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3491,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 41.08/26.71 tff(3492,plain,
% 41.08/26.71 (nextState(constB24, constB25)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 41.08/26.71 tff(3493,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3494,plain,
% 41.08/26.71 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3495,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3494])).
% 41.08/26.71 tff(3496,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3495, 3493])).
% 41.08/26.71 tff(3497,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3498,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3497, 3496])).
% 41.08/26.71 tff(3499,plain,
% 41.08/26.71 (~v101(constB25)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3498, 391, 3492, 3489])).
% 41.08/26.71 tff(3500,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3501,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3502,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3501, 3500])).
% 41.08/26.71 tff(3503,plain,
% 41.08/26.71 (v101(constB25) | (~v100(constB25))),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3502, 408, 3492])).
% 41.08/26.71 tff(3504,plain,
% 41.08/26.71 (~v100(constB25)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3503, 3499])).
% 41.08/26.71 tff(3505,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3506,plain,
% 41.08/26.71 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3507,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)))),
% 41.08/26.71 inference(monotonicity,[status(thm)],[3506])).
% 41.08/26.71 tff(3508,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 41.08/26.71 inference(transitivity,[status(thm)],[3507, 3505])).
% 41.08/26.71 tff(3509,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3510,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 41.08/26.71 tff(3511,plain,
% 41.08/26.71 ((~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3510, 1192, 3492])).
% 41.08/26.71 tff(3512,plain,
% 41.08/26.71 ((~v90(constB24, bitIndex1)) | v90(constB25, bitIndex1)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3511, 3504])).
% 41.08/26.71 tff(3513,plain,
% 41.08/26.71 (v90(constB25, bitIndex1)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3512, 3486])).
% 41.08/26.71 tff(3514,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB25)) | (~v90(constB25, bitIndex1)))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3515,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB25)) | (~v90(constB25, bitIndex1)))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3516,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB25)) | (~v90(constB25, bitIndex1))),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3515, 3514])).
% 41.08/26.71 tff(3517,plain,
% 41.08/26.71 (~v120(constB25)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3516, 1391, 3513])).
% 41.08/26.71 tff(3518,assumption,(v123(constB23)), introduced(assumption)).
% 41.08/26.71 tff(3519,plain,
% 41.08/26.71 (v115(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3390, 990, 3518])).
% 41.08/26.71 tff(3520,plain,
% 41.08/26.71 (v114(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3397, 553, 3519])).
% 41.08/26.71 tff(3521,plain,
% 41.08/26.71 (v113(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3404, 567, 3520])).
% 41.08/26.71 tff(3522,plain,
% 41.08/26.71 (v112(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3413, 3521])).
% 41.08/26.71 tff(3523,plain,
% 41.08/26.71 (v108(constB23)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3420, 746, 3522])).
% 41.08/26.71 tff(3524,plain,
% 41.08/26.71 (v110(constB24)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3431, 3523])).
% 41.08/26.71 tff(3525,plain,
% 41.08/26.71 (v100(constB24)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3463, 3524])).
% 41.08/26.71 tff(3526,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB23)) | v130(constB23, bitIndex2))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3527,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB23)) | v130(constB23, bitIndex2))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3528,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB23)) | v130(constB23, bitIndex2)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3527, 3526])).
% 41.08/26.71 tff(3529,plain,
% 41.08/26.71 (v130(constB23, bitIndex2)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3528, 1074, 3518])).
% 41.08/26.71 tff(3530,plain,
% 41.08/26.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3531,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3532,plain,
% 41.08/26.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3531, 3530])).
% 41.08/26.71 tff(3533,plain,
% 41.08/26.71 ((~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3532, 607, 3409])).
% 41.08/26.71 tff(3534,plain,
% 41.08/26.71 (v127(constB23, bitIndex2)),
% 41.08/26.71 inference(unit_resolution,[status(thm)],[3533, 3529])).
% 41.08/26.71 tff(3535,plain,
% 41.08/26.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 41.08/26.71 inference(rewrite,[status(thm)],[])).
% 41.08/26.71 tff(3536,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 41.08/26.71 inference(quant_inst,[status(thm)],[])).
% 41.08/26.71 tff(3537,plain,
% 41.08/26.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 41.08/26.71 inference(modus_ponens,[status(thm)],[3536, 3535])).
% 41.08/26.71 tff(3538,plain,
% 41.08/26.71 ((~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3537, 625, 3424])).
% 41.08/26.72 tff(3539,plain,
% 41.08/26.72 (v129(constB24, bitIndex2)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3538, 3534])).
% 41.08/26.72 tff(3540,plain,
% 41.08/26.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3541,plain,
% 41.08/26.72 ((v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3542,plain,
% 41.08/26.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3541])).
% 41.08/26.72 tff(3543,plain,
% 41.08/26.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3542, 3540])).
% 41.08/26.72 tff(3544,plain,
% 41.08/26.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3545,plain,
% 41.08/26.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3544, 3543])).
% 41.08/26.72 tff(3546,plain,
% 41.08/26.72 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3545, 641, 3539])).
% 41.08/26.72 tff(3547,plain,
% 41.08/26.72 (v90(constB24, bitIndex2)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3546, 3525])).
% 41.08/26.72 tff(3548,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3549,plain,
% 41.08/26.72 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3550,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3549])).
% 41.08/26.72 tff(3551,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3550, 3548])).
% 41.08/26.72 tff(3552,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3553,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3552, 3551])).
% 41.08/26.72 tff(3554,plain,
% 41.08/26.72 ((~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3553, 783, 3492])).
% 41.08/26.72 tff(3555,plain,
% 41.08/26.72 ((~v90(constB24, bitIndex2)) | v90(constB25, bitIndex2)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3554, 3504])).
% 41.08/26.72 tff(3556,plain,
% 41.08/26.72 (v90(constB25, bitIndex2)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3555, 3547])).
% 41.08/26.72 tff(3557,plain,
% 41.08/26.72 (v130(constB23, bitIndex1)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3467, 1130, 3518])).
% 41.08/26.72 tff(3558,plain,
% 41.08/26.72 (v127(constB23, bitIndex1)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3472, 3557])).
% 41.08/26.72 tff(3559,plain,
% 41.08/26.72 (v129(constB24, bitIndex1)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3477, 3558])).
% 41.08/26.72 tff(3560,plain,
% 41.08/26.72 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3484, 1174, 3559])).
% 41.08/26.72 tff(3561,plain,
% 41.08/26.72 (v90(constB24, bitIndex1)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3560, 3525])).
% 41.08/26.72 tff(3562,plain,
% 41.08/26.72 (v90(constB25, bitIndex1)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3512, 3561])).
% 41.08/26.72 tff(3563,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB23)) | (~v130(constB23, bitIndex0)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3564,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex0)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3565,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB23)) | (~v130(constB23, bitIndex0))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3564, 3563])).
% 41.08/26.72 tff(3566,plain,
% 41.08/26.72 (~v130(constB23, bitIndex0)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3565, 1208, 3518])).
% 41.08/26.72 tff(3567,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3568,plain,
% 41.08/26.72 ((v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0))) <=> ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3569,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3568])).
% 41.08/26.72 tff(3570,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3569, 3567])).
% 41.08/26.72 tff(3571,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3572,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3571, 3570])).
% 41.08/26.72 tff(3573,plain,
% 41.08/26.72 ((~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3572, 907, 3409])).
% 41.08/26.72 tff(3574,plain,
% 41.08/26.72 (~v127(constB23, bitIndex0)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3573, 3566])).
% 41.08/26.72 tff(3575,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3576,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3577,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 41.08/26.72 tff(3578,plain,
% 41.08/26.72 (v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3577, 937, 3424])).
% 41.08/26.72 tff(3579,plain,
% 41.08/26.72 (~v129(constB24, bitIndex0)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3578, 3574])).
% 41.08/26.72 tff(3580,plain,
% 41.08/26.72 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3581,plain,
% 41.08/26.72 (((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3582,plain,
% 41.08/26.72 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3581])).
% 41.08/26.72 tff(3583,plain,
% 41.08/26.72 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3582, 3580])).
% 41.08/26.72 tff(3584,plain,
% 41.08/26.72 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3585,plain,
% 41.08/26.72 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 41.08/26.72 tff(3586,plain,
% 41.08/26.72 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3585, 952, 3579])).
% 41.08/26.72 tff(3587,plain,
% 41.08/26.72 (~v90(constB24, bitIndex0)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3586, 3525])).
% 41.08/26.72 tff(3588,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3589,plain,
% 41.08/26.72 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3590,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3589])).
% 41.08/26.72 tff(3591,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3590, 3588])).
% 41.08/26.72 tff(3592,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3593,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3592, 3591])).
% 41.08/26.72 tff(3594,plain,
% 41.08/26.72 (v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3593, 465, 3492])).
% 41.08/26.72 tff(3595,plain,
% 41.08/26.72 (v90(constB24, bitIndex0) | (~v90(constB25, bitIndex0))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3594, 3504])).
% 41.08/26.72 tff(3596,plain,
% 41.08/26.72 (~v90(constB25, bitIndex0)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3595, 3587])).
% 41.08/26.72 tff(3597,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3598,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3599,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3598, 3597])).
% 41.08/26.72 tff(3600,plain,
% 41.08/26.72 (v125(constB25)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3599, 1252, 3596, 3562, 3556])).
% 41.08/26.72 tff(3601,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3602,plain,
% 41.08/26.72 (((~v125(constB25)) | v113(constB25)) <=> (v113(constB25) | (~v125(constB25)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3603,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25))))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3602])).
% 41.08/26.72 tff(3604,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3603, 3601])).
% 41.08/26.72 tff(3605,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3606,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3605, 3604])).
% 41.08/26.72 tff(3607,plain,
% 41.08/26.72 (v113(constB25)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3606, 1263, 3600])).
% 41.08/26.72 tff(3608,assumption,(v26(constB25)), introduced(assumption)).
% 41.08/26.72 tff(3609,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3610,plain,
% 41.08/26.72 ($false),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3609, 95, 3608])).
% 41.08/26.72 tff(3611,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 41.08/26.72 tff(3612,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3613,plain,
% 41.08/26.72 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3614,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25))))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3613])).
% 41.08/26.72 tff(3615,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3614, 3612])).
% 41.08/26.72 tff(3616,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3617,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3616, 3615])).
% 41.08/26.72 tff(3618,plain,
% 41.08/26.72 (v112(constB25) | (~v113(constB25))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3617, 581, 3611])).
% 41.08/26.72 tff(3619,plain,
% 41.08/26.72 (v112(constB25)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3618, 3607])).
% 41.08/26.72 tff(3620,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3621,plain,
% 41.08/26.72 (((~v112(constB25)) | v108(constB25)) <=> (v108(constB25) | (~v112(constB25)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3622,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25))))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3621])).
% 41.08/26.72 tff(3623,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3622, 3620])).
% 41.08/26.72 tff(3624,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3625,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3624, 3623])).
% 41.08/26.72 tff(3626,plain,
% 41.08/26.72 (v108(constB25)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3625, 746, 3619])).
% 41.08/26.72 tff(3627,plain,
% 41.08/26.72 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3628,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 41.08/26.72 tff(3629,plain,
% 41.08/26.72 (nextState(constB25, constB26)),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3628, 3627])).
% 41.08/26.72 tff(3630,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3631,plain,
% 41.08/26.72 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3632,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3631])).
% 41.08/26.72 tff(3633,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3632, 3630])).
% 41.08/26.72 tff(3634,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3635,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 41.08/26.72 tff(3636,plain,
% 41.08/26.72 (v110(constB26) | (~v108(constB25))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3635, 731, 3629])).
% 41.08/26.72 tff(3637,plain,
% 41.08/26.72 (v110(constB26)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3636, 3626])).
% 41.08/26.72 tff(3638,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3639,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3640,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3639, 3638])).
% 41.08/26.72 tff(3641,plain,
% 41.08/26.72 (~v104(constB26)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3640, 659, 3629, 3489])).
% 41.08/26.72 tff(3642,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3643,plain,
% 41.08/26.72 (((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)) <=> ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3644,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26)))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3643])).
% 41.08/26.72 tff(3645,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3644, 3642])).
% 41.08/26.72 tff(3646,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3647,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26)),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3646, 3645])).
% 41.08/26.72 tff(3648,plain,
% 41.08/26.72 (v104(constB26) | v102(constB26)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3647, 673, 3629])).
% 41.08/26.72 tff(3649,plain,
% 41.08/26.72 (v102(constB26)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3648, 3641])).
% 41.08/26.72 tff(3650,plain,
% 41.08/26.72 (v1(constB26) <=> v1(constB26)),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3651,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 41.08/26.72 tff(3652,plain,
% 41.08/26.72 (v1(constB26)),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3651, 3650])).
% 41.08/26.72 tff(3653,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3654,plain,
% 41.08/26.72 (((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))) <=> ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3655,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26))))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3654])).
% 41.08/26.72 tff(3656,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3655, 3653])).
% 41.08/26.72 tff(3657,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3658,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3657, 3656])).
% 41.08/26.72 tff(3659,plain,
% 41.08/26.72 (v101(constB26) | (~v102(constB26))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3658, 694, 3629, 3652])).
% 41.08/26.72 tff(3660,plain,
% 41.08/26.72 (v101(constB26)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3659, 3649])).
% 41.08/26.72 tff(3661,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3662,plain,
% 41.08/26.72 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3663,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 41.08/26.72 inference(monotonicity,[status(thm)],[3662])).
% 41.08/26.72 tff(3664,plain,
% 41.08/26.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 41.08/26.72 inference(transitivity,[status(thm)],[3663, 3661])).
% 41.08/26.72 tff(3665,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3666,plain,
% 41.08/26.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 41.08/26.72 tff(3667,plain,
% 41.08/26.72 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3666, 712, 3629])).
% 41.08/26.72 tff(3668,plain,
% 41.08/26.72 (v100(constB26) | (~v110(constB26))),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3667, 3660])).
% 41.08/26.72 tff(3669,plain,
% 41.08/26.72 (v100(constB26)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3668, 3637])).
% 41.08/26.72 tff(3670,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v90(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v90(constB25, bitIndex2)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3671,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v90(constB25, bitIndex2)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3672,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v90(constB25, bitIndex2))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3671, 3670])).
% 41.08/26.72 tff(3673,plain,
% 41.08/26.72 (~v121(constB25)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3672, 1336, 3556])).
% 41.08/26.72 tff(3674,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB25)) | (~v90(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB25)) | (~v90(constB25, bitIndex2)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3675,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB25)) | (~v90(constB25, bitIndex2)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3676,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB25)) | (~v90(constB25, bitIndex2))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3675, 3674])).
% 41.08/26.72 tff(3677,plain,
% 41.08/26.72 (~v122(constB25)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3676, 1347, 3556])).
% 41.08/26.72 tff(3678,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3679,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3680,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3679, 3678])).
% 41.08/26.72 tff(3681,plain,
% 41.08/26.72 (~v119(constB25)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3680, 1380, 3562])).
% 41.08/26.72 tff(3682,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v90(constB25, bitIndex1)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3683,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v90(constB25, bitIndex1)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3684,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v90(constB25, bitIndex1))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 41.08/26.72 tff(3685,plain,
% 41.08/26.72 (~v123(constB25)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3684, 1358, 3562])).
% 41.08/26.72 tff(3686,plain,
% 41.08/26.72 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB25)) | (~v90(constB25, bitIndex1)))),
% 41.08/26.72 inference(rewrite,[status(thm)],[])).
% 41.08/26.72 tff(3687,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB25)) | (~v90(constB25, bitIndex1)))),
% 41.08/26.72 inference(quant_inst,[status(thm)],[])).
% 41.08/26.72 tff(3688,plain,
% 41.08/26.72 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB25)) | (~v90(constB25, bitIndex1))),
% 41.08/26.72 inference(modus_ponens,[status(thm)],[3687, 3686])).
% 41.08/26.72 tff(3689,plain,
% 41.08/26.72 (~v124(constB25)),
% 41.08/26.72 inference(unit_resolution,[status(thm)],[3688, 1369, 3562])).
% 41.08/26.72 tff(3690,assumption,(~v120(constB25)), introduced(assumption)).
% 41.08/26.73 tff(3691,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3692,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3693,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3692, 3691])).
% 41.08/26.73 tff(3694,plain,
% 41.08/26.73 (~v130(constB25, bitIndex2)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3693, 1405, 3690, 3689, 3685, 3681, 3677, 3673])).
% 41.08/26.73 tff(3695,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3696,plain,
% 41.08/26.73 ((v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2))) <=> ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3697,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)))),
% 41.08/26.73 inference(monotonicity,[status(thm)],[3696])).
% 41.08/26.73 tff(3698,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 41.08/26.73 inference(transitivity,[status(thm)],[3697, 3695])).
% 41.08/26.73 tff(3699,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3700,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3699, 3698])).
% 41.08/26.73 tff(3701,plain,
% 41.08/26.73 ((~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3700, 1419, 3611])).
% 41.08/26.73 tff(3702,plain,
% 41.08/26.73 (~v127(constB25, bitIndex2)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3701, 3694])).
% 41.08/26.73 tff(3703,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3704,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3705,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 41.08/26.73 tff(3706,plain,
% 41.08/26.73 (v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3705, 1437, 3629])).
% 41.08/26.73 tff(3707,plain,
% 41.08/26.73 (~v129(constB26, bitIndex2)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3706, 3702])).
% 41.08/26.73 tff(3708,plain,
% 41.08/26.73 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3709,plain,
% 41.08/26.73 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3710,plain,
% 41.08/26.73 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3709, 3708])).
% 41.08/26.73 tff(3711,plain,
% 41.08/26.73 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3710, 1452, 3707])).
% 41.08/26.73 tff(3712,plain,
% 41.08/26.73 (~v90(constB26, bitIndex2)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3711, 3669])).
% 41.08/26.73 tff(3713,plain,
% 41.08/26.73 ((~v1(constB27)) <=> (~v1(constB27))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3714,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 41.08/26.73 tff(3715,plain,
% 41.08/26.73 (~v1(constB27)),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 41.08/26.73 tff(3716,plain,
% 41.08/26.73 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3717,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 41.08/26.73 tff(3718,plain,
% 41.08/26.73 (nextState(constB26, constB27)),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 41.08/26.73 tff(3719,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3720,plain,
% 41.08/26.73 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3721,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 41.08/26.73 inference(monotonicity,[status(thm)],[3720])).
% 41.08/26.73 tff(3722,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 41.08/26.73 inference(transitivity,[status(thm)],[3721, 3719])).
% 41.08/26.73 tff(3723,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3724,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3723, 3722])).
% 41.08/26.73 tff(3725,plain,
% 41.08/26.73 (~v101(constB27)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3724, 391, 3718, 3715])).
% 41.08/26.73 tff(3726,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3727,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3728,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3727, 3726])).
% 41.08/26.73 tff(3729,plain,
% 41.08/26.73 (v101(constB27) | (~v100(constB27))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3728, 408, 3718])).
% 41.08/26.73 tff(3730,plain,
% 41.08/26.73 (~v100(constB27)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3729, 3725])).
% 41.08/26.73 tff(3731,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3732,plain,
% 41.08/26.73 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3733,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))))),
% 41.08/26.73 inference(monotonicity,[status(thm)],[3732])).
% 41.08/26.73 tff(3734,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 41.08/26.73 inference(transitivity,[status(thm)],[3733, 3731])).
% 41.08/26.73 tff(3735,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3736,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 41.08/26.73 tff(3737,plain,
% 41.08/26.73 (v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3736, 423, 3718])).
% 41.08/26.73 tff(3738,plain,
% 41.08/26.73 (v90(constB26, bitIndex2) | (~v90(constB27, bitIndex2))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3737, 3730])).
% 41.08/26.73 tff(3739,plain,
% 41.08/26.73 (~v90(constB27, bitIndex2)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3738, 3712])).
% 41.08/26.73 tff(3740,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3741,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3742,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0)),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3741, 3740])).
% 41.08/26.73 tff(3743,plain,
% 41.08/26.73 (v130(constB25, bitIndex0)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3742, 1538, 3690, 3689, 3685, 3681, 3677, 3673])).
% 41.08/26.73 tff(3744,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3745,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3746,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3745, 3744])).
% 41.08/26.73 tff(3747,plain,
% 41.08/26.73 ((~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3746, 1552, 3611])).
% 41.08/26.73 tff(3748,plain,
% 41.08/26.73 (v127(constB25, bitIndex0)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3747, 3743])).
% 41.08/26.73 tff(3749,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3750,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3751,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 41.08/26.73 tff(3752,plain,
% 41.08/26.73 ((~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3751, 1567, 3629])).
% 41.08/26.73 tff(3753,plain,
% 41.08/26.73 (v129(constB26, bitIndex0)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3752, 3748])).
% 41.08/26.73 tff(3754,plain,
% 41.08/26.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3755,plain,
% 41.08/26.73 ((v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3756,plain,
% 41.08/26.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))))),
% 41.08/26.73 inference(monotonicity,[status(thm)],[3755])).
% 41.08/26.73 tff(3757,plain,
% 41.08/26.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 41.08/26.73 inference(transitivity,[status(thm)],[3756, 3754])).
% 41.08/26.73 tff(3758,plain,
% 41.08/26.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3759,plain,
% 41.08/26.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 41.08/26.73 tff(3760,plain,
% 41.08/26.73 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3759, 1582, 3753])).
% 41.08/26.73 tff(3761,plain,
% 41.08/26.73 (v90(constB26, bitIndex0)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3760, 3669])).
% 41.08/26.73 tff(3762,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3763,plain,
% 41.08/26.73 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3764,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)))),
% 41.08/26.73 inference(monotonicity,[status(thm)],[3763])).
% 41.08/26.73 tff(3765,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 41.08/26.73 inference(transitivity,[status(thm)],[3764, 3762])).
% 41.08/26.73 tff(3766,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3767,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 41.08/26.73 tff(3768,plain,
% 41.08/26.73 ((~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3767, 1600, 3718])).
% 41.08/26.73 tff(3769,plain,
% 41.08/26.73 ((~v90(constB26, bitIndex0)) | v90(constB27, bitIndex0)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3768, 3730])).
% 41.08/26.73 tff(3770,plain,
% 41.08/26.73 (v90(constB27, bitIndex0)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3769, 3761])).
% 41.08/26.73 tff(3771,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3772,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3773,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3772, 3771])).
% 41.08/26.73 tff(3774,plain,
% 41.08/26.73 (~v130(constB25, bitIndex1)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3773, 1494, 3690, 3689, 3685, 3681, 3677, 3673])).
% 41.08/26.73 tff(3775,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3776,plain,
% 41.08/26.73 ((v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1))) <=> ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3777,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)))),
% 41.08/26.73 inference(monotonicity,[status(thm)],[3776])).
% 41.08/26.73 tff(3778,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 41.08/26.73 inference(transitivity,[status(thm)],[3777, 3775])).
% 41.08/26.73 tff(3779,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3780,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3779, 3778])).
% 41.08/26.73 tff(3781,plain,
% 41.08/26.73 ((~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3780, 823, 3611])).
% 41.08/26.73 tff(3782,plain,
% 41.08/26.73 (~v127(constB25, bitIndex1)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3781, 3774])).
% 41.08/26.73 tff(3783,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3784,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3785,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3784, 3783])).
% 41.08/26.73 tff(3786,plain,
% 41.08/26.73 (v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3785, 853, 3629])).
% 41.08/26.73 tff(3787,plain,
% 41.08/26.73 (~v129(constB26, bitIndex1)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3786, 3782])).
% 41.08/26.73 tff(3788,plain,
% 41.08/26.73 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3789,plain,
% 41.08/26.73 (((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3790,plain,
% 41.08/26.73 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))))),
% 41.08/26.73 inference(monotonicity,[status(thm)],[3789])).
% 41.08/26.73 tff(3791,plain,
% 41.08/26.73 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 41.08/26.73 inference(transitivity,[status(thm)],[3790, 3788])).
% 41.08/26.73 tff(3792,plain,
% 41.08/26.73 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3793,plain,
% 41.08/26.73 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3792, 3791])).
% 41.08/26.73 tff(3794,plain,
% 41.08/26.73 ((~v90(constB26, bitIndex1)) | (~v100(constB26))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3793, 868, 3787])).
% 41.08/26.73 tff(3795,plain,
% 41.08/26.73 (~v90(constB26, bitIndex1)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3794, 3669])).
% 41.08/26.73 tff(3796,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3797,plain,
% 41.08/26.73 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3798,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))))),
% 41.08/26.73 inference(monotonicity,[status(thm)],[3797])).
% 41.08/26.73 tff(3799,plain,
% 41.08/26.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 41.08/26.73 inference(transitivity,[status(thm)],[3798, 3796])).
% 41.08/26.73 tff(3800,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 41.08/26.73 inference(quant_inst,[status(thm)],[])).
% 41.08/26.73 tff(3801,plain,
% 41.08/26.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 41.08/26.73 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 41.08/26.73 tff(3802,plain,
% 41.08/26.73 (v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3801, 444, 3718])).
% 41.08/26.73 tff(3803,plain,
% 41.08/26.73 (v90(constB26, bitIndex1) | (~v90(constB27, bitIndex1))),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3802, 3730])).
% 41.08/26.73 tff(3804,plain,
% 41.08/26.73 (~v90(constB27, bitIndex1)),
% 41.08/26.73 inference(unit_resolution,[status(thm)],[3803, 3795])).
% 41.08/26.73 tff(3805,assumption,(~v120(constB27)), introduced(assumption)).
% 41.08/26.73 tff(3806,plain,
% 41.08/26.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 41.08/26.73 inference(rewrite,[status(thm)],[])).
% 41.08/26.73 tff(3807,plain,
% 41.08/26.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3808,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 41.08/26.74 tff(3809,plain,
% 41.08/26.74 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3808, 1619, 3805])).
% 41.08/26.74 tff(3810,plain,
% 41.08/26.74 ($false),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3809, 3804, 3770, 3739])).
% 41.08/26.74 tff(3811,plain,((~v123(constB23)) | v120(constB27) | v120(constB25)), inference(lemma,lemma(discharge,[]))).
% 41.08/26.74 tff(3812,plain,
% 41.08/26.74 (v120(constB27)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3811, 3517, 3387])).
% 41.08/26.74 tff(3813,plain,
% 41.08/26.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3814,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3815,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3814, 3813])).
% 41.08/26.74 tff(3816,plain,
% 41.08/26.74 (~v130(constB27, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3815, 1732, 3812])).
% 41.08/26.74 tff(3817,assumption,(v26(constB27)), introduced(assumption)).
% 41.08/26.74 tff(3818,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3819,plain,
% 41.08/26.74 ($false),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3818, 95, 3817])).
% 41.08/26.74 tff(3820,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 41.08/26.74 tff(3821,plain,
% 41.08/26.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3822,plain,
% 41.08/26.74 ((v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2))) <=> ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3823,plain,
% 41.08/26.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)))),
% 41.08/26.74 inference(monotonicity,[status(thm)],[3822])).
% 41.08/26.74 tff(3824,plain,
% 41.08/26.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 41.08/26.74 inference(transitivity,[status(thm)],[3823, 3821])).
% 41.08/26.74 tff(3825,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3826,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3825, 3824])).
% 41.08/26.74 tff(3827,plain,
% 41.08/26.74 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3826, 1419, 3820])).
% 41.08/26.74 tff(3828,plain,
% 41.08/26.74 (~v127(constB27, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3827, 3816])).
% 41.08/26.74 tff(3829,plain,
% 41.08/26.74 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3830,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 41.08/26.74 tff(3831,plain,
% 41.08/26.74 (nextState(constB27, constB28)),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3830, 3829])).
% 41.08/26.74 tff(3832,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3833,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3834,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3833, 3832])).
% 41.08/26.74 tff(3835,plain,
% 41.08/26.74 (v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3834, 1437, 3831])).
% 41.08/26.74 tff(3836,plain,
% 41.08/26.74 (~v129(constB28, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3835, 3828])).
% 41.08/26.74 tff(3837,plain,
% 41.08/26.74 (v130(constB23, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3528, 1074, 3387])).
% 41.08/26.74 tff(3838,plain,
% 41.08/26.74 (v127(constB23, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3533, 3837])).
% 41.08/26.74 tff(3839,plain,
% 41.08/26.74 (v129(constB24, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3538, 3838])).
% 41.08/26.74 tff(3840,plain,
% 41.08/26.74 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3545, 641, 3839])).
% 41.08/26.74 tff(3841,plain,
% 41.08/26.74 (v90(constB24, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3840, 3464])).
% 41.08/26.74 tff(3842,plain,
% 41.08/26.74 (v90(constB25, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3555, 3841])).
% 41.08/26.74 tff(3843,plain,
% 41.08/26.74 (~v130(constB23, bitIndex0)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3565, 1208, 3387])).
% 41.08/26.74 tff(3844,plain,
% 41.08/26.74 (~v127(constB23, bitIndex0)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3573, 3843])).
% 41.08/26.74 tff(3845,plain,
% 41.08/26.74 (~v129(constB24, bitIndex0)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3578, 3844])).
% 41.08/26.74 tff(3846,plain,
% 41.08/26.74 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3585, 952, 3845])).
% 41.08/26.74 tff(3847,plain,
% 41.08/26.74 (~v90(constB24, bitIndex0)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3846, 3464])).
% 41.08/26.74 tff(3848,plain,
% 41.08/26.74 (~v90(constB25, bitIndex0)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3595, 3847])).
% 41.08/26.74 tff(3849,plain,
% 41.08/26.74 (v125(constB25)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3599, 1252, 3848, 3513, 3842])).
% 41.08/26.74 tff(3850,plain,
% 41.08/26.74 (v113(constB25)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3606, 1263, 3849])).
% 41.08/26.74 tff(3851,plain,
% 41.08/26.74 (v112(constB25)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3618, 3850])).
% 41.08/26.74 tff(3852,plain,
% 41.08/26.74 (v108(constB25)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3625, 746, 3851])).
% 41.08/26.74 tff(3853,plain,
% 41.08/26.74 (v110(constB26)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3636, 3852])).
% 41.08/26.74 tff(3854,plain,
% 41.08/26.74 (v100(constB26)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3668, 3853])).
% 41.08/26.74 tff(3855,plain,
% 41.08/26.74 (~v123(constB25)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3684, 1358, 3513])).
% 41.08/26.74 tff(3856,plain,
% 41.08/26.74 (~v119(constB25)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3680, 1380, 3513])).
% 41.08/26.74 tff(3857,plain,
% 41.08/26.74 (~v122(constB25)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3676, 1347, 3842])).
% 41.08/26.74 tff(3858,assumption,(v130(constB25, bitIndex2)), introduced(assumption)).
% 41.08/26.74 tff(3859,assumption,(~v123(constB25)), introduced(assumption)).
% 41.08/26.74 tff(3860,assumption,(~v122(constB25)), introduced(assumption)).
% 41.08/26.74 tff(3861,assumption,(~v119(constB25)), introduced(assumption)).
% 41.08/26.74 tff(3862,plain,
% 41.08/26.74 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 41.08/26.74 inference(bind,[status(th)],[])).
% 41.08/26.74 tff(3863,plain,
% 41.08/26.74 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 41.08/26.74 inference(quant_intro,[status(thm)],[3862])).
% 41.08/26.74 tff(3864,plain,
% 41.08/26.74 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3865,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 41.08/26.74 tff(3866,plain,
% 41.08/26.74 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 41.08/26.74 tff(3867,plain,(
% 41.08/26.74 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 41.08/26.74 inference(skolemize,[status(sab)],[3866])).
% 41.08/26.74 tff(3868,plain,
% 41.08/26.74 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3867, 3863])).
% 41.08/26.74 tff(3869,plain,
% 41.08/26.74 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB25)) | (~v130(constB25, bitIndex2)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3870,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB25)) | (~v130(constB25, bitIndex2)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3871,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB25)) | (~v130(constB25, bitIndex2))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3870, 3869])).
% 41.08/26.74 tff(3872,plain,
% 41.08/26.74 (~v124(constB25)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3871, 3868, 3858])).
% 41.08/26.74 tff(3873,plain,
% 41.08/26.74 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3874,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3875,plain,
% 41.08/26.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3874, 3873])).
% 41.08/26.74 tff(3876,plain,
% 41.08/26.74 (~v121(constB25)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3875, 1990, 3858])).
% 41.08/26.74 tff(3877,plain,
% 41.08/26.74 (v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3693, 1405, 3690])).
% 41.08/26.74 tff(3878,plain,
% 41.08/26.74 ($false),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3877, 3876, 3872, 3861, 3860, 3859, 3858])).
% 41.08/26.74 tff(3879,plain,((~v130(constB25, bitIndex2)) | v119(constB25) | v122(constB25) | v123(constB25) | v120(constB25)), inference(lemma,lemma(discharge,[]))).
% 41.08/26.74 tff(3880,plain,
% 41.08/26.74 (~v130(constB25, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3879, 3857, 3517, 3856, 3855])).
% 41.08/26.74 tff(3881,plain,
% 41.08/26.74 (~v127(constB25, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3701, 3880])).
% 41.08/26.74 tff(3882,plain,
% 41.08/26.74 (~v129(constB26, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3706, 3881])).
% 41.08/26.74 tff(3883,plain,
% 41.08/26.74 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3710, 1452, 3882])).
% 41.08/26.74 tff(3884,plain,
% 41.08/26.74 (~v90(constB26, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3883, 3854])).
% 41.08/26.74 tff(3885,plain,
% 41.08/26.74 (~v90(constB27, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3738, 3884])).
% 41.08/26.74 tff(3886,assumption,(~v90(constB27, bitIndex2)), introduced(assumption)).
% 41.08/26.74 tff(3887,assumption,(~v100(constB28)), introduced(assumption)).
% 41.08/26.74 tff(3888,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3889,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3890,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 41.08/26.74 tff(3891,plain,
% 41.08/26.74 (~v104(constB28)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3890, 659, 3831, 3715])).
% 41.08/26.74 tff(3892,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3893,plain,
% 41.08/26.74 (((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)) <=> ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3894,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28)))),
% 41.08/26.74 inference(monotonicity,[status(thm)],[3893])).
% 41.08/26.74 tff(3895,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 41.08/26.74 inference(transitivity,[status(thm)],[3894, 3892])).
% 41.08/26.74 tff(3896,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3897,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28)),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 41.08/26.74 tff(3898,plain,
% 41.08/26.74 (v104(constB28) | v102(constB28)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3897, 673, 3831])).
% 41.08/26.74 tff(3899,plain,
% 41.08/26.74 (v102(constB28)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3898, 3891])).
% 41.08/26.74 tff(3900,plain,
% 41.08/26.74 (v1(constB28) <=> v1(constB28)),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3901,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 41.08/26.74 tff(3902,plain,
% 41.08/26.74 (v1(constB28)),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3901, 3900])).
% 41.08/26.74 tff(3903,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3904,plain,
% 41.08/26.74 (((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))) <=> ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3905,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28))))),
% 41.08/26.74 inference(monotonicity,[status(thm)],[3904])).
% 41.08/26.74 tff(3906,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 41.08/26.74 inference(transitivity,[status(thm)],[3905, 3903])).
% 41.08/26.74 tff(3907,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3908,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 41.08/26.74 tff(3909,plain,
% 41.08/26.74 (v101(constB28) | (~v102(constB28))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3908, 694, 3831, 3902])).
% 41.08/26.74 tff(3910,plain,
% 41.08/26.74 (v101(constB28)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3909, 3899])).
% 41.08/26.74 tff(3911,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3912,plain,
% 41.08/26.74 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3913,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 41.08/26.74 inference(monotonicity,[status(thm)],[3912])).
% 41.08/26.74 tff(3914,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 41.08/26.74 inference(transitivity,[status(thm)],[3913, 3911])).
% 41.08/26.74 tff(3915,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3916,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 41.08/26.74 tff(3917,plain,
% 41.08/26.74 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3916, 712, 3831])).
% 41.08/26.74 tff(3918,plain,
% 41.08/26.74 (v100(constB28) | (~v110(constB28))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3917, 3910])).
% 41.08/26.74 tff(3919,plain,
% 41.08/26.74 (~v110(constB28)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3918, 3887])).
% 41.08/26.74 tff(3920,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3921,plain,
% 41.08/26.74 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3922,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 41.08/26.74 inference(monotonicity,[status(thm)],[3921])).
% 41.08/26.74 tff(3923,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 41.08/26.74 inference(transitivity,[status(thm)],[3922, 3920])).
% 41.08/26.74 tff(3924,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3925,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 41.08/26.74 tff(3926,plain,
% 41.08/26.74 (v110(constB28) | (~v108(constB27))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3925, 731, 3831])).
% 41.08/26.74 tff(3927,plain,
% 41.08/26.74 (~v108(constB27)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3926, 3919])).
% 41.08/26.74 tff(3928,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3929,plain,
% 41.08/26.74 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2))) <=> (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3930,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2))))),
% 41.08/26.74 inference(monotonicity,[status(thm)],[3929])).
% 41.08/26.74 tff(3931,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 41.08/26.74 inference(transitivity,[status(thm)],[3930, 3928])).
% 41.08/26.74 tff(3932,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3933,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 41.08/26.74 tff(3934,plain,
% 41.08/26.74 (v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3933, 423, 3831])).
% 41.08/26.74 tff(3935,plain,
% 41.08/26.74 (~v90(constB28, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3934, 3886, 3887])).
% 41.08/26.74 tff(3936,assumption,(~v90(constB28, bitIndex2)), introduced(assumption)).
% 41.08/26.74 tff(3937,assumption,(~v108(constB27)), introduced(assumption)).
% 41.08/26.74 tff(3938,plain,
% 41.08/26.74 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 41.08/26.74 inference(bind,[status(th)],[])).
% 41.08/26.74 tff(3939,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 41.08/26.74 inference(quant_intro,[status(thm)],[3938])).
% 41.08/26.74 tff(3940,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3941,plain,
% 41.08/26.74 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))))),
% 41.08/26.74 inference(bind,[status(th)],[])).
% 41.08/26.74 tff(3942,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 41.08/26.74 inference(quant_intro,[status(thm)],[3941])).
% 41.08/26.74 tff(3943,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 41.08/26.74 tff(3944,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3943, 3942])).
% 41.08/26.74 tff(3945,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3944, 3940])).
% 41.08/26.74 tff(3946,plain,(
% 41.08/26.74 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 41.08/26.74 inference(skolemize,[status(sab)],[3945])).
% 41.08/26.74 tff(3947,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3946, 3939])).
% 41.08/26.74 tff(3948,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3949,plain,
% 41.08/26.74 (((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28))) <=> ((~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3950,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27)))),
% 41.08/26.74 inference(monotonicity,[status(thm)],[3949])).
% 41.08/26.74 tff(3951,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))),
% 41.08/26.74 inference(transitivity,[status(thm)],[3950, 3948])).
% 41.08/26.74 tff(3952,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3953,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27)),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 41.08/26.74 tff(3954,plain,
% 41.08/26.74 ((~v110(constB28)) | v108(constB27)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3953, 3947, 3831])).
% 41.08/26.74 tff(3955,plain,
% 41.08/26.74 (~v110(constB28)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3954, 3937])).
% 41.08/26.74 tff(3956,plain,
% 41.08/26.74 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 41.08/26.74 inference(bind,[status(th)],[])).
% 41.08/26.74 tff(3957,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 41.08/26.74 inference(quant_intro,[status(thm)],[3956])).
% 41.08/26.74 tff(3958,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3959,plain,
% 41.08/26.74 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))))),
% 41.08/26.74 inference(bind,[status(th)],[])).
% 41.08/26.74 tff(3960,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 41.08/26.74 inference(quant_intro,[status(thm)],[3959])).
% 41.08/26.74 tff(3961,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 41.08/26.74 tff(3962,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 41.08/26.74 tff(3963,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3962, 3958])).
% 41.08/26.74 tff(3964,plain,(
% 41.08/26.74 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 41.08/26.74 inference(skolemize,[status(sab)],[3963])).
% 41.08/26.74 tff(3965,plain,
% 41.08/26.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3964, 3957])).
% 41.08/26.74 tff(3966,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28)))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3967,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28)))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3968,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28))),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 41.08/26.74 tff(3969,plain,
% 41.08/26.74 (v110(constB28) | (~v100(constB28))),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3968, 3965, 3831])).
% 41.08/26.74 tff(3970,plain,
% 41.08/26.74 (~v100(constB28)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3969, 3955])).
% 41.08/26.74 tff(3971,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3972,plain,
% 41.08/26.74 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2)) <=> ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3973,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2)))),
% 41.08/26.74 inference(monotonicity,[status(thm)],[3972])).
% 41.08/26.74 tff(3974,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 41.08/26.74 inference(transitivity,[status(thm)],[3973, 3971])).
% 41.08/26.74 tff(3975,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))),
% 41.08/26.74 inference(quant_inst,[status(thm)],[])).
% 41.08/26.74 tff(3976,plain,
% 41.08/26.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2)),
% 41.08/26.74 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 41.08/26.74 tff(3977,plain,
% 41.08/26.74 ((~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3976, 783, 3831])).
% 41.08/26.74 tff(3978,plain,
% 41.08/26.74 (~v90(constB27, bitIndex2)),
% 41.08/26.74 inference(unit_resolution,[status(thm)],[3977, 3970, 3936])).
% 41.08/26.74 tff(3979,assumption,(~v90(constB28, bitIndex0)), introduced(assumption)).
% 41.08/26.74 tff(3980,assumption,(~v90(constB28, bitIndex1)), introduced(assumption)).
% 41.08/26.74 tff(3981,plain,
% 41.08/26.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 41.08/26.74 inference(rewrite,[status(thm)],[])).
% 41.08/26.74 tff(3982,plain,
% 41.08/26.74 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1)) <=> ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(3983,plain,
% 41.08/26.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1)))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[3982])).
% 41.08/26.75 tff(3984,plain,
% 41.08/26.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 41.08/26.75 inference(transitivity,[status(thm)],[3983, 3981])).
% 41.08/26.75 tff(3985,plain,
% 41.08/26.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(3986,plain,
% 41.08/26.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[3985, 3984])).
% 41.08/26.75 tff(3987,plain,
% 41.08/26.75 ((~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[3986, 1192, 3831])).
% 41.08/26.75 tff(3988,plain,
% 41.08/26.75 (~v90(constB27, bitIndex1)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[3987, 3970, 3980])).
% 41.08/26.75 tff(3989,plain,
% 41.08/26.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(3990,plain,
% 41.08/26.75 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0)) <=> ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(3991,plain,
% 41.08/26.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0)))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[3990])).
% 41.08/26.75 tff(3992,plain,
% 41.08/26.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 41.08/26.75 inference(transitivity,[status(thm)],[3991, 3989])).
% 41.08/26.75 tff(3993,plain,
% 41.08/26.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(3994,plain,
% 41.08/26.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 41.08/26.75 tff(3995,plain,
% 41.08/26.75 ((~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[3994, 1600, 3831])).
% 41.08/26.75 tff(3996,plain,
% 41.08/26.75 (~v90(constB27, bitIndex0)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[3995, 3970, 3979])).
% 41.08/26.75 tff(3997,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(3998,plain,
% 41.08/26.75 ((v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)) <=> (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(3999,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27)))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[3998])).
% 41.08/26.75 tff(4000,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))),
% 41.08/26.75 inference(transitivity,[status(thm)],[3999, 3997])).
% 41.08/26.75 tff(4001,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4002,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4001, 4000])).
% 41.08/26.75 tff(4003,plain,
% 41.08/26.75 (v119(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4002, 486, 3996, 3988, 3978])).
% 41.08/26.75 tff(4004,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB27)) | v118(constB27))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4005,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4006,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB27)) | v118(constB27)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4005, 4004])).
% 41.08/26.75 tff(4007,plain,
% 41.08/26.75 (v118(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4006, 500, 4003])).
% 41.08/26.75 tff(4008,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4009,plain,
% 41.08/26.75 (((~v118(constB27)) | v117(constB27)) <=> (v117(constB27) | (~v118(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4010,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27))))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[4009])).
% 41.08/26.75 tff(4011,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 41.08/26.75 inference(transitivity,[status(thm)],[4010, 4008])).
% 41.08/26.75 tff(4012,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4013,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4012, 4011])).
% 41.08/26.75 tff(4014,plain,
% 41.08/26.75 (v117(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4013, 511, 4007])).
% 41.08/26.75 tff(4015,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4016,plain,
% 41.08/26.75 (((~v117(constB27)) | v116(constB27)) <=> (v116(constB27) | (~v117(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4017,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27))))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[4016])).
% 41.08/26.75 tff(4018,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 41.08/26.75 inference(transitivity,[status(thm)],[4017, 4015])).
% 41.08/26.75 tff(4019,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4020,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 41.08/26.75 tff(4021,plain,
% 41.08/26.75 (v116(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4020, 525, 4014])).
% 41.08/26.75 tff(4022,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4023,plain,
% 41.08/26.75 (((~v112(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v112(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4024,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27))))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[4023])).
% 41.08/26.75 tff(4025,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 41.08/26.75 inference(transitivity,[status(thm)],[4024, 4022])).
% 41.08/26.75 tff(4026,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4027,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 41.08/26.75 tff(4028,plain,
% 41.08/26.75 (~v112(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4027, 746, 3937])).
% 41.08/26.75 tff(4029,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4030,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4031,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4030, 4029])).
% 41.08/26.75 tff(4032,plain,
% 41.08/26.75 ((~v113(constB27)) | v112(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4031, 581, 3820])).
% 41.08/26.75 tff(4033,plain,
% 41.08/26.75 (~v113(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4032, 4028])).
% 41.08/26.75 tff(4034,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4035,plain,
% 41.08/26.75 (((~v114(constB27)) | v113(constB27)) <=> (v113(constB27) | (~v114(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4036,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB27) | (~v114(constB27))))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[4035])).
% 41.08/26.75 tff(4037,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27)))),
% 41.08/26.75 inference(transitivity,[status(thm)],[4036, 4034])).
% 41.08/26.75 tff(4038,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4039,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 41.08/26.75 tff(4040,plain,
% 41.08/26.75 (~v114(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4039, 567, 4033])).
% 41.08/26.75 tff(4041,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4042,plain,
% 41.08/26.75 (((~v115(constB27)) | v114(constB27)) <=> (v114(constB27) | (~v115(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4043,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27))))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[4042])).
% 41.08/26.75 tff(4044,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 41.08/26.75 inference(transitivity,[status(thm)],[4043, 4041])).
% 41.08/26.75 tff(4045,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4046,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4045, 4044])).
% 41.08/26.75 tff(4047,plain,
% 41.08/26.75 (~v115(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4046, 553, 4040])).
% 41.08/26.75 tff(4048,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4049,plain,
% 41.08/26.75 (((~v116(constB27)) | v115(constB27)) <=> (v115(constB27) | (~v116(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4050,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27))))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[4049])).
% 41.08/26.75 tff(4051,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 41.08/26.75 inference(transitivity,[status(thm)],[4050, 4048])).
% 41.08/26.75 tff(4052,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4053,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4052, 4051])).
% 41.08/26.75 tff(4054,plain,
% 41.08/26.75 ($false),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4053, 539, 4047, 4021])).
% 41.08/26.75 tff(4055,plain,(v108(constB27) | v90(constB28, bitIndex1) | v90(constB28, bitIndex0) | v90(constB28, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.08/26.75 tff(4056,plain,
% 41.08/26.75 (v108(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4055, 3980, 3979, 3936])).
% 41.08/26.75 tff(4057,plain,
% 41.08/26.75 (v110(constB28)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[3926, 4056])).
% 41.08/26.75 tff(4058,plain,
% 41.08/26.75 (v100(constB28)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[3918, 4057])).
% 41.08/26.75 tff(4059,plain,
% 41.08/26.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4060,plain,
% 41.08/26.75 ((v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4061,plain,
% 41.08/26.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28))))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[4060])).
% 41.08/26.75 tff(4062,plain,
% 41.08/26.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28)))),
% 41.08/26.75 inference(transitivity,[status(thm)],[4061, 4059])).
% 41.08/26.75 tff(4063,plain,
% 41.08/26.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~v100(constB28)) | (~v129(constB28, bitIndex0)))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4064,plain,
% 41.08/26.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~v129(constB28, bitIndex0)) | (~v100(constB28))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4063, 4062])).
% 41.08/26.75 tff(4065,plain,
% 41.08/26.75 ((~v129(constB28, bitIndex0)) | (~v100(constB28))),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4064, 1582, 3979])).
% 41.08/26.75 tff(4066,plain,
% 41.08/26.75 (~v129(constB28, bitIndex0)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4065, 4058])).
% 41.08/26.75 tff(4067,plain,
% 41.08/26.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4068,plain,
% 41.08/26.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4069,plain,
% 41.08/26.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 41.08/26.75 tff(4070,plain,
% 41.08/26.75 ((~v127(constB27, bitIndex0)) | v129(constB28, bitIndex0)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4069, 1567, 3831])).
% 41.08/26.75 tff(4071,plain,
% 41.08/26.75 (~v127(constB27, bitIndex0)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4070, 4066])).
% 41.08/26.75 tff(4072,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4073,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4074,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB27) | (~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4073, 4072])).
% 41.08/26.75 tff(4075,plain,
% 41.08/26.75 ((~v130(constB27, bitIndex0)) | v127(constB27, bitIndex0)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4074, 1552, 3820])).
% 41.08/26.75 tff(4076,plain,
% 41.08/26.75 (~v130(constB27, bitIndex0)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4075, 4071])).
% 41.08/26.75 tff(4077,plain,
% 41.08/26.75 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 41.08/26.75 inference(bind,[status(th)],[])).
% 41.08/26.75 tff(4078,plain,
% 41.08/26.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.08/26.75 inference(quant_intro,[status(thm)],[4077])).
% 41.08/26.75 tff(4079,plain,
% 41.08/26.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4080,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 41.08/26.75 tff(4081,plain,
% 41.08/26.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 41.08/26.75 tff(4082,plain,(
% 41.08/26.75 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.08/26.75 inference(skolemize,[status(sab)],[4081])).
% 41.08/26.75 tff(4083,plain,
% 41.08/26.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4082, 4078])).
% 41.08/26.75 tff(4084,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB27)) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB27)) | v130(constB27, bitIndex0))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4085,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB27)) | v130(constB27, bitIndex0))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4086,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB27)) | v130(constB27, bitIndex0)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4085, 4084])).
% 41.08/26.75 tff(4087,plain,
% 41.08/26.75 (~v124(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4086, 4083, 4076])).
% 41.08/26.75 tff(4088,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB27)) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB27)) | v130(constB27, bitIndex0))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4089,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB27)) | v130(constB27, bitIndex0))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4090,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB27)) | v130(constB27, bitIndex0)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4089, 4088])).
% 41.08/26.75 tff(4091,plain,
% 41.08/26.75 (~v121(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4090, 2088, 4076])).
% 41.08/26.75 tff(4092,plain,
% 41.08/26.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4093,plain,
% 41.08/26.75 ((v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4094,plain,
% 41.08/26.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28))))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[4093])).
% 41.08/26.75 tff(4095,plain,
% 41.08/26.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28)))),
% 41.08/26.75 inference(transitivity,[status(thm)],[4094, 4092])).
% 41.08/26.75 tff(4096,plain,
% 41.08/26.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~v100(constB28)) | (~v129(constB28, bitIndex2)))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4097,plain,
% 41.08/26.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~v129(constB28, bitIndex2)) | (~v100(constB28))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4096, 4095])).
% 41.08/26.75 tff(4098,plain,
% 41.08/26.75 ((~v129(constB28, bitIndex2)) | (~v100(constB28))),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4097, 641, 3936])).
% 41.08/26.75 tff(4099,plain,
% 41.08/26.75 (~v129(constB28, bitIndex2)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4098, 4058])).
% 41.08/26.75 tff(4100,plain,
% 41.08/26.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4101,plain,
% 41.08/26.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4102,plain,
% 41.08/26.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4101, 4100])).
% 41.08/26.75 tff(4103,plain,
% 41.08/26.75 ((~v127(constB27, bitIndex2)) | v129(constB28, bitIndex2)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4102, 625, 3831])).
% 41.08/26.75 tff(4104,plain,
% 41.08/26.75 (~v127(constB27, bitIndex2)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4103, 4099])).
% 41.08/26.75 tff(4105,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4106,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4107,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB27) | (~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4106, 4105])).
% 41.08/26.75 tff(4108,plain,
% 41.08/26.75 ((~v130(constB27, bitIndex2)) | v127(constB27, bitIndex2)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4107, 607, 3820])).
% 41.08/26.75 tff(4109,plain,
% 41.08/26.75 (~v130(constB27, bitIndex2)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4108, 4104])).
% 41.08/26.75 tff(4110,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB27)) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB27)) | v130(constB27, bitIndex2))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4111,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB27)) | v130(constB27, bitIndex2))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4112,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB27)) | v130(constB27, bitIndex2)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4111, 4110])).
% 41.08/26.75 tff(4113,plain,
% 41.08/26.75 (~v119(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4112, 593, 4109])).
% 41.08/26.75 tff(4114,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB27)) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB27)) | v130(constB27, bitIndex2))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4115,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB27)) | v130(constB27, bitIndex2))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4116,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB27)) | v130(constB27, bitIndex2)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 41.08/26.75 tff(4117,plain,
% 41.08/26.75 (~v122(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4116, 2224, 4109])).
% 41.08/26.75 tff(4118,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB27)) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB27)) | v130(constB27, bitIndex2))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4119,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB27)) | v130(constB27, bitIndex2))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4120,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB27)) | v130(constB27, bitIndex2)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 41.08/26.75 tff(4121,plain,
% 41.08/26.75 (~v123(constB27)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4120, 1074, 4109])).
% 41.08/26.75 tff(4122,plain,
% 41.08/26.75 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v90(VarCurr, bitIndex1)))),
% 41.08/26.75 inference(bind,[status(th)],[])).
% 41.08/26.75 tff(4123,plain,
% 41.08/26.75 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 41.08/26.75 inference(quant_intro,[status(thm)],[4122])).
% 41.08/26.75 tff(4124,plain,
% 41.08/26.75 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4125,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 41.08/26.75 tff(4126,plain,
% 41.08/26.75 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4125, 4124])).
% 41.08/26.75 tff(4127,plain,(
% 41.08/26.75 ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 41.08/26.75 inference(skolemize,[status(sab)],[4126])).
% 41.08/26.75 tff(4128,plain,
% 41.08/26.75 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4127, 4123])).
% 41.08/26.75 tff(4129,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB28)) | v90(constB28, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB28)) | v90(constB28, bitIndex1))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4130,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB28)) | v90(constB28, bitIndex1))),
% 41.08/26.75 inference(quant_inst,[status(thm)],[])).
% 41.08/26.75 tff(4131,plain,
% 41.08/26.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB28)) | v90(constB28, bitIndex1)),
% 41.08/26.75 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 41.08/26.75 tff(4132,plain,
% 41.08/26.75 (~v121(constB28)),
% 41.08/26.75 inference(unit_resolution,[status(thm)],[4131, 4128, 3980])).
% 41.08/26.75 tff(4133,assumption,(v120(constB27)), introduced(assumption)).
% 41.08/26.75 tff(4134,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v120(constB27)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v120(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4135,plain,
% 41.08/26.75 (((~v120(constB27)) | v118(constB27)) <=> (v118(constB27) | (~v120(constB27)))),
% 41.08/26.75 inference(rewrite,[status(thm)],[])).
% 41.08/26.75 tff(4136,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v120(constB27))))),
% 41.08/26.75 inference(monotonicity,[status(thm)],[4135])).
% 41.08/26.75 tff(4137,plain,
% 41.08/26.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v120(constB27)))),
% 41.08/26.76 inference(transitivity,[status(thm)],[4136, 4134])).
% 41.08/26.76 tff(4138,plain,
% 41.08/26.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))),
% 41.08/26.76 inference(quant_inst,[status(thm)],[])).
% 41.08/26.76 tff(4139,plain,
% 41.08/26.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v120(constB27))),
% 41.08/26.76 inference(modus_ponens,[status(thm)],[4138, 4137])).
% 41.08/26.76 tff(4140,plain,
% 41.08/26.76 (v118(constB27)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4139, 1630, 4133])).
% 41.08/26.76 tff(4141,plain,
% 41.08/26.76 (v117(constB27)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4013, 511, 4140])).
% 41.08/26.76 tff(4142,plain,
% 41.08/26.76 (v116(constB27)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4020, 525, 4141])).
% 41.08/26.76 tff(4143,plain,
% 41.08/26.76 (v115(constB27)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4053, 539, 4142])).
% 41.08/26.76 tff(4144,plain,
% 41.08/26.76 (v114(constB27)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4046, 553, 4143])).
% 41.08/26.76 tff(4145,plain,
% 41.08/26.76 (v113(constB27)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4039, 567, 4144])).
% 41.08/26.76 tff(4146,plain,
% 41.08/26.76 (v112(constB27)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4032, 4145])).
% 41.08/26.76 tff(4147,plain,
% 41.08/26.76 (v108(constB27)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4027, 746, 4146])).
% 41.08/26.76 tff(4148,plain,
% 41.08/26.76 (v110(constB28)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[3926, 4147])).
% 41.08/26.76 tff(4149,plain,
% 41.08/26.76 (v100(constB28)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[3918, 4148])).
% 41.08/26.76 tff(4150,plain,
% 41.08/26.76 (~v130(constB27, bitIndex2)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[3815, 1732, 4133])).
% 41.08/26.76 tff(4151,plain,
% 41.08/26.76 (~v127(constB27, bitIndex2)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[3827, 4150])).
% 41.08/26.76 tff(4152,plain,
% 41.08/26.76 (~v129(constB28, bitIndex2)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[3835, 4151])).
% 41.08/26.76 tff(4153,plain,
% 41.08/26.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 41.08/26.76 inference(rewrite,[status(thm)],[])).
% 41.08/26.76 tff(4154,plain,
% 41.08/26.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 41.08/26.76 inference(quant_inst,[status(thm)],[])).
% 41.08/26.76 tff(4155,plain,
% 41.08/26.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))),
% 41.08/26.76 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 41.08/26.76 tff(4156,plain,
% 41.08/26.76 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4155, 1452, 4152])).
% 41.08/26.76 tff(4157,plain,
% 41.08/26.76 (~v90(constB28, bitIndex2)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4156, 4149])).
% 41.08/26.76 tff(4158,plain,
% 41.08/26.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1))),
% 41.08/26.76 inference(rewrite,[status(thm)],[])).
% 41.08/26.76 tff(4159,plain,
% 41.08/26.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))),
% 41.08/26.76 inference(quant_inst,[status(thm)],[])).
% 41.08/26.76 tff(4160,plain,
% 41.08/26.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1)),
% 41.08/26.76 inference(modus_ponens,[status(thm)],[4159, 4158])).
% 41.08/26.76 tff(4161,plain,
% 41.08/26.76 (v130(constB27, bitIndex1)),
% 41.08/26.76 inference(unit_resolution,[status(thm)],[4160, 1788, 4133])).
% 41.08/26.76 tff(4162,plain,
% 41.08/26.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4163,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4164,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4163, 4162])).
% 41.16/26.76 tff(4165,plain,
% 41.16/26.76 ((~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4164, 1144, 3820])).
% 41.16/26.76 tff(4166,plain,
% 41.16/26.76 (v127(constB27, bitIndex1)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4165, 4161])).
% 41.16/26.76 tff(4167,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4168,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4169,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4168, 4167])).
% 41.16/26.76 tff(4170,plain,
% 41.16/26.76 ((~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4169, 1159, 3831])).
% 41.16/26.76 tff(4171,plain,
% 41.16/26.76 (v129(constB28, bitIndex1)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4170, 4166])).
% 41.16/26.76 tff(4172,plain,
% 41.16/26.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4173,plain,
% 41.16/26.76 ((v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4174,plain,
% 41.16/26.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))))),
% 41.16/26.76 inference(monotonicity,[status(thm)],[4173])).
% 41.16/26.76 tff(4175,plain,
% 41.16/26.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 41.16/26.76 inference(transitivity,[status(thm)],[4174, 4172])).
% 41.16/26.76 tff(4176,plain,
% 41.16/26.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4177,plain,
% 41.16/26.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4176, 4175])).
% 41.16/26.76 tff(4178,plain,
% 41.16/26.76 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4177, 1174, 4171])).
% 41.16/26.76 tff(4179,plain,
% 41.16/26.76 (v90(constB28, bitIndex1)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4178, 4149])).
% 41.16/26.76 tff(4180,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4181,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4182,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0))),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 41.16/26.76 tff(4183,plain,
% 41.16/26.76 (~v130(constB27, bitIndex0)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4182, 1826, 4133])).
% 41.16/26.76 tff(4184,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4185,plain,
% 41.16/26.76 ((v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0))) <=> ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4186,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)))),
% 41.16/26.76 inference(monotonicity,[status(thm)],[4185])).
% 41.16/26.76 tff(4187,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 41.16/26.76 inference(transitivity,[status(thm)],[4186, 4184])).
% 41.16/26.76 tff(4188,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4189,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4188, 4187])).
% 41.16/26.76 tff(4190,plain,
% 41.16/26.76 ((~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4189, 907, 3820])).
% 41.16/26.76 tff(4191,plain,
% 41.16/26.76 (~v127(constB27, bitIndex0)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4190, 4183])).
% 41.16/26.76 tff(4192,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4193,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4194,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 41.16/26.76 tff(4195,plain,
% 41.16/26.76 (v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4194, 937, 3831])).
% 41.16/26.76 tff(4196,plain,
% 41.16/26.76 (~v129(constB28, bitIndex0)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4195, 4191])).
% 41.16/26.76 tff(4197,plain,
% 41.16/26.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4198,plain,
% 41.16/26.76 (((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4199,plain,
% 41.16/26.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))))),
% 41.16/26.76 inference(monotonicity,[status(thm)],[4198])).
% 41.16/26.76 tff(4200,plain,
% 41.16/26.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 41.16/26.76 inference(transitivity,[status(thm)],[4199, 4197])).
% 41.16/26.76 tff(4201,plain,
% 41.16/26.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4202,plain,
% 41.16/26.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4201, 4200])).
% 41.16/26.76 tff(4203,plain,
% 41.16/26.76 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4202, 952, 4196])).
% 41.16/26.76 tff(4204,plain,
% 41.16/26.76 (~v90(constB28, bitIndex0)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4203, 4149])).
% 41.16/26.76 tff(4205,assumption,(~v121(constB28)), introduced(assumption)).
% 41.16/26.76 tff(4206,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2) | v121(constB28))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2) | v121(constB28))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4207,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2) | v121(constB28))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4208,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2) | v121(constB28)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4207, 4206])).
% 41.16/26.76 tff(4209,plain,
% 41.16/26.76 (v90(constB28, bitIndex0) | (~v90(constB28, bitIndex1)) | v90(constB28, bitIndex2)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4208, 1870, 4205])).
% 41.16/26.76 tff(4210,plain,
% 41.16/26.76 ($false),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4209, 4204, 4179, 4157])).
% 41.16/26.76 tff(4211,plain,((~v120(constB27)) | v121(constB28)), inference(lemma,lemma(discharge,[]))).
% 41.16/26.76 tff(4212,plain,
% 41.16/26.76 (~v120(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4211, 4132])).
% 41.16/26.76 tff(4213,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4214,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4215,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, bitIndex0)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4214, 4213])).
% 41.16/26.76 tff(4216,plain,
% 41.16/26.76 (v121(constB27) | v124(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4215, 1538, 4076, 4212, 4121, 4117, 4113])).
% 41.16/26.76 tff(4217,plain,
% 41.16/26.76 ($false),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4216, 4091, 4087])).
% 41.16/26.76 tff(4218,plain,(v90(constB28, bitIndex1) | v90(constB28, bitIndex0) | v90(constB28, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.16/26.76 tff(4219,plain,
% 41.16/26.76 (v90(constB28, bitIndex1)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4218, 3979, 3936])).
% 41.16/26.76 tff(4220,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4221,plain,
% 41.16/26.76 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1))) <=> (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4222,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1))))),
% 41.16/26.76 inference(monotonicity,[status(thm)],[4221])).
% 41.16/26.76 tff(4223,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 41.16/26.76 inference(transitivity,[status(thm)],[4222, 4220])).
% 41.16/26.76 tff(4224,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4225,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1))),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4224, 4223])).
% 41.16/26.76 tff(4226,plain,
% 41.16/26.76 (v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1))),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4225, 444, 3831])).
% 41.16/26.76 tff(4227,plain,
% 41.16/26.76 (v90(constB27, bitIndex1)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4226, 3970, 4219])).
% 41.16/26.76 tff(4228,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4229,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4230,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 41.16/26.76 tff(4231,plain,
% 41.16/26.76 (v121(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4230, 1870, 3996, 4227, 3978])).
% 41.16/26.76 tff(4232,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB27)) | v117(constB27))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4233,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4234,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB27)) | v117(constB27)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4233, 4232])).
% 41.16/26.76 tff(4235,plain,
% 41.16/26.76 (v117(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4234, 1881, 4231])).
% 41.16/26.76 tff(4236,plain,
% 41.16/26.76 (v116(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4020, 525, 4235])).
% 41.16/26.76 tff(4237,plain,
% 41.16/26.76 ($false),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4053, 539, 4047, 4236])).
% 41.16/26.76 tff(4238,plain,(v108(constB27) | v90(constB28, bitIndex0) | v90(constB28, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.16/26.76 tff(4239,plain,
% 41.16/26.76 (v90(constB28, bitIndex0)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4238, 3935, 3927])).
% 41.16/26.76 tff(4240,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4241,plain,
% 41.16/26.76 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0))) <=> (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4242,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0))))),
% 41.16/26.76 inference(monotonicity,[status(thm)],[4241])).
% 41.16/26.76 tff(4243,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 41.16/26.76 inference(transitivity,[status(thm)],[4242, 4240])).
% 41.16/26.76 tff(4244,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4245,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0))),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4244, 4243])).
% 41.16/26.76 tff(4246,plain,
% 41.16/26.76 (v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0))),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4245, 465, 3831])).
% 41.16/26.76 tff(4247,plain,
% 41.16/26.76 (v90(constB27, bitIndex0)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4246, 4239, 3887])).
% 41.16/26.76 tff(4248,plain,
% 41.16/26.76 (~v112(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4027, 746, 3927])).
% 41.16/26.76 tff(4249,plain,
% 41.16/26.76 (~v113(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4032, 4248])).
% 41.16/26.76 tff(4250,plain,
% 41.16/26.76 (~v114(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4039, 567, 4249])).
% 41.16/26.76 tff(4251,plain,
% 41.16/26.76 (~v115(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4046, 553, 4250])).
% 41.16/26.76 tff(4252,plain,
% 41.16/26.76 (~v116(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4053, 539, 4251])).
% 41.16/26.76 tff(4253,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB27)) | v116(constB27))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4254,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB27)) | v116(constB27))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4255,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB27)) | v116(constB27)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 41.16/26.76 tff(4256,plain,
% 41.16/26.76 (~v122(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4255, 2140, 4252])).
% 41.16/26.76 tff(4257,plain,
% 41.16/26.76 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4258,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4259,plain,
% 41.16/26.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v122(constB27)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 41.16/26.76 tff(4260,plain,
% 41.16/26.76 ((~v90(constB27, bitIndex0)) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4259, 2129, 4256])).
% 41.16/26.76 tff(4261,plain,
% 41.16/26.76 (~v90(constB27, bitIndex1)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4260, 4247, 3886])).
% 41.16/26.76 tff(4262,plain,
% 41.16/26.76 (~v117(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4020, 525, 4252])).
% 41.16/26.76 tff(4263,plain,
% 41.16/26.76 (~v118(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4013, 511, 4262])).
% 41.16/26.76 tff(4264,plain,
% 41.16/26.76 (~v120(constB27)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4139, 1630, 4263])).
% 41.16/26.76 tff(4265,plain,
% 41.16/26.76 ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[3808, 1619, 4264])).
% 41.16/26.76 tff(4266,plain,
% 41.16/26.76 ($false),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4265, 4261, 4247, 3886])).
% 41.16/26.76 tff(4267,plain,(v90(constB27, bitIndex2) | v100(constB28)), inference(lemma,lemma(discharge,[]))).
% 41.16/26.76 tff(4268,plain,
% 41.16/26.76 (v100(constB28)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4267, 3885])).
% 41.16/26.76 tff(4269,plain,
% 41.16/26.76 ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4155, 1452, 4268])).
% 41.16/26.76 tff(4270,plain,
% 41.16/26.76 (~v90(constB28, bitIndex2)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4269, 3836])).
% 41.16/26.76 tff(4271,plain,
% 41.16/26.76 ((~v1(constB29)) <=> (~v1(constB29))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4272,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 41.16/26.76 tff(4273,plain,
% 41.16/26.76 (~v1(constB29)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4272, 4271])).
% 41.16/26.76 tff(4274,plain,
% 41.16/26.76 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4275,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 41.16/26.76 tff(4276,plain,
% 41.16/26.76 (nextState(constB28, constB29)),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4275, 4274])).
% 41.16/26.76 tff(4277,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4278,plain,
% 41.16/26.76 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4279,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 41.16/26.76 inference(monotonicity,[status(thm)],[4278])).
% 41.16/26.76 tff(4280,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 41.16/26.76 inference(transitivity,[status(thm)],[4279, 4277])).
% 41.16/26.76 tff(4281,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4282,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 41.16/26.76 tff(4283,plain,
% 41.16/26.76 (~v101(constB29)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4282, 391, 4276, 4273])).
% 41.16/26.76 tff(4284,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 41.16/26.76 inference(rewrite,[status(thm)],[])).
% 41.16/26.76 tff(4285,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 41.16/26.76 inference(quant_inst,[status(thm)],[])).
% 41.16/26.76 tff(4286,plain,
% 41.16/26.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 41.16/26.76 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 41.16/26.76 tff(4287,plain,
% 41.16/26.76 (v101(constB29) | (~v100(constB29))),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4286, 408, 4276])).
% 41.16/26.76 tff(4288,plain,
% 41.16/26.76 (~v100(constB29)),
% 41.16/26.76 inference(unit_resolution,[status(thm)],[4287, 4283])).
% 41.16/26.76 tff(4289,plain,
% 41.16/26.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4290,plain,
% 41.16/26.77 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4291,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4290])).
% 41.16/26.77 tff(4292,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4291, 4289])).
% 41.16/26.77 tff(4293,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4294,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 41.16/26.77 tff(4295,plain,
% 41.16/26.77 (v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4294, 423, 4276])).
% 41.16/26.77 tff(4296,plain,
% 41.16/26.77 (v90(constB28, bitIndex2) | (~v90(constB29, bitIndex2))),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4295, 4288])).
% 41.16/26.77 tff(4297,plain,
% 41.16/26.77 (~v90(constB29, bitIndex2)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4296, 4270])).
% 41.16/26.77 tff(4298,plain,
% 41.16/26.77 (v130(constB27, bitIndex1)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4160, 1788, 3812])).
% 41.16/26.77 tff(4299,plain,
% 41.16/26.77 (v127(constB27, bitIndex1)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4165, 4298])).
% 41.16/26.77 tff(4300,plain,
% 41.16/26.77 (v129(constB28, bitIndex1)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4170, 4299])).
% 41.16/26.77 tff(4301,plain,
% 41.16/26.77 (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1))),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4177, 1174, 4268])).
% 41.16/26.77 tff(4302,plain,
% 41.16/26.77 (v90(constB28, bitIndex1)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4301, 4300])).
% 41.16/26.77 tff(4303,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4304,plain,
% 41.16/26.77 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4305,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4304])).
% 41.16/26.77 tff(4306,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4305, 4303])).
% 41.16/26.77 tff(4307,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4308,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4307, 4306])).
% 41.16/26.77 tff(4309,plain,
% 41.16/26.77 ((~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4308, 1192, 4276])).
% 41.16/26.77 tff(4310,plain,
% 41.16/26.77 ((~v90(constB28, bitIndex1)) | v90(constB29, bitIndex1)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4309, 4288])).
% 41.16/26.77 tff(4311,plain,
% 41.16/26.77 (v90(constB29, bitIndex1)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4310, 4302])).
% 41.16/26.77 tff(4312,plain,
% 41.16/26.77 (~v130(constB27, bitIndex0)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4182, 1826, 3812])).
% 41.16/26.77 tff(4313,plain,
% 41.16/26.77 (~v127(constB27, bitIndex0)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4190, 4312])).
% 41.16/26.77 tff(4314,plain,
% 41.16/26.77 (~v129(constB28, bitIndex0)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4195, 4313])).
% 41.16/26.77 tff(4315,plain,
% 41.16/26.77 ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4202, 952, 4268])).
% 41.16/26.77 tff(4316,plain,
% 41.16/26.77 (~v90(constB28, bitIndex0)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4315, 4314])).
% 41.16/26.77 tff(4317,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4318,plain,
% 41.16/26.77 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4319,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4318])).
% 41.16/26.77 tff(4320,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4319, 4317])).
% 41.16/26.77 tff(4321,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4322,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4321, 4320])).
% 41.16/26.77 tff(4323,plain,
% 41.16/26.77 (v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4322, 465, 4276])).
% 41.16/26.77 tff(4324,plain,
% 41.16/26.77 (v90(constB28, bitIndex0) | (~v90(constB29, bitIndex0))),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4323, 4288])).
% 41.16/26.77 tff(4325,plain,
% 41.16/26.77 (~v90(constB29, bitIndex0)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4324, 4316])).
% 41.16/26.77 tff(4326,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4327,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4328,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4327, 4326])).
% 41.16/26.77 tff(4329,plain,
% 41.16/26.77 (v121(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4328, 1870, 4325, 4311, 4297])).
% 41.16/26.77 tff(4330,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4331,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4332,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4331, 4330])).
% 41.16/26.77 tff(4333,plain,
% 41.16/26.77 (v130(constB29, bitIndex0)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4332, 2088, 4329])).
% 41.16/26.77 tff(4334,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4335,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4336,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4335, 4334])).
% 41.16/26.77 tff(4337,plain,
% 41.16/26.77 (~v130(constB29, bitIndex2)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4336, 1990, 4329])).
% 41.16/26.77 tff(4338,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4339,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4340,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4339, 4338])).
% 41.16/26.77 tff(4341,plain,
% 41.16/26.77 (v130(constB29, bitIndex1)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4340, 2050, 4329])).
% 41.16/26.77 tff(4342,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4343,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4344,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4343, 4342])).
% 41.16/26.77 tff(4345,plain,
% 41.16/26.77 (v117(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4344, 1881, 4329])).
% 41.16/26.77 tff(4346,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4347,plain,
% 41.16/26.77 (((~v117(constB29)) | v116(constB29)) <=> (v116(constB29) | (~v117(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4348,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4347])).
% 41.16/26.77 tff(4349,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4348, 4346])).
% 41.16/26.77 tff(4350,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4351,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4350, 4349])).
% 41.16/26.77 tff(4352,plain,
% 41.16/26.77 (v116(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4351, 525, 4345])).
% 41.16/26.77 tff(4353,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB29)) | v115(constB29))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4354,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4355,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB29)) | v115(constB29)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4354, 4353])).
% 41.16/26.77 tff(4356,plain,
% 41.16/26.77 (v115(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4355, 539, 4352])).
% 41.16/26.77 tff(4357,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4358,plain,
% 41.16/26.77 (((~v115(constB29)) | v114(constB29)) <=> (v114(constB29) | (~v115(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4359,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4358])).
% 41.16/26.77 tff(4360,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4359, 4357])).
% 41.16/26.77 tff(4361,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4362,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 41.16/26.77 tff(4363,plain,
% 41.16/26.77 (v114(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4362, 553, 4356])).
% 41.16/26.77 tff(4364,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4365,plain,
% 41.16/26.77 (((~v114(constB29)) | v113(constB29)) <=> (v113(constB29) | (~v114(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4366,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4365])).
% 41.16/26.77 tff(4367,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4366, 4364])).
% 41.16/26.77 tff(4368,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4369,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4368, 4367])).
% 41.16/26.77 tff(4370,plain,
% 41.16/26.77 (v113(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4369, 567, 4363])).
% 41.16/26.77 tff(4371,assumption,(v26(constB29)), introduced(assumption)).
% 41.16/26.77 tff(4372,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4373,plain,
% 41.16/26.77 ($false),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4372, 95, 4371])).
% 41.16/26.77 tff(4374,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 41.16/26.77 tff(4375,assumption,(~v26(constB29)), introduced(assumption)).
% 41.16/26.77 tff(4376,assumption,(v113(constB29)), introduced(assumption)).
% 41.16/26.77 tff(4377,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4378,plain,
% 41.16/26.77 ((v26(constB29) | (~v113(constB29)) | v112(constB29)) <=> (v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4379,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4378])).
% 41.16/26.77 tff(4380,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4379, 4377])).
% 41.16/26.77 tff(4381,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4382,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4381, 4380])).
% 41.16/26.77 tff(4383,plain,
% 41.16/26.77 (v26(constB29) | v112(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4382, 581, 4376])).
% 41.16/26.77 tff(4384,plain,
% 41.16/26.77 (v112(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4383, 4375])).
% 41.16/26.77 tff(4385,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4386,plain,
% 41.16/26.77 (((~v112(constB29)) | v108(constB29)) <=> (v108(constB29) | (~v112(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4387,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4386])).
% 41.16/26.77 tff(4388,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4387, 4385])).
% 41.16/26.77 tff(4389,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4390,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4389, 4388])).
% 41.16/26.77 tff(4391,plain,
% 41.16/26.77 (v108(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4390, 746, 4384])).
% 41.16/26.77 tff(4392,plain,
% 41.16/26.77 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4393,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 41.16/26.77 tff(4394,plain,
% 41.16/26.77 (nextState(constB29, constB30)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 41.16/26.77 tff(4395,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4396,plain,
% 41.16/26.77 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4397,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4396])).
% 41.16/26.77 tff(4398,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4397, 4395])).
% 41.16/26.77 tff(4399,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4400,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4399, 4398])).
% 41.16/26.77 tff(4401,plain,
% 41.16/26.77 (v110(constB30) | (~v108(constB29))),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4400, 731, 4394])).
% 41.16/26.77 tff(4402,plain,
% 41.16/26.77 (v110(constB30)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4401, 4391])).
% 41.16/26.77 tff(4403,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4404,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4405,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4404, 4403])).
% 41.16/26.77 tff(4406,plain,
% 41.16/26.77 (~v104(constB30)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4405, 659, 4394, 4273])).
% 41.16/26.77 tff(4407,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4408,plain,
% 41.16/26.77 (((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)) <=> ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4409,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30)))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4408])).
% 41.16/26.77 tff(4410,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4409, 4407])).
% 41.16/26.77 tff(4411,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4412,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4411, 4410])).
% 41.16/26.77 tff(4413,plain,
% 41.16/26.77 (v104(constB30) | v102(constB30)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4412, 673, 4394])).
% 41.16/26.77 tff(4414,plain,
% 41.16/26.77 (v102(constB30)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4413, 4406])).
% 41.16/26.77 tff(4415,plain,
% 41.16/26.77 (v1(constB30) <=> v1(constB30)),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4416,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 41.16/26.77 tff(4417,plain,
% 41.16/26.77 (v1(constB30)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4416, 4415])).
% 41.16/26.77 tff(4418,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4419,plain,
% 41.16/26.77 (((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))) <=> ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4420,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4419])).
% 41.16/26.77 tff(4421,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4420, 4418])).
% 41.16/26.77 tff(4422,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4423,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4422, 4421])).
% 41.16/26.77 tff(4424,plain,
% 41.16/26.77 (v101(constB30) | (~v102(constB30))),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4423, 694, 4394, 4417])).
% 41.16/26.77 tff(4425,plain,
% 41.16/26.77 (v101(constB30)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4424, 4414])).
% 41.16/26.77 tff(4426,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4427,plain,
% 41.16/26.77 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4428,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4427])).
% 41.16/26.77 tff(4429,plain,
% 41.16/26.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4428, 4426])).
% 41.16/26.77 tff(4430,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4431,plain,
% 41.16/26.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4430, 4429])).
% 41.16/26.77 tff(4432,plain,
% 41.16/26.77 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4431, 712, 4394])).
% 41.16/26.77 tff(4433,plain,
% 41.16/26.77 (v100(constB30) | (~v110(constB30))),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4432, 4425])).
% 41.16/26.77 tff(4434,plain,
% 41.16/26.77 (v100(constB30)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4433, 4402])).
% 41.16/26.77 tff(4435,assumption,(~v130(constB29, bitIndex2)), introduced(assumption)).
% 41.16/26.77 tff(4436,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4437,plain,
% 41.16/26.77 ((v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2))) <=> ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 41.16/26.77 inference(rewrite,[status(thm)],[])).
% 41.16/26.77 tff(4438,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)))),
% 41.16/26.77 inference(monotonicity,[status(thm)],[4437])).
% 41.16/26.77 tff(4439,plain,
% 41.16/26.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 41.16/26.77 inference(transitivity,[status(thm)],[4438, 4436])).
% 41.16/26.77 tff(4440,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))),
% 41.16/26.77 inference(quant_inst,[status(thm)],[])).
% 41.16/26.77 tff(4441,plain,
% 41.16/26.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)),
% 41.16/26.77 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 41.16/26.77 tff(4442,plain,
% 41.16/26.77 ((~v127(constB29, bitIndex2)) | v26(constB29)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4441, 1419, 4435])).
% 41.16/26.77 tff(4443,plain,
% 41.16/26.77 (~v127(constB29, bitIndex2)),
% 41.16/26.77 inference(unit_resolution,[status(thm)],[4442, 4375])).
% 41.16/26.78 tff(4444,plain,
% 41.16/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4445,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4446,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4445, 4444])).
% 41.16/26.78 tff(4447,plain,
% 41.16/26.78 (v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4446, 1437, 4394])).
% 41.16/26.78 tff(4448,plain,
% 41.16/26.78 (~v129(constB30, bitIndex2)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4447, 4443])).
% 41.16/26.78 tff(4449,plain,
% 41.16/26.78 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4450,plain,
% 41.16/26.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4451,plain,
% 41.16/26.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 41.16/26.78 tff(4452,plain,
% 41.16/26.78 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4451, 1452, 4448])).
% 41.16/26.78 tff(4453,plain,
% 41.16/26.78 (~v90(constB30, bitIndex2)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4452, 4434])).
% 41.16/26.78 tff(4454,assumption,(v130(constB29, bitIndex0)), introduced(assumption)).
% 41.16/26.78 tff(4455,plain,
% 41.16/26.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4456,plain,
% 41.16/26.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4457,plain,
% 41.16/26.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 41.16/26.78 tff(4458,plain,
% 41.16/26.78 (v26(constB29) | v127(constB29, bitIndex0)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4457, 1552, 4454])).
% 41.16/26.78 tff(4459,plain,
% 41.16/26.78 (v127(constB29, bitIndex0)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4458, 4375])).
% 41.16/26.78 tff(4460,plain,
% 41.16/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4461,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4462,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4461, 4460])).
% 41.16/26.78 tff(4463,plain,
% 41.16/26.78 ((~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4462, 1567, 4394])).
% 41.16/26.78 tff(4464,plain,
% 41.16/26.78 (v129(constB30, bitIndex0)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4463, 4459])).
% 41.16/26.78 tff(4465,plain,
% 41.16/26.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4466,plain,
% 41.16/26.78 ((v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4467,plain,
% 41.16/26.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))))),
% 41.16/26.78 inference(monotonicity,[status(thm)],[4466])).
% 41.16/26.78 tff(4468,plain,
% 41.16/26.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 41.16/26.78 inference(transitivity,[status(thm)],[4467, 4465])).
% 41.16/26.78 tff(4469,plain,
% 41.16/26.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4470,plain,
% 41.16/26.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4469, 4468])).
% 41.16/26.78 tff(4471,plain,
% 41.16/26.78 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4470, 1582, 4464])).
% 41.16/26.78 tff(4472,plain,
% 41.16/26.78 (v90(constB30, bitIndex0)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4471, 4434])).
% 41.16/26.78 tff(4473,assumption,(v130(constB29, bitIndex1)), introduced(assumption)).
% 41.16/26.78 tff(4474,plain,
% 41.16/26.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4475,plain,
% 41.16/26.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4476,plain,
% 41.16/26.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 41.16/26.78 tff(4477,plain,
% 41.16/26.78 (v26(constB29) | v127(constB29, bitIndex1)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4476, 1144, 4473])).
% 41.16/26.78 tff(4478,plain,
% 41.16/26.78 (v127(constB29, bitIndex1)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4477, 4375])).
% 41.16/26.78 tff(4479,plain,
% 41.16/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4480,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4481,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 41.16/26.78 tff(4482,plain,
% 41.16/26.78 ((~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4481, 1159, 4394])).
% 41.16/26.78 tff(4483,plain,
% 41.16/26.78 (v129(constB30, bitIndex1)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4482, 4478])).
% 41.16/26.78 tff(4484,plain,
% 41.16/26.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4485,plain,
% 41.16/26.78 ((v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4486,plain,
% 41.16/26.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))))),
% 41.16/26.78 inference(monotonicity,[status(thm)],[4485])).
% 41.16/26.78 tff(4487,plain,
% 41.16/26.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 41.16/26.78 inference(transitivity,[status(thm)],[4486, 4484])).
% 41.16/26.78 tff(4488,plain,
% 41.16/26.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4489,plain,
% 41.16/26.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4488, 4487])).
% 41.16/26.78 tff(4490,plain,
% 41.16/26.78 (v90(constB30, bitIndex1) | (~v100(constB30))),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4489, 1174, 4483])).
% 41.16/26.78 tff(4491,plain,
% 41.16/26.78 (v90(constB30, bitIndex1)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4490, 4434])).
% 41.16/26.78 tff(4492,assumption,(~v122(constB30)), introduced(assumption)).
% 41.16/26.78 tff(4493,plain,
% 41.16/26.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB30, bitIndex0)) | (~v90(constB30, bitIndex1)) | v90(constB30, bitIndex2) | v122(constB30))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB30, bitIndex0)) | (~v90(constB30, bitIndex1)) | v90(constB30, bitIndex2) | v122(constB30))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4494,plain,
% 41.16/26.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB30, bitIndex0)) | (~v90(constB30, bitIndex1)) | v90(constB30, bitIndex2) | v122(constB30))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4495,plain,
% 41.16/26.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB30, bitIndex0)) | (~v90(constB30, bitIndex1)) | v90(constB30, bitIndex2) | v122(constB30)),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4494, 4493])).
% 41.16/26.78 tff(4496,plain,
% 41.16/26.78 ((~v90(constB30, bitIndex0)) | (~v90(constB30, bitIndex1)) | v90(constB30, bitIndex2)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4495, 2129, 4492])).
% 41.16/26.78 tff(4497,plain,
% 41.16/26.78 ($false),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4496, 4491, 4472, 4453])).
% 41.16/26.78 tff(4498,plain,(v26(constB29) | v122(constB30) | (~v113(constB29)) | v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 41.16/26.78 tff(4499,plain,
% 41.16/26.78 (v122(constB30) | (~v113(constB29)) | v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0))),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4498, 4374])).
% 41.16/26.78 tff(4500,plain,
% 41.16/26.78 (v122(constB30)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4499, 4370, 4341, 4337, 4333])).
% 41.16/26.78 tff(4501,plain,
% 41.16/26.78 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB30)) | (~v90(constB30, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB30)) | (~v90(constB30, bitIndex2)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4502,plain,
% 41.16/26.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB30)) | (~v90(constB30, bitIndex2)))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4503,plain,
% 41.16/26.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB30)) | (~v90(constB30, bitIndex2))),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4502, 4501])).
% 41.16/26.78 tff(4504,plain,
% 41.16/26.78 (~v90(constB30, bitIndex2)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4503, 1347, 4500])).
% 41.16/26.78 tff(4505,plain,
% 41.16/26.78 ((~v1(constB31)) <=> (~v1(constB31))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4506,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 41.16/26.78 tff(4507,plain,
% 41.16/26.78 (~v1(constB31)),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 41.16/26.78 tff(4508,plain,
% 41.16/26.78 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4509,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 41.16/26.78 tff(4510,plain,
% 41.16/26.78 (nextState(constB30, constB31)),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4509, 4508])).
% 41.16/26.78 tff(4511,plain,
% 41.16/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4512,plain,
% 41.16/26.78 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4513,plain,
% 41.16/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 41.16/26.78 inference(monotonicity,[status(thm)],[4512])).
% 41.16/26.78 tff(4514,plain,
% 41.16/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 41.16/26.78 inference(transitivity,[status(thm)],[4513, 4511])).
% 41.16/26.78 tff(4515,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4516,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 41.16/26.78 tff(4517,plain,
% 41.16/26.78 (~v101(constB31)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4516, 391, 4510, 4507])).
% 41.16/26.78 tff(4518,plain,
% 41.16/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4519,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 41.16/26.78 inference(quant_inst,[status(thm)],[])).
% 41.16/26.78 tff(4520,plain,
% 41.16/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 41.16/26.78 inference(modus_ponens,[status(thm)],[4519, 4518])).
% 41.16/26.78 tff(4521,plain,
% 41.16/26.78 (v101(constB31) | (~v100(constB31))),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4520, 408, 4510])).
% 41.16/26.78 tff(4522,plain,
% 41.16/26.78 (~v100(constB31)),
% 41.16/26.78 inference(unit_resolution,[status(thm)],[4521, 4517])).
% 41.16/26.78 tff(4523,plain,
% 41.16/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4524,plain,
% 41.16/26.78 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 41.16/26.78 inference(rewrite,[status(thm)],[])).
% 41.16/26.78 tff(4525,plain,
% 41.16/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))))),
% 41.19/26.78 inference(monotonicity,[status(thm)],[4524])).
% 41.19/26.78 tff(4526,plain,
% 41.19/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 41.19/26.78 inference(transitivity,[status(thm)],[4525, 4523])).
% 41.19/26.78 tff(4527,plain,
% 41.19/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 41.19/26.78 inference(quant_inst,[status(thm)],[])).
% 41.19/26.78 tff(4528,plain,
% 41.19/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 41.19/26.78 inference(modus_ponens,[status(thm)],[4527, 4526])).
% 41.19/26.78 tff(4529,plain,
% 41.19/26.78 (v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4528, 423, 4510])).
% 41.19/26.78 tff(4530,plain,
% 41.19/26.78 (v90(constB30, bitIndex2) | (~v90(constB31, bitIndex2))),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4529, 4522])).
% 41.19/26.78 tff(4531,plain,
% 41.19/26.78 (~v90(constB31, bitIndex2)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4530, 4504])).
% 41.19/26.78 tff(4532,plain,
% 41.19/26.78 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ((~v122(VarCurr)) | v90(VarCurr, bitIndex0)))),
% 41.19/26.78 inference(bind,[status(th)],[])).
% 41.19/26.78 tff(4533,plain,
% 41.19/26.78 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.19/26.78 inference(quant_intro,[status(thm)],[4532])).
% 41.19/26.78 tff(4534,plain,
% 41.19/26.78 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.19/26.78 inference(rewrite,[status(thm)],[])).
% 41.19/26.78 tff(4535,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 41.19/26.78 tff(4536,plain,
% 41.19/26.78 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.19/26.78 inference(modus_ponens,[status(thm)],[4535, 4534])).
% 41.19/26.78 tff(4537,plain,(
% 41.19/26.78 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.19/26.78 inference(skolemize,[status(sab)],[4536])).
% 41.19/26.78 tff(4538,plain,
% 41.19/26.78 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.19/26.78 inference(modus_ponens,[status(thm)],[4537, 4533])).
% 41.19/26.78 tff(4539,plain,
% 41.19/26.78 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB30)) | v90(constB30, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB30)) | v90(constB30, bitIndex0))),
% 41.19/26.78 inference(rewrite,[status(thm)],[])).
% 41.19/26.78 tff(4540,plain,
% 41.19/26.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB30)) | v90(constB30, bitIndex0))),
% 41.19/26.78 inference(quant_inst,[status(thm)],[])).
% 41.19/26.78 tff(4541,plain,
% 41.19/26.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB30)) | v90(constB30, bitIndex0)),
% 41.19/26.78 inference(modus_ponens,[status(thm)],[4540, 4539])).
% 41.19/26.78 tff(4542,plain,
% 41.19/26.78 (v90(constB30, bitIndex0)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4541, 4538, 4500])).
% 41.19/26.78 tff(4543,plain,
% 41.19/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 41.19/26.78 inference(rewrite,[status(thm)],[])).
% 41.19/26.78 tff(4544,plain,
% 41.19/26.78 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 41.19/26.78 inference(rewrite,[status(thm)],[])).
% 41.19/26.78 tff(4545,plain,
% 41.19/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)))),
% 41.19/26.78 inference(monotonicity,[status(thm)],[4544])).
% 41.19/26.78 tff(4546,plain,
% 41.19/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 41.19/26.78 inference(transitivity,[status(thm)],[4545, 4543])).
% 41.19/26.78 tff(4547,plain,
% 41.19/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))),
% 41.19/26.78 inference(quant_inst,[status(thm)],[])).
% 41.19/26.78 tff(4548,plain,
% 41.19/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)),
% 41.19/26.78 inference(modus_ponens,[status(thm)],[4547, 4546])).
% 41.19/26.78 tff(4549,plain,
% 41.19/26.78 ((~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4548, 1600, 4510])).
% 41.19/26.78 tff(4550,plain,
% 41.19/26.78 ((~v90(constB30, bitIndex0)) | v90(constB31, bitIndex0)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4549, 4522])).
% 41.19/26.78 tff(4551,plain,
% 41.19/26.78 (v90(constB31, bitIndex0)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4550, 4542])).
% 41.19/26.78 tff(4552,plain,
% 41.19/26.78 (~v90(constB29, bitIndex2)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4296, 4157])).
% 41.19/26.78 tff(4553,plain,
% 41.19/26.78 (v90(constB29, bitIndex1)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4310, 4179])).
% 41.19/26.78 tff(4554,plain,
% 41.19/26.78 (~v90(constB29, bitIndex0)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4324, 4204])).
% 41.19/26.78 tff(4555,plain,
% 41.19/26.78 (v121(constB29)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4328, 1870, 4554, 4553, 4552])).
% 41.19/26.78 tff(4556,assumption,(~v90(constB30, bitIndex1)), introduced(assumption)).
% 41.19/26.78 tff(4557,plain,
% 41.19/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))),
% 41.19/26.78 inference(rewrite,[status(thm)],[])).
% 41.19/26.78 tff(4558,plain,
% 41.19/26.78 (((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1)) <=> ((~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))),
% 41.19/26.78 inference(rewrite,[status(thm)],[])).
% 41.19/26.78 tff(4559,plain,
% 41.19/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1)))),
% 41.19/26.78 inference(monotonicity,[status(thm)],[4558])).
% 41.19/26.78 tff(4560,plain,
% 41.19/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))),
% 41.19/26.78 inference(transitivity,[status(thm)],[4559, 4557])).
% 41.19/26.78 tff(4561,plain,
% 41.19/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1))),
% 41.19/26.78 inference(quant_inst,[status(thm)],[])).
% 41.19/26.78 tff(4562,plain,
% 41.19/26.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1)),
% 41.19/26.78 inference(modus_ponens,[status(thm)],[4561, 4560])).
% 41.19/26.78 tff(4563,plain,
% 41.19/26.78 ((~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4562, 1192, 4394])).
% 41.19/26.78 tff(4564,plain,
% 41.19/26.78 (v100(constB30)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4563, 4553, 4556])).
% 41.19/26.78 tff(4565,plain,
% 41.19/26.78 ((~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4489, 1174, 4556])).
% 41.19/26.78 tff(4566,plain,
% 41.19/26.78 (~v129(constB30, bitIndex1)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4565, 4564])).
% 41.19/26.78 tff(4567,plain,
% 41.19/26.78 (~v127(constB29, bitIndex1)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4482, 4566])).
% 41.19/26.78 tff(4568,plain,
% 41.19/26.78 ((~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4476, 1144, 4374])).
% 41.19/26.78 tff(4569,plain,
% 41.19/26.78 (~v130(constB29, bitIndex1)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4568, 4567])).
% 41.19/26.78 tff(4570,plain,
% 41.19/26.78 ($false),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4340, 2050, 4569, 4555])).
% 41.19/26.78 tff(4571,plain,((~v120(constB27)) | v90(constB30, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 41.19/26.78 tff(4572,plain,
% 41.19/26.78 (v90(constB30, bitIndex1)),
% 41.19/26.78 inference(unit_resolution,[status(thm)],[4571, 3812])).
% 41.19/26.78 tff(4573,plain,
% 41.19/26.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4574,plain,
% 41.19/26.79 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4575,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4574])).
% 41.19/26.79 tff(4576,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4575, 4573])).
% 41.19/26.79 tff(4577,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4578,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 41.19/26.79 tff(4579,plain,
% 41.19/26.79 ((~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4578, 1192, 4510])).
% 41.19/26.79 tff(4580,plain,
% 41.19/26.79 ((~v90(constB30, bitIndex1)) | v90(constB31, bitIndex1)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4579, 4522])).
% 41.19/26.79 tff(4581,plain,
% 41.19/26.79 (v90(constB31, bitIndex1)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4580, 4572])).
% 41.19/26.79 tff(4582,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4583,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4584,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 41.19/26.79 tff(4585,plain,
% 41.19/26.79 ((~v90(constB31, bitIndex0)) | v90(constB31, bitIndex2) | v122(constB31)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4584, 2129, 4581])).
% 41.19/26.79 tff(4586,plain,
% 41.19/26.79 (v122(constB31)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4585, 4551, 4531])).
% 41.19/26.79 tff(4587,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4588,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4589,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4588, 4587])).
% 41.19/26.79 tff(4590,plain,
% 41.19/26.79 (~v130(constB31, bitIndex0)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4589, 2327, 4586])).
% 41.19/26.79 tff(4591,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4592,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4593,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 41.19/26.79 tff(4594,plain,
% 41.19/26.79 (v130(constB31, bitIndex2)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4593, 2224, 4586])).
% 41.19/26.79 tff(4595,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4596,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4597,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 41.19/26.79 tff(4598,plain,
% 41.19/26.79 (~v130(constB31, bitIndex1)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4597, 2281, 4586])).
% 41.19/26.79 tff(4599,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4600,plain,
% 41.19/26.79 (((~v122(constB31)) | v116(constB31)) <=> (v116(constB31) | (~v122(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4601,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v122(constB31))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4600])).
% 41.19/26.79 tff(4602,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4601, 4599])).
% 41.19/26.79 tff(4603,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4604,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 41.19/26.79 tff(4605,plain,
% 41.19/26.79 (v116(constB31)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4604, 2140, 4586])).
% 41.19/26.79 tff(4606,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4607,plain,
% 41.19/26.79 (((~v116(constB31)) | v115(constB31)) <=> (v115(constB31) | (~v116(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4608,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4607])).
% 41.19/26.79 tff(4609,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4608, 4606])).
% 41.19/26.79 tff(4610,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4611,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4610, 4609])).
% 41.19/26.79 tff(4612,plain,
% 41.19/26.79 (v115(constB31)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4611, 539, 4605])).
% 41.19/26.79 tff(4613,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4614,plain,
% 41.19/26.79 (((~v115(constB31)) | v114(constB31)) <=> (v114(constB31) | (~v115(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4615,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4614])).
% 41.19/26.79 tff(4616,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4615, 4613])).
% 41.19/26.79 tff(4617,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4618,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4617, 4616])).
% 41.19/26.79 tff(4619,plain,
% 41.19/26.79 (v114(constB31)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4618, 553, 4612])).
% 41.19/26.79 tff(4620,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4621,plain,
% 41.19/26.79 (((~v114(constB31)) | v113(constB31)) <=> (v113(constB31) | (~v114(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4622,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4621])).
% 41.19/26.79 tff(4623,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4622, 4620])).
% 41.19/26.79 tff(4624,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4625,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 41.19/26.79 tff(4626,plain,
% 41.19/26.79 (v113(constB31)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4625, 567, 4619])).
% 41.19/26.79 tff(4627,assumption,(v26(constB31)), introduced(assumption)).
% 41.19/26.79 tff(4628,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4629,plain,
% 41.19/26.79 ($false),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4628, 95, 4627])).
% 41.19/26.79 tff(4630,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 41.19/26.79 tff(4631,assumption,(~v26(constB31)), introduced(assumption)).
% 41.19/26.79 tff(4632,assumption,(v113(constB31)), introduced(assumption)).
% 41.19/26.79 tff(4633,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4634,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4635,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4634, 4633])).
% 41.19/26.79 tff(4636,plain,
% 41.19/26.79 (v26(constB31) | v112(constB31)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4635, 581, 4632])).
% 41.19/26.79 tff(4637,plain,
% 41.19/26.79 (v112(constB31)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4636, 4631])).
% 41.19/26.79 tff(4638,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4639,plain,
% 41.19/26.79 (((~v112(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v112(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4640,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4639])).
% 41.19/26.79 tff(4641,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4640, 4638])).
% 41.19/26.79 tff(4642,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4643,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4642, 4641])).
% 41.19/26.79 tff(4644,plain,
% 41.19/26.79 (v108(constB31)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4643, 746, 4637])).
% 41.19/26.79 tff(4645,plain,
% 41.19/26.79 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4646,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 41.19/26.79 tff(4647,plain,
% 41.19/26.79 (nextState(constB31, constB32)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4646, 4645])).
% 41.19/26.79 tff(4648,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4649,plain,
% 41.19/26.79 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4650,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4649])).
% 41.19/26.79 tff(4651,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4650, 4648])).
% 41.19/26.79 tff(4652,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4653,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 41.19/26.79 tff(4654,plain,
% 41.19/26.79 (v110(constB32) | (~v108(constB31))),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4653, 731, 4647])).
% 41.19/26.79 tff(4655,plain,
% 41.19/26.79 (v110(constB32)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4654, 4644])).
% 41.19/26.79 tff(4656,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4657,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4658,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4657, 4656])).
% 41.19/26.79 tff(4659,plain,
% 41.19/26.79 (~v104(constB32)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4658, 659, 4647, 4507])).
% 41.19/26.79 tff(4660,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4661,plain,
% 41.19/26.79 (((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)) <=> ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4662,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32)))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4661])).
% 41.19/26.79 tff(4663,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4662, 4660])).
% 41.19/26.79 tff(4664,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4665,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4664, 4663])).
% 41.19/26.79 tff(4666,plain,
% 41.19/26.79 (v104(constB32) | v102(constB32)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4665, 673, 4647])).
% 41.19/26.79 tff(4667,plain,
% 41.19/26.79 (v102(constB32)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4666, 4659])).
% 41.19/26.79 tff(4668,plain,
% 41.19/26.79 (v1(constB32) <=> v1(constB32)),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4669,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 41.19/26.79 tff(4670,plain,
% 41.19/26.79 (v1(constB32)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4669, 4668])).
% 41.19/26.79 tff(4671,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4672,plain,
% 41.19/26.79 (((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))) <=> ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4673,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4672])).
% 41.19/26.79 tff(4674,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4673, 4671])).
% 41.19/26.79 tff(4675,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4676,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 41.19/26.79 tff(4677,plain,
% 41.19/26.79 (v101(constB32) | (~v102(constB32))),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4676, 694, 4647, 4670])).
% 41.19/26.79 tff(4678,plain,
% 41.19/26.79 (v101(constB32)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4677, 4667])).
% 41.19/26.79 tff(4679,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4680,plain,
% 41.19/26.79 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4681,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4680])).
% 41.19/26.79 tff(4682,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4681, 4679])).
% 41.19/26.79 tff(4683,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4684,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 41.19/26.79 tff(4685,plain,
% 41.19/26.79 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4684, 712, 4647])).
% 41.19/26.79 tff(4686,plain,
% 41.19/26.79 (v100(constB32) | (~v110(constB32))),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4685, 4678])).
% 41.19/26.79 tff(4687,plain,
% 41.19/26.79 (v100(constB32)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4686, 4655])).
% 41.19/26.79 tff(4688,assumption,(v130(constB31, bitIndex2)), introduced(assumption)).
% 41.19/26.79 tff(4689,plain,
% 41.19/26.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4690,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4691,plain,
% 41.19/26.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4690, 4689])).
% 41.19/26.79 tff(4692,plain,
% 41.19/26.79 (v26(constB31) | v127(constB31, bitIndex2)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4691, 607, 4688])).
% 41.19/26.79 tff(4693,plain,
% 41.19/26.79 (v127(constB31, bitIndex2)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4692, 4631])).
% 41.19/26.79 tff(4694,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4695,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4696,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4695, 4694])).
% 41.19/26.79 tff(4697,plain,
% 41.19/26.79 ((~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4696, 625, 4647])).
% 41.19/26.79 tff(4698,plain,
% 41.19/26.79 (v129(constB32, bitIndex2)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4697, 4693])).
% 41.19/26.79 tff(4699,plain,
% 41.19/26.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4700,plain,
% 41.19/26.79 ((v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4701,plain,
% 41.19/26.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4700])).
% 41.19/26.79 tff(4702,plain,
% 41.19/26.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4701, 4699])).
% 41.19/26.79 tff(4703,plain,
% 41.19/26.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4704,plain,
% 41.19/26.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4703, 4702])).
% 41.19/26.79 tff(4705,plain,
% 41.19/26.79 (v90(constB32, bitIndex2) | (~v100(constB32))),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4704, 641, 4698])).
% 41.19/26.79 tff(4706,plain,
% 41.19/26.79 (v90(constB32, bitIndex2)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4705, 4687])).
% 41.19/26.79 tff(4707,plain,
% 41.19/26.79 ((~v1(constB33)) <=> (~v1(constB33))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4708,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 41.19/26.79 tff(4709,plain,
% 41.19/26.79 (~v1(constB33)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4708, 4707])).
% 41.19/26.79 tff(4710,plain,
% 41.19/26.79 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4711,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 41.19/26.79 tff(4712,plain,
% 41.19/26.79 (nextState(constB32, constB33)),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 41.19/26.79 tff(4713,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4714,plain,
% 41.19/26.79 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4715,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 41.19/26.79 inference(monotonicity,[status(thm)],[4714])).
% 41.19/26.79 tff(4716,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 41.19/26.79 inference(transitivity,[status(thm)],[4715, 4713])).
% 41.19/26.79 tff(4717,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4718,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4717, 4716])).
% 41.19/26.79 tff(4719,plain,
% 41.19/26.79 (~v101(constB33)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4718, 391, 4712, 4709])).
% 41.19/26.79 tff(4720,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 41.19/26.79 inference(rewrite,[status(thm)],[])).
% 41.19/26.79 tff(4721,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 41.19/26.79 inference(quant_inst,[status(thm)],[])).
% 41.19/26.79 tff(4722,plain,
% 41.19/26.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 41.19/26.79 inference(modus_ponens,[status(thm)],[4721, 4720])).
% 41.19/26.79 tff(4723,plain,
% 41.19/26.79 (v101(constB33) | (~v100(constB33))),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4722, 408, 4712])).
% 41.19/26.79 tff(4724,plain,
% 41.19/26.79 (~v100(constB33)),
% 41.19/26.79 inference(unit_resolution,[status(thm)],[4723, 4719])).
% 41.19/26.79 tff(4725,plain,
% 41.19/26.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4726,plain,
% 41.19/26.80 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4727,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4726])).
% 41.19/26.80 tff(4728,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4727, 4725])).
% 41.19/26.80 tff(4729,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4730,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4729, 4728])).
% 41.19/26.80 tff(4731,plain,
% 41.19/26.80 ((~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4730, 783, 4712])).
% 41.19/26.80 tff(4732,plain,
% 41.19/26.80 ((~v90(constB32, bitIndex2)) | v90(constB33, bitIndex2)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4731, 4724])).
% 41.19/26.80 tff(4733,plain,
% 41.19/26.80 (v90(constB33, bitIndex2)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4732, 4706])).
% 41.19/26.80 tff(4734,assumption,(~v130(constB31, bitIndex0)), introduced(assumption)).
% 41.19/26.80 tff(4735,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4736,plain,
% 41.19/26.80 ((v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0))) <=> ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4737,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4736])).
% 41.19/26.80 tff(4738,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4737, 4735])).
% 41.19/26.80 tff(4739,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4740,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4739, 4738])).
% 41.19/26.80 tff(4741,plain,
% 41.19/26.80 ((~v127(constB31, bitIndex0)) | v26(constB31)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4740, 907, 4734])).
% 41.19/26.80 tff(4742,plain,
% 41.19/26.80 (~v127(constB31, bitIndex0)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4741, 4631])).
% 41.19/26.80 tff(4743,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4744,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4745,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4744, 4743])).
% 41.19/26.80 tff(4746,plain,
% 41.19/26.80 (v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4745, 937, 4647])).
% 41.19/26.80 tff(4747,plain,
% 41.19/26.80 (~v129(constB32, bitIndex0)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4746, 4742])).
% 41.19/26.80 tff(4748,plain,
% 41.19/26.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4749,plain,
% 41.19/26.80 (((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4750,plain,
% 41.19/26.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4749])).
% 41.19/26.80 tff(4751,plain,
% 41.19/26.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4750, 4748])).
% 41.19/26.80 tff(4752,plain,
% 41.19/26.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4753,plain,
% 41.19/26.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4752, 4751])).
% 41.19/26.80 tff(4754,plain,
% 41.19/26.80 ((~v90(constB32, bitIndex0)) | (~v100(constB32))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4753, 952, 4747])).
% 41.19/26.80 tff(4755,plain,
% 41.19/26.80 (~v90(constB32, bitIndex0)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4754, 4687])).
% 41.19/26.80 tff(4756,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4757,plain,
% 41.19/26.80 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4758,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4757])).
% 41.19/26.80 tff(4759,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4758, 4756])).
% 41.19/26.80 tff(4760,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4761,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4760, 4759])).
% 41.19/26.80 tff(4762,plain,
% 41.19/26.80 (v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4761, 465, 4712])).
% 41.19/26.80 tff(4763,plain,
% 41.19/26.80 (v90(constB32, bitIndex0) | (~v90(constB33, bitIndex0))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4762, 4724])).
% 41.19/26.80 tff(4764,plain,
% 41.19/26.80 (~v90(constB33, bitIndex0)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4763, 4755])).
% 41.19/26.80 tff(4765,assumption,(~v130(constB31, bitIndex1)), introduced(assumption)).
% 41.19/26.80 tff(4766,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4767,plain,
% 41.19/26.80 ((v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1))) <=> ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4768,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4767])).
% 41.19/26.80 tff(4769,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4768, 4766])).
% 41.19/26.80 tff(4770,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4771,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 41.19/26.80 tff(4772,plain,
% 41.19/26.80 ((~v127(constB31, bitIndex1)) | v26(constB31)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4771, 823, 4765])).
% 41.19/26.80 tff(4773,plain,
% 41.19/26.80 (~v127(constB31, bitIndex1)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4772, 4631])).
% 41.19/26.80 tff(4774,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4775,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4776,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4775, 4774])).
% 41.19/26.80 tff(4777,plain,
% 41.19/26.80 (v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4776, 853, 4647])).
% 41.19/26.80 tff(4778,plain,
% 41.19/26.80 (~v129(constB32, bitIndex1)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4777, 4773])).
% 41.19/26.80 tff(4779,plain,
% 41.19/26.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4780,plain,
% 41.19/26.80 (((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4781,plain,
% 41.19/26.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4780])).
% 41.19/26.80 tff(4782,plain,
% 41.19/26.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4781, 4779])).
% 41.19/26.80 tff(4783,plain,
% 41.19/26.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4784,plain,
% 41.19/26.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 41.19/26.80 tff(4785,plain,
% 41.19/26.80 ((~v90(constB32, bitIndex1)) | (~v100(constB32))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4784, 868, 4778])).
% 41.19/26.80 tff(4786,plain,
% 41.19/26.80 (~v90(constB32, bitIndex1)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4785, 4687])).
% 41.19/26.80 tff(4787,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4788,plain,
% 41.19/26.80 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4789,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4788])).
% 41.19/26.80 tff(4790,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4789, 4787])).
% 41.19/26.80 tff(4791,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4792,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4791, 4790])).
% 41.19/26.80 tff(4793,plain,
% 41.19/26.80 (v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4792, 444, 4712])).
% 41.19/26.80 tff(4794,plain,
% 41.19/26.80 (v90(constB32, bitIndex1) | (~v90(constB33, bitIndex1))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4793, 4724])).
% 41.19/26.80 tff(4795,plain,
% 41.19/26.80 (~v90(constB33, bitIndex1)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4794, 4786])).
% 41.19/26.80 tff(4796,assumption,(~v123(constB33)), introduced(assumption)).
% 41.19/26.80 tff(4797,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4798,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4799,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33)),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 41.19/26.80 tff(4800,plain,
% 41.19/26.80 (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4799, 979, 4796])).
% 41.19/26.80 tff(4801,plain,
% 41.19/26.80 ($false),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4800, 4795, 4764, 4733])).
% 41.19/26.80 tff(4802,plain,(v26(constB31) | v123(constB33) | (~v113(constB31)) | (~v130(constB31, bitIndex2)) | v130(constB31, bitIndex1) | v130(constB31, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 41.19/26.80 tff(4803,plain,
% 41.19/26.80 (v123(constB33) | (~v113(constB31)) | (~v130(constB31, bitIndex2)) | v130(constB31, bitIndex1) | v130(constB31, bitIndex0)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4802, 4630])).
% 41.19/26.80 tff(4804,plain,
% 41.19/26.80 (v123(constB33)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4803, 4626, 4598, 4594, 4590])).
% 41.19/26.80 tff(4805,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB33) | (~v123(constB33)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v123(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4806,plain,
% 41.19/26.80 (((~v123(constB33)) | v115(constB33)) <=> (v115(constB33) | (~v123(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4807,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB33) | (~v123(constB33))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4806])).
% 41.19/26.80 tff(4808,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v123(constB33)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4807, 4805])).
% 41.19/26.80 tff(4809,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4810,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v123(constB33))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 41.19/26.80 tff(4811,plain,
% 41.19/26.80 (v115(constB33)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4810, 990, 4804])).
% 41.19/26.80 tff(4812,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4813,plain,
% 41.19/26.80 (((~v115(constB33)) | v114(constB33)) <=> (v114(constB33) | (~v115(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4814,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4813])).
% 41.19/26.80 tff(4815,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4814, 4812])).
% 41.19/26.80 tff(4816,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4817,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4816, 4815])).
% 41.19/26.80 tff(4818,plain,
% 41.19/26.80 (v114(constB33)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4817, 553, 4811])).
% 41.19/26.80 tff(4819,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4820,plain,
% 41.19/26.80 (((~v114(constB33)) | v113(constB33)) <=> (v113(constB33) | (~v114(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4821,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4820])).
% 41.19/26.80 tff(4822,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4821, 4819])).
% 41.19/26.80 tff(4823,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4824,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4823, 4822])).
% 41.19/26.80 tff(4825,plain,
% 41.19/26.80 (v113(constB33)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4824, 567, 4818])).
% 41.19/26.80 tff(4826,assumption,(~v108(constB33)), introduced(assumption)).
% 41.19/26.80 tff(4827,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4828,plain,
% 41.19/26.80 (((~v112(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v112(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4829,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4828])).
% 41.19/26.80 tff(4830,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4829, 4827])).
% 41.19/26.80 tff(4831,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4832,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4831, 4830])).
% 41.19/26.80 tff(4833,plain,
% 41.19/26.80 (~v112(constB33)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4832, 746, 4826])).
% 41.19/26.80 tff(4834,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v26(constB33)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v26(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4835,plain,
% 41.19/26.80 (((~v26(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v26(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4836,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v26(constB33))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4835])).
% 41.19/26.80 tff(4837,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v26(constB33)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4836, 4834])).
% 41.19/26.80 tff(4838,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB33)) | v108(constB33))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4839,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v26(constB33))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4838, 4837])).
% 41.19/26.80 tff(4840,plain,
% 41.19/26.80 (~v26(constB33)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4839, 1925, 4826])).
% 41.19/26.80 tff(4841,assumption,(v113(constB33)), introduced(assumption)).
% 41.19/26.80 tff(4842,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | v112(constB33) | (~v113(constB33)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4843,plain,
% 41.19/26.80 ((v26(constB33) | (~v113(constB33)) | v112(constB33)) <=> (v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4844,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | v112(constB33) | (~v113(constB33))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4843])).
% 41.19/26.80 tff(4845,plain,
% 41.19/26.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4844, 4842])).
% 41.19/26.80 tff(4846,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4847,plain,
% 41.19/26.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4846, 4845])).
% 41.19/26.80 tff(4848,plain,
% 41.19/26.80 (v26(constB33) | v112(constB33)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4847, 581, 4841])).
% 41.19/26.80 tff(4849,plain,
% 41.19/26.80 ($false),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4848, 4840, 4833])).
% 41.19/26.80 tff(4850,plain,(v108(constB33) | (~v113(constB33))), inference(lemma,lemma(discharge,[]))).
% 41.19/26.80 tff(4851,plain,
% 41.19/26.80 (v108(constB33)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4850, 4825])).
% 41.19/26.80 tff(4852,plain,
% 41.19/26.80 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4853,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 41.19/26.80 tff(4854,plain,
% 41.19/26.80 (nextState(constB33, constB34)),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 41.19/26.80 tff(4855,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4856,plain,
% 41.19/26.80 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4857,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 41.19/26.80 inference(monotonicity,[status(thm)],[4856])).
% 41.19/26.80 tff(4858,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 41.19/26.80 inference(transitivity,[status(thm)],[4857, 4855])).
% 41.19/26.80 tff(4859,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4860,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 41.19/26.80 tff(4861,plain,
% 41.19/26.80 (v110(constB34) | (~v108(constB33))),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4860, 731, 4854])).
% 41.19/26.80 tff(4862,plain,
% 41.19/26.80 (v110(constB34)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4861, 4851])).
% 41.19/26.80 tff(4863,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4864,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 41.19/26.80 inference(quant_inst,[status(thm)],[])).
% 41.19/26.80 tff(4865,plain,
% 41.19/26.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 41.19/26.80 inference(modus_ponens,[status(thm)],[4864, 4863])).
% 41.19/26.80 tff(4866,plain,
% 41.19/26.80 (~v104(constB34)),
% 41.19/26.80 inference(unit_resolution,[status(thm)],[4865, 659, 4854, 4709])).
% 41.19/26.80 tff(4867,plain,
% 41.19/26.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 41.19/26.80 inference(rewrite,[status(thm)],[])).
% 41.19/26.80 tff(4868,plain,
% 41.19/26.80 (((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)) <=> ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4869,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34)))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4868])).
% 41.19/26.81 tff(4870,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4869, 4867])).
% 41.19/26.81 tff(4871,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4872,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4871, 4870])).
% 41.19/26.81 tff(4873,plain,
% 41.19/26.81 (v104(constB34) | v102(constB34)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4872, 673, 4854])).
% 41.19/26.81 tff(4874,plain,
% 41.19/26.81 (v102(constB34)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4873, 4866])).
% 41.19/26.81 tff(4875,plain,
% 41.19/26.81 (v1(constB34) <=> v1(constB34)),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4876,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 41.19/26.81 tff(4877,plain,
% 41.19/26.81 (v1(constB34)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4876, 4875])).
% 41.19/26.81 tff(4878,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4879,plain,
% 41.19/26.81 (((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))) <=> ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4880,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34))))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4879])).
% 41.19/26.81 tff(4881,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4880, 4878])).
% 41.19/26.81 tff(4882,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4883,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34))),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 41.19/26.81 tff(4884,plain,
% 41.19/26.81 (v101(constB34) | (~v102(constB34))),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4883, 694, 4854, 4877])).
% 41.19/26.81 tff(4885,plain,
% 41.19/26.81 (v101(constB34)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4884, 4874])).
% 41.19/26.81 tff(4886,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4887,plain,
% 41.19/26.81 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4888,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4887])).
% 41.19/26.81 tff(4889,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4888, 4886])).
% 41.19/26.81 tff(4890,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4891,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 41.19/26.81 tff(4892,plain,
% 41.19/26.81 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4891, 712, 4854])).
% 41.19/26.81 tff(4893,plain,
% 41.19/26.81 (v100(constB34) | (~v110(constB34))),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4892, 4885])).
% 41.19/26.81 tff(4894,plain,
% 41.19/26.81 (v100(constB34)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4893, 4862])).
% 41.19/26.81 tff(4895,plain,
% 41.19/26.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4896,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4897,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4896, 4895])).
% 41.19/26.81 tff(4898,plain,
% 41.19/26.81 (v130(constB33, bitIndex2)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4897, 1074, 4804])).
% 41.19/26.81 tff(4899,assumption,(v26(constB33)), introduced(assumption)).
% 41.19/26.81 tff(4900,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4901,plain,
% 41.19/26.81 ($false),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4900, 95, 4899])).
% 41.19/26.81 tff(4902,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 41.19/26.81 tff(4903,plain,
% 41.19/26.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4904,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4905,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4904, 4903])).
% 41.19/26.81 tff(4906,plain,
% 41.19/26.81 ((~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4905, 607, 4902])).
% 41.19/26.81 tff(4907,plain,
% 41.19/26.81 (v127(constB33, bitIndex2)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4906, 4898])).
% 41.19/26.81 tff(4908,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4909,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4910,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4909, 4908])).
% 41.19/26.81 tff(4911,plain,
% 41.19/26.81 ((~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4910, 625, 4854])).
% 41.19/26.81 tff(4912,plain,
% 41.19/26.81 (v129(constB34, bitIndex2)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4911, 4907])).
% 41.19/26.81 tff(4913,plain,
% 41.19/26.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4914,plain,
% 41.19/26.81 ((v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4915,plain,
% 41.19/26.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4914])).
% 41.19/26.81 tff(4916,plain,
% 41.19/26.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4915, 4913])).
% 41.19/26.81 tff(4917,plain,
% 41.19/26.81 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4918,plain,
% 41.19/26.81 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 41.19/26.81 tff(4919,plain,
% 41.19/26.81 (v90(constB34, bitIndex2) | (~v100(constB34))),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4918, 641, 4912])).
% 41.19/26.81 tff(4920,plain,
% 41.19/26.81 (v90(constB34, bitIndex2)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4919, 4894])).
% 41.19/26.81 tff(4921,plain,
% 41.19/26.81 ((~v1(constB35)) <=> (~v1(constB35))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4922,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 41.19/26.81 tff(4923,plain,
% 41.19/26.81 (~v1(constB35)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4922, 4921])).
% 41.19/26.81 tff(4924,plain,
% 41.19/26.81 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4925,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 41.19/26.81 tff(4926,plain,
% 41.19/26.81 (nextState(constB34, constB35)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4925, 4924])).
% 41.19/26.81 tff(4927,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4928,plain,
% 41.19/26.81 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4929,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4928])).
% 41.19/26.81 tff(4930,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4929, 4927])).
% 41.19/26.81 tff(4931,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4932,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4931, 4930])).
% 41.19/26.81 tff(4933,plain,
% 41.19/26.81 (~v101(constB35)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4932, 391, 4926, 4923])).
% 41.19/26.81 tff(4934,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4935,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4936,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4935, 4934])).
% 41.19/26.81 tff(4937,plain,
% 41.19/26.81 (v101(constB35) | (~v100(constB35))),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4936, 408, 4926])).
% 41.19/26.81 tff(4938,plain,
% 41.19/26.81 (~v100(constB35)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4937, 4933])).
% 41.19/26.81 tff(4939,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4940,plain,
% 41.19/26.81 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)) <=> ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4941,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4940])).
% 41.19/26.81 tff(4942,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4941, 4939])).
% 41.19/26.81 tff(4943,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4944,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4943, 4942])).
% 41.19/26.81 tff(4945,plain,
% 41.19/26.81 ((~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4944, 783, 4926])).
% 41.19/26.81 tff(4946,plain,
% 41.19/26.81 ((~v90(constB34, bitIndex2)) | v90(constB35, bitIndex2)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4945, 4938])).
% 41.19/26.81 tff(4947,plain,
% 41.19/26.81 (v90(constB35, bitIndex2)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4946, 4920])).
% 41.19/26.81 tff(4948,plain,
% 41.19/26.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB33)) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB33)) | v130(constB33, bitIndex1))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4949,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB33)) | v130(constB33, bitIndex1))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4950,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB33)) | v130(constB33, bitIndex1)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4949, 4948])).
% 41.19/26.81 tff(4951,plain,
% 41.19/26.81 (v130(constB33, bitIndex1)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4950, 1130, 4804])).
% 41.19/26.81 tff(4952,plain,
% 41.19/26.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4953,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4954,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 41.19/26.81 tff(4955,plain,
% 41.19/26.81 ((~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4954, 1144, 4902])).
% 41.19/26.81 tff(4956,plain,
% 41.19/26.81 (v127(constB33, bitIndex1)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4955, 4951])).
% 41.19/26.81 tff(4957,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4958,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4959,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4958, 4957])).
% 41.19/26.81 tff(4960,plain,
% 41.19/26.81 ((~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4959, 1159, 4854])).
% 41.19/26.81 tff(4961,plain,
% 41.19/26.81 (v129(constB34, bitIndex1)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4960, 4956])).
% 41.19/26.81 tff(4962,plain,
% 41.19/26.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4963,plain,
% 41.19/26.81 ((v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4964,plain,
% 41.19/26.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34))))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4963])).
% 41.19/26.81 tff(4965,plain,
% 41.19/26.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4964, 4962])).
% 41.19/26.81 tff(4966,plain,
% 41.19/26.81 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4967,plain,
% 41.19/26.81 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34))),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 41.19/26.81 tff(4968,plain,
% 41.19/26.81 (v90(constB34, bitIndex1) | (~v100(constB34))),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4967, 1174, 4961])).
% 41.19/26.81 tff(4969,plain,
% 41.19/26.81 (v90(constB34, bitIndex1)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4968, 4894])).
% 41.19/26.81 tff(4970,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4971,plain,
% 41.19/26.81 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4972,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1)))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4971])).
% 41.19/26.81 tff(4973,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4972, 4970])).
% 41.19/26.81 tff(4974,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4975,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4974, 4973])).
% 41.19/26.81 tff(4976,plain,
% 41.19/26.81 ((~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4975, 1192, 4926])).
% 41.19/26.81 tff(4977,plain,
% 41.19/26.81 ((~v90(constB34, bitIndex1)) | v90(constB35, bitIndex1)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4976, 4938])).
% 41.19/26.81 tff(4978,plain,
% 41.19/26.81 (v90(constB35, bitIndex1)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4977, 4969])).
% 41.19/26.81 tff(4979,plain,
% 41.19/26.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB33)) | (~v130(constB33, bitIndex0)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4980,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex0)))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4981,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB33)) | (~v130(constB33, bitIndex0))),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4980, 4979])).
% 41.19/26.81 tff(4982,plain,
% 41.19/26.81 (~v130(constB33, bitIndex0)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4981, 1208, 4804])).
% 41.19/26.81 tff(4983,plain,
% 41.19/26.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4984,plain,
% 41.19/26.81 ((v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0))) <=> ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4985,plain,
% 41.19/26.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4984])).
% 41.19/26.81 tff(4986,plain,
% 41.19/26.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4985, 4983])).
% 41.19/26.81 tff(4987,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4988,plain,
% 41.19/26.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4987, 4986])).
% 41.19/26.81 tff(4989,plain,
% 41.19/26.81 ((~v127(constB33, bitIndex0)) | v130(constB33, bitIndex0)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4988, 907, 4902])).
% 41.19/26.81 tff(4990,plain,
% 41.19/26.81 (~v127(constB33, bitIndex0)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4989, 4982])).
% 41.19/26.81 tff(4991,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4992,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(4993,plain,
% 41.19/26.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 41.19/26.81 tff(4994,plain,
% 41.19/26.81 (v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4993, 937, 4854])).
% 41.19/26.81 tff(4995,plain,
% 41.19/26.81 (~v129(constB34, bitIndex0)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[4994, 4990])).
% 41.19/26.81 tff(4996,plain,
% 41.19/26.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4997,plain,
% 41.19/26.81 (((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 41.19/26.81 inference(rewrite,[status(thm)],[])).
% 41.19/26.81 tff(4998,plain,
% 41.19/26.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34))))),
% 41.19/26.81 inference(monotonicity,[status(thm)],[4997])).
% 41.19/26.81 tff(4999,plain,
% 41.19/26.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 41.19/26.81 inference(transitivity,[status(thm)],[4998, 4996])).
% 41.19/26.81 tff(5000,plain,
% 41.19/26.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))),
% 41.19/26.81 inference(quant_inst,[status(thm)],[])).
% 41.19/26.81 tff(5001,plain,
% 41.19/26.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34))),
% 41.19/26.81 inference(modus_ponens,[status(thm)],[5000, 4999])).
% 41.19/26.81 tff(5002,plain,
% 41.19/26.81 ((~v90(constB34, bitIndex0)) | (~v100(constB34))),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[5001, 952, 4995])).
% 41.19/26.81 tff(5003,plain,
% 41.19/26.81 (~v90(constB34, bitIndex0)),
% 41.19/26.81 inference(unit_resolution,[status(thm)],[5002, 4894])).
% 41.19/26.81 tff(5004,plain,
% 41.19/26.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5005,plain,
% 41.19/26.82 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0))) <=> (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5006,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0))))),
% 41.19/26.82 inference(monotonicity,[status(thm)],[5005])).
% 41.19/26.82 tff(5007,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 41.19/26.82 inference(transitivity,[status(thm)],[5006, 5004])).
% 41.19/26.82 tff(5008,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5009,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0))),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 41.19/26.82 tff(5010,plain,
% 41.19/26.82 (v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0))),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5009, 465, 4926])).
% 41.19/26.82 tff(5011,plain,
% 41.19/26.82 (v90(constB34, bitIndex0) | (~v90(constB35, bitIndex0))),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5010, 4938])).
% 41.19/26.82 tff(5012,plain,
% 41.19/26.82 (~v90(constB35, bitIndex0)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5011, 5003])).
% 41.19/26.82 tff(5013,plain,
% 41.19/26.82 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5014,plain,
% 41.19/26.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5015,plain,
% 41.19/26.82 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35)),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5014, 5013])).
% 41.19/26.82 tff(5016,plain,
% 41.19/26.82 (v125(constB35)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5015, 1252, 5012, 4978, 4947])).
% 41.19/26.82 tff(5017,plain,
% 41.19/26.82 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB35)) | v113(constB35))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5018,plain,
% 41.19/26.82 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB35)) | v113(constB35))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5019,plain,
% 41.19/26.82 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB35)) | v113(constB35)),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 41.19/26.82 tff(5020,plain,
% 41.19/26.82 (v113(constB35)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5019, 1263, 5016])).
% 41.19/26.82 tff(5021,assumption,(v26(constB35)), introduced(assumption)).
% 41.19/26.82 tff(5022,plain,
% 41.19/26.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5023,plain,
% 41.19/26.82 ($false),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5022, 95, 5021])).
% 41.19/26.82 tff(5024,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 41.19/26.82 tff(5025,plain,
% 41.19/26.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5026,plain,
% 41.19/26.82 ((v26(constB35) | (~v113(constB35)) | v112(constB35)) <=> (v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5027,plain,
% 41.19/26.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35))))),
% 41.19/26.82 inference(monotonicity,[status(thm)],[5026])).
% 41.19/26.82 tff(5028,plain,
% 41.19/26.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 41.19/26.82 inference(transitivity,[status(thm)],[5027, 5025])).
% 41.19/26.82 tff(5029,plain,
% 41.19/26.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5030,plain,
% 41.19/26.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35))),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 41.19/26.82 tff(5031,plain,
% 41.19/26.82 (v112(constB35) | (~v113(constB35))),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5030, 581, 5024])).
% 41.19/26.82 tff(5032,plain,
% 41.19/26.82 (v112(constB35)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5031, 5020])).
% 41.19/26.82 tff(5033,plain,
% 41.19/26.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5034,plain,
% 41.19/26.82 (((~v112(constB35)) | v108(constB35)) <=> (v108(constB35) | (~v112(constB35)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5035,plain,
% 41.19/26.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35))))),
% 41.19/26.82 inference(monotonicity,[status(thm)],[5034])).
% 41.19/26.82 tff(5036,plain,
% 41.19/26.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 41.19/26.82 inference(transitivity,[status(thm)],[5035, 5033])).
% 41.19/26.82 tff(5037,plain,
% 41.19/26.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5038,plain,
% 41.19/26.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35))),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 41.19/26.82 tff(5039,plain,
% 41.19/26.82 (v108(constB35)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5038, 746, 5032])).
% 41.19/26.82 tff(5040,plain,
% 41.19/26.82 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5041,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 41.19/26.82 tff(5042,plain,
% 41.19/26.82 (nextState(constB35, constB36)),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 41.19/26.82 tff(5043,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5044,plain,
% 41.19/26.82 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5045,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 41.19/26.82 inference(monotonicity,[status(thm)],[5044])).
% 41.19/26.82 tff(5046,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 41.19/26.82 inference(transitivity,[status(thm)],[5045, 5043])).
% 41.19/26.82 tff(5047,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5048,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 41.19/26.82 tff(5049,plain,
% 41.19/26.82 (v110(constB36) | (~v108(constB35))),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5048, 731, 5042])).
% 41.19/26.82 tff(5050,plain,
% 41.19/26.82 (v110(constB36)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5049, 5039])).
% 41.19/26.82 tff(5051,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5052,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5053,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 41.19/26.82 tff(5054,plain,
% 41.19/26.82 (~v104(constB36)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5053, 659, 5042, 4923])).
% 41.19/26.82 tff(5055,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5056,plain,
% 41.19/26.82 (((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)) <=> ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5057,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36)))),
% 41.19/26.82 inference(monotonicity,[status(thm)],[5056])).
% 41.19/26.82 tff(5058,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 41.19/26.82 inference(transitivity,[status(thm)],[5057, 5055])).
% 41.19/26.82 tff(5059,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5060,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36)),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5059, 5058])).
% 41.19/26.82 tff(5061,plain,
% 41.19/26.82 (v104(constB36) | v102(constB36)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5060, 673, 5042])).
% 41.19/26.82 tff(5062,plain,
% 41.19/26.82 (v102(constB36)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5061, 5054])).
% 41.19/26.82 tff(5063,plain,
% 41.19/26.82 (v1(constB36) <=> v1(constB36)),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5064,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 41.19/26.82 tff(5065,plain,
% 41.19/26.82 (v1(constB36)),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5064, 5063])).
% 41.19/26.82 tff(5066,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5067,plain,
% 41.19/26.82 (((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))) <=> ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5068,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36))))),
% 41.19/26.82 inference(monotonicity,[status(thm)],[5067])).
% 41.19/26.82 tff(5069,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 41.19/26.82 inference(transitivity,[status(thm)],[5068, 5066])).
% 41.19/26.82 tff(5070,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5071,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36))),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 41.19/26.82 tff(5072,plain,
% 41.19/26.82 (v101(constB36) | (~v102(constB36))),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5071, 694, 5042, 5065])).
% 41.19/26.82 tff(5073,plain,
% 41.19/26.82 (v101(constB36)),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5072, 5062])).
% 41.19/26.82 tff(5074,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5075,plain,
% 41.19/26.82 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 41.19/26.82 inference(rewrite,[status(thm)],[])).
% 41.19/26.82 tff(5076,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 41.19/26.82 inference(monotonicity,[status(thm)],[5075])).
% 41.19/26.82 tff(5077,plain,
% 41.19/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 41.19/26.82 inference(transitivity,[status(thm)],[5076, 5074])).
% 41.19/26.82 tff(5078,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 41.19/26.82 inference(quant_inst,[status(thm)],[])).
% 41.19/26.82 tff(5079,plain,
% 41.19/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 41.19/26.82 inference(modus_ponens,[status(thm)],[5078, 5077])).
% 41.19/26.82 tff(5080,plain,
% 41.19/26.82 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5079, 712, 5042])).
% 41.19/26.82 tff(5081,plain,
% 41.19/26.82 (v100(constB36) | (~v110(constB36))),
% 41.19/26.82 inference(unit_resolution,[status(thm)],[5080, 5073])).
% 41.23/26.82 tff(5082,plain,
% 41.23/26.82 (v100(constB36)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5081, 5050])).
% 41.23/26.82 tff(5083,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB35)) | (~v90(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB35)) | (~v90(constB35, bitIndex2)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5084,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB35)) | (~v90(constB35, bitIndex2)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5085,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB35)) | (~v90(constB35, bitIndex2))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 41.23/26.82 tff(5086,plain,
% 41.23/26.82 (~v121(constB35)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5085, 1336, 4947])).
% 41.23/26.82 tff(5087,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB35)) | (~v90(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB35)) | (~v90(constB35, bitIndex2)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5088,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB35)) | (~v90(constB35, bitIndex2)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5089,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB35)) | (~v90(constB35, bitIndex2))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 41.23/26.82 tff(5090,plain,
% 41.23/26.82 (~v122(constB35)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5089, 1347, 4947])).
% 41.23/26.82 tff(5091,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB35)) | (~v90(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB35)) | (~v90(constB35, bitIndex1)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5092,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB35)) | (~v90(constB35, bitIndex1)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5093,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB35)) | (~v90(constB35, bitIndex1))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 41.23/26.82 tff(5094,plain,
% 41.23/26.82 (~v119(constB35)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5093, 1380, 4978])).
% 41.23/26.82 tff(5095,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB35)) | (~v90(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB35)) | (~v90(constB35, bitIndex1)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5096,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB35)) | (~v90(constB35, bitIndex1)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5097,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB35)) | (~v90(constB35, bitIndex1))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 41.23/26.82 tff(5098,plain,
% 41.23/26.82 (~v120(constB35)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5097, 1391, 4978])).
% 41.23/26.82 tff(5099,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB35)) | (~v90(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB35)) | (~v90(constB35, bitIndex1)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5100,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB35)) | (~v90(constB35, bitIndex1)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5101,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB35)) | (~v90(constB35, bitIndex1))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 41.23/26.82 tff(5102,plain,
% 41.23/26.82 (~v123(constB35)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5101, 1358, 4978])).
% 41.23/26.82 tff(5103,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB35)) | (~v90(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB35)) | (~v90(constB35, bitIndex1)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5104,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB35)) | (~v90(constB35, bitIndex1)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5105,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB35)) | (~v90(constB35, bitIndex1))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 41.23/26.82 tff(5106,plain,
% 41.23/26.82 (~v124(constB35)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5105, 1369, 4978])).
% 41.23/26.82 tff(5107,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5108,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5109,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5108, 5107])).
% 41.23/26.82 tff(5110,plain,
% 41.23/26.82 (~v130(constB35, bitIndex2)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5109, 1405, 5106, 5102, 5098, 5094, 5090, 5086])).
% 41.23/26.82 tff(5111,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5112,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5113,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0)),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5112, 5111])).
% 41.23/26.82 tff(5114,plain,
% 41.23/26.82 (v130(constB35, bitIndex0)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5113, 1538, 5106, 5102, 5098, 5094, 5090, 5086])).
% 41.23/26.82 tff(5115,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5116,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5117,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5116, 5115])).
% 41.23/26.82 tff(5118,plain,
% 41.23/26.82 (~v130(constB35, bitIndex1)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5117, 1494, 5106, 5102, 5098, 5094, 5090, 5086])).
% 41.23/26.82 tff(5119,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5120,plain,
% 41.23/26.82 ((v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1))) <=> ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5121,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1)))),
% 41.23/26.82 inference(monotonicity,[status(thm)],[5120])).
% 41.23/26.82 tff(5122,plain,
% 41.23/26.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 41.23/26.82 inference(transitivity,[status(thm)],[5121, 5119])).
% 41.23/26.82 tff(5123,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5124,plain,
% 41.23/26.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1)),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 41.23/26.82 tff(5125,plain,
% 41.23/26.82 ((~v127(constB35, bitIndex1)) | v130(constB35, bitIndex1)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5124, 823, 5024])).
% 41.23/26.82 tff(5126,plain,
% 41.23/26.82 (~v127(constB35, bitIndex1)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5125, 5118])).
% 41.23/26.82 tff(5127,plain,
% 41.23/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5128,plain,
% 41.23/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5129,plain,
% 41.23/26.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5128, 5127])).
% 41.23/26.82 tff(5130,plain,
% 41.23/26.82 (v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1))),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5129, 853, 5042])).
% 41.23/26.82 tff(5131,plain,
% 41.23/26.82 (~v129(constB36, bitIndex1)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5130, 5126])).
% 41.23/26.82 tff(5132,plain,
% 41.23/26.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5133,plain,
% 41.23/26.82 (((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5134,plain,
% 41.23/26.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36))))),
% 41.23/26.82 inference(monotonicity,[status(thm)],[5133])).
% 41.23/26.82 tff(5135,plain,
% 41.23/26.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 41.23/26.82 inference(transitivity,[status(thm)],[5134, 5132])).
% 41.23/26.82 tff(5136,plain,
% 41.23/26.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))),
% 41.23/26.82 inference(quant_inst,[status(thm)],[])).
% 41.23/26.82 tff(5137,plain,
% 41.23/26.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36))),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5136, 5135])).
% 41.23/26.82 tff(5138,plain,
% 41.23/26.82 ((~v90(constB36, bitIndex1)) | (~v100(constB36))),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5137, 868, 5131])).
% 41.23/26.82 tff(5139,plain,
% 41.23/26.82 (~v90(constB36, bitIndex1)),
% 41.23/26.82 inference(unit_resolution,[status(thm)],[5138, 5082])).
% 41.23/26.82 tff(5140,plain,
% 41.23/26.82 ((~v1(constB37)) <=> (~v1(constB37))),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5141,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 41.23/26.82 tff(5142,plain,
% 41.23/26.82 (~v1(constB37)),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5141, 5140])).
% 41.23/26.82 tff(5143,plain,
% 41.23/26.82 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 41.23/26.82 inference(rewrite,[status(thm)],[])).
% 41.23/26.82 tff(5144,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 41.23/26.82 tff(5145,plain,
% 41.23/26.82 (nextState(constB36, constB37)),
% 41.23/26.82 inference(modus_ponens,[status(thm)],[5144, 5143])).
% 41.23/26.82 tff(5146,plain,
% 41.23/26.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5147,plain,
% 41.23/26.83 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5148,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5147])).
% 41.23/26.83 tff(5149,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5148, 5146])).
% 41.23/26.83 tff(5150,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5151,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5150, 5149])).
% 41.23/26.83 tff(5152,plain,
% 41.23/26.83 (~v101(constB37)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5151, 391, 5145, 5142])).
% 41.23/26.83 tff(5153,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5154,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5155,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 41.23/26.83 tff(5156,plain,
% 41.23/26.83 (v101(constB37) | (~v100(constB37))),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5155, 408, 5145])).
% 41.23/26.83 tff(5157,plain,
% 41.23/26.83 (~v100(constB37)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5156, 5152])).
% 41.23/26.83 tff(5158,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5159,plain,
% 41.23/26.83 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5160,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1))))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5159])).
% 41.23/26.83 tff(5161,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5160, 5158])).
% 41.23/26.83 tff(5162,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5163,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5162, 5161])).
% 41.23/26.83 tff(5164,plain,
% 41.23/26.83 (v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1))),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5163, 444, 5145])).
% 41.23/26.83 tff(5165,plain,
% 41.23/26.83 (v90(constB36, bitIndex1) | (~v90(constB37, bitIndex1))),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5164, 5157])).
% 41.23/26.83 tff(5166,plain,
% 41.23/26.83 (~v90(constB37, bitIndex1)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5165, 5139])).
% 41.23/26.83 tff(5167,assumption,(~v90(constB37, bitIndex1)), introduced(assumption)).
% 41.23/26.83 tff(5168,assumption,(~v26(constB35)), introduced(assumption)).
% 41.23/26.83 tff(5169,assumption,(v130(constB35, bitIndex0)), introduced(assumption)).
% 41.23/26.83 tff(5170,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5171,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5172,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0)),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5171, 5170])).
% 41.23/26.83 tff(5173,plain,
% 41.23/26.83 (v26(constB35) | v127(constB35, bitIndex0)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5172, 1552, 5169])).
% 41.23/26.83 tff(5174,plain,
% 41.23/26.83 (v127(constB35, bitIndex0)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5173, 5168])).
% 41.23/26.83 tff(5175,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5176,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5177,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0)),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 41.23/26.83 tff(5178,plain,
% 41.23/26.83 ((~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5177, 1567, 5042])).
% 41.23/26.83 tff(5179,plain,
% 41.23/26.83 (v129(constB36, bitIndex0)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5178, 5174])).
% 41.23/26.83 tff(5180,assumption,(v100(constB36)), introduced(assumption)).
% 41.23/26.83 tff(5181,plain,
% 41.23/26.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5182,plain,
% 41.23/26.83 ((v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5183,plain,
% 41.23/26.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36))))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5182])).
% 41.23/26.83 tff(5184,plain,
% 41.23/26.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5183, 5181])).
% 41.23/26.83 tff(5185,plain,
% 41.23/26.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5186,plain,
% 41.23/26.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5185, 5184])).
% 41.23/26.83 tff(5187,plain,
% 41.23/26.83 (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0))),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5186, 1582, 5180])).
% 41.23/26.83 tff(5188,plain,
% 41.23/26.83 (v90(constB36, bitIndex0)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5187, 5179])).
% 41.23/26.83 tff(5189,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5190,plain,
% 41.23/26.83 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5191,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0)))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5190])).
% 41.23/26.83 tff(5192,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5191, 5189])).
% 41.23/26.83 tff(5193,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5194,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0)),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5193, 5192])).
% 41.23/26.83 tff(5195,plain,
% 41.23/26.83 ((~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5194, 1600, 5145])).
% 41.23/26.83 tff(5196,plain,
% 41.23/26.83 ((~v90(constB36, bitIndex0)) | v90(constB37, bitIndex0)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5195, 5157])).
% 41.23/26.83 tff(5197,plain,
% 41.23/26.83 (v90(constB37, bitIndex0)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5196, 5188])).
% 41.23/26.83 tff(5198,assumption,(~v130(constB35, bitIndex2)), introduced(assumption)).
% 41.23/26.83 tff(5199,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5200,plain,
% 41.23/26.83 ((v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2))) <=> ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5201,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2)))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5200])).
% 41.23/26.83 tff(5202,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5201, 5199])).
% 41.23/26.83 tff(5203,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5204,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2)),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 41.23/26.83 tff(5205,plain,
% 41.23/26.83 ((~v127(constB35, bitIndex2)) | v26(constB35)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5204, 1419, 5198])).
% 41.23/26.83 tff(5206,plain,
% 41.23/26.83 (~v127(constB35, bitIndex2)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5205, 5168])).
% 41.23/26.83 tff(5207,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5208,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5209,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 41.23/26.83 tff(5210,plain,
% 41.23/26.83 (v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2))),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5209, 1437, 5042])).
% 41.23/26.83 tff(5211,plain,
% 41.23/26.83 (~v129(constB36, bitIndex2)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5210, 5206])).
% 41.23/26.83 tff(5212,plain,
% 41.23/26.83 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5213,plain,
% 41.23/26.83 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5214,plain,
% 41.23/26.83 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5213, 5212])).
% 41.23/26.83 tff(5215,plain,
% 41.23/26.83 ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5214, 1452, 5180])).
% 41.23/26.83 tff(5216,plain,
% 41.23/26.83 (~v90(constB36, bitIndex2)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5215, 5211])).
% 41.23/26.83 tff(5217,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5218,plain,
% 41.23/26.83 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2))) <=> (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5219,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2))))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5218])).
% 41.23/26.83 tff(5220,plain,
% 41.23/26.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5219, 5217])).
% 41.23/26.83 tff(5221,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5222,plain,
% 41.23/26.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5221, 5220])).
% 41.23/26.83 tff(5223,plain,
% 41.23/26.83 (v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2))),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5222, 423, 5145])).
% 41.23/26.83 tff(5224,plain,
% 41.23/26.83 (v90(constB36, bitIndex2) | (~v90(constB37, bitIndex2))),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5223, 5157])).
% 41.23/26.83 tff(5225,plain,
% 41.23/26.83 (~v90(constB37, bitIndex2)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5224, 5216])).
% 41.23/26.83 tff(5226,assumption,(~v120(constB37)), introduced(assumption)).
% 41.23/26.83 tff(5227,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5228,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5229,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37)),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5228, 5227])).
% 41.23/26.83 tff(5230,plain,
% 41.23/26.83 ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5229, 1619, 5226])).
% 41.23/26.83 tff(5231,plain,
% 41.23/26.83 ($false),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5230, 5225, 5197, 5167])).
% 41.23/26.83 tff(5232,plain,(v26(constB35) | v90(constB37, bitIndex1) | v120(constB37) | (~v100(constB36)) | v130(constB35, bitIndex2) | (~v130(constB35, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 41.23/26.83 tff(5233,plain,
% 41.23/26.83 (v90(constB37, bitIndex1) | v120(constB37) | (~v100(constB36)) | v130(constB35, bitIndex2) | (~v130(constB35, bitIndex0))),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5232, 5024])).
% 41.23/26.83 tff(5234,plain,
% 41.23/26.83 (v120(constB37)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5233, 5166, 5114, 5110, 5082])).
% 41.23/26.83 tff(5235,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB37) | (~v120(constB37)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB37) | (~v120(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5236,plain,
% 41.23/26.83 (((~v120(constB37)) | v118(constB37)) <=> (v118(constB37) | (~v120(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5237,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB37)) | v118(constB37))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB37) | (~v120(constB37))))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5236])).
% 41.23/26.83 tff(5238,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB37)) | v118(constB37))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB37) | (~v120(constB37)))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5237, 5235])).
% 41.23/26.83 tff(5239,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB37)) | v118(constB37))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5240,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB37) | (~v120(constB37))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 41.23/26.83 tff(5241,plain,
% 41.23/26.83 (v118(constB37)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5240, 1630, 5234])).
% 41.23/26.83 tff(5242,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB37) | (~v118(constB37)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5243,plain,
% 41.23/26.83 (((~v118(constB37)) | v117(constB37)) <=> (v117(constB37) | (~v118(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5244,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB37) | (~v118(constB37))))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5243])).
% 41.23/26.83 tff(5245,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37)))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5244, 5242])).
% 41.23/26.83 tff(5246,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5247,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5246, 5245])).
% 41.23/26.83 tff(5248,plain,
% 41.23/26.83 (v117(constB37)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5247, 511, 5241])).
% 41.23/26.83 tff(5249,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB37) | (~v117(constB37)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB37) | (~v117(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5250,plain,
% 41.23/26.83 (((~v117(constB37)) | v116(constB37)) <=> (v116(constB37) | (~v117(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5251,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB37) | (~v117(constB37))))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5250])).
% 41.23/26.83 tff(5252,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB37) | (~v117(constB37)))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5251, 5249])).
% 41.23/26.83 tff(5253,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5254,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB37) | (~v117(constB37))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5253, 5252])).
% 41.23/26.83 tff(5255,plain,
% 41.23/26.83 (v116(constB37)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5254, 525, 5248])).
% 41.23/26.83 tff(5256,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB37) | (~v116(constB37)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v116(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5257,plain,
% 41.23/26.83 (((~v116(constB37)) | v115(constB37)) <=> (v115(constB37) | (~v116(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5258,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB37) | (~v116(constB37))))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5257])).
% 41.23/26.83 tff(5259,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v116(constB37)))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5258, 5256])).
% 41.23/26.83 tff(5260,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5261,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v116(constB37))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 41.23/26.83 tff(5262,plain,
% 41.23/26.83 (v115(constB37)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5261, 539, 5255])).
% 41.23/26.83 tff(5263,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB37) | (~v115(constB37)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5264,plain,
% 41.23/26.83 (((~v115(constB37)) | v114(constB37)) <=> (v114(constB37) | (~v115(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5265,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB37) | (~v115(constB37))))),
% 41.23/26.83 inference(monotonicity,[status(thm)],[5264])).
% 41.23/26.83 tff(5266,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37)))),
% 41.23/26.83 inference(transitivity,[status(thm)],[5265, 5263])).
% 41.23/26.83 tff(5267,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))),
% 41.23/26.83 inference(quant_inst,[status(thm)],[])).
% 41.23/26.83 tff(5268,plain,
% 41.23/26.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37))),
% 41.23/26.83 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 41.23/26.83 tff(5269,plain,
% 41.23/26.83 (v114(constB37)),
% 41.23/26.83 inference(unit_resolution,[status(thm)],[5268, 553, 5262])).
% 41.23/26.83 tff(5270,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v114(constB37)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v114(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5271,plain,
% 41.23/26.83 (((~v114(constB37)) | v113(constB37)) <=> (v113(constB37) | (~v114(constB37)))),
% 41.23/26.83 inference(rewrite,[status(thm)],[])).
% 41.23/26.83 tff(5272,plain,
% 41.23/26.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v114(constB37))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5271])).
% 41.24/26.84 tff(5273,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v114(constB37)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5272, 5270])).
% 41.24/26.84 tff(5274,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5275,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v114(constB37))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5274, 5273])).
% 41.24/26.84 tff(5276,plain,
% 41.24/26.84 (v113(constB37)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5275, 567, 5269])).
% 41.24/26.84 tff(5277,assumption,(~v108(constB37)), introduced(assumption)).
% 41.24/26.84 tff(5278,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5279,plain,
% 41.24/26.84 (((~v112(constB37)) | v108(constB37)) <=> (v108(constB37) | (~v112(constB37)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5280,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5279])).
% 41.24/26.84 tff(5281,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5280, 5278])).
% 41.24/26.84 tff(5282,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5283,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 41.24/26.84 tff(5284,plain,
% 41.24/26.84 (~v112(constB37)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5283, 746, 5277])).
% 41.24/26.84 tff(5285,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v26(constB37)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v26(constB37)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5286,plain,
% 41.24/26.84 (((~v26(constB37)) | v108(constB37)) <=> (v108(constB37) | (~v26(constB37)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5287,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v26(constB37))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5286])).
% 41.24/26.84 tff(5288,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v26(constB37)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5287, 5285])).
% 41.24/26.84 tff(5289,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB37)) | v108(constB37))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5290,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v26(constB37))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5289, 5288])).
% 41.24/26.84 tff(5291,plain,
% 41.24/26.84 (~v26(constB37)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5290, 1925, 5277])).
% 41.24/26.84 tff(5292,assumption,(v113(constB37)), introduced(assumption)).
% 41.24/26.84 tff(5293,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5294,plain,
% 41.24/26.84 ((v26(constB37) | (~v113(constB37)) | v112(constB37)) <=> (v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5295,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5294])).
% 41.24/26.84 tff(5296,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5295, 5293])).
% 41.24/26.84 tff(5297,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5298,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5297, 5296])).
% 41.24/26.84 tff(5299,plain,
% 41.24/26.84 (v26(constB37) | v112(constB37)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5298, 581, 5292])).
% 41.24/26.84 tff(5300,plain,
% 41.24/26.84 ($false),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5299, 5291, 5284])).
% 41.24/26.84 tff(5301,plain,(v108(constB37) | (~v113(constB37))), inference(lemma,lemma(discharge,[]))).
% 41.24/26.84 tff(5302,plain,
% 41.24/26.84 (v108(constB37)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5301, 5276])).
% 41.24/26.84 tff(5303,plain,
% 41.24/26.84 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5304,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 41.24/26.84 tff(5305,plain,
% 41.24/26.84 (nextState(constB37, constB38)),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5304, 5303])).
% 41.24/26.84 tff(5306,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5307,plain,
% 41.24/26.84 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5308,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5307])).
% 41.24/26.84 tff(5309,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5308, 5306])).
% 41.24/26.84 tff(5310,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5311,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5310, 5309])).
% 41.24/26.84 tff(5312,plain,
% 41.24/26.84 (v110(constB38) | (~v108(constB37))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5311, 731, 5305])).
% 41.24/26.84 tff(5313,plain,
% 41.24/26.84 (v110(constB38)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5312, 5302])).
% 41.24/26.84 tff(5314,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5315,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5316,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5315, 5314])).
% 41.24/26.84 tff(5317,plain,
% 41.24/26.84 (~v104(constB38)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5316, 659, 5305, 5142])).
% 41.24/26.84 tff(5318,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5319,plain,
% 41.24/26.84 (((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)) <=> ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5320,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38)))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5319])).
% 41.24/26.84 tff(5321,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5320, 5318])).
% 41.24/26.84 tff(5322,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5323,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38)),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5322, 5321])).
% 41.24/26.84 tff(5324,plain,
% 41.24/26.84 (v104(constB38) | v102(constB38)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5323, 673, 5305])).
% 41.24/26.84 tff(5325,plain,
% 41.24/26.84 (v102(constB38)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5324, 5317])).
% 41.24/26.84 tff(5326,plain,
% 41.24/26.84 (v1(constB38) <=> v1(constB38)),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5327,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 41.24/26.84 tff(5328,plain,
% 41.24/26.84 (v1(constB38)),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5327, 5326])).
% 41.24/26.84 tff(5329,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5330,plain,
% 41.24/26.84 (((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))) <=> ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5331,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5330])).
% 41.24/26.84 tff(5332,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5331, 5329])).
% 41.24/26.84 tff(5333,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5334,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5333, 5332])).
% 41.24/26.84 tff(5335,plain,
% 41.24/26.84 (v101(constB38) | (~v102(constB38))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5334, 694, 5305, 5328])).
% 41.24/26.84 tff(5336,plain,
% 41.24/26.84 (v101(constB38)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5335, 5325])).
% 41.24/26.84 tff(5337,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5338,plain,
% 41.24/26.84 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5339,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5338])).
% 41.24/26.84 tff(5340,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5339, 5337])).
% 41.24/26.84 tff(5341,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5342,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5341, 5340])).
% 41.24/26.84 tff(5343,plain,
% 41.24/26.84 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5342, 712, 5305])).
% 41.24/26.84 tff(5344,plain,
% 41.24/26.84 (v100(constB38) | (~v110(constB38))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5343, 5336])).
% 41.24/26.84 tff(5345,plain,
% 41.24/26.84 (v100(constB38)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5344, 5313])).
% 41.24/26.84 tff(5346,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB37)) | (~v130(constB37, bitIndex2)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5347,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex2)))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5348,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB37)) | (~v130(constB37, bitIndex2))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 41.24/26.84 tff(5349,plain,
% 41.24/26.84 (~v130(constB37, bitIndex2)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5348, 1732, 5234])).
% 41.24/26.84 tff(5350,assumption,(v26(constB37)), introduced(assumption)).
% 41.24/26.84 tff(5351,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5352,plain,
% 41.24/26.84 ($false),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5351, 95, 5350])).
% 41.24/26.84 tff(5353,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 41.24/26.84 tff(5354,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5355,plain,
% 41.24/26.84 ((v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2))) <=> ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5356,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5355])).
% 41.24/26.84 tff(5357,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5356, 5354])).
% 41.24/26.84 tff(5358,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5359,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5358, 5357])).
% 41.24/26.84 tff(5360,plain,
% 41.24/26.84 ((~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5359, 1419, 5353])).
% 41.24/26.84 tff(5361,plain,
% 41.24/26.84 (~v127(constB37, bitIndex2)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5360, 5349])).
% 41.24/26.84 tff(5362,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5363,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5364,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 41.24/26.84 tff(5365,plain,
% 41.24/26.84 (v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5364, 1437, 5305])).
% 41.24/26.84 tff(5366,plain,
% 41.24/26.84 (~v129(constB38, bitIndex2)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5365, 5361])).
% 41.24/26.84 tff(5367,plain,
% 41.24/26.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5368,plain,
% 41.24/26.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5369,plain,
% 41.24/26.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5368, 5367])).
% 41.24/26.84 tff(5370,plain,
% 41.24/26.84 ((~v90(constB38, bitIndex2)) | (~v100(constB38))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5369, 1452, 5366])).
% 41.24/26.84 tff(5371,plain,
% 41.24/26.84 (~v90(constB38, bitIndex2)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5370, 5345])).
% 41.24/26.84 tff(5372,plain,
% 41.24/26.84 ((~v1(constB39)) <=> (~v1(constB39))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5373,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 41.24/26.84 tff(5374,plain,
% 41.24/26.84 (~v1(constB39)),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5373, 5372])).
% 41.24/26.84 tff(5375,plain,
% 41.24/26.84 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5376,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 41.24/26.84 tff(5377,plain,
% 41.24/26.84 (nextState(constB38, constB39)),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5376, 5375])).
% 41.24/26.84 tff(5378,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5379,plain,
% 41.24/26.84 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5380,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5379])).
% 41.24/26.84 tff(5381,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5380, 5378])).
% 41.24/26.84 tff(5382,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5383,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 41.24/26.84 tff(5384,plain,
% 41.24/26.84 (~v101(constB39)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5383, 391, 5377, 5374])).
% 41.24/26.84 tff(5385,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5386,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5387,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 41.24/26.84 tff(5388,plain,
% 41.24/26.84 (v101(constB39) | (~v100(constB39))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5387, 408, 5377])).
% 41.24/26.84 tff(5389,plain,
% 41.24/26.84 (~v100(constB39)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5388, 5384])).
% 41.24/26.84 tff(5390,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5391,plain,
% 41.24/26.84 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5392,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5391])).
% 41.24/26.84 tff(5393,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5392, 5390])).
% 41.24/26.84 tff(5394,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5395,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5394, 5393])).
% 41.24/26.84 tff(5396,plain,
% 41.24/26.84 (v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5395, 423, 5377])).
% 41.24/26.84 tff(5397,plain,
% 41.24/26.84 (v90(constB38, bitIndex2) | (~v90(constB39, bitIndex2))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5396, 5389])).
% 41.24/26.84 tff(5398,plain,
% 41.24/26.84 (~v90(constB39, bitIndex2)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5397, 5371])).
% 41.24/26.84 tff(5399,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5400,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5401,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1)),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5400, 5399])).
% 41.24/26.84 tff(5402,plain,
% 41.24/26.84 (v130(constB37, bitIndex1)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5401, 1788, 5234])).
% 41.24/26.84 tff(5403,plain,
% 41.24/26.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5404,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5405,plain,
% 41.24/26.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5404, 5403])).
% 41.24/26.84 tff(5406,plain,
% 41.24/26.84 ((~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5405, 1144, 5353])).
% 41.24/26.84 tff(5407,plain,
% 41.24/26.84 (v127(constB37, bitIndex1)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5406, 5402])).
% 41.24/26.84 tff(5408,plain,
% 41.24/26.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5409,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5410,plain,
% 41.24/26.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5409, 5408])).
% 41.24/26.84 tff(5411,plain,
% 41.24/26.84 ((~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5410, 1159, 5305])).
% 41.24/26.84 tff(5412,plain,
% 41.24/26.84 (v129(constB38, bitIndex1)),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5411, 5407])).
% 41.24/26.84 tff(5413,plain,
% 41.24/26.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5414,plain,
% 41.24/26.84 ((v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 41.24/26.84 inference(rewrite,[status(thm)],[])).
% 41.24/26.84 tff(5415,plain,
% 41.24/26.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38))))),
% 41.24/26.84 inference(monotonicity,[status(thm)],[5414])).
% 41.24/26.84 tff(5416,plain,
% 41.24/26.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 41.24/26.84 inference(transitivity,[status(thm)],[5415, 5413])).
% 41.24/26.84 tff(5417,plain,
% 41.24/26.84 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))),
% 41.24/26.84 inference(quant_inst,[status(thm)],[])).
% 41.24/26.84 tff(5418,plain,
% 41.24/26.84 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38))),
% 41.24/26.84 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 41.24/26.84 tff(5419,plain,
% 41.24/26.84 (v90(constB38, bitIndex1) | (~v100(constB38))),
% 41.24/26.84 inference(unit_resolution,[status(thm)],[5418, 1174, 5412])).
% 41.24/26.85 tff(5420,plain,
% 41.24/26.85 (v90(constB38, bitIndex1)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5419, 5345])).
% 41.24/26.85 tff(5421,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5422,plain,
% 41.24/26.85 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5423,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1)))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5422])).
% 41.24/26.85 tff(5424,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5423, 5421])).
% 41.24/26.85 tff(5425,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5426,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5425, 5424])).
% 41.24/26.85 tff(5427,plain,
% 41.24/26.85 ((~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5426, 1192, 5377])).
% 41.24/26.85 tff(5428,plain,
% 41.24/26.85 ((~v90(constB38, bitIndex1)) | v90(constB39, bitIndex1)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5427, 5389])).
% 41.24/26.85 tff(5429,plain,
% 41.24/26.85 (v90(constB39, bitIndex1)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5428, 5420])).
% 41.24/26.85 tff(5430,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB37)) | (~v130(constB37, bitIndex0)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5431,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex0)))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5432,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB37)) | (~v130(constB37, bitIndex0))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 41.24/26.85 tff(5433,plain,
% 41.24/26.85 (~v130(constB37, bitIndex0)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5432, 1826, 5234])).
% 41.24/26.85 tff(5434,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5435,plain,
% 41.24/26.85 ((v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0))) <=> ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5436,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0)))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5435])).
% 41.24/26.85 tff(5437,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5436, 5434])).
% 41.24/26.85 tff(5438,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5439,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 41.24/26.85 tff(5440,plain,
% 41.24/26.85 ((~v127(constB37, bitIndex0)) | v130(constB37, bitIndex0)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5439, 907, 5353])).
% 41.24/26.85 tff(5441,plain,
% 41.24/26.85 (~v127(constB37, bitIndex0)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5440, 5433])).
% 41.24/26.85 tff(5442,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5443,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5444,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5443, 5442])).
% 41.24/26.85 tff(5445,plain,
% 41.24/26.85 (v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0))),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5444, 937, 5305])).
% 41.24/26.85 tff(5446,plain,
% 41.24/26.85 (~v129(constB38, bitIndex0)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5445, 5441])).
% 41.24/26.85 tff(5447,plain,
% 41.24/26.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5448,plain,
% 41.24/26.85 (((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0)) <=> ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5449,plain,
% 41.24/26.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38))))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5448])).
% 41.24/26.85 tff(5450,plain,
% 41.24/26.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5449, 5447])).
% 41.24/26.85 tff(5451,plain,
% 41.24/26.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5452,plain,
% 41.24/26.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 41.24/26.85 tff(5453,plain,
% 41.24/26.85 ((~v90(constB38, bitIndex0)) | (~v100(constB38))),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5452, 952, 5446])).
% 41.24/26.85 tff(5454,plain,
% 41.24/26.85 (~v90(constB38, bitIndex0)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5453, 5345])).
% 41.24/26.85 tff(5455,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5456,plain,
% 41.24/26.85 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5457,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0))))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5456])).
% 41.24/26.85 tff(5458,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5457, 5455])).
% 41.24/26.85 tff(5459,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5460,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5459, 5458])).
% 41.24/26.85 tff(5461,plain,
% 41.24/26.85 (v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0))),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5460, 465, 5377])).
% 41.24/26.85 tff(5462,plain,
% 41.24/26.85 (v90(constB38, bitIndex0) | (~v90(constB39, bitIndex0))),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5461, 5389])).
% 41.24/26.85 tff(5463,plain,
% 41.24/26.85 (~v90(constB39, bitIndex0)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5462, 5454])).
% 41.24/26.85 tff(5464,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5465,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5466,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5465, 5464])).
% 41.24/26.85 tff(5467,plain,
% 41.24/26.85 (v121(constB39)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5466, 1870, 5463, 5429, 5398])).
% 41.24/26.85 tff(5468,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB39)) | v117(constB39))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5469,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB39)) | v117(constB39))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5470,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB39)) | v117(constB39)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5469, 5468])).
% 41.24/26.85 tff(5471,plain,
% 41.24/26.85 (v117(constB39)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5470, 1881, 5467])).
% 41.24/26.85 tff(5472,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5473,plain,
% 41.24/26.85 (((~v117(constB39)) | v116(constB39)) <=> (v116(constB39) | (~v117(constB39)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5474,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39))))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5473])).
% 41.24/26.85 tff(5475,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5474, 5472])).
% 41.24/26.85 tff(5476,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5477,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5476, 5475])).
% 41.24/26.85 tff(5478,plain,
% 41.24/26.85 (v116(constB39)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5477, 525, 5471])).
% 41.24/26.85 tff(5479,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v116(constB39)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v116(constB39)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5480,plain,
% 41.24/26.85 (((~v116(constB39)) | v115(constB39)) <=> (v115(constB39) | (~v116(constB39)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5481,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v116(constB39))))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5480])).
% 41.24/26.85 tff(5482,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v116(constB39)))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5481, 5479])).
% 41.24/26.85 tff(5483,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5484,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v116(constB39))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 41.24/26.85 tff(5485,plain,
% 41.24/26.85 (v115(constB39)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5484, 539, 5478])).
% 41.24/26.85 tff(5486,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB39)) | v114(constB39))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5487,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5488,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB39)) | v114(constB39)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 41.24/26.85 tff(5489,plain,
% 41.24/26.85 (v114(constB39)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5488, 553, 5485])).
% 41.24/26.85 tff(5490,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB39)) | v113(constB39))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5491,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5492,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB39)) | v113(constB39)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5491, 5490])).
% 41.24/26.85 tff(5493,plain,
% 41.24/26.85 (v113(constB39)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5492, 567, 5489])).
% 41.24/26.85 tff(5494,assumption,(v26(constB39)), introduced(assumption)).
% 41.24/26.85 tff(5495,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5496,plain,
% 41.24/26.85 ($false),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5495, 95, 5494])).
% 41.24/26.85 tff(5497,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 41.24/26.85 tff(5498,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5499,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5500,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 41.24/26.85 tff(5501,plain,
% 41.24/26.85 ((~v113(constB39)) | v112(constB39)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5500, 581, 5497])).
% 41.24/26.85 tff(5502,plain,
% 41.24/26.85 (v112(constB39)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5501, 5493])).
% 41.24/26.85 tff(5503,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5504,plain,
% 41.24/26.85 (((~v112(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v112(constB39)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5505,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39))))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5504])).
% 41.24/26.85 tff(5506,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5505, 5503])).
% 41.24/26.85 tff(5507,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5508,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5507, 5506])).
% 41.24/26.85 tff(5509,plain,
% 41.24/26.85 (v108(constB39)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5508, 746, 5502])).
% 41.24/26.85 tff(5510,plain,
% 41.24/26.85 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5511,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 41.24/26.85 tff(5512,plain,
% 41.24/26.85 (nextState(constB39, constB40)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5511, 5510])).
% 41.24/26.85 tff(5513,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5514,plain,
% 41.24/26.85 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5515,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5514])).
% 41.24/26.85 tff(5516,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5515, 5513])).
% 41.24/26.85 tff(5517,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5518,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5517, 5516])).
% 41.24/26.85 tff(5519,plain,
% 41.24/26.85 (v110(constB40) | (~v108(constB39))),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5518, 731, 5512])).
% 41.24/26.85 tff(5520,plain,
% 41.24/26.85 (v110(constB40)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5519, 5509])).
% 41.24/26.85 tff(5521,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5522,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5523,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5522, 5521])).
% 41.24/26.85 tff(5524,plain,
% 41.24/26.85 (~v104(constB40)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5523, 659, 5512, 5374])).
% 41.24/26.85 tff(5525,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5526,plain,
% 41.24/26.85 (((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)) <=> ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5527,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40)))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5526])).
% 41.24/26.85 tff(5528,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5527, 5525])).
% 41.24/26.85 tff(5529,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5530,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5529, 5528])).
% 41.24/26.85 tff(5531,plain,
% 41.24/26.85 (v104(constB40) | v102(constB40)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5530, 673, 5512])).
% 41.24/26.85 tff(5532,plain,
% 41.24/26.85 (v102(constB40)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5531, 5524])).
% 41.24/26.85 tff(5533,plain,
% 41.24/26.85 (v1(constB40) <=> v1(constB40)),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5534,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 41.24/26.85 tff(5535,plain,
% 41.24/26.85 (v1(constB40)),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 41.24/26.85 tff(5536,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5537,plain,
% 41.24/26.85 (((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))) <=> ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5538,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40))))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5537])).
% 41.24/26.85 tff(5539,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5538, 5536])).
% 41.24/26.85 tff(5540,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5541,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5540, 5539])).
% 41.24/26.85 tff(5542,plain,
% 41.24/26.85 (v101(constB40) | (~v102(constB40))),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5541, 694, 5512, 5535])).
% 41.24/26.85 tff(5543,plain,
% 41.24/26.85 (v101(constB40)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5542, 5532])).
% 41.24/26.85 tff(5544,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5545,plain,
% 41.24/26.85 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5546,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5545])).
% 41.24/26.85 tff(5547,plain,
% 41.24/26.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5546, 5544])).
% 41.24/26.85 tff(5548,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5549,plain,
% 41.24/26.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5548, 5547])).
% 41.24/26.85 tff(5550,plain,
% 41.24/26.85 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5549, 712, 5512])).
% 41.24/26.85 tff(5551,plain,
% 41.24/26.85 (v100(constB40) | (~v110(constB40))),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5550, 5543])).
% 41.24/26.85 tff(5552,plain,
% 41.24/26.85 (v100(constB40)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5551, 5520])).
% 41.24/26.85 tff(5553,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB39)) | (~v130(constB39, bitIndex2)))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5554,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB39)) | (~v130(constB39, bitIndex2)))),
% 41.24/26.85 inference(quant_inst,[status(thm)],[])).
% 41.24/26.85 tff(5555,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB39)) | (~v130(constB39, bitIndex2))),
% 41.24/26.85 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 41.24/26.85 tff(5556,plain,
% 41.24/26.85 (~v130(constB39, bitIndex2)),
% 41.24/26.85 inference(unit_resolution,[status(thm)],[5555, 1990, 5467])).
% 41.24/26.85 tff(5557,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5558,plain,
% 41.24/26.85 ((v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2))) <=> ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 41.24/26.85 inference(rewrite,[status(thm)],[])).
% 41.24/26.85 tff(5559,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)))),
% 41.24/26.85 inference(monotonicity,[status(thm)],[5558])).
% 41.24/26.85 tff(5560,plain,
% 41.24/26.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 41.24/26.85 inference(transitivity,[status(thm)],[5559, 5557])).
% 41.24/26.85 tff(5561,plain,
% 41.24/26.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5562,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5561, 5560])).
% 41.24/26.86 tff(5563,plain,
% 41.24/26.86 ((~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5562, 1419, 5497])).
% 41.24/26.86 tff(5564,plain,
% 41.24/26.86 (~v127(constB39, bitIndex2)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5563, 5556])).
% 41.24/26.86 tff(5565,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5566,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5567,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 41.24/26.86 tff(5568,plain,
% 41.24/26.86 (v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5567, 1437, 5512])).
% 41.24/26.86 tff(5569,plain,
% 41.24/26.86 (~v129(constB40, bitIndex2)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5568, 5564])).
% 41.24/26.86 tff(5570,plain,
% 41.24/26.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5571,plain,
% 41.24/26.86 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5572,plain,
% 41.24/26.86 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 41.24/26.86 tff(5573,plain,
% 41.24/26.86 ((~v90(constB40, bitIndex2)) | (~v100(constB40))),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5572, 1452, 5569])).
% 41.24/26.86 tff(5574,plain,
% 41.24/26.86 (~v90(constB40, bitIndex2)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5573, 5552])).
% 41.24/26.86 tff(5575,plain,
% 41.24/26.86 ((~v1(constB41)) <=> (~v1(constB41))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5576,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 41.24/26.86 tff(5577,plain,
% 41.24/26.86 (~v1(constB41)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5576, 5575])).
% 41.24/26.86 tff(5578,plain,
% 41.24/26.86 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5579,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 41.24/26.86 tff(5580,plain,
% 41.24/26.86 (nextState(constB40, constB41)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5579, 5578])).
% 41.24/26.86 tff(5581,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5582,plain,
% 41.24/26.86 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5583,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 41.24/26.86 inference(monotonicity,[status(thm)],[5582])).
% 41.24/26.86 tff(5584,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 41.24/26.86 inference(transitivity,[status(thm)],[5583, 5581])).
% 41.24/26.86 tff(5585,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5586,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5585, 5584])).
% 41.24/26.86 tff(5587,plain,
% 41.24/26.86 (~v101(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5586, 391, 5580, 5577])).
% 41.24/26.86 tff(5588,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5589,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5590,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5589, 5588])).
% 41.24/26.86 tff(5591,plain,
% 41.24/26.86 (v101(constB41) | (~v100(constB41))),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5590, 408, 5580])).
% 41.24/26.86 tff(5592,plain,
% 41.24/26.86 (~v100(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5591, 5587])).
% 41.24/26.86 tff(5593,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5594,plain,
% 41.24/26.86 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))) <=> (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5595,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))))),
% 41.24/26.86 inference(monotonicity,[status(thm)],[5594])).
% 41.24/26.86 tff(5596,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 41.24/26.86 inference(transitivity,[status(thm)],[5595, 5593])).
% 41.24/26.86 tff(5597,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5598,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 41.24/26.86 tff(5599,plain,
% 41.24/26.86 (v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5598, 423, 5580])).
% 41.24/26.86 tff(5600,plain,
% 41.24/26.86 (v90(constB40, bitIndex2) | (~v90(constB41, bitIndex2))),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5599, 5592])).
% 41.24/26.86 tff(5601,plain,
% 41.24/26.86 (~v90(constB41, bitIndex2)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5600, 5574])).
% 41.24/26.86 tff(5602,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB39)) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB39)) | v130(constB39, bitIndex1))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5603,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB39)) | v130(constB39, bitIndex1))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5604,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB39)) | v130(constB39, bitIndex1)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5603, 5602])).
% 41.24/26.86 tff(5605,plain,
% 41.24/26.86 (v130(constB39, bitIndex1)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5604, 2050, 5467])).
% 41.24/26.86 tff(5606,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5607,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5608,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5607, 5606])).
% 41.24/26.86 tff(5609,plain,
% 41.24/26.86 ((~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5608, 1144, 5497])).
% 41.24/26.86 tff(5610,plain,
% 41.24/26.86 (v127(constB39, bitIndex1)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5609, 5605])).
% 41.24/26.86 tff(5611,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5612,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5613,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5612, 5611])).
% 41.24/26.86 tff(5614,plain,
% 41.24/26.86 ((~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5613, 1159, 5512])).
% 41.24/26.86 tff(5615,plain,
% 41.24/26.86 (v129(constB40, bitIndex1)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5614, 5610])).
% 41.24/26.86 tff(5616,plain,
% 41.24/26.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5617,plain,
% 41.24/26.86 ((v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5618,plain,
% 41.24/26.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))))),
% 41.24/26.86 inference(monotonicity,[status(thm)],[5617])).
% 41.24/26.86 tff(5619,plain,
% 41.24/26.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 41.24/26.86 inference(transitivity,[status(thm)],[5618, 5616])).
% 41.24/26.86 tff(5620,plain,
% 41.24/26.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5621,plain,
% 41.24/26.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 41.24/26.86 tff(5622,plain,
% 41.24/26.86 (v90(constB40, bitIndex1) | (~v100(constB40))),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5621, 1174, 5615])).
% 41.24/26.86 tff(5623,plain,
% 41.24/26.86 (v90(constB40, bitIndex1)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5622, 5552])).
% 41.24/26.86 tff(5624,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5625,plain,
% 41.24/26.86 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5626,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)))),
% 41.24/26.86 inference(monotonicity,[status(thm)],[5625])).
% 41.24/26.86 tff(5627,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 41.24/26.86 inference(transitivity,[status(thm)],[5626, 5624])).
% 41.24/26.86 tff(5628,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5629,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 41.24/26.86 tff(5630,plain,
% 41.24/26.86 ((~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5629, 1192, 5580])).
% 41.24/26.86 tff(5631,plain,
% 41.24/26.86 ((~v90(constB40, bitIndex1)) | v90(constB41, bitIndex1)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5630, 5592])).
% 41.24/26.86 tff(5632,plain,
% 41.24/26.86 (v90(constB41, bitIndex1)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5631, 5623])).
% 41.24/26.86 tff(5633,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB39)) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB39)) | v130(constB39, bitIndex0))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5634,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB39)) | v130(constB39, bitIndex0))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5635,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB39)) | v130(constB39, bitIndex0)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 41.24/26.86 tff(5636,plain,
% 41.24/26.86 (v130(constB39, bitIndex0)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5635, 2088, 5467])).
% 41.24/26.86 tff(5637,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5638,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5639,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 41.24/26.86 tff(5640,plain,
% 41.24/26.86 ((~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5639, 1552, 5497])).
% 41.24/26.86 tff(5641,plain,
% 41.24/26.86 (v127(constB39, bitIndex0)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5640, 5636])).
% 41.24/26.86 tff(5642,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5643,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5644,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5643, 5642])).
% 41.24/26.86 tff(5645,plain,
% 41.24/26.86 ((~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5644, 1567, 5512])).
% 41.24/26.86 tff(5646,plain,
% 41.24/26.86 (v129(constB40, bitIndex0)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5645, 5641])).
% 41.24/26.86 tff(5647,plain,
% 41.24/26.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5648,plain,
% 41.24/26.86 ((v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5649,plain,
% 41.24/26.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40))))),
% 41.24/26.86 inference(monotonicity,[status(thm)],[5648])).
% 41.24/26.86 tff(5650,plain,
% 41.24/26.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 41.24/26.86 inference(transitivity,[status(thm)],[5649, 5647])).
% 41.24/26.86 tff(5651,plain,
% 41.24/26.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5652,plain,
% 41.24/26.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5651, 5650])).
% 41.24/26.86 tff(5653,plain,
% 41.24/26.86 (v90(constB40, bitIndex0) | (~v100(constB40))),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5652, 1582, 5646])).
% 41.24/26.86 tff(5654,plain,
% 41.24/26.86 (v90(constB40, bitIndex0)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5653, 5552])).
% 41.24/26.86 tff(5655,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5656,plain,
% 41.24/26.86 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5657,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0)))),
% 41.24/26.86 inference(monotonicity,[status(thm)],[5656])).
% 41.24/26.86 tff(5658,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 41.24/26.86 inference(transitivity,[status(thm)],[5657, 5655])).
% 41.24/26.86 tff(5659,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5660,plain,
% 41.24/26.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 41.24/26.86 tff(5661,plain,
% 41.24/26.86 ((~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5660, 1600, 5580])).
% 41.24/26.86 tff(5662,plain,
% 41.24/26.86 ((~v90(constB40, bitIndex0)) | v90(constB41, bitIndex0)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5661, 5592])).
% 41.24/26.86 tff(5663,plain,
% 41.24/26.86 (v90(constB41, bitIndex0)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5662, 5654])).
% 41.24/26.86 tff(5664,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5665,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5666,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 41.24/26.86 tff(5667,plain,
% 41.24/26.86 (v122(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5666, 2129, 5663, 5632, 5601])).
% 41.24/26.86 tff(5668,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB41)) | v116(constB41))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5669,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB41)) | v116(constB41))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5670,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB41)) | v116(constB41)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 41.24/26.86 tff(5671,plain,
% 41.24/26.86 (v116(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5670, 2140, 5667])).
% 41.24/26.86 tff(5672,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5673,plain,
% 41.24/26.86 (((~v116(constB41)) | v115(constB41)) <=> (v115(constB41) | (~v116(constB41)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5674,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41))))),
% 41.24/26.86 inference(monotonicity,[status(thm)],[5673])).
% 41.24/26.86 tff(5675,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 41.24/26.86 inference(transitivity,[status(thm)],[5674, 5672])).
% 41.24/26.86 tff(5676,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5677,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5676, 5675])).
% 41.24/26.86 tff(5678,plain,
% 41.24/26.86 (v115(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5677, 539, 5671])).
% 41.24/26.86 tff(5679,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB41)) | v114(constB41))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5680,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5681,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB41)) | v114(constB41)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 41.24/26.86 tff(5682,plain,
% 41.24/26.86 (v114(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5681, 553, 5678])).
% 41.24/26.86 tff(5683,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5684,plain,
% 41.24/26.86 (((~v114(constB41)) | v113(constB41)) <=> (v113(constB41) | (~v114(constB41)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5685,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41))))),
% 41.24/26.86 inference(monotonicity,[status(thm)],[5684])).
% 41.24/26.86 tff(5686,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 41.24/26.86 inference(transitivity,[status(thm)],[5685, 5683])).
% 41.24/26.86 tff(5687,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5688,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5687, 5686])).
% 41.24/26.86 tff(5689,plain,
% 41.24/26.86 (v113(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5688, 567, 5682])).
% 41.24/26.86 tff(5690,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5691,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5692,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 41.24/26.86 tff(5693,plain,
% 41.24/26.86 (v26(constB41) | v112(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5692, 581, 5689])).
% 41.24/26.86 tff(5694,plain,
% 41.24/26.86 (v112(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5693, 130])).
% 41.24/26.86 tff(5695,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5696,plain,
% 41.24/26.86 (((~v112(constB41)) | v108(constB41)) <=> (v108(constB41) | (~v112(constB41)))),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5697,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41))))),
% 41.24/26.86 inference(monotonicity,[status(thm)],[5696])).
% 41.24/26.86 tff(5698,plain,
% 41.24/26.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 41.24/26.86 inference(transitivity,[status(thm)],[5697, 5695])).
% 41.24/26.86 tff(5699,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))),
% 41.24/26.86 inference(quant_inst,[status(thm)],[])).
% 41.24/26.86 tff(5700,plain,
% 41.24/26.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41))),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5699, 5698])).
% 41.24/26.86 tff(5701,plain,
% 41.24/26.86 (v108(constB41)),
% 41.24/26.86 inference(unit_resolution,[status(thm)],[5700, 746, 5694])).
% 41.24/26.86 tff(5702,plain,
% 41.24/26.86 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 41.24/26.86 inference(rewrite,[status(thm)],[])).
% 41.24/26.86 tff(5703,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 41.24/26.86 tff(5704,plain,
% 41.24/26.86 (nextState(constB41, constB42)),
% 41.24/26.86 inference(modus_ponens,[status(thm)],[5703, 5702])).
% 41.24/26.86 tff(5705,plain,
% 41.24/26.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5706,plain,
% 41.24/26.87 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5707,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5706])).
% 41.24/26.87 tff(5708,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5707, 5705])).
% 41.24/26.87 tff(5709,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5710,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5709, 5708])).
% 41.24/26.87 tff(5711,plain,
% 41.24/26.87 (v110(constB42) | (~v108(constB41))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5710, 731, 5704])).
% 41.24/26.87 tff(5712,plain,
% 41.24/26.87 (v110(constB42)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5711, 5701])).
% 41.24/26.87 tff(5713,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5714,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5715,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5714, 5713])).
% 41.24/26.87 tff(5716,plain,
% 41.24/26.87 (~v104(constB42)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5715, 659, 5704, 5577])).
% 41.24/26.87 tff(5717,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5718,plain,
% 41.24/26.87 (((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)) <=> ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5719,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42)))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5718])).
% 41.24/26.87 tff(5720,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5719, 5717])).
% 41.24/26.87 tff(5721,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5722,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42)),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5721, 5720])).
% 41.24/26.87 tff(5723,plain,
% 41.24/26.87 (v104(constB42) | v102(constB42)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5722, 673, 5704])).
% 41.24/26.87 tff(5724,plain,
% 41.24/26.87 (v102(constB42)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5723, 5716])).
% 41.24/26.87 tff(5725,plain,
% 41.24/26.87 (v1(constB42) <=> v1(constB42)),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5726,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 41.24/26.87 tff(5727,plain,
% 41.24/26.87 (v1(constB42)),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 41.24/26.87 tff(5728,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5729,plain,
% 41.24/26.87 (((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))) <=> ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5730,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42))))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5729])).
% 41.24/26.87 tff(5731,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5730, 5728])).
% 41.24/26.87 tff(5732,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5733,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5732, 5731])).
% 41.24/26.87 tff(5734,plain,
% 41.24/26.87 (v101(constB42) | (~v102(constB42))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5733, 694, 5704, 5727])).
% 41.24/26.87 tff(5735,plain,
% 41.24/26.87 (v101(constB42)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5734, 5724])).
% 41.24/26.87 tff(5736,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5737,plain,
% 41.24/26.87 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5738,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5737])).
% 41.24/26.87 tff(5739,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5738, 5736])).
% 41.24/26.87 tff(5740,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5741,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 41.24/26.87 tff(5742,plain,
% 41.24/26.87 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5741, 712, 5704])).
% 41.24/26.87 tff(5743,plain,
% 41.24/26.87 (v100(constB42) | (~v110(constB42))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5742, 5735])).
% 41.24/26.87 tff(5744,plain,
% 41.24/26.87 (v100(constB42)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5743, 5712])).
% 41.24/26.87 tff(5745,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB41)) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB41)) | v130(constB41, bitIndex2))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5746,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB41)) | v130(constB41, bitIndex2))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5747,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB41)) | v130(constB41, bitIndex2)),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5746, 5745])).
% 41.24/26.87 tff(5748,plain,
% 41.24/26.87 (v130(constB41, bitIndex2)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5747, 2224, 5667])).
% 41.24/26.87 tff(5749,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5750,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5751,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2)),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5750, 5749])).
% 41.24/26.87 tff(5752,plain,
% 41.24/26.87 (v26(constB41) | v127(constB41, bitIndex2)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5751, 607, 5748])).
% 41.24/26.87 tff(5753,plain,
% 41.24/26.87 (v127(constB41, bitIndex2)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5752, 130])).
% 41.24/26.87 tff(5754,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5755,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5756,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2)),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 41.24/26.87 tff(5757,plain,
% 41.24/26.87 ((~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5756, 625, 5704])).
% 41.24/26.87 tff(5758,plain,
% 41.24/26.87 (v129(constB42, bitIndex2)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5757, 5753])).
% 41.24/26.87 tff(5759,plain,
% 41.24/26.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5760,plain,
% 41.24/26.87 ((v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5761,plain,
% 41.24/26.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42))))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5760])).
% 41.24/26.87 tff(5762,plain,
% 41.24/26.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5761, 5759])).
% 41.24/26.87 tff(5763,plain,
% 41.24/26.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5764,plain,
% 41.24/26.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 41.24/26.87 tff(5765,plain,
% 41.24/26.87 (v90(constB42, bitIndex2) | (~v100(constB42))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5764, 641, 5758])).
% 41.24/26.87 tff(5766,plain,
% 41.24/26.87 (v90(constB42, bitIndex2)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5765, 5744])).
% 41.24/26.87 tff(5767,plain,
% 41.24/26.87 ((~v1(constB43)) <=> (~v1(constB43))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5768,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 41.24/26.87 tff(5769,plain,
% 41.24/26.87 (~v1(constB43)),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5768, 5767])).
% 41.24/26.87 tff(5770,plain,
% 41.24/26.87 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5771,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 41.24/26.87 tff(5772,plain,
% 41.24/26.87 (nextState(constB42, constB43)),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5771, 5770])).
% 41.24/26.87 tff(5773,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5774,plain,
% 41.24/26.87 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5775,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5774])).
% 41.24/26.87 tff(5776,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5775, 5773])).
% 41.24/26.87 tff(5777,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5778,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5777, 5776])).
% 41.24/26.87 tff(5779,plain,
% 41.24/26.87 (~v101(constB43)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5778, 391, 5772, 5769])).
% 41.24/26.87 tff(5780,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5781,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5782,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5781, 5780])).
% 41.24/26.87 tff(5783,plain,
% 41.24/26.87 (v101(constB43) | (~v100(constB43))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5782, 408, 5772])).
% 41.24/26.87 tff(5784,plain,
% 41.24/26.87 (~v100(constB43)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5783, 5779])).
% 41.24/26.87 tff(5785,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5786,plain,
% 41.24/26.87 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2)) <=> ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5787,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2)))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5786])).
% 41.24/26.87 tff(5788,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5787, 5785])).
% 41.24/26.87 tff(5789,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5790,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2)),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5789, 5788])).
% 41.24/26.87 tff(5791,plain,
% 41.24/26.87 ((~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5790, 783, 5772])).
% 41.24/26.87 tff(5792,plain,
% 41.24/26.87 ((~v90(constB42, bitIndex2)) | v90(constB43, bitIndex2)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5791, 5784])).
% 41.24/26.87 tff(5793,plain,
% 41.24/26.87 (v90(constB43, bitIndex2)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5792, 5766])).
% 41.24/26.87 tff(5794,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB41)) | (~v130(constB41, bitIndex1)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5795,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex1)))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5796,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB41)) | (~v130(constB41, bitIndex1))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 41.24/26.87 tff(5797,plain,
% 41.24/26.87 (~v130(constB41, bitIndex1)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5796, 2281, 5667])).
% 41.24/26.87 tff(5798,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5799,plain,
% 41.24/26.87 ((v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1))) <=> ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5800,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1)))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5799])).
% 41.24/26.87 tff(5801,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5800, 5798])).
% 41.24/26.87 tff(5802,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5803,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1)),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5802, 5801])).
% 41.24/26.87 tff(5804,plain,
% 41.24/26.87 ((~v127(constB41, bitIndex1)) | v26(constB41)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5803, 823, 5797])).
% 41.24/26.87 tff(5805,plain,
% 41.24/26.87 (~v127(constB41, bitIndex1)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5804, 130])).
% 41.24/26.87 tff(5806,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5807,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5808,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5807, 5806])).
% 41.24/26.87 tff(5809,plain,
% 41.24/26.87 (v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5808, 853, 5704])).
% 41.24/26.87 tff(5810,plain,
% 41.24/26.87 (~v129(constB42, bitIndex1)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5809, 5805])).
% 41.24/26.87 tff(5811,plain,
% 41.24/26.87 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5812,plain,
% 41.24/26.87 (((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1)) <=> ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5813,plain,
% 41.24/26.87 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42))))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5812])).
% 41.24/26.87 tff(5814,plain,
% 41.24/26.87 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5813, 5811])).
% 41.24/26.87 tff(5815,plain,
% 41.24/26.87 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5816,plain,
% 41.24/26.87 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5815, 5814])).
% 41.24/26.87 tff(5817,plain,
% 41.24/26.87 ((~v90(constB42, bitIndex1)) | (~v100(constB42))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5816, 868, 5810])).
% 41.24/26.87 tff(5818,plain,
% 41.24/26.87 (~v90(constB42, bitIndex1)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5817, 5744])).
% 41.24/26.87 tff(5819,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5820,plain,
% 41.24/26.87 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1))) <=> (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5821,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1))))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5820])).
% 41.24/26.87 tff(5822,plain,
% 41.24/26.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5821, 5819])).
% 41.24/26.87 tff(5823,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5824,plain,
% 41.24/26.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5823, 5822])).
% 41.24/26.87 tff(5825,plain,
% 41.24/26.87 (v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5824, 444, 5772])).
% 41.24/26.87 tff(5826,plain,
% 41.24/26.87 (v90(constB42, bitIndex1) | (~v90(constB43, bitIndex1))),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5825, 5784])).
% 41.24/26.87 tff(5827,plain,
% 41.24/26.87 (~v90(constB43, bitIndex1)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5826, 5818])).
% 41.24/26.87 tff(5828,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB41)) | (~v130(constB41, bitIndex0)))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5829,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex0)))),
% 41.24/26.87 inference(quant_inst,[status(thm)],[])).
% 41.24/26.87 tff(5830,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB41)) | (~v130(constB41, bitIndex0))),
% 41.24/26.87 inference(modus_ponens,[status(thm)],[5829, 5828])).
% 41.24/26.87 tff(5831,plain,
% 41.24/26.87 (~v130(constB41, bitIndex0)),
% 41.24/26.87 inference(unit_resolution,[status(thm)],[5830, 2327, 5667])).
% 41.24/26.87 tff(5832,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5833,plain,
% 41.24/26.87 ((v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0))) <=> ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 41.24/26.87 inference(rewrite,[status(thm)],[])).
% 41.24/26.87 tff(5834,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0)))),
% 41.24/26.87 inference(monotonicity,[status(thm)],[5833])).
% 41.24/26.87 tff(5835,plain,
% 41.24/26.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 41.24/26.87 inference(transitivity,[status(thm)],[5834, 5832])).
% 41.24/26.87 tff(5836,plain,
% 41.24/26.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5837,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5836, 5835])).
% 41.24/26.88 tff(5838,plain,
% 41.24/26.88 ((~v127(constB41, bitIndex0)) | v26(constB41)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5837, 907, 5831])).
% 41.24/26.88 tff(5839,plain,
% 41.24/26.88 (~v127(constB41, bitIndex0)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5838, 130])).
% 41.24/26.88 tff(5840,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5841,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5842,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5841, 5840])).
% 41.24/26.88 tff(5843,plain,
% 41.24/26.88 (v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0))),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5842, 937, 5704])).
% 41.24/26.88 tff(5844,plain,
% 41.24/26.88 (~v129(constB42, bitIndex0)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5843, 5839])).
% 41.24/26.88 tff(5845,plain,
% 41.24/26.88 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5846,plain,
% 41.24/26.88 (((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0)) <=> ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5847,plain,
% 41.24/26.88 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5846])).
% 41.24/26.88 tff(5848,plain,
% 41.24/26.88 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5847, 5845])).
% 41.24/26.88 tff(5849,plain,
% 41.24/26.88 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5850,plain,
% 41.24/26.88 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5849, 5848])).
% 41.24/26.88 tff(5851,plain,
% 41.24/26.88 ((~v90(constB42, bitIndex0)) | (~v100(constB42))),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5850, 952, 5844])).
% 41.24/26.88 tff(5852,plain,
% 41.24/26.88 (~v90(constB42, bitIndex0)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5851, 5744])).
% 41.24/26.88 tff(5853,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5854,plain,
% 41.24/26.88 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0))) <=> (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5855,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5854])).
% 41.24/26.88 tff(5856,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5855, 5853])).
% 41.24/26.88 tff(5857,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5858,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5857, 5856])).
% 41.24/26.88 tff(5859,plain,
% 41.24/26.88 (v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0))),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5858, 465, 5772])).
% 41.24/26.88 tff(5860,plain,
% 41.24/26.88 (v90(constB42, bitIndex0) | (~v90(constB43, bitIndex0))),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5859, 5784])).
% 41.24/26.88 tff(5861,plain,
% 41.24/26.88 (~v90(constB43, bitIndex0)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5860, 5852])).
% 41.24/26.88 tff(5862,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5863,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5864,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 41.24/26.88 tff(5865,plain,
% 41.24/26.88 (v123(constB43)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5864, 979, 5861, 5827, 5793])).
% 41.24/26.88 tff(5866,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB43)) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB43)) | v130(constB43, bitIndex2))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5867,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB43)) | v130(constB43, bitIndex2))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5868,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB43)) | v130(constB43, bitIndex2)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5867, 5866])).
% 41.24/26.88 tff(5869,plain,
% 41.24/26.88 (v130(constB43, bitIndex2)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5868, 1074, 5865])).
% 41.24/26.88 tff(5870,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5871,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5872,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 41.24/26.88 tff(5873,plain,
% 41.24/26.88 (v26(constB43) | v127(constB43, bitIndex2)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5872, 607, 5869])).
% 41.24/26.88 tff(5874,plain,
% 41.24/26.88 (v127(constB43, bitIndex2)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5873, 126])).
% 41.24/26.88 tff(5875,plain,
% 41.24/26.88 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5876,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 41.24/26.88 tff(5877,plain,
% 41.24/26.88 (nextState(constB43, constB44)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 41.24/26.88 tff(5878,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5879,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5880,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5879, 5878])).
% 41.24/26.88 tff(5881,plain,
% 41.24/26.88 ((~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5880, 625, 5877])).
% 41.24/26.88 tff(5882,plain,
% 41.24/26.88 (v129(constB44, bitIndex2)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5881, 5874])).
% 41.24/26.88 tff(5883,assumption,(~v108(constB43)), introduced(assumption)).
% 41.24/26.88 tff(5884,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5885,plain,
% 41.24/26.88 (((~v112(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v112(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5886,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5885])).
% 41.24/26.88 tff(5887,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5886, 5884])).
% 41.24/26.88 tff(5888,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5889,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 41.24/26.88 tff(5890,plain,
% 41.24/26.88 (~v112(constB43)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5889, 746, 5883])).
% 41.24/26.88 tff(5891,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v26(constB43)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5892,plain,
% 41.24/26.88 (((~v26(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v26(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5893,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v26(constB43))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5892])).
% 41.24/26.88 tff(5894,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5893, 5891])).
% 41.24/26.88 tff(5895,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5896,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5895, 5894])).
% 41.24/26.88 tff(5897,plain,
% 41.24/26.88 (~v26(constB43)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5896, 1925, 5883])).
% 41.24/26.88 tff(5898,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v123(constB43)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v123(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5899,plain,
% 41.24/26.88 (((~v123(constB43)) | v115(constB43)) <=> (v115(constB43) | (~v123(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5900,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v123(constB43))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5899])).
% 41.24/26.88 tff(5901,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v123(constB43)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5900, 5898])).
% 41.24/26.88 tff(5902,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB43)) | v115(constB43))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5903,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v123(constB43))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5902, 5901])).
% 41.24/26.88 tff(5904,plain,
% 41.24/26.88 (v115(constB43)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5903, 990, 5865])).
% 41.24/26.88 tff(5905,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5906,plain,
% 41.24/26.88 (((~v115(constB43)) | v114(constB43)) <=> (v114(constB43) | (~v115(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5907,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5906])).
% 41.24/26.88 tff(5908,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5907, 5905])).
% 41.24/26.88 tff(5909,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5910,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5909, 5908])).
% 41.24/26.88 tff(5911,plain,
% 41.24/26.88 (v114(constB43)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5910, 553, 5904])).
% 41.24/26.88 tff(5912,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5913,plain,
% 41.24/26.88 (((~v114(constB43)) | v113(constB43)) <=> (v113(constB43) | (~v114(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5914,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5913])).
% 41.24/26.88 tff(5915,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5914, 5912])).
% 41.24/26.88 tff(5916,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5917,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5916, 5915])).
% 41.24/26.88 tff(5918,plain,
% 41.24/26.88 (v113(constB43)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5917, 567, 5911])).
% 41.24/26.88 tff(5919,plain,
% 41.24/26.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5920,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5921,plain,
% 41.24/26.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5920, 5919])).
% 41.24/26.88 tff(5922,plain,
% 41.24/26.88 (v26(constB43) | v112(constB43)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5921, 581, 5918])).
% 41.24/26.88 tff(5923,plain,
% 41.24/26.88 ($false),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5922, 5897, 5890])).
% 41.24/26.88 tff(5924,plain,(v108(constB43)), inference(lemma,lemma(discharge,[]))).
% 41.24/26.88 tff(5925,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5926,plain,
% 41.24/26.88 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5927,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5926])).
% 41.24/26.88 tff(5928,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5927, 5925])).
% 41.24/26.88 tff(5929,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5930,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5929, 5928])).
% 41.24/26.88 tff(5931,plain,
% 41.24/26.88 (v110(constB44) | (~v108(constB43))),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5930, 731, 5877])).
% 41.24/26.88 tff(5932,plain,
% 41.24/26.88 (v110(constB44)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5931, 5924])).
% 41.24/26.88 tff(5933,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5934,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5935,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 41.24/26.88 tff(5936,plain,
% 41.24/26.88 (~v104(constB44)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5935, 659, 5877, 5769])).
% 41.24/26.88 tff(5937,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5938,plain,
% 41.24/26.88 (((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)) <=> ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5939,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44)))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5938])).
% 41.24/26.88 tff(5940,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5939, 5937])).
% 41.24/26.88 tff(5941,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5942,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5941, 5940])).
% 41.24/26.88 tff(5943,plain,
% 41.24/26.88 (v104(constB44) | v102(constB44)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5942, 673, 5877])).
% 41.24/26.88 tff(5944,plain,
% 41.24/26.88 (v102(constB44)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5943, 5936])).
% 41.24/26.88 tff(5945,plain,
% 41.24/26.88 (v1(constB44) <=> v1(constB44)),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5946,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 41.24/26.88 tff(5947,plain,
% 41.24/26.88 (v1(constB44)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5946, 5945])).
% 41.24/26.88 tff(5948,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5949,plain,
% 41.24/26.88 (((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))) <=> ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5950,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5949])).
% 41.24/26.88 tff(5951,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5950, 5948])).
% 41.24/26.88 tff(5952,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5953,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5952, 5951])).
% 41.24/26.88 tff(5954,plain,
% 41.24/26.88 (v101(constB44) | (~v102(constB44))),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5953, 694, 5877, 5947])).
% 41.24/26.88 tff(5955,plain,
% 41.24/26.88 (v101(constB44)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5954, 5944])).
% 41.24/26.88 tff(5956,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5957,plain,
% 41.24/26.88 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5958,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5957])).
% 41.24/26.88 tff(5959,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5958, 5956])).
% 41.24/26.88 tff(5960,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5961,plain,
% 41.24/26.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 41.24/26.88 tff(5962,plain,
% 41.24/26.88 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5961, 712, 5877])).
% 41.24/26.88 tff(5963,plain,
% 41.24/26.88 (v100(constB44) | (~v110(constB44))),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5962, 5955])).
% 41.24/26.88 tff(5964,plain,
% 41.24/26.88 (v100(constB44)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5963, 5932])).
% 41.24/26.88 tff(5965,plain,
% 41.24/26.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5966,plain,
% 41.24/26.88 ((v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5967,plain,
% 41.24/26.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5966])).
% 41.24/26.88 tff(5968,plain,
% 41.24/26.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 41.24/26.88 inference(transitivity,[status(thm)],[5967, 5965])).
% 41.24/26.88 tff(5969,plain,
% 41.24/26.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))),
% 41.24/26.88 inference(quant_inst,[status(thm)],[])).
% 41.24/26.88 tff(5970,plain,
% 41.24/26.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5969, 5968])).
% 41.24/26.88 tff(5971,plain,
% 41.24/26.88 (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2))),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5970, 641, 5964])).
% 41.24/26.88 tff(5972,plain,
% 41.24/26.88 (v90(constB44, bitIndex2)),
% 41.24/26.88 inference(unit_resolution,[status(thm)],[5971, 5882])).
% 41.24/26.88 tff(5973,plain,
% 41.24/26.88 ((~v1(constB45)) <=> (~v1(constB45))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5974,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 41.24/26.88 tff(5975,plain,
% 41.24/26.88 (~v1(constB45)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5974, 5973])).
% 41.24/26.88 tff(5976,plain,
% 41.24/26.88 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5977,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 41.24/26.88 tff(5978,plain,
% 41.24/26.88 (nextState(constB44, constB45)),
% 41.24/26.88 inference(modus_ponens,[status(thm)],[5977, 5976])).
% 41.24/26.88 tff(5979,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5980,plain,
% 41.24/26.88 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 41.24/26.88 inference(rewrite,[status(thm)],[])).
% 41.24/26.88 tff(5981,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 41.24/26.88 inference(monotonicity,[status(thm)],[5980])).
% 41.24/26.88 tff(5982,plain,
% 41.24/26.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 41.24/26.89 inference(transitivity,[status(thm)],[5981, 5979])).
% 41.24/26.89 tff(5983,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(5984,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 41.24/26.89 tff(5985,plain,
% 41.24/26.89 (~v101(constB45)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[5984, 391, 5978, 5975])).
% 41.24/26.89 tff(5986,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(5987,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(5988,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 41.24/26.89 tff(5989,plain,
% 41.24/26.89 (v101(constB45) | (~v100(constB45))),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[5988, 408, 5978])).
% 41.24/26.89 tff(5990,plain,
% 41.24/26.89 (~v100(constB45)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[5989, 5985])).
% 41.24/26.89 tff(5991,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(5992,plain,
% 41.24/26.89 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(5993,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[5992])).
% 41.24/26.89 tff(5994,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 41.24/26.89 inference(transitivity,[status(thm)],[5993, 5991])).
% 41.24/26.89 tff(5995,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(5996,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[5995, 5994])).
% 41.24/26.89 tff(5997,plain,
% 41.24/26.89 ((~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[5996, 783, 5978])).
% 41.24/26.89 tff(5998,plain,
% 41.24/26.89 ((~v90(constB44, bitIndex2)) | v90(constB45, bitIndex2)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[5997, 5990])).
% 41.24/26.89 tff(5999,plain,
% 41.24/26.89 (v90(constB45, bitIndex2)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[5998, 5972])).
% 41.24/26.89 tff(6000,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB43)) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB43)) | v130(constB43, bitIndex1))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6001,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB43)) | v130(constB43, bitIndex1))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6002,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB43)) | v130(constB43, bitIndex1)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6001, 6000])).
% 41.24/26.89 tff(6003,plain,
% 41.24/26.89 (v130(constB43, bitIndex1)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6002, 1130, 5865])).
% 41.24/26.89 tff(6004,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6005,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6006,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 41.24/26.89 tff(6007,plain,
% 41.24/26.89 (v26(constB43) | v127(constB43, bitIndex1)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6006, 1144, 6003])).
% 41.24/26.89 tff(6008,plain,
% 41.24/26.89 (v127(constB43, bitIndex1)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6007, 126])).
% 41.24/26.89 tff(6009,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6010,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6011,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 41.24/26.89 tff(6012,plain,
% 41.24/26.89 ((~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6011, 1159, 5877])).
% 41.24/26.89 tff(6013,plain,
% 41.24/26.89 (v129(constB44, bitIndex1)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6012, 6008])).
% 41.24/26.89 tff(6014,plain,
% 41.24/26.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6015,plain,
% 41.24/26.89 ((v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6016,plain,
% 41.24/26.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44))))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6015])).
% 41.24/26.89 tff(6017,plain,
% 41.24/26.89 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 41.24/26.89 inference(transitivity,[status(thm)],[6016, 6014])).
% 41.24/26.89 tff(6018,plain,
% 41.24/26.89 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6019,plain,
% 41.24/26.89 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 41.24/26.89 tff(6020,plain,
% 41.24/26.89 (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1))),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6019, 1174, 5964])).
% 41.24/26.89 tff(6021,plain,
% 41.24/26.89 (v90(constB44, bitIndex1)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6020, 6013])).
% 41.24/26.89 tff(6022,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6023,plain,
% 41.24/26.89 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6024,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1)))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6023])).
% 41.24/26.89 tff(6025,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 41.24/26.89 inference(transitivity,[status(thm)],[6024, 6022])).
% 41.24/26.89 tff(6026,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6027,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 41.24/26.89 tff(6028,plain,
% 41.24/26.89 ((~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6027, 1192, 5978])).
% 41.24/26.89 tff(6029,plain,
% 41.24/26.89 ((~v90(constB44, bitIndex1)) | v90(constB45, bitIndex1)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6028, 5990])).
% 41.24/26.89 tff(6030,plain,
% 41.24/26.89 (v90(constB45, bitIndex1)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6029, 6021])).
% 41.24/26.89 tff(6031,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB43)) | (~v130(constB43, bitIndex0)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6032,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB43)) | (~v130(constB43, bitIndex0)))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6033,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB43)) | (~v130(constB43, bitIndex0))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6032, 6031])).
% 41.24/26.89 tff(6034,plain,
% 41.24/26.89 (~v130(constB43, bitIndex0)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6033, 1208, 5865])).
% 41.24/26.89 tff(6035,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6036,plain,
% 41.24/26.89 ((v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0))) <=> ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6037,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6036])).
% 41.24/26.89 tff(6038,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 41.24/26.89 inference(transitivity,[status(thm)],[6037, 6035])).
% 41.24/26.89 tff(6039,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6040,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 41.24/26.89 tff(6041,plain,
% 41.24/26.89 ((~v127(constB43, bitIndex0)) | v26(constB43)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6040, 907, 6034])).
% 41.24/26.89 tff(6042,plain,
% 41.24/26.89 (~v127(constB43, bitIndex0)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6041, 126])).
% 41.24/26.89 tff(6043,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6044,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6045,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6044, 6043])).
% 41.24/26.89 tff(6046,plain,
% 41.24/26.89 (v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6045, 937, 5877])).
% 41.24/26.89 tff(6047,plain,
% 41.24/26.89 (~v129(constB44, bitIndex0)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6046, 6042])).
% 41.24/26.89 tff(6048,plain,
% 41.24/26.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6049,plain,
% 41.24/26.89 (((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0)) <=> ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6050,plain,
% 41.24/26.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6049])).
% 41.24/26.89 tff(6051,plain,
% 41.24/26.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 41.24/26.89 inference(transitivity,[status(thm)],[6050, 6048])).
% 41.24/26.89 tff(6052,plain,
% 41.24/26.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6053,plain,
% 41.24/26.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6052, 6051])).
% 41.24/26.89 tff(6054,plain,
% 41.24/26.89 ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6053, 952, 5964])).
% 41.24/26.89 tff(6055,plain,
% 41.24/26.89 (~v90(constB44, bitIndex0)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6054, 6047])).
% 41.24/26.89 tff(6056,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6057,plain,
% 41.24/26.89 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))) <=> (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6058,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6057])).
% 41.24/26.89 tff(6059,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 41.24/26.89 inference(transitivity,[status(thm)],[6058, 6056])).
% 41.24/26.89 tff(6060,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6061,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6060, 6059])).
% 41.24/26.89 tff(6062,plain,
% 41.24/26.89 (v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6061, 465, 5978])).
% 41.24/26.89 tff(6063,plain,
% 41.24/26.89 (v90(constB44, bitIndex0) | (~v90(constB45, bitIndex0))),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6062, 5990])).
% 41.24/26.89 tff(6064,plain,
% 41.24/26.89 (~v90(constB45, bitIndex0)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6063, 6055])).
% 41.24/26.89 tff(6065,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6066,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6067,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6066, 6065])).
% 41.24/26.89 tff(6068,plain,
% 41.24/26.89 (v125(constB45)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6067, 1252, 6064, 6030, 5999])).
% 41.24/26.89 tff(6069,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB45)) | v113(constB45))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6070,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB45)) | v113(constB45))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6071,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB45)) | v113(constB45)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6070, 6069])).
% 41.24/26.89 tff(6072,plain,
% 41.24/26.89 (v113(constB45)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6071, 1263, 6068])).
% 41.24/26.89 tff(6073,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6074,plain,
% 41.24/26.89 ((v26(constB45) | (~v113(constB45)) | v112(constB45)) <=> (v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6075,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45))))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6074])).
% 41.24/26.89 tff(6076,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 41.24/26.89 inference(transitivity,[status(thm)],[6075, 6073])).
% 41.24/26.89 tff(6077,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6078,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6077, 6076])).
% 41.24/26.89 tff(6079,plain,
% 41.24/26.89 (v26(constB45) | v112(constB45)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6078, 581, 6072])).
% 41.24/26.89 tff(6080,plain,
% 41.24/26.89 (v112(constB45)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6079, 122])).
% 41.24/26.89 tff(6081,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6082,plain,
% 41.24/26.89 (((~v112(constB45)) | v108(constB45)) <=> (v108(constB45) | (~v112(constB45)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6083,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45))))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6082])).
% 41.24/26.89 tff(6084,plain,
% 41.24/26.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 41.24/26.89 inference(transitivity,[status(thm)],[6083, 6081])).
% 41.24/26.89 tff(6085,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6086,plain,
% 41.24/26.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 41.24/26.89 tff(6087,plain,
% 41.24/26.89 (v108(constB45)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6086, 746, 6080])).
% 41.24/26.89 tff(6088,plain,
% 41.24/26.89 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6089,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 41.24/26.89 tff(6090,plain,
% 41.24/26.89 (nextState(constB45, constB46)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6089, 6088])).
% 41.24/26.89 tff(6091,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6092,plain,
% 41.24/26.89 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6093,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6092])).
% 41.24/26.89 tff(6094,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 41.24/26.89 inference(transitivity,[status(thm)],[6093, 6091])).
% 41.24/26.89 tff(6095,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6096,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6095, 6094])).
% 41.24/26.89 tff(6097,plain,
% 41.24/26.89 (v110(constB46) | (~v108(constB45))),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6096, 731, 6090])).
% 41.24/26.89 tff(6098,plain,
% 41.24/26.89 (v110(constB46)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6097, 6087])).
% 41.24/26.89 tff(6099,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6100,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6101,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6100, 6099])).
% 41.24/26.89 tff(6102,plain,
% 41.24/26.89 (~v104(constB46)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6101, 659, 6090, 5975])).
% 41.24/26.89 tff(6103,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6104,plain,
% 41.24/26.89 (((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)) <=> ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6105,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46)))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6104])).
% 41.24/26.89 tff(6106,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 41.24/26.89 inference(transitivity,[status(thm)],[6105, 6103])).
% 41.24/26.89 tff(6107,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 41.24/26.89 inference(quant_inst,[status(thm)],[])).
% 41.24/26.89 tff(6108,plain,
% 41.24/26.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46)),
% 41.24/26.89 inference(modus_ponens,[status(thm)],[6107, 6106])).
% 41.24/26.89 tff(6109,plain,
% 41.24/26.89 (v104(constB46) | v102(constB46)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6108, 673, 6090])).
% 41.24/26.89 tff(6110,plain,
% 41.24/26.89 (v102(constB46)),
% 41.24/26.89 inference(unit_resolution,[status(thm)],[6109, 6102])).
% 41.24/26.89 tff(6111,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6112,plain,
% 41.24/26.89 (((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))) <=> ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 41.24/26.89 inference(rewrite,[status(thm)],[])).
% 41.24/26.89 tff(6113,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46))))),
% 41.24/26.89 inference(monotonicity,[status(thm)],[6112])).
% 41.24/26.89 tff(6114,plain,
% 41.24/26.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 41.24/26.90 inference(transitivity,[status(thm)],[6113, 6111])).
% 41.24/26.90 tff(6115,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6116,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 41.24/26.90 tff(6117,plain,
% 41.24/26.90 (v101(constB46) | (~v102(constB46))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6116, 694, 6090, 67])).
% 41.24/26.90 tff(6118,plain,
% 41.24/26.90 (v101(constB46)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6117, 6110])).
% 41.24/26.90 tff(6119,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6120,plain,
% 41.24/26.90 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6121,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 41.24/26.90 inference(monotonicity,[status(thm)],[6120])).
% 41.24/26.90 tff(6122,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 41.24/26.90 inference(transitivity,[status(thm)],[6121, 6119])).
% 41.24/26.90 tff(6123,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6124,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6123, 6122])).
% 41.24/26.90 tff(6125,plain,
% 41.24/26.90 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6124, 712, 6090])).
% 41.24/26.90 tff(6126,plain,
% 41.24/26.90 (v100(constB46) | (~v110(constB46))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6125, 6118])).
% 41.24/26.90 tff(6127,plain,
% 41.24/26.90 (v100(constB46)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6126, 6098])).
% 41.24/26.90 tff(6128,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v90(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v90(constB45, bitIndex2)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6129,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB45)) | (~v90(constB45, bitIndex2)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6130,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB45)) | (~v90(constB45, bitIndex2))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6129, 6128])).
% 41.24/26.90 tff(6131,plain,
% 41.24/26.90 (~v121(constB45)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6130, 1336, 5999])).
% 41.24/26.90 tff(6132,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB45)) | (~v90(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB45)) | (~v90(constB45, bitIndex2)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6133,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB45)) | (~v90(constB45, bitIndex2)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6134,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB45)) | (~v90(constB45, bitIndex2))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6133, 6132])).
% 41.24/26.90 tff(6135,plain,
% 41.24/26.90 (~v122(constB45)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6134, 1347, 5999])).
% 41.24/26.90 tff(6136,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v90(constB45, bitIndex1)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6137,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v90(constB45, bitIndex1)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6138,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v90(constB45, bitIndex1))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6137, 6136])).
% 41.24/26.90 tff(6139,plain,
% 41.24/26.90 (~v119(constB45)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6138, 1380, 6030])).
% 41.24/26.90 tff(6140,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB45)) | (~v90(constB45, bitIndex1)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6141,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB45)) | (~v90(constB45, bitIndex1)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6142,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB45)) | (~v90(constB45, bitIndex1))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6141, 6140])).
% 41.24/26.90 tff(6143,plain,
% 41.24/26.90 (~v120(constB45)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6142, 1391, 6030])).
% 41.24/26.90 tff(6144,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v90(constB45, bitIndex1)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6145,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v90(constB45, bitIndex1)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6146,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v90(constB45, bitIndex1))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6145, 6144])).
% 41.24/26.90 tff(6147,plain,
% 41.24/26.90 (~v123(constB45)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6146, 1358, 6030])).
% 41.24/26.90 tff(6148,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB45)) | (~v90(constB45, bitIndex1)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6149,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB45)) | (~v90(constB45, bitIndex1)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6150,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB45)) | (~v90(constB45, bitIndex1))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 41.24/26.90 tff(6151,plain,
% 41.24/26.90 (~v124(constB45)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6150, 1369, 6030])).
% 41.24/26.90 tff(6152,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6153,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6154,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6153, 6152])).
% 41.24/26.90 tff(6155,plain,
% 41.24/26.90 (~v130(constB45, bitIndex2)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6154, 1405, 6151, 6147, 6143, 6139, 6135, 6131])).
% 41.24/26.90 tff(6156,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6157,plain,
% 41.24/26.90 ((v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2))) <=> ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6158,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)))),
% 41.24/26.90 inference(monotonicity,[status(thm)],[6157])).
% 41.24/26.90 tff(6159,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 41.24/26.90 inference(transitivity,[status(thm)],[6158, 6156])).
% 41.24/26.90 tff(6160,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6161,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 41.24/26.90 tff(6162,plain,
% 41.24/26.90 ((~v127(constB45, bitIndex2)) | v26(constB45)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6161, 1419, 6155])).
% 41.24/26.90 tff(6163,plain,
% 41.24/26.90 (~v127(constB45, bitIndex2)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6162, 122])).
% 41.24/26.90 tff(6164,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6165,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6166,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6165, 6164])).
% 41.24/26.90 tff(6167,plain,
% 41.24/26.90 (v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6166, 1437, 6090])).
% 41.24/26.90 tff(6168,plain,
% 41.24/26.90 (~v129(constB46, bitIndex2)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6167, 6163])).
% 41.24/26.90 tff(6169,plain,
% 41.24/26.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6170,plain,
% 41.24/26.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6171,plain,
% 41.24/26.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6170, 6169])).
% 41.24/26.90 tff(6172,plain,
% 41.24/26.90 ((~v90(constB46, bitIndex2)) | (~v100(constB46))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6171, 1452, 6168])).
% 41.24/26.90 tff(6173,plain,
% 41.24/26.90 (~v90(constB46, bitIndex2)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6172, 6127])).
% 41.24/26.90 tff(6174,plain,
% 41.24/26.90 ((~v1(constB47)) <=> (~v1(constB47))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6175,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 41.24/26.90 tff(6176,plain,
% 41.24/26.90 (~v1(constB47)),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6175, 6174])).
% 41.24/26.90 tff(6177,plain,
% 41.24/26.90 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6178,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 41.24/26.90 tff(6179,plain,
% 41.24/26.90 (nextState(constB46, constB47)),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6178, 6177])).
% 41.24/26.90 tff(6180,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6181,plain,
% 41.24/26.90 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6182,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 41.24/26.90 inference(monotonicity,[status(thm)],[6181])).
% 41.24/26.90 tff(6183,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 41.24/26.90 inference(transitivity,[status(thm)],[6182, 6180])).
% 41.24/26.90 tff(6184,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6185,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6184, 6183])).
% 41.24/26.90 tff(6186,plain,
% 41.24/26.90 (~v101(constB47)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6185, 391, 6179, 6176])).
% 41.24/26.90 tff(6187,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6188,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6189,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 41.24/26.90 tff(6190,plain,
% 41.24/26.90 (v101(constB47) | (~v100(constB47))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6189, 408, 6179])).
% 41.24/26.90 tff(6191,plain,
% 41.24/26.90 (~v100(constB47)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6190, 6186])).
% 41.24/26.90 tff(6192,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6193,plain,
% 41.24/26.90 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6194,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2))))),
% 41.24/26.90 inference(monotonicity,[status(thm)],[6193])).
% 41.24/26.90 tff(6195,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 41.24/26.90 inference(transitivity,[status(thm)],[6194, 6192])).
% 41.24/26.90 tff(6196,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6197,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6196, 6195])).
% 41.24/26.90 tff(6198,plain,
% 41.24/26.90 (v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6197, 423, 6179])).
% 41.24/26.90 tff(6199,plain,
% 41.24/26.90 (v90(constB46, bitIndex2) | (~v90(constB47, bitIndex2))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6198, 6191])).
% 41.24/26.90 tff(6200,plain,
% 41.24/26.90 (~v90(constB47, bitIndex2)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6199, 6173])).
% 41.24/26.90 tff(6201,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6202,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6203,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 41.24/26.90 tff(6204,plain,
% 41.24/26.90 (~v130(constB45, bitIndex1)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6203, 1494, 6151, 6147, 6143, 6139, 6135, 6131])).
% 41.24/26.90 tff(6205,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6206,plain,
% 41.24/26.90 ((v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1))) <=> ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6207,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)))),
% 41.24/26.90 inference(monotonicity,[status(thm)],[6206])).
% 41.24/26.90 tff(6208,plain,
% 41.24/26.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 41.24/26.90 inference(transitivity,[status(thm)],[6207, 6205])).
% 41.24/26.90 tff(6209,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6210,plain,
% 41.24/26.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6209, 6208])).
% 41.24/26.90 tff(6211,plain,
% 41.24/26.90 ((~v127(constB45, bitIndex1)) | v26(constB45)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6210, 823, 6204])).
% 41.24/26.90 tff(6212,plain,
% 41.24/26.90 (~v127(constB45, bitIndex1)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6211, 122])).
% 41.24/26.90 tff(6213,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6214,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6215,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 41.24/26.90 tff(6216,plain,
% 41.24/26.90 (v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6215, 853, 6090])).
% 41.24/26.90 tff(6217,plain,
% 41.24/26.90 (~v129(constB46, bitIndex1)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6216, 6212])).
% 41.24/26.90 tff(6218,plain,
% 41.24/26.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6219,plain,
% 41.24/26.90 (((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6220,plain,
% 41.24/26.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))))),
% 41.24/26.90 inference(monotonicity,[status(thm)],[6219])).
% 41.24/26.90 tff(6221,plain,
% 41.24/26.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 41.24/26.90 inference(transitivity,[status(thm)],[6220, 6218])).
% 41.24/26.90 tff(6222,plain,
% 41.24/26.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6223,plain,
% 41.24/26.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))),
% 41.24/26.90 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 41.24/26.90 tff(6224,plain,
% 41.24/26.90 ((~v90(constB46, bitIndex1)) | (~v100(constB46))),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6223, 868, 6217])).
% 41.24/26.90 tff(6225,plain,
% 41.24/26.90 (~v90(constB46, bitIndex1)),
% 41.24/26.90 inference(unit_resolution,[status(thm)],[6224, 6127])).
% 41.24/26.90 tff(6226,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6227,plain,
% 41.24/26.90 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 41.24/26.90 inference(rewrite,[status(thm)],[])).
% 41.24/26.90 tff(6228,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))))),
% 41.24/26.90 inference(monotonicity,[status(thm)],[6227])).
% 41.24/26.90 tff(6229,plain,
% 41.24/26.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 41.24/26.90 inference(transitivity,[status(thm)],[6228, 6226])).
% 41.24/26.90 tff(6230,plain,
% 41.24/26.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 41.24/26.90 inference(quant_inst,[status(thm)],[])).
% 41.24/26.90 tff(6231,plain,
% 41.24/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6230, 6229])).
% 41.24/26.91 tff(6232,plain,
% 41.24/26.91 (v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6231, 444, 6179])).
% 41.24/26.91 tff(6233,plain,
% 41.24/26.91 (v90(constB46, bitIndex1) | (~v90(constB47, bitIndex1))),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6232, 6191])).
% 41.24/26.91 tff(6234,plain,
% 41.24/26.91 (~v90(constB47, bitIndex1)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6233, 6225])).
% 41.24/26.91 tff(6235,plain,
% 41.24/26.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6236,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))),
% 41.24/26.91 inference(quant_inst,[status(thm)],[])).
% 41.24/26.91 tff(6237,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0)),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 41.24/26.91 tff(6238,plain,
% 41.24/26.91 (v130(constB45, bitIndex0)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6237, 1538, 6151, 6147, 6143, 6139, 6135, 6131])).
% 41.24/26.91 tff(6239,plain,
% 41.24/26.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6240,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 41.24/26.91 inference(quant_inst,[status(thm)],[])).
% 41.24/26.91 tff(6241,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6240, 6239])).
% 41.24/26.91 tff(6242,plain,
% 41.24/26.91 (v26(constB45) | v127(constB45, bitIndex0)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6241, 1552, 6238])).
% 41.24/26.91 tff(6243,plain,
% 41.24/26.91 (v127(constB45, bitIndex0)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6242, 122])).
% 41.24/26.91 tff(6244,plain,
% 41.24/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6245,plain,
% 41.24/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 41.24/26.91 inference(quant_inst,[status(thm)],[])).
% 41.24/26.91 tff(6246,plain,
% 41.24/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 41.24/26.91 tff(6247,plain,
% 41.24/26.91 ((~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6246, 1567, 6090])).
% 41.24/26.91 tff(6248,plain,
% 41.24/26.91 (v129(constB46, bitIndex0)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6247, 6243])).
% 41.24/26.91 tff(6249,plain,
% 41.24/26.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6250,plain,
% 41.24/26.91 ((v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6251,plain,
% 41.24/26.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))))),
% 41.24/26.91 inference(monotonicity,[status(thm)],[6250])).
% 41.24/26.91 tff(6252,plain,
% 41.24/26.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 41.24/26.91 inference(transitivity,[status(thm)],[6251, 6249])).
% 41.24/26.91 tff(6253,plain,
% 41.24/26.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))),
% 41.24/26.91 inference(quant_inst,[status(thm)],[])).
% 41.24/26.91 tff(6254,plain,
% 41.24/26.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 41.24/26.91 tff(6255,plain,
% 41.24/26.91 (v90(constB46, bitIndex0) | (~v100(constB46))),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6254, 1582, 6248])).
% 41.24/26.91 tff(6256,plain,
% 41.24/26.91 (v90(constB46, bitIndex0)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6255, 6127])).
% 41.24/26.91 tff(6257,plain,
% 41.24/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6258,plain,
% 41.24/26.91 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6259,plain,
% 41.24/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)))),
% 41.24/26.91 inference(monotonicity,[status(thm)],[6258])).
% 41.24/26.91 tff(6260,plain,
% 41.24/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 41.24/26.91 inference(transitivity,[status(thm)],[6259, 6257])).
% 41.24/26.91 tff(6261,plain,
% 41.24/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))),
% 41.24/26.91 inference(quant_inst,[status(thm)],[])).
% 41.24/26.91 tff(6262,plain,
% 41.24/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6261, 6260])).
% 41.24/26.91 tff(6263,plain,
% 41.24/26.91 ((~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6262, 1600, 6179])).
% 41.24/26.91 tff(6264,plain,
% 41.24/26.91 ((~v90(constB46, bitIndex0)) | v90(constB47, bitIndex0)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6263, 6191])).
% 41.24/26.91 tff(6265,plain,
% 41.24/26.91 (v90(constB47, bitIndex0)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6264, 6256])).
% 41.24/26.91 tff(6266,plain,
% 41.24/26.91 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6267,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 41.24/26.91 inference(quant_inst,[status(thm)],[])).
% 41.24/26.91 tff(6268,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47)),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6267, 6266])).
% 41.24/26.91 tff(6269,plain,
% 41.24/26.91 (v120(constB47)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6268, 1619, 6265, 6234, 6200])).
% 41.24/26.91 tff(6270,plain,
% 41.24/26.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB47)) | (~v130(constB47, bitIndex2)))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6271,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex2)))),
% 41.24/26.91 inference(quant_inst,[status(thm)],[])).
% 41.24/26.91 tff(6272,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB47)) | (~v130(constB47, bitIndex2))),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6271, 6270])).
% 41.24/26.91 tff(6273,plain,
% 41.24/26.91 (~v130(constB47, bitIndex2)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6272, 1732, 6269])).
% 41.24/26.91 tff(6274,plain,
% 41.24/26.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6275,plain,
% 41.24/26.91 ((v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2))) <=> ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6276,plain,
% 41.24/26.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2)))),
% 41.24/26.91 inference(monotonicity,[status(thm)],[6275])).
% 41.24/26.91 tff(6277,plain,
% 41.24/26.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 41.24/26.91 inference(transitivity,[status(thm)],[6276, 6274])).
% 41.24/26.91 tff(6278,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))),
% 41.24/26.91 inference(quant_inst,[status(thm)],[])).
% 41.24/26.91 tff(6279,plain,
% 41.24/26.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2)),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6278, 6277])).
% 41.24/26.91 tff(6280,plain,
% 41.24/26.91 ((~v127(constB47, bitIndex2)) | v26(constB47)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6279, 1419, 6273])).
% 41.24/26.91 tff(6281,plain,
% 41.24/26.91 (~v127(constB47, bitIndex2)),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6280, 118])).
% 41.24/26.91 tff(6282,plain,
% 41.24/26.91 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6283,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 41.24/26.91 tff(6284,plain,
% 41.24/26.91 (nextState(constB47, constB48)),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6283, 6282])).
% 41.24/26.91 tff(6285,plain,
% 41.24/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))),
% 41.24/26.91 inference(rewrite,[status(thm)],[])).
% 41.24/26.91 tff(6286,plain,
% 41.24/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))),
% 41.24/26.91 inference(quant_inst,[status(thm)],[])).
% 41.24/26.91 tff(6287,plain,
% 41.24/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2))),
% 41.24/26.91 inference(modus_ponens,[status(thm)],[6286, 6285])).
% 41.24/26.91 tff(6288,plain,
% 41.24/26.91 (v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2))),
% 41.24/26.91 inference(unit_resolution,[status(thm)],[6287, 1437, 6284])).
% 41.24/26.91 tff(6289,plain,
% 41.24/26.91 (~v129(constB48, bitIndex2)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6288, 6281])).
% 41.32/26.91 tff(6290,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB47)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB47)) | v118(constB47))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6291,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB47)) | v118(constB47))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6292,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB47)) | v118(constB47)),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6291, 6290])).
% 41.32/26.91 tff(6293,plain,
% 41.32/26.91 (v118(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6292, 1630, 6269])).
% 41.32/26.91 tff(6294,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB47) | (~v118(constB47)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB47) | (~v118(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6295,plain,
% 41.32/26.91 (((~v118(constB47)) | v117(constB47)) <=> (v117(constB47) | (~v118(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6296,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB47)) | v117(constB47))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB47) | (~v118(constB47))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6295])).
% 41.32/26.91 tff(6297,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB47)) | v117(constB47))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB47) | (~v118(constB47)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6296, 6294])).
% 41.32/26.91 tff(6298,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB47)) | v117(constB47))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6299,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB47) | (~v118(constB47))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6298, 6297])).
% 41.32/26.91 tff(6300,plain,
% 41.32/26.91 (v117(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6299, 511, 6293])).
% 41.32/26.91 tff(6301,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB47) | (~v117(constB47)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB47) | (~v117(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6302,plain,
% 41.32/26.91 (((~v117(constB47)) | v116(constB47)) <=> (v116(constB47) | (~v117(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6303,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB47)) | v116(constB47))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB47) | (~v117(constB47))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6302])).
% 41.32/26.91 tff(6304,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB47)) | v116(constB47))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB47) | (~v117(constB47)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6303, 6301])).
% 41.32/26.91 tff(6305,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB47)) | v116(constB47))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6306,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB47) | (~v117(constB47))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 41.32/26.91 tff(6307,plain,
% 41.32/26.91 (v116(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6306, 525, 6300])).
% 41.32/26.91 tff(6308,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB47) | (~v116(constB47)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB47) | (~v116(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6309,plain,
% 41.32/26.91 (((~v116(constB47)) | v115(constB47)) <=> (v115(constB47) | (~v116(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6310,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB47)) | v115(constB47))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB47) | (~v116(constB47))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6309])).
% 41.32/26.91 tff(6311,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB47)) | v115(constB47))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB47) | (~v116(constB47)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6310, 6308])).
% 41.32/26.91 tff(6312,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB47)) | v115(constB47))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6313,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB47) | (~v116(constB47))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 41.32/26.91 tff(6314,plain,
% 41.32/26.91 (v115(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6313, 539, 6307])).
% 41.32/26.91 tff(6315,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v115(constB47)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v115(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6316,plain,
% 41.32/26.91 (((~v115(constB47)) | v114(constB47)) <=> (v114(constB47) | (~v115(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6317,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v115(constB47))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6316])).
% 41.32/26.91 tff(6318,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v115(constB47)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6317, 6315])).
% 41.32/26.91 tff(6319,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB47)) | v114(constB47))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6320,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v115(constB47))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 41.32/26.91 tff(6321,plain,
% 41.32/26.91 (v114(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6320, 553, 6314])).
% 41.32/26.91 tff(6322,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB47)) | v113(constB47))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6323,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6324,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB47)) | v113(constB47)),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6323, 6322])).
% 41.32/26.91 tff(6325,plain,
% 41.32/26.91 (v113(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6324, 567, 6321])).
% 41.32/26.91 tff(6326,assumption,(~v108(constB47)), introduced(assumption)).
% 41.32/26.91 tff(6327,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6328,plain,
% 41.32/26.91 (((~v112(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v112(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6329,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6328])).
% 41.32/26.91 tff(6330,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6329, 6327])).
% 41.32/26.91 tff(6331,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6332,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6331, 6330])).
% 41.32/26.91 tff(6333,plain,
% 41.32/26.91 (~v112(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6332, 746, 6326])).
% 41.32/26.91 tff(6334,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6335,plain,
% 41.32/26.91 (((~v26(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v26(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6336,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6335])).
% 41.32/26.91 tff(6337,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6336, 6334])).
% 41.32/26.91 tff(6338,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6339,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6338, 6337])).
% 41.32/26.91 tff(6340,plain,
% 41.32/26.91 (~v26(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6339, 1925, 6326])).
% 41.32/26.91 tff(6341,assumption,(v113(constB47)), introduced(assumption)).
% 41.32/26.91 tff(6342,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6343,plain,
% 41.32/26.91 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6344,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6343])).
% 41.32/26.91 tff(6345,plain,
% 41.32/26.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6344, 6342])).
% 41.32/26.91 tff(6346,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6347,plain,
% 41.32/26.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6346, 6345])).
% 41.32/26.91 tff(6348,plain,
% 41.32/26.91 (v26(constB47) | v112(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6347, 581, 6341])).
% 41.32/26.91 tff(6349,plain,
% 41.32/26.91 ($false),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6348, 6340, 6333])).
% 41.32/26.91 tff(6350,plain,(v108(constB47) | (~v113(constB47))), inference(lemma,lemma(discharge,[]))).
% 41.32/26.91 tff(6351,plain,
% 41.32/26.91 (v108(constB47)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6350, 6325])).
% 41.32/26.91 tff(6352,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6353,plain,
% 41.32/26.91 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6354,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6353])).
% 41.32/26.91 tff(6355,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6354, 6352])).
% 41.32/26.91 tff(6356,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6357,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 41.32/26.91 tff(6358,plain,
% 41.32/26.91 (v110(constB48) | (~v108(constB47))),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6357, 731, 6284])).
% 41.32/26.91 tff(6359,plain,
% 41.32/26.91 (v110(constB48)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6358, 6351])).
% 41.32/26.91 tff(6360,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6361,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6362,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6361, 6360])).
% 41.32/26.91 tff(6363,plain,
% 41.32/26.91 (~v104(constB48)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6362, 659, 6284, 6176])).
% 41.32/26.91 tff(6364,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6365,plain,
% 41.32/26.91 (((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)) <=> ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6366,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48)))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6365])).
% 41.32/26.91 tff(6367,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6366, 6364])).
% 41.32/26.91 tff(6368,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6369,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48)),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6368, 6367])).
% 41.32/26.91 tff(6370,plain,
% 41.32/26.91 (v104(constB48) | v102(constB48)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6369, 673, 6284])).
% 41.32/26.91 tff(6371,plain,
% 41.32/26.91 (v102(constB48)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6370, 6363])).
% 41.32/26.91 tff(6372,plain,
% 41.32/26.91 (v1(constB48) <=> v1(constB48)),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6373,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 41.32/26.91 tff(6374,plain,
% 41.32/26.91 (v1(constB48)),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6373, 6372])).
% 41.32/26.91 tff(6375,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6376,plain,
% 41.32/26.91 (((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))) <=> ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6377,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6376])).
% 41.32/26.91 tff(6378,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6377, 6375])).
% 41.32/26.91 tff(6379,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6380,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 41.32/26.91 tff(6381,plain,
% 41.32/26.91 (v101(constB48) | (~v102(constB48))),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6380, 694, 6284, 6374])).
% 41.32/26.91 tff(6382,plain,
% 41.32/26.91 (v101(constB48)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6381, 6371])).
% 41.32/26.91 tff(6383,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6384,plain,
% 41.32/26.91 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6385,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 41.32/26.91 inference(monotonicity,[status(thm)],[6384])).
% 41.32/26.91 tff(6386,plain,
% 41.32/26.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 41.32/26.91 inference(transitivity,[status(thm)],[6385, 6383])).
% 41.32/26.91 tff(6387,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6388,plain,
% 41.32/26.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 41.32/26.91 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 41.32/26.91 tff(6389,plain,
% 41.32/26.91 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6388, 712, 6284])).
% 41.32/26.91 tff(6390,plain,
% 41.32/26.91 (v100(constB48) | (~v110(constB48))),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6389, 6382])).
% 41.32/26.91 tff(6391,plain,
% 41.32/26.91 (v100(constB48)),
% 41.32/26.91 inference(unit_resolution,[status(thm)],[6390, 6359])).
% 41.32/26.91 tff(6392,plain,
% 41.32/26.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))),
% 41.32/26.91 inference(rewrite,[status(thm)],[])).
% 41.32/26.91 tff(6393,plain,
% 41.32/26.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))),
% 41.32/26.91 inference(quant_inst,[status(thm)],[])).
% 41.32/26.91 tff(6394,plain,
% 41.32/26.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6393, 6392])).
% 41.32/26.92 tff(6395,plain,
% 41.32/26.92 ((~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6394, 1452, 6391])).
% 41.32/26.92 tff(6396,plain,
% 41.32/26.92 (~v90(constB48, bitIndex2)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6395, 6289])).
% 41.32/26.92 tff(6397,plain,
% 41.32/26.92 ((~v1(constB49)) <=> (~v1(constB49))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6398,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 41.32/26.92 tff(6399,plain,
% 41.32/26.92 (~v1(constB49)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6398, 6397])).
% 41.32/26.92 tff(6400,plain,
% 41.32/26.92 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6401,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 41.32/26.92 tff(6402,plain,
% 41.32/26.92 (nextState(constB48, constB49)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6401, 6400])).
% 41.32/26.92 tff(6403,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6404,plain,
% 41.32/26.92 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6405,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 41.32/26.92 inference(monotonicity,[status(thm)],[6404])).
% 41.32/26.92 tff(6406,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 41.32/26.92 inference(transitivity,[status(thm)],[6405, 6403])).
% 41.32/26.92 tff(6407,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6408,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6407, 6406])).
% 41.32/26.92 tff(6409,plain,
% 41.32/26.92 (~v101(constB49)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6408, 391, 6402, 6399])).
% 41.32/26.92 tff(6410,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6411,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6412,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6411, 6410])).
% 41.32/26.92 tff(6413,plain,
% 41.32/26.92 (v101(constB49) | (~v100(constB49))),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6412, 408, 6402])).
% 41.32/26.92 tff(6414,plain,
% 41.32/26.92 (~v100(constB49)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6413, 6409])).
% 41.32/26.92 tff(6415,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6416,plain,
% 41.32/26.92 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6417,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2))))),
% 41.32/26.92 inference(monotonicity,[status(thm)],[6416])).
% 41.32/26.92 tff(6418,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 41.32/26.92 inference(transitivity,[status(thm)],[6417, 6415])).
% 41.32/26.92 tff(6419,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6420,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 41.32/26.92 tff(6421,plain,
% 41.32/26.92 (v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2))),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6420, 423, 6402])).
% 41.32/26.92 tff(6422,plain,
% 41.32/26.92 (v90(constB48, bitIndex2) | (~v90(constB49, bitIndex2))),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6421, 6414])).
% 41.32/26.92 tff(6423,plain,
% 41.32/26.92 (~v90(constB49, bitIndex2)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6422, 6396])).
% 41.32/26.92 tff(6424,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB47)) | v130(constB47, bitIndex1))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6425,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB47)) | v130(constB47, bitIndex1))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6426,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB47)) | v130(constB47, bitIndex1)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 41.32/26.92 tff(6427,plain,
% 41.32/26.92 (v130(constB47, bitIndex1)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6426, 1788, 6269])).
% 41.32/26.92 tff(6428,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6429,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6430,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 41.32/26.92 tff(6431,plain,
% 41.32/26.92 (v26(constB47) | v127(constB47, bitIndex1)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6430, 1144, 6427])).
% 41.32/26.92 tff(6432,plain,
% 41.32/26.92 (v127(constB47, bitIndex1)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6431, 118])).
% 41.32/26.92 tff(6433,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6434,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6435,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6434, 6433])).
% 41.32/26.92 tff(6436,plain,
% 41.32/26.92 ((~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6435, 1159, 6284])).
% 41.32/26.92 tff(6437,plain,
% 41.32/26.92 (v129(constB48, bitIndex1)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6436, 6432])).
% 41.32/26.92 tff(6438,plain,
% 41.32/26.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6439,plain,
% 41.32/26.92 ((v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6440,plain,
% 41.32/26.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))))),
% 41.32/26.92 inference(monotonicity,[status(thm)],[6439])).
% 41.32/26.92 tff(6441,plain,
% 41.32/26.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 41.32/26.92 inference(transitivity,[status(thm)],[6440, 6438])).
% 41.32/26.92 tff(6442,plain,
% 41.32/26.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6443,plain,
% 41.32/26.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6442, 6441])).
% 41.32/26.92 tff(6444,plain,
% 41.32/26.92 (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1))),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6443, 1174, 6391])).
% 41.32/26.92 tff(6445,plain,
% 41.32/26.92 (v90(constB48, bitIndex1)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6444, 6437])).
% 41.32/26.92 tff(6446,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6447,plain,
% 41.32/26.92 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6448,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)))),
% 41.32/26.92 inference(monotonicity,[status(thm)],[6447])).
% 41.32/26.92 tff(6449,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 41.32/26.92 inference(transitivity,[status(thm)],[6448, 6446])).
% 41.32/26.92 tff(6450,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6451,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6450, 6449])).
% 41.32/26.92 tff(6452,plain,
% 41.32/26.92 ((~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6451, 1192, 6402])).
% 41.32/26.92 tff(6453,plain,
% 41.32/26.92 ((~v90(constB48, bitIndex1)) | v90(constB49, bitIndex1)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6452, 6414])).
% 41.32/26.92 tff(6454,plain,
% 41.32/26.92 (v90(constB49, bitIndex1)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6453, 6445])).
% 41.32/26.92 tff(6455,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB47)) | (~v130(constB47, bitIndex0)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6456,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex0)))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6457,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB47)) | (~v130(constB47, bitIndex0))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 41.32/26.92 tff(6458,plain,
% 41.32/26.92 (~v130(constB47, bitIndex0)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6457, 1826, 6269])).
% 41.32/26.92 tff(6459,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6460,plain,
% 41.32/26.92 ((v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0))) <=> ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6461,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)))),
% 41.32/26.92 inference(monotonicity,[status(thm)],[6460])).
% 41.32/26.92 tff(6462,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 41.32/26.92 inference(transitivity,[status(thm)],[6461, 6459])).
% 41.32/26.92 tff(6463,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6464,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 41.32/26.92 tff(6465,plain,
% 41.32/26.92 ((~v127(constB47, bitIndex0)) | v26(constB47)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6464, 907, 6458])).
% 41.32/26.92 tff(6466,plain,
% 41.32/26.92 (~v127(constB47, bitIndex0)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6465, 118])).
% 41.32/26.92 tff(6467,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6468,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6469,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6468, 6467])).
% 41.32/26.92 tff(6470,plain,
% 41.32/26.92 (v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6469, 937, 6284])).
% 41.32/26.92 tff(6471,plain,
% 41.32/26.92 (~v129(constB48, bitIndex0)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6470, 6466])).
% 41.32/26.92 tff(6472,plain,
% 41.32/26.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6473,plain,
% 41.32/26.92 (((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0)) <=> ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6474,plain,
% 41.32/26.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))))),
% 41.32/26.92 inference(monotonicity,[status(thm)],[6473])).
% 41.32/26.92 tff(6475,plain,
% 41.32/26.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 41.32/26.92 inference(transitivity,[status(thm)],[6474, 6472])).
% 41.32/26.92 tff(6476,plain,
% 41.32/26.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6477,plain,
% 41.32/26.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6476, 6475])).
% 41.32/26.92 tff(6478,plain,
% 41.32/26.92 ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6477, 952, 6391])).
% 41.32/26.92 tff(6479,plain,
% 41.32/26.92 (~v90(constB48, bitIndex0)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6478, 6471])).
% 41.32/26.92 tff(6480,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6481,plain,
% 41.32/26.92 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6482,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))))),
% 41.32/26.92 inference(monotonicity,[status(thm)],[6481])).
% 41.32/26.92 tff(6483,plain,
% 41.32/26.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 41.32/26.92 inference(transitivity,[status(thm)],[6482, 6480])).
% 41.32/26.92 tff(6484,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6485,plain,
% 41.32/26.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6484, 6483])).
% 41.32/26.92 tff(6486,plain,
% 41.32/26.92 (v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6485, 465, 6402])).
% 41.32/26.92 tff(6487,plain,
% 41.32/26.92 (v90(constB48, bitIndex0) | (~v90(constB49, bitIndex0))),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6486, 6414])).
% 41.32/26.92 tff(6488,plain,
% 41.32/26.92 (~v90(constB49, bitIndex0)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6487, 6479])).
% 41.32/26.92 tff(6489,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6490,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6491,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6490, 6489])).
% 41.32/26.92 tff(6492,plain,
% 41.32/26.92 (v121(constB49)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6491, 1870, 6488, 6454, 6423])).
% 41.32/26.92 tff(6493,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB49)) | v117(constB49))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB49)) | v117(constB49))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6494,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB49)) | v117(constB49))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6495,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB49)) | v117(constB49)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6494, 6493])).
% 41.32/26.92 tff(6496,plain,
% 41.32/26.92 (v117(constB49)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6495, 1881, 6492])).
% 41.32/26.92 tff(6497,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB49)) | v116(constB49))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB49)) | v116(constB49))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6498,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB49)) | v116(constB49))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6499,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB49)) | v116(constB49)),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6498, 6497])).
% 41.32/26.92 tff(6500,plain,
% 41.32/26.92 (v116(constB49)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6499, 525, 6496])).
% 41.32/26.92 tff(6501,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB49) | (~v116(constB49)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB49) | (~v116(constB49)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6502,plain,
% 41.32/26.92 (((~v116(constB49)) | v115(constB49)) <=> (v115(constB49) | (~v116(constB49)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6503,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB49)) | v115(constB49))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB49) | (~v116(constB49))))),
% 41.32/26.92 inference(monotonicity,[status(thm)],[6502])).
% 41.32/26.92 tff(6504,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB49)) | v115(constB49))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB49) | (~v116(constB49)))),
% 41.32/26.92 inference(transitivity,[status(thm)],[6503, 6501])).
% 41.32/26.92 tff(6505,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB49)) | v115(constB49))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6506,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB49) | (~v116(constB49))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6505, 6504])).
% 41.32/26.92 tff(6507,plain,
% 41.32/26.92 (v115(constB49)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6506, 539, 6500])).
% 41.32/26.92 tff(6508,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB49) | (~v115(constB49)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB49) | (~v115(constB49)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6509,plain,
% 41.32/26.92 (((~v115(constB49)) | v114(constB49)) <=> (v114(constB49) | (~v115(constB49)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6510,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB49)) | v114(constB49))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB49) | (~v115(constB49))))),
% 41.32/26.92 inference(monotonicity,[status(thm)],[6509])).
% 41.32/26.92 tff(6511,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB49)) | v114(constB49))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB49) | (~v115(constB49)))),
% 41.32/26.92 inference(transitivity,[status(thm)],[6510, 6508])).
% 41.32/26.92 tff(6512,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB49)) | v114(constB49))),
% 41.32/26.92 inference(quant_inst,[status(thm)],[])).
% 41.32/26.92 tff(6513,plain,
% 41.32/26.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB49) | (~v115(constB49))),
% 41.32/26.92 inference(modus_ponens,[status(thm)],[6512, 6511])).
% 41.32/26.92 tff(6514,plain,
% 41.32/26.92 (v114(constB49)),
% 41.32/26.92 inference(unit_resolution,[status(thm)],[6513, 553, 6507])).
% 41.32/26.92 tff(6515,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v114(constB49)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v114(constB49)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6516,plain,
% 41.32/26.92 (((~v114(constB49)) | v113(constB49)) <=> (v113(constB49) | (~v114(constB49)))),
% 41.32/26.92 inference(rewrite,[status(thm)],[])).
% 41.32/26.92 tff(6517,plain,
% 41.32/26.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v114(constB49))))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6516])).
% 41.32/26.93 tff(6518,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v114(constB49)))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6517, 6515])).
% 41.32/26.93 tff(6519,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB49)) | v113(constB49))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6520,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v114(constB49))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6519, 6518])).
% 41.32/26.93 tff(6521,plain,
% 41.32/26.93 (v113(constB49)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6520, 567, 6514])).
% 41.32/26.93 tff(6522,assumption,(v26(constB49)), introduced(assumption)).
% 41.32/26.93 tff(6523,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6524,plain,
% 41.32/26.93 ($false),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6523, 95, 6522])).
% 41.32/26.93 tff(6525,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 41.32/26.93 tff(6526,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6527,plain,
% 41.32/26.93 ((v26(constB49) | (~v113(constB49)) | v112(constB49)) <=> (v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6528,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49))))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6527])).
% 41.32/26.93 tff(6529,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6528, 6526])).
% 41.32/26.93 tff(6530,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6531,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6530, 6529])).
% 41.32/26.93 tff(6532,plain,
% 41.32/26.93 (v112(constB49) | (~v113(constB49))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6531, 581, 6525])).
% 41.32/26.93 tff(6533,plain,
% 41.32/26.93 (v112(constB49)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6532, 6521])).
% 41.32/26.93 tff(6534,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6535,plain,
% 41.32/26.93 (((~v112(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v112(constB49)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6536,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49))))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6535])).
% 41.32/26.93 tff(6537,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6536, 6534])).
% 41.32/26.93 tff(6538,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6539,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 41.32/26.93 tff(6540,plain,
% 41.32/26.93 (v108(constB49)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6539, 746, 6533])).
% 41.32/26.93 tff(6541,plain,
% 41.32/26.93 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6542,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 41.32/26.93 tff(6543,plain,
% 41.32/26.93 (nextState(constB49, constB50)),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6542, 6541])).
% 41.32/26.93 tff(6544,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6545,plain,
% 41.32/26.93 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6546,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6545])).
% 41.32/26.93 tff(6547,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6546, 6544])).
% 41.32/26.93 tff(6548,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6549,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6548, 6547])).
% 41.32/26.93 tff(6550,plain,
% 41.32/26.93 (v110(constB50) | (~v108(constB49))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6549, 731, 6543])).
% 41.32/26.93 tff(6551,plain,
% 41.32/26.93 (v110(constB50)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6550, 6540])).
% 41.32/26.93 tff(6552,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6553,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6554,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 41.32/26.93 tff(6555,plain,
% 41.32/26.93 (~v104(constB50)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6554, 659, 6543, 6399])).
% 41.32/26.93 tff(6556,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6557,plain,
% 41.32/26.93 (((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)) <=> ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6558,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50)))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6557])).
% 41.32/26.93 tff(6559,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6558, 6556])).
% 41.32/26.93 tff(6560,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6561,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50)),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6560, 6559])).
% 41.32/26.93 tff(6562,plain,
% 41.32/26.93 (v104(constB50) | v102(constB50)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6561, 673, 6543])).
% 41.32/26.93 tff(6563,plain,
% 41.32/26.93 (v102(constB50)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6562, 6555])).
% 41.32/26.93 tff(6564,plain,
% 41.32/26.93 (v1(constB50) <=> v1(constB50)),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6565,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 41.32/26.93 tff(6566,plain,
% 41.32/26.93 (v1(constB50)),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6565, 6564])).
% 41.32/26.93 tff(6567,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6568,plain,
% 41.32/26.93 (((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))) <=> ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6569,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50))))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6568])).
% 41.32/26.93 tff(6570,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6569, 6567])).
% 41.32/26.93 tff(6571,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6572,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6571, 6570])).
% 41.32/26.93 tff(6573,plain,
% 41.32/26.93 (v101(constB50) | (~v102(constB50))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6572, 694, 6543, 6566])).
% 41.32/26.93 tff(6574,plain,
% 41.32/26.93 (v101(constB50)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6573, 6563])).
% 41.32/26.93 tff(6575,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6576,plain,
% 41.32/26.93 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6577,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6576])).
% 41.32/26.93 tff(6578,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6577, 6575])).
% 41.32/26.93 tff(6579,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6580,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 41.32/26.93 tff(6581,plain,
% 41.32/26.93 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6580, 712, 6543])).
% 41.32/26.93 tff(6582,plain,
% 41.32/26.93 (v100(constB50) | (~v110(constB50))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6581, 6574])).
% 41.32/26.93 tff(6583,plain,
% 41.32/26.93 (v100(constB50)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6582, 6551])).
% 41.32/26.93 tff(6584,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v130(constB49, bitIndex2)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6585,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v130(constB49, bitIndex2)))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6586,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v130(constB49, bitIndex2))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6585, 6584])).
% 41.32/26.93 tff(6587,plain,
% 41.32/26.93 (~v130(constB49, bitIndex2)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6586, 1990, 6492])).
% 41.32/26.93 tff(6588,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6589,plain,
% 41.32/26.93 ((v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2))) <=> ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6590,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6589])).
% 41.32/26.93 tff(6591,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6590, 6588])).
% 41.32/26.93 tff(6592,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6593,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6592, 6591])).
% 41.32/26.93 tff(6594,plain,
% 41.32/26.93 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6593, 1419, 6525])).
% 41.32/26.93 tff(6595,plain,
% 41.32/26.93 (~v127(constB49, bitIndex2)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6594, 6587])).
% 41.32/26.93 tff(6596,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6597,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6598,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6597, 6596])).
% 41.32/26.93 tff(6599,plain,
% 41.32/26.93 (v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6598, 1437, 6543])).
% 41.32/26.93 tff(6600,plain,
% 41.32/26.93 (~v129(constB50, bitIndex2)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6599, 6595])).
% 41.32/26.93 tff(6601,plain,
% 41.32/26.93 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6602,plain,
% 41.32/26.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6603,plain,
% 41.32/26.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6602, 6601])).
% 41.32/26.93 tff(6604,plain,
% 41.32/26.93 ((~v90(constB50, bitIndex2)) | (~v100(constB50))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6603, 1452, 6600])).
% 41.32/26.93 tff(6605,plain,
% 41.32/26.93 (~v90(constB50, bitIndex2)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6604, 6583])).
% 41.32/26.93 tff(6606,plain,
% 41.32/26.93 ((~v1(constB51)) <=> (~v1(constB51))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6607,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 41.32/26.93 tff(6608,plain,
% 41.32/26.93 (~v1(constB51)),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6607, 6606])).
% 41.32/26.93 tff(6609,plain,
% 41.32/26.93 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6610,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 41.32/26.93 tff(6611,plain,
% 41.32/26.93 (nextState(constB50, constB51)),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 41.32/26.93 tff(6612,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6613,plain,
% 41.32/26.93 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6614,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6613])).
% 41.32/26.93 tff(6615,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6614, 6612])).
% 41.32/26.93 tff(6616,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6617,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6616, 6615])).
% 41.32/26.93 tff(6618,plain,
% 41.32/26.93 (~v101(constB51)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6617, 391, 6611, 6608])).
% 41.32/26.93 tff(6619,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6620,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6621,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6620, 6619])).
% 41.32/26.93 tff(6622,plain,
% 41.32/26.93 (v101(constB51) | (~v100(constB51))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6621, 408, 6611])).
% 41.32/26.93 tff(6623,plain,
% 41.32/26.93 (~v100(constB51)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6622, 6618])).
% 41.32/26.93 tff(6624,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6625,plain,
% 41.32/26.93 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6626,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6625])).
% 41.32/26.93 tff(6627,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6626, 6624])).
% 41.32/26.93 tff(6628,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6629,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 41.32/26.93 tff(6630,plain,
% 41.32/26.93 (v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6629, 423, 6611])).
% 41.32/26.93 tff(6631,plain,
% 41.32/26.93 (v90(constB50, bitIndex2) | (~v90(constB51, bitIndex2))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6630, 6623])).
% 41.32/26.93 tff(6632,plain,
% 41.32/26.93 (~v90(constB51, bitIndex2)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6631, 6605])).
% 41.32/26.93 tff(6633,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB49)) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB49)) | v130(constB49, bitIndex1))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6634,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB49)) | v130(constB49, bitIndex1))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6635,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB49)) | v130(constB49, bitIndex1)),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6634, 6633])).
% 41.32/26.93 tff(6636,plain,
% 41.32/26.93 (v130(constB49, bitIndex1)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6635, 2050, 6492])).
% 41.32/26.93 tff(6637,plain,
% 41.32/26.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6638,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6639,plain,
% 41.32/26.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1)),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 41.32/26.93 tff(6640,plain,
% 41.32/26.93 ((~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6639, 1144, 6525])).
% 41.32/26.93 tff(6641,plain,
% 41.32/26.93 (v127(constB49, bitIndex1)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6640, 6636])).
% 41.32/26.93 tff(6642,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6643,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6644,plain,
% 41.32/26.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1)),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6643, 6642])).
% 41.32/26.93 tff(6645,plain,
% 41.32/26.93 ((~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6644, 1159, 6543])).
% 41.32/26.93 tff(6646,plain,
% 41.32/26.93 (v129(constB50, bitIndex1)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6645, 6641])).
% 41.32/26.93 tff(6647,plain,
% 41.32/26.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6648,plain,
% 41.32/26.93 ((v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6649,plain,
% 41.32/26.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50))))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6648])).
% 41.32/26.93 tff(6650,plain,
% 41.32/26.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 41.32/26.93 inference(transitivity,[status(thm)],[6649, 6647])).
% 41.32/26.93 tff(6651,plain,
% 41.32/26.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))),
% 41.32/26.93 inference(quant_inst,[status(thm)],[])).
% 41.32/26.93 tff(6652,plain,
% 41.32/26.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50))),
% 41.32/26.93 inference(modus_ponens,[status(thm)],[6651, 6650])).
% 41.32/26.93 tff(6653,plain,
% 41.32/26.93 (v90(constB50, bitIndex1) | (~v100(constB50))),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6652, 1174, 6646])).
% 41.32/26.93 tff(6654,plain,
% 41.32/26.93 (v90(constB50, bitIndex1)),
% 41.32/26.93 inference(unit_resolution,[status(thm)],[6653, 6583])).
% 41.32/26.93 tff(6655,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6656,plain,
% 41.32/26.93 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 41.32/26.93 inference(rewrite,[status(thm)],[])).
% 41.32/26.93 tff(6657,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1)))),
% 41.32/26.93 inference(monotonicity,[status(thm)],[6656])).
% 41.32/26.93 tff(6658,plain,
% 41.32/26.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6657, 6655])).
% 41.32/26.94 tff(6659,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6660,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6659, 6658])).
% 41.32/26.94 tff(6661,plain,
% 41.32/26.94 ((~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6660, 1192, 6611])).
% 41.32/26.94 tff(6662,plain,
% 41.32/26.94 ((~v90(constB50, bitIndex1)) | v90(constB51, bitIndex1)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6661, 6623])).
% 41.32/26.94 tff(6663,plain,
% 41.32/26.94 (v90(constB51, bitIndex1)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6662, 6654])).
% 41.32/26.94 tff(6664,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6665,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6666,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6665, 6664])).
% 41.32/26.94 tff(6667,plain,
% 41.32/26.94 (v130(constB49, bitIndex0)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6666, 2088, 6492])).
% 41.32/26.94 tff(6668,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6669,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6670,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6669, 6668])).
% 41.32/26.94 tff(6671,plain,
% 41.32/26.94 ((~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6670, 1552, 6525])).
% 41.32/26.94 tff(6672,plain,
% 41.32/26.94 (v127(constB49, bitIndex0)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6671, 6667])).
% 41.32/26.94 tff(6673,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6674,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6675,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 41.32/26.94 tff(6676,plain,
% 41.32/26.94 ((~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6675, 1567, 6543])).
% 41.32/26.94 tff(6677,plain,
% 41.32/26.94 (v129(constB50, bitIndex0)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6676, 6672])).
% 41.32/26.94 tff(6678,plain,
% 41.32/26.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6679,plain,
% 41.32/26.94 ((v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6680,plain,
% 41.32/26.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6679])).
% 41.32/26.94 tff(6681,plain,
% 41.32/26.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6680, 6678])).
% 41.32/26.94 tff(6682,plain,
% 41.32/26.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6683,plain,
% 41.32/26.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 41.32/26.94 tff(6684,plain,
% 41.32/26.94 (v90(constB50, bitIndex0) | (~v100(constB50))),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6683, 1582, 6677])).
% 41.32/26.94 tff(6685,plain,
% 41.32/26.94 (v90(constB50, bitIndex0)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6684, 6583])).
% 41.32/26.94 tff(6686,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6687,plain,
% 41.32/26.94 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6688,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6687])).
% 41.32/26.94 tff(6689,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6688, 6686])).
% 41.32/26.94 tff(6690,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6691,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6690, 6689])).
% 41.32/26.94 tff(6692,plain,
% 41.32/26.94 ((~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6691, 1600, 6611])).
% 41.32/26.94 tff(6693,plain,
% 41.32/26.94 ((~v90(constB50, bitIndex0)) | v90(constB51, bitIndex0)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6692, 6623])).
% 41.32/26.94 tff(6694,plain,
% 41.32/26.94 (v90(constB51, bitIndex0)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6693, 6685])).
% 41.32/26.94 tff(6695,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6696,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6697,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6696, 6695])).
% 41.32/26.94 tff(6698,plain,
% 41.32/26.94 (v122(constB51)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6697, 2129, 6694, 6663, 6632])).
% 41.32/26.94 tff(6699,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v122(constB51)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v122(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6700,plain,
% 41.32/26.94 (((~v122(constB51)) | v116(constB51)) <=> (v116(constB51) | (~v122(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6701,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v122(constB51))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6700])).
% 41.32/26.94 tff(6702,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v122(constB51)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6701, 6699])).
% 41.32/26.94 tff(6703,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB51)) | v116(constB51))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6704,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v122(constB51))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6703, 6702])).
% 41.32/26.94 tff(6705,plain,
% 41.32/26.94 (v116(constB51)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6704, 2140, 6698])).
% 41.32/26.94 tff(6706,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6707,plain,
% 41.32/26.94 (((~v116(constB51)) | v115(constB51)) <=> (v115(constB51) | (~v116(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6708,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6707])).
% 41.32/26.94 tff(6709,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6708, 6706])).
% 41.32/26.94 tff(6710,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6711,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6710, 6709])).
% 41.32/26.94 tff(6712,plain,
% 41.32/26.94 (v115(constB51)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6711, 539, 6705])).
% 41.32/26.94 tff(6713,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6714,plain,
% 41.32/26.94 (((~v115(constB51)) | v114(constB51)) <=> (v114(constB51) | (~v115(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6715,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6714])).
% 41.32/26.94 tff(6716,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6715, 6713])).
% 41.32/26.94 tff(6717,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6718,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6717, 6716])).
% 41.32/26.94 tff(6719,plain,
% 41.32/26.94 (v114(constB51)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6718, 553, 6712])).
% 41.32/26.94 tff(6720,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6721,plain,
% 41.32/26.94 (((~v114(constB51)) | v113(constB51)) <=> (v113(constB51) | (~v114(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6722,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6721])).
% 41.32/26.94 tff(6723,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6722, 6720])).
% 41.32/26.94 tff(6724,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6725,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 41.32/26.94 tff(6726,plain,
% 41.32/26.94 (v113(constB51)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6725, 567, 6719])).
% 41.32/26.94 tff(6727,assumption,(v26(constB51)), introduced(assumption)).
% 41.32/26.94 tff(6728,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6729,plain,
% 41.32/26.94 ($false),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6728, 95, 6727])).
% 41.32/26.94 tff(6730,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 41.32/26.94 tff(6731,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6732,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6733,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6732, 6731])).
% 41.32/26.94 tff(6734,plain,
% 41.32/26.94 ((~v113(constB51)) | v112(constB51)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6733, 581, 6730])).
% 41.32/26.94 tff(6735,plain,
% 41.32/26.94 (v112(constB51)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6734, 6726])).
% 41.32/26.94 tff(6736,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6737,plain,
% 41.32/26.94 (((~v112(constB51)) | v108(constB51)) <=> (v108(constB51) | (~v112(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6738,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6737])).
% 41.32/26.94 tff(6739,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6738, 6736])).
% 41.32/26.94 tff(6740,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6741,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6740, 6739])).
% 41.32/26.94 tff(6742,plain,
% 41.32/26.94 (v108(constB51)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6741, 746, 6735])).
% 41.32/26.94 tff(6743,plain,
% 41.32/26.94 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6744,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 41.32/26.94 tff(6745,plain,
% 41.32/26.94 (nextState(constB51, constB52)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6744, 6743])).
% 41.32/26.94 tff(6746,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6747,plain,
% 41.32/26.94 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6748,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6747])).
% 41.32/26.94 tff(6749,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6748, 6746])).
% 41.32/26.94 tff(6750,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6751,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6750, 6749])).
% 41.32/26.94 tff(6752,plain,
% 41.32/26.94 (v110(constB52) | (~v108(constB51))),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6751, 731, 6745])).
% 41.32/26.94 tff(6753,plain,
% 41.32/26.94 (v110(constB52)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6752, 6742])).
% 41.32/26.94 tff(6754,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6755,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6756,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6755, 6754])).
% 41.32/26.94 tff(6757,plain,
% 41.32/26.94 (~v104(constB52)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6756, 659, 6745, 6608])).
% 41.32/26.94 tff(6758,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6759,plain,
% 41.32/26.94 (((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)) <=> ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6760,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52)))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6759])).
% 41.32/26.94 tff(6761,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6760, 6758])).
% 41.32/26.94 tff(6762,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6763,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 41.32/26.94 tff(6764,plain,
% 41.32/26.94 (v104(constB52) | v102(constB52)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6763, 673, 6745])).
% 41.32/26.94 tff(6765,plain,
% 41.32/26.94 (v102(constB52)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6764, 6757])).
% 41.32/26.94 tff(6766,plain,
% 41.32/26.94 (v1(constB52) <=> v1(constB52)),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6767,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 41.32/26.94 tff(6768,plain,
% 41.32/26.94 (v1(constB52)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6767, 6766])).
% 41.32/26.94 tff(6769,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6770,plain,
% 41.32/26.94 (((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))) <=> ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6771,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6770])).
% 41.32/26.94 tff(6772,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6771, 6769])).
% 41.32/26.94 tff(6773,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6774,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6773, 6772])).
% 41.32/26.94 tff(6775,plain,
% 41.32/26.94 (v101(constB52) | (~v102(constB52))),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6774, 694, 6745, 6768])).
% 41.32/26.94 tff(6776,plain,
% 41.32/26.94 (v101(constB52)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6775, 6765])).
% 41.32/26.94 tff(6777,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6778,plain,
% 41.32/26.94 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6779,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6778])).
% 41.32/26.94 tff(6780,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6779, 6777])).
% 41.32/26.94 tff(6781,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6782,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 41.32/26.94 tff(6783,plain,
% 41.32/26.94 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6782, 712, 6745])).
% 41.32/26.94 tff(6784,plain,
% 41.32/26.94 (v100(constB52) | (~v110(constB52))),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6783, 6776])).
% 41.32/26.94 tff(6785,plain,
% 41.32/26.94 (v100(constB52)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6784, 6753])).
% 41.32/26.94 tff(6786,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB51)) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB51)) | v130(constB51, bitIndex2))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6787,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB51)) | v130(constB51, bitIndex2))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6788,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB51)) | v130(constB51, bitIndex2)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6787, 6786])).
% 41.32/26.94 tff(6789,plain,
% 41.32/26.94 (v130(constB51, bitIndex2)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6788, 2224, 6698])).
% 41.32/26.94 tff(6790,plain,
% 41.32/26.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6791,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6792,plain,
% 41.32/26.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6791, 6790])).
% 41.32/26.94 tff(6793,plain,
% 41.32/26.94 ((~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6792, 607, 6730])).
% 41.32/26.94 tff(6794,plain,
% 41.32/26.94 (v127(constB51, bitIndex2)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6793, 6789])).
% 41.32/26.94 tff(6795,plain,
% 41.32/26.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6796,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6797,plain,
% 41.32/26.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2)),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6796, 6795])).
% 41.32/26.94 tff(6798,plain,
% 41.32/26.94 ((~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6797, 625, 6745])).
% 41.32/26.94 tff(6799,plain,
% 41.32/26.94 (v129(constB52, bitIndex2)),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6798, 6794])).
% 41.32/26.94 tff(6800,plain,
% 41.32/26.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6801,plain,
% 41.32/26.94 ((v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 41.32/26.94 inference(rewrite,[status(thm)],[])).
% 41.32/26.94 tff(6802,plain,
% 41.32/26.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52))))),
% 41.32/26.94 inference(monotonicity,[status(thm)],[6801])).
% 41.32/26.94 tff(6803,plain,
% 41.32/26.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 41.32/26.94 inference(transitivity,[status(thm)],[6802, 6800])).
% 41.32/26.94 tff(6804,plain,
% 41.32/26.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))),
% 41.32/26.94 inference(quant_inst,[status(thm)],[])).
% 41.32/26.94 tff(6805,plain,
% 41.32/26.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52))),
% 41.32/26.94 inference(modus_ponens,[status(thm)],[6804, 6803])).
% 41.32/26.94 tff(6806,plain,
% 41.32/26.94 (v90(constB52, bitIndex2) | (~v100(constB52))),
% 41.32/26.94 inference(unit_resolution,[status(thm)],[6805, 641, 6799])).
% 41.32/26.94 tff(6807,plain,
% 41.32/26.95 (v90(constB52, bitIndex2)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6806, 6785])).
% 41.32/26.95 tff(6808,plain,
% 41.32/26.95 ((~v1(constB53)) <=> (~v1(constB53))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6809,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 41.32/26.95 tff(6810,plain,
% 41.32/26.95 (~v1(constB53)),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 41.32/26.95 tff(6811,plain,
% 41.32/26.95 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6812,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 41.32/26.95 tff(6813,plain,
% 41.32/26.95 (nextState(constB52, constB53)),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6812, 6811])).
% 41.32/26.95 tff(6814,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6815,plain,
% 41.32/26.95 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6816,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6815])).
% 41.32/26.95 tff(6817,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6816, 6814])).
% 41.32/26.95 tff(6818,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6819,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 41.32/26.95 tff(6820,plain,
% 41.32/26.95 (~v101(constB53)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6819, 391, 6813, 6810])).
% 41.32/26.95 tff(6821,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6822,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6823,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 41.32/26.95 tff(6824,plain,
% 41.32/26.95 (v101(constB53) | (~v100(constB53))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6823, 408, 6813])).
% 41.32/26.95 tff(6825,plain,
% 41.32/26.95 (~v100(constB53)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6824, 6820])).
% 41.32/26.95 tff(6826,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6827,plain,
% 41.32/26.95 (((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2)) <=> ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6828,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2)))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6827])).
% 41.32/26.95 tff(6829,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6828, 6826])).
% 41.32/26.95 tff(6830,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6831,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2)),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 41.32/26.95 tff(6832,plain,
% 41.32/26.95 ((~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6831, 783, 6813])).
% 41.32/26.95 tff(6833,plain,
% 41.32/26.95 ((~v90(constB52, bitIndex2)) | v90(constB53, bitIndex2)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6832, 6825])).
% 41.32/26.95 tff(6834,plain,
% 41.32/26.95 (v90(constB53, bitIndex2)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6833, 6807])).
% 41.32/26.95 tff(6835,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB51)) | (~v130(constB51, bitIndex1)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6836,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex1)))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6837,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB51)) | (~v130(constB51, bitIndex1))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6836, 6835])).
% 41.32/26.95 tff(6838,plain,
% 41.32/26.95 (~v130(constB51, bitIndex1)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6837, 2281, 6698])).
% 41.32/26.95 tff(6839,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6840,plain,
% 41.32/26.95 ((v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1))) <=> ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6841,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1)))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6840])).
% 41.32/26.95 tff(6842,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6841, 6839])).
% 41.32/26.95 tff(6843,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6844,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1)),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 41.32/26.95 tff(6845,plain,
% 41.32/26.95 ((~v127(constB51, bitIndex1)) | v130(constB51, bitIndex1)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6844, 823, 6730])).
% 41.32/26.95 tff(6846,plain,
% 41.32/26.95 (~v127(constB51, bitIndex1)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6845, 6838])).
% 41.32/26.95 tff(6847,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6848,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6849,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6848, 6847])).
% 41.32/26.95 tff(6850,plain,
% 41.32/26.95 (v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6849, 853, 6745])).
% 41.32/26.95 tff(6851,plain,
% 41.32/26.95 (~v129(constB52, bitIndex1)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6850, 6846])).
% 41.32/26.95 tff(6852,plain,
% 41.32/26.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6853,plain,
% 41.32/26.95 (((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1)) <=> ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6854,plain,
% 41.32/26.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52))))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6853])).
% 41.32/26.95 tff(6855,plain,
% 41.32/26.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6854, 6852])).
% 41.32/26.95 tff(6856,plain,
% 41.32/26.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6857,plain,
% 41.32/26.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6856, 6855])).
% 41.32/26.95 tff(6858,plain,
% 41.32/26.95 ((~v90(constB52, bitIndex1)) | (~v100(constB52))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6857, 868, 6851])).
% 41.32/26.95 tff(6859,plain,
% 41.32/26.95 (~v90(constB52, bitIndex1)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6858, 6785])).
% 41.32/26.95 tff(6860,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6861,plain,
% 41.32/26.95 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1))) <=> (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6862,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1))))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6861])).
% 41.32/26.95 tff(6863,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6862, 6860])).
% 41.32/26.95 tff(6864,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6865,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 41.32/26.95 tff(6866,plain,
% 41.32/26.95 (v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6865, 444, 6813])).
% 41.32/26.95 tff(6867,plain,
% 41.32/26.95 (v90(constB52, bitIndex1) | (~v90(constB53, bitIndex1))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6866, 6825])).
% 41.32/26.95 tff(6868,plain,
% 41.32/26.95 (~v90(constB53, bitIndex1)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6867, 6859])).
% 41.32/26.95 tff(6869,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB51)) | (~v130(constB51, bitIndex0)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6870,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex0)))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6871,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB51)) | (~v130(constB51, bitIndex0))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6870, 6869])).
% 41.32/26.95 tff(6872,plain,
% 41.32/26.95 (~v130(constB51, bitIndex0)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6871, 2327, 6698])).
% 41.32/26.95 tff(6873,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6874,plain,
% 41.32/26.95 ((v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0))) <=> ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6875,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6874])).
% 41.32/26.95 tff(6876,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6875, 6873])).
% 41.32/26.95 tff(6877,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6878,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6877, 6876])).
% 41.32/26.95 tff(6879,plain,
% 41.32/26.95 ((~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6878, 907, 6730])).
% 41.32/26.95 tff(6880,plain,
% 41.32/26.95 (~v127(constB51, bitIndex0)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6879, 6872])).
% 41.32/26.95 tff(6881,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6882,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6883,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6882, 6881])).
% 41.32/26.95 tff(6884,plain,
% 41.32/26.95 (v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6883, 937, 6745])).
% 41.32/26.95 tff(6885,plain,
% 41.32/26.95 (~v129(constB52, bitIndex0)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6884, 6880])).
% 41.32/26.95 tff(6886,plain,
% 41.32/26.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6887,plain,
% 41.32/26.95 (((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0)) <=> ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6888,plain,
% 41.32/26.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6887])).
% 41.32/26.95 tff(6889,plain,
% 41.32/26.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6888, 6886])).
% 41.32/26.95 tff(6890,plain,
% 41.32/26.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6891,plain,
% 41.32/26.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 41.32/26.95 tff(6892,plain,
% 41.32/26.95 ((~v90(constB52, bitIndex0)) | (~v100(constB52))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6891, 952, 6885])).
% 41.32/26.95 tff(6893,plain,
% 41.32/26.95 (~v90(constB52, bitIndex0)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6892, 6785])).
% 41.32/26.95 tff(6894,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6895,plain,
% 41.32/26.95 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))) <=> (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6896,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6895])).
% 41.32/26.95 tff(6897,plain,
% 41.32/26.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6896, 6894])).
% 41.32/26.95 tff(6898,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6899,plain,
% 41.32/26.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 41.32/26.95 tff(6900,plain,
% 41.32/26.95 (v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6899, 465, 6813])).
% 41.32/26.95 tff(6901,plain,
% 41.32/26.95 (v90(constB52, bitIndex0) | (~v90(constB53, bitIndex0))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6900, 6825])).
% 41.32/26.95 tff(6902,plain,
% 41.32/26.95 (~v90(constB53, bitIndex0)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6901, 6893])).
% 41.32/26.95 tff(6903,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6904,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6905,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53)),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6904, 6903])).
% 41.32/26.95 tff(6906,plain,
% 41.32/26.95 (v123(constB53)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6905, 979, 6902, 6868, 6834])).
% 41.32/26.95 tff(6907,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB53)) | v115(constB53))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6908,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB53)) | v115(constB53))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6909,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB53)) | v115(constB53)),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6908, 6907])).
% 41.32/26.95 tff(6910,plain,
% 41.32/26.95 (v115(constB53)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6909, 990, 6906])).
% 41.32/26.95 tff(6911,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6912,plain,
% 41.32/26.95 (((~v115(constB53)) | v114(constB53)) <=> (v114(constB53) | (~v115(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6913,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53))))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6912])).
% 41.32/26.95 tff(6914,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6913, 6911])).
% 41.32/26.95 tff(6915,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6916,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6915, 6914])).
% 41.32/26.95 tff(6917,plain,
% 41.32/26.95 (v114(constB53)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6916, 553, 6910])).
% 41.32/26.95 tff(6918,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6919,plain,
% 41.32/26.95 (((~v114(constB53)) | v113(constB53)) <=> (v113(constB53) | (~v114(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6920,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53))))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6919])).
% 41.32/26.95 tff(6921,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6920, 6918])).
% 41.32/26.95 tff(6922,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6923,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6922, 6921])).
% 41.32/26.95 tff(6924,plain,
% 41.32/26.95 (v113(constB53)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6923, 567, 6917])).
% 41.32/26.95 tff(6925,assumption,(v26(constB53)), introduced(assumption)).
% 41.32/26.95 tff(6926,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6927,plain,
% 41.32/26.95 ($false),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6926, 95, 6925])).
% 41.32/26.95 tff(6928,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 41.32/26.95 tff(6929,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6930,plain,
% 41.32/26.95 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6931,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6930])).
% 41.32/26.95 tff(6932,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6931, 6929])).
% 41.32/26.95 tff(6933,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6934,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6933, 6932])).
% 41.32/26.95 tff(6935,plain,
% 41.32/26.95 (v112(constB53) | (~v113(constB53))),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6934, 581, 6928])).
% 41.32/26.95 tff(6936,plain,
% 41.32/26.95 (v112(constB53)),
% 41.32/26.95 inference(unit_resolution,[status(thm)],[6935, 6924])).
% 41.32/26.95 tff(6937,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6938,plain,
% 41.32/26.95 (((~v112(constB53)) | v108(constB53)) <=> (v108(constB53) | (~v112(constB53)))),
% 41.32/26.95 inference(rewrite,[status(thm)],[])).
% 41.32/26.95 tff(6939,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53))))),
% 41.32/26.95 inference(monotonicity,[status(thm)],[6938])).
% 41.32/26.95 tff(6940,plain,
% 41.32/26.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 41.32/26.95 inference(transitivity,[status(thm)],[6939, 6937])).
% 41.32/26.95 tff(6941,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))),
% 41.32/26.95 inference(quant_inst,[status(thm)],[])).
% 41.32/26.95 tff(6942,plain,
% 41.32/26.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53))),
% 41.32/26.95 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 41.32/26.96 tff(6943,plain,
% 41.32/26.96 (v108(constB53)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6942, 746, 6936])).
% 41.32/26.96 tff(6944,plain,
% 41.32/26.96 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6945,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 41.32/26.96 tff(6946,plain,
% 41.32/26.96 (nextState(constB53, constB54)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 41.32/26.96 tff(6947,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6948,plain,
% 41.32/26.96 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6949,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 41.32/26.96 inference(monotonicity,[status(thm)],[6948])).
% 41.32/26.96 tff(6950,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 41.32/26.96 inference(transitivity,[status(thm)],[6949, 6947])).
% 41.32/26.96 tff(6951,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(6952,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6951, 6950])).
% 41.32/26.96 tff(6953,plain,
% 41.32/26.96 (v110(constB54) | (~v108(constB53))),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6952, 731, 6946])).
% 41.32/26.96 tff(6954,plain,
% 41.32/26.96 (v110(constB54)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6953, 6943])).
% 41.32/26.96 tff(6955,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6956,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(6957,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 41.32/26.96 tff(6958,plain,
% 41.32/26.96 (~v104(constB54)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6957, 659, 6946, 6810])).
% 41.32/26.96 tff(6959,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6960,plain,
% 41.32/26.96 (((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)) <=> ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6961,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54)))),
% 41.32/26.96 inference(monotonicity,[status(thm)],[6960])).
% 41.32/26.96 tff(6962,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 41.32/26.96 inference(transitivity,[status(thm)],[6961, 6959])).
% 41.32/26.96 tff(6963,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(6964,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 41.32/26.96 tff(6965,plain,
% 41.32/26.96 (v104(constB54) | v102(constB54)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6964, 673, 6946])).
% 41.32/26.96 tff(6966,plain,
% 41.32/26.96 (v102(constB54)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6965, 6958])).
% 41.32/26.96 tff(6967,plain,
% 41.32/26.96 (v1(constB54) <=> v1(constB54)),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6968,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 41.32/26.96 tff(6969,plain,
% 41.32/26.96 (v1(constB54)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6968, 6967])).
% 41.32/26.96 tff(6970,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6971,plain,
% 41.32/26.96 (((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))) <=> ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6972,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54))))),
% 41.32/26.96 inference(monotonicity,[status(thm)],[6971])).
% 41.32/26.96 tff(6973,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 41.32/26.96 inference(transitivity,[status(thm)],[6972, 6970])).
% 41.32/26.96 tff(6974,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(6975,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54))),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6974, 6973])).
% 41.32/26.96 tff(6976,plain,
% 41.32/26.96 (v101(constB54) | (~v102(constB54))),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6975, 694, 6946, 6969])).
% 41.32/26.96 tff(6977,plain,
% 41.32/26.96 (v101(constB54)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6976, 6966])).
% 41.32/26.96 tff(6978,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6979,plain,
% 41.32/26.96 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6980,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 41.32/26.96 inference(monotonicity,[status(thm)],[6979])).
% 41.32/26.96 tff(6981,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 41.32/26.96 inference(transitivity,[status(thm)],[6980, 6978])).
% 41.32/26.96 tff(6982,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(6983,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6982, 6981])).
% 41.32/26.96 tff(6984,plain,
% 41.32/26.96 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6983, 712, 6946])).
% 41.32/26.96 tff(6985,plain,
% 41.32/26.96 (v100(constB54) | (~v110(constB54))),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6984, 6977])).
% 41.32/26.96 tff(6986,plain,
% 41.32/26.96 (v100(constB54)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6985, 6954])).
% 41.32/26.96 tff(6987,plain,
% 41.32/26.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB53)) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB53)) | v130(constB53, bitIndex2))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6988,plain,
% 41.32/26.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB53)) | v130(constB53, bitIndex2))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(6989,plain,
% 41.32/26.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB53)) | v130(constB53, bitIndex2)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 41.32/26.96 tff(6990,plain,
% 41.32/26.96 (v130(constB53, bitIndex2)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6989, 1074, 6906])).
% 41.32/26.96 tff(6991,plain,
% 41.32/26.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6992,plain,
% 41.32/26.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(6993,plain,
% 41.32/26.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6992, 6991])).
% 41.32/26.96 tff(6994,plain,
% 41.32/26.96 ((~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6993, 607, 6928])).
% 41.32/26.96 tff(6995,plain,
% 41.32/26.96 (v127(constB53, bitIndex2)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6994, 6990])).
% 41.32/26.96 tff(6996,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(6997,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(6998,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[6997, 6996])).
% 41.32/26.96 tff(6999,plain,
% 41.32/26.96 ((~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6998, 625, 6946])).
% 41.32/26.96 tff(7000,plain,
% 41.32/26.96 (v129(constB54, bitIndex2)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[6999, 6995])).
% 41.32/26.96 tff(7001,plain,
% 41.32/26.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7002,plain,
% 41.32/26.96 ((v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7003,plain,
% 41.32/26.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54))))),
% 41.32/26.96 inference(monotonicity,[status(thm)],[7002])).
% 41.32/26.96 tff(7004,plain,
% 41.32/26.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 41.32/26.96 inference(transitivity,[status(thm)],[7003, 7001])).
% 41.32/26.96 tff(7005,plain,
% 41.32/26.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(7006,plain,
% 41.32/26.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54))),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7005, 7004])).
% 41.32/26.96 tff(7007,plain,
% 41.32/26.96 (v90(constB54, bitIndex2) | (~v100(constB54))),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7006, 641, 7000])).
% 41.32/26.96 tff(7008,plain,
% 41.32/26.96 (v90(constB54, bitIndex2)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7007, 6986])).
% 41.32/26.96 tff(7009,plain,
% 41.32/26.96 ((~v1(constB55)) <=> (~v1(constB55))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7010,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 41.32/26.96 tff(7011,plain,
% 41.32/26.96 (~v1(constB55)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7010, 7009])).
% 41.32/26.96 tff(7012,plain,
% 41.32/26.96 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7013,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 41.32/26.96 tff(7014,plain,
% 41.32/26.96 (nextState(constB54, constB55)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7013, 7012])).
% 41.32/26.96 tff(7015,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7016,plain,
% 41.32/26.96 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7017,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 41.32/26.96 inference(monotonicity,[status(thm)],[7016])).
% 41.32/26.96 tff(7018,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 41.32/26.96 inference(transitivity,[status(thm)],[7017, 7015])).
% 41.32/26.96 tff(7019,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(7020,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 41.32/26.96 tff(7021,plain,
% 41.32/26.96 (~v101(constB55)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7020, 391, 7014, 7011])).
% 41.32/26.96 tff(7022,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7023,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(7024,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7023, 7022])).
% 41.32/26.96 tff(7025,plain,
% 41.32/26.96 (v101(constB55) | (~v100(constB55))),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7024, 408, 7014])).
% 41.32/26.96 tff(7026,plain,
% 41.32/26.96 (~v100(constB55)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7025, 7021])).
% 41.32/26.96 tff(7027,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7028,plain,
% 41.32/26.96 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2)) <=> ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7029,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2)))),
% 41.32/26.96 inference(monotonicity,[status(thm)],[7028])).
% 41.32/26.96 tff(7030,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 41.32/26.96 inference(transitivity,[status(thm)],[7029, 7027])).
% 41.32/26.96 tff(7031,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(7032,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7031, 7030])).
% 41.32/26.96 tff(7033,plain,
% 41.32/26.96 ((~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7032, 783, 7014])).
% 41.32/26.96 tff(7034,plain,
% 41.32/26.96 ((~v90(constB54, bitIndex2)) | v90(constB55, bitIndex2)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7033, 7026])).
% 41.32/26.96 tff(7035,plain,
% 41.32/26.96 (v90(constB55, bitIndex2)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7034, 7008])).
% 41.32/26.96 tff(7036,plain,
% 41.32/26.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB53)) | v130(constB53, bitIndex1))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7037,plain,
% 41.32/26.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB53)) | v130(constB53, bitIndex1))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(7038,plain,
% 41.32/26.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB53)) | v130(constB53, bitIndex1)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7037, 7036])).
% 41.32/26.96 tff(7039,plain,
% 41.32/26.96 (v130(constB53, bitIndex1)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7038, 1130, 6906])).
% 41.32/26.96 tff(7040,plain,
% 41.32/26.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7041,plain,
% 41.32/26.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(7042,plain,
% 41.32/26.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 41.32/26.96 tff(7043,plain,
% 41.32/26.96 ((~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7042, 1144, 6928])).
% 41.32/26.96 tff(7044,plain,
% 41.32/26.96 (v127(constB53, bitIndex1)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7043, 7039])).
% 41.32/26.96 tff(7045,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7046,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(7047,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 41.32/26.96 tff(7048,plain,
% 41.32/26.96 ((~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7047, 1159, 6946])).
% 41.32/26.96 tff(7049,plain,
% 41.32/26.96 (v129(constB54, bitIndex1)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7048, 7044])).
% 41.32/26.96 tff(7050,plain,
% 41.32/26.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7051,plain,
% 41.32/26.96 ((v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7052,plain,
% 41.32/26.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))))),
% 41.32/26.96 inference(monotonicity,[status(thm)],[7051])).
% 41.32/26.96 tff(7053,plain,
% 41.32/26.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 41.32/26.96 inference(transitivity,[status(thm)],[7052, 7050])).
% 41.32/26.96 tff(7054,plain,
% 41.32/26.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(7055,plain,
% 41.32/26.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7054, 7053])).
% 41.32/26.96 tff(7056,plain,
% 41.32/26.96 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7055, 1174, 7049])).
% 41.32/26.96 tff(7057,plain,
% 41.32/26.96 (v90(constB54, bitIndex1)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7056, 6986])).
% 41.32/26.96 tff(7058,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7059,plain,
% 41.32/26.96 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 41.32/26.96 inference(rewrite,[status(thm)],[])).
% 41.32/26.96 tff(7060,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)))),
% 41.32/26.96 inference(monotonicity,[status(thm)],[7059])).
% 41.32/26.96 tff(7061,plain,
% 41.32/26.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 41.32/26.96 inference(transitivity,[status(thm)],[7060, 7058])).
% 41.32/26.96 tff(7062,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))),
% 41.32/26.96 inference(quant_inst,[status(thm)],[])).
% 41.32/26.96 tff(7063,plain,
% 41.32/26.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)),
% 41.32/26.96 inference(modus_ponens,[status(thm)],[7062, 7061])).
% 41.32/26.96 tff(7064,plain,
% 41.32/26.96 ((~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7063, 1192, 7014])).
% 41.32/26.96 tff(7065,plain,
% 41.32/26.96 ((~v90(constB54, bitIndex1)) | v90(constB55, bitIndex1)),
% 41.32/26.96 inference(unit_resolution,[status(thm)],[7064, 7026])).
% 41.32/26.97 tff(7066,plain,
% 41.32/26.97 (v90(constB55, bitIndex1)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7065, 7057])).
% 41.32/26.97 tff(7067,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB53)) | (~v130(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB53)) | (~v130(constB53, bitIndex0)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7068,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB53)) | (~v130(constB53, bitIndex0)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7069,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB53)) | (~v130(constB53, bitIndex0))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 41.32/26.97 tff(7070,plain,
% 41.32/26.97 (~v130(constB53, bitIndex0)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7069, 1208, 6906])).
% 41.32/26.97 tff(7071,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7072,plain,
% 41.32/26.97 ((v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0))) <=> ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7073,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0)))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7072])).
% 41.32/26.97 tff(7074,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7073, 7071])).
% 41.32/26.97 tff(7075,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7076,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0)),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 41.32/26.97 tff(7077,plain,
% 41.32/26.97 ((~v127(constB53, bitIndex0)) | v130(constB53, bitIndex0)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7076, 907, 6928])).
% 41.32/26.97 tff(7078,plain,
% 41.32/26.97 (~v127(constB53, bitIndex0)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7077, 7070])).
% 41.32/26.97 tff(7079,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7080,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7081,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 41.32/26.97 tff(7082,plain,
% 41.32/26.97 (v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0))),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7081, 937, 6946])).
% 41.32/26.97 tff(7083,plain,
% 41.32/26.97 (~v129(constB54, bitIndex0)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7082, 7078])).
% 41.32/26.97 tff(7084,plain,
% 41.32/26.97 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7085,plain,
% 41.32/26.97 (((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7086,plain,
% 41.32/26.97 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54))))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7085])).
% 41.32/26.97 tff(7087,plain,
% 41.32/26.97 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7086, 7084])).
% 41.32/26.97 tff(7088,plain,
% 41.32/26.97 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7089,plain,
% 41.32/26.97 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7088, 7087])).
% 41.32/26.97 tff(7090,plain,
% 41.32/26.97 ((~v90(constB54, bitIndex0)) | (~v100(constB54))),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7089, 952, 7083])).
% 41.32/26.97 tff(7091,plain,
% 41.32/26.97 (~v90(constB54, bitIndex0)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7090, 6986])).
% 41.32/26.97 tff(7092,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7093,plain,
% 41.32/26.97 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7094,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0))))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7093])).
% 41.32/26.97 tff(7095,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7094, 7092])).
% 41.32/26.97 tff(7096,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7097,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7096, 7095])).
% 41.32/26.97 tff(7098,plain,
% 41.32/26.97 (v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0))),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7097, 465, 7014])).
% 41.32/26.97 tff(7099,plain,
% 41.32/26.97 (v90(constB54, bitIndex0) | (~v90(constB55, bitIndex0))),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7098, 7026])).
% 41.32/26.97 tff(7100,plain,
% 41.32/26.97 (~v90(constB55, bitIndex0)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7099, 7091])).
% 41.32/26.97 tff(7101,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7102,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7103,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55)),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 41.32/26.97 tff(7104,plain,
% 41.32/26.97 (v125(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7103, 1252, 7100, 7066, 7035])).
% 41.32/26.97 tff(7105,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v125(constB55)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v125(constB55)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7106,plain,
% 41.32/26.97 (((~v125(constB55)) | v113(constB55)) <=> (v113(constB55) | (~v125(constB55)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7107,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v125(constB55))))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7106])).
% 41.32/26.97 tff(7108,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v125(constB55)))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7107, 7105])).
% 41.32/26.97 tff(7109,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB55)) | v113(constB55))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7110,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v125(constB55))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7109, 7108])).
% 41.32/26.97 tff(7111,plain,
% 41.32/26.97 (v113(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7110, 1263, 7104])).
% 41.32/26.97 tff(7112,assumption,(v26(constB55)), introduced(assumption)).
% 41.32/26.97 tff(7113,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7114,plain,
% 41.32/26.97 ($false),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7113, 95, 7112])).
% 41.32/26.97 tff(7115,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 41.32/26.97 tff(7116,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7117,plain,
% 41.32/26.97 ((v26(constB55) | (~v113(constB55)) | v112(constB55)) <=> (v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7118,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55))))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7117])).
% 41.32/26.97 tff(7119,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7118, 7116])).
% 41.32/26.97 tff(7120,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7121,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7120, 7119])).
% 41.32/26.97 tff(7122,plain,
% 41.32/26.97 (v112(constB55) | (~v113(constB55))),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7121, 581, 7115])).
% 41.32/26.97 tff(7123,plain,
% 41.32/26.97 (v112(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7122, 7111])).
% 41.32/26.97 tff(7124,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7125,plain,
% 41.32/26.97 (((~v112(constB55)) | v108(constB55)) <=> (v108(constB55) | (~v112(constB55)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7126,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55))))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7125])).
% 41.32/26.97 tff(7127,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7126, 7124])).
% 41.32/26.97 tff(7128,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7129,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 41.32/26.97 tff(7130,plain,
% 41.32/26.97 (v108(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7129, 746, 7123])).
% 41.32/26.97 tff(7131,plain,
% 41.32/26.97 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7132,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 41.32/26.97 tff(7133,plain,
% 41.32/26.97 (nextState(constB55, constB56)),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 41.32/26.97 tff(7134,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7135,plain,
% 41.32/26.97 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7136,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7135])).
% 41.32/26.97 tff(7137,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7136, 7134])).
% 41.32/26.97 tff(7138,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7139,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7138, 7137])).
% 41.32/26.97 tff(7140,plain,
% 41.32/26.97 (v110(constB56) | (~v108(constB55))),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7139, 731, 7133])).
% 41.32/26.97 tff(7141,plain,
% 41.32/26.97 (v110(constB56)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7140, 7130])).
% 41.32/26.97 tff(7142,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7143,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7144,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7143, 7142])).
% 41.32/26.97 tff(7145,plain,
% 41.32/26.97 (~v104(constB56)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7144, 659, 7133, 7011])).
% 41.32/26.97 tff(7146,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7147,plain,
% 41.32/26.97 (((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)) <=> ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7148,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56)))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7147])).
% 41.32/26.97 tff(7149,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7148, 7146])).
% 41.32/26.97 tff(7150,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7151,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56)),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7150, 7149])).
% 41.32/26.97 tff(7152,plain,
% 41.32/26.97 (v104(constB56) | v102(constB56)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7151, 673, 7133])).
% 41.32/26.97 tff(7153,plain,
% 41.32/26.97 (v102(constB56)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7152, 7145])).
% 41.32/26.97 tff(7154,plain,
% 41.32/26.97 (v1(constB56) <=> v1(constB56)),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7155,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 41.32/26.97 tff(7156,plain,
% 41.32/26.97 (v1(constB56)),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7155, 7154])).
% 41.32/26.97 tff(7157,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7158,plain,
% 41.32/26.97 (((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))) <=> ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7159,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56))))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7158])).
% 41.32/26.97 tff(7160,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7159, 7157])).
% 41.32/26.97 tff(7161,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7162,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7161, 7160])).
% 41.32/26.97 tff(7163,plain,
% 41.32/26.97 (v101(constB56) | (~v102(constB56))),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7162, 694, 7133, 7156])).
% 41.32/26.97 tff(7164,plain,
% 41.32/26.97 (v101(constB56)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7163, 7153])).
% 41.32/26.97 tff(7165,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7166,plain,
% 41.32/26.97 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7167,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 41.32/26.97 inference(monotonicity,[status(thm)],[7166])).
% 41.32/26.97 tff(7168,plain,
% 41.32/26.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 41.32/26.97 inference(transitivity,[status(thm)],[7167, 7165])).
% 41.32/26.97 tff(7169,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7170,plain,
% 41.32/26.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7169, 7168])).
% 41.32/26.97 tff(7171,plain,
% 41.32/26.97 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7170, 712, 7133])).
% 41.32/26.97 tff(7172,plain,
% 41.32/26.97 (v100(constB56) | (~v110(constB56))),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7171, 7164])).
% 41.32/26.97 tff(7173,plain,
% 41.32/26.97 (v100(constB56)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7172, 7141])).
% 41.32/26.97 tff(7174,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v90(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v90(constB55, bitIndex2)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7175,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB55)) | (~v90(constB55, bitIndex2)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7176,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB55)) | (~v90(constB55, bitIndex2))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7175, 7174])).
% 41.32/26.97 tff(7177,plain,
% 41.32/26.97 (~v121(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7176, 1336, 7035])).
% 41.32/26.97 tff(7178,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB55)) | (~v90(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB55)) | (~v90(constB55, bitIndex2)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7179,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB55)) | (~v90(constB55, bitIndex2)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7180,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB55)) | (~v90(constB55, bitIndex2))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 41.32/26.97 tff(7181,plain,
% 41.32/26.97 (~v122(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7180, 1347, 7035])).
% 41.32/26.97 tff(7182,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v90(constB55, bitIndex1)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7183,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex1)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7184,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v90(constB55, bitIndex1))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 41.32/26.97 tff(7185,plain,
% 41.32/26.97 (~v119(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7184, 1380, 7066])).
% 41.32/26.97 tff(7186,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB55)) | (~v90(constB55, bitIndex1)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7187,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB55)) | (~v90(constB55, bitIndex1)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7188,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB55)) | (~v90(constB55, bitIndex1))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7187, 7186])).
% 41.32/26.97 tff(7189,plain,
% 41.32/26.97 (~v120(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7188, 1391, 7066])).
% 41.32/26.97 tff(7190,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB55)) | (~v90(constB55, bitIndex1)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7191,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB55)) | (~v90(constB55, bitIndex1)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7192,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB55)) | (~v90(constB55, bitIndex1))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 41.32/26.97 tff(7193,plain,
% 41.32/26.97 (~v124(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7192, 1369, 7066])).
% 41.32/26.97 tff(7194,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB55)) | (~v90(constB55, bitIndex1)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7195,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB55)) | (~v90(constB55, bitIndex1)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7196,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB55)) | (~v90(constB55, bitIndex1))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 41.32/26.97 tff(7197,plain,
% 41.32/26.97 (~v123(constB55)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7196, 1358, 7066])).
% 41.32/26.97 tff(7198,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7199,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))),
% 41.32/26.97 inference(quant_inst,[status(thm)],[])).
% 41.32/26.97 tff(7200,plain,
% 41.32/26.97 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2))),
% 41.32/26.97 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 41.32/26.97 tff(7201,plain,
% 41.32/26.97 (~v130(constB55, bitIndex2)),
% 41.32/26.97 inference(unit_resolution,[status(thm)],[7200, 1405, 7197, 7193, 7189, 7185, 7181, 7177])).
% 41.32/26.97 tff(7202,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7203,plain,
% 41.32/26.97 ((v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2))) <=> ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 41.32/26.97 inference(rewrite,[status(thm)],[])).
% 41.32/26.97 tff(7204,plain,
% 41.32/26.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2)))),
% 41.32/26.98 inference(monotonicity,[status(thm)],[7203])).
% 41.32/26.98 tff(7205,plain,
% 41.32/26.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 41.32/26.98 inference(transitivity,[status(thm)],[7204, 7202])).
% 41.32/26.98 tff(7206,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7207,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2)),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 41.32/26.98 tff(7208,plain,
% 41.32/26.98 ((~v127(constB55, bitIndex2)) | v130(constB55, bitIndex2)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7207, 1419, 7115])).
% 41.32/26.98 tff(7209,plain,
% 41.32/26.98 (~v127(constB55, bitIndex2)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7208, 7201])).
% 41.32/26.98 tff(7210,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7211,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7212,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 41.32/26.98 tff(7213,plain,
% 41.32/26.98 (v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7212, 1437, 7133])).
% 41.32/26.98 tff(7214,plain,
% 41.32/26.98 (~v129(constB56, bitIndex2)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7213, 7209])).
% 41.32/26.98 tff(7215,plain,
% 41.32/26.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7216,plain,
% 41.32/26.98 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7217,plain,
% 41.32/26.98 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7216, 7215])).
% 41.32/26.98 tff(7218,plain,
% 41.32/26.98 ((~v90(constB56, bitIndex2)) | (~v100(constB56))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7217, 1452, 7214])).
% 41.32/26.98 tff(7219,plain,
% 41.32/26.98 (~v90(constB56, bitIndex2)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7218, 7173])).
% 41.32/26.98 tff(7220,plain,
% 41.32/26.98 ((~v1(constB57)) <=> (~v1(constB57))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7221,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 41.32/26.98 tff(7222,plain,
% 41.32/26.98 (~v1(constB57)),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7221, 7220])).
% 41.32/26.98 tff(7223,plain,
% 41.32/26.98 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7224,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 41.32/26.98 tff(7225,plain,
% 41.32/26.98 (nextState(constB56, constB57)),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7224, 7223])).
% 41.32/26.98 tff(7226,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7227,plain,
% 41.32/26.98 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7228,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 41.32/26.98 inference(monotonicity,[status(thm)],[7227])).
% 41.32/26.98 tff(7229,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 41.32/26.98 inference(transitivity,[status(thm)],[7228, 7226])).
% 41.32/26.98 tff(7230,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7231,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7230, 7229])).
% 41.32/26.98 tff(7232,plain,
% 41.32/26.98 (~v101(constB57)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7231, 391, 7225, 7222])).
% 41.32/26.98 tff(7233,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7234,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7235,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7234, 7233])).
% 41.32/26.98 tff(7236,plain,
% 41.32/26.98 (v101(constB57) | (~v100(constB57))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7235, 408, 7225])).
% 41.32/26.98 tff(7237,plain,
% 41.32/26.98 (~v100(constB57)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7236, 7232])).
% 41.32/26.98 tff(7238,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7239,plain,
% 41.32/26.98 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7240,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2))))),
% 41.32/26.98 inference(monotonicity,[status(thm)],[7239])).
% 41.32/26.98 tff(7241,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 41.32/26.98 inference(transitivity,[status(thm)],[7240, 7238])).
% 41.32/26.98 tff(7242,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7243,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 41.32/26.98 tff(7244,plain,
% 41.32/26.98 (v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7243, 423, 7225])).
% 41.32/26.98 tff(7245,plain,
% 41.32/26.98 (v90(constB56, bitIndex2) | (~v90(constB57, bitIndex2))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7244, 7237])).
% 41.32/26.98 tff(7246,plain,
% 41.32/26.98 (~v90(constB57, bitIndex2)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7245, 7219])).
% 41.32/26.98 tff(7247,plain,
% 41.32/26.98 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7248,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7249,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7248, 7247])).
% 41.32/26.98 tff(7250,plain,
% 41.32/26.98 (~v130(constB55, bitIndex1)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7249, 1494, 7197, 7193, 7189, 7185, 7181, 7177])).
% 41.32/26.98 tff(7251,plain,
% 41.32/26.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7252,plain,
% 41.32/26.98 ((v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1))) <=> ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7253,plain,
% 41.32/26.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)))),
% 41.32/26.98 inference(monotonicity,[status(thm)],[7252])).
% 41.32/26.98 tff(7254,plain,
% 41.32/26.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 41.32/26.98 inference(transitivity,[status(thm)],[7253, 7251])).
% 41.32/26.98 tff(7255,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7256,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7255, 7254])).
% 41.32/26.98 tff(7257,plain,
% 41.32/26.98 ((~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7256, 823, 7115])).
% 41.32/26.98 tff(7258,plain,
% 41.32/26.98 (~v127(constB55, bitIndex1)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7257, 7250])).
% 41.32/26.98 tff(7259,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7260,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7261,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7260, 7259])).
% 41.32/26.98 tff(7262,plain,
% 41.32/26.98 (v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7261, 853, 7133])).
% 41.32/26.98 tff(7263,plain,
% 41.32/26.98 (~v129(constB56, bitIndex1)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7262, 7258])).
% 41.32/26.98 tff(7264,plain,
% 41.32/26.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7265,plain,
% 41.32/26.98 (((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7266,plain,
% 41.32/26.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))))),
% 41.32/26.98 inference(monotonicity,[status(thm)],[7265])).
% 41.32/26.98 tff(7267,plain,
% 41.32/26.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 41.32/26.98 inference(transitivity,[status(thm)],[7266, 7264])).
% 41.32/26.98 tff(7268,plain,
% 41.32/26.98 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7269,plain,
% 41.32/26.98 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 41.32/26.98 tff(7270,plain,
% 41.32/26.98 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7269, 868, 7263])).
% 41.32/26.98 tff(7271,plain,
% 41.32/26.98 (~v90(constB56, bitIndex1)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7270, 7173])).
% 41.32/26.98 tff(7272,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7273,plain,
% 41.32/26.98 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7274,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))))),
% 41.32/26.98 inference(monotonicity,[status(thm)],[7273])).
% 41.32/26.98 tff(7275,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 41.32/26.98 inference(transitivity,[status(thm)],[7274, 7272])).
% 41.32/26.98 tff(7276,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7277,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7276, 7275])).
% 41.32/26.98 tff(7278,plain,
% 41.32/26.98 (v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7277, 444, 7225])).
% 41.32/26.98 tff(7279,plain,
% 41.32/26.98 (v90(constB56, bitIndex1) | (~v90(constB57, bitIndex1))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7278, 7237])).
% 41.32/26.98 tff(7280,plain,
% 41.32/26.98 (~v90(constB57, bitIndex1)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7279, 7271])).
% 41.32/26.98 tff(7281,plain,
% 41.32/26.98 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7282,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7283,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0)),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 41.32/26.98 tff(7284,plain,
% 41.32/26.98 (v130(constB55, bitIndex0)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7283, 1538, 7197, 7193, 7189, 7185, 7181, 7177])).
% 41.32/26.98 tff(7285,plain,
% 41.32/26.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7286,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7287,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 41.32/26.98 tff(7288,plain,
% 41.32/26.98 ((~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7287, 1552, 7115])).
% 41.32/26.98 tff(7289,plain,
% 41.32/26.98 (v127(constB55, bitIndex0)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7288, 7284])).
% 41.32/26.98 tff(7290,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7291,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7292,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7291, 7290])).
% 41.32/26.98 tff(7293,plain,
% 41.32/26.98 ((~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7292, 1567, 7133])).
% 41.32/26.98 tff(7294,plain,
% 41.32/26.98 (v129(constB56, bitIndex0)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7293, 7289])).
% 41.32/26.98 tff(7295,plain,
% 41.32/26.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7296,plain,
% 41.32/26.98 ((v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7297,plain,
% 41.32/26.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56))))),
% 41.32/26.98 inference(monotonicity,[status(thm)],[7296])).
% 41.32/26.98 tff(7298,plain,
% 41.32/26.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 41.32/26.98 inference(transitivity,[status(thm)],[7297, 7295])).
% 41.32/26.98 tff(7299,plain,
% 41.32/26.98 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7300,plain,
% 41.32/26.98 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56))),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7299, 7298])).
% 41.32/26.98 tff(7301,plain,
% 41.32/26.98 (v90(constB56, bitIndex0) | (~v100(constB56))),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7300, 1582, 7294])).
% 41.32/26.98 tff(7302,plain,
% 41.32/26.98 (v90(constB56, bitIndex0)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7301, 7173])).
% 41.32/26.98 tff(7303,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7304,plain,
% 41.32/26.98 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7305,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0)))),
% 41.32/26.98 inference(monotonicity,[status(thm)],[7304])).
% 41.32/26.98 tff(7306,plain,
% 41.32/26.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 41.32/26.98 inference(transitivity,[status(thm)],[7305, 7303])).
% 41.32/26.98 tff(7307,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7308,plain,
% 41.32/26.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0)),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7307, 7306])).
% 41.32/26.98 tff(7309,plain,
% 41.32/26.98 ((~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7308, 1600, 7225])).
% 41.32/26.98 tff(7310,plain,
% 41.32/26.98 ((~v90(constB56, bitIndex0)) | v90(constB57, bitIndex0)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7309, 7237])).
% 41.32/26.98 tff(7311,plain,
% 41.32/26.98 (v90(constB57, bitIndex0)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7310, 7302])).
% 41.32/26.98 tff(7312,plain,
% 41.32/26.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 41.32/26.98 inference(rewrite,[status(thm)],[])).
% 41.32/26.98 tff(7313,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 41.32/26.98 inference(quant_inst,[status(thm)],[])).
% 41.32/26.98 tff(7314,plain,
% 41.32/26.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57)),
% 41.32/26.98 inference(modus_ponens,[status(thm)],[7313, 7312])).
% 41.32/26.98 tff(7315,plain,
% 41.32/26.98 (v120(constB57)),
% 41.32/26.98 inference(unit_resolution,[status(thm)],[7314, 1619, 7311, 7280, 7246])).
% 41.32/26.99 tff(7316,plain,
% 41.32/26.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v130(constB57, bitIndex2)))),
% 41.32/26.99 inference(rewrite,[status(thm)],[])).
% 41.32/26.99 tff(7317,plain,
% 41.32/26.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex2)))),
% 41.32/26.99 inference(quant_inst,[status(thm)],[])).
% 41.32/26.99 tff(7318,plain,
% 41.32/26.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v130(constB57, bitIndex2))),
% 41.32/26.99 inference(modus_ponens,[status(thm)],[7317, 7316])).
% 41.32/26.99 tff(7319,plain,
% 41.32/26.99 (~v130(constB57, bitIndex2)),
% 41.32/26.99 inference(unit_resolution,[status(thm)],[7318, 1732, 7315])).
% 41.32/26.99 tff(7320,assumption,(v26(constB57)), introduced(assumption)).
% 41.32/26.99 tff(7321,plain,
% 41.32/26.99 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 41.32/26.99 inference(quant_inst,[status(thm)],[])).
% 41.32/26.99 tff(7322,plain,
% 41.32/26.99 ($false),
% 41.32/26.99 inference(unit_resolution,[status(thm)],[7321, 95, 7320])).
% 41.32/26.99 tff(7323,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 41.32/26.99 tff(7324,plain,
% 41.32/26.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 41.32/26.99 inference(rewrite,[status(thm)],[])).
% 41.32/26.99 tff(7325,plain,
% 41.32/26.99 ((v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2))) <=> ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 41.32/26.99 inference(rewrite,[status(thm)],[])).
% 41.32/26.99 tff(7326,plain,
% 41.32/26.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2)))),
% 41.32/26.99 inference(monotonicity,[status(thm)],[7325])).
% 41.32/26.99 tff(7327,plain,
% 41.32/26.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 41.32/26.99 inference(transitivity,[status(thm)],[7326, 7324])).
% 41.32/26.99 tff(7328,plain,
% 41.32/26.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))),
% 41.32/26.99 inference(quant_inst,[status(thm)],[])).
% 41.32/26.99 tff(7329,plain,
% 41.32/26.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2)),
% 41.32/26.99 inference(modus_ponens,[status(thm)],[7328, 7327])).
% 41.32/26.99 tff(7330,plain,
% 41.32/26.99 ((~v127(constB57, bitIndex2)) | v130(constB57, bitIndex2)),
% 41.32/26.99 inference(unit_resolution,[status(thm)],[7329, 1419, 7323])).
% 41.32/26.99 tff(7331,plain,
% 41.32/26.99 (~v127(constB57, bitIndex2)),
% 41.32/26.99 inference(unit_resolution,[status(thm)],[7330, 7319])).
% 41.32/26.99 tff(7332,plain,
% 41.32/26.99 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 41.32/26.99 inference(rewrite,[status(thm)],[])).
% 41.32/26.99 tff(7333,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 41.32/26.99 tff(7334,plain,
% 41.32/26.99 (nextState(constB57, constB58)),
% 41.32/26.99 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 41.32/26.99 tff(7335,plain,
% 41.32/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))),
% 41.32/26.99 inference(rewrite,[status(thm)],[])).
% 41.32/26.99 tff(7336,plain,
% 41.32/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))),
% 41.32/26.99 inference(quant_inst,[status(thm)],[])).
% 41.32/26.99 tff(7337,plain,
% 41.32/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 41.32/26.99 inference(modus_ponens,[status(thm)],[7336, 7335])).
% 41.32/26.99 tff(7338,plain,
% 41.32/26.99 (v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 41.32/26.99 inference(unit_resolution,[status(thm)],[7337, 1437, 7334])).
% 41.32/26.99 tff(7339,plain,
% 41.32/26.99 (~v129(constB58, bitIndex2)),
% 41.32/26.99 inference(unit_resolution,[status(thm)],[7338, 7331])).
% 41.32/26.99 tff(7340,assumption,(~v100(constB58)), introduced(assumption)).
% 41.32/26.99 tff(7341,plain,
% 41.32/26.99 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 41.32/26.99 inference(rewrite,[status(thm)],[])).
% 41.32/26.99 tff(7342,plain,
% 41.32/26.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 41.32/26.99 inference(quant_inst,[status(thm)],[])).
% 41.32/26.99 tff(7343,plain,
% 41.32/26.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 41.32/26.99 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 41.32/26.99 tff(7344,plain,
% 41.32/26.99 (~v104(constB58)),
% 41.32/26.99 inference(unit_resolution,[status(thm)],[7343, 659, 7334, 7222])).
% 41.32/26.99 tff(7345,plain,
% 41.32/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 41.32/26.99 inference(rewrite,[status(thm)],[])).
% 41.32/26.99 tff(7346,plain,
% 41.32/26.99 (((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)) <=> ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 41.32/26.99 inference(rewrite,[status(thm)],[])).
% 41.32/26.99 tff(7347,plain,
% 41.32/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58)))),
% 41.32/26.99 inference(monotonicity,[status(thm)],[7346])).
% 41.32/26.99 tff(7348,plain,
% 41.32/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 41.32/26.99 inference(transitivity,[status(thm)],[7347, 7345])).
% 41.32/26.99 tff(7349,plain,
% 41.32/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7350,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58)),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7349, 7348])).
% 41.39/26.99 tff(7351,plain,
% 41.39/26.99 (v104(constB58) | v102(constB58)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7350, 673, 7334])).
% 41.39/26.99 tff(7352,plain,
% 41.39/26.99 (v102(constB58)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7351, 7344])).
% 41.39/26.99 tff(7353,plain,
% 41.39/26.99 (v1(constB58) <=> v1(constB58)),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7354,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 41.39/26.99 tff(7355,plain,
% 41.39/26.99 (v1(constB58)),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7354, 7353])).
% 41.39/26.99 tff(7356,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7357,plain,
% 41.39/26.99 (((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))) <=> ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7358,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58))))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7357])).
% 41.39/26.99 tff(7359,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7358, 7356])).
% 41.39/26.99 tff(7360,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7361,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58))),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7360, 7359])).
% 41.39/26.99 tff(7362,plain,
% 41.39/26.99 (v101(constB58) | (~v102(constB58))),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7361, 694, 7334, 7355])).
% 41.39/26.99 tff(7363,plain,
% 41.39/26.99 (v101(constB58)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7362, 7352])).
% 41.39/26.99 tff(7364,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7365,plain,
% 41.39/26.99 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7366,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7365])).
% 41.39/26.99 tff(7367,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7366, 7364])).
% 41.39/26.99 tff(7368,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7369,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7368, 7367])).
% 41.39/26.99 tff(7370,plain,
% 41.39/26.99 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7369, 712, 7334])).
% 41.39/26.99 tff(7371,plain,
% 41.39/26.99 (v100(constB58) | (~v110(constB58))),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7370, 7363])).
% 41.39/26.99 tff(7372,plain,
% 41.39/26.99 (~v110(constB58)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7371, 7340])).
% 41.39/26.99 tff(7373,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7374,plain,
% 41.39/26.99 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7375,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7374])).
% 41.39/26.99 tff(7376,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7375, 7373])).
% 41.39/26.99 tff(7377,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7378,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7377, 7376])).
% 41.39/26.99 tff(7379,plain,
% 41.39/26.99 (v110(constB58) | (~v108(constB57))),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7378, 731, 7334])).
% 41.39/26.99 tff(7380,plain,
% 41.39/26.99 (~v108(constB57)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7379, 7372])).
% 41.39/26.99 tff(7381,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7382,plain,
% 41.39/26.99 (((~v112(constB57)) | v108(constB57)) <=> (v108(constB57) | (~v112(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7383,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57))))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7382])).
% 41.39/26.99 tff(7384,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7383, 7381])).
% 41.39/26.99 tff(7385,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7386,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57))),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 41.39/26.99 tff(7387,plain,
% 41.39/26.99 (~v112(constB57)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7386, 746, 7380])).
% 41.39/26.99 tff(7388,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7389,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7390,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57)),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7389, 7388])).
% 41.39/26.99 tff(7391,plain,
% 41.39/26.99 ((~v113(constB57)) | v112(constB57)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7390, 581, 7323])).
% 41.39/26.99 tff(7392,plain,
% 41.39/26.99 (~v113(constB57)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7391, 7387])).
% 41.39/26.99 tff(7393,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7394,plain,
% 41.39/26.99 (((~v114(constB57)) | v113(constB57)) <=> (v113(constB57) | (~v114(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7395,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57))))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7394])).
% 41.39/26.99 tff(7396,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7395, 7393])).
% 41.39/26.99 tff(7397,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7398,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57))),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7397, 7396])).
% 41.39/26.99 tff(7399,plain,
% 41.39/26.99 (~v114(constB57)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7398, 567, 7392])).
% 41.39/26.99 tff(7400,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7401,plain,
% 41.39/26.99 (((~v115(constB57)) | v114(constB57)) <=> (v114(constB57) | (~v115(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7402,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57))))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7401])).
% 41.39/26.99 tff(7403,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7402, 7400])).
% 41.39/26.99 tff(7404,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7405,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57))),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7404, 7403])).
% 41.39/26.99 tff(7406,plain,
% 41.39/26.99 (~v115(constB57)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7405, 553, 7399])).
% 41.39/26.99 tff(7407,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB57)) | v115(constB57))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7408,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB57)) | v115(constB57))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7409,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB57)) | v115(constB57)),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7408, 7407])).
% 41.39/26.99 tff(7410,plain,
% 41.39/26.99 (~v116(constB57)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7409, 539, 7406])).
% 41.39/26.99 tff(7411,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB57)) | v116(constB57))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB57)) | v116(constB57))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7412,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB57)) | v116(constB57))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7413,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB57)) | v116(constB57)),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7412, 7411])).
% 41.39/26.99 tff(7414,plain,
% 41.39/26.99 (~v117(constB57)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7413, 525, 7410])).
% 41.39/26.99 tff(7415,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB57) | (~v121(constB57)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB57) | (~v121(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7416,plain,
% 41.39/26.99 (((~v121(constB57)) | v117(constB57)) <=> (v117(constB57) | (~v121(constB57)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7417,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB57)) | v117(constB57))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB57) | (~v121(constB57))))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7416])).
% 41.39/26.99 tff(7418,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB57)) | v117(constB57))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB57) | (~v121(constB57)))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7417, 7415])).
% 41.39/26.99 tff(7419,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB57)) | v117(constB57))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7420,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB57) | (~v121(constB57))),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7419, 7418])).
% 41.39/26.99 tff(7421,plain,
% 41.39/26.99 (~v121(constB57)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7420, 1881, 7414])).
% 41.39/26.99 tff(7422,assumption,(~v90(constB57, bitIndex2)), introduced(assumption)).
% 41.39/26.99 tff(7423,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7424,plain,
% 41.39/26.99 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))) <=> (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7425,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7424])).
% 41.39/26.99 tff(7426,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7425, 7423])).
% 41.39/26.99 tff(7427,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7428,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7427, 7426])).
% 41.39/26.99 tff(7429,plain,
% 41.39/26.99 (v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7428, 423, 7334])).
% 41.39/26.99 tff(7430,plain,
% 41.39/26.99 (~v90(constB58, bitIndex2)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7429, 7340, 7422])).
% 41.39/26.99 tff(7431,assumption,(~v90(constB58, bitIndex1)), introduced(assumption)).
% 41.39/26.99 tff(7432,assumption,(~v90(constB58, bitIndex2)), introduced(assumption)).
% 41.39/26.99 tff(7433,assumption,(~v90(constB58, bitIndex0)), introduced(assumption)).
% 41.39/26.99 tff(7434,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7435,plain,
% 41.39/26.99 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1)) <=> ((~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7436,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1)))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7435])).
% 41.39/26.99 tff(7437,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7436, 7434])).
% 41.39/26.99 tff(7438,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7439,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1)),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7438, 7437])).
% 41.39/26.99 tff(7440,plain,
% 41.39/26.99 ((~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7439, 1192, 7334])).
% 41.39/26.99 tff(7441,plain,
% 41.39/26.99 (~v90(constB57, bitIndex1)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7440, 7340, 7431])).
% 41.39/26.99 tff(7442,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7443,plain,
% 41.39/26.99 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0)) <=> ((~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7444,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0)))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7443])).
% 41.39/26.99 tff(7445,plain,
% 41.39/26.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7444, 7442])).
% 41.39/26.99 tff(7446,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7447,plain,
% 41.39/26.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0)),
% 41.39/26.99 inference(modus_ponens,[status(thm)],[7446, 7445])).
% 41.39/26.99 tff(7448,plain,
% 41.39/26.99 ((~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7447, 1600, 7334])).
% 41.39/26.99 tff(7449,plain,
% 41.39/26.99 (~v90(constB57, bitIndex0)),
% 41.39/26.99 inference(unit_resolution,[status(thm)],[7448, 7340, 7433])).
% 41.39/26.99 tff(7450,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v119(constB57))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v119(constB57))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7451,plain,
% 41.39/26.99 ((v90(constB57, bitIndex0) | v119(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2)) <=> (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v119(constB57))),
% 41.39/26.99 inference(rewrite,[status(thm)],[])).
% 41.39/26.99 tff(7452,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB57, bitIndex0) | v119(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v119(constB57)))),
% 41.39/26.99 inference(monotonicity,[status(thm)],[7451])).
% 41.39/26.99 tff(7453,plain,
% 41.39/26.99 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB57, bitIndex0) | v119(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v119(constB57))),
% 41.39/26.99 inference(transitivity,[status(thm)],[7452, 7450])).
% 41.39/26.99 tff(7454,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB57, bitIndex0) | v119(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 41.39/26.99 inference(quant_inst,[status(thm)],[])).
% 41.39/26.99 tff(7455,plain,
% 41.39/26.99 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v119(constB57)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 41.39/27.00 tff(7456,plain,
% 41.39/27.00 (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v119(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7455, 486, 7422])).
% 41.39/27.00 tff(7457,plain,
% 41.39/27.00 (v119(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7456, 7449, 7441])).
% 41.39/27.00 tff(7458,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB57) | (~v119(constB57)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB57) | (~v119(constB57)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7459,plain,
% 41.39/27.00 (((~v119(constB57)) | v118(constB57)) <=> (v118(constB57) | (~v119(constB57)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7460,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB57)) | v118(constB57))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB57) | (~v119(constB57))))),
% 41.39/27.00 inference(monotonicity,[status(thm)],[7459])).
% 41.39/27.00 tff(7461,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB57)) | v118(constB57))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB57) | (~v119(constB57)))),
% 41.39/27.00 inference(transitivity,[status(thm)],[7460, 7458])).
% 41.39/27.00 tff(7462,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB57)) | v118(constB57))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7463,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB57) | (~v119(constB57))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 41.39/27.00 tff(7464,plain,
% 41.39/27.00 (v118(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7463, 500, 7457])).
% 41.39/27.00 tff(7465,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB57) | (~v118(constB57)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB57) | (~v118(constB57)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7466,plain,
% 41.39/27.00 (((~v118(constB57)) | v117(constB57)) <=> (v117(constB57) | (~v118(constB57)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7467,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB57)) | v117(constB57))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB57) | (~v118(constB57))))),
% 41.39/27.00 inference(monotonicity,[status(thm)],[7466])).
% 41.39/27.00 tff(7468,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB57)) | v117(constB57))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB57) | (~v118(constB57)))),
% 41.39/27.00 inference(transitivity,[status(thm)],[7467, 7465])).
% 41.39/27.00 tff(7469,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB57)) | v117(constB57))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7470,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB57) | (~v118(constB57))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7469, 7468])).
% 41.39/27.00 tff(7471,plain,
% 41.39/27.00 (v117(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7470, 511, 7464])).
% 41.39/27.00 tff(7472,plain,
% 41.39/27.00 (v116(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7413, 525, 7471])).
% 41.39/27.00 tff(7473,plain,
% 41.39/27.00 (v115(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7409, 539, 7472])).
% 41.39/27.00 tff(7474,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v26(constB57)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v26(constB57)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7475,plain,
% 41.39/27.00 (((~v26(constB57)) | v108(constB57)) <=> (v108(constB57) | (~v26(constB57)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7476,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v26(constB57))))),
% 41.39/27.00 inference(monotonicity,[status(thm)],[7475])).
% 41.39/27.00 tff(7477,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v26(constB57)))),
% 41.39/27.00 inference(transitivity,[status(thm)],[7476, 7474])).
% 41.39/27.00 tff(7478,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB57)) | v108(constB57))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7479,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v26(constB57))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 41.39/27.00 tff(7480,plain,
% 41.39/27.00 (~v26(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7479, 1925, 7380])).
% 41.39/27.00 tff(7481,plain,
% 41.39/27.00 (~v113(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7390, 581, 7480, 7387])).
% 41.39/27.00 tff(7482,plain,
% 41.39/27.00 (~v114(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7398, 567, 7481])).
% 41.39/27.00 tff(7483,plain,
% 41.39/27.00 ($false),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7405, 553, 7482, 7473])).
% 41.39/27.00 tff(7484,plain,(v100(constB58) | v90(constB57, bitIndex2) | v90(constB58, bitIndex0) | v90(constB58, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 41.39/27.00 tff(7485,plain,
% 41.39/27.00 (v100(constB58)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7484, 7422, 7433, 7431])).
% 41.39/27.00 tff(7486,plain,
% 41.39/27.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7487,plain,
% 41.39/27.00 ((v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7488,plain,
% 41.39/27.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))))),
% 41.39/27.00 inference(monotonicity,[status(thm)],[7487])).
% 41.39/27.00 tff(7489,plain,
% 41.39/27.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 41.39/27.00 inference(transitivity,[status(thm)],[7488, 7486])).
% 41.39/27.00 tff(7490,plain,
% 41.39/27.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7491,plain,
% 41.39/27.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7490, 7489])).
% 41.39/27.00 tff(7492,plain,
% 41.39/27.00 ((~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7491, 641, 7432])).
% 41.39/27.00 tff(7493,plain,
% 41.39/27.00 (~v129(constB58, bitIndex2)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7492, 7485])).
% 41.39/27.00 tff(7494,plain,
% 41.39/27.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7495,plain,
% 41.39/27.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7496,plain,
% 41.39/27.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7495, 7494])).
% 41.39/27.00 tff(7497,plain,
% 41.39/27.00 ((~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7496, 625, 7334])).
% 41.39/27.00 tff(7498,plain,
% 41.39/27.00 (~v127(constB57, bitIndex2)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7497, 7493])).
% 41.39/27.00 tff(7499,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7500,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7501,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 41.39/27.00 tff(7502,plain,
% 41.39/27.00 ((~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7501, 607, 7323])).
% 41.39/27.00 tff(7503,plain,
% 41.39/27.00 (~v130(constB57, bitIndex2)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7502, 7498])).
% 41.39/27.00 tff(7504,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB57)) | v130(constB57, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7505,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB57)) | v130(constB57, bitIndex2))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7506,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB57)) | v130(constB57, bitIndex2)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 41.39/27.00 tff(7507,plain,
% 41.39/27.00 (~v119(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7506, 593, 7503])).
% 41.39/27.00 tff(7508,plain,
% 41.39/27.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7509,plain,
% 41.39/27.00 ((v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7510,plain,
% 41.39/27.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58))))),
% 41.39/27.00 inference(monotonicity,[status(thm)],[7509])).
% 41.39/27.00 tff(7511,plain,
% 41.39/27.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 41.39/27.00 inference(transitivity,[status(thm)],[7510, 7508])).
% 41.39/27.00 tff(7512,plain,
% 41.39/27.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7513,plain,
% 41.39/27.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7512, 7511])).
% 41.39/27.00 tff(7514,plain,
% 41.39/27.00 ((~v129(constB58, bitIndex1)) | (~v100(constB58))),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7513, 1174, 7431])).
% 41.39/27.00 tff(7515,plain,
% 41.39/27.00 (~v129(constB58, bitIndex1)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7514, 7485])).
% 41.39/27.00 tff(7516,plain,
% 41.39/27.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7517,plain,
% 41.39/27.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7518,plain,
% 41.39/27.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7517, 7516])).
% 41.39/27.00 tff(7519,plain,
% 41.39/27.00 ((~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7518, 1159, 7334])).
% 41.39/27.00 tff(7520,plain,
% 41.39/27.00 (~v127(constB57, bitIndex1)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7519, 7515])).
% 41.39/27.00 tff(7521,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7522,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7523,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7522, 7521])).
% 41.39/27.00 tff(7524,plain,
% 41.39/27.00 ((~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7523, 1144, 7323])).
% 41.39/27.00 tff(7525,plain,
% 41.39/27.00 (~v130(constB57, bitIndex1)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7524, 7520])).
% 41.39/27.00 tff(7526,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7527,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7528,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7527, 7526])).
% 41.39/27.00 tff(7529,plain,
% 41.39/27.00 (~v120(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7528, 1788, 7525])).
% 41.39/27.00 tff(7530,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB57)) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB57)) | v130(constB57, bitIndex1))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7531,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB57)) | v130(constB57, bitIndex1))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7532,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB57)) | v130(constB57, bitIndex1)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7531, 7530])).
% 41.39/27.00 tff(7533,plain,
% 41.39/27.00 (~v121(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7532, 2050, 7525])).
% 41.39/27.00 tff(7534,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB57)) | v130(constB57, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7535,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB57)) | v130(constB57, bitIndex2))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7536,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB57)) | v130(constB57, bitIndex2)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7535, 7534])).
% 41.39/27.00 tff(7537,plain,
% 41.39/27.00 (~v122(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7536, 2224, 7503])).
% 41.39/27.00 tff(7538,plain,
% 41.39/27.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7539,plain,
% 41.39/27.00 ((v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7540,plain,
% 41.39/27.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))))),
% 41.39/27.00 inference(monotonicity,[status(thm)],[7539])).
% 41.39/27.00 tff(7541,plain,
% 41.39/27.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 41.39/27.00 inference(transitivity,[status(thm)],[7540, 7538])).
% 41.39/27.00 tff(7542,plain,
% 41.39/27.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7543,plain,
% 41.39/27.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7542, 7541])).
% 41.39/27.00 tff(7544,plain,
% 41.39/27.00 ((~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7543, 1582, 7433])).
% 41.39/27.00 tff(7545,plain,
% 41.39/27.00 (~v129(constB58, bitIndex0)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7544, 7485])).
% 41.39/27.00 tff(7546,plain,
% 41.39/27.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7547,plain,
% 41.39/27.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7548,plain,
% 41.39/27.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7547, 7546])).
% 41.39/27.00 tff(7549,plain,
% 41.39/27.00 ((~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7548, 1567, 7334])).
% 41.39/27.00 tff(7550,plain,
% 41.39/27.00 (~v127(constB57, bitIndex0)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7549, 7545])).
% 41.39/27.00 tff(7551,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7552,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7553,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7552, 7551])).
% 41.39/27.00 tff(7554,plain,
% 41.39/27.00 ((~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7553, 1552, 7323])).
% 41.39/27.00 tff(7555,plain,
% 41.39/27.00 (~v130(constB57, bitIndex0)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7554, 7550])).
% 41.39/27.00 tff(7556,plain,
% 41.39/27.00 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(bind,[status(th)],[])).
% 41.39/27.00 tff(7557,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(quant_intro,[status(thm)],[7556])).
% 41.39/27.00 tff(7558,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7559,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 41.39/27.00 tff(7560,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7559, 7558])).
% 41.39/27.00 tff(7561,plain,(
% 41.39/27.00 ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(skolemize,[status(sab)],[7560])).
% 41.39/27.00 tff(7562,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7561, 7557])).
% 41.39/27.00 tff(7563,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v123(constB57)) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v123(constB57)) | v90(constB57, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7564,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v123(constB57)) | v90(constB57, bitIndex2))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7565,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v123(constB57)) | v90(constB57, bitIndex2)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7564, 7563])).
% 41.39/27.00 tff(7566,plain,
% 41.39/27.00 (~v123(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7565, 7562, 7422])).
% 41.39/27.00 tff(7567,plain,
% 41.39/27.00 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ((~v124(VarCurr)) | v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(bind,[status(th)],[])).
% 41.39/27.00 tff(7568,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(quant_intro,[status(thm)],[7567])).
% 41.39/27.00 tff(7569,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7570,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 41.39/27.00 tff(7571,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7570, 7569])).
% 41.39/27.00 tff(7572,plain,(
% 41.39/27.00 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(skolemize,[status(sab)],[7571])).
% 41.39/27.00 tff(7573,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7572, 7568])).
% 41.39/27.00 tff(7574,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB57)) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB57)) | v90(constB57, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7575,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB57)) | v90(constB57, bitIndex2))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7576,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB57)) | v90(constB57, bitIndex2)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7575, 7574])).
% 41.39/27.00 tff(7577,plain,
% 41.39/27.00 (~v124(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7576, 7573, 7422])).
% 41.39/27.00 tff(7578,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7579,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7580,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0)),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7579, 7578])).
% 41.39/27.00 tff(7581,plain,
% 41.39/27.00 ($false),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7580, 1538, 7577, 7566, 7555, 7537, 7533, 7529, 7507])).
% 41.39/27.00 tff(7582,plain,(v90(constB57, bitIndex2) | v90(constB58, bitIndex0) | v90(constB58, bitIndex1) | v90(constB58, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.39/27.00 tff(7583,plain,
% 41.39/27.00 (v90(constB57, bitIndex2)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7582, 7433, 7431, 7432])).
% 41.39/27.00 tff(7584,plain,
% 41.39/27.00 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 41.39/27.00 inference(bind,[status(th)],[])).
% 41.39/27.00 tff(7585,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(quant_intro,[status(thm)],[7584])).
% 41.39/27.00 tff(7586,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7587,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 41.39/27.00 tff(7588,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7587, 7586])).
% 41.39/27.00 tff(7589,plain,(
% 41.39/27.00 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(skolemize,[status(sab)],[7588])).
% 41.39/27.00 tff(7590,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7589, 7585])).
% 41.39/27.00 tff(7591,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB57)) | (~v90(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB57)) | (~v90(constB57, bitIndex2)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7592,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB57)) | (~v90(constB57, bitIndex2)))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7593,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB57)) | (~v90(constB57, bitIndex2))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7592, 7591])).
% 41.39/27.00 tff(7594,plain,
% 41.39/27.00 (~v119(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7593, 7590, 7583])).
% 41.39/27.00 tff(7595,plain,
% 41.39/27.00 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 41.39/27.00 inference(bind,[status(th)],[])).
% 41.39/27.00 tff(7596,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(quant_intro,[status(thm)],[7595])).
% 41.39/27.00 tff(7597,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7598,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 41.39/27.00 tff(7599,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7598, 7597])).
% 41.39/27.00 tff(7600,plain,(
% 41.39/27.00 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(skolemize,[status(sab)],[7599])).
% 41.39/27.00 tff(7601,plain,
% 41.39/27.00 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7600, 7596])).
% 41.39/27.00 tff(7602,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v90(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v90(constB57, bitIndex2)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7603,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v90(constB57, bitIndex2)))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7604,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v90(constB57, bitIndex2))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7603, 7602])).
% 41.39/27.00 tff(7605,plain,
% 41.39/27.00 (~v120(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7604, 7601, 7583])).
% 41.39/27.00 tff(7606,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB57)) | (~v90(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB57)) | (~v90(constB57, bitIndex2)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7607,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB57)) | (~v90(constB57, bitIndex2)))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7608,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB57)) | (~v90(constB57, bitIndex2))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7607, 7606])).
% 41.39/27.00 tff(7609,plain,
% 41.39/27.00 (~v121(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7608, 1336, 7583])).
% 41.39/27.00 tff(7610,plain,
% 41.39/27.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB57)) | (~v90(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB57)) | (~v90(constB57, bitIndex2)))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7611,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB57)) | (~v90(constB57, bitIndex2)))),
% 41.39/27.00 inference(quant_inst,[status(thm)],[])).
% 41.39/27.00 tff(7612,plain,
% 41.39/27.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB57)) | (~v90(constB57, bitIndex2))),
% 41.39/27.00 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 41.39/27.00 tff(7613,plain,
% 41.39/27.00 (~v122(constB57)),
% 41.39/27.00 inference(unit_resolution,[status(thm)],[7612, 1347, 7583])).
% 41.39/27.00 tff(7614,plain,
% 41.39/27.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7615,plain,
% 41.39/27.00 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)) <=> ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 41.39/27.00 inference(rewrite,[status(thm)],[])).
% 41.39/27.00 tff(7616,plain,
% 41.39/27.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)))),
% 41.39/27.00 inference(monotonicity,[status(thm)],[7615])).
% 41.39/27.00 tff(7617,plain,
% 41.39/27.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 41.39/27.01 inference(transitivity,[status(thm)],[7616, 7614])).
% 41.39/27.01 tff(7618,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7619,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7618, 7617])).
% 41.39/27.01 tff(7620,plain,
% 41.39/27.01 ((~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7619, 783, 7334])).
% 41.39/27.01 tff(7621,plain,
% 41.39/27.01 (v100(constB58)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7620, 7583, 7432])).
% 41.39/27.01 tff(7622,plain,
% 41.39/27.01 (~v129(constB58, bitIndex0)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7544, 7621])).
% 41.39/27.01 tff(7623,plain,
% 41.39/27.01 (~v127(constB57, bitIndex0)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7549, 7622])).
% 41.39/27.01 tff(7624,plain,
% 41.39/27.01 (~v130(constB57, bitIndex0)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7554, 7623])).
% 41.39/27.01 tff(7625,plain,
% 41.39/27.01 (~v129(constB58, bitIndex2)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7492, 7621])).
% 41.39/27.01 tff(7626,plain,
% 41.39/27.01 (~v127(constB57, bitIndex2)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7497, 7625])).
% 41.39/27.01 tff(7627,plain,
% 41.39/27.01 (~v130(constB57, bitIndex2)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7502, 7626])).
% 41.39/27.01 tff(7628,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7629,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7630,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2)),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7629, 7628])).
% 41.39/27.01 tff(7631,plain,
% 41.39/27.01 (~v123(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7630, 1074, 7627])).
% 41.39/27.01 tff(7632,plain,
% 41.39/27.01 (~v129(constB58, bitIndex1)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7514, 7621])).
% 41.39/27.01 tff(7633,plain,
% 41.39/27.01 (~v127(constB57, bitIndex1)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7519, 7632])).
% 41.39/27.01 tff(7634,plain,
% 41.39/27.01 (~v130(constB57, bitIndex1)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7524, 7633])).
% 41.39/27.01 tff(7635,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7636,plain,
% 41.39/27.01 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7635])).
% 41.39/27.01 tff(7637,plain,
% 41.39/27.01 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7638,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 41.39/27.01 tff(7639,plain,
% 41.39/27.01 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7638, 7637])).
% 41.39/27.01 tff(7640,plain,(
% 41.39/27.01 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 41.39/27.01 inference(skolemize,[status(sab)],[7639])).
% 41.39/27.01 tff(7641,plain,
% 41.39/27.01 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7640, 7636])).
% 41.39/27.01 tff(7642,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB57)) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB57)) | v130(constB57, bitIndex1))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7643,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB57)) | v130(constB57, bitIndex1))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7644,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB57)) | v130(constB57, bitIndex1)),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7643, 7642])).
% 41.39/27.01 tff(7645,plain,
% 41.39/27.01 (~v124(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7644, 7641, 7634])).
% 41.39/27.01 tff(7646,plain,
% 41.39/27.01 ($false),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7580, 1538, 7645, 7631, 7624, 7613, 7609, 7605, 7594])).
% 41.39/27.01 tff(7647,plain,(v90(constB58, bitIndex0) | v90(constB58, bitIndex1) | v90(constB58, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.39/27.01 tff(7648,plain,
% 41.39/27.01 (v90(constB58, bitIndex0)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7647, 7431, 7432])).
% 41.39/27.01 tff(7649,assumption,(v90(constB58, bitIndex0)), introduced(assumption)).
% 41.39/27.01 tff(7650,plain,
% 41.39/27.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7651,plain,
% 41.39/27.01 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0))) <=> (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7652,plain,
% 41.39/27.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0))))),
% 41.39/27.01 inference(monotonicity,[status(thm)],[7651])).
% 41.39/27.01 tff(7653,plain,
% 41.39/27.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 41.39/27.01 inference(transitivity,[status(thm)],[7652, 7650])).
% 41.39/27.01 tff(7654,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7655,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 41.39/27.01 tff(7656,plain,
% 41.39/27.01 (v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0))),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7655, 465, 7334])).
% 41.39/27.01 tff(7657,plain,
% 41.39/27.01 (v90(constB57, bitIndex0)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7656, 7340, 7649])).
% 41.39/27.01 tff(7658,plain,
% 41.39/27.01 ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v120(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7314, 1619, 7422])).
% 41.39/27.01 tff(7659,plain,
% 41.39/27.01 (v120(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7658, 7657, 7441])).
% 41.39/27.01 tff(7660,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB57) | (~v120(constB57)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB57) | (~v120(constB57)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7661,plain,
% 41.39/27.01 (((~v120(constB57)) | v118(constB57)) <=> (v118(constB57) | (~v120(constB57)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7662,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB57)) | v118(constB57))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB57) | (~v120(constB57))))),
% 41.39/27.01 inference(monotonicity,[status(thm)],[7661])).
% 41.39/27.01 tff(7663,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB57)) | v118(constB57))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB57) | (~v120(constB57)))),
% 41.39/27.01 inference(transitivity,[status(thm)],[7662, 7660])).
% 41.39/27.01 tff(7664,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB57)) | v118(constB57))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7665,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB57) | (~v120(constB57))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7664, 7663])).
% 41.39/27.01 tff(7666,plain,
% 41.39/27.01 (v118(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7665, 1630, 7659])).
% 41.39/27.01 tff(7667,plain,
% 41.39/27.01 (v117(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7470, 511, 7666])).
% 41.39/27.01 tff(7668,plain,
% 41.39/27.01 (v116(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7413, 525, 7667])).
% 41.39/27.01 tff(7669,plain,
% 41.39/27.01 ($false),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7409, 539, 7406, 7668])).
% 41.39/27.01 tff(7670,plain,(v100(constB58) | v90(constB57, bitIndex2) | (~v90(constB58, bitIndex0)) | v90(constB58, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 41.39/27.01 tff(7671,plain,
% 41.39/27.01 (v100(constB58)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7670, 7422, 7649, 7431])).
% 41.39/27.01 tff(7672,plain,
% 41.39/27.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7673,plain,
% 41.39/27.01 (((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0)) <=> ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7674,plain,
% 41.39/27.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58))))),
% 41.39/27.01 inference(monotonicity,[status(thm)],[7673])).
% 41.39/27.01 tff(7675,plain,
% 41.39/27.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 41.39/27.01 inference(transitivity,[status(thm)],[7674, 7672])).
% 41.39/27.01 tff(7676,plain,
% 41.39/27.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7677,plain,
% 41.39/27.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7676, 7675])).
% 41.39/27.01 tff(7678,plain,
% 41.39/27.01 (v129(constB58, bitIndex0) | (~v100(constB58))),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7677, 952, 7649])).
% 41.39/27.01 tff(7679,plain,
% 41.39/27.01 (v129(constB58, bitIndex0)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7678, 7671])).
% 41.39/27.01 tff(7680,plain,
% 41.39/27.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7681,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7682,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 41.39/27.01 tff(7683,plain,
% 41.39/27.01 (v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0))),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7682, 937, 7334])).
% 41.39/27.01 tff(7684,plain,
% 41.39/27.01 (v127(constB57, bitIndex0)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7683, 7679])).
% 41.39/27.01 tff(7685,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7686,plain,
% 41.39/27.01 ((v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0))) <=> ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7687,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0)))),
% 41.39/27.01 inference(monotonicity,[status(thm)],[7686])).
% 41.39/27.01 tff(7688,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 41.39/27.01 inference(transitivity,[status(thm)],[7687, 7685])).
% 41.39/27.01 tff(7689,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7690,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0)),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7689, 7688])).
% 41.39/27.01 tff(7691,plain,
% 41.39/27.01 ((~v127(constB57, bitIndex0)) | v130(constB57, bitIndex0)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7690, 907, 7323])).
% 41.39/27.01 tff(7692,plain,
% 41.39/27.01 (v130(constB57, bitIndex0)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7691, 7684])).
% 41.39/27.01 tff(7693,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB57)) | (~v130(constB57, bitIndex0)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7694,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB57)) | (~v130(constB57, bitIndex0)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7695,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB57)) | (~v130(constB57, bitIndex0))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7694, 7693])).
% 41.39/27.01 tff(7696,plain,
% 41.39/27.01 (~v119(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7695, 893, 7692])).
% 41.39/27.01 tff(7697,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB57)) | (~v130(constB57, bitIndex0)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7698,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex0)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7699,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB57)) | (~v130(constB57, bitIndex0))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7698, 7697])).
% 41.39/27.01 tff(7700,plain,
% 41.39/27.01 (~v120(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7699, 1826, 7692])).
% 41.39/27.01 tff(7701,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7702,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7701])).
% 41.39/27.01 tff(7703,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7704,plain,
% 41.39/27.01 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v118(VarCurr)) | v119(VarCurr)) <=> (v119(VarCurr) | (~v118(VarCurr)))), ((((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> ((v119(VarCurr) | (~v118(VarCurr))) | v120(VarCurr)))), rewrite(((v119(VarCurr) | (~v118(VarCurr))) | v120(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))), ((((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7705,plain,
% 41.39/27.01 (![VarCurr: state_type] : (((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7704])).
% 41.39/27.01 tff(7706,axiom,(![VarCurr: state_type] : (((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_3')).
% 41.39/27.01 tff(7707,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7706, 7705])).
% 41.39/27.01 tff(7708,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7707, 7703])).
% 41.39/27.01 tff(7709,plain,(
% 41.39/27.01 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 41.39/27.01 inference(skolemize,[status(sab)],[7708])).
% 41.39/27.01 tff(7710,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7709, 7702])).
% 41.39/27.01 tff(7711,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB57) | v120(constB57) | (~v118(constB57)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB57) | v120(constB57) | (~v118(constB57)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7712,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB57) | v120(constB57) | (~v118(constB57)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7713,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB57) | v120(constB57) | (~v118(constB57))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 41.39/27.01 tff(7714,plain,
% 41.39/27.01 (~v118(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7713, 7710, 7700, 7696])).
% 41.39/27.01 tff(7715,plain,
% 41.39/27.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v100(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v100(constB58)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7716,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v100(constB58)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7717,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v100(constB58))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7716, 7715])).
% 41.39/27.01 tff(7718,plain,
% 41.39/27.01 (v110(constB58) | (~v100(constB58))),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7717, 3965, 7334])).
% 41.39/27.01 tff(7719,plain,
% 41.39/27.01 (v110(constB58)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7718, 7671])).
% 41.39/27.01 tff(7720,plain,
% 41.39/27.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7721,plain,
% 41.39/27.01 (((~nextState(constB57, constB58)) | v108(constB57) | (~v110(constB58))) <=> ((~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7722,plain,
% 41.39/27.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | v108(constB57) | (~v110(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57)))),
% 41.39/27.01 inference(monotonicity,[status(thm)],[7721])).
% 41.39/27.01 tff(7723,plain,
% 41.39/27.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | v108(constB57) | (~v110(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57))),
% 41.39/27.01 inference(transitivity,[status(thm)],[7722, 7720])).
% 41.39/27.01 tff(7724,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB57, constB58)) | v108(constB57) | (~v110(constB58)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7725,plain,
% 41.39/27.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB57, constB58)) | (~v110(constB58)) | v108(constB57)),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7724, 7723])).
% 41.39/27.01 tff(7726,plain,
% 41.39/27.01 ((~v110(constB58)) | v108(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7725, 3947, 7334])).
% 41.39/27.01 tff(7727,plain,
% 41.39/27.01 (v108(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7726, 7719])).
% 41.39/27.01 tff(7728,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl((v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7729,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7728])).
% 41.39/27.01 tff(7730,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7731,plain,
% 41.39/27.01 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v108(VarCurr)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> ((v26(VarCurr) | (~v108(VarCurr))) | v112(VarCurr)))), rewrite(((v26(VarCurr) | (~v108(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7732,plain,
% 41.39/27.01 (![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7731])).
% 41.39/27.01 tff(7733,axiom,(![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 41.39/27.01 tff(7734,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7733, 7732])).
% 41.39/27.01 tff(7735,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7734, 7730])).
% 41.39/27.01 tff(7736,plain,(
% 41.39/27.01 ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 41.39/27.01 inference(skolemize,[status(sab)],[7735])).
% 41.39/27.01 tff(7737,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7736, 7729])).
% 41.39/27.01 tff(7738,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB57)) | v26(constB57) | v112(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB57)) | v26(constB57) | v112(constB57))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7739,plain,
% 41.39/27.01 ((v26(constB57) | v112(constB57) | (~v108(constB57))) <=> ((~v108(constB57)) | v26(constB57) | v112(constB57))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7740,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB57) | v112(constB57) | (~v108(constB57)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB57)) | v26(constB57) | v112(constB57)))),
% 41.39/27.01 inference(monotonicity,[status(thm)],[7739])).
% 41.39/27.01 tff(7741,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB57) | v112(constB57) | (~v108(constB57)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB57)) | v26(constB57) | v112(constB57))),
% 41.39/27.01 inference(transitivity,[status(thm)],[7740, 7738])).
% 41.39/27.01 tff(7742,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB57) | v112(constB57) | (~v108(constB57)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7743,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB57)) | v26(constB57) | v112(constB57)),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7742, 7741])).
% 41.39/27.01 tff(7744,plain,
% 41.39/27.01 ((~v108(constB57)) | v112(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7743, 7737, 7323])).
% 41.39/27.01 tff(7745,plain,
% 41.39/27.01 (v112(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7744, 7727])).
% 41.39/27.01 tff(7746,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl((v113(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7747,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7746])).
% 41.39/27.01 tff(7748,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7749,plain,
% 41.39/27.01 (^[VarCurr: state_type] : rewrite(((~v112(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7750,plain,
% 41.39/27.01 (![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7749])).
% 41.39/27.01 tff(7751,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 41.39/27.01 tff(7752,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 41.39/27.01 tff(7753,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7752, 7748])).
% 41.39/27.01 tff(7754,plain,(
% 41.39/27.01 ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 41.39/27.01 inference(skolemize,[status(sab)],[7753])).
% 41.39/27.01 tff(7755,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7754, 7747])).
% 41.39/27.01 tff(7756,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB57) | (~v112(constB57)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7757,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB57) | (~v112(constB57)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7758,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB57) | (~v112(constB57))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7757, 7756])).
% 41.39/27.01 tff(7759,plain,
% 41.39/27.01 (v113(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7758, 7755, 7745])).
% 41.39/27.01 tff(7760,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ((~v125(VarCurr)) | v90(VarCurr, bitIndex2)))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7761,plain,
% 41.39/27.01 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7760])).
% 41.39/27.01 tff(7762,plain,
% 41.39/27.01 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7763,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_2')).
% 41.39/27.01 tff(7764,plain,
% 41.39/27.01 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 41.39/27.01 tff(7765,plain,(
% 41.39/27.01 ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.01 inference(skolemize,[status(sab)],[7764])).
% 41.39/27.01 tff(7766,plain,
% 41.39/27.01 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7765, 7761])).
% 41.39/27.01 tff(7767,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v125(constB57)) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v125(constB57)) | v90(constB57, bitIndex2))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7768,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v125(constB57)) | v90(constB57, bitIndex2))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7769,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v125(constB57)) | v90(constB57, bitIndex2)),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 41.39/27.01 tff(7770,plain,
% 41.39/27.01 (~v125(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7769, 7766, 7422])).
% 41.39/27.01 tff(7771,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl((v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7772,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7771])).
% 41.39/27.01 tff(7773,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7774,plain,
% 41.39/27.01 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v113(VarCurr)) | v114(VarCurr)) <=> (v114(VarCurr) | (~v113(VarCurr)))), ((((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> ((v114(VarCurr) | (~v113(VarCurr))) | v125(VarCurr)))), rewrite(((v114(VarCurr) | (~v113(VarCurr))) | v125(VarCurr)) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))), ((((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7775,plain,
% 41.39/27.01 (![VarCurr: state_type] : (((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7774])).
% 41.39/27.01 tff(7776,axiom,(![VarCurr: state_type] : (((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 41.39/27.01 tff(7777,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7776, 7775])).
% 41.39/27.01 tff(7778,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7777, 7773])).
% 41.39/27.01 tff(7779,plain,(
% 41.39/27.01 ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 41.39/27.01 inference(skolemize,[status(sab)],[7778])).
% 41.39/27.01 tff(7780,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7779, 7772])).
% 41.39/27.01 tff(7781,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB57) | v125(constB57) | (~v113(constB57)))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB57) | v125(constB57) | (~v113(constB57)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7782,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB57) | v125(constB57) | (~v113(constB57)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7783,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB57) | v125(constB57) | (~v113(constB57))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7782, 7781])).
% 41.39/27.01 tff(7784,plain,
% 41.39/27.01 (v114(constB57) | (~v113(constB57))),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7783, 7780, 7770])).
% 41.39/27.01 tff(7785,plain,
% 41.39/27.01 (v114(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7784, 7759])).
% 41.39/27.01 tff(7786,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl((v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7787,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7786])).
% 41.39/27.01 tff(7788,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7789,plain,
% 41.39/27.01 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v114(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | (~v114(VarCurr)))), ((((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> ((v115(VarCurr) | (~v114(VarCurr))) | v124(VarCurr)))), rewrite(((v115(VarCurr) | (~v114(VarCurr))) | v124(VarCurr)) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))), ((((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7790,plain,
% 41.39/27.01 (![VarCurr: state_type] : (((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7789])).
% 41.39/27.01 tff(7791,axiom,(![VarCurr: state_type] : (((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 41.39/27.01 tff(7792,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7791, 7790])).
% 41.39/27.01 tff(7793,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7792, 7788])).
% 41.39/27.01 tff(7794,plain,(
% 41.39/27.01 ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 41.39/27.01 inference(skolemize,[status(sab)],[7793])).
% 41.39/27.01 tff(7795,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7794, 7787])).
% 41.39/27.01 tff(7796,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB57) | v124(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB57) | v124(constB57) | (~v114(constB57)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7797,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB57) | v124(constB57) | (~v114(constB57)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7798,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB57) | v124(constB57) | (~v114(constB57))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7797, 7796])).
% 41.39/27.01 tff(7799,plain,
% 41.39/27.01 (v115(constB57) | (~v114(constB57))),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7798, 7795, 7577])).
% 41.39/27.01 tff(7800,plain,
% 41.39/27.01 (v115(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7799, 7785])).
% 41.39/27.01 tff(7801,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl((v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7802,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7801])).
% 41.39/27.01 tff(7803,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7804,plain,
% 41.39/27.01 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v115(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | (~v115(VarCurr)))), ((((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> ((v116(VarCurr) | (~v115(VarCurr))) | v123(VarCurr)))), rewrite(((v116(VarCurr) | (~v115(VarCurr))) | v123(VarCurr)) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))), ((((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7805,plain,
% 41.39/27.01 (![VarCurr: state_type] : (((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7804])).
% 41.39/27.01 tff(7806,axiom,(![VarCurr: state_type] : (((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_3')).
% 41.39/27.01 tff(7807,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7806, 7805])).
% 41.39/27.01 tff(7808,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7807, 7803])).
% 41.39/27.01 tff(7809,plain,(
% 41.39/27.01 ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 41.39/27.01 inference(skolemize,[status(sab)],[7808])).
% 41.39/27.01 tff(7810,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7809, 7802])).
% 41.39/27.01 tff(7811,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB57) | v123(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB57) | v123(constB57) | (~v115(constB57)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7812,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB57) | v123(constB57) | (~v115(constB57)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7813,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB57) | v123(constB57) | (~v115(constB57))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 41.39/27.01 tff(7814,plain,
% 41.39/27.01 (v116(constB57) | (~v115(constB57))),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7813, 7810, 7566])).
% 41.39/27.01 tff(7815,plain,
% 41.39/27.01 (v116(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7814, 7800])).
% 41.39/27.01 tff(7816,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB57)) | (~v130(constB57, bitIndex0)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7817,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB57)) | (~v130(constB57, bitIndex0)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7818,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB57)) | (~v130(constB57, bitIndex0))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7817, 7816])).
% 41.39/27.01 tff(7819,plain,
% 41.39/27.01 (~v122(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7818, 2327, 7692])).
% 41.39/27.01 tff(7820,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl((v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7821,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7820])).
% 41.39/27.01 tff(7822,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7823,plain,
% 41.39/27.01 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v116(VarCurr)) | v117(VarCurr)) <=> (v117(VarCurr) | (~v116(VarCurr)))), ((((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> ((v117(VarCurr) | (~v116(VarCurr))) | v122(VarCurr)))), rewrite(((v117(VarCurr) | (~v116(VarCurr))) | v122(VarCurr)) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))), ((((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7824,plain,
% 41.39/27.01 (![VarCurr: state_type] : (((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7823])).
% 41.39/27.01 tff(7825,axiom,(![VarCurr: state_type] : (((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 41.39/27.01 tff(7826,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 41.39/27.01 tff(7827,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7826, 7822])).
% 41.39/27.01 tff(7828,plain,(
% 41.39/27.01 ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 41.39/27.01 inference(skolemize,[status(sab)],[7827])).
% 41.39/27.01 tff(7829,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7828, 7821])).
% 41.39/27.01 tff(7830,plain,
% 41.39/27.01 (((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB57) | v122(constB57) | (~v116(constB57)))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB57) | v122(constB57) | (~v116(constB57)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7831,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB57) | v122(constB57) | (~v116(constB57)))),
% 41.39/27.01 inference(quant_inst,[status(thm)],[])).
% 41.39/27.01 tff(7832,plain,
% 41.39/27.01 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB57) | v122(constB57) | (~v116(constB57))),
% 41.39/27.01 inference(modus_ponens,[status(thm)],[7831, 7830])).
% 41.39/27.01 tff(7833,plain,
% 41.39/27.01 (v117(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7832, 7829, 7819, 7815])).
% 41.39/27.01 tff(7834,plain,
% 41.39/27.01 (~v129(constB58, bitIndex1)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7514, 7671])).
% 41.39/27.01 tff(7835,plain,
% 41.39/27.01 (~v127(constB57, bitIndex1)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7519, 7834])).
% 41.39/27.01 tff(7836,plain,
% 41.39/27.01 (~v130(constB57, bitIndex1)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7524, 7835])).
% 41.39/27.01 tff(7837,plain,
% 41.39/27.01 (~v121(constB57)),
% 41.39/27.01 inference(unit_resolution,[status(thm)],[7532, 2050, 7836])).
% 41.39/27.01 tff(7838,plain,
% 41.39/27.01 (^[VarCurr: state_type] : refl((v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.01 tff(7839,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 41.39/27.01 inference(quant_intro,[status(thm)],[7838])).
% 41.39/27.01 tff(7840,plain,
% 41.39/27.01 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 41.39/27.01 inference(rewrite,[status(thm)],[])).
% 41.39/27.01 tff(7841,plain,
% 41.39/27.01 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v117(VarCurr)) | v118(VarCurr)) <=> (v118(VarCurr) | (~v117(VarCurr)))), ((((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> ((v118(VarCurr) | (~v117(VarCurr))) | v121(VarCurr)))), rewrite(((v118(VarCurr) | (~v117(VarCurr))) | v121(VarCurr)) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))), ((((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))))),
% 41.39/27.01 inference(bind,[status(th)],[])).
% 41.39/27.02 tff(7842,plain,
% 41.39/27.02 (![VarCurr: state_type] : (((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 41.39/27.02 inference(quant_intro,[status(thm)],[7841])).
% 41.39/27.02 tff(7843,axiom,(![VarCurr: state_type] : (((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 41.39/27.02 tff(7844,plain,
% 41.39/27.02 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7843, 7842])).
% 41.39/27.02 tff(7845,plain,
% 41.39/27.02 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7844, 7840])).
% 41.39/27.02 tff(7846,plain,(
% 41.39/27.02 ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 41.39/27.02 inference(skolemize,[status(sab)],[7845])).
% 41.39/27.02 tff(7847,plain,
% 41.39/27.02 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7846, 7839])).
% 41.39/27.02 tff(7848,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB57) | v121(constB57) | (~v117(constB57)))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB57) | v121(constB57) | (~v117(constB57)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7849,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB57) | v121(constB57) | (~v117(constB57)))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7850,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB57) | v121(constB57) | (~v117(constB57))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7849, 7848])).
% 41.39/27.02 tff(7851,plain,
% 41.39/27.02 ($false),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7850, 7847, 7837, 7833, 7714])).
% 41.39/27.02 tff(7852,plain,(v90(constB57, bitIndex2) | (~v90(constB58, bitIndex0)) | v90(constB58, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 41.39/27.02 tff(7853,plain,
% 41.39/27.02 ($false),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7852, 7648, 7431, 7422])).
% 41.39/27.02 tff(7854,plain,(v90(constB58, bitIndex1) | v90(constB57, bitIndex2) | v90(constB58, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.39/27.02 tff(7855,plain,
% 41.39/27.02 (v90(constB58, bitIndex1)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7854, 7430, 7422])).
% 41.39/27.02 tff(7856,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7857,plain,
% 41.39/27.02 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1))) <=> (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7858,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7857])).
% 41.39/27.02 tff(7859,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7858, 7856])).
% 41.39/27.02 tff(7860,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7861,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7860, 7859])).
% 41.39/27.02 tff(7862,plain,
% 41.39/27.02 (v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1))),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7861, 444, 7334])).
% 41.39/27.02 tff(7863,plain,
% 41.39/27.02 (v90(constB57, bitIndex1)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7862, 7855, 7340])).
% 41.39/27.02 tff(7864,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB57) | (~v122(constB57)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB57) | (~v122(constB57)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7865,plain,
% 41.39/27.02 (((~v122(constB57)) | v116(constB57)) <=> (v116(constB57) | (~v122(constB57)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7866,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB57)) | v116(constB57))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB57) | (~v122(constB57))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7865])).
% 41.39/27.02 tff(7867,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB57)) | v116(constB57))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB57) | (~v122(constB57)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7866, 7864])).
% 41.39/27.02 tff(7868,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB57)) | v116(constB57))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7869,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB57) | (~v122(constB57))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7868, 7867])).
% 41.39/27.02 tff(7870,plain,
% 41.39/27.02 (~v122(constB57)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7869, 2140, 7410])).
% 41.39/27.02 tff(7871,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7872,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7873,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v122(constB57)),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7872, 7871])).
% 41.39/27.02 tff(7874,plain,
% 41.39/27.02 ((~v90(constB57, bitIndex0)) | (~v90(constB57, bitIndex1)) | v122(constB57)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7873, 2129, 7422])).
% 41.39/27.02 tff(7875,plain,
% 41.39/27.02 (~v90(constB57, bitIndex0)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7874, 7863, 7870])).
% 41.39/27.02 tff(7876,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7877,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7878,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v90(constB57, bitIndex2) | v121(constB57)),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7877, 7876])).
% 41.39/27.02 tff(7879,plain,
% 41.39/27.02 (v90(constB57, bitIndex0) | (~v90(constB57, bitIndex1)) | v121(constB57)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7878, 1870, 7422])).
% 41.39/27.02 tff(7880,plain,
% 41.39/27.02 ($false),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7879, 7875, 7863, 7421])).
% 41.39/27.02 tff(7881,plain,(v100(constB58) | v90(constB57, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.39/27.02 tff(7882,plain,
% 41.39/27.02 (v100(constB58)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7881, 7246])).
% 41.39/27.02 tff(7883,plain,
% 41.39/27.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7884,plain,
% 41.39/27.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7885,plain,
% 41.39/27.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7884, 7883])).
% 41.39/27.02 tff(7886,plain,
% 41.39/27.02 ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7885, 1452, 7882])).
% 41.39/27.02 tff(7887,plain,
% 41.39/27.02 (~v90(constB58, bitIndex2)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7886, 7339])).
% 41.39/27.02 tff(7888,plain,
% 41.39/27.02 ((~v1(constB59)) <=> (~v1(constB59))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7889,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 41.39/27.02 tff(7890,plain,
% 41.39/27.02 (~v1(constB59)),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7889, 7888])).
% 41.39/27.02 tff(7891,plain,
% 41.39/27.02 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7892,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 41.39/27.02 tff(7893,plain,
% 41.39/27.02 (nextState(constB58, constB59)),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7892, 7891])).
% 41.39/27.02 tff(7894,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7895,plain,
% 41.39/27.02 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7896,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7895])).
% 41.39/27.02 tff(7897,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7896, 7894])).
% 41.39/27.02 tff(7898,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7899,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 41.39/27.02 tff(7900,plain,
% 41.39/27.02 (~v101(constB59)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7899, 391, 7893, 7890])).
% 41.39/27.02 tff(7901,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7902,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7903,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7902, 7901])).
% 41.39/27.02 tff(7904,plain,
% 41.39/27.02 (v101(constB59) | (~v100(constB59))),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7903, 408, 7893])).
% 41.39/27.02 tff(7905,plain,
% 41.39/27.02 (~v100(constB59)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7904, 7900])).
% 41.39/27.02 tff(7906,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7907,plain,
% 41.39/27.02 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7908,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7907])).
% 41.39/27.02 tff(7909,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7908, 7906])).
% 41.39/27.02 tff(7910,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7911,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 41.39/27.02 tff(7912,plain,
% 41.39/27.02 (v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7911, 423, 7893])).
% 41.39/27.02 tff(7913,plain,
% 41.39/27.02 (v90(constB58, bitIndex2) | (~v90(constB59, bitIndex2))),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7912, 7905])).
% 41.39/27.02 tff(7914,plain,
% 41.39/27.02 (~v90(constB59, bitIndex2)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7913, 7887])).
% 41.39/27.02 tff(7915,plain,
% 41.39/27.02 (v130(constB57, bitIndex1)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7528, 1788, 7315])).
% 41.39/27.02 tff(7916,plain,
% 41.39/27.02 (v127(constB57, bitIndex1)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7524, 7915])).
% 41.39/27.02 tff(7917,plain,
% 41.39/27.02 (v129(constB58, bitIndex1)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7519, 7916])).
% 41.39/27.02 tff(7918,plain,
% 41.39/27.02 (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1))),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7513, 1174, 7882])).
% 41.39/27.02 tff(7919,plain,
% 41.39/27.02 (v90(constB58, bitIndex1)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7918, 7917])).
% 41.39/27.02 tff(7920,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7921,plain,
% 41.39/27.02 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7922,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1)))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7921])).
% 41.39/27.02 tff(7923,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7922, 7920])).
% 41.39/27.02 tff(7924,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7925,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1)),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7924, 7923])).
% 41.39/27.02 tff(7926,plain,
% 41.39/27.02 ((~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7925, 1192, 7893])).
% 41.39/27.02 tff(7927,plain,
% 41.39/27.02 ((~v90(constB58, bitIndex1)) | v90(constB59, bitIndex1)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7926, 7905])).
% 41.39/27.02 tff(7928,plain,
% 41.39/27.02 (v90(constB59, bitIndex1)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7927, 7919])).
% 41.39/27.02 tff(7929,plain,
% 41.39/27.02 (~v130(constB57, bitIndex0)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7699, 1826, 7315])).
% 41.39/27.02 tff(7930,plain,
% 41.39/27.02 (~v127(constB57, bitIndex0)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7691, 7929])).
% 41.39/27.02 tff(7931,plain,
% 41.39/27.02 (~v129(constB58, bitIndex0)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7683, 7930])).
% 41.39/27.02 tff(7932,plain,
% 41.39/27.02 ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7677, 952, 7882])).
% 41.39/27.02 tff(7933,plain,
% 41.39/27.02 (~v90(constB58, bitIndex0)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7932, 7931])).
% 41.39/27.02 tff(7934,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7935,plain,
% 41.39/27.02 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7936,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7935])).
% 41.39/27.02 tff(7937,plain,
% 41.39/27.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7936, 7934])).
% 41.39/27.02 tff(7938,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7939,plain,
% 41.39/27.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7938, 7937])).
% 41.39/27.02 tff(7940,plain,
% 41.39/27.02 (v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7939, 465, 7893])).
% 41.39/27.02 tff(7941,plain,
% 41.39/27.02 (v90(constB58, bitIndex0) | (~v90(constB59, bitIndex0))),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7940, 7905])).
% 41.39/27.02 tff(7942,plain,
% 41.39/27.02 (~v90(constB59, bitIndex0)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7941, 7933])).
% 41.39/27.02 tff(7943,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7944,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7945,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59)),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7944, 7943])).
% 41.39/27.02 tff(7946,plain,
% 41.39/27.02 (v121(constB59)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7945, 1870, 7942, 7928, 7914])).
% 41.39/27.02 tff(7947,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB59) | (~v121(constB59)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB59) | (~v121(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7948,plain,
% 41.39/27.02 (((~v121(constB59)) | v117(constB59)) <=> (v117(constB59) | (~v121(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7949,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB59)) | v117(constB59))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB59) | (~v121(constB59))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7948])).
% 41.39/27.02 tff(7950,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB59)) | v117(constB59))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB59) | (~v121(constB59)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7949, 7947])).
% 41.39/27.02 tff(7951,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB59)) | v117(constB59))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7952,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB59) | (~v121(constB59))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7951, 7950])).
% 41.39/27.02 tff(7953,plain,
% 41.39/27.02 (v117(constB59)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7952, 1881, 7946])).
% 41.39/27.02 tff(7954,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB59) | (~v117(constB59)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB59) | (~v117(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7955,plain,
% 41.39/27.02 (((~v117(constB59)) | v116(constB59)) <=> (v116(constB59) | (~v117(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7956,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB59)) | v116(constB59))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB59) | (~v117(constB59))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7955])).
% 41.39/27.02 tff(7957,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB59)) | v116(constB59))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB59) | (~v117(constB59)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7956, 7954])).
% 41.39/27.02 tff(7958,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB59)) | v116(constB59))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7959,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB59) | (~v117(constB59))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7958, 7957])).
% 41.39/27.02 tff(7960,plain,
% 41.39/27.02 (v116(constB59)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7959, 525, 7953])).
% 41.39/27.02 tff(7961,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB59) | (~v116(constB59)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB59) | (~v116(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7962,plain,
% 41.39/27.02 (((~v116(constB59)) | v115(constB59)) <=> (v115(constB59) | (~v116(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7963,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB59)) | v115(constB59))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB59) | (~v116(constB59))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7962])).
% 41.39/27.02 tff(7964,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB59)) | v115(constB59))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB59) | (~v116(constB59)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7963, 7961])).
% 41.39/27.02 tff(7965,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB59)) | v115(constB59))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7966,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB59) | (~v116(constB59))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 41.39/27.02 tff(7967,plain,
% 41.39/27.02 (v115(constB59)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7966, 539, 7960])).
% 41.39/27.02 tff(7968,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB59) | (~v115(constB59)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB59) | (~v115(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7969,plain,
% 41.39/27.02 (((~v115(constB59)) | v114(constB59)) <=> (v114(constB59) | (~v115(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7970,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB59) | (~v115(constB59))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7969])).
% 41.39/27.02 tff(7971,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB59) | (~v115(constB59)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7970, 7968])).
% 41.39/27.02 tff(7972,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB59)) | v114(constB59))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7973,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB59) | (~v115(constB59))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7972, 7971])).
% 41.39/27.02 tff(7974,plain,
% 41.39/27.02 (v114(constB59)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7973, 553, 7967])).
% 41.39/27.02 tff(7975,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7976,plain,
% 41.39/27.02 (((~v114(constB59)) | v113(constB59)) <=> (v113(constB59) | (~v114(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7977,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7976])).
% 41.39/27.02 tff(7978,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7977, 7975])).
% 41.39/27.02 tff(7979,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7980,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7979, 7978])).
% 41.39/27.02 tff(7981,plain,
% 41.39/27.02 (v113(constB59)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7980, 567, 7974])).
% 41.39/27.02 tff(7982,assumption,(~v108(constB59)), introduced(assumption)).
% 41.39/27.02 tff(7983,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7984,plain,
% 41.39/27.02 (((~v112(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v112(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7985,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7984])).
% 41.39/27.02 tff(7986,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 41.39/27.02 inference(transitivity,[status(thm)],[7985, 7983])).
% 41.39/27.02 tff(7987,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))),
% 41.39/27.02 inference(quant_inst,[status(thm)],[])).
% 41.39/27.02 tff(7988,plain,
% 41.39/27.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59))),
% 41.39/27.02 inference(modus_ponens,[status(thm)],[7987, 7986])).
% 41.39/27.02 tff(7989,plain,
% 41.39/27.02 (~v112(constB59)),
% 41.39/27.02 inference(unit_resolution,[status(thm)],[7988, 746, 7982])).
% 41.39/27.02 tff(7990,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v26(constB59)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v26(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7991,plain,
% 41.39/27.02 (((~v26(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v26(constB59)))),
% 41.39/27.02 inference(rewrite,[status(thm)],[])).
% 41.39/27.02 tff(7992,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v26(constB59))))),
% 41.39/27.02 inference(monotonicity,[status(thm)],[7991])).
% 41.39/27.02 tff(7993,plain,
% 41.39/27.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v26(constB59)))),
% 41.39/27.03 inference(transitivity,[status(thm)],[7992, 7990])).
% 41.39/27.03 tff(7994,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB59)) | v108(constB59))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(7995,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v26(constB59))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[7994, 7993])).
% 41.39/27.03 tff(7996,plain,
% 41.39/27.03 (~v26(constB59)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[7995, 1925, 7982])).
% 41.39/27.03 tff(7997,assumption,(v113(constB59)), introduced(assumption)).
% 41.39/27.03 tff(7998,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(7999,plain,
% 41.39/27.03 ((v26(constB59) | (~v113(constB59)) | v112(constB59)) <=> (v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8000,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59))))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[7999])).
% 41.39/27.03 tff(8001,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8000, 7998])).
% 41.39/27.03 tff(8002,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8003,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8002, 8001])).
% 41.39/27.03 tff(8004,plain,
% 41.39/27.03 (v26(constB59) | v112(constB59)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8003, 581, 7997])).
% 41.39/27.03 tff(8005,plain,
% 41.39/27.03 ($false),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8004, 7996, 7989])).
% 41.39/27.03 tff(8006,plain,(v108(constB59) | (~v113(constB59))), inference(lemma,lemma(discharge,[]))).
% 41.39/27.03 tff(8007,plain,
% 41.39/27.03 (v108(constB59)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8006, 7981])).
% 41.39/27.03 tff(8008,plain,
% 41.39/27.03 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8009,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 41.39/27.03 tff(8010,plain,
% 41.39/27.03 (nextState(constB59, constB60)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8009, 8008])).
% 41.39/27.03 tff(8011,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8012,plain,
% 41.39/27.03 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8013,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[8012])).
% 41.39/27.03 tff(8014,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8013, 8011])).
% 41.39/27.03 tff(8015,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8016,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8015, 8014])).
% 41.39/27.03 tff(8017,plain,
% 41.39/27.03 (v110(constB60) | (~v108(constB59))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8016, 731, 8010])).
% 41.39/27.03 tff(8018,plain,
% 41.39/27.03 (v110(constB60)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8017, 8007])).
% 41.39/27.03 tff(8019,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8020,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8021,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 41.39/27.03 tff(8022,plain,
% 41.39/27.03 (~v104(constB60)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8021, 659, 8010, 7890])).
% 41.39/27.03 tff(8023,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8024,plain,
% 41.39/27.03 (((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)) <=> ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8025,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60)))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[8024])).
% 41.39/27.03 tff(8026,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8025, 8023])).
% 41.39/27.03 tff(8027,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8028,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8027, 8026])).
% 41.39/27.03 tff(8029,plain,
% 41.39/27.03 (v104(constB60) | v102(constB60)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8028, 673, 8010])).
% 41.39/27.03 tff(8030,plain,
% 41.39/27.03 (v102(constB60)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8029, 8022])).
% 41.39/27.03 tff(8031,plain,
% 41.39/27.03 (v1(constB60) <=> v1(constB60)),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8032,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 41.39/27.03 tff(8033,plain,
% 41.39/27.03 (v1(constB60)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8032, 8031])).
% 41.39/27.03 tff(8034,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8035,plain,
% 41.39/27.03 (((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))) <=> ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8036,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60))))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[8035])).
% 41.39/27.03 tff(8037,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8036, 8034])).
% 41.39/27.03 tff(8038,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8039,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8038, 8037])).
% 41.39/27.03 tff(8040,plain,
% 41.39/27.03 (v101(constB60) | (~v102(constB60))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8039, 694, 8010, 8033])).
% 41.39/27.03 tff(8041,plain,
% 41.39/27.03 (v101(constB60)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8040, 8030])).
% 41.39/27.03 tff(8042,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8043,plain,
% 41.39/27.03 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8044,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[8043])).
% 41.39/27.03 tff(8045,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8044, 8042])).
% 41.39/27.03 tff(8046,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8047,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 41.39/27.03 tff(8048,plain,
% 41.39/27.03 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8047, 712, 8010])).
% 41.39/27.03 tff(8049,plain,
% 41.39/27.03 (v100(constB60) | (~v110(constB60))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8048, 8041])).
% 41.39/27.03 tff(8050,plain,
% 41.39/27.03 (v100(constB60)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8049, 8018])).
% 41.39/27.03 tff(8051,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8052,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8053,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8052, 8051])).
% 41.39/27.03 tff(8054,plain,
% 41.39/27.03 (~v130(constB59, bitIndex2)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8053, 1990, 7946])).
% 41.39/27.03 tff(8055,assumption,(v26(constB59)), introduced(assumption)).
% 41.39/27.03 tff(8056,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8057,plain,
% 41.39/27.03 ($false),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8056, 95, 8055])).
% 41.39/27.03 tff(8058,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 41.39/27.03 tff(8059,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8060,plain,
% 41.39/27.03 ((v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2))) <=> ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8061,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2)))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[8060])).
% 41.39/27.03 tff(8062,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8061, 8059])).
% 41.39/27.03 tff(8063,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8064,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8063, 8062])).
% 41.39/27.03 tff(8065,plain,
% 41.39/27.03 ((~v127(constB59, bitIndex2)) | v130(constB59, bitIndex2)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8064, 1419, 8058])).
% 41.39/27.03 tff(8066,plain,
% 41.39/27.03 (~v127(constB59, bitIndex2)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8065, 8054])).
% 41.39/27.03 tff(8067,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8068,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8069,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8068, 8067])).
% 41.39/27.03 tff(8070,plain,
% 41.39/27.03 (v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8069, 1437, 8010])).
% 41.39/27.03 tff(8071,plain,
% 41.39/27.03 (~v129(constB60, bitIndex2)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8070, 8066])).
% 41.39/27.03 tff(8072,plain,
% 41.39/27.03 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8073,plain,
% 41.39/27.03 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8074,plain,
% 41.39/27.03 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8073, 8072])).
% 41.39/27.03 tff(8075,plain,
% 41.39/27.03 ((~v90(constB60, bitIndex2)) | (~v100(constB60))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8074, 1452, 8071])).
% 41.39/27.03 tff(8076,plain,
% 41.39/27.03 (~v90(constB60, bitIndex2)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8075, 8050])).
% 41.39/27.03 tff(8077,plain,
% 41.39/27.03 ((~v1(constB61)) <=> (~v1(constB61))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8078,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 41.39/27.03 tff(8079,plain,
% 41.39/27.03 (~v1(constB61)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 41.39/27.03 tff(8080,plain,
% 41.39/27.03 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8081,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 41.39/27.03 tff(8082,plain,
% 41.39/27.03 (nextState(constB60, constB61)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 41.39/27.03 tff(8083,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8084,plain,
% 41.39/27.03 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8085,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[8084])).
% 41.39/27.03 tff(8086,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8085, 8083])).
% 41.39/27.03 tff(8087,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8088,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8087, 8086])).
% 41.39/27.03 tff(8089,plain,
% 41.39/27.03 (~v101(constB61)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8088, 391, 8082, 8079])).
% 41.39/27.03 tff(8090,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8091,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8092,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8091, 8090])).
% 41.39/27.03 tff(8093,plain,
% 41.39/27.03 (v101(constB61) | (~v100(constB61))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8092, 408, 8082])).
% 41.39/27.03 tff(8094,plain,
% 41.39/27.03 (~v100(constB61)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8093, 8089])).
% 41.39/27.03 tff(8095,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8096,plain,
% 41.39/27.03 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8097,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2))))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[8096])).
% 41.39/27.03 tff(8098,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8097, 8095])).
% 41.39/27.03 tff(8099,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8100,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 41.39/27.03 tff(8101,plain,
% 41.39/27.03 (v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8100, 423, 8082])).
% 41.39/27.03 tff(8102,plain,
% 41.39/27.03 (v90(constB60, bitIndex2) | (~v90(constB61, bitIndex2))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8101, 8094])).
% 41.39/27.03 tff(8103,plain,
% 41.39/27.03 (~v90(constB61, bitIndex2)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8102, 8076])).
% 41.39/27.03 tff(8104,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB59)) | v130(constB59, bitIndex1))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8105,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB59)) | v130(constB59, bitIndex1))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8106,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB59)) | v130(constB59, bitIndex1)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8105, 8104])).
% 41.39/27.03 tff(8107,plain,
% 41.39/27.03 (v130(constB59, bitIndex1)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8106, 2050, 7946])).
% 41.39/27.03 tff(8108,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8109,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8110,plain,
% 41.39/27.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 41.39/27.03 tff(8111,plain,
% 41.39/27.03 ((~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8110, 1144, 8058])).
% 41.39/27.03 tff(8112,plain,
% 41.39/27.03 (v127(constB59, bitIndex1)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8111, 8107])).
% 41.39/27.03 tff(8113,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8114,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8115,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8114, 8113])).
% 41.39/27.03 tff(8116,plain,
% 41.39/27.03 ((~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8115, 1159, 8010])).
% 41.39/27.03 tff(8117,plain,
% 41.39/27.03 (v129(constB60, bitIndex1)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8116, 8112])).
% 41.39/27.03 tff(8118,plain,
% 41.39/27.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8119,plain,
% 41.39/27.03 ((v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8120,plain,
% 41.39/27.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[8119])).
% 41.39/27.03 tff(8121,plain,
% 41.39/27.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8120, 8118])).
% 41.39/27.03 tff(8122,plain,
% 41.39/27.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8123,plain,
% 41.39/27.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8122, 8121])).
% 41.39/27.03 tff(8124,plain,
% 41.39/27.03 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8123, 1174, 8117])).
% 41.39/27.03 tff(8125,plain,
% 41.39/27.03 (v90(constB60, bitIndex1)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8124, 8050])).
% 41.39/27.03 tff(8126,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8127,plain,
% 41.39/27.03 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 41.39/27.03 inference(rewrite,[status(thm)],[])).
% 41.39/27.03 tff(8128,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)))),
% 41.39/27.03 inference(monotonicity,[status(thm)],[8127])).
% 41.39/27.03 tff(8129,plain,
% 41.39/27.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 41.39/27.03 inference(transitivity,[status(thm)],[8128, 8126])).
% 41.39/27.03 tff(8130,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))),
% 41.39/27.03 inference(quant_inst,[status(thm)],[])).
% 41.39/27.03 tff(8131,plain,
% 41.39/27.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)),
% 41.39/27.03 inference(modus_ponens,[status(thm)],[8130, 8129])).
% 41.39/27.03 tff(8132,plain,
% 41.39/27.03 ((~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8131, 1192, 8082])).
% 41.39/27.03 tff(8133,plain,
% 41.39/27.03 ((~v90(constB60, bitIndex1)) | v90(constB61, bitIndex1)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8132, 8094])).
% 41.39/27.03 tff(8134,plain,
% 41.39/27.03 (v90(constB61, bitIndex1)),
% 41.39/27.03 inference(unit_resolution,[status(thm)],[8133, 8125])).
% 41.39/27.03 tff(8135,plain,
% 41.39/27.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB59)) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB59)) | v130(constB59, bitIndex0))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8136,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB59)) | v130(constB59, bitIndex0))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8137,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB59)) | v130(constB59, bitIndex0)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8136, 8135])).
% 41.39/27.04 tff(8138,plain,
% 41.39/27.04 (v130(constB59, bitIndex0)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8137, 2088, 7946])).
% 41.39/27.04 tff(8139,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8140,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8141,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8140, 8139])).
% 41.39/27.04 tff(8142,plain,
% 41.39/27.04 ((~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8141, 1552, 8058])).
% 41.39/27.04 tff(8143,plain,
% 41.39/27.04 (v127(constB59, bitIndex0)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8142, 8138])).
% 41.39/27.04 tff(8144,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8145,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8146,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8145, 8144])).
% 41.39/27.04 tff(8147,plain,
% 41.39/27.04 ((~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8146, 1567, 8010])).
% 41.39/27.04 tff(8148,plain,
% 41.39/27.04 (v129(constB60, bitIndex0)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8147, 8143])).
% 41.39/27.04 tff(8149,plain,
% 41.39/27.04 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8150,plain,
% 41.39/27.04 ((v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8151,plain,
% 41.39/27.04 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8150])).
% 41.39/27.04 tff(8152,plain,
% 41.39/27.04 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8151, 8149])).
% 41.39/27.04 tff(8153,plain,
% 41.39/27.04 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8154,plain,
% 41.39/27.04 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 41.39/27.04 tff(8155,plain,
% 41.39/27.04 (v90(constB60, bitIndex0) | (~v100(constB60))),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8154, 1582, 8148])).
% 41.39/27.04 tff(8156,plain,
% 41.39/27.04 (v90(constB60, bitIndex0)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8155, 8050])).
% 41.39/27.04 tff(8157,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8158,plain,
% 41.39/27.04 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8159,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0)))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8158])).
% 41.39/27.04 tff(8160,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8159, 8157])).
% 41.39/27.04 tff(8161,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8162,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 41.39/27.04 tff(8163,plain,
% 41.39/27.04 ((~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8162, 1600, 8082])).
% 41.39/27.04 tff(8164,plain,
% 41.39/27.04 ((~v90(constB60, bitIndex0)) | v90(constB61, bitIndex0)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8163, 8094])).
% 41.39/27.04 tff(8165,plain,
% 41.39/27.04 (v90(constB61, bitIndex0)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8164, 8156])).
% 41.39/27.04 tff(8166,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8167,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8168,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 41.39/27.04 tff(8169,plain,
% 41.39/27.04 (v122(constB61)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8168, 2129, 8165, 8134, 8103])).
% 41.39/27.04 tff(8170,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB61)) | v116(constB61))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB61)) | v116(constB61))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8171,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB61)) | v116(constB61))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8172,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB61)) | v116(constB61)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8171, 8170])).
% 41.39/27.04 tff(8173,plain,
% 41.39/27.04 (v116(constB61)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8172, 2140, 8169])).
% 41.39/27.04 tff(8174,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB61)) | v115(constB61))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8175,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8176,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB61)) | v115(constB61)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8175, 8174])).
% 41.39/27.04 tff(8177,plain,
% 41.39/27.04 (v115(constB61)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8176, 539, 8173])).
% 41.39/27.04 tff(8178,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB61) | (~v115(constB61)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB61) | (~v115(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8179,plain,
% 41.39/27.04 (((~v115(constB61)) | v114(constB61)) <=> (v114(constB61) | (~v115(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8180,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB61) | (~v115(constB61))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8179])).
% 41.39/27.04 tff(8181,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB61) | (~v115(constB61)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8180, 8178])).
% 41.39/27.04 tff(8182,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8183,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB61) | (~v115(constB61))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8182, 8181])).
% 41.39/27.04 tff(8184,plain,
% 41.39/27.04 (v114(constB61)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8183, 553, 8177])).
% 41.39/27.04 tff(8185,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v114(constB61)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8186,plain,
% 41.39/27.04 (((~v114(constB61)) | v113(constB61)) <=> (v113(constB61) | (~v114(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8187,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v114(constB61))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8186])).
% 41.39/27.04 tff(8188,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8187, 8185])).
% 41.39/27.04 tff(8189,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8190,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8189, 8188])).
% 41.39/27.04 tff(8191,plain,
% 41.39/27.04 (v113(constB61)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8190, 567, 8184])).
% 41.39/27.04 tff(8192,assumption,(v26(constB61)), introduced(assumption)).
% 41.39/27.04 tff(8193,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8194,plain,
% 41.39/27.04 ($false),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8193, 95, 8192])).
% 41.39/27.04 tff(8195,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 41.39/27.04 tff(8196,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8197,plain,
% 41.39/27.04 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8198,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8197])).
% 41.39/27.04 tff(8199,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8198, 8196])).
% 41.39/27.04 tff(8200,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8201,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8200, 8199])).
% 41.39/27.04 tff(8202,plain,
% 41.39/27.04 (v112(constB61) | (~v113(constB61))),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8201, 581, 8195])).
% 41.39/27.04 tff(8203,plain,
% 41.39/27.04 (v112(constB61)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8202, 8191])).
% 41.39/27.04 tff(8204,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8205,plain,
% 41.39/27.04 (((~v112(constB61)) | v108(constB61)) <=> (v108(constB61) | (~v112(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8206,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8205])).
% 41.39/27.04 tff(8207,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8206, 8204])).
% 41.39/27.04 tff(8208,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8209,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 41.39/27.04 tff(8210,plain,
% 41.39/27.04 (v108(constB61)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8209, 746, 8203])).
% 41.39/27.04 tff(8211,plain,
% 41.39/27.04 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8212,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 41.39/27.04 tff(8213,plain,
% 41.39/27.04 (nextState(constB61, constB62)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8212, 8211])).
% 41.39/27.04 tff(8214,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8215,plain,
% 41.39/27.04 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8216,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8215])).
% 41.39/27.04 tff(8217,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8216, 8214])).
% 41.39/27.04 tff(8218,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8219,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8218, 8217])).
% 41.39/27.04 tff(8220,plain,
% 41.39/27.04 (v110(constB62) | (~v108(constB61))),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8219, 731, 8213])).
% 41.39/27.04 tff(8221,plain,
% 41.39/27.04 (v110(constB62)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8220, 8210])).
% 41.39/27.04 tff(8222,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8223,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8224,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8223, 8222])).
% 41.39/27.04 tff(8225,plain,
% 41.39/27.04 (~v104(constB62)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8224, 659, 8213, 8079])).
% 41.39/27.04 tff(8226,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8227,plain,
% 41.39/27.04 (((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)) <=> ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8228,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62)))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8227])).
% 41.39/27.04 tff(8229,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8228, 8226])).
% 41.39/27.04 tff(8230,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8231,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8230, 8229])).
% 41.39/27.04 tff(8232,plain,
% 41.39/27.04 (v104(constB62) | v102(constB62)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8231, 673, 8213])).
% 41.39/27.04 tff(8233,plain,
% 41.39/27.04 (v102(constB62)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8232, 8225])).
% 41.39/27.04 tff(8234,plain,
% 41.39/27.04 (v1(constB62) <=> v1(constB62)),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8235,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 41.39/27.04 tff(8236,plain,
% 41.39/27.04 (v1(constB62)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8235, 8234])).
% 41.39/27.04 tff(8237,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8238,plain,
% 41.39/27.04 (((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))) <=> ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8239,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8238])).
% 41.39/27.04 tff(8240,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8239, 8237])).
% 41.39/27.04 tff(8241,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8242,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8241, 8240])).
% 41.39/27.04 tff(8243,plain,
% 41.39/27.04 (v101(constB62) | (~v102(constB62))),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8242, 694, 8213, 8236])).
% 41.39/27.04 tff(8244,plain,
% 41.39/27.04 (v101(constB62)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8243, 8233])).
% 41.39/27.04 tff(8245,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8246,plain,
% 41.39/27.04 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8247,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8246])).
% 41.39/27.04 tff(8248,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8247, 8245])).
% 41.39/27.04 tff(8249,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8250,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8249, 8248])).
% 41.39/27.04 tff(8251,plain,
% 41.39/27.04 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8250, 712, 8213])).
% 41.39/27.04 tff(8252,plain,
% 41.39/27.04 (v100(constB62) | (~v110(constB62))),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8251, 8244])).
% 41.39/27.04 tff(8253,plain,
% 41.39/27.04 (v100(constB62)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8252, 8221])).
% 41.39/27.04 tff(8254,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8255,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8256,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8255, 8254])).
% 41.39/27.04 tff(8257,plain,
% 41.39/27.04 (v130(constB61, bitIndex2)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8256, 2224, 8169])).
% 41.39/27.04 tff(8258,plain,
% 41.39/27.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8259,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8260,plain,
% 41.39/27.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8259, 8258])).
% 41.39/27.04 tff(8261,plain,
% 41.39/27.04 ((~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8260, 607, 8195])).
% 41.39/27.04 tff(8262,plain,
% 41.39/27.04 (v127(constB61, bitIndex2)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8261, 8257])).
% 41.39/27.04 tff(8263,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8264,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8265,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 41.39/27.04 tff(8266,plain,
% 41.39/27.04 ((~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8265, 625, 8213])).
% 41.39/27.04 tff(8267,plain,
% 41.39/27.04 (v129(constB62, bitIndex2)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8266, 8262])).
% 41.39/27.04 tff(8268,plain,
% 41.39/27.04 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8269,plain,
% 41.39/27.04 ((v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8270,plain,
% 41.39/27.04 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8269])).
% 41.39/27.04 tff(8271,plain,
% 41.39/27.04 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8270, 8268])).
% 41.39/27.04 tff(8272,plain,
% 41.39/27.04 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8273,plain,
% 41.39/27.04 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8272, 8271])).
% 41.39/27.04 tff(8274,plain,
% 41.39/27.04 (v90(constB62, bitIndex2) | (~v100(constB62))),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8273, 641, 8267])).
% 41.39/27.04 tff(8275,plain,
% 41.39/27.04 (v90(constB62, bitIndex2)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8274, 8253])).
% 41.39/27.04 tff(8276,plain,
% 41.39/27.04 ((~v1(constB63)) <=> (~v1(constB63))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8277,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 41.39/27.04 tff(8278,plain,
% 41.39/27.04 (~v1(constB63)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8277, 8276])).
% 41.39/27.04 tff(8279,plain,
% 41.39/27.04 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8280,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 41.39/27.04 tff(8281,plain,
% 41.39/27.04 (nextState(constB62, constB63)),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 41.39/27.04 tff(8282,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8283,plain,
% 41.39/27.04 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8284,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 41.39/27.04 inference(monotonicity,[status(thm)],[8283])).
% 41.39/27.04 tff(8285,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 41.39/27.04 inference(transitivity,[status(thm)],[8284, 8282])).
% 41.39/27.04 tff(8286,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8287,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8286, 8285])).
% 41.39/27.04 tff(8288,plain,
% 41.39/27.04 (~v101(constB63)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8287, 391, 8281, 8278])).
% 41.39/27.04 tff(8289,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 41.39/27.04 inference(rewrite,[status(thm)],[])).
% 41.39/27.04 tff(8290,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 41.39/27.04 inference(quant_inst,[status(thm)],[])).
% 41.39/27.04 tff(8291,plain,
% 41.39/27.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 41.39/27.04 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 41.39/27.04 tff(8292,plain,
% 41.39/27.04 (v101(constB63) | (~v100(constB63))),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8291, 408, 8281])).
% 41.39/27.04 tff(8293,plain,
% 41.39/27.04 (~v100(constB63)),
% 41.39/27.04 inference(unit_resolution,[status(thm)],[8292, 8288])).
% 41.39/27.04 tff(8294,plain,
% 41.39/27.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8295,plain,
% 41.39/27.05 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8296,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2)))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8295])).
% 41.39/27.05 tff(8297,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8296, 8294])).
% 41.39/27.05 tff(8298,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8299,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2)),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8298, 8297])).
% 41.39/27.05 tff(8300,plain,
% 41.39/27.05 ((~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8299, 783, 8281])).
% 41.39/27.05 tff(8301,plain,
% 41.39/27.05 ((~v90(constB62, bitIndex2)) | v90(constB63, bitIndex2)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8300, 8293])).
% 41.39/27.05 tff(8302,plain,
% 41.39/27.05 (v90(constB63, bitIndex2)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8301, 8275])).
% 41.39/27.05 tff(8303,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8304,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8305,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8304, 8303])).
% 41.39/27.05 tff(8306,plain,
% 41.39/27.05 (~v130(constB61, bitIndex1)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8305, 2281, 8169])).
% 41.39/27.05 tff(8307,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8308,plain,
% 41.39/27.05 ((v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1))) <=> ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8309,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8308])).
% 41.39/27.05 tff(8310,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8309, 8307])).
% 41.39/27.05 tff(8311,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8312,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 41.39/27.05 tff(8313,plain,
% 41.39/27.05 ((~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8312, 823, 8195])).
% 41.39/27.05 tff(8314,plain,
% 41.39/27.05 (~v127(constB61, bitIndex1)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8313, 8306])).
% 41.39/27.05 tff(8315,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8316,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8317,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8316, 8315])).
% 41.39/27.05 tff(8318,plain,
% 41.39/27.05 (v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8317, 853, 8213])).
% 41.39/27.05 tff(8319,plain,
% 41.39/27.05 (~v129(constB62, bitIndex1)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8318, 8314])).
% 41.39/27.05 tff(8320,plain,
% 41.39/27.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8321,plain,
% 41.39/27.05 (((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8322,plain,
% 41.39/27.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8321])).
% 41.39/27.05 tff(8323,plain,
% 41.39/27.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8322, 8320])).
% 41.39/27.05 tff(8324,plain,
% 41.39/27.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8325,plain,
% 41.39/27.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 41.39/27.05 tff(8326,plain,
% 41.39/27.05 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8325, 868, 8319])).
% 41.39/27.05 tff(8327,plain,
% 41.39/27.05 (~v90(constB62, bitIndex1)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8326, 8253])).
% 41.39/27.05 tff(8328,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8329,plain,
% 41.39/27.05 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8330,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8329])).
% 41.39/27.05 tff(8331,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8330, 8328])).
% 41.39/27.05 tff(8332,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8333,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 41.39/27.05 tff(8334,plain,
% 41.39/27.05 (v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8333, 444, 8281])).
% 41.39/27.05 tff(8335,plain,
% 41.39/27.05 (v90(constB62, bitIndex1) | (~v90(constB63, bitIndex1))),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8334, 8293])).
% 41.39/27.05 tff(8336,plain,
% 41.39/27.05 (~v90(constB63, bitIndex1)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8335, 8327])).
% 41.39/27.05 tff(8337,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB61)) | (~v130(constB61, bitIndex0)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8338,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex0)))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8339,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB61)) | (~v130(constB61, bitIndex0))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8338, 8337])).
% 41.39/27.05 tff(8340,plain,
% 41.39/27.05 (~v130(constB61, bitIndex0)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8339, 2327, 8169])).
% 41.39/27.05 tff(8341,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8342,plain,
% 41.39/27.05 ((v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0))) <=> ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8343,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0)))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8342])).
% 41.39/27.05 tff(8344,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8343, 8341])).
% 41.39/27.05 tff(8345,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8346,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0)),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 41.39/27.05 tff(8347,plain,
% 41.39/27.05 ((~v127(constB61, bitIndex0)) | v130(constB61, bitIndex0)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8346, 907, 8195])).
% 41.39/27.05 tff(8348,plain,
% 41.39/27.05 (~v127(constB61, bitIndex0)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8347, 8340])).
% 41.39/27.05 tff(8349,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8350,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8351,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8350, 8349])).
% 41.39/27.05 tff(8352,plain,
% 41.39/27.05 (v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8351, 937, 8213])).
% 41.39/27.05 tff(8353,plain,
% 41.39/27.05 (~v129(constB62, bitIndex0)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8352, 8348])).
% 41.39/27.05 tff(8354,plain,
% 41.39/27.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8355,plain,
% 41.39/27.05 (((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8356,plain,
% 41.39/27.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62))))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8355])).
% 41.39/27.05 tff(8357,plain,
% 41.39/27.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8356, 8354])).
% 41.39/27.05 tff(8358,plain,
% 41.39/27.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8359,plain,
% 41.39/27.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 41.39/27.05 tff(8360,plain,
% 41.39/27.05 ((~v90(constB62, bitIndex0)) | (~v100(constB62))),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8359, 952, 8353])).
% 41.39/27.05 tff(8361,plain,
% 41.39/27.05 (~v90(constB62, bitIndex0)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8360, 8253])).
% 41.39/27.05 tff(8362,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8363,plain,
% 41.39/27.05 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8364,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0))))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8363])).
% 41.39/27.05 tff(8365,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8364, 8362])).
% 41.39/27.05 tff(8366,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8367,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8366, 8365])).
% 41.39/27.05 tff(8368,plain,
% 41.39/27.05 (v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8367, 465, 8281])).
% 41.39/27.05 tff(8369,plain,
% 41.39/27.05 (v90(constB62, bitIndex0) | (~v90(constB63, bitIndex0))),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8368, 8293])).
% 41.39/27.05 tff(8370,plain,
% 41.39/27.05 (~v90(constB63, bitIndex0)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8369, 8361])).
% 41.39/27.05 tff(8371,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8372,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8373,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63)),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 41.39/27.05 tff(8374,plain,
% 41.39/27.05 (v123(constB63)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8373, 979, 8370, 8336, 8302])).
% 41.39/27.05 tff(8375,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB63)) | v115(constB63))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8376,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB63)) | v115(constB63))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8377,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB63)) | v115(constB63)),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8376, 8375])).
% 41.39/27.05 tff(8378,plain,
% 41.39/27.05 (v115(constB63)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8377, 990, 8374])).
% 41.39/27.05 tff(8379,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8380,plain,
% 41.39/27.05 (((~v115(constB63)) | v114(constB63)) <=> (v114(constB63) | (~v115(constB63)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8381,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63))))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8380])).
% 41.39/27.05 tff(8382,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8381, 8379])).
% 41.39/27.05 tff(8383,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8384,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8383, 8382])).
% 41.39/27.05 tff(8385,plain,
% 41.39/27.05 (v114(constB63)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8384, 553, 8378])).
% 41.39/27.05 tff(8386,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8387,plain,
% 41.39/27.05 (((~v114(constB63)) | v113(constB63)) <=> (v113(constB63) | (~v114(constB63)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8388,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63))))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8387])).
% 41.39/27.05 tff(8389,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8388, 8386])).
% 41.39/27.05 tff(8390,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8391,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8390, 8389])).
% 41.39/27.05 tff(8392,plain,
% 41.39/27.05 (v113(constB63)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8391, 567, 8385])).
% 41.39/27.05 tff(8393,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8394,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8395,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63)),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8394, 8393])).
% 41.39/27.05 tff(8396,plain,
% 41.39/27.05 (v26(constB63) | v112(constB63)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8395, 581, 8392])).
% 41.39/27.05 tff(8397,plain,
% 41.39/27.05 (v112(constB63)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8396, 114])).
% 41.39/27.05 tff(8398,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8399,plain,
% 41.39/27.05 (((~v112(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v112(constB63)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8400,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63))))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8399])).
% 41.39/27.05 tff(8401,plain,
% 41.39/27.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8400, 8398])).
% 41.39/27.05 tff(8402,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8403,plain,
% 41.39/27.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8402, 8401])).
% 41.39/27.05 tff(8404,plain,
% 41.39/27.05 (v108(constB63)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8403, 746, 8397])).
% 41.39/27.05 tff(8405,plain,
% 41.39/27.05 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8406,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 41.39/27.05 tff(8407,plain,
% 41.39/27.05 (nextState(constB63, constB64)),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 41.39/27.05 tff(8408,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8409,plain,
% 41.39/27.05 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8410,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 41.39/27.05 inference(monotonicity,[status(thm)],[8409])).
% 41.39/27.05 tff(8411,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 41.39/27.05 inference(transitivity,[status(thm)],[8410, 8408])).
% 41.39/27.05 tff(8412,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 41.39/27.05 inference(quant_inst,[status(thm)],[])).
% 41.39/27.05 tff(8413,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 41.39/27.05 inference(modus_ponens,[status(thm)],[8412, 8411])).
% 41.39/27.05 tff(8414,plain,
% 41.39/27.05 (v110(constB64) | (~v108(constB63))),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8413, 731, 8407])).
% 41.39/27.05 tff(8415,plain,
% 41.39/27.05 (v110(constB64)),
% 41.39/27.05 inference(unit_resolution,[status(thm)],[8414, 8404])).
% 41.39/27.05 tff(8416,plain,
% 41.39/27.05 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 41.39/27.05 inference(rewrite,[status(thm)],[])).
% 41.39/27.05 tff(8417,plain,
% 41.39/27.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8418,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8417, 8416])).
% 41.39/27.06 tff(8419,plain,
% 41.39/27.06 (~v104(constB64)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8418, 659, 8407, 8278])).
% 41.39/27.06 tff(8420,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8421,plain,
% 41.39/27.06 (((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)) <=> ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8422,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64)))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8421])).
% 41.39/27.06 tff(8423,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8422, 8420])).
% 41.39/27.06 tff(8424,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8425,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8424, 8423])).
% 41.39/27.06 tff(8426,plain,
% 41.39/27.06 (v104(constB64) | v102(constB64)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8425, 673, 8407])).
% 41.39/27.06 tff(8427,plain,
% 41.39/27.06 (v102(constB64)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8426, 8419])).
% 41.39/27.06 tff(8428,plain,
% 41.39/27.06 (v1(constB64) <=> v1(constB64)),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8429,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 41.39/27.06 tff(8430,plain,
% 41.39/27.06 (v1(constB64)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8429, 8428])).
% 41.39/27.06 tff(8431,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8432,plain,
% 41.39/27.06 (((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))) <=> ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8433,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64))))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8432])).
% 41.39/27.06 tff(8434,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8433, 8431])).
% 41.39/27.06 tff(8435,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8436,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64))),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8435, 8434])).
% 41.39/27.06 tff(8437,plain,
% 41.39/27.06 (v101(constB64) | (~v102(constB64))),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8436, 694, 8407, 8430])).
% 41.39/27.06 tff(8438,plain,
% 41.39/27.06 (v101(constB64)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8437, 8427])).
% 41.39/27.06 tff(8439,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8440,plain,
% 41.39/27.06 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8441,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8440])).
% 41.39/27.06 tff(8442,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8441, 8439])).
% 41.39/27.06 tff(8443,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8444,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 41.39/27.06 tff(8445,plain,
% 41.39/27.06 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8444, 712, 8407])).
% 41.39/27.06 tff(8446,plain,
% 41.39/27.06 (v100(constB64) | (~v110(constB64))),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8445, 8438])).
% 41.39/27.06 tff(8447,plain,
% 41.39/27.06 (v100(constB64)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8446, 8415])).
% 41.39/27.06 tff(8448,plain,
% 41.39/27.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB63)) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB63)) | v130(constB63, bitIndex2))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8449,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB63)) | v130(constB63, bitIndex2))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8450,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB63)) | v130(constB63, bitIndex2)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8449, 8448])).
% 41.39/27.06 tff(8451,plain,
% 41.39/27.06 (v130(constB63, bitIndex2)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8450, 1074, 8374])).
% 41.39/27.06 tff(8452,plain,
% 41.39/27.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8453,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8454,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8453, 8452])).
% 41.39/27.06 tff(8455,plain,
% 41.39/27.06 (v26(constB63) | v127(constB63, bitIndex2)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8454, 607, 8451])).
% 41.39/27.06 tff(8456,plain,
% 41.39/27.06 (v127(constB63, bitIndex2)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8455, 114])).
% 41.39/27.06 tff(8457,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8458,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8459,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 41.39/27.06 tff(8460,plain,
% 41.39/27.06 ((~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8459, 625, 8407])).
% 41.39/27.06 tff(8461,plain,
% 41.39/27.06 (v129(constB64, bitIndex2)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8460, 8456])).
% 41.39/27.06 tff(8462,plain,
% 41.39/27.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8463,plain,
% 41.39/27.06 ((v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8464,plain,
% 41.39/27.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64))))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8463])).
% 41.39/27.06 tff(8465,plain,
% 41.39/27.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8464, 8462])).
% 41.39/27.06 tff(8466,plain,
% 41.39/27.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8467,plain,
% 41.39/27.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64))),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 41.39/27.06 tff(8468,plain,
% 41.39/27.06 (v90(constB64, bitIndex2) | (~v100(constB64))),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8467, 641, 8461])).
% 41.39/27.06 tff(8469,plain,
% 41.39/27.06 (v90(constB64, bitIndex2)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8468, 8447])).
% 41.39/27.06 tff(8470,plain,
% 41.39/27.06 ((~v1(constB65)) <=> (~v1(constB65))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8471,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 41.39/27.06 tff(8472,plain,
% 41.39/27.06 (~v1(constB65)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8471, 8470])).
% 41.39/27.06 tff(8473,plain,
% 41.39/27.06 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8474,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 41.39/27.06 tff(8475,plain,
% 41.39/27.06 (nextState(constB64, constB65)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 41.39/27.06 tff(8476,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8477,plain,
% 41.39/27.06 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8478,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8477])).
% 41.39/27.06 tff(8479,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8478, 8476])).
% 41.39/27.06 tff(8480,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8481,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8480, 8479])).
% 41.39/27.06 tff(8482,plain,
% 41.39/27.06 (~v101(constB65)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8481, 391, 8475, 8472])).
% 41.39/27.06 tff(8483,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8484,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8485,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8484, 8483])).
% 41.39/27.06 tff(8486,plain,
% 41.39/27.06 (v101(constB65) | (~v100(constB65))),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8485, 408, 8475])).
% 41.39/27.06 tff(8487,plain,
% 41.39/27.06 (~v100(constB65)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8486, 8482])).
% 41.39/27.06 tff(8488,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8489,plain,
% 41.39/27.06 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8490,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2)))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8489])).
% 41.39/27.06 tff(8491,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8490, 8488])).
% 41.39/27.06 tff(8492,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8493,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8492, 8491])).
% 41.39/27.06 tff(8494,plain,
% 41.39/27.06 ((~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8493, 783, 8475])).
% 41.39/27.06 tff(8495,plain,
% 41.39/27.06 ((~v90(constB64, bitIndex2)) | v90(constB65, bitIndex2)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8494, 8487])).
% 41.39/27.06 tff(8496,plain,
% 41.39/27.06 (v90(constB65, bitIndex2)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8495, 8469])).
% 41.39/27.06 tff(8497,plain,
% 41.39/27.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB63)) | v130(constB63, bitIndex1))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8498,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB63)) | v130(constB63, bitIndex1))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8499,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB63)) | v130(constB63, bitIndex1)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8498, 8497])).
% 41.39/27.06 tff(8500,plain,
% 41.39/27.06 (v130(constB63, bitIndex1)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8499, 1130, 8374])).
% 41.39/27.06 tff(8501,plain,
% 41.39/27.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8502,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8503,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8502, 8501])).
% 41.39/27.06 tff(8504,plain,
% 41.39/27.06 (v26(constB63) | v127(constB63, bitIndex1)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8503, 1144, 8500])).
% 41.39/27.06 tff(8505,plain,
% 41.39/27.06 (v127(constB63, bitIndex1)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8504, 114])).
% 41.39/27.06 tff(8506,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8507,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8508,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8507, 8506])).
% 41.39/27.06 tff(8509,plain,
% 41.39/27.06 ((~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8508, 1159, 8407])).
% 41.39/27.06 tff(8510,plain,
% 41.39/27.06 (v129(constB64, bitIndex1)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8509, 8505])).
% 41.39/27.06 tff(8511,plain,
% 41.39/27.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8512,plain,
% 41.39/27.06 ((v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8513,plain,
% 41.39/27.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8512])).
% 41.39/27.06 tff(8514,plain,
% 41.39/27.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8513, 8511])).
% 41.39/27.06 tff(8515,plain,
% 41.39/27.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8516,plain,
% 41.39/27.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8515, 8514])).
% 41.39/27.06 tff(8517,plain,
% 41.39/27.06 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8516, 1174, 8510])).
% 41.39/27.06 tff(8518,plain,
% 41.39/27.06 (v90(constB64, bitIndex1)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8517, 8447])).
% 41.39/27.06 tff(8519,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8520,plain,
% 41.39/27.06 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8521,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8520])).
% 41.39/27.06 tff(8522,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8521, 8519])).
% 41.39/27.06 tff(8523,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8524,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 41.39/27.06 tff(8525,plain,
% 41.39/27.06 ((~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8524, 1192, 8475])).
% 41.39/27.06 tff(8526,plain,
% 41.39/27.06 ((~v90(constB64, bitIndex1)) | v90(constB65, bitIndex1)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8525, 8487])).
% 41.39/27.06 tff(8527,plain,
% 41.39/27.06 (v90(constB65, bitIndex1)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8526, 8518])).
% 41.39/27.06 tff(8528,plain,
% 41.39/27.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB63)) | (~v130(constB63, bitIndex0)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8529,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex0)))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8530,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB63)) | (~v130(constB63, bitIndex0))),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 41.39/27.06 tff(8531,plain,
% 41.39/27.06 (~v130(constB63, bitIndex0)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8530, 1208, 8374])).
% 41.39/27.06 tff(8532,plain,
% 41.39/27.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8533,plain,
% 41.39/27.06 ((v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0))) <=> ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8534,plain,
% 41.39/27.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8533])).
% 41.39/27.06 tff(8535,plain,
% 41.39/27.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8534, 8532])).
% 41.39/27.06 tff(8536,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8537,plain,
% 41.39/27.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8536, 8535])).
% 41.39/27.06 tff(8538,plain,
% 41.39/27.06 ((~v127(constB63, bitIndex0)) | v26(constB63)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8537, 907, 8531])).
% 41.39/27.06 tff(8539,plain,
% 41.39/27.06 (~v127(constB63, bitIndex0)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8538, 114])).
% 41.39/27.06 tff(8540,plain,
% 41.39/27.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8541,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8542,plain,
% 41.39/27.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 41.39/27.06 inference(modus_ponens,[status(thm)],[8541, 8540])).
% 41.39/27.06 tff(8543,plain,
% 41.39/27.06 (v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8542, 937, 8407])).
% 41.39/27.06 tff(8544,plain,
% 41.39/27.06 (~v129(constB64, bitIndex0)),
% 41.39/27.06 inference(unit_resolution,[status(thm)],[8543, 8539])).
% 41.39/27.06 tff(8545,plain,
% 41.39/27.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8546,plain,
% 41.39/27.06 (((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 41.39/27.06 inference(rewrite,[status(thm)],[])).
% 41.39/27.06 tff(8547,plain,
% 41.39/27.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))))),
% 41.39/27.06 inference(monotonicity,[status(thm)],[8546])).
% 41.39/27.06 tff(8548,plain,
% 41.39/27.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 41.39/27.06 inference(transitivity,[status(thm)],[8547, 8545])).
% 41.39/27.06 tff(8549,plain,
% 41.39/27.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))),
% 41.39/27.06 inference(quant_inst,[status(thm)],[])).
% 41.39/27.06 tff(8550,plain,
% 41.39/27.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8549, 8548])).
% 41.39/27.07 tff(8551,plain,
% 41.39/27.07 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8550, 952, 8544])).
% 41.39/27.07 tff(8552,plain,
% 41.39/27.07 (~v90(constB64, bitIndex0)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8551, 8447])).
% 41.39/27.07 tff(8553,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8554,plain,
% 41.39/27.07 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8555,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))))),
% 41.39/27.07 inference(monotonicity,[status(thm)],[8554])).
% 41.39/27.07 tff(8556,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 41.39/27.07 inference(transitivity,[status(thm)],[8555, 8553])).
% 41.39/27.07 tff(8557,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8558,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8557, 8556])).
% 41.39/27.07 tff(8559,plain,
% 41.39/27.07 (v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8558, 465, 8475])).
% 41.39/27.07 tff(8560,plain,
% 41.39/27.07 (v90(constB64, bitIndex0) | (~v90(constB65, bitIndex0))),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8559, 8487])).
% 41.39/27.07 tff(8561,plain,
% 41.39/27.07 (~v90(constB65, bitIndex0)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8560, 8552])).
% 41.39/27.07 tff(8562,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8563,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8564,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65)),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8563, 8562])).
% 41.39/27.07 tff(8565,plain,
% 41.39/27.07 (v125(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8564, 1252, 8561, 8527, 8496])).
% 41.39/27.07 tff(8566,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v125(constB65)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v125(constB65)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8567,plain,
% 41.39/27.07 (((~v125(constB65)) | v113(constB65)) <=> (v113(constB65) | (~v125(constB65)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8568,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v125(constB65))))),
% 41.39/27.07 inference(monotonicity,[status(thm)],[8567])).
% 41.39/27.07 tff(8569,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v125(constB65)))),
% 41.39/27.07 inference(transitivity,[status(thm)],[8568, 8566])).
% 41.39/27.07 tff(8570,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB65)) | v113(constB65))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8571,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v125(constB65))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 41.39/27.07 tff(8572,plain,
% 41.39/27.07 (v113(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8571, 1263, 8565])).
% 41.39/27.07 tff(8573,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8574,plain,
% 41.39/27.07 ((v26(constB65) | (~v113(constB65)) | v112(constB65)) <=> (v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8575,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65))))),
% 41.39/27.07 inference(monotonicity,[status(thm)],[8574])).
% 41.39/27.07 tff(8576,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 41.39/27.07 inference(transitivity,[status(thm)],[8575, 8573])).
% 41.39/27.07 tff(8577,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8578,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8577, 8576])).
% 41.39/27.07 tff(8579,plain,
% 41.39/27.07 (v26(constB65) | v112(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8578, 581, 8572])).
% 41.39/27.07 tff(8580,plain,
% 41.39/27.07 (v112(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8579, 110])).
% 41.39/27.07 tff(8581,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8582,plain,
% 41.39/27.07 (((~v112(constB65)) | v108(constB65)) <=> (v108(constB65) | (~v112(constB65)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8583,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65))))),
% 41.39/27.07 inference(monotonicity,[status(thm)],[8582])).
% 41.39/27.07 tff(8584,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 41.39/27.07 inference(transitivity,[status(thm)],[8583, 8581])).
% 41.39/27.07 tff(8585,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8586,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 41.39/27.07 tff(8587,plain,
% 41.39/27.07 (v108(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8586, 746, 8580])).
% 41.39/27.07 tff(8588,plain,
% 41.39/27.07 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8589,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 41.39/27.07 tff(8590,plain,
% 41.39/27.07 (nextState(constB65, constB66)),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8589, 8588])).
% 41.39/27.07 tff(8591,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8592,plain,
% 41.39/27.07 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8593,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 41.39/27.07 inference(monotonicity,[status(thm)],[8592])).
% 41.39/27.07 tff(8594,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 41.39/27.07 inference(transitivity,[status(thm)],[8593, 8591])).
% 41.39/27.07 tff(8595,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8596,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8595, 8594])).
% 41.39/27.07 tff(8597,plain,
% 41.39/27.07 (v110(constB66) | (~v108(constB65))),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8596, 731, 8590])).
% 41.39/27.07 tff(8598,plain,
% 41.39/27.07 (v110(constB66)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8597, 8587])).
% 41.39/27.07 tff(8599,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8600,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8601,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8600, 8599])).
% 41.39/27.07 tff(8602,plain,
% 41.39/27.07 (~v104(constB66)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8601, 659, 8590, 8472])).
% 41.39/27.07 tff(8603,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8604,plain,
% 41.39/27.07 (((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)) <=> ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8605,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66)))),
% 41.39/27.07 inference(monotonicity,[status(thm)],[8604])).
% 41.39/27.07 tff(8606,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 41.39/27.07 inference(transitivity,[status(thm)],[8605, 8603])).
% 41.39/27.07 tff(8607,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8608,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66)),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8607, 8606])).
% 41.39/27.07 tff(8609,plain,
% 41.39/27.07 (v104(constB66) | v102(constB66)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8608, 673, 8590])).
% 41.39/27.07 tff(8610,plain,
% 41.39/27.07 (v102(constB66)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8609, 8602])).
% 41.39/27.07 tff(8611,plain,
% 41.39/27.07 (v1(constB66) <=> v1(constB66)),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8612,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 41.39/27.07 tff(8613,plain,
% 41.39/27.07 (v1(constB66)),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8612, 8611])).
% 41.39/27.07 tff(8614,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8615,plain,
% 41.39/27.07 (((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))) <=> ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8616,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66))))),
% 41.39/27.07 inference(monotonicity,[status(thm)],[8615])).
% 41.39/27.07 tff(8617,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 41.39/27.07 inference(transitivity,[status(thm)],[8616, 8614])).
% 41.39/27.07 tff(8618,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8619,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8618, 8617])).
% 41.39/27.07 tff(8620,plain,
% 41.39/27.07 (v101(constB66) | (~v102(constB66))),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8619, 694, 8590, 8613])).
% 41.39/27.07 tff(8621,plain,
% 41.39/27.07 (v101(constB66)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8620, 8610])).
% 41.39/27.07 tff(8622,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8623,plain,
% 41.39/27.07 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8624,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 41.39/27.07 inference(monotonicity,[status(thm)],[8623])).
% 41.39/27.07 tff(8625,plain,
% 41.39/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 41.39/27.07 inference(transitivity,[status(thm)],[8624, 8622])).
% 41.39/27.07 tff(8626,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8627,plain,
% 41.39/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8626, 8625])).
% 41.39/27.07 tff(8628,plain,
% 41.39/27.07 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8627, 712, 8590])).
% 41.39/27.07 tff(8629,plain,
% 41.39/27.07 (v100(constB66) | (~v110(constB66))),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8628, 8621])).
% 41.39/27.07 tff(8630,plain,
% 41.39/27.07 (v100(constB66)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8629, 8598])).
% 41.39/27.07 tff(8631,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v90(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v90(constB65, bitIndex2)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8632,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v90(constB65, bitIndex2)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8633,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v90(constB65, bitIndex2))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8632, 8631])).
% 41.39/27.07 tff(8634,plain,
% 41.39/27.07 (~v121(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8633, 1336, 8496])).
% 41.39/27.07 tff(8635,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB65)) | (~v90(constB65, bitIndex1)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8636,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB65)) | (~v90(constB65, bitIndex1)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8637,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB65)) | (~v90(constB65, bitIndex1))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8636, 8635])).
% 41.39/27.07 tff(8638,plain,
% 41.39/27.07 (~v120(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8637, 1391, 8527])).
% 41.39/27.07 tff(8639,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB65)) | (~v90(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB65)) | (~v90(constB65, bitIndex2)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8640,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB65)) | (~v90(constB65, bitIndex2)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8641,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB65)) | (~v90(constB65, bitIndex2))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8640, 8639])).
% 41.39/27.07 tff(8642,plain,
% 41.39/27.07 (~v122(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8641, 1347, 8496])).
% 41.39/27.07 tff(8643,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB65)) | (~v90(constB65, bitIndex1)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8644,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB65)) | (~v90(constB65, bitIndex1)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8645,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB65)) | (~v90(constB65, bitIndex1))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 41.39/27.07 tff(8646,plain,
% 41.39/27.07 (~v124(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8645, 1369, 8527])).
% 41.39/27.07 tff(8647,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB65)) | (~v90(constB65, bitIndex1)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8648,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB65)) | (~v90(constB65, bitIndex1)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8649,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB65)) | (~v90(constB65, bitIndex1))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8648, 8647])).
% 41.39/27.07 tff(8650,plain,
% 41.39/27.07 (~v123(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8649, 1358, 8527])).
% 41.39/27.07 tff(8651,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v90(constB65, bitIndex1)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8652,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v90(constB65, bitIndex1)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8653,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v90(constB65, bitIndex1))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8652, 8651])).
% 41.39/27.07 tff(8654,plain,
% 41.39/27.07 (~v119(constB65)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8653, 1380, 8527])).
% 41.39/27.07 tff(8655,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8656,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))),
% 41.39/27.07 inference(quant_inst,[status(thm)],[])).
% 41.39/27.07 tff(8657,plain,
% 41.39/27.07 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2))),
% 41.39/27.07 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 41.39/27.07 tff(8658,plain,
% 41.39/27.07 (~v130(constB65, bitIndex2)),
% 41.39/27.07 inference(unit_resolution,[status(thm)],[8657, 1405, 8654, 8650, 8646, 8642, 8638, 8634])).
% 41.39/27.07 tff(8659,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8660,plain,
% 41.39/27.07 ((v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2))) <=> ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 41.39/27.07 inference(rewrite,[status(thm)],[])).
% 41.39/27.07 tff(8661,plain,
% 41.39/27.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)))),
% 41.48/27.07 inference(monotonicity,[status(thm)],[8660])).
% 41.48/27.07 tff(8662,plain,
% 41.48/27.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 41.48/27.07 inference(transitivity,[status(thm)],[8661, 8659])).
% 41.48/27.07 tff(8663,plain,
% 41.48/27.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))),
% 41.48/27.07 inference(quant_inst,[status(thm)],[])).
% 41.48/27.07 tff(8664,plain,
% 41.48/27.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)),
% 41.48/27.07 inference(modus_ponens,[status(thm)],[8663, 8662])).
% 41.48/27.07 tff(8665,plain,
% 41.48/27.07 ((~v127(constB65, bitIndex2)) | v26(constB65)),
% 41.48/27.07 inference(unit_resolution,[status(thm)],[8664, 1419, 8658])).
% 41.48/27.07 tff(8666,plain,
% 41.48/27.07 (~v127(constB65, bitIndex2)),
% 41.48/27.07 inference(unit_resolution,[status(thm)],[8665, 110])).
% 41.48/27.07 tff(8667,plain,
% 41.48/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 41.48/27.07 inference(rewrite,[status(thm)],[])).
% 41.48/27.07 tff(8668,plain,
% 41.48/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 41.48/27.07 inference(quant_inst,[status(thm)],[])).
% 41.48/27.07 tff(8669,plain,
% 41.48/27.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 41.48/27.07 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 41.48/27.07 tff(8670,plain,
% 41.48/27.07 (v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 41.48/27.07 inference(unit_resolution,[status(thm)],[8669, 1437, 8590])).
% 41.48/27.07 tff(8671,plain,
% 41.48/27.07 (~v129(constB66, bitIndex2)),
% 41.48/27.07 inference(unit_resolution,[status(thm)],[8670, 8666])).
% 41.48/27.07 tff(8672,plain,
% 41.48/27.07 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 41.48/27.07 inference(rewrite,[status(thm)],[])).
% 41.48/27.07 tff(8673,plain,
% 41.48/27.07 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 41.48/27.07 inference(quant_inst,[status(thm)],[])).
% 41.48/27.07 tff(8674,plain,
% 41.48/27.07 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))),
% 41.48/27.07 inference(modus_ponens,[status(thm)],[8673, 8672])).
% 41.48/27.07 tff(8675,plain,
% 41.48/27.07 ((~v90(constB66, bitIndex2)) | (~v100(constB66))),
% 41.48/27.07 inference(unit_resolution,[status(thm)],[8674, 1452, 8671])).
% 41.48/27.07 tff(8676,plain,
% 41.48/27.07 (~v90(constB66, bitIndex2)),
% 41.48/27.07 inference(unit_resolution,[status(thm)],[8675, 8630])).
% 41.48/27.07 tff(8677,plain,
% 41.48/27.07 ((~v1(constB67)) <=> (~v1(constB67))),
% 41.48/27.07 inference(rewrite,[status(thm)],[])).
% 41.48/27.07 tff(8678,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 41.48/27.07 tff(8679,plain,
% 41.48/27.07 (~v1(constB67)),
% 41.48/27.07 inference(modus_ponens,[status(thm)],[8678, 8677])).
% 41.48/27.07 tff(8680,plain,
% 41.48/27.07 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 41.48/27.07 inference(rewrite,[status(thm)],[])).
% 41.48/27.07 tff(8681,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 41.48/27.07 tff(8682,plain,
% 41.48/27.07 (nextState(constB66, constB67)),
% 41.48/27.07 inference(modus_ponens,[status(thm)],[8681, 8680])).
% 41.48/27.07 tff(8683,plain,
% 41.48/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 41.48/27.07 inference(rewrite,[status(thm)],[])).
% 41.48/27.07 tff(8684,plain,
% 41.48/27.07 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 41.48/27.07 inference(rewrite,[status(thm)],[])).
% 41.48/27.07 tff(8685,plain,
% 41.48/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 41.48/27.07 inference(monotonicity,[status(thm)],[8684])).
% 41.48/27.07 tff(8686,plain,
% 41.48/27.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8685, 8683])).
% 41.48/27.08 tff(8687,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8688,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8687, 8686])).
% 41.48/27.08 tff(8689,plain,
% 41.48/27.08 (~v101(constB67)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8688, 391, 8682, 8679])).
% 41.48/27.08 tff(8690,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8691,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8692,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8691, 8690])).
% 41.48/27.08 tff(8693,plain,
% 41.48/27.08 (v101(constB67) | (~v100(constB67))),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8692, 408, 8682])).
% 41.48/27.08 tff(8694,plain,
% 41.48/27.08 (~v100(constB67)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8693, 8689])).
% 41.48/27.08 tff(8695,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8696,plain,
% 41.48/27.08 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8697,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8696])).
% 41.48/27.08 tff(8698,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8697, 8695])).
% 41.48/27.08 tff(8699,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8700,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 41.48/27.08 tff(8701,plain,
% 41.48/27.08 (v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8700, 423, 8682])).
% 41.48/27.08 tff(8702,plain,
% 41.48/27.08 (v90(constB66, bitIndex2) | (~v90(constB67, bitIndex2))),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8701, 8694])).
% 41.48/27.08 tff(8703,plain,
% 41.48/27.08 (~v90(constB67, bitIndex2)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8702, 8676])).
% 41.48/27.08 tff(8704,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8705,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8706,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 41.48/27.08 tff(8707,plain,
% 41.48/27.08 (~v130(constB65, bitIndex1)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8706, 1494, 8654, 8650, 8646, 8642, 8638, 8634])).
% 41.48/27.08 tff(8708,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8709,plain,
% 41.48/27.08 ((v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1))) <=> ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8710,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8709])).
% 41.48/27.08 tff(8711,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8710, 8708])).
% 41.48/27.08 tff(8712,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8713,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8712, 8711])).
% 41.48/27.08 tff(8714,plain,
% 41.48/27.08 ((~v127(constB65, bitIndex1)) | v26(constB65)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8713, 823, 8707])).
% 41.48/27.08 tff(8715,plain,
% 41.48/27.08 (~v127(constB65, bitIndex1)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8714, 110])).
% 41.48/27.08 tff(8716,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8717,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8718,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8717, 8716])).
% 41.48/27.08 tff(8719,plain,
% 41.48/27.08 (v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8718, 853, 8590])).
% 41.48/27.08 tff(8720,plain,
% 41.48/27.08 (~v129(constB66, bitIndex1)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8719, 8715])).
% 41.48/27.08 tff(8721,plain,
% 41.48/27.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8722,plain,
% 41.48/27.08 (((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8723,plain,
% 41.48/27.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8722])).
% 41.48/27.08 tff(8724,plain,
% 41.48/27.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8723, 8721])).
% 41.48/27.08 tff(8725,plain,
% 41.48/27.08 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8726,plain,
% 41.48/27.08 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8725, 8724])).
% 41.48/27.08 tff(8727,plain,
% 41.48/27.08 ((~v90(constB66, bitIndex1)) | (~v100(constB66))),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8726, 868, 8720])).
% 41.48/27.08 tff(8728,plain,
% 41.48/27.08 (~v90(constB66, bitIndex1)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8727, 8630])).
% 41.48/27.08 tff(8729,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8730,plain,
% 41.48/27.08 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8731,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1))))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8730])).
% 41.48/27.08 tff(8732,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8731, 8729])).
% 41.48/27.08 tff(8733,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8734,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 41.48/27.08 tff(8735,plain,
% 41.48/27.08 (v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8734, 444, 8682])).
% 41.48/27.08 tff(8736,plain,
% 41.48/27.08 (v90(constB66, bitIndex1) | (~v90(constB67, bitIndex1))),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8735, 8694])).
% 41.48/27.08 tff(8737,plain,
% 41.48/27.08 (~v90(constB67, bitIndex1)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8736, 8728])).
% 41.48/27.08 tff(8738,assumption,(~v130(constB65, bitIndex0)), introduced(assumption)).
% 41.48/27.08 tff(8739,assumption,(~v123(constB65)), introduced(assumption)).
% 41.48/27.08 tff(8740,assumption,(~v119(constB65)), introduced(assumption)).
% 41.48/27.08 tff(8741,assumption,(~v120(constB65)), introduced(assumption)).
% 41.48/27.08 tff(8742,assumption,(~v122(constB65)), introduced(assumption)).
% 41.48/27.08 tff(8743,assumption,(~v124(constB65)), introduced(assumption)).
% 41.48/27.08 tff(8744,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8745,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8746,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0)),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 41.48/27.08 tff(8747,plain,
% 41.48/27.08 (v119(constB65) | v121(constB65) | v123(constB65) | v130(constB65, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8746, 1538, 8743, 8742, 8741])).
% 41.48/27.08 tff(8748,plain,
% 41.48/27.08 (v121(constB65)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8747, 8738, 8740, 8739])).
% 41.48/27.08 tff(8749,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8750,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8751,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0)),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8750, 8749])).
% 41.48/27.08 tff(8752,plain,
% 41.48/27.08 ($false),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8751, 2088, 8748, 8738])).
% 41.48/27.08 tff(8753,plain,(v130(constB65, bitIndex0) | v119(constB65) | v123(constB65) | v124(constB65) | v122(constB65) | v120(constB65)), inference(lemma,lemma(discharge,[]))).
% 41.48/27.08 tff(8754,plain,
% 41.48/27.08 (v130(constB65, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8753, 8654, 8638, 8646, 8642, 8650])).
% 41.48/27.08 tff(8755,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8756,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8757,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8756, 8755])).
% 41.48/27.08 tff(8758,plain,
% 41.48/27.08 (v26(constB65) | v127(constB65, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8757, 1552, 8754])).
% 41.48/27.08 tff(8759,plain,
% 41.48/27.08 (v127(constB65, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8758, 110])).
% 41.48/27.08 tff(8760,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8761,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8762,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8761, 8760])).
% 41.48/27.08 tff(8763,plain,
% 41.48/27.08 ((~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8762, 1567, 8590])).
% 41.48/27.08 tff(8764,plain,
% 41.48/27.08 (v129(constB66, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8763, 8759])).
% 41.48/27.08 tff(8765,plain,
% 41.48/27.08 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8766,plain,
% 41.48/27.08 ((v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8767,plain,
% 41.48/27.08 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8766])).
% 41.48/27.08 tff(8768,plain,
% 41.48/27.08 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8767, 8765])).
% 41.48/27.08 tff(8769,plain,
% 41.48/27.08 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8770,plain,
% 41.48/27.08 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8769, 8768])).
% 41.48/27.08 tff(8771,plain,
% 41.48/27.08 (v90(constB66, bitIndex0) | (~v100(constB66))),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8770, 1582, 8764])).
% 41.48/27.08 tff(8772,plain,
% 41.48/27.08 (v90(constB66, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8771, 8630])).
% 41.48/27.08 tff(8773,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8774,plain,
% 41.48/27.08 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8775,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8774])).
% 41.48/27.08 tff(8776,plain,
% 41.48/27.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8775, 8773])).
% 41.48/27.08 tff(8777,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8778,plain,
% 41.48/27.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 41.48/27.08 tff(8779,plain,
% 41.48/27.08 ((~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8778, 1600, 8682])).
% 41.48/27.08 tff(8780,plain,
% 41.48/27.08 ((~v90(constB66, bitIndex0)) | v90(constB67, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8779, 8694])).
% 41.48/27.08 tff(8781,plain,
% 41.48/27.08 (v90(constB67, bitIndex0)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8780, 8772])).
% 41.48/27.08 tff(8782,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8783,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8784,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67)),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 41.48/27.08 tff(8785,plain,
% 41.48/27.08 (v120(constB67)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8784, 1619, 8781, 8737, 8703])).
% 41.48/27.08 tff(8786,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB67)) | v118(constB67))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB67)) | v118(constB67))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8787,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB67)) | v118(constB67))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8788,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB67)) | v118(constB67)),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8787, 8786])).
% 41.48/27.08 tff(8789,plain,
% 41.48/27.08 (v118(constB67)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8788, 1630, 8785])).
% 41.48/27.08 tff(8790,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB67) | (~v118(constB67)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB67) | (~v118(constB67)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8791,plain,
% 41.48/27.08 (((~v118(constB67)) | v117(constB67)) <=> (v117(constB67) | (~v118(constB67)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8792,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB67)) | v117(constB67))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB67) | (~v118(constB67))))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8791])).
% 41.48/27.08 tff(8793,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB67)) | v117(constB67))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB67) | (~v118(constB67)))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8792, 8790])).
% 41.48/27.08 tff(8794,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB67)) | v117(constB67))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8795,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB67) | (~v118(constB67))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8794, 8793])).
% 41.48/27.08 tff(8796,plain,
% 41.48/27.08 (v117(constB67)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8795, 511, 8789])).
% 41.48/27.08 tff(8797,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB67) | (~v117(constB67)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB67) | (~v117(constB67)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8798,plain,
% 41.48/27.08 (((~v117(constB67)) | v116(constB67)) <=> (v116(constB67) | (~v117(constB67)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8799,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB67) | (~v117(constB67))))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8798])).
% 41.48/27.08 tff(8800,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB67) | (~v117(constB67)))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8799, 8797])).
% 41.48/27.08 tff(8801,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB67)) | v116(constB67))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8802,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB67) | (~v117(constB67))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 41.48/27.08 tff(8803,plain,
% 41.48/27.08 (v116(constB67)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8802, 525, 8796])).
% 41.48/27.08 tff(8804,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8805,plain,
% 41.48/27.08 (((~v116(constB67)) | v115(constB67)) <=> (v115(constB67) | (~v116(constB67)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8806,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB67) | (~v116(constB67))))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8805])).
% 41.48/27.08 tff(8807,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67)))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8806, 8804])).
% 41.48/27.08 tff(8808,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8809,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67))),
% 41.48/27.08 inference(modus_ponens,[status(thm)],[8808, 8807])).
% 41.48/27.08 tff(8810,plain,
% 41.48/27.08 (v115(constB67)),
% 41.48/27.08 inference(unit_resolution,[status(thm)],[8809, 539, 8803])).
% 41.48/27.08 tff(8811,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8812,plain,
% 41.48/27.08 (((~v115(constB67)) | v114(constB67)) <=> (v114(constB67) | (~v115(constB67)))),
% 41.48/27.08 inference(rewrite,[status(thm)],[])).
% 41.48/27.08 tff(8813,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67))))),
% 41.48/27.08 inference(monotonicity,[status(thm)],[8812])).
% 41.48/27.08 tff(8814,plain,
% 41.48/27.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 41.48/27.08 inference(transitivity,[status(thm)],[8813, 8811])).
% 41.48/27.08 tff(8815,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))),
% 41.48/27.08 inference(quant_inst,[status(thm)],[])).
% 41.48/27.08 tff(8816,plain,
% 41.48/27.08 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8815, 8814])).
% 41.48/27.09 tff(8817,plain,
% 41.48/27.09 (v114(constB67)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8816, 553, 8810])).
% 41.48/27.09 tff(8818,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8819,plain,
% 41.48/27.09 (((~v114(constB67)) | v113(constB67)) <=> (v113(constB67) | (~v114(constB67)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8820,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67))))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8819])).
% 41.48/27.09 tff(8821,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8820, 8818])).
% 41.48/27.09 tff(8822,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8823,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8822, 8821])).
% 41.48/27.09 tff(8824,plain,
% 41.48/27.09 (v113(constB67)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8823, 567, 8817])).
% 41.48/27.09 tff(8825,assumption,(v26(constB67)), introduced(assumption)).
% 41.48/27.09 tff(8826,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8827,plain,
% 41.48/27.09 ($false),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8826, 95, 8825])).
% 41.48/27.09 tff(8828,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 41.48/27.09 tff(8829,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8830,plain,
% 41.48/27.09 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8831,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67))))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8830])).
% 41.48/27.09 tff(8832,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8831, 8829])).
% 41.48/27.09 tff(8833,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8834,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 41.48/27.09 tff(8835,plain,
% 41.48/27.09 (v112(constB67) | (~v113(constB67))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8834, 581, 8828])).
% 41.48/27.09 tff(8836,plain,
% 41.48/27.09 (v112(constB67)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8835, 8824])).
% 41.48/27.09 tff(8837,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8838,plain,
% 41.48/27.09 (((~v112(constB67)) | v108(constB67)) <=> (v108(constB67) | (~v112(constB67)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8839,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67))))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8838])).
% 41.48/27.09 tff(8840,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8839, 8837])).
% 41.48/27.09 tff(8841,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8842,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8841, 8840])).
% 41.48/27.09 tff(8843,plain,
% 41.48/27.09 (v108(constB67)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8842, 746, 8836])).
% 41.48/27.09 tff(8844,plain,
% 41.48/27.09 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8845,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 41.48/27.09 tff(8846,plain,
% 41.48/27.09 (nextState(constB67, constB68)),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 41.48/27.09 tff(8847,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8848,plain,
% 41.48/27.09 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8849,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8848])).
% 41.48/27.09 tff(8850,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8849, 8847])).
% 41.48/27.09 tff(8851,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8852,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8851, 8850])).
% 41.48/27.09 tff(8853,plain,
% 41.48/27.09 (v110(constB68) | (~v108(constB67))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8852, 731, 8846])).
% 41.48/27.09 tff(8854,plain,
% 41.48/27.09 (v110(constB68)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8853, 8843])).
% 41.48/27.09 tff(8855,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8856,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8857,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 41.48/27.09 tff(8858,plain,
% 41.48/27.09 (~v104(constB68)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8857, 659, 8846, 8679])).
% 41.48/27.09 tff(8859,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8860,plain,
% 41.48/27.09 (((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)) <=> ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8861,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68)))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8860])).
% 41.48/27.09 tff(8862,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8861, 8859])).
% 41.48/27.09 tff(8863,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8864,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68)),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8863, 8862])).
% 41.48/27.09 tff(8865,plain,
% 41.48/27.09 (v104(constB68) | v102(constB68)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8864, 673, 8846])).
% 41.48/27.09 tff(8866,plain,
% 41.48/27.09 (v102(constB68)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8865, 8858])).
% 41.48/27.09 tff(8867,plain,
% 41.48/27.09 (v1(constB68) <=> v1(constB68)),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8868,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 41.48/27.09 tff(8869,plain,
% 41.48/27.09 (v1(constB68)),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8868, 8867])).
% 41.48/27.09 tff(8870,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8871,plain,
% 41.48/27.09 (((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))) <=> ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8872,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68))))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8871])).
% 41.48/27.09 tff(8873,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8872, 8870])).
% 41.48/27.09 tff(8874,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8875,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8874, 8873])).
% 41.48/27.09 tff(8876,plain,
% 41.48/27.09 (v101(constB68) | (~v102(constB68))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8875, 694, 8846, 8869])).
% 41.48/27.09 tff(8877,plain,
% 41.48/27.09 (v101(constB68)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8876, 8866])).
% 41.48/27.09 tff(8878,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8879,plain,
% 41.48/27.09 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8880,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8879])).
% 41.48/27.09 tff(8881,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8880, 8878])).
% 41.48/27.09 tff(8882,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8883,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8882, 8881])).
% 41.48/27.09 tff(8884,plain,
% 41.48/27.09 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8883, 712, 8846])).
% 41.48/27.09 tff(8885,plain,
% 41.48/27.09 (v100(constB68) | (~v110(constB68))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8884, 8877])).
% 41.48/27.09 tff(8886,plain,
% 41.48/27.09 (v100(constB68)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8885, 8854])).
% 41.48/27.09 tff(8887,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB67)) | (~v130(constB67, bitIndex2)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8888,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex2)))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8889,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB67)) | (~v130(constB67, bitIndex2))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8888, 8887])).
% 41.48/27.09 tff(8890,plain,
% 41.48/27.09 (~v130(constB67, bitIndex2)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8889, 1732, 8785])).
% 41.48/27.09 tff(8891,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8892,plain,
% 41.48/27.09 ((v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2))) <=> ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8893,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2)))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8892])).
% 41.48/27.09 tff(8894,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8893, 8891])).
% 41.48/27.09 tff(8895,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8896,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2)),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8895, 8894])).
% 41.48/27.09 tff(8897,plain,
% 41.48/27.09 ((~v127(constB67, bitIndex2)) | v130(constB67, bitIndex2)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8896, 1419, 8828])).
% 41.48/27.09 tff(8898,plain,
% 41.48/27.09 (~v127(constB67, bitIndex2)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8897, 8890])).
% 41.48/27.09 tff(8899,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8900,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8901,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 41.48/27.09 tff(8902,plain,
% 41.48/27.09 (v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8901, 1437, 8846])).
% 41.48/27.09 tff(8903,plain,
% 41.48/27.09 (~v129(constB68, bitIndex2)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8902, 8898])).
% 41.48/27.09 tff(8904,plain,
% 41.48/27.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8905,plain,
% 41.48/27.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8906,plain,
% 41.48/27.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8905, 8904])).
% 41.48/27.09 tff(8907,plain,
% 41.48/27.09 ((~v90(constB68, bitIndex2)) | (~v100(constB68))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8906, 1452, 8903])).
% 41.48/27.09 tff(8908,plain,
% 41.48/27.09 (~v90(constB68, bitIndex2)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8907, 8886])).
% 41.48/27.09 tff(8909,plain,
% 41.48/27.09 ((~v1(constB69)) <=> (~v1(constB69))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8910,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 41.48/27.09 tff(8911,plain,
% 41.48/27.09 (~v1(constB69)),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8910, 8909])).
% 41.48/27.09 tff(8912,plain,
% 41.48/27.09 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8913,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 41.48/27.09 tff(8914,plain,
% 41.48/27.09 (nextState(constB68, constB69)),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8913, 8912])).
% 41.48/27.09 tff(8915,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8916,plain,
% 41.48/27.09 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8917,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8916])).
% 41.48/27.09 tff(8918,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8917, 8915])).
% 41.48/27.09 tff(8919,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8920,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8919, 8918])).
% 41.48/27.09 tff(8921,plain,
% 41.48/27.09 (~v101(constB69)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8920, 391, 8914, 8911])).
% 41.48/27.09 tff(8922,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8923,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8924,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 41.48/27.09 tff(8925,plain,
% 41.48/27.09 (v101(constB69) | (~v100(constB69))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8924, 408, 8914])).
% 41.48/27.09 tff(8926,plain,
% 41.48/27.09 (~v100(constB69)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8925, 8921])).
% 41.48/27.09 tff(8927,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8928,plain,
% 41.48/27.09 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8929,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2))))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8928])).
% 41.48/27.09 tff(8930,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8929, 8927])).
% 41.48/27.09 tff(8931,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8932,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 41.48/27.09 tff(8933,plain,
% 41.48/27.09 (v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8932, 423, 8914])).
% 41.48/27.09 tff(8934,plain,
% 41.48/27.09 (v90(constB68, bitIndex2) | (~v90(constB69, bitIndex2))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8933, 8926])).
% 41.48/27.09 tff(8935,plain,
% 41.48/27.09 (~v90(constB69, bitIndex2)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8934, 8908])).
% 41.48/27.09 tff(8936,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB67)) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB67)) | v130(constB67, bitIndex1))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8937,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB67)) | v130(constB67, bitIndex1))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8938,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB67)) | v130(constB67, bitIndex1)),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 41.48/27.09 tff(8939,plain,
% 41.48/27.09 (v130(constB67, bitIndex1)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8938, 1788, 8785])).
% 41.48/27.09 tff(8940,plain,
% 41.48/27.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8941,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8942,plain,
% 41.48/27.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1)),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8941, 8940])).
% 41.48/27.09 tff(8943,plain,
% 41.48/27.09 ((~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8942, 1144, 8828])).
% 41.48/27.09 tff(8944,plain,
% 41.48/27.09 (v127(constB67, bitIndex1)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8943, 8939])).
% 41.48/27.09 tff(8945,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8946,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8947,plain,
% 41.48/27.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1)),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8946, 8945])).
% 41.48/27.09 tff(8948,plain,
% 41.48/27.09 ((~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8947, 1159, 8846])).
% 41.48/27.09 tff(8949,plain,
% 41.48/27.09 (v129(constB68, bitIndex1)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8948, 8944])).
% 41.48/27.09 tff(8950,plain,
% 41.48/27.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8951,plain,
% 41.48/27.09 ((v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8952,plain,
% 41.48/27.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68))))),
% 41.48/27.09 inference(monotonicity,[status(thm)],[8951])).
% 41.48/27.09 tff(8953,plain,
% 41.48/27.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 41.48/27.09 inference(transitivity,[status(thm)],[8952, 8950])).
% 41.48/27.09 tff(8954,plain,
% 41.48/27.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))),
% 41.48/27.09 inference(quant_inst,[status(thm)],[])).
% 41.48/27.09 tff(8955,plain,
% 41.48/27.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68))),
% 41.48/27.09 inference(modus_ponens,[status(thm)],[8954, 8953])).
% 41.48/27.09 tff(8956,plain,
% 41.48/27.09 (v90(constB68, bitIndex1) | (~v100(constB68))),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8955, 1174, 8949])).
% 41.48/27.09 tff(8957,plain,
% 41.48/27.09 (v90(constB68, bitIndex1)),
% 41.48/27.09 inference(unit_resolution,[status(thm)],[8956, 8886])).
% 41.48/27.09 tff(8958,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8959,plain,
% 41.48/27.09 (((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 41.48/27.09 inference(rewrite,[status(thm)],[])).
% 41.48/27.09 tff(8960,plain,
% 41.48/27.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1)))),
% 41.48/27.10 inference(monotonicity,[status(thm)],[8959])).
% 41.48/27.10 tff(8961,plain,
% 41.48/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 41.48/27.10 inference(transitivity,[status(thm)],[8960, 8958])).
% 41.48/27.10 tff(8962,plain,
% 41.48/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1))),
% 41.48/27.10 inference(quant_inst,[status(thm)],[])).
% 41.48/27.10 tff(8963,plain,
% 41.48/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1)),
% 41.48/27.10 inference(modus_ponens,[status(thm)],[8962, 8961])).
% 41.48/27.10 tff(8964,plain,
% 41.48/27.10 ((~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1)),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8963, 1192, 8914])).
% 41.48/27.10 tff(8965,plain,
% 41.48/27.10 ((~v90(constB68, bitIndex1)) | v90(constB69, bitIndex1)),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8964, 8926])).
% 41.48/27.10 tff(8966,plain,
% 41.48/27.10 (v90(constB69, bitIndex1)),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8965, 8957])).
% 41.48/27.10 tff(8967,plain,
% 41.48/27.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 41.48/27.10 inference(rewrite,[status(thm)],[])).
% 41.48/27.10 tff(8968,plain,
% 41.48/27.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 41.48/27.10 inference(quant_inst,[status(thm)],[])).
% 41.48/27.10 tff(8969,plain,
% 41.48/27.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0))),
% 41.48/27.10 inference(modus_ponens,[status(thm)],[8968, 8967])).
% 41.48/27.10 tff(8970,plain,
% 41.48/27.10 (~v130(constB67, bitIndex0)),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8969, 1826, 8785])).
% 41.48/27.10 tff(8971,plain,
% 41.48/27.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 41.48/27.10 inference(rewrite,[status(thm)],[])).
% 41.48/27.10 tff(8972,plain,
% 41.48/27.10 ((v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0))) <=> ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 41.48/27.10 inference(rewrite,[status(thm)],[])).
% 41.48/27.10 tff(8973,plain,
% 41.48/27.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)))),
% 41.48/27.10 inference(monotonicity,[status(thm)],[8972])).
% 41.48/27.10 tff(8974,plain,
% 41.48/27.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 41.48/27.10 inference(transitivity,[status(thm)],[8973, 8971])).
% 41.48/27.10 tff(8975,plain,
% 41.48/27.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))),
% 41.48/27.10 inference(quant_inst,[status(thm)],[])).
% 41.48/27.10 tff(8976,plain,
% 41.48/27.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)),
% 41.48/27.10 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 41.48/27.10 tff(8977,plain,
% 41.48/27.10 ((~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8976, 907, 8828])).
% 41.48/27.10 tff(8978,plain,
% 41.48/27.10 (~v127(constB67, bitIndex0)),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8977, 8970])).
% 41.48/27.10 tff(8979,plain,
% 41.48/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 41.48/27.10 inference(rewrite,[status(thm)],[])).
% 41.48/27.10 tff(8980,plain,
% 41.48/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 41.48/27.10 inference(quant_inst,[status(thm)],[])).
% 41.48/27.10 tff(8981,plain,
% 41.48/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 41.48/27.10 inference(modus_ponens,[status(thm)],[8980, 8979])).
% 41.48/27.10 tff(8982,plain,
% 41.48/27.10 (v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8981, 937, 8846])).
% 41.48/27.10 tff(8983,plain,
% 41.48/27.10 (~v129(constB68, bitIndex0)),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8982, 8978])).
% 41.48/27.10 tff(8984,plain,
% 41.48/27.10 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 41.48/27.10 inference(rewrite,[status(thm)],[])).
% 41.48/27.10 tff(8985,plain,
% 41.48/27.10 (((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0)) <=> ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 41.48/27.10 inference(rewrite,[status(thm)],[])).
% 41.48/27.10 tff(8986,plain,
% 41.48/27.10 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))))),
% 41.48/27.10 inference(monotonicity,[status(thm)],[8985])).
% 41.48/27.10 tff(8987,plain,
% 41.48/27.10 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 41.48/27.10 inference(transitivity,[status(thm)],[8986, 8984])).
% 41.48/27.10 tff(8988,plain,
% 41.48/27.10 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))),
% 41.48/27.10 inference(quant_inst,[status(thm)],[])).
% 41.48/27.10 tff(8989,plain,
% 41.48/27.10 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))),
% 41.48/27.10 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 41.48/27.10 tff(8990,plain,
% 41.48/27.10 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8989, 952, 8983])).
% 41.48/27.10 tff(8991,plain,
% 41.48/27.10 (~v90(constB68, bitIndex0)),
% 41.48/27.10 inference(unit_resolution,[status(thm)],[8990, 8886])).
% 41.48/27.10 tff(8992,plain,
% 41.48/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 41.48/27.10 inference(rewrite,[status(thm)],[])).
% 41.48/27.10 tff(8993,plain,
% 41.48/27.10 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))) <=> (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 41.48/27.10 inference(rewrite,[status(thm)],[])).
% 41.48/27.10 tff(8994,plain,
% 41.48/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))))),
% 41.48/27.10 inference(monotonicity,[status(thm)],[8993])).
% 41.48/27.10 tff(8995,plain,
% 41.48/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 41.48/27.10 inference(transitivity,[status(thm)],[8994, 8992])).
% 41.48/27.10 tff(8996,plain,
% 41.48/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(8997,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[8996, 8995])).
% 41.50/27.10 tff(8998,plain,
% 41.50/27.10 (v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[8997, 465, 8914])).
% 41.50/27.10 tff(8999,plain,
% 41.50/27.10 (v90(constB68, bitIndex0) | (~v90(constB69, bitIndex0))),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[8998, 8926])).
% 41.50/27.10 tff(9000,plain,
% 41.50/27.10 (~v90(constB69, bitIndex0)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[8999, 8991])).
% 41.50/27.10 tff(9001,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9002,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9003,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69)),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9002, 9001])).
% 41.50/27.10 tff(9004,plain,
% 41.50/27.10 (v121(constB69)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9003, 1870, 9000, 8966, 8935])).
% 41.50/27.10 tff(9005,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB69)) | v117(constB69))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB69)) | v117(constB69))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9006,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB69)) | v117(constB69))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9007,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB69)) | v117(constB69)),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9006, 9005])).
% 41.50/27.10 tff(9008,plain,
% 41.50/27.10 (v117(constB69)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9007, 1881, 9004])).
% 41.50/27.10 tff(9009,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB69) | (~v117(constB69)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB69) | (~v117(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9010,plain,
% 41.50/27.10 (((~v117(constB69)) | v116(constB69)) <=> (v116(constB69) | (~v117(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9011,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB69)) | v116(constB69))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB69) | (~v117(constB69))))),
% 41.50/27.10 inference(monotonicity,[status(thm)],[9010])).
% 41.50/27.10 tff(9012,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB69)) | v116(constB69))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB69) | (~v117(constB69)))),
% 41.50/27.10 inference(transitivity,[status(thm)],[9011, 9009])).
% 41.50/27.10 tff(9013,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB69)) | v116(constB69))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9014,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB69) | (~v117(constB69))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9013, 9012])).
% 41.50/27.10 tff(9015,plain,
% 41.50/27.10 (v116(constB69)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9014, 525, 9008])).
% 41.50/27.10 tff(9016,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB69) | (~v116(constB69)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB69) | (~v116(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9017,plain,
% 41.50/27.10 (((~v116(constB69)) | v115(constB69)) <=> (v115(constB69) | (~v116(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9018,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB69) | (~v116(constB69))))),
% 41.50/27.10 inference(monotonicity,[status(thm)],[9017])).
% 41.50/27.10 tff(9019,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB69) | (~v116(constB69)))),
% 41.50/27.10 inference(transitivity,[status(thm)],[9018, 9016])).
% 41.50/27.10 tff(9020,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB69)) | v115(constB69))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9021,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB69) | (~v116(constB69))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 41.50/27.10 tff(9022,plain,
% 41.50/27.10 (v115(constB69)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9021, 539, 9015])).
% 41.50/27.10 tff(9023,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9024,plain,
% 41.50/27.10 (((~v115(constB69)) | v114(constB69)) <=> (v114(constB69) | (~v115(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9025,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69))))),
% 41.50/27.10 inference(monotonicity,[status(thm)],[9024])).
% 41.50/27.10 tff(9026,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 41.50/27.10 inference(transitivity,[status(thm)],[9025, 9023])).
% 41.50/27.10 tff(9027,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9028,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9027, 9026])).
% 41.50/27.10 tff(9029,plain,
% 41.50/27.10 (v114(constB69)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9028, 553, 9022])).
% 41.50/27.10 tff(9030,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9031,plain,
% 41.50/27.10 (((~v114(constB69)) | v113(constB69)) <=> (v113(constB69) | (~v114(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9032,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69))))),
% 41.50/27.10 inference(monotonicity,[status(thm)],[9031])).
% 41.50/27.10 tff(9033,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 41.50/27.10 inference(transitivity,[status(thm)],[9032, 9030])).
% 41.50/27.10 tff(9034,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9035,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9034, 9033])).
% 41.50/27.10 tff(9036,plain,
% 41.50/27.10 (v113(constB69)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9035, 567, 9029])).
% 41.50/27.10 tff(9037,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9038,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9039,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1)),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 41.50/27.10 tff(9040,plain,
% 41.50/27.10 (v130(constB69, bitIndex1)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9039, 2050, 9004])).
% 41.50/27.10 tff(9041,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB69)) | v130(constB69, bitIndex0))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9042,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB69)) | v130(constB69, bitIndex0))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9043,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB69)) | v130(constB69, bitIndex0)),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9042, 9041])).
% 41.50/27.10 tff(9044,plain,
% 41.50/27.10 (v130(constB69, bitIndex0)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9043, 2088, 9004])).
% 41.50/27.10 tff(9045,assumption,(v26(constB69)), introduced(assumption)).
% 41.50/27.10 tff(9046,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9047,plain,
% 41.50/27.10 ($false),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9046, 95, 9045])).
% 41.50/27.10 tff(9048,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 41.50/27.10 tff(9049,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9050,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9051,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69)),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 41.50/27.10 tff(9052,plain,
% 41.50/27.10 ((~v113(constB69)) | v112(constB69)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9051, 581, 9048])).
% 41.50/27.10 tff(9053,plain,
% 41.50/27.10 (v112(constB69)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9052, 9036])).
% 41.50/27.10 tff(9054,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9055,plain,
% 41.50/27.10 (((~v112(constB69)) | v108(constB69)) <=> (v108(constB69) | (~v112(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9056,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69))))),
% 41.50/27.10 inference(monotonicity,[status(thm)],[9055])).
% 41.50/27.10 tff(9057,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 41.50/27.10 inference(transitivity,[status(thm)],[9056, 9054])).
% 41.50/27.10 tff(9058,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9059,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9058, 9057])).
% 41.50/27.10 tff(9060,plain,
% 41.50/27.10 (v108(constB69)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9059, 746, 9053])).
% 41.50/27.10 tff(9061,plain,
% 41.50/27.10 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9062,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 41.50/27.10 tff(9063,plain,
% 41.50/27.10 (nextState(constB69, constB70)),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 41.50/27.10 tff(9064,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9065,plain,
% 41.50/27.10 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9066,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 41.50/27.10 inference(monotonicity,[status(thm)],[9065])).
% 41.50/27.10 tff(9067,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 41.50/27.10 inference(transitivity,[status(thm)],[9066, 9064])).
% 41.50/27.10 tff(9068,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9069,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9068, 9067])).
% 41.50/27.10 tff(9070,plain,
% 41.50/27.10 (v110(constB70) | (~v108(constB69))),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9069, 731, 9063])).
% 41.50/27.10 tff(9071,plain,
% 41.50/27.10 (v110(constB70)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9070, 9060])).
% 41.50/27.10 tff(9072,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9073,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9074,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9073, 9072])).
% 41.50/27.10 tff(9075,plain,
% 41.50/27.10 (~v104(constB70)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9074, 659, 9063, 8911])).
% 41.50/27.10 tff(9076,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9077,plain,
% 41.50/27.10 (((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)) <=> ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9078,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70)))),
% 41.50/27.10 inference(monotonicity,[status(thm)],[9077])).
% 41.50/27.10 tff(9079,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 41.50/27.10 inference(transitivity,[status(thm)],[9078, 9076])).
% 41.50/27.10 tff(9080,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9081,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70)),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9080, 9079])).
% 41.50/27.10 tff(9082,plain,
% 41.50/27.10 (v104(constB70) | v102(constB70)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9081, 673, 9063])).
% 41.50/27.10 tff(9083,plain,
% 41.50/27.10 (v102(constB70)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9082, 9075])).
% 41.50/27.10 tff(9084,plain,
% 41.50/27.10 (v1(constB70) <=> v1(constB70)),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9085,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 41.50/27.10 tff(9086,plain,
% 41.50/27.10 (v1(constB70)),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9085, 9084])).
% 41.50/27.10 tff(9087,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9088,plain,
% 41.50/27.10 (((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))) <=> ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9089,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70))))),
% 41.50/27.10 inference(monotonicity,[status(thm)],[9088])).
% 41.50/27.10 tff(9090,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 41.50/27.10 inference(transitivity,[status(thm)],[9089, 9087])).
% 41.50/27.10 tff(9091,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9092,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 41.50/27.10 tff(9093,plain,
% 41.50/27.10 (v101(constB70) | (~v102(constB70))),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9092, 694, 9063, 9086])).
% 41.50/27.10 tff(9094,plain,
% 41.50/27.10 (v101(constB70)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9093, 9083])).
% 41.50/27.10 tff(9095,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9096,plain,
% 41.50/27.10 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9097,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 41.50/27.10 inference(monotonicity,[status(thm)],[9096])).
% 41.50/27.10 tff(9098,plain,
% 41.50/27.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 41.50/27.10 inference(transitivity,[status(thm)],[9097, 9095])).
% 41.50/27.10 tff(9099,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 41.50/27.10 inference(quant_inst,[status(thm)],[])).
% 41.50/27.10 tff(9100,plain,
% 41.50/27.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 41.50/27.10 inference(modus_ponens,[status(thm)],[9099, 9098])).
% 41.50/27.10 tff(9101,plain,
% 41.50/27.10 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9100, 712, 9063])).
% 41.50/27.10 tff(9102,plain,
% 41.50/27.10 (v100(constB70) | (~v110(constB70))),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9101, 9094])).
% 41.50/27.10 tff(9103,plain,
% 41.50/27.10 (v100(constB70)),
% 41.50/27.10 inference(unit_resolution,[status(thm)],[9102, 9071])).
% 41.50/27.10 tff(9104,plain,
% 41.50/27.10 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 41.50/27.10 inference(rewrite,[status(thm)],[])).
% 41.50/27.10 tff(9105,plain,
% 41.50/27.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9106,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9105, 9104])).
% 41.50/27.11 tff(9107,plain,
% 41.50/27.11 (~v130(constB69, bitIndex2)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9106, 1990, 9004])).
% 41.50/27.11 tff(9108,assumption,(v127(constB69, bitIndex2)), introduced(assumption)).
% 41.50/27.11 tff(9109,assumption,(~v130(constB69, bitIndex2)), introduced(assumption)).
% 41.50/27.11 tff(9110,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9111,plain,
% 41.50/27.11 ((v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2))) <=> ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9112,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2)))),
% 41.50/27.11 inference(monotonicity,[status(thm)],[9111])).
% 41.50/27.11 tff(9113,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 41.50/27.11 inference(transitivity,[status(thm)],[9112, 9110])).
% 41.50/27.11 tff(9114,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9115,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9114, 9113])).
% 41.50/27.11 tff(9116,plain,
% 41.50/27.11 ((~v127(constB69, bitIndex2)) | v26(constB69)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9115, 1419, 9109])).
% 41.50/27.11 tff(9117,plain,
% 41.50/27.11 (v26(constB69)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9116, 9108])).
% 41.50/27.11 tff(9118,plain,
% 41.50/27.11 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 41.50/27.11 inference(bind,[status(th)],[])).
% 41.50/27.11 tff(9119,plain,
% 41.50/27.11 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 41.50/27.11 inference(quant_intro,[status(thm)],[9118])).
% 41.50/27.11 tff(9120,plain,
% 41.50/27.11 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9121,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 41.50/27.11 tff(9122,plain,
% 41.50/27.11 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9121, 9120])).
% 41.50/27.11 tff(9123,plain,(
% 41.50/27.11 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 41.50/27.11 inference(skolemize,[status(sab)],[9122])).
% 41.50/27.11 tff(9124,plain,
% 41.50/27.11 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9123, 9119])).
% 41.50/27.11 tff(9125,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB69)) | (~v127(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB69)) | (~v127(constB69, bitIndex2)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9126,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB69)) | (~v127(constB69, bitIndex2)))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9127,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB69)) | (~v127(constB69, bitIndex2))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 41.50/27.11 tff(9128,plain,
% 41.50/27.11 ($false),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9127, 9124, 9108, 9117])).
% 41.50/27.11 tff(9129,plain,((~v127(constB69, bitIndex2)) | v130(constB69, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.50/27.11 tff(9130,plain,
% 41.50/27.11 (~v127(constB69, bitIndex2)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9129, 9107])).
% 41.50/27.11 tff(9131,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9132,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9133,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9132, 9131])).
% 41.50/27.11 tff(9134,plain,
% 41.50/27.11 (v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9133, 1437, 9063])).
% 41.50/27.11 tff(9135,plain,
% 41.50/27.11 (~v129(constB70, bitIndex2)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9134, 9130])).
% 41.50/27.11 tff(9136,plain,
% 41.50/27.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9137,plain,
% 41.50/27.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9138,plain,
% 41.50/27.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9137, 9136])).
% 41.50/27.11 tff(9139,plain,
% 41.50/27.11 ((~v90(constB70, bitIndex2)) | (~v100(constB70))),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9138, 1452, 9135])).
% 41.50/27.11 tff(9140,plain,
% 41.50/27.11 (~v90(constB70, bitIndex2)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9139, 9103])).
% 41.50/27.11 tff(9141,plain,
% 41.50/27.11 ((~v1(constB71)) <=> (~v1(constB71))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9142,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 41.50/27.11 tff(9143,plain,
% 41.50/27.11 (~v1(constB71)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9142, 9141])).
% 41.50/27.11 tff(9144,plain,
% 41.50/27.11 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9145,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 41.50/27.11 tff(9146,plain,
% 41.50/27.11 (nextState(constB70, constB71)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 41.50/27.11 tff(9147,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9148,plain,
% 41.50/27.11 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9149,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 41.50/27.11 inference(monotonicity,[status(thm)],[9148])).
% 41.50/27.11 tff(9150,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 41.50/27.11 inference(transitivity,[status(thm)],[9149, 9147])).
% 41.50/27.11 tff(9151,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9152,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9151, 9150])).
% 41.50/27.11 tff(9153,plain,
% 41.50/27.11 (~v101(constB71)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9152, 391, 9146, 9143])).
% 41.50/27.11 tff(9154,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9155,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9156,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9155, 9154])).
% 41.50/27.11 tff(9157,plain,
% 41.50/27.11 (v101(constB71) | (~v100(constB71))),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9156, 408, 9146])).
% 41.50/27.11 tff(9158,plain,
% 41.50/27.11 (~v100(constB71)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9157, 9153])).
% 41.50/27.11 tff(9159,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9160,plain,
% 41.50/27.11 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9161,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2))))),
% 41.50/27.11 inference(monotonicity,[status(thm)],[9160])).
% 41.50/27.11 tff(9162,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 41.50/27.11 inference(transitivity,[status(thm)],[9161, 9159])).
% 41.50/27.11 tff(9163,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9164,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9163, 9162])).
% 41.50/27.11 tff(9165,plain,
% 41.50/27.11 (v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9164, 423, 9146])).
% 41.50/27.11 tff(9166,plain,
% 41.50/27.11 (v90(constB70, bitIndex2) | (~v90(constB71, bitIndex2))),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9165, 9158])).
% 41.50/27.11 tff(9167,plain,
% 41.50/27.11 (~v90(constB71, bitIndex2)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9166, 9140])).
% 41.50/27.11 tff(9168,assumption,(~v122(constB71)), introduced(assumption)).
% 41.50/27.11 tff(9169,assumption,(~v26(constB69)), introduced(assumption)).
% 41.50/27.11 tff(9170,assumption,(v113(constB69)), introduced(assumption)).
% 41.50/27.11 tff(9171,plain,
% 41.50/27.11 (v26(constB69) | v112(constB69)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9051, 581, 9170])).
% 41.50/27.11 tff(9172,plain,
% 41.50/27.11 (v112(constB69)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9171, 9169])).
% 41.50/27.11 tff(9173,plain,
% 41.50/27.11 (v108(constB69)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9059, 746, 9172])).
% 41.50/27.11 tff(9174,plain,
% 41.50/27.11 (v110(constB70)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9070, 9173])).
% 41.50/27.11 tff(9175,plain,
% 41.50/27.11 (v100(constB70)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9102, 9174])).
% 41.50/27.11 tff(9176,assumption,(v130(constB69, bitIndex0)), introduced(assumption)).
% 41.50/27.11 tff(9177,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9178,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9179,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 41.50/27.11 tff(9180,plain,
% 41.50/27.11 (v26(constB69) | v127(constB69, bitIndex0)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9179, 1552, 9176])).
% 41.50/27.11 tff(9181,plain,
% 41.50/27.11 (v127(constB69, bitIndex0)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9180, 9169])).
% 41.50/27.11 tff(9182,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9183,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9184,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9183, 9182])).
% 41.50/27.11 tff(9185,plain,
% 41.50/27.11 ((~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9184, 1567, 9063])).
% 41.50/27.11 tff(9186,plain,
% 41.50/27.11 (v129(constB70, bitIndex0)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9185, 9181])).
% 41.50/27.11 tff(9187,plain,
% 41.50/27.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9188,plain,
% 41.50/27.11 ((v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9189,plain,
% 41.50/27.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))))),
% 41.50/27.11 inference(monotonicity,[status(thm)],[9188])).
% 41.50/27.11 tff(9190,plain,
% 41.50/27.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 41.50/27.11 inference(transitivity,[status(thm)],[9189, 9187])).
% 41.50/27.11 tff(9191,plain,
% 41.50/27.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9192,plain,
% 41.50/27.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9191, 9190])).
% 41.50/27.11 tff(9193,plain,
% 41.50/27.11 (v90(constB70, bitIndex0) | (~v100(constB70))),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9192, 1582, 9186])).
% 41.50/27.11 tff(9194,plain,
% 41.50/27.11 (v90(constB70, bitIndex0)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9193, 9175])).
% 41.50/27.11 tff(9195,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9196,plain,
% 41.50/27.11 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9197,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)))),
% 41.50/27.11 inference(monotonicity,[status(thm)],[9196])).
% 41.50/27.11 tff(9198,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 41.50/27.11 inference(transitivity,[status(thm)],[9197, 9195])).
% 41.50/27.11 tff(9199,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9200,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9199, 9198])).
% 41.50/27.11 tff(9201,plain,
% 41.50/27.11 ((~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9200, 1600, 9146])).
% 41.50/27.11 tff(9202,plain,
% 41.50/27.11 ((~v90(constB70, bitIndex0)) | v90(constB71, bitIndex0)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9201, 9158])).
% 41.50/27.11 tff(9203,plain,
% 41.50/27.11 (v90(constB71, bitIndex0)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9202, 9194])).
% 41.50/27.11 tff(9204,assumption,(v130(constB69, bitIndex1)), introduced(assumption)).
% 41.50/27.11 tff(9205,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9206,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9207,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 41.50/27.11 tff(9208,plain,
% 41.50/27.11 (v26(constB69) | v127(constB69, bitIndex1)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9207, 1144, 9204])).
% 41.50/27.11 tff(9209,plain,
% 41.50/27.11 (v127(constB69, bitIndex1)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9208, 9169])).
% 41.50/27.11 tff(9210,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9211,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9212,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9211, 9210])).
% 41.50/27.11 tff(9213,plain,
% 41.50/27.11 ((~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9212, 1159, 9063])).
% 41.50/27.11 tff(9214,plain,
% 41.50/27.11 (v129(constB70, bitIndex1)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9213, 9209])).
% 41.50/27.11 tff(9215,plain,
% 41.50/27.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9216,plain,
% 41.50/27.11 ((v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9217,plain,
% 41.50/27.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70))))),
% 41.50/27.11 inference(monotonicity,[status(thm)],[9216])).
% 41.50/27.11 tff(9218,plain,
% 41.50/27.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 41.50/27.11 inference(transitivity,[status(thm)],[9217, 9215])).
% 41.50/27.11 tff(9219,plain,
% 41.50/27.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9220,plain,
% 41.50/27.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70))),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9219, 9218])).
% 41.50/27.11 tff(9221,plain,
% 41.50/27.11 (v90(constB70, bitIndex1) | (~v100(constB70))),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9220, 1174, 9214])).
% 41.50/27.11 tff(9222,plain,
% 41.50/27.11 (v90(constB70, bitIndex1)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9221, 9175])).
% 41.50/27.11 tff(9223,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9224,plain,
% 41.50/27.11 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9225,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1)))),
% 41.50/27.11 inference(monotonicity,[status(thm)],[9224])).
% 41.50/27.11 tff(9226,plain,
% 41.50/27.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 41.50/27.11 inference(transitivity,[status(thm)],[9225, 9223])).
% 41.50/27.11 tff(9227,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9228,plain,
% 41.50/27.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9227, 9226])).
% 41.50/27.11 tff(9229,plain,
% 41.50/27.11 ((~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9228, 1192, 9146])).
% 41.50/27.11 tff(9230,plain,
% 41.50/27.11 ((~v90(constB70, bitIndex1)) | v90(constB71, bitIndex1)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9229, 9158])).
% 41.50/27.11 tff(9231,plain,
% 41.50/27.11 (v90(constB71, bitIndex1)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9230, 9222])).
% 41.50/27.11 tff(9232,assumption,(~v90(constB71, bitIndex2)), introduced(assumption)).
% 41.50/27.11 tff(9233,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9234,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))),
% 41.50/27.11 inference(quant_inst,[status(thm)],[])).
% 41.50/27.11 tff(9235,plain,
% 41.50/27.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71)),
% 41.50/27.11 inference(modus_ponens,[status(thm)],[9234, 9233])).
% 41.50/27.11 tff(9236,plain,
% 41.50/27.11 ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v122(constB71)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9235, 2129, 9232])).
% 41.50/27.11 tff(9237,plain,
% 41.50/27.11 ($false),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9236, 9231, 9203, 9168])).
% 41.50/27.11 tff(9238,plain,(v26(constB69) | v122(constB71) | v90(constB71, bitIndex2) | (~v113(constB69)) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 41.50/27.11 tff(9239,plain,
% 41.50/27.11 (v122(constB71) | v90(constB71, bitIndex2) | (~v113(constB69)) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0))),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9238, 9048])).
% 41.50/27.11 tff(9240,plain,
% 41.50/27.11 (v122(constB71)),
% 41.50/27.11 inference(unit_resolution,[status(thm)],[9239, 9167, 9044, 9040, 9036])).
% 41.50/27.11 tff(9241,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB71) | (~v122(constB71)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB71) | (~v122(constB71)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9242,plain,
% 41.50/27.11 (((~v122(constB71)) | v116(constB71)) <=> (v116(constB71) | (~v122(constB71)))),
% 41.50/27.11 inference(rewrite,[status(thm)],[])).
% 41.50/27.11 tff(9243,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB71)) | v116(constB71))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB71) | (~v122(constB71))))),
% 41.50/27.11 inference(monotonicity,[status(thm)],[9242])).
% 41.50/27.11 tff(9244,plain,
% 41.50/27.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB71)) | v116(constB71))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB71) | (~v122(constB71)))),
% 41.50/27.12 inference(transitivity,[status(thm)],[9243, 9241])).
% 41.50/27.12 tff(9245,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB71)) | v116(constB71))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9246,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB71) | (~v122(constB71))),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9245, 9244])).
% 41.50/27.12 tff(9247,plain,
% 41.50/27.12 (v116(constB71)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9246, 2140, 9240])).
% 41.50/27.12 tff(9248,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB71) | (~v116(constB71)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB71) | (~v116(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9249,plain,
% 41.50/27.12 (((~v116(constB71)) | v115(constB71)) <=> (v115(constB71) | (~v116(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9250,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB71)) | v115(constB71))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB71) | (~v116(constB71))))),
% 41.50/27.12 inference(monotonicity,[status(thm)],[9249])).
% 41.50/27.12 tff(9251,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB71)) | v115(constB71))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB71) | (~v116(constB71)))),
% 41.50/27.12 inference(transitivity,[status(thm)],[9250, 9248])).
% 41.50/27.12 tff(9252,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB71)) | v115(constB71))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9253,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB71) | (~v116(constB71))),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9252, 9251])).
% 41.50/27.12 tff(9254,plain,
% 41.50/27.12 (v115(constB71)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9253, 539, 9247])).
% 41.50/27.12 tff(9255,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB71) | (~v115(constB71)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB71) | (~v115(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9256,plain,
% 41.50/27.12 (((~v115(constB71)) | v114(constB71)) <=> (v114(constB71) | (~v115(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9257,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB71) | (~v115(constB71))))),
% 41.50/27.12 inference(monotonicity,[status(thm)],[9256])).
% 41.50/27.12 tff(9258,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB71) | (~v115(constB71)))),
% 41.50/27.12 inference(transitivity,[status(thm)],[9257, 9255])).
% 41.50/27.12 tff(9259,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB71)) | v114(constB71))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9260,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB71) | (~v115(constB71))),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 41.50/27.12 tff(9261,plain,
% 41.50/27.12 (v114(constB71)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9260, 553, 9254])).
% 41.50/27.12 tff(9262,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9263,plain,
% 41.50/27.12 (((~v114(constB71)) | v113(constB71)) <=> (v113(constB71) | (~v114(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9264,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB71) | (~v114(constB71))))),
% 41.50/27.12 inference(monotonicity,[status(thm)],[9263])).
% 41.50/27.12 tff(9265,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71)))),
% 41.50/27.12 inference(transitivity,[status(thm)],[9264, 9262])).
% 41.50/27.12 tff(9266,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9267,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71))),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 41.50/27.12 tff(9268,plain,
% 41.50/27.12 (v113(constB71)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9267, 567, 9261])).
% 41.50/27.12 tff(9269,assumption,(v26(constB71)), introduced(assumption)).
% 41.50/27.12 tff(9270,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9271,plain,
% 41.50/27.12 ($false),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9270, 95, 9269])).
% 41.50/27.12 tff(9272,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 41.50/27.12 tff(9273,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9274,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9275,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9274, 9273])).
% 41.50/27.12 tff(9276,plain,
% 41.50/27.12 ((~v113(constB71)) | v112(constB71)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9275, 581, 9272])).
% 41.50/27.12 tff(9277,plain,
% 41.50/27.12 (v112(constB71)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9276, 9268])).
% 41.50/27.12 tff(9278,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9279,plain,
% 41.50/27.12 (((~v112(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v112(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9280,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71))))),
% 41.50/27.12 inference(monotonicity,[status(thm)],[9279])).
% 41.50/27.12 tff(9281,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 41.50/27.12 inference(transitivity,[status(thm)],[9280, 9278])).
% 41.50/27.12 tff(9282,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9283,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71))),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 41.50/27.12 tff(9284,plain,
% 41.50/27.12 (v108(constB71)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9283, 746, 9277])).
% 41.50/27.12 tff(9285,plain,
% 41.50/27.12 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9286,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 41.50/27.12 tff(9287,plain,
% 41.50/27.12 (nextState(constB71, constB72)),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 41.50/27.12 tff(9288,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9289,plain,
% 41.50/27.12 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9290,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 41.50/27.12 inference(monotonicity,[status(thm)],[9289])).
% 41.50/27.12 tff(9291,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 41.50/27.12 inference(transitivity,[status(thm)],[9290, 9288])).
% 41.50/27.12 tff(9292,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9293,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9292, 9291])).
% 41.50/27.12 tff(9294,plain,
% 41.50/27.12 (v110(constB72) | (~v108(constB71))),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9293, 731, 9287])).
% 41.50/27.12 tff(9295,plain,
% 41.50/27.12 (v110(constB72)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9294, 9284])).
% 41.50/27.12 tff(9296,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9297,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9298,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9297, 9296])).
% 41.50/27.12 tff(9299,plain,
% 41.50/27.12 (~v104(constB72)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9298, 659, 9287, 9143])).
% 41.50/27.12 tff(9300,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9301,plain,
% 41.50/27.12 (((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)) <=> ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9302,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72)))),
% 41.50/27.12 inference(monotonicity,[status(thm)],[9301])).
% 41.50/27.12 tff(9303,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 41.50/27.12 inference(transitivity,[status(thm)],[9302, 9300])).
% 41.50/27.12 tff(9304,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9305,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72)),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9304, 9303])).
% 41.50/27.12 tff(9306,plain,
% 41.50/27.12 (v104(constB72) | v102(constB72)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9305, 673, 9287])).
% 41.50/27.12 tff(9307,plain,
% 41.50/27.12 (v102(constB72)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9306, 9299])).
% 41.50/27.12 tff(9308,plain,
% 41.50/27.12 (v1(constB72) <=> v1(constB72)),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9309,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 41.50/27.12 tff(9310,plain,
% 41.50/27.12 (v1(constB72)),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 41.50/27.12 tff(9311,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9312,plain,
% 41.50/27.12 (((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))) <=> ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9313,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72))))),
% 41.50/27.12 inference(monotonicity,[status(thm)],[9312])).
% 41.50/27.12 tff(9314,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 41.50/27.12 inference(transitivity,[status(thm)],[9313, 9311])).
% 41.50/27.12 tff(9315,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9316,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72))),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9315, 9314])).
% 41.50/27.12 tff(9317,plain,
% 41.50/27.12 (v101(constB72) | (~v102(constB72))),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9316, 694, 9287, 9310])).
% 41.50/27.12 tff(9318,plain,
% 41.50/27.12 (v101(constB72)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9317, 9307])).
% 41.50/27.12 tff(9319,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9320,plain,
% 41.50/27.12 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9321,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 41.50/27.12 inference(monotonicity,[status(thm)],[9320])).
% 41.50/27.12 tff(9322,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 41.50/27.12 inference(transitivity,[status(thm)],[9321, 9319])).
% 41.50/27.12 tff(9323,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9324,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9323, 9322])).
% 41.50/27.12 tff(9325,plain,
% 41.50/27.12 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9324, 712, 9287])).
% 41.50/27.12 tff(9326,plain,
% 41.50/27.12 (v100(constB72) | (~v110(constB72))),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9325, 9318])).
% 41.50/27.12 tff(9327,plain,
% 41.50/27.12 (v100(constB72)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9326, 9295])).
% 41.50/27.12 tff(9328,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB71)) | v130(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB71)) | v130(constB71, bitIndex2))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9329,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB71)) | v130(constB71, bitIndex2))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9330,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB71)) | v130(constB71, bitIndex2)),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 41.50/27.12 tff(9331,plain,
% 41.50/27.12 (v130(constB71, bitIndex2)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9330, 2224, 9240])).
% 41.50/27.12 tff(9332,plain,
% 41.50/27.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9333,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9334,plain,
% 41.50/27.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 41.50/27.12 inference(modus_ponens,[status(thm)],[9333, 9332])).
% 41.50/27.12 tff(9335,plain,
% 41.50/27.12 ((~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9334, 607, 9272])).
% 41.50/27.12 tff(9336,plain,
% 41.50/27.12 (v127(constB71, bitIndex2)),
% 41.50/27.12 inference(unit_resolution,[status(thm)],[9335, 9331])).
% 41.50/27.12 tff(9337,plain,
% 41.50/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 41.50/27.12 inference(rewrite,[status(thm)],[])).
% 41.50/27.12 tff(9338,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 41.50/27.12 inference(quant_inst,[status(thm)],[])).
% 41.50/27.12 tff(9339,plain,
% 41.50/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 41.53/27.12 tff(9340,plain,
% 41.53/27.12 ((~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9339, 625, 9287])).
% 41.53/27.12 tff(9341,plain,
% 41.53/27.12 (v129(constB72, bitIndex2)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9340, 9336])).
% 41.53/27.12 tff(9342,plain,
% 41.53/27.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9343,plain,
% 41.53/27.12 ((v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2))) <=> (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9344,plain,
% 41.53/27.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))))),
% 41.53/27.12 inference(monotonicity,[status(thm)],[9343])).
% 41.53/27.12 tff(9345,plain,
% 41.53/27.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 41.53/27.12 inference(transitivity,[status(thm)],[9344, 9342])).
% 41.53/27.12 tff(9346,plain,
% 41.53/27.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))),
% 41.53/27.12 inference(quant_inst,[status(thm)],[])).
% 41.53/27.12 tff(9347,plain,
% 41.53/27.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9346, 9345])).
% 41.53/27.12 tff(9348,plain,
% 41.53/27.12 (v90(constB72, bitIndex2) | (~v100(constB72))),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9347, 641, 9341])).
% 41.53/27.12 tff(9349,plain,
% 41.53/27.12 (v90(constB72, bitIndex2)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9348, 9327])).
% 41.53/27.12 tff(9350,plain,
% 41.53/27.12 ((~v1(constB73)) <=> (~v1(constB73))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9351,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 41.53/27.12 tff(9352,plain,
% 41.53/27.12 (~v1(constB73)),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9351, 9350])).
% 41.53/27.12 tff(9353,plain,
% 41.53/27.12 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9354,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 41.53/27.12 tff(9355,plain,
% 41.53/27.12 (nextState(constB72, constB73)),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 41.53/27.12 tff(9356,plain,
% 41.53/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9357,plain,
% 41.53/27.12 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9358,plain,
% 41.53/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 41.53/27.12 inference(monotonicity,[status(thm)],[9357])).
% 41.53/27.12 tff(9359,plain,
% 41.53/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 41.53/27.12 inference(transitivity,[status(thm)],[9358, 9356])).
% 41.53/27.12 tff(9360,plain,
% 41.53/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 41.53/27.12 inference(quant_inst,[status(thm)],[])).
% 41.53/27.12 tff(9361,plain,
% 41.53/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9360, 9359])).
% 41.53/27.12 tff(9362,plain,
% 41.53/27.12 (~v101(constB73)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9361, 391, 9355, 9352])).
% 41.53/27.12 tff(9363,plain,
% 41.53/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9364,plain,
% 41.53/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 41.53/27.12 inference(quant_inst,[status(thm)],[])).
% 41.53/27.12 tff(9365,plain,
% 41.53/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9364, 9363])).
% 41.53/27.12 tff(9366,plain,
% 41.53/27.12 (v101(constB73) | (~v100(constB73))),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9365, 408, 9355])).
% 41.53/27.12 tff(9367,plain,
% 41.53/27.12 (~v100(constB73)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9366, 9362])).
% 41.53/27.12 tff(9368,plain,
% 41.53/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9369,plain,
% 41.53/27.12 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)) <=> ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9370,plain,
% 41.53/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)))),
% 41.53/27.12 inference(monotonicity,[status(thm)],[9369])).
% 41.53/27.12 tff(9371,plain,
% 41.53/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 41.53/27.12 inference(transitivity,[status(thm)],[9370, 9368])).
% 41.53/27.12 tff(9372,plain,
% 41.53/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))),
% 41.53/27.12 inference(quant_inst,[status(thm)],[])).
% 41.53/27.12 tff(9373,plain,
% 41.53/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9372, 9371])).
% 41.53/27.12 tff(9374,plain,
% 41.53/27.12 ((~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9373, 783, 9355])).
% 41.53/27.12 tff(9375,plain,
% 41.53/27.12 ((~v90(constB72, bitIndex2)) | v90(constB73, bitIndex2)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9374, 9367])).
% 41.53/27.12 tff(9376,plain,
% 41.53/27.12 (v90(constB73, bitIndex2)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9375, 9349])).
% 41.53/27.12 tff(9377,plain,
% 41.53/27.12 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB71)) | (~v130(constB71, bitIndex1)))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9378,plain,
% 41.53/27.12 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex1)))),
% 41.53/27.12 inference(quant_inst,[status(thm)],[])).
% 41.53/27.12 tff(9379,plain,
% 41.53/27.12 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB71)) | (~v130(constB71, bitIndex1))),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9378, 9377])).
% 41.53/27.12 tff(9380,plain,
% 41.53/27.12 (~v130(constB71, bitIndex1)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9379, 2281, 9240])).
% 41.53/27.12 tff(9381,plain,
% 41.53/27.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9382,plain,
% 41.53/27.12 ((v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1))) <=> ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9383,plain,
% 41.53/27.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1)))),
% 41.53/27.12 inference(monotonicity,[status(thm)],[9382])).
% 41.53/27.12 tff(9384,plain,
% 41.53/27.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 41.53/27.12 inference(transitivity,[status(thm)],[9383, 9381])).
% 41.53/27.12 tff(9385,plain,
% 41.53/27.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))),
% 41.53/27.12 inference(quant_inst,[status(thm)],[])).
% 41.53/27.12 tff(9386,plain,
% 41.53/27.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1)),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9385, 9384])).
% 41.53/27.12 tff(9387,plain,
% 41.53/27.12 ((~v127(constB71, bitIndex1)) | v130(constB71, bitIndex1)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9386, 823, 9272])).
% 41.53/27.12 tff(9388,plain,
% 41.53/27.12 (~v127(constB71, bitIndex1)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9387, 9380])).
% 41.53/27.12 tff(9389,plain,
% 41.53/27.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9390,plain,
% 41.53/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))),
% 41.53/27.12 inference(quant_inst,[status(thm)],[])).
% 41.53/27.12 tff(9391,plain,
% 41.53/27.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1))),
% 41.53/27.12 inference(modus_ponens,[status(thm)],[9390, 9389])).
% 41.53/27.12 tff(9392,plain,
% 41.53/27.12 (v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1))),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9391, 853, 9287])).
% 41.53/27.12 tff(9393,plain,
% 41.53/27.12 (~v129(constB72, bitIndex1)),
% 41.53/27.12 inference(unit_resolution,[status(thm)],[9392, 9388])).
% 41.53/27.12 tff(9394,plain,
% 41.53/27.12 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9395,plain,
% 41.53/27.12 (((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1)) <=> ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 41.53/27.12 inference(rewrite,[status(thm)],[])).
% 41.53/27.12 tff(9396,plain,
% 41.53/27.12 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72))))),
% 41.53/27.12 inference(monotonicity,[status(thm)],[9395])).
% 41.53/27.12 tff(9397,plain,
% 41.53/27.12 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 41.53/27.12 inference(transitivity,[status(thm)],[9396, 9394])).
% 41.53/27.12 tff(9398,plain,
% 41.53/27.12 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9399,plain,
% 41.53/27.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 41.53/27.13 tff(9400,plain,
% 41.53/27.13 ((~v90(constB72, bitIndex1)) | (~v100(constB72))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9399, 868, 9393])).
% 41.53/27.13 tff(9401,plain,
% 41.53/27.13 (~v90(constB72, bitIndex1)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9400, 9327])).
% 41.53/27.13 tff(9402,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9403,plain,
% 41.53/27.13 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1))) <=> (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9404,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9403])).
% 41.53/27.13 tff(9405,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9404, 9402])).
% 41.53/27.13 tff(9406,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9407,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9406, 9405])).
% 41.53/27.13 tff(9408,plain,
% 41.53/27.13 (v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9407, 444, 9355])).
% 41.53/27.13 tff(9409,plain,
% 41.53/27.13 (v90(constB72, bitIndex1) | (~v90(constB73, bitIndex1))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9408, 9367])).
% 41.53/27.13 tff(9410,plain,
% 41.53/27.13 (~v90(constB73, bitIndex1)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9409, 9401])).
% 41.53/27.13 tff(9411,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB71)) | (~v130(constB71, bitIndex0)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9412,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex0)))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9413,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB71)) | (~v130(constB71, bitIndex0))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 41.53/27.13 tff(9414,plain,
% 41.53/27.13 (~v130(constB71, bitIndex0)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9413, 2327, 9240])).
% 41.53/27.13 tff(9415,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9416,plain,
% 41.53/27.13 ((v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0))) <=> ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9417,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9416])).
% 41.53/27.13 tff(9418,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9417, 9415])).
% 41.53/27.13 tff(9419,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9420,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9419, 9418])).
% 41.53/27.13 tff(9421,plain,
% 41.53/27.13 ((~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9420, 907, 9272])).
% 41.53/27.13 tff(9422,plain,
% 41.53/27.13 (~v127(constB71, bitIndex0)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9421, 9414])).
% 41.53/27.13 tff(9423,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9424,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9425,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 41.53/27.13 tff(9426,plain,
% 41.53/27.13 (v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9425, 937, 9287])).
% 41.53/27.13 tff(9427,plain,
% 41.53/27.13 (~v129(constB72, bitIndex0)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9426, 9422])).
% 41.53/27.13 tff(9428,plain,
% 41.53/27.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9429,plain,
% 41.53/27.13 (((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0)) <=> ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9430,plain,
% 41.53/27.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9429])).
% 41.53/27.13 tff(9431,plain,
% 41.53/27.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9430, 9428])).
% 41.53/27.13 tff(9432,plain,
% 41.53/27.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9433,plain,
% 41.53/27.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9432, 9431])).
% 41.53/27.13 tff(9434,plain,
% 41.53/27.13 ((~v90(constB72, bitIndex0)) | (~v100(constB72))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9433, 952, 9427])).
% 41.53/27.13 tff(9435,plain,
% 41.53/27.13 (~v90(constB72, bitIndex0)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9434, 9327])).
% 41.53/27.13 tff(9436,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9437,plain,
% 41.53/27.13 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))) <=> (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9438,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9437])).
% 41.53/27.13 tff(9439,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9438, 9436])).
% 41.53/27.13 tff(9440,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9441,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 41.53/27.13 tff(9442,plain,
% 41.53/27.13 (v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9441, 465, 9355])).
% 41.53/27.13 tff(9443,plain,
% 41.53/27.13 (v90(constB72, bitIndex0) | (~v90(constB73, bitIndex0))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9442, 9367])).
% 41.53/27.13 tff(9444,plain,
% 41.53/27.13 (~v90(constB73, bitIndex0)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9443, 9435])).
% 41.53/27.13 tff(9445,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9446,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9447,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73)),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9446, 9445])).
% 41.53/27.13 tff(9448,plain,
% 41.53/27.13 (v123(constB73)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9447, 979, 9444, 9410, 9376])).
% 41.53/27.13 tff(9449,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB73) | (~v123(constB73)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB73) | (~v123(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9450,plain,
% 41.53/27.13 (((~v123(constB73)) | v115(constB73)) <=> (v115(constB73) | (~v123(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9451,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB73)) | v115(constB73))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB73) | (~v123(constB73))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9450])).
% 41.53/27.13 tff(9452,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB73)) | v115(constB73))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB73) | (~v123(constB73)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9451, 9449])).
% 41.53/27.13 tff(9453,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB73)) | v115(constB73))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9454,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB73) | (~v123(constB73))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9453, 9452])).
% 41.53/27.13 tff(9455,plain,
% 41.53/27.13 (v115(constB73)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9454, 990, 9448])).
% 41.53/27.13 tff(9456,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB73)) | v114(constB73))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB73)) | v114(constB73))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9457,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB73)) | v114(constB73))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9458,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB73)) | v114(constB73)),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 41.53/27.13 tff(9459,plain,
% 41.53/27.13 (v114(constB73)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9458, 553, 9455])).
% 41.53/27.13 tff(9460,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v114(constB73)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v114(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9461,plain,
% 41.53/27.13 (((~v114(constB73)) | v113(constB73)) <=> (v113(constB73) | (~v114(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9462,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v114(constB73))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9461])).
% 41.53/27.13 tff(9463,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v114(constB73)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9462, 9460])).
% 41.53/27.13 tff(9464,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB73)) | v113(constB73))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9465,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v114(constB73))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9464, 9463])).
% 41.53/27.13 tff(9466,plain,
% 41.53/27.13 (v113(constB73)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9465, 567, 9459])).
% 41.53/27.13 tff(9467,assumption,(v26(constB73)), introduced(assumption)).
% 41.53/27.13 tff(9468,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9469,plain,
% 41.53/27.13 ($false),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9468, 95, 9467])).
% 41.53/27.13 tff(9470,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 41.53/27.13 tff(9471,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9472,plain,
% 41.53/27.13 ((v26(constB73) | (~v113(constB73)) | v112(constB73)) <=> (v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9473,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9472])).
% 41.53/27.13 tff(9474,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9473, 9471])).
% 41.53/27.13 tff(9475,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9476,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9475, 9474])).
% 41.53/27.13 tff(9477,plain,
% 41.53/27.13 (v112(constB73) | (~v113(constB73))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9476, 581, 9470])).
% 41.53/27.13 tff(9478,plain,
% 41.53/27.13 (v112(constB73)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9477, 9466])).
% 41.53/27.13 tff(9479,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9480,plain,
% 41.53/27.13 (((~v112(constB73)) | v108(constB73)) <=> (v108(constB73) | (~v112(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9481,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9480])).
% 41.53/27.13 tff(9482,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9481, 9479])).
% 41.53/27.13 tff(9483,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9484,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9483, 9482])).
% 41.53/27.13 tff(9485,plain,
% 41.53/27.13 (v108(constB73)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9484, 746, 9478])).
% 41.53/27.13 tff(9486,plain,
% 41.53/27.13 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9487,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 41.53/27.13 tff(9488,plain,
% 41.53/27.13 (nextState(constB73, constB74)),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9487, 9486])).
% 41.53/27.13 tff(9489,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9490,plain,
% 41.53/27.13 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9491,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9490])).
% 41.53/27.13 tff(9492,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9491, 9489])).
% 41.53/27.13 tff(9493,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9494,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9493, 9492])).
% 41.53/27.13 tff(9495,plain,
% 41.53/27.13 (v110(constB74) | (~v108(constB73))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9494, 731, 9488])).
% 41.53/27.13 tff(9496,plain,
% 41.53/27.13 (v110(constB74)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9495, 9485])).
% 41.53/27.13 tff(9497,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9498,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9499,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9498, 9497])).
% 41.53/27.13 tff(9500,plain,
% 41.53/27.13 (~v104(constB74)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9499, 659, 9488, 9352])).
% 41.53/27.13 tff(9501,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9502,plain,
% 41.53/27.13 (((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)) <=> ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9503,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74)))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9502])).
% 41.53/27.13 tff(9504,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9503, 9501])).
% 41.53/27.13 tff(9505,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9506,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74)),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9505, 9504])).
% 41.53/27.13 tff(9507,plain,
% 41.53/27.13 (v104(constB74) | v102(constB74)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9506, 673, 9488])).
% 41.53/27.13 tff(9508,plain,
% 41.53/27.13 (v102(constB74)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9507, 9500])).
% 41.53/27.13 tff(9509,plain,
% 41.53/27.13 (v1(constB74) <=> v1(constB74)),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9510,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 41.53/27.13 tff(9511,plain,
% 41.53/27.13 (v1(constB74)),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9510, 9509])).
% 41.53/27.13 tff(9512,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9513,plain,
% 41.53/27.13 (((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))) <=> ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9514,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9513])).
% 41.53/27.13 tff(9515,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9514, 9512])).
% 41.53/27.13 tff(9516,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9517,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 41.53/27.13 tff(9518,plain,
% 41.53/27.13 (v101(constB74) | (~v102(constB74))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9517, 694, 9488, 9511])).
% 41.53/27.13 tff(9519,plain,
% 41.53/27.13 (v101(constB74)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9518, 9508])).
% 41.53/27.13 tff(9520,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9521,plain,
% 41.53/27.13 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9522,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 41.53/27.13 inference(monotonicity,[status(thm)],[9521])).
% 41.53/27.13 tff(9523,plain,
% 41.53/27.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 41.53/27.13 inference(transitivity,[status(thm)],[9522, 9520])).
% 41.53/27.13 tff(9524,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9525,plain,
% 41.53/27.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 41.53/27.13 inference(modus_ponens,[status(thm)],[9524, 9523])).
% 41.53/27.13 tff(9526,plain,
% 41.53/27.13 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9525, 712, 9488])).
% 41.53/27.13 tff(9527,plain,
% 41.53/27.13 (v100(constB74) | (~v110(constB74))),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9526, 9519])).
% 41.53/27.13 tff(9528,plain,
% 41.53/27.13 (v100(constB74)),
% 41.53/27.13 inference(unit_resolution,[status(thm)],[9527, 9496])).
% 41.53/27.13 tff(9529,plain,
% 41.53/27.13 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB73)) | v130(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB73)) | v130(constB73, bitIndex2))),
% 41.53/27.13 inference(rewrite,[status(thm)],[])).
% 41.53/27.13 tff(9530,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB73)) | v130(constB73, bitIndex2))),
% 41.53/27.13 inference(quant_inst,[status(thm)],[])).
% 41.53/27.13 tff(9531,plain,
% 41.53/27.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB73)) | v130(constB73, bitIndex2)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 41.53/27.14 tff(9532,plain,
% 41.53/27.14 (v130(constB73, bitIndex2)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9531, 1074, 9448])).
% 41.53/27.14 tff(9533,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9534,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9535,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9534, 9533])).
% 41.53/27.14 tff(9536,plain,
% 41.53/27.14 ((~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9535, 607, 9470])).
% 41.53/27.14 tff(9537,plain,
% 41.53/27.14 (v127(constB73, bitIndex2)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9536, 9532])).
% 41.53/27.14 tff(9538,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9539,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9540,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9539, 9538])).
% 41.53/27.14 tff(9541,plain,
% 41.53/27.14 ((~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9540, 625, 9488])).
% 41.53/27.14 tff(9542,plain,
% 41.53/27.14 (v129(constB74, bitIndex2)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9541, 9537])).
% 41.53/27.14 tff(9543,plain,
% 41.53/27.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9544,plain,
% 41.53/27.14 ((v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2))) <=> (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9545,plain,
% 41.53/27.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74))))),
% 41.53/27.14 inference(monotonicity,[status(thm)],[9544])).
% 41.53/27.14 tff(9546,plain,
% 41.53/27.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 41.53/27.14 inference(transitivity,[status(thm)],[9545, 9543])).
% 41.53/27.14 tff(9547,plain,
% 41.53/27.14 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9548,plain,
% 41.53/27.14 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74))),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9547, 9546])).
% 41.53/27.14 tff(9549,plain,
% 41.53/27.14 (v90(constB74, bitIndex2) | (~v100(constB74))),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9548, 641, 9542])).
% 41.53/27.14 tff(9550,plain,
% 41.53/27.14 (v90(constB74, bitIndex2)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9549, 9528])).
% 41.53/27.14 tff(9551,plain,
% 41.53/27.14 ((~v1(constB75)) <=> (~v1(constB75))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9552,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 41.53/27.14 tff(9553,plain,
% 41.53/27.14 (~v1(constB75)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 41.53/27.14 tff(9554,plain,
% 41.53/27.14 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9555,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 41.53/27.14 tff(9556,plain,
% 41.53/27.14 (nextState(constB74, constB75)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9555, 9554])).
% 41.53/27.14 tff(9557,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9558,plain,
% 41.53/27.14 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9559,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 41.53/27.14 inference(monotonicity,[status(thm)],[9558])).
% 41.53/27.14 tff(9560,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 41.53/27.14 inference(transitivity,[status(thm)],[9559, 9557])).
% 41.53/27.14 tff(9561,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9562,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 41.53/27.14 tff(9563,plain,
% 41.53/27.14 (~v101(constB75)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9562, 391, 9556, 9553])).
% 41.53/27.14 tff(9564,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9565,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9566,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9565, 9564])).
% 41.53/27.14 tff(9567,plain,
% 41.53/27.14 (v101(constB75) | (~v100(constB75))),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9566, 408, 9556])).
% 41.53/27.14 tff(9568,plain,
% 41.53/27.14 (~v100(constB75)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9567, 9563])).
% 41.53/27.14 tff(9569,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9570,plain,
% 41.53/27.14 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2)) <=> ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9571,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2)))),
% 41.53/27.14 inference(monotonicity,[status(thm)],[9570])).
% 41.53/27.14 tff(9572,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 41.53/27.14 inference(transitivity,[status(thm)],[9571, 9569])).
% 41.53/27.14 tff(9573,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9574,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9573, 9572])).
% 41.53/27.14 tff(9575,plain,
% 41.53/27.14 ((~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9574, 783, 9556])).
% 41.53/27.14 tff(9576,plain,
% 41.53/27.14 ((~v90(constB74, bitIndex2)) | v90(constB75, bitIndex2)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9575, 9568])).
% 41.53/27.14 tff(9577,plain,
% 41.53/27.14 (v90(constB75, bitIndex2)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9576, 9550])).
% 41.53/27.14 tff(9578,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB73)) | v130(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB73)) | v130(constB73, bitIndex1))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9579,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB73)) | v130(constB73, bitIndex1))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9580,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB73)) | v130(constB73, bitIndex1)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9579, 9578])).
% 41.53/27.14 tff(9581,plain,
% 41.53/27.14 (v130(constB73, bitIndex1)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9580, 1130, 9448])).
% 41.53/27.14 tff(9582,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9583,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9584,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9583, 9582])).
% 41.53/27.14 tff(9585,plain,
% 41.53/27.14 ((~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9584, 1144, 9470])).
% 41.53/27.14 tff(9586,plain,
% 41.53/27.14 (v127(constB73, bitIndex1)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9585, 9581])).
% 41.53/27.14 tff(9587,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9588,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9589,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 41.53/27.14 tff(9590,plain,
% 41.53/27.14 ((~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9589, 1159, 9488])).
% 41.53/27.14 tff(9591,plain,
% 41.53/27.14 (v129(constB74, bitIndex1)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9590, 9586])).
% 41.53/27.14 tff(9592,plain,
% 41.53/27.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9593,plain,
% 41.53/27.14 ((v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1))) <=> (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9594,plain,
% 41.53/27.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74))))),
% 41.53/27.14 inference(monotonicity,[status(thm)],[9593])).
% 41.53/27.14 tff(9595,plain,
% 41.53/27.14 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 41.53/27.14 inference(transitivity,[status(thm)],[9594, 9592])).
% 41.53/27.14 tff(9596,plain,
% 41.53/27.14 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9597,plain,
% 41.53/27.14 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74))),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9596, 9595])).
% 41.53/27.14 tff(9598,plain,
% 41.53/27.14 (v90(constB74, bitIndex1) | (~v100(constB74))),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9597, 1174, 9591])).
% 41.53/27.14 tff(9599,plain,
% 41.53/27.14 (v90(constB74, bitIndex1)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9598, 9528])).
% 41.53/27.14 tff(9600,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9601,plain,
% 41.53/27.14 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1)) <=> ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9602,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1)))),
% 41.53/27.14 inference(monotonicity,[status(thm)],[9601])).
% 41.53/27.14 tff(9603,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 41.53/27.14 inference(transitivity,[status(thm)],[9602, 9600])).
% 41.53/27.14 tff(9604,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9605,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9604, 9603])).
% 41.53/27.14 tff(9606,plain,
% 41.53/27.14 ((~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9605, 1192, 9556])).
% 41.53/27.14 tff(9607,plain,
% 41.53/27.14 ((~v90(constB74, bitIndex1)) | v90(constB75, bitIndex1)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9606, 9568])).
% 41.53/27.14 tff(9608,plain,
% 41.53/27.14 (v90(constB75, bitIndex1)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9607, 9599])).
% 41.53/27.14 tff(9609,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB73)) | (~v130(constB73, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB73)) | (~v130(constB73, bitIndex0)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9610,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB73)) | (~v130(constB73, bitIndex0)))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9611,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB73)) | (~v130(constB73, bitIndex0))),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9610, 9609])).
% 41.53/27.14 tff(9612,plain,
% 41.53/27.14 (~v130(constB73, bitIndex0)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9611, 1208, 9448])).
% 41.53/27.14 tff(9613,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9614,plain,
% 41.53/27.14 ((v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0))) <=> ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9615,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0)))),
% 41.53/27.14 inference(monotonicity,[status(thm)],[9614])).
% 41.53/27.14 tff(9616,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 41.53/27.14 inference(transitivity,[status(thm)],[9615, 9613])).
% 41.53/27.14 tff(9617,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9618,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9617, 9616])).
% 41.53/27.14 tff(9619,plain,
% 41.53/27.14 ((~v127(constB73, bitIndex0)) | v130(constB73, bitIndex0)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9618, 907, 9470])).
% 41.53/27.14 tff(9620,plain,
% 41.53/27.14 (~v127(constB73, bitIndex0)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9619, 9612])).
% 41.53/27.14 tff(9621,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9622,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9623,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0))),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 41.53/27.14 tff(9624,plain,
% 41.53/27.14 (v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0))),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9623, 937, 9488])).
% 41.53/27.14 tff(9625,plain,
% 41.53/27.14 (~v129(constB74, bitIndex0)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9624, 9620])).
% 41.53/27.14 tff(9626,plain,
% 41.53/27.14 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9627,plain,
% 41.53/27.14 (((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0)) <=> ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9628,plain,
% 41.53/27.14 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74))))),
% 41.53/27.14 inference(monotonicity,[status(thm)],[9627])).
% 41.53/27.14 tff(9629,plain,
% 41.53/27.14 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 41.53/27.14 inference(transitivity,[status(thm)],[9628, 9626])).
% 41.53/27.14 tff(9630,plain,
% 41.53/27.14 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9631,plain,
% 41.53/27.14 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74))),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 41.53/27.14 tff(9632,plain,
% 41.53/27.14 ((~v90(constB74, bitIndex0)) | (~v100(constB74))),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9631, 952, 9625])).
% 41.53/27.14 tff(9633,plain,
% 41.53/27.14 (~v90(constB74, bitIndex0)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9632, 9528])).
% 41.53/27.14 tff(9634,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9635,plain,
% 41.53/27.14 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0))) <=> (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9636,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0))))),
% 41.53/27.14 inference(monotonicity,[status(thm)],[9635])).
% 41.53/27.14 tff(9637,plain,
% 41.53/27.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 41.53/27.14 inference(transitivity,[status(thm)],[9636, 9634])).
% 41.53/27.14 tff(9638,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9639,plain,
% 41.53/27.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0))),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9638, 9637])).
% 41.53/27.14 tff(9640,plain,
% 41.53/27.14 (v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0))),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9639, 465, 9556])).
% 41.53/27.14 tff(9641,plain,
% 41.53/27.14 (v90(constB74, bitIndex0) | (~v90(constB75, bitIndex0))),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9640, 9568])).
% 41.53/27.14 tff(9642,plain,
% 41.53/27.14 (~v90(constB75, bitIndex0)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9641, 9633])).
% 41.53/27.14 tff(9643,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9644,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9645,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75)),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 41.53/27.14 tff(9646,plain,
% 41.53/27.14 (v125(constB75)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9645, 1252, 9642, 9608, 9577])).
% 41.53/27.14 tff(9647,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v125(constB75)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v125(constB75)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9648,plain,
% 41.53/27.14 (((~v125(constB75)) | v113(constB75)) <=> (v113(constB75) | (~v125(constB75)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.14 tff(9649,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v125(constB75))))),
% 41.53/27.14 inference(monotonicity,[status(thm)],[9648])).
% 41.53/27.14 tff(9650,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v125(constB75)))),
% 41.53/27.14 inference(transitivity,[status(thm)],[9649, 9647])).
% 41.53/27.14 tff(9651,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB75)) | v113(constB75))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9652,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v125(constB75))),
% 41.53/27.14 inference(modus_ponens,[status(thm)],[9651, 9650])).
% 41.53/27.14 tff(9653,plain,
% 41.53/27.14 (v113(constB75)),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9652, 1263, 9646])).
% 41.53/27.14 tff(9654,assumption,(v26(constB75)), introduced(assumption)).
% 41.53/27.14 tff(9655,plain,
% 41.53/27.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 41.53/27.14 inference(quant_inst,[status(thm)],[])).
% 41.53/27.14 tff(9656,plain,
% 41.53/27.14 ($false),
% 41.53/27.14 inference(unit_resolution,[status(thm)],[9655, 95, 9654])).
% 41.53/27.14 tff(9657,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 41.53/27.14 tff(9658,plain,
% 41.53/27.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 41.53/27.14 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9659,plain,
% 41.53/27.15 ((v26(constB75) | (~v113(constB75)) | v112(constB75)) <=> (v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9660,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75))))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9659])).
% 41.53/27.15 tff(9661,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9660, 9658])).
% 41.53/27.15 tff(9662,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9663,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9662, 9661])).
% 41.53/27.15 tff(9664,plain,
% 41.53/27.15 (v112(constB75) | (~v113(constB75))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9663, 581, 9657])).
% 41.53/27.15 tff(9665,plain,
% 41.53/27.15 (v112(constB75)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9664, 9653])).
% 41.53/27.15 tff(9666,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9667,plain,
% 41.53/27.15 (((~v112(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v112(constB75)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9668,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75))))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9667])).
% 41.53/27.15 tff(9669,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9668, 9666])).
% 41.53/27.15 tff(9670,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9671,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9670, 9669])).
% 41.53/27.15 tff(9672,plain,
% 41.53/27.15 (v108(constB75)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9671, 746, 9665])).
% 41.53/27.15 tff(9673,plain,
% 41.53/27.15 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9674,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 41.53/27.15 tff(9675,plain,
% 41.53/27.15 (nextState(constB75, constB76)),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9674, 9673])).
% 41.53/27.15 tff(9676,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9677,plain,
% 41.53/27.15 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9678,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9677])).
% 41.53/27.15 tff(9679,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9678, 9676])).
% 41.53/27.15 tff(9680,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9681,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9680, 9679])).
% 41.53/27.15 tff(9682,plain,
% 41.53/27.15 (v110(constB76) | (~v108(constB75))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9681, 731, 9675])).
% 41.53/27.15 tff(9683,plain,
% 41.53/27.15 (v110(constB76)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9682, 9672])).
% 41.53/27.15 tff(9684,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9685,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9686,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9685, 9684])).
% 41.53/27.15 tff(9687,plain,
% 41.53/27.15 (~v104(constB76)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9686, 659, 9675, 9553])).
% 41.53/27.15 tff(9688,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9689,plain,
% 41.53/27.15 (((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)) <=> ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9690,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76)))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9689])).
% 41.53/27.15 tff(9691,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9690, 9688])).
% 41.53/27.15 tff(9692,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9693,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76)),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9692, 9691])).
% 41.53/27.15 tff(9694,plain,
% 41.53/27.15 (v104(constB76) | v102(constB76)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9693, 673, 9675])).
% 41.53/27.15 tff(9695,plain,
% 41.53/27.15 (v102(constB76)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9694, 9687])).
% 41.53/27.15 tff(9696,plain,
% 41.53/27.15 (v1(constB76) <=> v1(constB76)),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9697,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 41.53/27.15 tff(9698,plain,
% 41.53/27.15 (v1(constB76)),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9697, 9696])).
% 41.53/27.15 tff(9699,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9700,plain,
% 41.53/27.15 (((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))) <=> ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9701,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76))))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9700])).
% 41.53/27.15 tff(9702,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9701, 9699])).
% 41.53/27.15 tff(9703,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9704,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9703, 9702])).
% 41.53/27.15 tff(9705,plain,
% 41.53/27.15 (v101(constB76) | (~v102(constB76))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9704, 694, 9675, 9698])).
% 41.53/27.15 tff(9706,plain,
% 41.53/27.15 (v101(constB76)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9705, 9695])).
% 41.53/27.15 tff(9707,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9708,plain,
% 41.53/27.15 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9709,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9708])).
% 41.53/27.15 tff(9710,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9709, 9707])).
% 41.53/27.15 tff(9711,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9712,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9711, 9710])).
% 41.53/27.15 tff(9713,plain,
% 41.53/27.15 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9712, 712, 9675])).
% 41.53/27.15 tff(9714,plain,
% 41.53/27.15 (v100(constB76) | (~v110(constB76))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9713, 9706])).
% 41.53/27.15 tff(9715,plain,
% 41.53/27.15 (v100(constB76)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9714, 9683])).
% 41.53/27.15 tff(9716,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB75)) | (~v90(constB75, bitIndex1)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9717,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB75)) | (~v90(constB75, bitIndex1)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9718,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB75)) | (~v90(constB75, bitIndex1))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9717, 9716])).
% 41.53/27.15 tff(9719,plain,
% 41.53/27.15 (~v120(constB75)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9718, 1391, 9608])).
% 41.53/27.15 tff(9720,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB75)) | (~v90(constB75, bitIndex1)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9721,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB75)) | (~v90(constB75, bitIndex1)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9722,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB75)) | (~v90(constB75, bitIndex1))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9721, 9720])).
% 41.53/27.15 tff(9723,plain,
% 41.53/27.15 (~v119(constB75)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9722, 1380, 9608])).
% 41.53/27.15 tff(9724,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB75)) | (~v90(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB75)) | (~v90(constB75, bitIndex2)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9725,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB75)) | (~v90(constB75, bitIndex2)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9726,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB75)) | (~v90(constB75, bitIndex2))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9725, 9724])).
% 41.53/27.15 tff(9727,plain,
% 41.53/27.15 (~v122(constB75)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9726, 1347, 9577])).
% 41.53/27.15 tff(9728,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB75)) | (~v90(constB75, bitIndex1)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9729,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB75)) | (~v90(constB75, bitIndex1)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9730,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB75)) | (~v90(constB75, bitIndex1))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9729, 9728])).
% 41.53/27.15 tff(9731,plain,
% 41.53/27.15 (~v124(constB75)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9730, 1369, 9608])).
% 41.53/27.15 tff(9732,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB75)) | (~v90(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB75)) | (~v90(constB75, bitIndex2)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9733,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB75)) | (~v90(constB75, bitIndex2)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9734,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB75)) | (~v90(constB75, bitIndex2))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9733, 9732])).
% 41.53/27.15 tff(9735,plain,
% 41.53/27.15 (~v121(constB75)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9734, 1336, 9577])).
% 41.53/27.15 tff(9736,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB75)) | (~v90(constB75, bitIndex1)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9737,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB75)) | (~v90(constB75, bitIndex1)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9738,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB75)) | (~v90(constB75, bitIndex1))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9737, 9736])).
% 41.53/27.15 tff(9739,plain,
% 41.53/27.15 (~v123(constB75)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9738, 1358, 9608])).
% 41.53/27.15 tff(9740,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9741,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9742,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9741, 9740])).
% 41.53/27.15 tff(9743,plain,
% 41.53/27.15 (~v130(constB75, bitIndex2)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9742, 1405, 9739, 9735, 9731, 9727, 9723, 9719])).
% 41.53/27.15 tff(9744,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9745,plain,
% 41.53/27.15 ((v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2))) <=> ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9746,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9745])).
% 41.53/27.15 tff(9747,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9746, 9744])).
% 41.53/27.15 tff(9748,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9749,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9748, 9747])).
% 41.53/27.15 tff(9750,plain,
% 41.53/27.15 ((~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9749, 1419, 9657])).
% 41.53/27.15 tff(9751,plain,
% 41.53/27.15 (~v127(constB75, bitIndex2)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9750, 9743])).
% 41.53/27.15 tff(9752,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9753,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9754,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9753, 9752])).
% 41.53/27.15 tff(9755,plain,
% 41.53/27.15 (v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9754, 1437, 9675])).
% 41.53/27.15 tff(9756,plain,
% 41.53/27.15 (~v129(constB76, bitIndex2)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9755, 9751])).
% 41.53/27.15 tff(9757,plain,
% 41.53/27.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9758,plain,
% 41.53/27.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9759,plain,
% 41.53/27.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9758, 9757])).
% 41.53/27.15 tff(9760,plain,
% 41.53/27.15 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9759, 1452, 9756])).
% 41.53/27.15 tff(9761,plain,
% 41.53/27.15 (~v90(constB76, bitIndex2)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9760, 9715])).
% 41.53/27.15 tff(9762,plain,
% 41.53/27.15 ((~v1(constB77)) <=> (~v1(constB77))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9763,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 41.53/27.15 tff(9764,plain,
% 41.53/27.15 (~v1(constB77)),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 41.53/27.15 tff(9765,plain,
% 41.53/27.15 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9766,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 41.53/27.15 tff(9767,plain,
% 41.53/27.15 (nextState(constB76, constB77)),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9766, 9765])).
% 41.53/27.15 tff(9768,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9769,plain,
% 41.53/27.15 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9770,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9769])).
% 41.53/27.15 tff(9771,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9770, 9768])).
% 41.53/27.15 tff(9772,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9773,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 41.53/27.15 tff(9774,plain,
% 41.53/27.15 (~v101(constB77)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9773, 391, 9767, 9764])).
% 41.53/27.15 tff(9775,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9776,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9777,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 41.53/27.15 tff(9778,plain,
% 41.53/27.15 (v101(constB77) | (~v100(constB77))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9777, 408, 9767])).
% 41.53/27.15 tff(9779,plain,
% 41.53/27.15 (~v100(constB77)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9778, 9774])).
% 41.53/27.15 tff(9780,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9781,plain,
% 41.53/27.15 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))) <=> (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9782,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9781])).
% 41.53/27.15 tff(9783,plain,
% 41.53/27.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9782, 9780])).
% 41.53/27.15 tff(9784,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9785,plain,
% 41.53/27.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9784, 9783])).
% 41.53/27.15 tff(9786,plain,
% 41.53/27.15 (v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9785, 423, 9767])).
% 41.53/27.15 tff(9787,plain,
% 41.53/27.15 (v90(constB76, bitIndex2) | (~v90(constB77, bitIndex2))),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9786, 9779])).
% 41.53/27.15 tff(9788,plain,
% 41.53/27.15 (~v90(constB77, bitIndex2)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9787, 9761])).
% 41.53/27.15 tff(9789,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9790,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9791,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1))),
% 41.53/27.15 inference(modus_ponens,[status(thm)],[9790, 9789])).
% 41.53/27.15 tff(9792,plain,
% 41.53/27.15 (~v130(constB75, bitIndex1)),
% 41.53/27.15 inference(unit_resolution,[status(thm)],[9791, 1494, 9739, 9735, 9731, 9727, 9723, 9719])).
% 41.53/27.15 tff(9793,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9794,plain,
% 41.53/27.15 ((v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1))) <=> ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 41.53/27.15 inference(rewrite,[status(thm)],[])).
% 41.53/27.15 tff(9795,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1)))),
% 41.53/27.15 inference(monotonicity,[status(thm)],[9794])).
% 41.53/27.15 tff(9796,plain,
% 41.53/27.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 41.53/27.15 inference(transitivity,[status(thm)],[9795, 9793])).
% 41.53/27.15 tff(9797,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))),
% 41.53/27.15 inference(quant_inst,[status(thm)],[])).
% 41.53/27.15 tff(9798,plain,
% 41.53/27.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9797, 9796])).
% 41.53/27.16 tff(9799,plain,
% 41.53/27.16 ((~v127(constB75, bitIndex1)) | v130(constB75, bitIndex1)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9798, 823, 9657])).
% 41.53/27.16 tff(9800,plain,
% 41.53/27.16 (~v127(constB75, bitIndex1)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9799, 9792])).
% 41.53/27.16 tff(9801,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9802,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9803,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 41.53/27.16 tff(9804,plain,
% 41.53/27.16 (v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9803, 853, 9675])).
% 41.53/27.16 tff(9805,plain,
% 41.53/27.16 (~v129(constB76, bitIndex1)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9804, 9800])).
% 41.53/27.16 tff(9806,plain,
% 41.53/27.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9807,plain,
% 41.53/27.16 (((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9808,plain,
% 41.53/27.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9807])).
% 41.53/27.16 tff(9809,plain,
% 41.53/27.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9808, 9806])).
% 41.53/27.16 tff(9810,plain,
% 41.53/27.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9811,plain,
% 41.53/27.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9810, 9809])).
% 41.53/27.16 tff(9812,plain,
% 41.53/27.16 ((~v90(constB76, bitIndex1)) | (~v100(constB76))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9811, 868, 9805])).
% 41.53/27.16 tff(9813,plain,
% 41.53/27.16 (~v90(constB76, bitIndex1)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9812, 9715])).
% 41.53/27.16 tff(9814,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9815,plain,
% 41.53/27.16 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1))) <=> (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9816,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9815])).
% 41.53/27.16 tff(9817,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9816, 9814])).
% 41.53/27.16 tff(9818,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9819,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9818, 9817])).
% 41.53/27.16 tff(9820,plain,
% 41.53/27.16 (v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9819, 444, 9767])).
% 41.53/27.16 tff(9821,plain,
% 41.53/27.16 (v90(constB76, bitIndex1) | (~v90(constB77, bitIndex1))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9820, 9779])).
% 41.53/27.16 tff(9822,plain,
% 41.53/27.16 (~v90(constB77, bitIndex1)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9821, 9813])).
% 41.53/27.16 tff(9823,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9824,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9825,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9824, 9823])).
% 41.53/27.16 tff(9826,plain,
% 41.53/27.16 (v130(constB75, bitIndex0)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9825, 1538, 9739, 9735, 9731, 9727, 9723, 9719])).
% 41.53/27.16 tff(9827,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9828,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9829,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9828, 9827])).
% 41.53/27.16 tff(9830,plain,
% 41.53/27.16 ((~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9829, 1552, 9657])).
% 41.53/27.16 tff(9831,plain,
% 41.53/27.16 (v127(constB75, bitIndex0)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9830, 9826])).
% 41.53/27.16 tff(9832,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9833,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9834,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9833, 9832])).
% 41.53/27.16 tff(9835,plain,
% 41.53/27.16 ((~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9834, 1567, 9675])).
% 41.53/27.16 tff(9836,plain,
% 41.53/27.16 (v129(constB76, bitIndex0)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9835, 9831])).
% 41.53/27.16 tff(9837,plain,
% 41.53/27.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9838,plain,
% 41.53/27.16 ((v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9839,plain,
% 41.53/27.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9838])).
% 41.53/27.16 tff(9840,plain,
% 41.53/27.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9839, 9837])).
% 41.53/27.16 tff(9841,plain,
% 41.53/27.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9842,plain,
% 41.53/27.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9841, 9840])).
% 41.53/27.16 tff(9843,plain,
% 41.53/27.16 (v90(constB76, bitIndex0) | (~v100(constB76))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9842, 1582, 9836])).
% 41.53/27.16 tff(9844,plain,
% 41.53/27.16 (v90(constB76, bitIndex0)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9843, 9715])).
% 41.53/27.16 tff(9845,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9846,plain,
% 41.53/27.16 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0)) <=> ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9847,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0)))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9846])).
% 41.53/27.16 tff(9848,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9847, 9845])).
% 41.53/27.16 tff(9849,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9850,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9849, 9848])).
% 41.53/27.16 tff(9851,plain,
% 41.53/27.16 ((~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9850, 1600, 9767])).
% 41.53/27.16 tff(9852,plain,
% 41.53/27.16 ((~v90(constB76, bitIndex0)) | v90(constB77, bitIndex0)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9851, 9779])).
% 41.53/27.16 tff(9853,plain,
% 41.53/27.16 (v90(constB77, bitIndex0)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9852, 9844])).
% 41.53/27.16 tff(9854,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9855,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9856,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9855, 9854])).
% 41.53/27.16 tff(9857,plain,
% 41.53/27.16 (v120(constB77)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9856, 1619, 9853, 9822, 9788])).
% 41.53/27.16 tff(9858,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB77)) | v118(constB77))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB77)) | v118(constB77))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9859,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB77)) | v118(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9860,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB77)) | v118(constB77)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9859, 9858])).
% 41.53/27.16 tff(9861,plain,
% 41.53/27.16 (v118(constB77)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9860, 1630, 9857])).
% 41.53/27.16 tff(9862,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v118(constB77)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v118(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9863,plain,
% 41.53/27.16 (((~v118(constB77)) | v117(constB77)) <=> (v117(constB77) | (~v118(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9864,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v118(constB77))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9863])).
% 41.53/27.16 tff(9865,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v118(constB77)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9864, 9862])).
% 41.53/27.16 tff(9866,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB77)) | v117(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9867,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v118(constB77))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9866, 9865])).
% 41.53/27.16 tff(9868,plain,
% 41.53/27.16 (v117(constB77)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9867, 511, 9861])).
% 41.53/27.16 tff(9869,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9870,plain,
% 41.53/27.16 (((~v117(constB77)) | v116(constB77)) <=> (v116(constB77) | (~v117(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9871,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9870])).
% 41.53/27.16 tff(9872,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9871, 9869])).
% 41.53/27.16 tff(9873,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9874,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9873, 9872])).
% 41.53/27.16 tff(9875,plain,
% 41.53/27.16 (v116(constB77)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9874, 525, 9868])).
% 41.53/27.16 tff(9876,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9877,plain,
% 41.53/27.16 (((~v116(constB77)) | v115(constB77)) <=> (v115(constB77) | (~v116(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9878,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9877])).
% 41.53/27.16 tff(9879,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9878, 9876])).
% 41.53/27.16 tff(9880,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9881,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9880, 9879])).
% 41.53/27.16 tff(9882,plain,
% 41.53/27.16 (v115(constB77)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9881, 539, 9875])).
% 41.53/27.16 tff(9883,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9884,plain,
% 41.53/27.16 (((~v115(constB77)) | v114(constB77)) <=> (v114(constB77) | (~v115(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9885,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9884])).
% 41.53/27.16 tff(9886,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9885, 9883])).
% 41.53/27.16 tff(9887,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9888,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9887, 9886])).
% 41.53/27.16 tff(9889,plain,
% 41.53/27.16 (v114(constB77)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9888, 553, 9882])).
% 41.53/27.16 tff(9890,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB77)) | v113(constB77))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9891,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9892,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB77)) | v113(constB77)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9891, 9890])).
% 41.53/27.16 tff(9893,plain,
% 41.53/27.16 (v113(constB77)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9892, 567, 9889])).
% 41.53/27.16 tff(9894,assumption,(v26(constB77)), introduced(assumption)).
% 41.53/27.16 tff(9895,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9896,plain,
% 41.53/27.16 ($false),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9895, 95, 9894])).
% 41.53/27.16 tff(9897,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 41.53/27.16 tff(9898,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9899,plain,
% 41.53/27.16 ((v26(constB77) | (~v113(constB77)) | v112(constB77)) <=> (v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9900,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9899])).
% 41.53/27.16 tff(9901,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9900, 9898])).
% 41.53/27.16 tff(9902,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9903,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9902, 9901])).
% 41.53/27.16 tff(9904,plain,
% 41.53/27.16 (v112(constB77) | (~v113(constB77))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9903, 581, 9897])).
% 41.53/27.16 tff(9905,plain,
% 41.53/27.16 (v112(constB77)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9904, 9893])).
% 41.53/27.16 tff(9906,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9907,plain,
% 41.53/27.16 (((~v112(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v112(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9908,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9907])).
% 41.53/27.16 tff(9909,plain,
% 41.53/27.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9908, 9906])).
% 41.53/27.16 tff(9910,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9911,plain,
% 41.53/27.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9910, 9909])).
% 41.53/27.16 tff(9912,plain,
% 41.53/27.16 (v108(constB77)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9911, 746, 9905])).
% 41.53/27.16 tff(9913,plain,
% 41.53/27.16 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9914,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 41.53/27.16 tff(9915,plain,
% 41.53/27.16 (nextState(constB77, constB78)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9914, 9913])).
% 41.53/27.16 tff(9916,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9917,plain,
% 41.53/27.16 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9918,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9917])).
% 41.53/27.16 tff(9919,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9918, 9916])).
% 41.53/27.16 tff(9920,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9921,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9920, 9919])).
% 41.53/27.16 tff(9922,plain,
% 41.53/27.16 (v110(constB78) | (~v108(constB77))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9921, 731, 9915])).
% 41.53/27.16 tff(9923,plain,
% 41.53/27.16 (v110(constB78)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9922, 9912])).
% 41.53/27.16 tff(9924,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9925,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9926,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9925, 9924])).
% 41.53/27.16 tff(9927,plain,
% 41.53/27.16 (~v104(constB78)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9926, 659, 9915, 9764])).
% 41.53/27.16 tff(9928,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9929,plain,
% 41.53/27.16 (((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)) <=> ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9930,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78)))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9929])).
% 41.53/27.16 tff(9931,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9930, 9928])).
% 41.53/27.16 tff(9932,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9933,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9932, 9931])).
% 41.53/27.16 tff(9934,plain,
% 41.53/27.16 (v104(constB78) | v102(constB78)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9933, 673, 9915])).
% 41.53/27.16 tff(9935,plain,
% 41.53/27.16 (v102(constB78)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9934, 9927])).
% 41.53/27.16 tff(9936,plain,
% 41.53/27.16 (v1(constB78) <=> v1(constB78)),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9937,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 41.53/27.16 tff(9938,plain,
% 41.53/27.16 (v1(constB78)),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9937, 9936])).
% 41.53/27.16 tff(9939,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9940,plain,
% 41.53/27.16 (((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))) <=> ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9941,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9940])).
% 41.53/27.16 tff(9942,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9941, 9939])).
% 41.53/27.16 tff(9943,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9944,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9943, 9942])).
% 41.53/27.16 tff(9945,plain,
% 41.53/27.16 (v101(constB78) | (~v102(constB78))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9944, 694, 9915, 9938])).
% 41.53/27.16 tff(9946,plain,
% 41.53/27.16 (v101(constB78)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9945, 9935])).
% 41.53/27.16 tff(9947,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9948,plain,
% 41.53/27.16 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 41.53/27.16 inference(rewrite,[status(thm)],[])).
% 41.53/27.16 tff(9949,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 41.53/27.16 inference(monotonicity,[status(thm)],[9948])).
% 41.53/27.16 tff(9950,plain,
% 41.53/27.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 41.53/27.16 inference(transitivity,[status(thm)],[9949, 9947])).
% 41.53/27.16 tff(9951,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 41.53/27.16 inference(quant_inst,[status(thm)],[])).
% 41.53/27.16 tff(9952,plain,
% 41.53/27.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 41.53/27.16 inference(modus_ponens,[status(thm)],[9951, 9950])).
% 41.53/27.16 tff(9953,plain,
% 41.53/27.16 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9952, 712, 9915])).
% 41.53/27.16 tff(9954,plain,
% 41.53/27.16 (v100(constB78) | (~v110(constB78))),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9953, 9946])).
% 41.53/27.16 tff(9955,plain,
% 41.53/27.16 (v100(constB78)),
% 41.53/27.16 inference(unit_resolution,[status(thm)],[9954, 9923])).
% 41.53/27.17 tff(9956,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB77)) | (~v130(constB77, bitIndex2)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9957,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex2)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(9958,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB77)) | (~v130(constB77, bitIndex2))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[9957, 9956])).
% 41.53/27.17 tff(9959,plain,
% 41.53/27.17 (~v130(constB77, bitIndex2)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9958, 1732, 9857])).
% 41.53/27.17 tff(9960,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9961,plain,
% 41.53/27.17 ((v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2))) <=> ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9962,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)))),
% 41.53/27.17 inference(monotonicity,[status(thm)],[9961])).
% 41.53/27.17 tff(9963,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 41.53/27.17 inference(transitivity,[status(thm)],[9962, 9960])).
% 41.53/27.17 tff(9964,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(9965,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[9964, 9963])).
% 41.53/27.17 tff(9966,plain,
% 41.53/27.17 ((~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9965, 1419, 9897])).
% 41.53/27.17 tff(9967,plain,
% 41.53/27.17 (~v127(constB77, bitIndex2)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9966, 9959])).
% 41.53/27.17 tff(9968,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9969,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(9970,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[9969, 9968])).
% 41.53/27.17 tff(9971,plain,
% 41.53/27.17 (v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9970, 1437, 9915])).
% 41.53/27.17 tff(9972,plain,
% 41.53/27.17 (~v129(constB78, bitIndex2)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9971, 9967])).
% 41.53/27.17 tff(9973,plain,
% 41.53/27.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9974,plain,
% 41.53/27.17 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(9975,plain,
% 41.53/27.17 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[9974, 9973])).
% 41.53/27.17 tff(9976,plain,
% 41.53/27.17 ((~v90(constB78, bitIndex2)) | (~v100(constB78))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9975, 1452, 9972])).
% 41.53/27.17 tff(9977,plain,
% 41.53/27.17 (~v90(constB78, bitIndex2)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9976, 9955])).
% 41.53/27.17 tff(9978,plain,
% 41.53/27.17 ((~v1(constB79)) <=> (~v1(constB79))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9979,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 41.53/27.17 tff(9980,plain,
% 41.53/27.17 (~v1(constB79)),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[9979, 9978])).
% 41.53/27.17 tff(9981,plain,
% 41.53/27.17 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9982,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 41.53/27.17 tff(9983,plain,
% 41.53/27.17 (nextState(constB78, constB79)),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[9982, 9981])).
% 41.53/27.17 tff(9984,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9985,plain,
% 41.53/27.17 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9986,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 41.53/27.17 inference(monotonicity,[status(thm)],[9985])).
% 41.53/27.17 tff(9987,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 41.53/27.17 inference(transitivity,[status(thm)],[9986, 9984])).
% 41.53/27.17 tff(9988,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(9989,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[9988, 9987])).
% 41.53/27.17 tff(9990,plain,
% 41.53/27.17 (~v101(constB79)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9989, 391, 9983, 9980])).
% 41.53/27.17 tff(9991,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9992,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(9993,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[9992, 9991])).
% 41.53/27.17 tff(9994,plain,
% 41.53/27.17 (v101(constB79) | (~v100(constB79))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9993, 408, 9983])).
% 41.53/27.17 tff(9995,plain,
% 41.53/27.17 (~v100(constB79)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[9994, 9990])).
% 41.53/27.17 tff(9996,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9997,plain,
% 41.53/27.17 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))) <=> (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(9998,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))))),
% 41.53/27.17 inference(monotonicity,[status(thm)],[9997])).
% 41.53/27.17 tff(9999,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 41.53/27.17 inference(transitivity,[status(thm)],[9998, 9996])).
% 41.53/27.17 tff(10000,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10001,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10000, 9999])).
% 41.53/27.17 tff(10002,plain,
% 41.53/27.17 (v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10001, 423, 9983])).
% 41.53/27.17 tff(10003,plain,
% 41.53/27.17 (v90(constB78, bitIndex2) | (~v90(constB79, bitIndex2))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10002, 9995])).
% 41.53/27.17 tff(10004,plain,
% 41.53/27.17 (~v90(constB79, bitIndex2)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10003, 9977])).
% 41.53/27.17 tff(10005,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB77)) | v130(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB77)) | v130(constB77, bitIndex1))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10006,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB77)) | v130(constB77, bitIndex1))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10007,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB77)) | v130(constB77, bitIndex1)),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 41.53/27.17 tff(10008,plain,
% 41.53/27.17 (v130(constB77, bitIndex1)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10007, 1788, 9857])).
% 41.53/27.17 tff(10009,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10010,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10011,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10010, 10009])).
% 41.53/27.17 tff(10012,plain,
% 41.53/27.17 ((~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10011, 1144, 9897])).
% 41.53/27.17 tff(10013,plain,
% 41.53/27.17 (v127(constB77, bitIndex1)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10012, 10008])).
% 41.53/27.17 tff(10014,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10015,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10016,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10015, 10014])).
% 41.53/27.17 tff(10017,plain,
% 41.53/27.17 ((~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10016, 1159, 9915])).
% 41.53/27.17 tff(10018,plain,
% 41.53/27.17 (v129(constB78, bitIndex1)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10017, 10013])).
% 41.53/27.17 tff(10019,plain,
% 41.53/27.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10020,plain,
% 41.53/27.17 ((v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1))) <=> (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10021,plain,
% 41.53/27.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))))),
% 41.53/27.17 inference(monotonicity,[status(thm)],[10020])).
% 41.53/27.17 tff(10022,plain,
% 41.53/27.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 41.53/27.17 inference(transitivity,[status(thm)],[10021, 10019])).
% 41.53/27.17 tff(10023,plain,
% 41.53/27.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10024,plain,
% 41.53/27.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 41.53/27.17 tff(10025,plain,
% 41.53/27.17 (v90(constB78, bitIndex1) | (~v100(constB78))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10024, 1174, 10018])).
% 41.53/27.17 tff(10026,plain,
% 41.53/27.17 (v90(constB78, bitIndex1)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10025, 9955])).
% 41.53/27.17 tff(10027,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10028,plain,
% 41.53/27.17 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)) <=> ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10029,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)))),
% 41.53/27.17 inference(monotonicity,[status(thm)],[10028])).
% 41.53/27.17 tff(10030,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 41.53/27.17 inference(transitivity,[status(thm)],[10029, 10027])).
% 41.53/27.17 tff(10031,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10032,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10031, 10030])).
% 41.53/27.17 tff(10033,plain,
% 41.53/27.17 ((~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10032, 1192, 9983])).
% 41.53/27.17 tff(10034,plain,
% 41.53/27.17 ((~v90(constB78, bitIndex1)) | v90(constB79, bitIndex1)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10033, 9995])).
% 41.53/27.17 tff(10035,plain,
% 41.53/27.17 (v90(constB79, bitIndex1)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10034, 10026])).
% 41.53/27.17 tff(10036,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB77)) | (~v130(constB77, bitIndex0)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10037,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex0)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10038,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB77)) | (~v130(constB77, bitIndex0))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10037, 10036])).
% 41.53/27.17 tff(10039,plain,
% 41.53/27.17 (~v130(constB77, bitIndex0)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10038, 1826, 9857])).
% 41.53/27.17 tff(10040,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10041,plain,
% 41.53/27.17 ((v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0))) <=> ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10042,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0)))),
% 41.53/27.17 inference(monotonicity,[status(thm)],[10041])).
% 41.53/27.17 tff(10043,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 41.53/27.17 inference(transitivity,[status(thm)],[10042, 10040])).
% 41.53/27.17 tff(10044,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10045,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0)),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10044, 10043])).
% 41.53/27.17 tff(10046,plain,
% 41.53/27.17 ((~v127(constB77, bitIndex0)) | v130(constB77, bitIndex0)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10045, 907, 9897])).
% 41.53/27.17 tff(10047,plain,
% 41.53/27.17 (~v127(constB77, bitIndex0)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10046, 10039])).
% 41.53/27.17 tff(10048,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10049,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10050,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 41.53/27.17 tff(10051,plain,
% 41.53/27.17 (v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10050, 937, 9915])).
% 41.53/27.17 tff(10052,plain,
% 41.53/27.17 (~v129(constB78, bitIndex0)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10051, 10047])).
% 41.53/27.17 tff(10053,plain,
% 41.53/27.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10054,plain,
% 41.53/27.17 (((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0)) <=> ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10055,plain,
% 41.53/27.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78))))),
% 41.53/27.17 inference(monotonicity,[status(thm)],[10054])).
% 41.53/27.17 tff(10056,plain,
% 41.53/27.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 41.53/27.17 inference(transitivity,[status(thm)],[10055, 10053])).
% 41.53/27.17 tff(10057,plain,
% 41.53/27.17 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10058,plain,
% 41.53/27.17 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10057, 10056])).
% 41.53/27.17 tff(10059,plain,
% 41.53/27.17 ((~v90(constB78, bitIndex0)) | (~v100(constB78))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10058, 952, 10052])).
% 41.53/27.17 tff(10060,plain,
% 41.53/27.17 (~v90(constB78, bitIndex0)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10059, 9955])).
% 41.53/27.17 tff(10061,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10062,plain,
% 41.53/27.17 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0))) <=> (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10063,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0))))),
% 41.53/27.17 inference(monotonicity,[status(thm)],[10062])).
% 41.53/27.17 tff(10064,plain,
% 41.53/27.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 41.53/27.17 inference(transitivity,[status(thm)],[10063, 10061])).
% 41.53/27.17 tff(10065,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 41.53/27.17 inference(quant_inst,[status(thm)],[])).
% 41.53/27.17 tff(10066,plain,
% 41.53/27.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0))),
% 41.53/27.17 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 41.53/27.17 tff(10067,plain,
% 41.53/27.17 (v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10066, 465, 9983])).
% 41.53/27.17 tff(10068,plain,
% 41.53/27.17 (v90(constB78, bitIndex0) | (~v90(constB79, bitIndex0))),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10067, 9995])).
% 41.53/27.17 tff(10069,plain,
% 41.53/27.17 (~v90(constB79, bitIndex0)),
% 41.53/27.17 inference(unit_resolution,[status(thm)],[10068, 10060])).
% 41.53/27.17 tff(10070,plain,
% 41.53/27.17 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))),
% 41.53/27.17 inference(rewrite,[status(thm)],[])).
% 41.53/27.17 tff(10071,plain,
% 41.53/27.17 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10072,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10071, 10070])).
% 41.53/27.18 tff(10073,plain,
% 41.53/27.18 (v121(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10072, 1870, 10069, 10035, 10004])).
% 41.53/27.18 tff(10074,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB79)) | v117(constB79))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB79)) | v117(constB79))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10075,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB79)) | v117(constB79))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10076,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB79)) | v117(constB79)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10075, 10074])).
% 41.53/27.18 tff(10077,plain,
% 41.53/27.18 (v117(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10076, 1881, 10073])).
% 41.53/27.18 tff(10078,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v117(constB79)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v117(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10079,plain,
% 41.53/27.18 (((~v117(constB79)) | v116(constB79)) <=> (v116(constB79) | (~v117(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10080,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v117(constB79))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10079])).
% 41.53/27.18 tff(10081,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v117(constB79)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10080, 10078])).
% 41.53/27.18 tff(10082,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB79)) | v116(constB79))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10083,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v117(constB79))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10082, 10081])).
% 41.53/27.18 tff(10084,plain,
% 41.53/27.18 (v116(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10083, 525, 10077])).
% 41.53/27.18 tff(10085,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB79)) | v115(constB79))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10086,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10087,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB79)) | v115(constB79)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10086, 10085])).
% 41.53/27.18 tff(10088,plain,
% 41.53/27.18 (v115(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10087, 539, 10084])).
% 41.53/27.18 tff(10089,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10090,plain,
% 41.53/27.18 (((~v115(constB79)) | v114(constB79)) <=> (v114(constB79) | (~v115(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10091,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10090])).
% 41.53/27.18 tff(10092,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10091, 10089])).
% 41.53/27.18 tff(10093,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10094,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10093, 10092])).
% 41.53/27.18 tff(10095,plain,
% 41.53/27.18 (v114(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10094, 553, 10088])).
% 41.53/27.18 tff(10096,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10097,plain,
% 41.53/27.18 (((~v114(constB79)) | v113(constB79)) <=> (v113(constB79) | (~v114(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10098,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10097])).
% 41.53/27.18 tff(10099,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10098, 10096])).
% 41.53/27.18 tff(10100,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10101,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 41.53/27.18 tff(10102,plain,
% 41.53/27.18 (v113(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10101, 567, 10095])).
% 41.53/27.18 tff(10103,assumption,(v26(constB79)), introduced(assumption)).
% 41.53/27.18 tff(10104,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10105,plain,
% 41.53/27.18 ($false),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10104, 95, 10103])).
% 41.53/27.18 tff(10106,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 41.53/27.18 tff(10107,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10108,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10109,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 41.53/27.18 tff(10110,plain,
% 41.53/27.18 ((~v113(constB79)) | v112(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10109, 581, 10106])).
% 41.53/27.18 tff(10111,plain,
% 41.53/27.18 (v112(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10110, 10102])).
% 41.53/27.18 tff(10112,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10113,plain,
% 41.53/27.18 (((~v112(constB79)) | v108(constB79)) <=> (v108(constB79) | (~v112(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10114,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10113])).
% 41.53/27.18 tff(10115,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10114, 10112])).
% 41.53/27.18 tff(10116,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10117,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 41.53/27.18 tff(10118,plain,
% 41.53/27.18 (v108(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10117, 746, 10111])).
% 41.53/27.18 tff(10119,plain,
% 41.53/27.18 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10120,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 41.53/27.18 tff(10121,plain,
% 41.53/27.18 (nextState(constB79, constB80)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10120, 10119])).
% 41.53/27.18 tff(10122,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10123,plain,
% 41.53/27.18 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10124,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10123])).
% 41.53/27.18 tff(10125,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10124, 10122])).
% 41.53/27.18 tff(10126,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10127,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10126, 10125])).
% 41.53/27.18 tff(10128,plain,
% 41.53/27.18 (v110(constB80) | (~v108(constB79))),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10127, 731, 10121])).
% 41.53/27.18 tff(10129,plain,
% 41.53/27.18 (v110(constB80)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10128, 10118])).
% 41.53/27.18 tff(10130,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10131,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10132,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 41.53/27.18 tff(10133,plain,
% 41.53/27.18 (~v104(constB80)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10132, 659, 10121, 9980])).
% 41.53/27.18 tff(10134,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10135,plain,
% 41.53/27.18 (((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)) <=> ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10136,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80)))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10135])).
% 41.53/27.18 tff(10137,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10136, 10134])).
% 41.53/27.18 tff(10138,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10139,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10138, 10137])).
% 41.53/27.18 tff(10140,plain,
% 41.53/27.18 (v104(constB80) | v102(constB80)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10139, 673, 10121])).
% 41.53/27.18 tff(10141,plain,
% 41.53/27.18 (v102(constB80)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10140, 10133])).
% 41.53/27.18 tff(10142,plain,
% 41.53/27.18 (v1(constB80) <=> v1(constB80)),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10143,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 41.53/27.18 tff(10144,plain,
% 41.53/27.18 (v1(constB80)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10143, 10142])).
% 41.53/27.18 tff(10145,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10146,plain,
% 41.53/27.18 (((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))) <=> ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10147,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10146])).
% 41.53/27.18 tff(10148,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10147, 10145])).
% 41.53/27.18 tff(10149,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10150,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10149, 10148])).
% 41.53/27.18 tff(10151,plain,
% 41.53/27.18 (v101(constB80) | (~v102(constB80))),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10150, 694, 10121, 10144])).
% 41.53/27.18 tff(10152,plain,
% 41.53/27.18 (v101(constB80)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10151, 10141])).
% 41.53/27.18 tff(10153,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10154,plain,
% 41.53/27.18 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10155,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10154])).
% 41.53/27.18 tff(10156,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10155, 10153])).
% 41.53/27.18 tff(10157,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10158,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10157, 10156])).
% 41.53/27.18 tff(10159,plain,
% 41.53/27.18 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10158, 712, 10121])).
% 41.53/27.18 tff(10160,plain,
% 41.53/27.18 (v100(constB80) | (~v110(constB80))),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10159, 10152])).
% 41.53/27.18 tff(10161,plain,
% 41.53/27.18 (v100(constB80)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10160, 10129])).
% 41.53/27.18 tff(10162,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB79)) | (~v130(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB79)) | (~v130(constB79, bitIndex2)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10163,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB79)) | (~v130(constB79, bitIndex2)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10164,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB79)) | (~v130(constB79, bitIndex2))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10163, 10162])).
% 41.53/27.18 tff(10165,plain,
% 41.53/27.18 (~v130(constB79, bitIndex2)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10164, 1990, 10073])).
% 41.53/27.18 tff(10166,assumption,(v127(constB79, bitIndex2)), introduced(assumption)).
% 41.53/27.18 tff(10167,assumption,(~v130(constB79, bitIndex2)), introduced(assumption)).
% 41.53/27.18 tff(10168,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10169,plain,
% 41.53/27.18 ((v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2))) <=> ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10170,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2)))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10169])).
% 41.53/27.18 tff(10171,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10170, 10168])).
% 41.53/27.18 tff(10172,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10173,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10172, 10171])).
% 41.53/27.18 tff(10174,plain,
% 41.53/27.18 ((~v127(constB79, bitIndex2)) | v26(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10173, 1419, 10167])).
% 41.53/27.18 tff(10175,plain,
% 41.53/27.18 (v26(constB79)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10174, 10166])).
% 41.53/27.18 tff(10176,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB79)) | (~v127(constB79, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB79)) | (~v127(constB79, bitIndex2)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10177,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB79)) | (~v127(constB79, bitIndex2)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10178,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB79)) | (~v127(constB79, bitIndex2))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10177, 10176])).
% 41.53/27.18 tff(10179,plain,
% 41.53/27.18 ($false),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10178, 9124, 10166, 10175])).
% 41.53/27.18 tff(10180,plain,((~v127(constB79, bitIndex2)) | v130(constB79, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.53/27.18 tff(10181,plain,
% 41.53/27.18 (~v127(constB79, bitIndex2)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10180, 10165])).
% 41.53/27.18 tff(10182,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10183,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10184,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 41.53/27.18 tff(10185,plain,
% 41.53/27.18 (v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2))),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10184, 1437, 10121])).
% 41.53/27.18 tff(10186,plain,
% 41.53/27.18 (~v129(constB80, bitIndex2)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10185, 10181])).
% 41.53/27.18 tff(10187,plain,
% 41.53/27.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10188,plain,
% 41.53/27.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10189,plain,
% 41.53/27.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10188, 10187])).
% 41.53/27.18 tff(10190,plain,
% 41.53/27.18 ((~v90(constB80, bitIndex2)) | (~v100(constB80))),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10189, 1452, 10186])).
% 41.53/27.18 tff(10191,plain,
% 41.53/27.18 (~v90(constB80, bitIndex2)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10190, 10161])).
% 41.53/27.18 tff(10192,plain,
% 41.53/27.18 ((~v1(constB81)) <=> (~v1(constB81))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10193,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 41.53/27.18 tff(10194,plain,
% 41.53/27.18 (~v1(constB81)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10193, 10192])).
% 41.53/27.18 tff(10195,plain,
% 41.53/27.18 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10196,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 41.53/27.18 tff(10197,plain,
% 41.53/27.18 (nextState(constB80, constB81)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10196, 10195])).
% 41.53/27.18 tff(10198,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10199,plain,
% 41.53/27.18 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10200,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10199])).
% 41.53/27.18 tff(10201,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10200, 10198])).
% 41.53/27.18 tff(10202,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10203,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10202, 10201])).
% 41.53/27.18 tff(10204,plain,
% 41.53/27.18 (~v101(constB81)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10203, 391, 10197, 10194])).
% 41.53/27.18 tff(10205,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10206,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10207,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10206, 10205])).
% 41.53/27.18 tff(10208,plain,
% 41.53/27.18 (v101(constB81) | (~v100(constB81))),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10207, 408, 10197])).
% 41.53/27.18 tff(10209,plain,
% 41.53/27.18 (~v100(constB81)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10208, 10204])).
% 41.53/27.18 tff(10210,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10211,plain,
% 41.53/27.18 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2))) <=> (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10212,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10211])).
% 41.53/27.18 tff(10213,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10212, 10210])).
% 41.53/27.18 tff(10214,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10215,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2))),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10214, 10213])).
% 41.53/27.18 tff(10216,plain,
% 41.53/27.18 (v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2))),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10215, 423, 10197])).
% 41.53/27.18 tff(10217,plain,
% 41.53/27.18 (v90(constB80, bitIndex2) | (~v90(constB81, bitIndex2))),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10216, 10209])).
% 41.53/27.18 tff(10218,plain,
% 41.53/27.18 (~v90(constB81, bitIndex2)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10217, 10191])).
% 41.53/27.18 tff(10219,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB79)) | v130(constB79, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB79)) | v130(constB79, bitIndex1))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10220,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB79)) | v130(constB79, bitIndex1))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10221,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB79)) | v130(constB79, bitIndex1)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10220, 10219])).
% 41.53/27.18 tff(10222,plain,
% 41.53/27.18 (v130(constB79, bitIndex1)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10221, 2050, 10073])).
% 41.53/27.18 tff(10223,plain,
% 41.53/27.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10224,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10225,plain,
% 41.53/27.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 41.53/27.18 tff(10226,plain,
% 41.53/27.18 ((~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10225, 1144, 10106])).
% 41.53/27.18 tff(10227,plain,
% 41.53/27.18 (v127(constB79, bitIndex1)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10226, 10222])).
% 41.53/27.18 tff(10228,plain,
% 41.53/27.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10229,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10230,plain,
% 41.53/27.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1)),
% 41.53/27.18 inference(modus_ponens,[status(thm)],[10229, 10228])).
% 41.53/27.18 tff(10231,plain,
% 41.53/27.18 ((~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10230, 1159, 10121])).
% 41.53/27.18 tff(10232,plain,
% 41.53/27.18 (v129(constB80, bitIndex1)),
% 41.53/27.18 inference(unit_resolution,[status(thm)],[10231, 10227])).
% 41.53/27.18 tff(10233,plain,
% 41.53/27.18 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10234,plain,
% 41.53/27.18 ((v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1))) <=> (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 41.53/27.18 inference(rewrite,[status(thm)],[])).
% 41.53/27.18 tff(10235,plain,
% 41.53/27.18 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80))))),
% 41.53/27.18 inference(monotonicity,[status(thm)],[10234])).
% 41.53/27.18 tff(10236,plain,
% 41.53/27.18 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 41.53/27.18 inference(transitivity,[status(thm)],[10235, 10233])).
% 41.53/27.18 tff(10237,plain,
% 41.53/27.18 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))),
% 41.53/27.18 inference(quant_inst,[status(thm)],[])).
% 41.53/27.18 tff(10238,plain,
% 41.53/27.18 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 41.53/27.19 tff(10239,plain,
% 41.53/27.19 (v90(constB80, bitIndex1) | (~v100(constB80))),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10238, 1174, 10232])).
% 41.53/27.19 tff(10240,plain,
% 41.53/27.19 (v90(constB80, bitIndex1)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10239, 10161])).
% 41.53/27.19 tff(10241,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10242,plain,
% 41.53/27.19 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1)) <=> ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10243,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1)))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10242])).
% 41.53/27.19 tff(10244,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10243, 10241])).
% 41.53/27.19 tff(10245,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10246,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10245, 10244])).
% 41.53/27.19 tff(10247,plain,
% 41.53/27.19 ((~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10246, 1192, 10197])).
% 41.53/27.19 tff(10248,plain,
% 41.53/27.19 ((~v90(constB80, bitIndex1)) | v90(constB81, bitIndex1)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10247, 10209])).
% 41.53/27.19 tff(10249,plain,
% 41.53/27.19 (v90(constB81, bitIndex1)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10248, 10240])).
% 41.53/27.19 tff(10250,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB79)) | v130(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB79)) | v130(constB79, bitIndex0))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10251,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB79)) | v130(constB79, bitIndex0))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10252,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB79)) | v130(constB79, bitIndex0)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10251, 10250])).
% 41.53/27.19 tff(10253,plain,
% 41.53/27.19 (v130(constB79, bitIndex0)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10252, 2088, 10073])).
% 41.53/27.19 tff(10254,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10255,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10256,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10255, 10254])).
% 41.53/27.19 tff(10257,plain,
% 41.53/27.19 ((~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10256, 1552, 10106])).
% 41.53/27.19 tff(10258,plain,
% 41.53/27.19 (v127(constB79, bitIndex0)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10257, 10253])).
% 41.53/27.19 tff(10259,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10260,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10261,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10260, 10259])).
% 41.53/27.19 tff(10262,plain,
% 41.53/27.19 ((~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10261, 1567, 10121])).
% 41.53/27.19 tff(10263,plain,
% 41.53/27.19 (v129(constB80, bitIndex0)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10262, 10258])).
% 41.53/27.19 tff(10264,plain,
% 41.53/27.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10265,plain,
% 41.53/27.19 ((v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0))) <=> (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10266,plain,
% 41.53/27.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80))))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10265])).
% 41.53/27.19 tff(10267,plain,
% 41.53/27.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10266, 10264])).
% 41.53/27.19 tff(10268,plain,
% 41.53/27.19 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10269,plain,
% 41.53/27.19 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10268, 10267])).
% 41.53/27.19 tff(10270,plain,
% 41.53/27.19 (v90(constB80, bitIndex0) | (~v100(constB80))),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10269, 1582, 10263])).
% 41.53/27.19 tff(10271,plain,
% 41.53/27.19 (v90(constB80, bitIndex0)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10270, 10161])).
% 41.53/27.19 tff(10272,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10273,plain,
% 41.53/27.19 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0)) <=> ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10274,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0)))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10273])).
% 41.53/27.19 tff(10275,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10274, 10272])).
% 41.53/27.19 tff(10276,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10277,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10276, 10275])).
% 41.53/27.19 tff(10278,plain,
% 41.53/27.19 ((~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10277, 1600, 10197])).
% 41.53/27.19 tff(10279,plain,
% 41.53/27.19 ((~v90(constB80, bitIndex0)) | v90(constB81, bitIndex0)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10278, 10209])).
% 41.53/27.19 tff(10280,plain,
% 41.53/27.19 (v90(constB81, bitIndex0)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10279, 10271])).
% 41.53/27.19 tff(10281,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10282,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10283,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10282, 10281])).
% 41.53/27.19 tff(10284,plain,
% 41.53/27.19 (v122(constB81)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10283, 2129, 10280, 10249, 10218])).
% 41.53/27.19 tff(10285,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB81)) | v116(constB81))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB81)) | v116(constB81))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10286,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB81)) | v116(constB81))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10287,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB81)) | v116(constB81)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10286, 10285])).
% 41.53/27.19 tff(10288,plain,
% 41.53/27.19 (v116(constB81)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10287, 2140, 10284])).
% 41.53/27.19 tff(10289,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB81) | (~v116(constB81)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB81) | (~v116(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10290,plain,
% 41.53/27.19 (((~v116(constB81)) | v115(constB81)) <=> (v115(constB81) | (~v116(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10291,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB81) | (~v116(constB81))))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10290])).
% 41.53/27.19 tff(10292,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB81) | (~v116(constB81)))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10291, 10289])).
% 41.53/27.19 tff(10293,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB81)) | v115(constB81))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10294,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB81) | (~v116(constB81))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10293, 10292])).
% 41.53/27.19 tff(10295,plain,
% 41.53/27.19 (v115(constB81)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10294, 539, 10288])).
% 41.53/27.19 tff(10296,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB81)) | v114(constB81))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10297,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10298,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB81)) | v114(constB81)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 41.53/27.19 tff(10299,plain,
% 41.53/27.19 (v114(constB81)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10298, 553, 10295])).
% 41.53/27.19 tff(10300,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10301,plain,
% 41.53/27.19 (((~v114(constB81)) | v113(constB81)) <=> (v113(constB81) | (~v114(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10302,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81))))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10301])).
% 41.53/27.19 tff(10303,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10302, 10300])).
% 41.53/27.19 tff(10304,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10305,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10304, 10303])).
% 41.53/27.19 tff(10306,plain,
% 41.53/27.19 (v113(constB81)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10305, 567, 10299])).
% 41.53/27.19 tff(10307,assumption,(v26(constB81)), introduced(assumption)).
% 41.53/27.19 tff(10308,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10309,plain,
% 41.53/27.19 ($false),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10308, 95, 10307])).
% 41.53/27.19 tff(10310,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 41.53/27.19 tff(10311,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10312,plain,
% 41.53/27.19 ((v26(constB81) | (~v113(constB81)) | v112(constB81)) <=> (v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10313,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81))))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10312])).
% 41.53/27.19 tff(10314,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10313, 10311])).
% 41.53/27.19 tff(10315,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10316,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10315, 10314])).
% 41.53/27.19 tff(10317,plain,
% 41.53/27.19 (v112(constB81) | (~v113(constB81))),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10316, 581, 10310])).
% 41.53/27.19 tff(10318,plain,
% 41.53/27.19 (v112(constB81)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10317, 10306])).
% 41.53/27.19 tff(10319,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10320,plain,
% 41.53/27.19 (((~v112(constB81)) | v108(constB81)) <=> (v108(constB81) | (~v112(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10321,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81))))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10320])).
% 41.53/27.19 tff(10322,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10321, 10319])).
% 41.53/27.19 tff(10323,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10324,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10323, 10322])).
% 41.53/27.19 tff(10325,plain,
% 41.53/27.19 (v108(constB81)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10324, 746, 10318])).
% 41.53/27.19 tff(10326,plain,
% 41.53/27.19 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10327,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 41.53/27.19 tff(10328,plain,
% 41.53/27.19 (nextState(constB81, constB82)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10327, 10326])).
% 41.53/27.19 tff(10329,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10330,plain,
% 41.53/27.19 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10331,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10330])).
% 41.53/27.19 tff(10332,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10331, 10329])).
% 41.53/27.19 tff(10333,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10334,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10333, 10332])).
% 41.53/27.19 tff(10335,plain,
% 41.53/27.19 (v110(constB82) | (~v108(constB81))),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10334, 731, 10328])).
% 41.53/27.19 tff(10336,plain,
% 41.53/27.19 (v110(constB82)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10335, 10325])).
% 41.53/27.19 tff(10337,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10338,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10339,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 41.53/27.19 tff(10340,plain,
% 41.53/27.19 (~v104(constB82)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10339, 659, 10328, 10194])).
% 41.53/27.19 tff(10341,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10342,plain,
% 41.53/27.19 (((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)) <=> ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10343,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82)))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10342])).
% 41.53/27.19 tff(10344,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10343, 10341])).
% 41.53/27.19 tff(10345,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10346,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10345, 10344])).
% 41.53/27.19 tff(10347,plain,
% 41.53/27.19 (v104(constB82) | v102(constB82)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10346, 673, 10328])).
% 41.53/27.19 tff(10348,plain,
% 41.53/27.19 (v102(constB82)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10347, 10340])).
% 41.53/27.19 tff(10349,plain,
% 41.53/27.19 (v1(constB82) <=> v1(constB82)),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10350,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 41.53/27.19 tff(10351,plain,
% 41.53/27.19 (v1(constB82)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 41.53/27.19 tff(10352,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10353,plain,
% 41.53/27.19 (((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))) <=> ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10354,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82))))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10353])).
% 41.53/27.19 tff(10355,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10354, 10352])).
% 41.53/27.19 tff(10356,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10357,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 41.53/27.19 tff(10358,plain,
% 41.53/27.19 (v101(constB82) | (~v102(constB82))),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10357, 694, 10328, 10351])).
% 41.53/27.19 tff(10359,plain,
% 41.53/27.19 (v101(constB82)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10358, 10348])).
% 41.53/27.19 tff(10360,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10361,plain,
% 41.53/27.19 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10362,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 41.53/27.19 inference(monotonicity,[status(thm)],[10361])).
% 41.53/27.19 tff(10363,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 41.53/27.19 inference(transitivity,[status(thm)],[10362, 10360])).
% 41.53/27.19 tff(10364,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10365,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 41.53/27.19 tff(10366,plain,
% 41.53/27.19 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10365, 712, 10328])).
% 41.53/27.19 tff(10367,plain,
% 41.53/27.19 (v100(constB82) | (~v110(constB82))),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10366, 10359])).
% 41.53/27.19 tff(10368,plain,
% 41.53/27.19 (v100(constB82)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10367, 10336])).
% 41.53/27.19 tff(10369,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB81)) | v130(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB81)) | v130(constB81, bitIndex2))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10370,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB81)) | v130(constB81, bitIndex2))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10371,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB81)) | v130(constB81, bitIndex2)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10370, 10369])).
% 41.53/27.19 tff(10372,plain,
% 41.53/27.19 (v130(constB81, bitIndex2)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10371, 2224, 10284])).
% 41.53/27.19 tff(10373,plain,
% 41.53/27.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10374,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10375,plain,
% 41.53/27.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 41.53/27.19 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 41.53/27.19 tff(10376,plain,
% 41.53/27.19 ((~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10375, 607, 10310])).
% 41.53/27.19 tff(10377,plain,
% 41.53/27.19 (v127(constB81, bitIndex2)),
% 41.53/27.19 inference(unit_resolution,[status(thm)],[10376, 10372])).
% 41.53/27.19 tff(10378,plain,
% 41.53/27.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 41.53/27.19 inference(rewrite,[status(thm)],[])).
% 41.53/27.19 tff(10379,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 41.53/27.19 inference(quant_inst,[status(thm)],[])).
% 41.53/27.19 tff(10380,plain,
% 41.53/27.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10379, 10378])).
% 41.53/27.20 tff(10381,plain,
% 41.53/27.20 ((~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10380, 625, 10328])).
% 41.53/27.20 tff(10382,plain,
% 41.53/27.20 (v129(constB82, bitIndex2)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10381, 10377])).
% 41.53/27.20 tff(10383,plain,
% 41.53/27.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10384,plain,
% 41.53/27.20 ((v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2))) <=> (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10385,plain,
% 41.53/27.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))))),
% 41.53/27.20 inference(monotonicity,[status(thm)],[10384])).
% 41.53/27.20 tff(10386,plain,
% 41.53/27.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 41.53/27.20 inference(transitivity,[status(thm)],[10385, 10383])).
% 41.53/27.20 tff(10387,plain,
% 41.53/27.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10388,plain,
% 41.53/27.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10387, 10386])).
% 41.53/27.20 tff(10389,plain,
% 41.53/27.20 (v90(constB82, bitIndex2) | (~v100(constB82))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10388, 641, 10382])).
% 41.53/27.20 tff(10390,plain,
% 41.53/27.20 (v90(constB82, bitIndex2)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10389, 10368])).
% 41.53/27.20 tff(10391,plain,
% 41.53/27.20 ((~v1(constB83)) <=> (~v1(constB83))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10392,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 41.53/27.20 tff(10393,plain,
% 41.53/27.20 (~v1(constB83)),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10392, 10391])).
% 41.53/27.20 tff(10394,plain,
% 41.53/27.20 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10395,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 41.53/27.20 tff(10396,plain,
% 41.53/27.20 (nextState(constB82, constB83)),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10395, 10394])).
% 41.53/27.20 tff(10397,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10398,plain,
% 41.53/27.20 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10399,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 41.53/27.20 inference(monotonicity,[status(thm)],[10398])).
% 41.53/27.20 tff(10400,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 41.53/27.20 inference(transitivity,[status(thm)],[10399, 10397])).
% 41.53/27.20 tff(10401,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10402,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10401, 10400])).
% 41.53/27.20 tff(10403,plain,
% 41.53/27.20 (~v101(constB83)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10402, 391, 10396, 10393])).
% 41.53/27.20 tff(10404,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10405,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10406,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10405, 10404])).
% 41.53/27.20 tff(10407,plain,
% 41.53/27.20 (v101(constB83) | (~v100(constB83))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10406, 408, 10396])).
% 41.53/27.20 tff(10408,plain,
% 41.53/27.20 (~v100(constB83)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10407, 10403])).
% 41.53/27.20 tff(10409,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10410,plain,
% 41.53/27.20 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)) <=> ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10411,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)))),
% 41.53/27.20 inference(monotonicity,[status(thm)],[10410])).
% 41.53/27.20 tff(10412,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 41.53/27.20 inference(transitivity,[status(thm)],[10411, 10409])).
% 41.53/27.20 tff(10413,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10414,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10413, 10412])).
% 41.53/27.20 tff(10415,plain,
% 41.53/27.20 ((~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10414, 783, 10396])).
% 41.53/27.20 tff(10416,plain,
% 41.53/27.20 ((~v90(constB82, bitIndex2)) | v90(constB83, bitIndex2)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10415, 10408])).
% 41.53/27.20 tff(10417,plain,
% 41.53/27.20 (v90(constB83, bitIndex2)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10416, 10390])).
% 41.53/27.20 tff(10418,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB81)) | (~v130(constB81, bitIndex1)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10419,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex1)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10420,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB81)) | (~v130(constB81, bitIndex1))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10419, 10418])).
% 41.53/27.20 tff(10421,plain,
% 41.53/27.20 (~v130(constB81, bitIndex1)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10420, 2281, 10284])).
% 41.53/27.20 tff(10422,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10423,plain,
% 41.53/27.20 ((v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1))) <=> ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10424,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)))),
% 41.53/27.20 inference(monotonicity,[status(thm)],[10423])).
% 41.53/27.20 tff(10425,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 41.53/27.20 inference(transitivity,[status(thm)],[10424, 10422])).
% 41.53/27.20 tff(10426,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10427,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10426, 10425])).
% 41.53/27.20 tff(10428,plain,
% 41.53/27.20 ((~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10427, 823, 10310])).
% 41.53/27.20 tff(10429,plain,
% 41.53/27.20 (~v127(constB81, bitIndex1)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10428, 10421])).
% 41.53/27.20 tff(10430,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10431,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10432,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10431, 10430])).
% 41.53/27.20 tff(10433,plain,
% 41.53/27.20 (v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10432, 853, 10328])).
% 41.53/27.20 tff(10434,plain,
% 41.53/27.20 (~v129(constB82, bitIndex1)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10433, 10429])).
% 41.53/27.20 tff(10435,plain,
% 41.53/27.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10436,plain,
% 41.53/27.20 (((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1)) <=> ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10437,plain,
% 41.53/27.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))))),
% 41.53/27.20 inference(monotonicity,[status(thm)],[10436])).
% 41.53/27.20 tff(10438,plain,
% 41.53/27.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 41.53/27.20 inference(transitivity,[status(thm)],[10437, 10435])).
% 41.53/27.20 tff(10439,plain,
% 41.53/27.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10440,plain,
% 41.53/27.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10439, 10438])).
% 41.53/27.20 tff(10441,plain,
% 41.53/27.20 ((~v90(constB82, bitIndex1)) | (~v100(constB82))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10440, 868, 10434])).
% 41.53/27.20 tff(10442,plain,
% 41.53/27.20 (~v90(constB82, bitIndex1)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10441, 10368])).
% 41.53/27.20 tff(10443,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10444,plain,
% 41.53/27.20 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))) <=> (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10445,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))))),
% 41.53/27.20 inference(monotonicity,[status(thm)],[10444])).
% 41.53/27.20 tff(10446,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 41.53/27.20 inference(transitivity,[status(thm)],[10445, 10443])).
% 41.53/27.20 tff(10447,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10448,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10447, 10446])).
% 41.53/27.20 tff(10449,plain,
% 41.53/27.20 (v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10448, 444, 10396])).
% 41.53/27.20 tff(10450,plain,
% 41.53/27.20 (v90(constB82, bitIndex1) | (~v90(constB83, bitIndex1))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10449, 10408])).
% 41.53/27.20 tff(10451,plain,
% 41.53/27.20 (~v90(constB83, bitIndex1)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10450, 10442])).
% 41.53/27.20 tff(10452,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB81)) | (~v130(constB81, bitIndex0)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10453,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex0)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10454,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB81)) | (~v130(constB81, bitIndex0))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 41.53/27.20 tff(10455,plain,
% 41.53/27.20 (~v130(constB81, bitIndex0)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10454, 2327, 10284])).
% 41.53/27.20 tff(10456,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10457,plain,
% 41.53/27.20 ((v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0))) <=> ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10458,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0)))),
% 41.53/27.20 inference(monotonicity,[status(thm)],[10457])).
% 41.53/27.20 tff(10459,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 41.53/27.20 inference(transitivity,[status(thm)],[10458, 10456])).
% 41.53/27.20 tff(10460,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10461,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0)),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10460, 10459])).
% 41.53/27.20 tff(10462,plain,
% 41.53/27.20 ((~v127(constB81, bitIndex0)) | v130(constB81, bitIndex0)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10461, 907, 10310])).
% 41.53/27.20 tff(10463,plain,
% 41.53/27.20 (~v127(constB81, bitIndex0)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10462, 10455])).
% 41.53/27.20 tff(10464,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10465,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10466,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 41.53/27.20 tff(10467,plain,
% 41.53/27.20 (v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10466, 937, 10328])).
% 41.53/27.20 tff(10468,plain,
% 41.53/27.20 (~v129(constB82, bitIndex0)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10467, 10463])).
% 41.53/27.20 tff(10469,plain,
% 41.53/27.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10470,plain,
% 41.53/27.20 (((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10471,plain,
% 41.53/27.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82))))),
% 41.53/27.20 inference(monotonicity,[status(thm)],[10470])).
% 41.53/27.20 tff(10472,plain,
% 41.53/27.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 41.53/27.20 inference(transitivity,[status(thm)],[10471, 10469])).
% 41.53/27.20 tff(10473,plain,
% 41.53/27.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10474,plain,
% 41.53/27.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10473, 10472])).
% 41.53/27.20 tff(10475,plain,
% 41.53/27.20 ((~v90(constB82, bitIndex0)) | (~v100(constB82))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10474, 952, 10468])).
% 41.53/27.20 tff(10476,plain,
% 41.53/27.20 (~v90(constB82, bitIndex0)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10475, 10368])).
% 41.53/27.20 tff(10477,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10478,plain,
% 41.53/27.20 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10479,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0))))),
% 41.53/27.20 inference(monotonicity,[status(thm)],[10478])).
% 41.53/27.20 tff(10480,plain,
% 41.53/27.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 41.53/27.20 inference(transitivity,[status(thm)],[10479, 10477])).
% 41.53/27.20 tff(10481,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10482,plain,
% 41.53/27.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0))),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10481, 10480])).
% 41.53/27.20 tff(10483,plain,
% 41.53/27.20 (v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10482, 465, 10396])).
% 41.53/27.20 tff(10484,plain,
% 41.53/27.20 (v90(constB82, bitIndex0) | (~v90(constB83, bitIndex0))),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10483, 10408])).
% 41.53/27.20 tff(10485,plain,
% 41.53/27.20 (~v90(constB83, bitIndex0)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10484, 10476])).
% 41.53/27.20 tff(10486,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10487,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10488,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83)),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 41.53/27.20 tff(10489,plain,
% 41.53/27.20 (v123(constB83)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10488, 979, 10485, 10451, 10417])).
% 41.53/27.20 tff(10490,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB83)) | v115(constB83))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB83)) | v115(constB83))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10491,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB83)) | v115(constB83))),
% 41.53/27.20 inference(quant_inst,[status(thm)],[])).
% 41.53/27.20 tff(10492,plain,
% 41.53/27.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB83)) | v115(constB83)),
% 41.53/27.20 inference(modus_ponens,[status(thm)],[10491, 10490])).
% 41.53/27.20 tff(10493,plain,
% 41.53/27.20 (v115(constB83)),
% 41.53/27.20 inference(unit_resolution,[status(thm)],[10492, 990, 10489])).
% 41.53/27.20 tff(10494,plain,
% 41.53/27.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB83) | (~v115(constB83)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB83) | (~v115(constB83)))),
% 41.53/27.20 inference(rewrite,[status(thm)],[])).
% 41.53/27.20 tff(10495,plain,
% 41.53/27.20 (((~v115(constB83)) | v114(constB83)) <=> (v114(constB83) | (~v115(constB83)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10496,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB83) | (~v115(constB83))))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10495])).
% 41.53/27.21 tff(10497,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB83) | (~v115(constB83)))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10496, 10494])).
% 41.53/27.21 tff(10498,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB83)) | v114(constB83))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10499,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB83) | (~v115(constB83))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10498, 10497])).
% 41.53/27.21 tff(10500,plain,
% 41.53/27.21 (v114(constB83)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10499, 553, 10493])).
% 41.53/27.21 tff(10501,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10502,plain,
% 41.53/27.21 (((~v114(constB83)) | v113(constB83)) <=> (v113(constB83) | (~v114(constB83)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10503,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83))))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10502])).
% 41.53/27.21 tff(10504,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10503, 10501])).
% 41.53/27.21 tff(10505,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10506,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 41.53/27.21 tff(10507,plain,
% 41.53/27.21 (v113(constB83)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10506, 567, 10500])).
% 41.53/27.21 tff(10508,assumption,(v26(constB83)), introduced(assumption)).
% 41.53/27.21 tff(10509,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10510,plain,
% 41.53/27.21 ($false),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10509, 95, 10508])).
% 41.53/27.21 tff(10511,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 41.53/27.21 tff(10512,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10513,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10514,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | (~v113(constB83)) | v112(constB83)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 41.53/27.21 tff(10515,plain,
% 41.53/27.21 ((~v113(constB83)) | v112(constB83)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10514, 581, 10511])).
% 41.53/27.21 tff(10516,plain,
% 41.53/27.21 (v112(constB83)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10515, 10507])).
% 41.53/27.21 tff(10517,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10518,plain,
% 41.53/27.21 (((~v112(constB83)) | v108(constB83)) <=> (v108(constB83) | (~v112(constB83)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10519,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83))))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10518])).
% 41.53/27.21 tff(10520,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10519, 10517])).
% 41.53/27.21 tff(10521,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10522,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10521, 10520])).
% 41.53/27.21 tff(10523,plain,
% 41.53/27.21 (v108(constB83)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10522, 746, 10516])).
% 41.53/27.21 tff(10524,plain,
% 41.53/27.21 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10525,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 41.53/27.21 tff(10526,plain,
% 41.53/27.21 (nextState(constB83, constB84)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10525, 10524])).
% 41.53/27.21 tff(10527,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10528,plain,
% 41.53/27.21 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10529,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10528])).
% 41.53/27.21 tff(10530,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10529, 10527])).
% 41.53/27.21 tff(10531,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10532,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10531, 10530])).
% 41.53/27.21 tff(10533,plain,
% 41.53/27.21 (v110(constB84) | (~v108(constB83))),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10532, 731, 10526])).
% 41.53/27.21 tff(10534,plain,
% 41.53/27.21 (v110(constB84)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10533, 10523])).
% 41.53/27.21 tff(10535,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10536,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10537,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10536, 10535])).
% 41.53/27.21 tff(10538,plain,
% 41.53/27.21 (~v104(constB84)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10537, 659, 10526, 10393])).
% 41.53/27.21 tff(10539,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10540,plain,
% 41.53/27.21 (((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)) <=> ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10541,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84)))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10540])).
% 41.53/27.21 tff(10542,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10541, 10539])).
% 41.53/27.21 tff(10543,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10544,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 41.53/27.21 tff(10545,plain,
% 41.53/27.21 (v104(constB84) | v102(constB84)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10544, 673, 10526])).
% 41.53/27.21 tff(10546,plain,
% 41.53/27.21 (v102(constB84)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10545, 10538])).
% 41.53/27.21 tff(10547,plain,
% 41.53/27.21 (v1(constB84) <=> v1(constB84)),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10548,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 41.53/27.21 tff(10549,plain,
% 41.53/27.21 (v1(constB84)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10548, 10547])).
% 41.53/27.21 tff(10550,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10551,plain,
% 41.53/27.21 (((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))) <=> ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10552,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84))))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10551])).
% 41.53/27.21 tff(10553,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10552, 10550])).
% 41.53/27.21 tff(10554,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10555,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 41.53/27.21 tff(10556,plain,
% 41.53/27.21 (v101(constB84) | (~v102(constB84))),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10555, 694, 10526, 10549])).
% 41.53/27.21 tff(10557,plain,
% 41.53/27.21 (v101(constB84)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10556, 10546])).
% 41.53/27.21 tff(10558,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10559,plain,
% 41.53/27.21 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10560,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10559])).
% 41.53/27.21 tff(10561,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10560, 10558])).
% 41.53/27.21 tff(10562,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10563,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 41.53/27.21 tff(10564,plain,
% 41.53/27.21 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10563, 712, 10526])).
% 41.53/27.21 tff(10565,plain,
% 41.53/27.21 (v100(constB84) | (~v110(constB84))),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10564, 10557])).
% 41.53/27.21 tff(10566,plain,
% 41.53/27.21 (v100(constB84)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10565, 10534])).
% 41.53/27.21 tff(10567,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB83)) | v130(constB83, bitIndex2))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10568,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB83)) | v130(constB83, bitIndex2))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10569,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB83)) | v130(constB83, bitIndex2)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10568, 10567])).
% 41.53/27.21 tff(10570,plain,
% 41.53/27.21 (v130(constB83, bitIndex2)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10569, 1074, 10489])).
% 41.53/27.21 tff(10571,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10572,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10573,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10572, 10571])).
% 41.53/27.21 tff(10574,plain,
% 41.53/27.21 ((~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10573, 607, 10511])).
% 41.53/27.21 tff(10575,plain,
% 41.53/27.21 (v127(constB83, bitIndex2)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10574, 10570])).
% 41.53/27.21 tff(10576,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10577,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10578,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10577, 10576])).
% 41.53/27.21 tff(10579,plain,
% 41.53/27.21 ((~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10578, 625, 10526])).
% 41.53/27.21 tff(10580,plain,
% 41.53/27.21 (v129(constB84, bitIndex2)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10579, 10575])).
% 41.53/27.21 tff(10581,plain,
% 41.53/27.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10582,plain,
% 41.53/27.21 ((v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2))) <=> (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10583,plain,
% 41.53/27.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10582])).
% 41.53/27.21 tff(10584,plain,
% 41.53/27.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10583, 10581])).
% 41.53/27.21 tff(10585,plain,
% 41.53/27.21 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10586,plain,
% 41.53/27.21 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10585, 10584])).
% 41.53/27.21 tff(10587,plain,
% 41.53/27.21 (v90(constB84, bitIndex2) | (~v100(constB84))),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10586, 641, 10580])).
% 41.53/27.21 tff(10588,plain,
% 41.53/27.21 (v90(constB84, bitIndex2)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10587, 10566])).
% 41.53/27.21 tff(10589,plain,
% 41.53/27.21 ((~v1(constB85)) <=> (~v1(constB85))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10590,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 41.53/27.21 tff(10591,plain,
% 41.53/27.21 (~v1(constB85)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10590, 10589])).
% 41.53/27.21 tff(10592,plain,
% 41.53/27.21 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10593,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 41.53/27.21 tff(10594,plain,
% 41.53/27.21 (nextState(constB84, constB85)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10593, 10592])).
% 41.53/27.21 tff(10595,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10596,plain,
% 41.53/27.21 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10597,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10596])).
% 41.53/27.21 tff(10598,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10597, 10595])).
% 41.53/27.21 tff(10599,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10600,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10599, 10598])).
% 41.53/27.21 tff(10601,plain,
% 41.53/27.21 (~v101(constB85)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10600, 391, 10594, 10591])).
% 41.53/27.21 tff(10602,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10603,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10604,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10603, 10602])).
% 41.53/27.21 tff(10605,plain,
% 41.53/27.21 (v101(constB85) | (~v100(constB85))),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10604, 408, 10594])).
% 41.53/27.21 tff(10606,plain,
% 41.53/27.21 (~v100(constB85)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10605, 10601])).
% 41.53/27.21 tff(10607,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10608,plain,
% 41.53/27.21 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)) <=> ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10609,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10608])).
% 41.53/27.21 tff(10610,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10609, 10607])).
% 41.53/27.21 tff(10611,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10612,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10611, 10610])).
% 41.53/27.21 tff(10613,plain,
% 41.53/27.21 ((~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10612, 783, 10594])).
% 41.53/27.21 tff(10614,plain,
% 41.53/27.21 ((~v90(constB84, bitIndex2)) | v90(constB85, bitIndex2)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10613, 10606])).
% 41.53/27.21 tff(10615,plain,
% 41.53/27.21 (v90(constB85, bitIndex2)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10614, 10588])).
% 41.53/27.21 tff(10616,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB83)) | v130(constB83, bitIndex1))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10617,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB83)) | v130(constB83, bitIndex1))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10618,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB83)) | v130(constB83, bitIndex1)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 41.53/27.21 tff(10619,plain,
% 41.53/27.21 (v130(constB83, bitIndex1)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10618, 1130, 10489])).
% 41.53/27.21 tff(10620,plain,
% 41.53/27.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10621,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10622,plain,
% 41.53/27.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10621, 10620])).
% 41.53/27.21 tff(10623,plain,
% 41.53/27.21 ((~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10622, 1144, 10511])).
% 41.53/27.21 tff(10624,plain,
% 41.53/27.21 (v127(constB83, bitIndex1)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10623, 10619])).
% 41.53/27.21 tff(10625,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10626,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10627,plain,
% 41.53/27.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 41.53/27.21 tff(10628,plain,
% 41.53/27.21 ((~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10627, 1159, 10526])).
% 41.53/27.21 tff(10629,plain,
% 41.53/27.21 (v129(constB84, bitIndex1)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10628, 10624])).
% 41.53/27.21 tff(10630,plain,
% 41.53/27.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10631,plain,
% 41.53/27.21 ((v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10632,plain,
% 41.53/27.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))))),
% 41.53/27.21 inference(monotonicity,[status(thm)],[10631])).
% 41.53/27.21 tff(10633,plain,
% 41.53/27.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 41.53/27.21 inference(transitivity,[status(thm)],[10632, 10630])).
% 41.53/27.21 tff(10634,plain,
% 41.53/27.21 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))),
% 41.53/27.21 inference(quant_inst,[status(thm)],[])).
% 41.53/27.21 tff(10635,plain,
% 41.53/27.21 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))),
% 41.53/27.21 inference(modus_ponens,[status(thm)],[10634, 10633])).
% 41.53/27.21 tff(10636,plain,
% 41.53/27.21 (v90(constB84, bitIndex1) | (~v100(constB84))),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10635, 1174, 10629])).
% 41.53/27.21 tff(10637,plain,
% 41.53/27.21 (v90(constB84, bitIndex1)),
% 41.53/27.21 inference(unit_resolution,[status(thm)],[10636, 10566])).
% 41.53/27.21 tff(10638,plain,
% 41.53/27.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 41.53/27.21 inference(rewrite,[status(thm)],[])).
% 41.53/27.21 tff(10639,plain,
% 41.53/27.21 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 41.53/27.22 inference(rewrite,[status(thm)],[])).
% 41.53/27.22 tff(10640,plain,
% 41.53/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)))),
% 41.53/27.22 inference(monotonicity,[status(thm)],[10639])).
% 41.53/27.22 tff(10641,plain,
% 41.53/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 41.53/27.22 inference(transitivity,[status(thm)],[10640, 10638])).
% 41.53/27.22 tff(10642,plain,
% 41.53/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))),
% 41.53/27.22 inference(quant_inst,[status(thm)],[])).
% 41.53/27.22 tff(10643,plain,
% 41.53/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)),
% 41.53/27.22 inference(modus_ponens,[status(thm)],[10642, 10641])).
% 41.53/27.22 tff(10644,plain,
% 41.53/27.22 ((~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)),
% 41.53/27.22 inference(unit_resolution,[status(thm)],[10643, 1192, 10594])).
% 41.53/27.22 tff(10645,plain,
% 41.53/27.22 ((~v90(constB84, bitIndex1)) | v90(constB85, bitIndex1)),
% 41.53/27.22 inference(unit_resolution,[status(thm)],[10644, 10606])).
% 41.53/27.22 tff(10646,plain,
% 41.53/27.22 (v90(constB85, bitIndex1)),
% 41.53/27.22 inference(unit_resolution,[status(thm)],[10645, 10637])).
% 41.53/27.22 tff(10647,plain,
% 41.53/27.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB83)) | (~v130(constB83, bitIndex0)))),
% 41.53/27.22 inference(rewrite,[status(thm)],[])).
% 41.53/27.22 tff(10648,plain,
% 41.53/27.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB83)) | (~v130(constB83, bitIndex0)))),
% 41.53/27.22 inference(quant_inst,[status(thm)],[])).
% 41.53/27.22 tff(10649,plain,
% 41.53/27.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB83)) | (~v130(constB83, bitIndex0))),
% 41.53/27.22 inference(modus_ponens,[status(thm)],[10648, 10647])).
% 41.53/27.22 tff(10650,plain,
% 41.53/27.22 (~v130(constB83, bitIndex0)),
% 41.53/27.22 inference(unit_resolution,[status(thm)],[10649, 1208, 10489])).
% 41.53/27.22 tff(10651,plain,
% 41.53/27.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 41.53/27.22 inference(rewrite,[status(thm)],[])).
% 41.53/27.22 tff(10652,plain,
% 41.53/27.22 ((v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0))) <=> ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 41.53/27.22 inference(rewrite,[status(thm)],[])).
% 41.53/27.22 tff(10653,plain,
% 41.53/27.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)))),
% 41.53/27.22 inference(monotonicity,[status(thm)],[10652])).
% 41.53/27.22 tff(10654,plain,
% 41.53/27.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 41.53/27.22 inference(transitivity,[status(thm)],[10653, 10651])).
% 41.53/27.22 tff(10655,plain,
% 41.53/27.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))),
% 41.53/27.22 inference(quant_inst,[status(thm)],[])).
% 41.53/27.22 tff(10656,plain,
% 41.53/27.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)),
% 41.53/27.22 inference(modus_ponens,[status(thm)],[10655, 10654])).
% 41.53/27.22 tff(10657,plain,
% 41.53/27.22 ((~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 41.53/27.22 inference(unit_resolution,[status(thm)],[10656, 907, 10511])).
% 41.53/27.22 tff(10658,plain,
% 41.53/27.22 (~v127(constB83, bitIndex0)),
% 41.53/27.22 inference(unit_resolution,[status(thm)],[10657, 10650])).
% 41.53/27.22 tff(10659,plain,
% 41.53/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 41.53/27.22 inference(rewrite,[status(thm)],[])).
% 41.53/27.22 tff(10660,plain,
% 41.53/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 41.53/27.22 inference(quant_inst,[status(thm)],[])).
% 41.53/27.22 tff(10661,plain,
% 41.53/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 41.53/27.22 inference(modus_ponens,[status(thm)],[10660, 10659])).
% 41.53/27.22 tff(10662,plain,
% 41.53/27.22 (v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 41.53/27.22 inference(unit_resolution,[status(thm)],[10661, 937, 10526])).
% 41.53/27.22 tff(10663,plain,
% 41.53/27.22 (~v129(constB84, bitIndex0)),
% 41.53/27.22 inference(unit_resolution,[status(thm)],[10662, 10658])).
% 41.53/27.22 tff(10664,plain,
% 41.53/27.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 41.53/27.22 inference(rewrite,[status(thm)],[])).
% 41.53/27.22 tff(10665,plain,
% 41.53/27.22 (((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 41.53/27.22 inference(rewrite,[status(thm)],[])).
% 41.53/27.22 tff(10666,plain,
% 41.53/27.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))))),
% 41.62/27.22 inference(monotonicity,[status(thm)],[10665])).
% 41.62/27.22 tff(10667,plain,
% 41.62/27.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 41.62/27.22 inference(transitivity,[status(thm)],[10666, 10664])).
% 41.62/27.22 tff(10668,plain,
% 41.62/27.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10669,plain,
% 41.62/27.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 41.62/27.22 tff(10670,plain,
% 41.62/27.22 ((~v90(constB84, bitIndex0)) | (~v100(constB84))),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10669, 952, 10663])).
% 41.62/27.22 tff(10671,plain,
% 41.62/27.22 (~v90(constB84, bitIndex0)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10670, 10566])).
% 41.62/27.22 tff(10672,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10673,plain,
% 41.62/27.22 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10674,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))))),
% 41.62/27.22 inference(monotonicity,[status(thm)],[10673])).
% 41.62/27.22 tff(10675,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 41.62/27.22 inference(transitivity,[status(thm)],[10674, 10672])).
% 41.62/27.22 tff(10676,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10677,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10676, 10675])).
% 41.62/27.22 tff(10678,plain,
% 41.62/27.22 (v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10677, 465, 10594])).
% 41.62/27.22 tff(10679,plain,
% 41.62/27.22 (v90(constB84, bitIndex0) | (~v90(constB85, bitIndex0))),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10678, 10606])).
% 41.62/27.22 tff(10680,plain,
% 41.62/27.22 (~v90(constB85, bitIndex0)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10679, 10671])).
% 41.62/27.22 tff(10681,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10682,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10683,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10682, 10681])).
% 41.62/27.22 tff(10684,plain,
% 41.62/27.22 (v125(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10683, 1252, 10680, 10646, 10615])).
% 41.62/27.22 tff(10685,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB85)) | v113(constB85))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10686,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10687,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB85)) | v113(constB85)),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10686, 10685])).
% 41.62/27.22 tff(10688,plain,
% 41.62/27.22 (v113(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10687, 1263, 10684])).
% 41.62/27.22 tff(10689,assumption,(v26(constB85)), introduced(assumption)).
% 41.62/27.22 tff(10690,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10691,plain,
% 41.62/27.22 ($false),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10690, 95, 10689])).
% 41.62/27.22 tff(10692,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.22 tff(10693,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10694,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10695,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | (~v113(constB85)) | v112(constB85)),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10694, 10693])).
% 41.62/27.22 tff(10696,plain,
% 41.62/27.22 ((~v113(constB85)) | v112(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10695, 581, 10692])).
% 41.62/27.22 tff(10697,plain,
% 41.62/27.22 (v112(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10696, 10688])).
% 41.62/27.22 tff(10698,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10699,plain,
% 41.62/27.22 (((~v112(constB85)) | v108(constB85)) <=> (v108(constB85) | (~v112(constB85)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10700,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85))))),
% 41.62/27.22 inference(monotonicity,[status(thm)],[10699])).
% 41.62/27.22 tff(10701,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 41.62/27.22 inference(transitivity,[status(thm)],[10700, 10698])).
% 41.62/27.22 tff(10702,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10703,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10702, 10701])).
% 41.62/27.22 tff(10704,plain,
% 41.62/27.22 (v108(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10703, 746, 10697])).
% 41.62/27.22 tff(10705,plain,
% 41.62/27.22 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10706,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 41.62/27.22 tff(10707,plain,
% 41.62/27.22 (nextState(constB85, constB86)),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 41.62/27.22 tff(10708,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10709,plain,
% 41.62/27.22 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10710,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 41.62/27.22 inference(monotonicity,[status(thm)],[10709])).
% 41.62/27.22 tff(10711,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 41.62/27.22 inference(transitivity,[status(thm)],[10710, 10708])).
% 41.62/27.22 tff(10712,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10713,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10712, 10711])).
% 41.62/27.22 tff(10714,plain,
% 41.62/27.22 (v110(constB86) | (~v108(constB85))),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10713, 731, 10707])).
% 41.62/27.22 tff(10715,plain,
% 41.62/27.22 (v110(constB86)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10714, 10704])).
% 41.62/27.22 tff(10716,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10717,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10718,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 41.62/27.22 tff(10719,plain,
% 41.62/27.22 (~v104(constB86)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10718, 659, 10707, 10591])).
% 41.62/27.22 tff(10720,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10721,plain,
% 41.62/27.22 (((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)) <=> ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10722,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86)))),
% 41.62/27.22 inference(monotonicity,[status(thm)],[10721])).
% 41.62/27.22 tff(10723,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 41.62/27.22 inference(transitivity,[status(thm)],[10722, 10720])).
% 41.62/27.22 tff(10724,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10725,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86)),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 41.62/27.22 tff(10726,plain,
% 41.62/27.22 (v104(constB86) | v102(constB86)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10725, 673, 10707])).
% 41.62/27.22 tff(10727,plain,
% 41.62/27.22 (v102(constB86)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10726, 10719])).
% 41.62/27.22 tff(10728,plain,
% 41.62/27.22 (v1(constB86) <=> v1(constB86)),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10729,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 41.62/27.22 tff(10730,plain,
% 41.62/27.22 (v1(constB86)),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 41.62/27.22 tff(10731,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10732,plain,
% 41.62/27.22 (((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))) <=> ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10733,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86))))),
% 41.62/27.22 inference(monotonicity,[status(thm)],[10732])).
% 41.62/27.22 tff(10734,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 41.62/27.22 inference(transitivity,[status(thm)],[10733, 10731])).
% 41.62/27.22 tff(10735,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10736,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10735, 10734])).
% 41.62/27.22 tff(10737,plain,
% 41.62/27.22 (v101(constB86) | (~v102(constB86))),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10736, 694, 10707, 10730])).
% 41.62/27.22 tff(10738,plain,
% 41.62/27.22 (v101(constB86)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10737, 10727])).
% 41.62/27.22 tff(10739,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10740,plain,
% 41.62/27.22 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10741,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 41.62/27.22 inference(monotonicity,[status(thm)],[10740])).
% 41.62/27.22 tff(10742,plain,
% 41.62/27.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 41.62/27.22 inference(transitivity,[status(thm)],[10741, 10739])).
% 41.62/27.22 tff(10743,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10744,plain,
% 41.62/27.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10743, 10742])).
% 41.62/27.22 tff(10745,plain,
% 41.62/27.22 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10744, 712, 10707])).
% 41.62/27.22 tff(10746,plain,
% 41.62/27.22 (v100(constB86) | (~v110(constB86))),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10745, 10738])).
% 41.62/27.22 tff(10747,plain,
% 41.62/27.22 (v100(constB86)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10746, 10715])).
% 41.62/27.22 tff(10748,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB85)) | (~v90(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB85)) | (~v90(constB85, bitIndex2)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10749,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB85)) | (~v90(constB85, bitIndex2)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10750,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB85)) | (~v90(constB85, bitIndex2))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10749, 10748])).
% 41.62/27.22 tff(10751,plain,
% 41.62/27.22 (~v122(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10750, 1347, 10615])).
% 41.62/27.22 tff(10752,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10753,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10754,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 41.62/27.22 tff(10755,plain,
% 41.62/27.22 (~v119(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10754, 1380, 10646])).
% 41.62/27.22 tff(10756,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB85)) | (~v90(constB85, bitIndex1)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10757,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB85)) | (~v90(constB85, bitIndex1)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10758,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB85)) | (~v90(constB85, bitIndex1))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 41.62/27.22 tff(10759,plain,
% 41.62/27.22 (~v123(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10758, 1358, 10646])).
% 41.62/27.22 tff(10760,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB85)) | (~v90(constB85, bitIndex1)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10761,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB85)) | (~v90(constB85, bitIndex1)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10762,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB85)) | (~v90(constB85, bitIndex1))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10761, 10760])).
% 41.62/27.22 tff(10763,plain,
% 41.62/27.22 (~v124(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10762, 1369, 10646])).
% 41.62/27.22 tff(10764,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB85)) | (~v90(constB85, bitIndex1)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10765,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB85)) | (~v90(constB85, bitIndex1)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10766,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB85)) | (~v90(constB85, bitIndex1))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10765, 10764])).
% 41.62/27.22 tff(10767,plain,
% 41.62/27.22 (~v120(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10766, 1391, 10646])).
% 41.62/27.22 tff(10768,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB85)) | (~v90(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB85)) | (~v90(constB85, bitIndex2)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10769,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB85)) | (~v90(constB85, bitIndex2)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10770,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB85)) | (~v90(constB85, bitIndex2))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10769, 10768])).
% 41.62/27.22 tff(10771,plain,
% 41.62/27.22 (~v121(constB85)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10770, 1336, 10615])).
% 41.62/27.22 tff(10772,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10773,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 41.62/27.22 inference(quant_inst,[status(thm)],[])).
% 41.62/27.22 tff(10774,plain,
% 41.62/27.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1))),
% 41.62/27.22 inference(modus_ponens,[status(thm)],[10773, 10772])).
% 41.62/27.22 tff(10775,plain,
% 41.62/27.22 (~v130(constB85, bitIndex1)),
% 41.62/27.22 inference(unit_resolution,[status(thm)],[10774, 1494, 10771, 10767, 10763, 10759, 10755, 10751])).
% 41.62/27.22 tff(10776,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10777,plain,
% 41.62/27.22 ((v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1))) <=> ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 41.62/27.22 inference(rewrite,[status(thm)],[])).
% 41.62/27.22 tff(10778,plain,
% 41.62/27.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10777])).
% 41.62/27.23 tff(10779,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 41.62/27.23 inference(transitivity,[status(thm)],[10778, 10776])).
% 41.62/27.23 tff(10780,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10781,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10780, 10779])).
% 41.62/27.23 tff(10782,plain,
% 41.62/27.23 ((~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10781, 823, 10692])).
% 41.62/27.23 tff(10783,plain,
% 41.62/27.23 (~v127(constB85, bitIndex1)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10782, 10775])).
% 41.62/27.23 tff(10784,plain,
% 41.62/27.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10785,plain,
% 41.62/27.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10786,plain,
% 41.62/27.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10785, 10784])).
% 41.62/27.23 tff(10787,plain,
% 41.62/27.23 (v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10786, 853, 10707])).
% 41.62/27.23 tff(10788,plain,
% 41.62/27.23 (~v129(constB86, bitIndex1)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10787, 10783])).
% 41.62/27.23 tff(10789,plain,
% 41.62/27.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10790,plain,
% 41.62/27.23 (((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1)) <=> ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10791,plain,
% 41.62/27.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10790])).
% 41.62/27.23 tff(10792,plain,
% 41.62/27.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 41.62/27.23 inference(transitivity,[status(thm)],[10791, 10789])).
% 41.62/27.23 tff(10793,plain,
% 41.62/27.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10794,plain,
% 41.62/27.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10793, 10792])).
% 41.62/27.23 tff(10795,plain,
% 41.62/27.23 ((~v90(constB86, bitIndex1)) | (~v100(constB86))),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10794, 868, 10788])).
% 41.62/27.23 tff(10796,plain,
% 41.62/27.23 (~v90(constB86, bitIndex1)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10795, 10747])).
% 41.62/27.23 tff(10797,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10798,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10799,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2))),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 41.62/27.23 tff(10800,plain,
% 41.62/27.23 (~v130(constB85, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10799, 1405, 10771, 10767, 10763, 10759, 10755, 10751])).
% 41.62/27.23 tff(10801,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10802,plain,
% 41.62/27.23 ((v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2))) <=> ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10803,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10802])).
% 41.62/27.23 tff(10804,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 41.62/27.23 inference(transitivity,[status(thm)],[10803, 10801])).
% 41.62/27.23 tff(10805,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10806,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10805, 10804])).
% 41.62/27.23 tff(10807,plain,
% 41.62/27.23 ((~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10806, 1419, 10692])).
% 41.62/27.23 tff(10808,plain,
% 41.62/27.23 (~v127(constB85, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10807, 10800])).
% 41.62/27.23 tff(10809,plain,
% 41.62/27.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10810,plain,
% 41.62/27.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10811,plain,
% 41.62/27.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10810, 10809])).
% 41.62/27.23 tff(10812,plain,
% 41.62/27.23 (v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10811, 1437, 10707])).
% 41.62/27.23 tff(10813,plain,
% 41.62/27.23 (~v129(constB86, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10812, 10808])).
% 41.62/27.23 tff(10814,plain,
% 41.62/27.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10815,plain,
% 41.62/27.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10816,plain,
% 41.62/27.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 41.62/27.23 tff(10817,plain,
% 41.62/27.23 ((~v90(constB86, bitIndex2)) | (~v100(constB86))),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10816, 1452, 10813])).
% 41.62/27.23 tff(10818,plain,
% 41.62/27.23 (~v90(constB86, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10817, 10747])).
% 41.62/27.23 tff(10819,assumption,(~v90(constB86, bitIndex1)), introduced(assumption)).
% 41.62/27.23 tff(10820,assumption,(~v90(constB86, bitIndex2)), introduced(assumption)).
% 41.62/27.23 tff(10821,assumption,(~v90(constB86, bitIndex0)), introduced(assumption)).
% 41.62/27.23 tff(10822,assumption,(~v90(constB85, bitIndex0)), introduced(assumption)).
% 41.62/27.23 tff(10823,assumption,(~v90(constB85, bitIndex1)), introduced(assumption)).
% 41.62/27.23 tff(10824,assumption,(~v130(constB85, bitIndex2)), introduced(assumption)).
% 41.62/27.23 tff(10825,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB85)) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB85)) | v130(constB85, bitIndex2))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10826,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB85)) | v130(constB85, bitIndex2))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10827,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB85)) | v130(constB85, bitIndex2)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10826, 10825])).
% 41.62/27.23 tff(10828,plain,
% 41.62/27.23 (~v119(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10827, 593, 10824])).
% 41.62/27.23 tff(10829,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB85)) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB85)) | v130(constB85, bitIndex2))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10830,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB85)) | v130(constB85, bitIndex2))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10831,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB85)) | v130(constB85, bitIndex2)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10830, 10829])).
% 41.62/27.23 tff(10832,plain,
% 41.62/27.23 (~v123(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10831, 1074, 10824])).
% 41.62/27.23 tff(10833,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | v123(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | v123(constB85))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10834,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | v123(constB85))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10835,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | v123(constB85)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10834, 10833])).
% 41.62/27.23 tff(10836,plain,
% 41.62/27.23 (v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | v123(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10835, 979, 10822])).
% 41.62/27.23 tff(10837,plain,
% 41.62/27.23 (~v90(constB85, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10836, 10832, 10823])).
% 41.62/27.23 tff(10838,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | v119(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | v119(constB85))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10839,plain,
% 41.62/27.23 ((v90(constB85, bitIndex0) | v119(constB85) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)) <=> (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | v119(constB85))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10840,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB85, bitIndex0) | v119(constB85) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | v119(constB85)))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10839])).
% 41.62/27.23 tff(10841,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB85, bitIndex0) | v119(constB85) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | v119(constB85))),
% 41.62/27.23 inference(transitivity,[status(thm)],[10840, 10838])).
% 41.62/27.23 tff(10842,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB85, bitIndex0) | v119(constB85) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10843,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | v119(constB85)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10842, 10841])).
% 41.62/27.23 tff(10844,plain,
% 41.62/27.23 (v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | v119(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10843, 486, 10822])).
% 41.62/27.23 tff(10845,plain,
% 41.62/27.23 ($false),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10844, 10837, 10828, 10823])).
% 41.62/27.23 tff(10846,plain,(v130(constB85, bitIndex2) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.23 tff(10847,plain,
% 41.62/27.23 (v130(constB85, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10846, 10823, 10822])).
% 41.62/27.23 tff(10848,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB85) | (~v130(constB85, bitIndex2)) | v127(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB85) | (~v130(constB85, bitIndex2)) | v127(constB85, bitIndex2))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10849,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB85) | (~v130(constB85, bitIndex2)) | v127(constB85, bitIndex2))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10850,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB85) | (~v130(constB85, bitIndex2)) | v127(constB85, bitIndex2)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10849, 10848])).
% 41.62/27.23 tff(10851,plain,
% 41.62/27.23 ((~v130(constB85, bitIndex2)) | v127(constB85, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10850, 607, 10692])).
% 41.62/27.23 tff(10852,plain,
% 41.62/27.23 (v127(constB85, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10851, 10847])).
% 41.62/27.23 tff(10853,plain,
% 41.62/27.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex2)) | v129(constB86, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex2)) | v129(constB86, bitIndex2))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10854,plain,
% 41.62/27.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex2)) | v129(constB86, bitIndex2))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10855,plain,
% 41.62/27.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex2)) | v129(constB86, bitIndex2)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10854, 10853])).
% 41.62/27.23 tff(10856,plain,
% 41.62/27.23 ((~v127(constB85, bitIndex2)) | v129(constB86, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10855, 625, 10707])).
% 41.62/27.23 tff(10857,plain,
% 41.62/27.23 (v129(constB86, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10856, 10852])).
% 41.62/27.23 tff(10858,plain,
% 41.62/27.23 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~v129(constB86, bitIndex2)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~v129(constB86, bitIndex2)) | (~v100(constB86)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10859,plain,
% 41.62/27.23 ((v90(constB86, bitIndex2) | (~v100(constB86)) | (~v129(constB86, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~v129(constB86, bitIndex2)) | (~v100(constB86)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10860,plain,
% 41.62/27.23 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~v100(constB86)) | (~v129(constB86, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~v129(constB86, bitIndex2)) | (~v100(constB86))))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10859])).
% 41.62/27.23 tff(10861,plain,
% 41.62/27.23 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~v100(constB86)) | (~v129(constB86, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~v129(constB86, bitIndex2)) | (~v100(constB86)))),
% 41.62/27.23 inference(transitivity,[status(thm)],[10860, 10858])).
% 41.62/27.23 tff(10862,plain,
% 41.62/27.23 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~v100(constB86)) | (~v129(constB86, bitIndex2)))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10863,plain,
% 41.62/27.23 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~v129(constB86, bitIndex2)) | (~v100(constB86))),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10862, 10861])).
% 41.62/27.23 tff(10864,plain,
% 41.62/27.23 ((~v129(constB86, bitIndex2)) | (~v100(constB86))),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10863, 641, 10820])).
% 41.62/27.23 tff(10865,plain,
% 41.62/27.23 (~v100(constB86)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10864, 10857])).
% 41.62/27.23 tff(10866,plain,
% 41.62/27.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB85, bitIndex2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB85, bitIndex2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex2))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10867,plain,
% 41.62/27.23 (((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex2)) | v100(constB86) | v90(constB86, bitIndex2)) <=> ((~v90(constB85, bitIndex2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex2))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10868,plain,
% 41.62/27.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex2)) | v100(constB86) | v90(constB86, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB85, bitIndex2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex2)))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10867])).
% 41.62/27.23 tff(10869,plain,
% 41.62/27.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex2)) | v100(constB86) | v90(constB86, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB85, bitIndex2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex2))),
% 41.62/27.23 inference(transitivity,[status(thm)],[10868, 10866])).
% 41.62/27.23 tff(10870,plain,
% 41.62/27.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex2)) | v100(constB86) | v90(constB86, bitIndex2))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10871,plain,
% 41.62/27.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB85, bitIndex2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex2)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 41.62/27.23 tff(10872,plain,
% 41.62/27.23 ((~v90(constB85, bitIndex2)) | v100(constB86) | v90(constB86, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10871, 783, 10707])).
% 41.62/27.23 tff(10873,plain,
% 41.62/27.23 (~v90(constB85, bitIndex2)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10872, 10865, 10820])).
% 41.62/27.23 tff(10874,plain,
% 41.62/27.23 (v119(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10844, 10873, 10823])).
% 41.62/27.23 tff(10875,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB85) | (~v119(constB85)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB85) | (~v119(constB85)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10876,plain,
% 41.62/27.23 (((~v119(constB85)) | v118(constB85)) <=> (v118(constB85) | (~v119(constB85)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10877,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB85)) | v118(constB85))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB85) | (~v119(constB85))))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10876])).
% 41.62/27.23 tff(10878,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB85)) | v118(constB85))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB85) | (~v119(constB85)))),
% 41.62/27.23 inference(transitivity,[status(thm)],[10877, 10875])).
% 41.62/27.23 tff(10879,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB85)) | v118(constB85))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10880,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB85) | (~v119(constB85))),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10879, 10878])).
% 41.62/27.23 tff(10881,plain,
% 41.62/27.23 (v118(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10880, 500, 10874])).
% 41.62/27.23 tff(10882,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB85) | (~v118(constB85)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB85) | (~v118(constB85)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10883,plain,
% 41.62/27.23 (((~v118(constB85)) | v117(constB85)) <=> (v117(constB85) | (~v118(constB85)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10884,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB85)) | v117(constB85))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB85) | (~v118(constB85))))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10883])).
% 41.62/27.23 tff(10885,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB85)) | v117(constB85))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB85) | (~v118(constB85)))),
% 41.62/27.23 inference(transitivity,[status(thm)],[10884, 10882])).
% 41.62/27.23 tff(10886,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB85)) | v117(constB85))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10887,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB85) | (~v118(constB85))),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10886, 10885])).
% 41.62/27.23 tff(10888,plain,
% 41.62/27.23 (v117(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10887, 511, 10881])).
% 41.62/27.23 tff(10889,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB85) | (~v117(constB85)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB85) | (~v117(constB85)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10890,plain,
% 41.62/27.23 (((~v117(constB85)) | v116(constB85)) <=> (v116(constB85) | (~v117(constB85)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10891,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB85)) | v116(constB85))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB85) | (~v117(constB85))))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10890])).
% 41.62/27.23 tff(10892,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB85)) | v116(constB85))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB85) | (~v117(constB85)))),
% 41.62/27.23 inference(transitivity,[status(thm)],[10891, 10889])).
% 41.62/27.23 tff(10893,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB85)) | v116(constB85))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10894,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB85) | (~v117(constB85))),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10893, 10892])).
% 41.62/27.23 tff(10895,plain,
% 41.62/27.23 (v116(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10894, 525, 10888])).
% 41.62/27.23 tff(10896,plain,
% 41.62/27.23 (~v110(constB86)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10746, 10865])).
% 41.62/27.23 tff(10897,plain,
% 41.62/27.23 (~v108(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10714, 10896])).
% 41.62/27.23 tff(10898,plain,
% 41.62/27.23 (~v112(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10703, 746, 10897])).
% 41.62/27.23 tff(10899,plain,
% 41.62/27.23 (~v113(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10696, 10898])).
% 41.62/27.23 tff(10900,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB85)) | v113(constB85))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10901,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB85)) | v113(constB85))),
% 41.62/27.23 inference(quant_inst,[status(thm)],[])).
% 41.62/27.23 tff(10902,plain,
% 41.62/27.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB85)) | v113(constB85)),
% 41.62/27.23 inference(modus_ponens,[status(thm)],[10901, 10900])).
% 41.62/27.23 tff(10903,plain,
% 41.62/27.23 (~v114(constB85)),
% 41.62/27.23 inference(unit_resolution,[status(thm)],[10902, 567, 10899])).
% 41.62/27.23 tff(10904,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB85) | (~v115(constB85)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB85) | (~v115(constB85)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10905,plain,
% 41.62/27.23 (((~v115(constB85)) | v114(constB85)) <=> (v114(constB85) | (~v115(constB85)))),
% 41.62/27.23 inference(rewrite,[status(thm)],[])).
% 41.62/27.23 tff(10906,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB85)) | v114(constB85))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB85) | (~v115(constB85))))),
% 41.62/27.23 inference(monotonicity,[status(thm)],[10905])).
% 41.62/27.23 tff(10907,plain,
% 41.62/27.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB85)) | v114(constB85))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB85) | (~v115(constB85)))),
% 41.62/27.24 inference(transitivity,[status(thm)],[10906, 10904])).
% 41.62/27.24 tff(10908,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB85)) | v114(constB85))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10909,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB85) | (~v115(constB85))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10908, 10907])).
% 41.62/27.24 tff(10910,plain,
% 41.62/27.24 (~v115(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10909, 553, 10903])).
% 41.62/27.24 tff(10911,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB85) | (~v116(constB85)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB85) | (~v116(constB85)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10912,plain,
% 41.62/27.24 (((~v116(constB85)) | v115(constB85)) <=> (v115(constB85) | (~v116(constB85)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10913,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB85)) | v115(constB85))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB85) | (~v116(constB85))))),
% 41.62/27.24 inference(monotonicity,[status(thm)],[10912])).
% 41.62/27.24 tff(10914,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB85)) | v115(constB85))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB85) | (~v116(constB85)))),
% 41.62/27.24 inference(transitivity,[status(thm)],[10913, 10911])).
% 41.62/27.24 tff(10915,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB85)) | v115(constB85))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10916,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB85) | (~v116(constB85))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10915, 10914])).
% 41.62/27.24 tff(10917,plain,
% 41.62/27.24 ($false),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10916, 539, 10910, 10895])).
% 41.62/27.24 tff(10918,plain,(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | v90(constB86, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.24 tff(10919,plain,
% 41.62/27.24 (v90(constB85, bitIndex1)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10918, 10822, 10820])).
% 41.62/27.24 tff(10920,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex1))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10921,plain,
% 41.62/27.24 (((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex1)) | v100(constB86) | v90(constB86, bitIndex1)) <=> ((~v90(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex1))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10922,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex1)) | v100(constB86) | v90(constB86, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex1)))),
% 41.62/27.24 inference(monotonicity,[status(thm)],[10921])).
% 41.62/27.24 tff(10923,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex1)) | v100(constB86) | v90(constB86, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex1))),
% 41.62/27.24 inference(transitivity,[status(thm)],[10922, 10920])).
% 41.62/27.24 tff(10924,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex1)) | v100(constB86) | v90(constB86, bitIndex1))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10925,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex1)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10924, 10923])).
% 41.62/27.24 tff(10926,plain,
% 41.62/27.24 ((~v90(constB85, bitIndex1)) | v100(constB86) | v90(constB86, bitIndex1)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10925, 1192, 10707])).
% 41.62/27.24 tff(10927,plain,
% 41.62/27.24 (v100(constB86)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10926, 10919, 10819])).
% 41.62/27.24 tff(10928,plain,
% 41.62/27.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10929,plain,
% 41.62/27.24 ((v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10930,plain,
% 41.62/27.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))))),
% 41.62/27.24 inference(monotonicity,[status(thm)],[10929])).
% 41.62/27.24 tff(10931,plain,
% 41.62/27.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 41.62/27.24 inference(transitivity,[status(thm)],[10930, 10928])).
% 41.62/27.24 tff(10932,plain,
% 41.62/27.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10933,plain,
% 41.62/27.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 41.62/27.24 tff(10934,plain,
% 41.62/27.24 ((~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10933, 1582, 10821])).
% 41.62/27.24 tff(10935,plain,
% 41.62/27.24 (~v129(constB86, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10934, 10927])).
% 41.62/27.24 tff(10936,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10937,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10938,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10937, 10936])).
% 41.62/27.24 tff(10939,plain,
% 41.62/27.24 ((~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10938, 1567, 10707])).
% 41.62/27.24 tff(10940,plain,
% 41.62/27.24 (~v127(constB85, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10939, 10935])).
% 41.62/27.24 tff(10941,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10942,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10943,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10942, 10941])).
% 41.62/27.24 tff(10944,plain,
% 41.62/27.24 ((~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10943, 1552, 10692])).
% 41.62/27.24 tff(10945,plain,
% 41.62/27.24 (~v130(constB85, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10944, 10940])).
% 41.62/27.24 tff(10946,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB85)) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB85)) | v130(constB85, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10947,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB85)) | v130(constB85, bitIndex0))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10948,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB85)) | v130(constB85, bitIndex0)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 41.62/27.24 tff(10949,plain,
% 41.62/27.24 (~v121(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10948, 2088, 10945])).
% 41.62/27.24 tff(10950,plain,
% 41.62/27.24 (~v123(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10758, 1358, 10919])).
% 41.62/27.24 tff(10951,plain,
% 41.62/27.24 (~v119(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10754, 1380, 10919])).
% 41.62/27.24 tff(10952,plain,
% 41.62/27.24 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ((~v120(VarCurr)) | v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(bind,[status(th)],[])).
% 41.62/27.24 tff(10953,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(quant_intro,[status(thm)],[10952])).
% 41.62/27.24 tff(10954,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10955,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 41.62/27.24 tff(10956,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10955, 10954])).
% 41.62/27.24 tff(10957,plain,(
% 41.62/27.24 ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(skolemize,[status(sab)],[10956])).
% 41.62/27.24 tff(10958,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10957, 10953])).
% 41.62/27.24 tff(10959,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB85)) | v90(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB85)) | v90(constB85, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10960,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB85)) | v90(constB85, bitIndex0))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10961,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB85)) | v90(constB85, bitIndex0)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10960, 10959])).
% 41.62/27.24 tff(10962,plain,
% 41.62/27.24 (~v120(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10961, 10958, 10822])).
% 41.62/27.24 tff(10963,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB85)) | v90(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB85)) | v90(constB85, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10964,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB85)) | v90(constB85, bitIndex0))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10965,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB85)) | v90(constB85, bitIndex0)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10964, 10963])).
% 41.62/27.24 tff(10966,plain,
% 41.62/27.24 (~v122(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10965, 4538, 10822])).
% 41.62/27.24 tff(10967,plain,
% 41.62/27.24 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ((~v124(VarCurr)) | v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(bind,[status(th)],[])).
% 41.62/27.24 tff(10968,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(quant_intro,[status(thm)],[10967])).
% 41.62/27.24 tff(10969,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10970,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 41.62/27.24 tff(10971,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10970, 10969])).
% 41.62/27.24 tff(10972,plain,(
% 41.62/27.24 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(skolemize,[status(sab)],[10971])).
% 41.62/27.24 tff(10973,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10972, 10968])).
% 41.62/27.24 tff(10974,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB85)) | v90(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB85)) | v90(constB85, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10975,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB85)) | v90(constB85, bitIndex0))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10976,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB85)) | v90(constB85, bitIndex0)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10975, 10974])).
% 41.62/27.24 tff(10977,plain,
% 41.62/27.24 (~v124(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10976, 10973, 10822])).
% 41.62/27.24 tff(10978,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10979,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10980,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10979, 10978])).
% 41.62/27.24 tff(10981,plain,
% 41.62/27.24 (v119(constB85) | v121(constB85) | v123(constB85) | v130(constB85, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10980, 1538, 10977, 10966, 10962])).
% 41.62/27.24 tff(10982,plain,
% 41.62/27.24 ($false),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10981, 10951, 10950, 10949, 10945])).
% 41.62/27.24 tff(10983,plain,(v90(constB85, bitIndex0) | v90(constB86, bitIndex0) | v90(constB86, bitIndex1) | v90(constB86, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.24 tff(10984,plain,
% 41.62/27.24 (v90(constB85, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10983, 10819, 10821, 10820])).
% 41.62/27.24 tff(10985,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB85, bitIndex0)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB85, bitIndex0)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10986,plain,
% 41.62/27.24 (((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex0)) | v100(constB86) | v90(constB86, bitIndex0)) <=> ((~v90(constB85, bitIndex0)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10987,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex0)) | v100(constB86) | v90(constB86, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB85, bitIndex0)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex0)))),
% 41.62/27.24 inference(monotonicity,[status(thm)],[10986])).
% 41.62/27.24 tff(10988,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex0)) | v100(constB86) | v90(constB86, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB85, bitIndex0)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex0))),
% 41.62/27.24 inference(transitivity,[status(thm)],[10987, 10985])).
% 41.62/27.24 tff(10989,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v90(constB85, bitIndex0)) | v100(constB86) | v90(constB86, bitIndex0))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10990,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB85, bitIndex0)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, bitIndex0)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10989, 10988])).
% 41.62/27.24 tff(10991,plain,
% 41.62/27.24 ((~v90(constB85, bitIndex0)) | v100(constB86) | v90(constB86, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10990, 1600, 10707])).
% 41.62/27.24 tff(10992,plain,
% 41.62/27.24 (v100(constB86)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10991, 10984, 10821])).
% 41.62/27.24 tff(10993,plain,
% 41.62/27.24 (~v129(constB86, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10934, 10992])).
% 41.62/27.24 tff(10994,plain,
% 41.62/27.24 (~v127(constB85, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10939, 10993])).
% 41.62/27.24 tff(10995,plain,
% 41.62/27.24 (~v130(constB85, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10944, 10994])).
% 41.62/27.24 tff(10996,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB85)) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB85)) | v130(constB85, bitIndex0))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(10997,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB85)) | v130(constB85, bitIndex0))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(10998,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB85)) | v130(constB85, bitIndex0)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[10997, 10996])).
% 41.62/27.24 tff(10999,plain,
% 41.62/27.24 (~v124(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10998, 4083, 10995])).
% 41.62/27.24 tff(11000,plain,
% 41.62/27.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~v129(constB86, bitIndex1)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~v129(constB86, bitIndex1)) | (~v100(constB86)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11001,plain,
% 41.62/27.24 ((v90(constB86, bitIndex1) | (~v100(constB86)) | (~v129(constB86, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~v129(constB86, bitIndex1)) | (~v100(constB86)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11002,plain,
% 41.62/27.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~v100(constB86)) | (~v129(constB86, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~v129(constB86, bitIndex1)) | (~v100(constB86))))),
% 41.62/27.24 inference(monotonicity,[status(thm)],[11001])).
% 41.62/27.24 tff(11003,plain,
% 41.62/27.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~v100(constB86)) | (~v129(constB86, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~v129(constB86, bitIndex1)) | (~v100(constB86)))),
% 41.62/27.24 inference(transitivity,[status(thm)],[11002, 11000])).
% 41.62/27.24 tff(11004,plain,
% 41.62/27.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~v100(constB86)) | (~v129(constB86, bitIndex1)))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11005,plain,
% 41.62/27.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~v129(constB86, bitIndex1)) | (~v100(constB86))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11004, 11003])).
% 41.62/27.24 tff(11006,plain,
% 41.62/27.24 ((~v129(constB86, bitIndex1)) | (~v100(constB86))),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11005, 1174, 10819])).
% 41.62/27.24 tff(11007,plain,
% 41.62/27.24 (~v129(constB86, bitIndex1)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11006, 10992])).
% 41.62/27.24 tff(11008,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex1)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex1)) | v129(constB86, bitIndex1))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11009,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex1)) | v129(constB86, bitIndex1))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11010,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex1)) | v129(constB86, bitIndex1)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11009, 11008])).
% 41.62/27.24 tff(11011,plain,
% 41.62/27.24 ((~v127(constB85, bitIndex1)) | v129(constB86, bitIndex1)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11010, 1159, 10707])).
% 41.62/27.24 tff(11012,plain,
% 41.62/27.24 (~v127(constB85, bitIndex1)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11011, 11007])).
% 41.62/27.24 tff(11013,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB85) | (~v130(constB85, bitIndex1)) | v127(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB85) | (~v130(constB85, bitIndex1)) | v127(constB85, bitIndex1))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11014,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB85) | (~v130(constB85, bitIndex1)) | v127(constB85, bitIndex1))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11015,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB85) | (~v130(constB85, bitIndex1)) | v127(constB85, bitIndex1)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11014, 11013])).
% 41.62/27.24 tff(11016,plain,
% 41.62/27.24 ((~v130(constB85, bitIndex1)) | v127(constB85, bitIndex1)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11015, 1144, 10692])).
% 41.62/27.24 tff(11017,plain,
% 41.62/27.24 (~v130(constB85, bitIndex1)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11016, 11012])).
% 41.62/27.24 tff(11018,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB85)) | v130(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB85)) | v130(constB85, bitIndex1))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11019,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB85)) | v130(constB85, bitIndex1))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11020,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB85)) | v130(constB85, bitIndex1)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11019, 11018])).
% 41.62/27.24 tff(11021,plain,
% 41.62/27.24 (~v120(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11020, 1788, 11017])).
% 41.62/27.24 tff(11022,plain,
% 41.62/27.24 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0))))),
% 41.62/27.24 inference(bind,[status(th)],[])).
% 41.62/27.24 tff(11023,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(quant_intro,[status(thm)],[11022])).
% 41.62/27.24 tff(11024,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11025,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 41.62/27.24 tff(11026,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11025, 11024])).
% 41.62/27.24 tff(11027,plain,(
% 41.62/27.24 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(skolemize,[status(sab)],[11026])).
% 41.62/27.24 tff(11028,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11027, 11023])).
% 41.62/27.24 tff(11029,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB85)) | (~v90(constB85, bitIndex0)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11030,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex0)))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11031,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB85)) | (~v90(constB85, bitIndex0))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11030, 11029])).
% 41.62/27.24 tff(11032,plain,
% 41.62/27.24 (~v119(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11031, 11028, 10984])).
% 41.62/27.24 tff(11033,plain,
% 41.62/27.24 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0))))),
% 41.62/27.24 inference(bind,[status(th)],[])).
% 41.62/27.24 tff(11034,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(quant_intro,[status(thm)],[11033])).
% 41.62/27.24 tff(11035,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11036,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 41.62/27.24 tff(11037,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11036, 11035])).
% 41.62/27.24 tff(11038,plain,(
% 41.62/27.24 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(skolemize,[status(sab)],[11037])).
% 41.62/27.24 tff(11039,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11038, 11034])).
% 41.62/27.24 tff(11040,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB85)) | (~v90(constB85, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB85)) | (~v90(constB85, bitIndex0)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11041,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB85)) | (~v90(constB85, bitIndex0)))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11042,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB85)) | (~v90(constB85, bitIndex0))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11041, 11040])).
% 41.62/27.24 tff(11043,plain,
% 41.62/27.24 (~v121(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11042, 11039, 10984])).
% 41.62/27.24 tff(11044,plain,
% 41.62/27.24 (~v129(constB86, bitIndex2)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10864, 10992])).
% 41.62/27.24 tff(11045,plain,
% 41.62/27.24 (~v127(constB85, bitIndex2)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10856, 11044])).
% 41.62/27.24 tff(11046,plain,
% 41.62/27.24 (~v130(constB85, bitIndex2)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10851, 11045])).
% 41.62/27.24 tff(11047,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB85)) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB85)) | v130(constB85, bitIndex2))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11048,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB85)) | v130(constB85, bitIndex2))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11049,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB85)) | v130(constB85, bitIndex2)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11048, 11047])).
% 41.62/27.24 tff(11050,plain,
% 41.62/27.24 (~v122(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11049, 2224, 11046])).
% 41.62/27.24 tff(11051,plain,
% 41.62/27.24 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0))))),
% 41.62/27.24 inference(bind,[status(th)],[])).
% 41.62/27.24 tff(11052,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(quant_intro,[status(thm)],[11051])).
% 41.62/27.24 tff(11053,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11054,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 41.62/27.24 tff(11055,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11054, 11053])).
% 41.62/27.24 tff(11056,plain,(
% 41.62/27.24 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(skolemize,[status(sab)],[11055])).
% 41.62/27.24 tff(11057,plain,
% 41.62/27.24 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11056, 11052])).
% 41.62/27.24 tff(11058,plain,
% 41.62/27.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB85)) | (~v90(constB85, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB85)) | (~v90(constB85, bitIndex0)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11059,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB85)) | (~v90(constB85, bitIndex0)))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11060,plain,
% 41.62/27.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB85)) | (~v90(constB85, bitIndex0))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11059, 11058])).
% 41.62/27.24 tff(11061,plain,
% 41.62/27.24 (~v123(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11060, 11057, 10984])).
% 41.62/27.24 tff(11062,plain,
% 41.62/27.24 (v120(constB85) | v124(constB85)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[10980, 1538, 10995, 11061, 11050, 11043, 11032])).
% 41.62/27.24 tff(11063,plain,
% 41.62/27.24 ($false),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11062, 11021, 10999])).
% 41.62/27.24 tff(11064,plain,(v90(constB86, bitIndex1) | v90(constB86, bitIndex0) | v90(constB86, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.24 tff(11065,plain,
% 41.62/27.24 (v90(constB86, bitIndex0)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11064, 10820, 10819])).
% 41.62/27.24 tff(11066,plain,
% 41.62/27.24 ((~v1(constB87)) <=> (~v1(constB87))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11067,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 41.62/27.24 tff(11068,plain,
% 41.62/27.24 (~v1(constB87)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11067, 11066])).
% 41.62/27.24 tff(11069,plain,
% 41.62/27.24 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11070,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 41.62/27.24 tff(11071,plain,
% 41.62/27.24 (nextState(constB86, constB87)),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11070, 11069])).
% 41.62/27.24 tff(11072,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11073,plain,
% 41.62/27.24 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11074,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 41.62/27.24 inference(monotonicity,[status(thm)],[11073])).
% 41.62/27.24 tff(11075,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 41.62/27.24 inference(transitivity,[status(thm)],[11074, 11072])).
% 41.62/27.24 tff(11076,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11077,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11076, 11075])).
% 41.62/27.24 tff(11078,plain,
% 41.62/27.24 (~v101(constB87)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11077, 391, 11071, 11068])).
% 41.62/27.24 tff(11079,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 41.62/27.24 inference(rewrite,[status(thm)],[])).
% 41.62/27.24 tff(11080,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 41.62/27.24 inference(quant_inst,[status(thm)],[])).
% 41.62/27.24 tff(11081,plain,
% 41.62/27.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 41.62/27.24 inference(modus_ponens,[status(thm)],[11080, 11079])).
% 41.62/27.24 tff(11082,plain,
% 41.62/27.24 (v101(constB87) | (~v100(constB87))),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11081, 408, 11071])).
% 41.62/27.24 tff(11083,plain,
% 41.62/27.24 (~v100(constB87)),
% 41.62/27.24 inference(unit_resolution,[status(thm)],[11082, 11078])).
% 41.62/27.24 tff(11084,plain,
% 41.62/27.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11085,plain,
% 41.62/27.25 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11086,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11085])).
% 41.62/27.25 tff(11087,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11086, 11084])).
% 41.62/27.25 tff(11088,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11089,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11088, 11087])).
% 41.62/27.25 tff(11090,plain,
% 41.62/27.25 (v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11089, 444, 11071])).
% 41.62/27.25 tff(11091,plain,
% 41.62/27.25 (v90(constB86, bitIndex1) | (~v90(constB87, bitIndex1))),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11090, 11083])).
% 41.62/27.25 tff(11092,plain,
% 41.62/27.25 (~v90(constB87, bitIndex1)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11091, 10819])).
% 41.62/27.25 tff(11093,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11094,plain,
% 41.62/27.25 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11095,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11094])).
% 41.62/27.25 tff(11096,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11095, 11093])).
% 41.62/27.25 tff(11097,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11098,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 41.62/27.25 tff(11099,plain,
% 41.62/27.25 (v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11098, 423, 11071])).
% 41.62/27.25 tff(11100,plain,
% 41.62/27.25 (v90(constB86, bitIndex2) | (~v90(constB87, bitIndex2))),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11099, 11083])).
% 41.62/27.25 tff(11101,plain,
% 41.62/27.25 (~v90(constB87, bitIndex2)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11100, 10820])).
% 41.62/27.25 tff(11102,assumption,(~v120(constB87)), introduced(assumption)).
% 41.62/27.25 tff(11103,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11104,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11105,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11104, 11103])).
% 41.62/27.25 tff(11106,plain,
% 41.62/27.25 ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11105, 1619, 11102])).
% 41.62/27.25 tff(11107,plain,
% 41.62/27.25 (~v90(constB87, bitIndex0)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11106, 11101, 11092])).
% 41.62/27.25 tff(11108,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11109,plain,
% 41.62/27.25 (((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11110,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11109])).
% 41.62/27.25 tff(11111,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11110, 11108])).
% 41.62/27.25 tff(11112,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11113,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11112, 11111])).
% 41.62/27.25 tff(11114,plain,
% 41.62/27.25 ((~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11113, 1600, 11071])).
% 41.62/27.25 tff(11115,plain,
% 41.62/27.25 ((~v90(constB86, bitIndex0)) | v90(constB87, bitIndex0)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11114, 11083])).
% 41.62/27.25 tff(11116,plain,
% 41.62/27.25 ($false),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11115, 11107, 11065])).
% 41.62/27.25 tff(11117,plain,(v90(constB86, bitIndex2) | v120(constB87) | v90(constB86, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.25 tff(11118,plain,
% 41.62/27.25 (v120(constB87)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11117, 10818, 10796])).
% 41.62/27.25 tff(11119,assumption,(v120(constB87)), introduced(assumption)).
% 41.62/27.25 tff(11120,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11121,plain,
% 41.62/27.25 (((~v120(constB87)) | v118(constB87)) <=> (v118(constB87) | (~v120(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11122,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11121])).
% 41.62/27.25 tff(11123,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11122, 11120])).
% 41.62/27.25 tff(11124,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11125,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11124, 11123])).
% 41.62/27.25 tff(11126,plain,
% 41.62/27.25 (v118(constB87)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11125, 1630, 11119])).
% 41.62/27.25 tff(11127,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11128,plain,
% 41.62/27.25 (((~v118(constB87)) | v117(constB87)) <=> (v117(constB87) | (~v118(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11129,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11128])).
% 41.62/27.25 tff(11130,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11129, 11127])).
% 41.62/27.25 tff(11131,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11132,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 41.62/27.25 tff(11133,plain,
% 41.62/27.25 (v117(constB87)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11132, 511, 11126])).
% 41.62/27.25 tff(11134,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11135,plain,
% 41.62/27.25 (((~v117(constB87)) | v116(constB87)) <=> (v116(constB87) | (~v117(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11136,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11135])).
% 41.62/27.25 tff(11137,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11136, 11134])).
% 41.62/27.25 tff(11138,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11139,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11138, 11137])).
% 41.62/27.25 tff(11140,plain,
% 41.62/27.25 (v116(constB87)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11139, 525, 11133])).
% 41.62/27.25 tff(11141,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11142,plain,
% 41.62/27.25 (((~v116(constB87)) | v115(constB87)) <=> (v115(constB87) | (~v116(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11143,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11142])).
% 41.62/27.25 tff(11144,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11143, 11141])).
% 41.62/27.25 tff(11145,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11146,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 41.62/27.25 tff(11147,plain,
% 41.62/27.25 (v115(constB87)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11146, 539, 11140])).
% 41.62/27.25 tff(11148,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11149,plain,
% 41.62/27.25 (((~v115(constB87)) | v114(constB87)) <=> (v114(constB87) | (~v115(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11150,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11149])).
% 41.62/27.25 tff(11151,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11150, 11148])).
% 41.62/27.25 tff(11152,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11153,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11152, 11151])).
% 41.62/27.25 tff(11154,plain,
% 41.62/27.25 (v114(constB87)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11153, 553, 11147])).
% 41.62/27.25 tff(11155,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11156,plain,
% 41.62/27.25 (((~v114(constB87)) | v113(constB87)) <=> (v113(constB87) | (~v114(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11157,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11156])).
% 41.62/27.25 tff(11158,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11157, 11155])).
% 41.62/27.25 tff(11159,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11160,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11159, 11158])).
% 41.62/27.25 tff(11161,plain,
% 41.62/27.25 (v113(constB87)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11160, 567, 11154])).
% 41.62/27.25 tff(11162,assumption,(v26(constB87)), introduced(assumption)).
% 41.62/27.25 tff(11163,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11164,plain,
% 41.62/27.25 ($false),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11163, 95, 11162])).
% 41.62/27.25 tff(11165,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.25 tff(11166,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11167,plain,
% 41.62/27.25 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11168,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11167])).
% 41.62/27.25 tff(11169,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11168, 11166])).
% 41.62/27.25 tff(11170,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11171,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11170, 11169])).
% 41.62/27.25 tff(11172,plain,
% 41.62/27.25 (v112(constB87) | (~v113(constB87))),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11171, 581, 11165])).
% 41.62/27.25 tff(11173,plain,
% 41.62/27.25 (v112(constB87)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11172, 11161])).
% 41.62/27.25 tff(11174,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11175,plain,
% 41.62/27.25 (((~v112(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v112(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11176,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11175])).
% 41.62/27.25 tff(11177,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11176, 11174])).
% 41.62/27.25 tff(11178,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11179,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11178, 11177])).
% 41.62/27.25 tff(11180,plain,
% 41.62/27.25 (v108(constB87)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11179, 746, 11173])).
% 41.62/27.25 tff(11181,plain,
% 41.62/27.25 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11182,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 41.62/27.25 tff(11183,plain,
% 41.62/27.25 (nextState(constB87, constB88)),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11182, 11181])).
% 41.62/27.25 tff(11184,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11185,plain,
% 41.62/27.25 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11186,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11185])).
% 41.62/27.25 tff(11187,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11186, 11184])).
% 41.62/27.25 tff(11188,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11189,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11188, 11187])).
% 41.62/27.25 tff(11190,plain,
% 41.62/27.25 (v110(constB88) | (~v108(constB87))),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11189, 731, 11183])).
% 41.62/27.25 tff(11191,plain,
% 41.62/27.25 (v110(constB88)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11190, 11180])).
% 41.62/27.25 tff(11192,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11193,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11194,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11193, 11192])).
% 41.62/27.25 tff(11195,plain,
% 41.62/27.25 (~v104(constB88)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11194, 659, 11183, 11068])).
% 41.62/27.25 tff(11196,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11197,plain,
% 41.62/27.25 (((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)) <=> ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11198,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88)))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11197])).
% 41.62/27.25 tff(11199,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11198, 11196])).
% 41.62/27.25 tff(11200,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11201,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88)),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11200, 11199])).
% 41.62/27.25 tff(11202,plain,
% 41.62/27.25 (v104(constB88) | v102(constB88)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11201, 673, 11183])).
% 41.62/27.25 tff(11203,plain,
% 41.62/27.25 (v102(constB88)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11202, 11195])).
% 41.62/27.25 tff(11204,plain,
% 41.62/27.25 (v1(constB88) <=> v1(constB88)),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11205,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 41.62/27.25 tff(11206,plain,
% 41.62/27.25 (v1(constB88)),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11205, 11204])).
% 41.62/27.25 tff(11207,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11208,plain,
% 41.62/27.25 (((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))) <=> ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11209,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11208])).
% 41.62/27.25 tff(11210,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11209, 11207])).
% 41.62/27.25 tff(11211,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11212,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11211, 11210])).
% 41.62/27.25 tff(11213,plain,
% 41.62/27.25 (v101(constB88) | (~v102(constB88))),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11212, 694, 11183, 11206])).
% 41.62/27.25 tff(11214,plain,
% 41.62/27.25 (v101(constB88)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11213, 11203])).
% 41.62/27.25 tff(11215,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11216,plain,
% 41.62/27.25 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11217,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 41.62/27.25 inference(monotonicity,[status(thm)],[11216])).
% 41.62/27.25 tff(11218,plain,
% 41.62/27.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 41.62/27.25 inference(transitivity,[status(thm)],[11217, 11215])).
% 41.62/27.25 tff(11219,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11220,plain,
% 41.62/27.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11219, 11218])).
% 41.62/27.25 tff(11221,plain,
% 41.62/27.25 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11220, 712, 11183])).
% 41.62/27.25 tff(11222,plain,
% 41.62/27.25 (v100(constB88) | (~v110(constB88))),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11221, 11214])).
% 41.62/27.25 tff(11223,plain,
% 41.62/27.25 (v100(constB88)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11222, 11191])).
% 41.62/27.25 tff(11224,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11225,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 41.62/27.25 inference(quant_inst,[status(thm)],[])).
% 41.62/27.25 tff(11226,plain,
% 41.62/27.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2))),
% 41.62/27.25 inference(modus_ponens,[status(thm)],[11225, 11224])).
% 41.62/27.25 tff(11227,plain,
% 41.62/27.25 (~v130(constB87, bitIndex2)),
% 41.62/27.25 inference(unit_resolution,[status(thm)],[11226, 1732, 11119])).
% 41.62/27.25 tff(11228,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11229,plain,
% 41.62/27.25 ((v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2))) <=> ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 41.62/27.25 inference(rewrite,[status(thm)],[])).
% 41.62/27.25 tff(11230,plain,
% 41.62/27.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)))),
% 41.62/27.26 inference(monotonicity,[status(thm)],[11229])).
% 41.62/27.26 tff(11231,plain,
% 41.62/27.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 41.62/27.26 inference(transitivity,[status(thm)],[11230, 11228])).
% 41.62/27.26 tff(11232,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11233,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11232, 11231])).
% 41.62/27.26 tff(11234,plain,
% 41.62/27.26 ((~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11233, 1419, 11165])).
% 41.62/27.26 tff(11235,plain,
% 41.62/27.26 (~v127(constB87, bitIndex2)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11234, 11227])).
% 41.62/27.26 tff(11236,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11237,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11238,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11237, 11236])).
% 41.62/27.26 tff(11239,plain,
% 41.62/27.26 (v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11238, 1437, 11183])).
% 41.62/27.26 tff(11240,plain,
% 41.62/27.26 (~v129(constB88, bitIndex2)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11239, 11235])).
% 41.62/27.26 tff(11241,plain,
% 41.62/27.26 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11242,plain,
% 41.62/27.26 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11243,plain,
% 41.62/27.26 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11242, 11241])).
% 41.62/27.26 tff(11244,plain,
% 41.62/27.26 ((~v90(constB88, bitIndex2)) | (~v100(constB88))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11243, 1452, 11240])).
% 41.62/27.26 tff(11245,plain,
% 41.62/27.26 (~v90(constB88, bitIndex2)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11244, 11223])).
% 41.62/27.26 tff(11246,plain,
% 41.62/27.26 ((~v1(constB89)) <=> (~v1(constB89))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11247,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 41.62/27.26 tff(11248,plain,
% 41.62/27.26 (~v1(constB89)),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11247, 11246])).
% 41.62/27.26 tff(11249,plain,
% 41.62/27.26 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11250,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 41.62/27.26 tff(11251,plain,
% 41.62/27.26 (nextState(constB88, constB89)),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11250, 11249])).
% 41.62/27.26 tff(11252,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11253,plain,
% 41.62/27.26 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11254,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 41.62/27.26 inference(monotonicity,[status(thm)],[11253])).
% 41.62/27.26 tff(11255,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 41.62/27.26 inference(transitivity,[status(thm)],[11254, 11252])).
% 41.62/27.26 tff(11256,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11257,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11256, 11255])).
% 41.62/27.26 tff(11258,plain,
% 41.62/27.26 (~v101(constB89)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11257, 391, 11251, 11248])).
% 41.62/27.26 tff(11259,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11260,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11261,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 41.62/27.26 tff(11262,plain,
% 41.62/27.26 (v101(constB89) | (~v100(constB89))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11261, 408, 11251])).
% 41.62/27.26 tff(11263,plain,
% 41.62/27.26 (~v100(constB89)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11262, 11258])).
% 41.62/27.26 tff(11264,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11265,plain,
% 41.62/27.26 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11266,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))))),
% 41.62/27.26 inference(monotonicity,[status(thm)],[11265])).
% 41.62/27.26 tff(11267,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 41.62/27.26 inference(transitivity,[status(thm)],[11266, 11264])).
% 41.62/27.26 tff(11268,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11269,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11268, 11267])).
% 41.62/27.26 tff(11270,plain,
% 41.62/27.26 (v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11269, 423, 11251])).
% 41.62/27.26 tff(11271,plain,
% 41.62/27.26 (v90(constB88, bitIndex2) | (~v90(constB89, bitIndex2))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11270, 11263])).
% 41.62/27.26 tff(11272,plain,
% 41.62/27.26 (~v90(constB89, bitIndex2)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11271, 11245])).
% 41.62/27.26 tff(11273,plain,
% 41.62/27.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11274,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11275,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1)),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11274, 11273])).
% 41.62/27.26 tff(11276,plain,
% 41.62/27.26 (v130(constB87, bitIndex1)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11275, 1788, 11119])).
% 41.62/27.26 tff(11277,plain,
% 41.62/27.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11278,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11279,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11278, 11277])).
% 41.62/27.26 tff(11280,plain,
% 41.62/27.26 ((~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11279, 1144, 11165])).
% 41.62/27.26 tff(11281,plain,
% 41.62/27.26 (v127(constB87, bitIndex1)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11280, 11276])).
% 41.62/27.26 tff(11282,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11283,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11284,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11283, 11282])).
% 41.62/27.26 tff(11285,plain,
% 41.62/27.26 ((~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11284, 1159, 11183])).
% 41.62/27.26 tff(11286,plain,
% 41.62/27.26 (v129(constB88, bitIndex1)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11285, 11281])).
% 41.62/27.26 tff(11287,plain,
% 41.62/27.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11288,plain,
% 41.62/27.26 ((v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1))) <=> (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11289,plain,
% 41.62/27.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))))),
% 41.62/27.26 inference(monotonicity,[status(thm)],[11288])).
% 41.62/27.26 tff(11290,plain,
% 41.62/27.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 41.62/27.26 inference(transitivity,[status(thm)],[11289, 11287])).
% 41.62/27.26 tff(11291,plain,
% 41.62/27.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11292,plain,
% 41.62/27.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11291, 11290])).
% 41.62/27.26 tff(11293,plain,
% 41.62/27.26 (v90(constB88, bitIndex1) | (~v100(constB88))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11292, 1174, 11286])).
% 41.62/27.26 tff(11294,plain,
% 41.62/27.26 (v90(constB88, bitIndex1)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11293, 11223])).
% 41.62/27.26 tff(11295,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11296,plain,
% 41.62/27.26 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)) <=> ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11297,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)))),
% 41.62/27.26 inference(monotonicity,[status(thm)],[11296])).
% 41.62/27.26 tff(11298,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 41.62/27.26 inference(transitivity,[status(thm)],[11297, 11295])).
% 41.62/27.26 tff(11299,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11300,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11299, 11298])).
% 41.62/27.26 tff(11301,plain,
% 41.62/27.26 ((~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11300, 1192, 11251])).
% 41.62/27.26 tff(11302,plain,
% 41.62/27.26 ((~v90(constB88, bitIndex1)) | v90(constB89, bitIndex1)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11301, 11263])).
% 41.62/27.26 tff(11303,plain,
% 41.62/27.26 (v90(constB89, bitIndex1)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11302, 11294])).
% 41.62/27.26 tff(11304,plain,
% 41.62/27.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11305,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11306,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11305, 11304])).
% 41.62/27.26 tff(11307,plain,
% 41.62/27.26 (~v130(constB87, bitIndex0)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11306, 1826, 11119])).
% 41.62/27.26 tff(11308,assumption,(v127(constB87, bitIndex0)), introduced(assumption)).
% 41.62/27.26 tff(11309,assumption,(~v130(constB87, bitIndex0)), introduced(assumption)).
% 41.62/27.26 tff(11310,plain,
% 41.62/27.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11311,plain,
% 41.62/27.26 ((v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0))) <=> ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11312,plain,
% 41.62/27.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)))),
% 41.62/27.26 inference(monotonicity,[status(thm)],[11311])).
% 41.62/27.26 tff(11313,plain,
% 41.62/27.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 41.62/27.26 inference(transitivity,[status(thm)],[11312, 11310])).
% 41.62/27.26 tff(11314,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11315,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11314, 11313])).
% 41.62/27.26 tff(11316,plain,
% 41.62/27.26 ((~v127(constB87, bitIndex0)) | v26(constB87)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11315, 907, 11309])).
% 41.62/27.26 tff(11317,plain,
% 41.62/27.26 (v26(constB87)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11316, 11308])).
% 41.62/27.26 tff(11318,plain,
% 41.62/27.26 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB87)) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB87)) | (~v127(constB87, bitIndex0)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11319,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB87)) | (~v127(constB87, bitIndex0)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11320,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB87)) | (~v127(constB87, bitIndex0))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11319, 11318])).
% 41.62/27.26 tff(11321,plain,
% 41.62/27.26 ($false),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11320, 922, 11308, 11317])).
% 41.62/27.26 tff(11322,plain,((~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.26 tff(11323,plain,
% 41.62/27.26 (~v127(constB87, bitIndex0)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11322, 11307])).
% 41.62/27.26 tff(11324,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11325,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11326,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11325, 11324])).
% 41.62/27.26 tff(11327,plain,
% 41.62/27.26 (v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11326, 937, 11183])).
% 41.62/27.26 tff(11328,plain,
% 41.62/27.26 (~v129(constB88, bitIndex0)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11327, 11323])).
% 41.62/27.26 tff(11329,plain,
% 41.62/27.26 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11330,plain,
% 41.62/27.26 (((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0)) <=> ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11331,plain,
% 41.62/27.26 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))))),
% 41.62/27.26 inference(monotonicity,[status(thm)],[11330])).
% 41.62/27.26 tff(11332,plain,
% 41.62/27.26 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 41.62/27.26 inference(transitivity,[status(thm)],[11331, 11329])).
% 41.62/27.26 tff(11333,plain,
% 41.62/27.26 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11334,plain,
% 41.62/27.26 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11333, 11332])).
% 41.62/27.26 tff(11335,plain,
% 41.62/27.26 ((~v90(constB88, bitIndex0)) | (~v100(constB88))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11334, 952, 11328])).
% 41.62/27.26 tff(11336,plain,
% 41.62/27.26 (~v90(constB88, bitIndex0)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11335, 11223])).
% 41.62/27.26 tff(11337,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11338,plain,
% 41.62/27.26 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11339,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))))),
% 41.62/27.26 inference(monotonicity,[status(thm)],[11338])).
% 41.62/27.26 tff(11340,plain,
% 41.62/27.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 41.62/27.26 inference(transitivity,[status(thm)],[11339, 11337])).
% 41.62/27.26 tff(11341,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11342,plain,
% 41.62/27.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 41.62/27.26 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 41.62/27.26 tff(11343,plain,
% 41.62/27.26 (v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11342, 465, 11251])).
% 41.62/27.26 tff(11344,plain,
% 41.62/27.26 (v90(constB88, bitIndex0) | (~v90(constB89, bitIndex0))),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11343, 11263])).
% 41.62/27.26 tff(11345,plain,
% 41.62/27.26 (~v90(constB89, bitIndex0)),
% 41.62/27.26 inference(unit_resolution,[status(thm)],[11344, 11336])).
% 41.62/27.26 tff(11346,assumption,(~v121(constB89)), introduced(assumption)).
% 41.62/27.26 tff(11347,plain,
% 41.62/27.26 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 41.62/27.26 inference(rewrite,[status(thm)],[])).
% 41.62/27.26 tff(11348,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 41.62/27.26 inference(quant_inst,[status(thm)],[])).
% 41.62/27.26 tff(11349,plain,
% 41.62/27.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 41.62/27.27 tff(11350,plain,
% 41.62/27.27 (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11349, 1870, 11346])).
% 41.62/27.27 tff(11351,plain,
% 41.62/27.27 ($false),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11350, 11345, 11303, 11272])).
% 41.62/27.27 tff(11352,plain,((~v120(constB87)) | v121(constB89)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.27 tff(11353,plain,
% 41.62/27.27 (v121(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11352, 11118])).
% 41.62/27.27 tff(11354,assumption,(v121(constB89)), introduced(assumption)).
% 41.62/27.27 tff(11355,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11356,plain,
% 41.62/27.27 (((~v121(constB89)) | v117(constB89)) <=> (v117(constB89) | (~v121(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11357,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11356])).
% 41.62/27.27 tff(11358,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11357, 11355])).
% 41.62/27.27 tff(11359,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11360,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11359, 11358])).
% 41.62/27.27 tff(11361,plain,
% 41.62/27.27 (v117(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11360, 1881, 11354])).
% 41.62/27.27 tff(11362,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11363,plain,
% 41.62/27.27 (((~v117(constB89)) | v116(constB89)) <=> (v116(constB89) | (~v117(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11364,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11363])).
% 41.62/27.27 tff(11365,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11364, 11362])).
% 41.62/27.27 tff(11366,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11367,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11366, 11365])).
% 41.62/27.27 tff(11368,plain,
% 41.62/27.27 (v116(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11367, 525, 11361])).
% 41.62/27.27 tff(11369,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11370,plain,
% 41.62/27.27 (((~v116(constB89)) | v115(constB89)) <=> (v115(constB89) | (~v116(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11371,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB89) | (~v116(constB89))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11370])).
% 41.62/27.27 tff(11372,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11371, 11369])).
% 41.62/27.27 tff(11373,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11374,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11373, 11372])).
% 41.62/27.27 tff(11375,plain,
% 41.62/27.27 (v115(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11374, 539, 11368])).
% 41.62/27.27 tff(11376,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11377,plain,
% 41.62/27.27 (((~v115(constB89)) | v114(constB89)) <=> (v114(constB89) | (~v115(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11378,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11377])).
% 41.62/27.27 tff(11379,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11378, 11376])).
% 41.62/27.27 tff(11380,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11381,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 41.62/27.27 tff(11382,plain,
% 41.62/27.27 (v114(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11381, 553, 11375])).
% 41.62/27.27 tff(11383,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11384,plain,
% 41.62/27.27 (((~v114(constB89)) | v113(constB89)) <=> (v113(constB89) | (~v114(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11385,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11384])).
% 41.62/27.27 tff(11386,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11385, 11383])).
% 41.62/27.27 tff(11387,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11388,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11387, 11386])).
% 41.62/27.27 tff(11389,plain,
% 41.62/27.27 (v113(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11388, 567, 11382])).
% 41.62/27.27 tff(11390,assumption,(~v108(constB89)), introduced(assumption)).
% 41.62/27.27 tff(11391,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11392,plain,
% 41.62/27.27 (((~v112(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v112(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11393,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11392])).
% 41.62/27.27 tff(11394,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11393, 11391])).
% 41.62/27.27 tff(11395,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11396,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11395, 11394])).
% 41.62/27.27 tff(11397,plain,
% 41.62/27.27 (~v112(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11396, 746, 11390])).
% 41.62/27.27 tff(11398,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v26(constB89)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11399,plain,
% 41.62/27.27 (((~v26(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v26(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11400,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v26(constB89))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11399])).
% 41.62/27.27 tff(11401,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11400, 11398])).
% 41.62/27.27 tff(11402,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11403,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11402, 11401])).
% 41.62/27.27 tff(11404,plain,
% 41.62/27.27 (~v26(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11403, 1925, 11390])).
% 41.62/27.27 tff(11405,assumption,(v113(constB89)), introduced(assumption)).
% 41.62/27.27 tff(11406,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11407,plain,
% 41.62/27.27 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11408,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11407])).
% 41.62/27.27 tff(11409,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11408, 11406])).
% 41.62/27.27 tff(11410,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11411,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11410, 11409])).
% 41.62/27.27 tff(11412,plain,
% 41.62/27.27 (v26(constB89) | v112(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11411, 581, 11405])).
% 41.62/27.27 tff(11413,plain,
% 41.62/27.27 ($false),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11412, 11404, 11397])).
% 41.62/27.27 tff(11414,plain,(v108(constB89) | (~v113(constB89))), inference(lemma,lemma(discharge,[]))).
% 41.62/27.27 tff(11415,plain,
% 41.62/27.27 (v108(constB89)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11414, 11389])).
% 41.62/27.27 tff(11416,plain,
% 41.62/27.27 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11417,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 41.62/27.27 tff(11418,plain,
% 41.62/27.27 (nextState(constB89, constB90)),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11417, 11416])).
% 41.62/27.27 tff(11419,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11420,plain,
% 41.62/27.27 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11421,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11420])).
% 41.62/27.27 tff(11422,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11421, 11419])).
% 41.62/27.27 tff(11423,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11424,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11423, 11422])).
% 41.62/27.27 tff(11425,plain,
% 41.62/27.27 (v110(constB90) | (~v108(constB89))),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11424, 731, 11418])).
% 41.62/27.27 tff(11426,plain,
% 41.62/27.27 (v110(constB90)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11425, 11415])).
% 41.62/27.27 tff(11427,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11428,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11429,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 41.62/27.27 tff(11430,plain,
% 41.62/27.27 (~v104(constB90)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11429, 659, 11418, 11248])).
% 41.62/27.27 tff(11431,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11432,plain,
% 41.62/27.27 (((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)) <=> ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11433,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90)))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11432])).
% 41.62/27.27 tff(11434,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11433, 11431])).
% 41.62/27.27 tff(11435,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11436,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90)),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11435, 11434])).
% 41.62/27.27 tff(11437,plain,
% 41.62/27.27 (v104(constB90) | v102(constB90)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11436, 673, 11418])).
% 41.62/27.27 tff(11438,plain,
% 41.62/27.27 (v102(constB90)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11437, 11430])).
% 41.62/27.27 tff(11439,plain,
% 41.62/27.27 (v1(constB90) <=> v1(constB90)),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11440,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 41.62/27.27 tff(11441,plain,
% 41.62/27.27 (v1(constB90)),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 41.62/27.27 tff(11442,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11443,plain,
% 41.62/27.27 (((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))) <=> ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11444,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11443])).
% 41.62/27.27 tff(11445,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11444, 11442])).
% 41.62/27.27 tff(11446,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11447,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11446, 11445])).
% 41.62/27.27 tff(11448,plain,
% 41.62/27.27 (v101(constB90) | (~v102(constB90))),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11447, 694, 11418, 11441])).
% 41.62/27.27 tff(11449,plain,
% 41.62/27.27 (v101(constB90)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11448, 11438])).
% 41.62/27.27 tff(11450,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11451,plain,
% 41.62/27.27 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11452,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11451])).
% 41.62/27.27 tff(11453,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11452, 11450])).
% 41.62/27.27 tff(11454,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11455,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11454, 11453])).
% 41.62/27.27 tff(11456,plain,
% 41.62/27.27 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11455, 712, 11418])).
% 41.62/27.27 tff(11457,plain,
% 41.62/27.27 (v100(constB90) | (~v110(constB90))),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11456, 11449])).
% 41.62/27.27 tff(11458,plain,
% 41.62/27.27 (v100(constB90)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11457, 11426])).
% 41.62/27.27 tff(11459,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11460,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11461,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11460, 11459])).
% 41.62/27.27 tff(11462,plain,
% 41.62/27.27 (~v130(constB89, bitIndex2)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11461, 1990, 11354])).
% 41.62/27.27 tff(11463,assumption,(v26(constB89)), introduced(assumption)).
% 41.62/27.27 tff(11464,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11465,plain,
% 41.62/27.27 ($false),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11464, 95, 11463])).
% 41.62/27.27 tff(11466,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.27 tff(11467,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11468,plain,
% 41.62/27.27 ((v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2))) <=> ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11469,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11468])).
% 41.62/27.27 tff(11470,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11469, 11467])).
% 41.62/27.27 tff(11471,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11472,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11471, 11470])).
% 41.62/27.27 tff(11473,plain,
% 41.62/27.27 ((~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11472, 1419, 11466])).
% 41.62/27.27 tff(11474,plain,
% 41.62/27.27 (~v127(constB89, bitIndex2)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11473, 11462])).
% 41.62/27.27 tff(11475,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11476,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11477,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11476, 11475])).
% 41.62/27.27 tff(11478,plain,
% 41.62/27.27 (v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11477, 1437, 11418])).
% 41.62/27.27 tff(11479,plain,
% 41.62/27.27 (~v129(constB90, bitIndex2)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11478, 11474])).
% 41.62/27.27 tff(11480,plain,
% 41.62/27.27 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11481,plain,
% 41.62/27.27 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11482,plain,
% 41.62/27.27 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11481, 11480])).
% 41.62/27.27 tff(11483,plain,
% 41.62/27.27 ((~v90(constB90, bitIndex2)) | (~v100(constB90))),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11482, 1452, 11479])).
% 41.62/27.27 tff(11484,plain,
% 41.62/27.27 (~v90(constB90, bitIndex2)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11483, 11458])).
% 41.62/27.27 tff(11485,plain,
% 41.62/27.27 ((~v1(constB91)) <=> (~v1(constB91))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11486,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 41.62/27.27 tff(11487,plain,
% 41.62/27.27 (~v1(constB91)),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11486, 11485])).
% 41.62/27.27 tff(11488,plain,
% 41.62/27.27 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11489,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 41.62/27.27 tff(11490,plain,
% 41.62/27.27 (nextState(constB90, constB91)),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11489, 11488])).
% 41.62/27.27 tff(11491,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11492,plain,
% 41.62/27.27 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11493,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11492])).
% 41.62/27.27 tff(11494,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11493, 11491])).
% 41.62/27.27 tff(11495,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11496,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11495, 11494])).
% 41.62/27.27 tff(11497,plain,
% 41.62/27.27 (~v101(constB91)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11496, 391, 11490, 11487])).
% 41.62/27.27 tff(11498,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11499,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11500,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11499, 11498])).
% 41.62/27.27 tff(11501,plain,
% 41.62/27.27 (v101(constB91) | (~v100(constB91))),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11500, 408, 11490])).
% 41.62/27.27 tff(11502,plain,
% 41.62/27.27 (~v100(constB91)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11501, 11497])).
% 41.62/27.27 tff(11503,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11504,plain,
% 41.62/27.27 (((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11505,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))))),
% 41.62/27.27 inference(monotonicity,[status(thm)],[11504])).
% 41.62/27.27 tff(11506,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 41.62/27.27 inference(transitivity,[status(thm)],[11505, 11503])).
% 41.62/27.27 tff(11507,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11508,plain,
% 41.62/27.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11507, 11506])).
% 41.62/27.27 tff(11509,plain,
% 41.62/27.27 (v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11508, 423, 11490])).
% 41.62/27.27 tff(11510,plain,
% 41.62/27.27 (v90(constB90, bitIndex2) | (~v90(constB91, bitIndex2))),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11509, 11502])).
% 41.62/27.27 tff(11511,plain,
% 41.62/27.27 (~v90(constB91, bitIndex2)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11510, 11484])).
% 41.62/27.27 tff(11512,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11513,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11514,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0)),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11513, 11512])).
% 41.62/27.27 tff(11515,plain,
% 41.62/27.27 (v130(constB89, bitIndex0)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11514, 2088, 11354])).
% 41.62/27.27 tff(11516,plain,
% 41.62/27.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 41.62/27.27 inference(rewrite,[status(thm)],[])).
% 41.62/27.27 tff(11517,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 41.62/27.27 inference(quant_inst,[status(thm)],[])).
% 41.62/27.27 tff(11518,plain,
% 41.62/27.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 41.62/27.27 inference(modus_ponens,[status(thm)],[11517, 11516])).
% 41.62/27.27 tff(11519,plain,
% 41.62/27.27 ((~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11518, 1552, 11466])).
% 41.62/27.27 tff(11520,plain,
% 41.62/27.27 (v127(constB89, bitIndex0)),
% 41.62/27.27 inference(unit_resolution,[status(thm)],[11519, 11515])).
% 41.62/27.27 tff(11521,plain,
% 41.62/27.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11522,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11523,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11522, 11521])).
% 41.62/27.28 tff(11524,plain,
% 41.62/27.28 ((~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11523, 1567, 11418])).
% 41.62/27.28 tff(11525,plain,
% 41.62/27.28 (v129(constB90, bitIndex0)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11524, 11520])).
% 41.62/27.28 tff(11526,plain,
% 41.62/27.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11527,plain,
% 41.62/27.28 ((v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0))) <=> (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11528,plain,
% 41.62/27.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11527])).
% 41.62/27.28 tff(11529,plain,
% 41.62/27.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11528, 11526])).
% 41.62/27.28 tff(11530,plain,
% 41.62/27.28 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11531,plain,
% 41.62/27.28 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11530, 11529])).
% 41.62/27.28 tff(11532,plain,
% 41.62/27.28 (v90(constB90, bitIndex0) | (~v100(constB90))),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11531, 1582, 11525])).
% 41.62/27.28 tff(11533,plain,
% 41.62/27.28 (v90(constB90, bitIndex0)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11532, 11458])).
% 41.62/27.28 tff(11534,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11535,plain,
% 41.62/27.28 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11536,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11535])).
% 41.62/27.28 tff(11537,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11536, 11534])).
% 41.62/27.28 tff(11538,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11539,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11538, 11537])).
% 41.62/27.28 tff(11540,plain,
% 41.62/27.28 ((~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11539, 1600, 11490])).
% 41.62/27.28 tff(11541,plain,
% 41.62/27.28 ((~v90(constB90, bitIndex0)) | v90(constB91, bitIndex0)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11540, 11502])).
% 41.62/27.28 tff(11542,plain,
% 41.62/27.28 (v90(constB91, bitIndex0)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11541, 11533])).
% 41.62/27.28 tff(11543,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11544,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11545,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 41.62/27.28 tff(11546,plain,
% 41.62/27.28 (v130(constB89, bitIndex1)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11545, 2050, 11354])).
% 41.62/27.28 tff(11547,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11548,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11549,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11548, 11547])).
% 41.62/27.28 tff(11550,plain,
% 41.62/27.28 ((~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11549, 1144, 11466])).
% 41.62/27.28 tff(11551,plain,
% 41.62/27.28 (v127(constB89, bitIndex1)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11550, 11546])).
% 41.62/27.28 tff(11552,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11553,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11554,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11553, 11552])).
% 41.62/27.28 tff(11555,plain,
% 41.62/27.28 ((~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11554, 1159, 11418])).
% 41.62/27.28 tff(11556,plain,
% 41.62/27.28 (v129(constB90, bitIndex1)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11555, 11551])).
% 41.62/27.28 tff(11557,plain,
% 41.62/27.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11558,plain,
% 41.62/27.28 ((v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1))) <=> (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11559,plain,
% 41.62/27.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11558])).
% 41.62/27.28 tff(11560,plain,
% 41.62/27.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11559, 11557])).
% 41.62/27.28 tff(11561,plain,
% 41.62/27.28 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11562,plain,
% 41.62/27.28 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11561, 11560])).
% 41.62/27.28 tff(11563,plain,
% 41.62/27.28 (v90(constB90, bitIndex1) | (~v100(constB90))),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11562, 1174, 11556])).
% 41.62/27.28 tff(11564,plain,
% 41.62/27.28 (v90(constB90, bitIndex1)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11563, 11458])).
% 41.62/27.28 tff(11565,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11566,plain,
% 41.62/27.28 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11567,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11566])).
% 41.62/27.28 tff(11568,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11567, 11565])).
% 41.62/27.28 tff(11569,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11570,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11569, 11568])).
% 41.62/27.28 tff(11571,plain,
% 41.62/27.28 ((~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11570, 1192, 11490])).
% 41.62/27.28 tff(11572,plain,
% 41.62/27.28 ((~v90(constB90, bitIndex1)) | v90(constB91, bitIndex1)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11571, 11502])).
% 41.62/27.28 tff(11573,plain,
% 41.62/27.28 (v90(constB91, bitIndex1)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11572, 11564])).
% 41.62/27.28 tff(11574,assumption,(~v122(constB91)), introduced(assumption)).
% 41.62/27.28 tff(11575,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11576,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11577,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11576, 11575])).
% 41.62/27.28 tff(11578,plain,
% 41.62/27.28 ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11577, 2129, 11574])).
% 41.62/27.28 tff(11579,plain,
% 41.62/27.28 ($false),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11578, 11573, 11542, 11511])).
% 41.62/27.28 tff(11580,plain,((~v121(constB89)) | v122(constB91)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.28 tff(11581,plain,
% 41.62/27.28 (v122(constB91)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11580, 11353])).
% 41.62/27.28 tff(11582,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11583,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11584,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 41.62/27.28 tff(11585,plain,
% 41.62/27.28 (v116(constB91)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11584, 2140, 11581])).
% 41.62/27.28 tff(11586,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11587,plain,
% 41.62/27.28 (((~v116(constB91)) | v115(constB91)) <=> (v115(constB91) | (~v116(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11588,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91))))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11587])).
% 41.62/27.28 tff(11589,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11588, 11586])).
% 41.62/27.28 tff(11590,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11591,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11590, 11589])).
% 41.62/27.28 tff(11592,plain,
% 41.62/27.28 (v115(constB91)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11591, 539, 11585])).
% 41.62/27.28 tff(11593,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11594,plain,
% 41.62/27.28 (((~v115(constB91)) | v114(constB91)) <=> (v114(constB91) | (~v115(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11595,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91))))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11594])).
% 41.62/27.28 tff(11596,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11595, 11593])).
% 41.62/27.28 tff(11597,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11598,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11597, 11596])).
% 41.62/27.28 tff(11599,plain,
% 41.62/27.28 (v114(constB91)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11598, 553, 11592])).
% 41.62/27.28 tff(11600,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11601,plain,
% 41.62/27.28 (((~v114(constB91)) | v113(constB91)) <=> (v113(constB91) | (~v114(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11602,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91))))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11601])).
% 41.62/27.28 tff(11603,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11602, 11600])).
% 41.62/27.28 tff(11604,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11605,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11604, 11603])).
% 41.62/27.28 tff(11606,plain,
% 41.62/27.28 (v113(constB91)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11605, 567, 11599])).
% 41.62/27.28 tff(11607,assumption,(v26(constB91)), introduced(assumption)).
% 41.62/27.28 tff(11608,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11609,plain,
% 41.62/27.28 ($false),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11608, 95, 11607])).
% 41.62/27.28 tff(11610,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 41.62/27.28 tff(11611,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11612,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11613,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | (~v113(constB91)) | v112(constB91)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11612, 11611])).
% 41.62/27.28 tff(11614,plain,
% 41.62/27.28 ((~v113(constB91)) | v112(constB91)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11613, 581, 11610])).
% 41.62/27.28 tff(11615,plain,
% 41.62/27.28 (v112(constB91)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11614, 11606])).
% 41.62/27.28 tff(11616,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11617,plain,
% 41.62/27.28 (((~v112(constB91)) | v108(constB91)) <=> (v108(constB91) | (~v112(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11618,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91))))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11617])).
% 41.62/27.28 tff(11619,plain,
% 41.62/27.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11618, 11616])).
% 41.62/27.28 tff(11620,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11621,plain,
% 41.62/27.28 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 41.62/27.28 tff(11622,plain,
% 41.62/27.28 (v108(constB91)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11621, 746, 11615])).
% 41.62/27.28 tff(11623,plain,
% 41.62/27.28 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11624,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 41.62/27.28 tff(11625,plain,
% 41.62/27.28 (nextState(constB91, constB92)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11624, 11623])).
% 41.62/27.28 tff(11626,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11627,plain,
% 41.62/27.28 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11628,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11627])).
% 41.62/27.28 tff(11629,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11628, 11626])).
% 41.62/27.28 tff(11630,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11631,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11630, 11629])).
% 41.62/27.28 tff(11632,plain,
% 41.62/27.28 (v110(constB92) | (~v108(constB91))),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11631, 731, 11625])).
% 41.62/27.28 tff(11633,plain,
% 41.62/27.28 (v110(constB92)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11632, 11622])).
% 41.62/27.28 tff(11634,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11635,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11636,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 41.62/27.28 tff(11637,plain,
% 41.62/27.28 (~v104(constB92)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11636, 659, 11625, 11487])).
% 41.62/27.28 tff(11638,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11639,plain,
% 41.62/27.28 (((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)) <=> ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11640,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92)))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11639])).
% 41.62/27.28 tff(11641,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11640, 11638])).
% 41.62/27.28 tff(11642,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11643,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11642, 11641])).
% 41.62/27.28 tff(11644,plain,
% 41.62/27.28 (v104(constB92) | v102(constB92)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11643, 673, 11625])).
% 41.62/27.28 tff(11645,plain,
% 41.62/27.28 (v102(constB92)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11644, 11637])).
% 41.62/27.28 tff(11646,plain,
% 41.62/27.28 (v1(constB92) <=> v1(constB92)),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11647,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 41.62/27.28 tff(11648,plain,
% 41.62/27.28 (v1(constB92)),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11647, 11646])).
% 41.62/27.28 tff(11649,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11650,plain,
% 41.62/27.28 (((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))) <=> ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11651,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92))))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11650])).
% 41.62/27.28 tff(11652,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11651, 11649])).
% 41.62/27.28 tff(11653,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11654,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11653, 11652])).
% 41.62/27.28 tff(11655,plain,
% 41.62/27.28 (v101(constB92) | (~v102(constB92))),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11654, 694, 11625, 11648])).
% 41.62/27.28 tff(11656,plain,
% 41.62/27.28 (v101(constB92)),
% 41.62/27.28 inference(unit_resolution,[status(thm)],[11655, 11645])).
% 41.62/27.28 tff(11657,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11658,plain,
% 41.62/27.28 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 41.62/27.28 inference(rewrite,[status(thm)],[])).
% 41.62/27.28 tff(11659,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 41.62/27.28 inference(monotonicity,[status(thm)],[11658])).
% 41.62/27.28 tff(11660,plain,
% 41.62/27.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 41.62/27.28 inference(transitivity,[status(thm)],[11659, 11657])).
% 41.62/27.28 tff(11661,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 41.62/27.28 inference(quant_inst,[status(thm)],[])).
% 41.62/27.28 tff(11662,plain,
% 41.62/27.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 41.62/27.28 inference(modus_ponens,[status(thm)],[11661, 11660])).
% 41.62/27.29 tff(11663,plain,
% 41.62/27.29 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11662, 712, 11625])).
% 41.62/27.29 tff(11664,plain,
% 41.62/27.29 (v100(constB92) | (~v110(constB92))),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11663, 11656])).
% 41.62/27.29 tff(11665,plain,
% 41.62/27.29 (v100(constB92)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11664, 11633])).
% 41.62/27.29 tff(11666,plain,
% 41.62/27.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11667,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11668,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2)),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11667, 11666])).
% 41.62/27.29 tff(11669,plain,
% 41.62/27.29 (v130(constB91, bitIndex2)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11668, 2224, 11581])).
% 41.62/27.29 tff(11670,plain,
% 41.62/27.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11671,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11672,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11671, 11670])).
% 41.62/27.29 tff(11673,plain,
% 41.62/27.29 ((~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11672, 607, 11610])).
% 41.62/27.29 tff(11674,plain,
% 41.62/27.29 (v127(constB91, bitIndex2)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11673, 11669])).
% 41.62/27.29 tff(11675,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11676,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11677,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11676, 11675])).
% 41.62/27.29 tff(11678,plain,
% 41.62/27.29 ((~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11677, 625, 11625])).
% 41.62/27.29 tff(11679,plain,
% 41.62/27.29 (v129(constB92, bitIndex2)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11678, 11674])).
% 41.62/27.29 tff(11680,plain,
% 41.62/27.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11681,plain,
% 41.62/27.29 ((v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2))) <=> (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11682,plain,
% 41.62/27.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))))),
% 41.62/27.29 inference(monotonicity,[status(thm)],[11681])).
% 41.62/27.29 tff(11683,plain,
% 41.62/27.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 41.62/27.29 inference(transitivity,[status(thm)],[11682, 11680])).
% 41.62/27.29 tff(11684,plain,
% 41.62/27.29 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11685,plain,
% 41.62/27.29 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11684, 11683])).
% 41.62/27.29 tff(11686,plain,
% 41.62/27.29 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11685, 641, 11679])).
% 41.62/27.29 tff(11687,plain,
% 41.62/27.29 (v90(constB92, bitIndex2)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11686, 11665])).
% 41.62/27.29 tff(11688,plain,
% 41.62/27.29 ((~v1(constB93)) <=> (~v1(constB93))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11689,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 41.62/27.29 tff(11690,plain,
% 41.62/27.29 (~v1(constB93)),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11689, 11688])).
% 41.62/27.29 tff(11691,plain,
% 41.62/27.29 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11692,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 41.62/27.29 tff(11693,plain,
% 41.62/27.29 (nextState(constB92, constB93)),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11692, 11691])).
% 41.62/27.29 tff(11694,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11695,plain,
% 41.62/27.29 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11696,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 41.62/27.29 inference(monotonicity,[status(thm)],[11695])).
% 41.62/27.29 tff(11697,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 41.62/27.29 inference(transitivity,[status(thm)],[11696, 11694])).
% 41.62/27.29 tff(11698,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11699,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11698, 11697])).
% 41.62/27.29 tff(11700,plain,
% 41.62/27.29 (~v101(constB93)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11699, 391, 11693, 11690])).
% 41.62/27.29 tff(11701,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11702,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11703,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 41.62/27.29 tff(11704,plain,
% 41.62/27.29 (v101(constB93) | (~v100(constB93))),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11703, 408, 11693])).
% 41.62/27.29 tff(11705,plain,
% 41.62/27.29 (~v100(constB93)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11704, 11700])).
% 41.62/27.29 tff(11706,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11707,plain,
% 41.62/27.29 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)) <=> ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11708,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)))),
% 41.62/27.29 inference(monotonicity,[status(thm)],[11707])).
% 41.62/27.29 tff(11709,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 41.62/27.29 inference(transitivity,[status(thm)],[11708, 11706])).
% 41.62/27.29 tff(11710,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11711,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 41.62/27.29 tff(11712,plain,
% 41.62/27.29 ((~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11711, 783, 11693])).
% 41.62/27.29 tff(11713,plain,
% 41.62/27.29 ((~v90(constB92, bitIndex2)) | v90(constB93, bitIndex2)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11712, 11705])).
% 41.62/27.29 tff(11714,plain,
% 41.62/27.29 (v90(constB93, bitIndex2)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11713, 11687])).
% 41.62/27.29 tff(11715,plain,
% 41.62/27.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11716,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11717,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1))),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11716, 11715])).
% 41.62/27.29 tff(11718,plain,
% 41.62/27.29 (~v130(constB91, bitIndex1)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11717, 2281, 11581])).
% 41.62/27.29 tff(11719,plain,
% 41.62/27.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11720,plain,
% 41.62/27.29 ((v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1))) <=> ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11721,plain,
% 41.62/27.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)))),
% 41.62/27.29 inference(monotonicity,[status(thm)],[11720])).
% 41.62/27.29 tff(11722,plain,
% 41.62/27.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 41.62/27.29 inference(transitivity,[status(thm)],[11721, 11719])).
% 41.62/27.29 tff(11723,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11724,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11723, 11722])).
% 41.62/27.29 tff(11725,plain,
% 41.62/27.29 ((~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11724, 823, 11610])).
% 41.62/27.29 tff(11726,plain,
% 41.62/27.29 (~v127(constB91, bitIndex1)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11725, 11718])).
% 41.62/27.29 tff(11727,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11728,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11729,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11728, 11727])).
% 41.62/27.29 tff(11730,plain,
% 41.62/27.29 (v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11729, 853, 11625])).
% 41.62/27.29 tff(11731,plain,
% 41.62/27.29 (~v129(constB92, bitIndex1)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11730, 11726])).
% 41.62/27.29 tff(11732,plain,
% 41.62/27.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11733,plain,
% 41.62/27.29 (((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11734,plain,
% 41.62/27.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))))),
% 41.62/27.29 inference(monotonicity,[status(thm)],[11733])).
% 41.62/27.29 tff(11735,plain,
% 41.62/27.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 41.62/27.29 inference(transitivity,[status(thm)],[11734, 11732])).
% 41.62/27.29 tff(11736,plain,
% 41.62/27.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11737,plain,
% 41.62/27.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11736, 11735])).
% 41.62/27.29 tff(11738,plain,
% 41.62/27.29 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11737, 868, 11731])).
% 41.62/27.29 tff(11739,plain,
% 41.62/27.29 (~v90(constB92, bitIndex1)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11738, 11665])).
% 41.62/27.29 tff(11740,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11741,plain,
% 41.62/27.29 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11742,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))))),
% 41.62/27.29 inference(monotonicity,[status(thm)],[11741])).
% 41.62/27.29 tff(11743,plain,
% 41.62/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 41.62/27.29 inference(transitivity,[status(thm)],[11742, 11740])).
% 41.62/27.29 tff(11744,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11745,plain,
% 41.62/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11744, 11743])).
% 41.62/27.29 tff(11746,plain,
% 41.62/27.29 (v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11745, 444, 11693])).
% 41.62/27.29 tff(11747,plain,
% 41.62/27.29 (v90(constB92, bitIndex1) | (~v90(constB93, bitIndex1))),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11746, 11705])).
% 41.62/27.29 tff(11748,plain,
% 41.62/27.29 (~v90(constB93, bitIndex1)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11747, 11739])).
% 41.62/27.29 tff(11749,plain,
% 41.62/27.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 41.62/27.29 inference(rewrite,[status(thm)],[])).
% 41.62/27.29 tff(11750,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 41.62/27.29 inference(quant_inst,[status(thm)],[])).
% 41.62/27.29 tff(11751,plain,
% 41.62/27.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0))),
% 41.62/27.29 inference(modus_ponens,[status(thm)],[11750, 11749])).
% 41.62/27.29 tff(11752,plain,
% 41.62/27.29 (~v130(constB91, bitIndex0)),
% 41.62/27.29 inference(unit_resolution,[status(thm)],[11751, 2327, 11581])).
% 41.62/27.29 tff(11753,plain,
% 41.62/27.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 41.70/27.29 inference(rewrite,[status(thm)],[])).
% 41.70/27.29 tff(11754,plain,
% 41.70/27.29 ((v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0))) <=> ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 41.70/27.29 inference(rewrite,[status(thm)],[])).
% 41.70/27.29 tff(11755,plain,
% 41.70/27.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)))),
% 41.70/27.29 inference(monotonicity,[status(thm)],[11754])).
% 41.70/27.29 tff(11756,plain,
% 41.70/27.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 41.70/27.29 inference(transitivity,[status(thm)],[11755, 11753])).
% 41.70/27.29 tff(11757,plain,
% 41.70/27.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))),
% 41.70/27.29 inference(quant_inst,[status(thm)],[])).
% 41.70/27.29 tff(11758,plain,
% 41.70/27.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)),
% 41.70/27.29 inference(modus_ponens,[status(thm)],[11757, 11756])).
% 41.70/27.29 tff(11759,plain,
% 41.70/27.29 ((~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 41.70/27.29 inference(unit_resolution,[status(thm)],[11758, 907, 11610])).
% 41.70/27.29 tff(11760,plain,
% 41.70/27.29 (~v127(constB91, bitIndex0)),
% 41.70/27.29 inference(unit_resolution,[status(thm)],[11759, 11752])).
% 41.70/27.29 tff(11761,plain,
% 41.70/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 41.70/27.29 inference(rewrite,[status(thm)],[])).
% 41.70/27.29 tff(11762,plain,
% 41.70/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 41.70/27.29 inference(quant_inst,[status(thm)],[])).
% 41.70/27.29 tff(11763,plain,
% 41.70/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 41.70/27.29 inference(modus_ponens,[status(thm)],[11762, 11761])).
% 41.70/27.29 tff(11764,plain,
% 41.70/27.29 (v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 41.70/27.29 inference(unit_resolution,[status(thm)],[11763, 937, 11625])).
% 41.70/27.29 tff(11765,plain,
% 41.70/27.29 (~v129(constB92, bitIndex0)),
% 41.70/27.29 inference(unit_resolution,[status(thm)],[11764, 11760])).
% 41.70/27.29 tff(11766,plain,
% 41.70/27.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 41.70/27.29 inference(rewrite,[status(thm)],[])).
% 41.70/27.29 tff(11767,plain,
% 41.70/27.29 (((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 41.70/27.29 inference(rewrite,[status(thm)],[])).
% 41.70/27.29 tff(11768,plain,
% 41.70/27.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))))),
% 41.70/27.29 inference(monotonicity,[status(thm)],[11767])).
% 41.70/27.29 tff(11769,plain,
% 41.70/27.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 41.70/27.29 inference(transitivity,[status(thm)],[11768, 11766])).
% 41.70/27.29 tff(11770,plain,
% 41.70/27.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))),
% 41.70/27.29 inference(quant_inst,[status(thm)],[])).
% 41.70/27.29 tff(11771,plain,
% 41.70/27.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))),
% 41.70/27.29 inference(modus_ponens,[status(thm)],[11770, 11769])).
% 41.70/27.29 tff(11772,plain,
% 41.70/27.29 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 41.70/27.29 inference(unit_resolution,[status(thm)],[11771, 952, 11765])).
% 41.70/27.29 tff(11773,plain,
% 41.70/27.29 (~v90(constB92, bitIndex0)),
% 41.70/27.29 inference(unit_resolution,[status(thm)],[11772, 11665])).
% 41.70/27.29 tff(11774,plain,
% 41.70/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 41.70/27.29 inference(rewrite,[status(thm)],[])).
% 41.70/27.29 tff(11775,plain,
% 41.70/27.29 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 41.70/27.29 inference(rewrite,[status(thm)],[])).
% 41.70/27.29 tff(11776,plain,
% 41.70/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))))),
% 41.70/27.29 inference(monotonicity,[status(thm)],[11775])).
% 41.70/27.29 tff(11777,plain,
% 41.70/27.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 41.70/27.29 inference(transitivity,[status(thm)],[11776, 11774])).
% 41.70/27.29 tff(11778,plain,
% 41.70/27.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11779,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 41.70/27.30 tff(11780,plain,
% 41.70/27.30 (v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11779, 465, 11693])).
% 41.70/27.30 tff(11781,plain,
% 41.70/27.30 (v90(constB92, bitIndex0) | (~v90(constB93, bitIndex0))),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11780, 11705])).
% 41.70/27.30 tff(11782,plain,
% 41.70/27.30 (~v90(constB93, bitIndex0)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11781, 11773])).
% 41.70/27.30 tff(11783,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11784,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11785,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11784, 11783])).
% 41.70/27.30 tff(11786,plain,
% 41.70/27.30 (v123(constB93)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11785, 979, 11782, 11748, 11714])).
% 41.70/27.30 tff(11787,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11788,plain,
% 41.70/27.30 (((~v123(constB93)) | v115(constB93)) <=> (v115(constB93) | (~v123(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11789,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93))))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11788])).
% 41.70/27.30 tff(11790,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11789, 11787])).
% 41.70/27.30 tff(11791,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11792,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11791, 11790])).
% 41.70/27.30 tff(11793,plain,
% 41.70/27.30 (v115(constB93)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11792, 990, 11786])).
% 41.70/27.30 tff(11794,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11795,plain,
% 41.70/27.30 (((~v115(constB93)) | v114(constB93)) <=> (v114(constB93) | (~v115(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11796,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93))))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11795])).
% 41.70/27.30 tff(11797,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11796, 11794])).
% 41.70/27.30 tff(11798,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11799,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11798, 11797])).
% 41.70/27.30 tff(11800,plain,
% 41.70/27.30 (v114(constB93)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11799, 553, 11793])).
% 41.70/27.30 tff(11801,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11802,plain,
% 41.70/27.30 (((~v114(constB93)) | v113(constB93)) <=> (v113(constB93) | (~v114(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11803,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB93) | (~v114(constB93))))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11802])).
% 41.70/27.30 tff(11804,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93)))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11803, 11801])).
% 41.70/27.30 tff(11805,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11806,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11805, 11804])).
% 41.70/27.30 tff(11807,plain,
% 41.70/27.30 (v113(constB93)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11806, 567, 11800])).
% 41.70/27.30 tff(11808,assumption,(v26(constB93)), introduced(assumption)).
% 41.70/27.30 tff(11809,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11810,plain,
% 41.70/27.30 ($false),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11809, 95, 11808])).
% 41.70/27.30 tff(11811,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 41.70/27.30 tff(11812,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11813,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11814,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | (~v113(constB93)) | v112(constB93)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11813, 11812])).
% 41.70/27.30 tff(11815,plain,
% 41.70/27.30 ((~v113(constB93)) | v112(constB93)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11814, 581, 11811])).
% 41.70/27.30 tff(11816,plain,
% 41.70/27.30 (v112(constB93)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11815, 11807])).
% 41.70/27.30 tff(11817,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11818,plain,
% 41.70/27.30 (((~v112(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v112(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11819,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93))))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11818])).
% 41.70/27.30 tff(11820,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11819, 11817])).
% 41.70/27.30 tff(11821,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11822,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11821, 11820])).
% 41.70/27.30 tff(11823,plain,
% 41.70/27.30 (v108(constB93)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11822, 746, 11816])).
% 41.70/27.30 tff(11824,plain,
% 41.70/27.30 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11825,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 41.70/27.30 tff(11826,plain,
% 41.70/27.30 (nextState(constB93, constB94)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11825, 11824])).
% 41.70/27.30 tff(11827,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11828,plain,
% 41.70/27.30 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11829,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11828])).
% 41.70/27.30 tff(11830,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11829, 11827])).
% 41.70/27.30 tff(11831,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11832,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11831, 11830])).
% 41.70/27.30 tff(11833,plain,
% 41.70/27.30 (v110(constB94) | (~v108(constB93))),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11832, 731, 11826])).
% 41.70/27.30 tff(11834,plain,
% 41.70/27.30 (v110(constB94)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11833, 11823])).
% 41.70/27.30 tff(11835,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11836,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11837,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11836, 11835])).
% 41.70/27.30 tff(11838,plain,
% 41.70/27.30 (~v104(constB94)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11837, 659, 11826, 11690])).
% 41.70/27.30 tff(11839,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11840,plain,
% 41.70/27.30 (((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)) <=> ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11841,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94)))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11840])).
% 41.70/27.30 tff(11842,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11841, 11839])).
% 41.70/27.30 tff(11843,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11844,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11843, 11842])).
% 41.70/27.30 tff(11845,plain,
% 41.70/27.30 (v104(constB94) | v102(constB94)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11844, 673, 11826])).
% 41.70/27.30 tff(11846,plain,
% 41.70/27.30 (v102(constB94)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11845, 11838])).
% 41.70/27.30 tff(11847,plain,
% 41.70/27.30 (v1(constB94) <=> v1(constB94)),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11848,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 41.70/27.30 tff(11849,plain,
% 41.70/27.30 (v1(constB94)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11848, 11847])).
% 41.70/27.30 tff(11850,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11851,plain,
% 41.70/27.30 (((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))) <=> ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11852,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94))))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11851])).
% 41.70/27.30 tff(11853,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11852, 11850])).
% 41.70/27.30 tff(11854,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11855,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11854, 11853])).
% 41.70/27.30 tff(11856,plain,
% 41.70/27.30 (v101(constB94) | (~v102(constB94))),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11855, 694, 11826, 11849])).
% 41.70/27.30 tff(11857,plain,
% 41.70/27.30 (v101(constB94)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11856, 11846])).
% 41.70/27.30 tff(11858,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11859,plain,
% 41.70/27.30 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11860,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11859])).
% 41.70/27.30 tff(11861,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11860, 11858])).
% 41.70/27.30 tff(11862,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11863,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11862, 11861])).
% 41.70/27.30 tff(11864,plain,
% 41.70/27.30 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11863, 712, 11826])).
% 41.70/27.30 tff(11865,plain,
% 41.70/27.30 (v100(constB94) | (~v110(constB94))),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11864, 11857])).
% 41.70/27.30 tff(11866,plain,
% 41.70/27.30 (v100(constB94)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11865, 11834])).
% 41.70/27.30 tff(11867,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB93)) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB93)) | v130(constB93, bitIndex1))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11868,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB93)) | v130(constB93, bitIndex1))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11869,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB93)) | v130(constB93, bitIndex1)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11868, 11867])).
% 41.70/27.30 tff(11870,plain,
% 41.70/27.30 (v130(constB93, bitIndex1)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11869, 1130, 11786])).
% 41.70/27.30 tff(11871,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11872,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11873,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 41.70/27.30 tff(11874,plain,
% 41.70/27.30 ((~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11873, 1144, 11811])).
% 41.70/27.30 tff(11875,plain,
% 41.70/27.30 (v127(constB93, bitIndex1)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11874, 11870])).
% 41.70/27.30 tff(11876,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11877,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11878,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11877, 11876])).
% 41.70/27.30 tff(11879,plain,
% 41.70/27.30 ((~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11878, 1159, 11826])).
% 41.70/27.30 tff(11880,plain,
% 41.70/27.30 (v129(constB94, bitIndex1)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11879, 11875])).
% 41.70/27.30 tff(11881,plain,
% 41.70/27.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11882,plain,
% 41.70/27.30 ((v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1))) <=> (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11883,plain,
% 41.70/27.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94))))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11882])).
% 41.70/27.30 tff(11884,plain,
% 41.70/27.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11883, 11881])).
% 41.70/27.30 tff(11885,plain,
% 41.70/27.30 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11886,plain,
% 41.70/27.30 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11885, 11884])).
% 41.70/27.30 tff(11887,plain,
% 41.70/27.30 (v90(constB94, bitIndex1) | (~v100(constB94))),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11886, 1174, 11880])).
% 41.70/27.30 tff(11888,plain,
% 41.70/27.30 (v90(constB94, bitIndex1)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11887, 11866])).
% 41.70/27.30 tff(11889,plain,
% 41.70/27.30 ((~v1(constB95)) <=> (~v1(constB95))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11890,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 41.70/27.30 tff(11891,plain,
% 41.70/27.30 (~v1(constB95)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11890, 11889])).
% 41.70/27.30 tff(11892,plain,
% 41.70/27.30 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11893,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 41.70/27.30 tff(11894,plain,
% 41.70/27.30 (nextState(constB94, constB95)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 41.70/27.30 tff(11895,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11896,plain,
% 41.70/27.30 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11897,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11896])).
% 41.70/27.30 tff(11898,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11897, 11895])).
% 41.70/27.30 tff(11899,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11900,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11899, 11898])).
% 41.70/27.30 tff(11901,plain,
% 41.70/27.30 (~v101(constB95)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11900, 391, 11894, 11891])).
% 41.70/27.30 tff(11902,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11903,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11904,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11903, 11902])).
% 41.70/27.30 tff(11905,plain,
% 41.70/27.30 (v101(constB95) | (~v100(constB95))),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11904, 408, 11894])).
% 41.70/27.30 tff(11906,plain,
% 41.70/27.30 (~v100(constB95)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11905, 11901])).
% 41.70/27.30 tff(11907,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11908,plain,
% 41.70/27.30 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1)) <=> ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11909,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1)))),
% 41.70/27.30 inference(monotonicity,[status(thm)],[11908])).
% 41.70/27.30 tff(11910,plain,
% 41.70/27.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 41.70/27.30 inference(transitivity,[status(thm)],[11909, 11907])).
% 41.70/27.30 tff(11911,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11912,plain,
% 41.70/27.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11911, 11910])).
% 41.70/27.30 tff(11913,plain,
% 41.70/27.30 ((~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11912, 1192, 11894])).
% 41.70/27.30 tff(11914,plain,
% 41.70/27.30 ((~v90(constB94, bitIndex1)) | v90(constB95, bitIndex1)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11913, 11906])).
% 41.70/27.30 tff(11915,plain,
% 41.70/27.30 (v90(constB95, bitIndex1)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11914, 11888])).
% 41.70/27.30 tff(11916,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11917,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))),
% 41.70/27.30 inference(quant_inst,[status(thm)],[])).
% 41.70/27.30 tff(11918,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2)),
% 41.70/27.30 inference(modus_ponens,[status(thm)],[11917, 11916])).
% 41.70/27.30 tff(11919,plain,
% 41.70/27.30 (v130(constB93, bitIndex2)),
% 41.70/27.30 inference(unit_resolution,[status(thm)],[11918, 1074, 11786])).
% 41.70/27.30 tff(11920,plain,
% 41.70/27.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 41.70/27.30 inference(rewrite,[status(thm)],[])).
% 41.70/27.30 tff(11921,plain,
% 41.70/27.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(11922,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[11921, 11920])).
% 41.70/27.31 tff(11923,plain,
% 41.70/27.31 ((~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11922, 607, 11811])).
% 41.70/27.31 tff(11924,plain,
% 41.70/27.31 (v127(constB93, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11923, 11919])).
% 41.70/27.31 tff(11925,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11926,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(11927,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 41.70/27.31 tff(11928,plain,
% 41.70/27.31 ((~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11927, 625, 11826])).
% 41.70/27.31 tff(11929,plain,
% 41.70/27.31 (v129(constB94, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11928, 11924])).
% 41.70/27.31 tff(11930,plain,
% 41.70/27.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11931,plain,
% 41.70/27.31 ((v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11932,plain,
% 41.70/27.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[11931])).
% 41.70/27.31 tff(11933,plain,
% 41.70/27.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 41.70/27.31 inference(transitivity,[status(thm)],[11932, 11930])).
% 41.70/27.31 tff(11934,plain,
% 41.70/27.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(11935,plain,
% 41.70/27.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[11934, 11933])).
% 41.70/27.31 tff(11936,plain,
% 41.70/27.31 (v90(constB94, bitIndex2) | (~v100(constB94))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11935, 641, 11929])).
% 41.70/27.31 tff(11937,plain,
% 41.70/27.31 (v90(constB94, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11936, 11866])).
% 41.70/27.31 tff(11938,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11939,plain,
% 41.70/27.31 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11940,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[11939])).
% 41.70/27.31 tff(11941,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 41.70/27.31 inference(transitivity,[status(thm)],[11940, 11938])).
% 41.70/27.31 tff(11942,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(11943,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[11942, 11941])).
% 41.70/27.31 tff(11944,plain,
% 41.70/27.31 ((~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11943, 783, 11894])).
% 41.70/27.31 tff(11945,plain,
% 41.70/27.31 ((~v90(constB94, bitIndex2)) | v90(constB95, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11944, 11906])).
% 41.70/27.31 tff(11946,plain,
% 41.70/27.31 (v90(constB95, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11945, 11937])).
% 41.70/27.31 tff(11947,assumption,(v122(constB91)), introduced(assumption)).
% 41.70/27.31 tff(11948,plain,
% 41.70/27.31 (v116(constB91)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11584, 2140, 11947])).
% 41.70/27.31 tff(11949,plain,
% 41.70/27.31 (v115(constB91)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11591, 539, 11948])).
% 41.70/27.31 tff(11950,plain,
% 41.70/27.31 (v114(constB91)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11598, 553, 11949])).
% 41.70/27.31 tff(11951,plain,
% 41.70/27.31 (v113(constB91)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11605, 567, 11950])).
% 41.70/27.31 tff(11952,plain,
% 41.70/27.31 (v112(constB91)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11614, 11951])).
% 41.70/27.31 tff(11953,plain,
% 41.70/27.31 (v108(constB91)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11621, 746, 11952])).
% 41.70/27.31 tff(11954,plain,
% 41.70/27.31 (v110(constB92)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11632, 11953])).
% 41.70/27.31 tff(11955,plain,
% 41.70/27.31 (v100(constB92)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11664, 11954])).
% 41.70/27.31 tff(11956,plain,
% 41.70/27.31 (v130(constB91, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11668, 2224, 11947])).
% 41.70/27.31 tff(11957,plain,
% 41.70/27.31 (v127(constB91, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11673, 11956])).
% 41.70/27.31 tff(11958,plain,
% 41.70/27.31 (v129(constB92, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11678, 11957])).
% 41.70/27.31 tff(11959,plain,
% 41.70/27.31 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11685, 641, 11958])).
% 41.70/27.31 tff(11960,plain,
% 41.70/27.31 (v90(constB92, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11959, 11955])).
% 41.70/27.31 tff(11961,plain,
% 41.70/27.31 (v90(constB93, bitIndex2)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11713, 11960])).
% 41.70/27.31 tff(11962,plain,
% 41.70/27.31 (~v130(constB91, bitIndex1)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11717, 2281, 11947])).
% 41.70/27.31 tff(11963,plain,
% 41.70/27.31 (~v127(constB91, bitIndex1)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11725, 11962])).
% 41.70/27.31 tff(11964,plain,
% 41.70/27.31 (~v129(constB92, bitIndex1)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11730, 11963])).
% 41.70/27.31 tff(11965,plain,
% 41.70/27.31 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11737, 868, 11964])).
% 41.70/27.31 tff(11966,plain,
% 41.70/27.31 (~v90(constB92, bitIndex1)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11965, 11955])).
% 41.70/27.31 tff(11967,plain,
% 41.70/27.31 (~v90(constB93, bitIndex1)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11747, 11966])).
% 41.70/27.31 tff(11968,plain,
% 41.70/27.31 (~v130(constB91, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11751, 2327, 11947])).
% 41.70/27.31 tff(11969,plain,
% 41.70/27.31 (~v127(constB91, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11759, 11968])).
% 41.70/27.31 tff(11970,plain,
% 41.70/27.31 (~v129(constB92, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11764, 11969])).
% 41.70/27.31 tff(11971,plain,
% 41.70/27.31 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11771, 952, 11970])).
% 41.70/27.31 tff(11972,plain,
% 41.70/27.31 (~v90(constB92, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11971, 11955])).
% 41.70/27.31 tff(11973,plain,
% 41.70/27.31 (~v90(constB93, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11781, 11972])).
% 41.70/27.31 tff(11974,plain,
% 41.70/27.31 (v123(constB93)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11785, 979, 11973, 11967, 11961])).
% 41.70/27.31 tff(11975,assumption,(v90(constB94, bitIndex0)), introduced(assumption)).
% 41.70/27.31 tff(11976,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11977,plain,
% 41.70/27.31 (((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0))) <=> (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11978,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0))))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[11977])).
% 41.70/27.31 tff(11979,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 41.70/27.31 inference(transitivity,[status(thm)],[11978, 11976])).
% 41.70/27.31 tff(11980,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(11981,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[11980, 11979])).
% 41.70/27.31 tff(11982,plain,
% 41.70/27.31 (v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11981, 465, 11826])).
% 41.70/27.31 tff(11983,plain,
% 41.70/27.31 (v100(constB94)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11982, 11973, 11975])).
% 41.70/27.31 tff(11984,plain,
% 41.70/27.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11985,plain,
% 41.70/27.31 (((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11986,plain,
% 41.70/27.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94))))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[11985])).
% 41.70/27.31 tff(11987,plain,
% 41.70/27.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 41.70/27.31 inference(transitivity,[status(thm)],[11986, 11984])).
% 41.70/27.31 tff(11988,plain,
% 41.70/27.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(11989,plain,
% 41.70/27.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[11988, 11987])).
% 41.70/27.31 tff(11990,plain,
% 41.70/27.31 (v129(constB94, bitIndex0) | (~v100(constB94))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11989, 952, 11975])).
% 41.70/27.31 tff(11991,plain,
% 41.70/27.31 (v129(constB94, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11990, 11983])).
% 41.70/27.31 tff(11992,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11993,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(11994,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[11993, 11992])).
% 41.70/27.31 tff(11995,plain,
% 41.70/27.31 (v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11994, 937, 11826])).
% 41.70/27.31 tff(11996,plain,
% 41.70/27.31 (v127(constB93, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[11995, 11991])).
% 41.70/27.31 tff(11997,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11998,plain,
% 41.70/27.31 ((v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0))) <=> ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(11999,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0)))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[11998])).
% 41.70/27.31 tff(12000,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 41.70/27.31 inference(transitivity,[status(thm)],[11999, 11997])).
% 41.70/27.31 tff(12001,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(12002,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0)),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[12001, 12000])).
% 41.70/27.31 tff(12003,plain,
% 41.70/27.31 ((~v127(constB93, bitIndex0)) | v130(constB93, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12002, 907, 11811])).
% 41.70/27.31 tff(12004,plain,
% 41.70/27.31 (v130(constB93, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12003, 11996])).
% 41.70/27.31 tff(12005,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB93)) | (~v130(constB93, bitIndex0)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12006,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex0)))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(12007,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB93)) | (~v130(constB93, bitIndex0))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[12006, 12005])).
% 41.70/27.31 tff(12008,plain,
% 41.70/27.31 ($false),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12007, 1208, 12004, 11974])).
% 41.70/27.31 tff(12009,plain,((~v122(constB91)) | (~v90(constB94, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 41.70/27.31 tff(12010,plain,
% 41.70/27.31 (~v90(constB94, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12009, 11581])).
% 41.70/27.31 tff(12011,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12012,plain,
% 41.70/27.31 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12013,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0))))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[12012])).
% 41.70/27.31 tff(12014,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 41.70/27.31 inference(transitivity,[status(thm)],[12013, 12011])).
% 41.70/27.31 tff(12015,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(12016,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 41.70/27.31 tff(12017,plain,
% 41.70/27.31 (v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12016, 465, 11894])).
% 41.70/27.31 tff(12018,plain,
% 41.70/27.31 (v90(constB94, bitIndex0) | (~v90(constB95, bitIndex0))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12017, 11906])).
% 41.70/27.31 tff(12019,plain,
% 41.70/27.31 (~v90(constB95, bitIndex0)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12018, 12010])).
% 41.70/27.31 tff(12020,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12021,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(12022,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95)),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[12021, 12020])).
% 41.70/27.31 tff(12023,plain,
% 41.70/27.31 ((~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12022, 1252, 12019])).
% 41.70/27.31 tff(12024,plain,
% 41.70/27.31 (v125(constB95)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12023, 11946, 11915])).
% 41.70/27.31 tff(12025,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB95) | (~v125(constB95)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v125(constB95)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12026,plain,
% 41.70/27.31 (((~v125(constB95)) | v113(constB95)) <=> (v113(constB95) | (~v125(constB95)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12027,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB95) | (~v125(constB95))))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[12026])).
% 41.70/27.31 tff(12028,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v125(constB95)))),
% 41.70/27.31 inference(transitivity,[status(thm)],[12027, 12025])).
% 41.70/27.31 tff(12029,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB95)) | v113(constB95))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(12030,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v125(constB95))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[12029, 12028])).
% 41.70/27.31 tff(12031,plain,
% 41.70/27.31 (v113(constB95)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12030, 1263, 12024])).
% 41.70/27.31 tff(12032,assumption,(v26(constB95)), introduced(assumption)).
% 41.70/27.31 tff(12033,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(12034,plain,
% 41.70/27.31 ($false),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12033, 95, 12032])).
% 41.70/27.31 tff(12035,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 41.70/27.31 tff(12036,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12037,plain,
% 41.70/27.31 ((v26(constB95) | (~v113(constB95)) | v112(constB95)) <=> (v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12038,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95))))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[12037])).
% 41.70/27.31 tff(12039,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 41.70/27.31 inference(transitivity,[status(thm)],[12038, 12036])).
% 41.70/27.31 tff(12040,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(12041,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[12040, 12039])).
% 41.70/27.31 tff(12042,plain,
% 41.70/27.31 (v112(constB95) | (~v113(constB95))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12041, 581, 12035])).
% 41.70/27.31 tff(12043,plain,
% 41.70/27.31 (v112(constB95)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12042, 12031])).
% 41.70/27.31 tff(12044,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12045,plain,
% 41.70/27.31 (((~v112(constB95)) | v108(constB95)) <=> (v108(constB95) | (~v112(constB95)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12046,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95))))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[12045])).
% 41.70/27.31 tff(12047,plain,
% 41.70/27.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 41.70/27.31 inference(transitivity,[status(thm)],[12046, 12044])).
% 41.70/27.31 tff(12048,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(12049,plain,
% 41.70/27.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[12048, 12047])).
% 41.70/27.31 tff(12050,plain,
% 41.70/27.31 (v108(constB95)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12049, 746, 12043])).
% 41.70/27.31 tff(12051,plain,
% 41.70/27.31 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12052,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 41.70/27.31 tff(12053,plain,
% 41.70/27.31 (nextState(constB95, constB96)),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[12052, 12051])).
% 41.70/27.31 tff(12054,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12055,plain,
% 41.70/27.31 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 41.70/27.31 inference(rewrite,[status(thm)],[])).
% 41.70/27.31 tff(12056,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 41.70/27.31 inference(monotonicity,[status(thm)],[12055])).
% 41.70/27.31 tff(12057,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 41.70/27.31 inference(transitivity,[status(thm)],[12056, 12054])).
% 41.70/27.31 tff(12058,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 41.70/27.31 inference(quant_inst,[status(thm)],[])).
% 41.70/27.31 tff(12059,plain,
% 41.70/27.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 41.70/27.31 inference(modus_ponens,[status(thm)],[12058, 12057])).
% 41.70/27.31 tff(12060,plain,
% 41.70/27.31 (v110(constB96) | (~v108(constB95))),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12059, 731, 12053])).
% 41.70/27.31 tff(12061,plain,
% 41.70/27.31 (v110(constB96)),
% 41.70/27.31 inference(unit_resolution,[status(thm)],[12060, 12050])).
% 41.70/27.31 tff(12062,plain,
% 41.70/27.31 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12063,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12064,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12063, 12062])).
% 41.70/27.32 tff(12065,plain,
% 41.70/27.32 (~v104(constB96)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12064, 659, 12053, 11891])).
% 41.70/27.32 tff(12066,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12067,plain,
% 41.70/27.32 (((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)) <=> ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12068,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96)))),
% 41.70/27.32 inference(monotonicity,[status(thm)],[12067])).
% 41.70/27.32 tff(12069,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 41.70/27.32 inference(transitivity,[status(thm)],[12068, 12066])).
% 41.70/27.32 tff(12070,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12071,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96)),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12070, 12069])).
% 41.70/27.32 tff(12072,plain,
% 41.70/27.32 (v104(constB96) | v102(constB96)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12071, 673, 12053])).
% 41.70/27.32 tff(12073,plain,
% 41.70/27.32 (v102(constB96)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12072, 12065])).
% 41.70/27.32 tff(12074,plain,
% 41.70/27.32 (v1(constB96) <=> v1(constB96)),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12075,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 41.70/27.32 tff(12076,plain,
% 41.70/27.32 (v1(constB96)),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12075, 12074])).
% 41.70/27.32 tff(12077,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12078,plain,
% 41.70/27.32 (((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))) <=> ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12079,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96))))),
% 41.70/27.32 inference(monotonicity,[status(thm)],[12078])).
% 41.70/27.32 tff(12080,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 41.70/27.32 inference(transitivity,[status(thm)],[12079, 12077])).
% 41.70/27.32 tff(12081,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12082,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12081, 12080])).
% 41.70/27.32 tff(12083,plain,
% 41.70/27.32 (v101(constB96) | (~v102(constB96))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12082, 694, 12053, 12076])).
% 41.70/27.32 tff(12084,plain,
% 41.70/27.32 (v101(constB96)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12083, 12073])).
% 41.70/27.32 tff(12085,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12086,plain,
% 41.70/27.32 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12087,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 41.70/27.32 inference(monotonicity,[status(thm)],[12086])).
% 41.70/27.32 tff(12088,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 41.70/27.32 inference(transitivity,[status(thm)],[12087, 12085])).
% 41.70/27.32 tff(12089,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12090,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12089, 12088])).
% 41.70/27.32 tff(12091,plain,
% 41.70/27.32 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12090, 712, 12053])).
% 41.70/27.32 tff(12092,plain,
% 41.70/27.32 (v100(constB96) | (~v110(constB96))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12091, 12084])).
% 41.70/27.32 tff(12093,plain,
% 41.70/27.32 (v100(constB96)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12092, 12061])).
% 41.70/27.32 tff(12094,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB95)) | (~v90(constB95, bitIndex1)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12095,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex1)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12096,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB95)) | (~v90(constB95, bitIndex1))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 41.70/27.32 tff(12097,plain,
% 41.70/27.32 (~v119(constB95)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12096, 1380, 11915])).
% 41.70/27.32 tff(12098,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB95)) | (~v90(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB95)) | (~v90(constB95, bitIndex2)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12099,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB95)) | (~v90(constB95, bitIndex2)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12100,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB95)) | (~v90(constB95, bitIndex2))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12099, 12098])).
% 41.70/27.32 tff(12101,plain,
% 41.70/27.32 (~v121(constB95)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12100, 1336, 11946])).
% 41.70/27.32 tff(12102,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB95)) | (~v90(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB95)) | (~v90(constB95, bitIndex1)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12103,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB95)) | (~v90(constB95, bitIndex1)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12104,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB95)) | (~v90(constB95, bitIndex1))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12103, 12102])).
% 41.70/27.32 tff(12105,plain,
% 41.70/27.32 (~v123(constB95)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12104, 1358, 11915])).
% 41.70/27.32 tff(12106,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB95)) | v90(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB95)) | v90(constB95, bitIndex0))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12107,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB95)) | v90(constB95, bitIndex0))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12108,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB95)) | v90(constB95, bitIndex0)),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12107, 12106])).
% 41.70/27.32 tff(12109,plain,
% 41.70/27.32 (~v124(constB95)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12108, 10973, 12019])).
% 41.70/27.32 tff(12110,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB95)) | v90(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB95)) | v90(constB95, bitIndex0))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12111,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB95)) | v90(constB95, bitIndex0))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12112,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB95)) | v90(constB95, bitIndex0)),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 41.70/27.32 tff(12113,plain,
% 41.70/27.32 (~v120(constB95)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12112, 10958, 12019])).
% 41.70/27.32 tff(12114,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB95)) | v90(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB95)) | v90(constB95, bitIndex0))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12115,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB95)) | v90(constB95, bitIndex0))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12116,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB95)) | v90(constB95, bitIndex0)),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 41.70/27.32 tff(12117,plain,
% 41.70/27.32 (~v122(constB95)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12116, 4538, 12019])).
% 41.70/27.32 tff(12118,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12119,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12120,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12119, 12118])).
% 41.70/27.32 tff(12121,plain,
% 41.70/27.32 (v119(constB95) | v121(constB95) | v123(constB95) | (~v130(constB95, bitIndex2))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12120, 1405, 12117, 12113, 12109])).
% 41.70/27.32 tff(12122,plain,
% 41.70/27.32 (~v130(constB95, bitIndex2)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12121, 12105, 12101, 12097])).
% 41.70/27.32 tff(12123,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12124,plain,
% 41.70/27.32 ((v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2))) <=> ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12125,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2)))),
% 41.70/27.32 inference(monotonicity,[status(thm)],[12124])).
% 41.70/27.32 tff(12126,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 41.70/27.32 inference(transitivity,[status(thm)],[12125, 12123])).
% 41.70/27.32 tff(12127,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12128,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2)),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12127, 12126])).
% 41.70/27.32 tff(12129,plain,
% 41.70/27.32 ((~v127(constB95, bitIndex2)) | v130(constB95, bitIndex2)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12128, 1419, 12035])).
% 41.70/27.32 tff(12130,plain,
% 41.70/27.32 (~v127(constB95, bitIndex2)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12129, 12122])).
% 41.70/27.32 tff(12131,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12132,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12133,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12132, 12131])).
% 41.70/27.32 tff(12134,plain,
% 41.70/27.32 (v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12133, 1437, 12053])).
% 41.70/27.32 tff(12135,plain,
% 41.70/27.32 (~v129(constB96, bitIndex2)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12134, 12130])).
% 41.70/27.32 tff(12136,plain,
% 41.70/27.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12137,plain,
% 41.70/27.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12138,plain,
% 41.70/27.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12137, 12136])).
% 41.70/27.32 tff(12139,plain,
% 41.70/27.32 ((~v90(constB96, bitIndex2)) | (~v100(constB96))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12138, 1452, 12135])).
% 41.70/27.32 tff(12140,plain,
% 41.70/27.32 (~v90(constB96, bitIndex2)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12139, 12093])).
% 41.70/27.32 tff(12141,plain,
% 41.70/27.32 ((~v1(constB97)) <=> (~v1(constB97))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12142,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 41.70/27.32 tff(12143,plain,
% 41.70/27.32 (~v1(constB97)),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12142, 12141])).
% 41.70/27.32 tff(12144,plain,
% 41.70/27.32 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12145,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 41.70/27.32 tff(12146,plain,
% 41.70/27.32 (nextState(constB96, constB97)),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12145, 12144])).
% 41.70/27.32 tff(12147,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12148,plain,
% 41.70/27.32 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12149,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 41.70/27.32 inference(monotonicity,[status(thm)],[12148])).
% 41.70/27.32 tff(12150,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 41.70/27.32 inference(transitivity,[status(thm)],[12149, 12147])).
% 41.70/27.32 tff(12151,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12152,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12151, 12150])).
% 41.70/27.32 tff(12153,plain,
% 41.70/27.32 (~v101(constB97)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12152, 391, 12146, 12143])).
% 41.70/27.32 tff(12154,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12155,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12156,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12155, 12154])).
% 41.70/27.32 tff(12157,plain,
% 41.70/27.32 (v101(constB97) | (~v100(constB97))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12156, 408, 12146])).
% 41.70/27.32 tff(12158,plain,
% 41.70/27.32 (~v100(constB97)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12157, 12153])).
% 41.70/27.32 tff(12159,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12160,plain,
% 41.70/27.32 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2))) <=> (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12161,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2))))),
% 41.70/27.32 inference(monotonicity,[status(thm)],[12160])).
% 41.70/27.32 tff(12162,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 41.70/27.32 inference(transitivity,[status(thm)],[12161, 12159])).
% 41.70/27.32 tff(12163,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12164,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12163, 12162])).
% 41.70/27.32 tff(12165,plain,
% 41.70/27.32 (v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12164, 423, 12146])).
% 41.70/27.32 tff(12166,plain,
% 41.70/27.32 (v90(constB96, bitIndex2) | (~v90(constB97, bitIndex2))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12165, 12158])).
% 41.70/27.32 tff(12167,plain,
% 41.70/27.32 (~v90(constB97, bitIndex2)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12166, 12140])).
% 41.70/27.32 tff(12168,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12169,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12170,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12169, 12168])).
% 41.70/27.32 tff(12171,plain,
% 41.70/27.32 (v119(constB95) | v121(constB95) | v123(constB95) | (~v130(constB95, bitIndex1))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12170, 1494, 12117, 12113, 12109])).
% 41.70/27.32 tff(12172,plain,
% 41.70/27.32 (~v130(constB95, bitIndex1)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12171, 12105, 12101, 12097])).
% 41.70/27.32 tff(12173,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12174,plain,
% 41.70/27.32 ((v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1))) <=> ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12175,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1)))),
% 41.70/27.32 inference(monotonicity,[status(thm)],[12174])).
% 41.70/27.32 tff(12176,plain,
% 41.70/27.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 41.70/27.32 inference(transitivity,[status(thm)],[12175, 12173])).
% 41.70/27.32 tff(12177,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12178,plain,
% 41.70/27.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1)),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12177, 12176])).
% 41.70/27.32 tff(12179,plain,
% 41.70/27.32 ((~v127(constB95, bitIndex1)) | v130(constB95, bitIndex1)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12178, 823, 12035])).
% 41.70/27.32 tff(12180,plain,
% 41.70/27.32 (~v127(constB95, bitIndex1)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12179, 12172])).
% 41.70/27.32 tff(12181,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12182,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12183,plain,
% 41.70/27.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12182, 12181])).
% 41.70/27.32 tff(12184,plain,
% 41.70/27.32 (v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12183, 853, 12053])).
% 41.70/27.32 tff(12185,plain,
% 41.70/27.32 (~v129(constB96, bitIndex1)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12184, 12180])).
% 41.70/27.32 tff(12186,plain,
% 41.70/27.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12187,plain,
% 41.70/27.32 (((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1)) <=> ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12188,plain,
% 41.70/27.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96))))),
% 41.70/27.32 inference(monotonicity,[status(thm)],[12187])).
% 41.70/27.32 tff(12189,plain,
% 41.70/27.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 41.70/27.32 inference(transitivity,[status(thm)],[12188, 12186])).
% 41.70/27.32 tff(12190,plain,
% 41.70/27.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))),
% 41.70/27.32 inference(quant_inst,[status(thm)],[])).
% 41.70/27.32 tff(12191,plain,
% 41.70/27.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96))),
% 41.70/27.32 inference(modus_ponens,[status(thm)],[12190, 12189])).
% 41.70/27.32 tff(12192,plain,
% 41.70/27.32 ((~v90(constB96, bitIndex1)) | (~v100(constB96))),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12191, 868, 12185])).
% 41.70/27.32 tff(12193,plain,
% 41.70/27.32 (~v90(constB96, bitIndex1)),
% 41.70/27.32 inference(unit_resolution,[status(thm)],[12192, 12093])).
% 41.70/27.32 tff(12194,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12195,plain,
% 41.70/27.32 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 41.70/27.32 inference(rewrite,[status(thm)],[])).
% 41.70/27.32 tff(12196,plain,
% 41.70/27.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12195])).
% 41.70/27.33 tff(12197,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12196, 12194])).
% 41.70/27.33 tff(12198,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12199,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12198, 12197])).
% 41.70/27.33 tff(12200,plain,
% 41.70/27.33 (v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1))),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12199, 444, 12146])).
% 41.70/27.33 tff(12201,plain,
% 41.70/27.33 (v90(constB96, bitIndex1) | (~v90(constB97, bitIndex1))),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12200, 12158])).
% 41.70/27.33 tff(12202,plain,
% 41.70/27.33 (~v90(constB97, bitIndex1)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12201, 12193])).
% 41.70/27.33 tff(12203,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12204,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12205,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12204, 12203])).
% 41.70/27.33 tff(12206,plain,
% 41.70/27.33 (v119(constB95) | v121(constB95) | v123(constB95) | v130(constB95, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12205, 1538, 12117, 12113, 12109])).
% 41.70/27.33 tff(12207,plain,
% 41.70/27.33 (v130(constB95, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12206, 12105, 12101, 12097])).
% 41.70/27.33 tff(12208,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12209,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12210,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12209, 12208])).
% 41.70/27.33 tff(12211,plain,
% 41.70/27.33 ((~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12210, 1552, 12035])).
% 41.70/27.33 tff(12212,plain,
% 41.70/27.33 (v127(constB95, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12211, 12207])).
% 41.70/27.33 tff(12213,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12214,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12215,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12214, 12213])).
% 41.70/27.33 tff(12216,plain,
% 41.70/27.33 ((~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12215, 1567, 12053])).
% 41.70/27.33 tff(12217,plain,
% 41.70/27.33 (v129(constB96, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12216, 12212])).
% 41.70/27.33 tff(12218,plain,
% 41.70/27.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12219,plain,
% 41.70/27.33 ((v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0))) <=> (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12220,plain,
% 41.70/27.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12219])).
% 41.70/27.33 tff(12221,plain,
% 41.70/27.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12220, 12218])).
% 41.70/27.33 tff(12222,plain,
% 41.70/27.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12223,plain,
% 41.70/27.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12222, 12221])).
% 41.70/27.33 tff(12224,plain,
% 41.70/27.33 (v90(constB96, bitIndex0) | (~v100(constB96))),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12223, 1582, 12217])).
% 41.70/27.33 tff(12225,plain,
% 41.70/27.33 (v90(constB96, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12224, 12093])).
% 41.70/27.33 tff(12226,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12227,plain,
% 41.70/27.33 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0)) <=> ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12228,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0)))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12227])).
% 41.70/27.33 tff(12229,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12228, 12226])).
% 41.70/27.33 tff(12230,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12231,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 41.70/27.33 tff(12232,plain,
% 41.70/27.33 ((~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12231, 1600, 12146])).
% 41.70/27.33 tff(12233,plain,
% 41.70/27.33 ((~v90(constB96, bitIndex0)) | v90(constB97, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12232, 12158])).
% 41.70/27.33 tff(12234,plain,
% 41.70/27.33 (v90(constB97, bitIndex0)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12233, 12225])).
% 41.70/27.33 tff(12235,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12236,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12237,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12236, 12235])).
% 41.70/27.33 tff(12238,plain,
% 41.70/27.33 (v120(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12237, 1619, 12234, 12202, 12167])).
% 41.70/27.33 tff(12239,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB97)) | v118(constB97))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB97)) | v118(constB97))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12240,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB97)) | v118(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12241,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB97)) | v118(constB97)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 41.70/27.33 tff(12242,plain,
% 41.70/27.33 (v118(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12241, 1630, 12238])).
% 41.70/27.33 tff(12243,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB97) | (~v118(constB97)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB97) | (~v118(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12244,plain,
% 41.70/27.33 (((~v118(constB97)) | v117(constB97)) <=> (v117(constB97) | (~v118(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12245,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB97)) | v117(constB97))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB97) | (~v118(constB97))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12244])).
% 41.70/27.33 tff(12246,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB97)) | v117(constB97))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB97) | (~v118(constB97)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12245, 12243])).
% 41.70/27.33 tff(12247,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB97)) | v117(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12248,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB97) | (~v118(constB97))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12247, 12246])).
% 41.70/27.33 tff(12249,plain,
% 41.70/27.33 (v117(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12248, 511, 12242])).
% 41.70/27.33 tff(12250,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB97) | (~v117(constB97)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v117(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12251,plain,
% 41.70/27.33 (((~v117(constB97)) | v116(constB97)) <=> (v116(constB97) | (~v117(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12252,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB97)) | v116(constB97))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB97) | (~v117(constB97))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12251])).
% 41.70/27.33 tff(12253,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB97)) | v116(constB97))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v117(constB97)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12252, 12250])).
% 41.70/27.33 tff(12254,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB97)) | v116(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12255,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v117(constB97))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12254, 12253])).
% 41.70/27.33 tff(12256,plain,
% 41.70/27.33 (v116(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12255, 525, 12249])).
% 41.70/27.33 tff(12257,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB97) | (~v116(constB97)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB97) | (~v116(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12258,plain,
% 41.70/27.33 (((~v116(constB97)) | v115(constB97)) <=> (v115(constB97) | (~v116(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12259,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB97)) | v115(constB97))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB97) | (~v116(constB97))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12258])).
% 41.70/27.33 tff(12260,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB97)) | v115(constB97))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB97) | (~v116(constB97)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12259, 12257])).
% 41.70/27.33 tff(12261,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB97)) | v115(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12262,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB97) | (~v116(constB97))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12261, 12260])).
% 41.70/27.33 tff(12263,plain,
% 41.70/27.33 (v115(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12262, 539, 12256])).
% 41.70/27.33 tff(12264,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB97) | (~v115(constB97)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB97) | (~v115(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12265,plain,
% 41.70/27.33 (((~v115(constB97)) | v114(constB97)) <=> (v114(constB97) | (~v115(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12266,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB97)) | v114(constB97))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB97) | (~v115(constB97))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12265])).
% 41.70/27.33 tff(12267,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB97)) | v114(constB97))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB97) | (~v115(constB97)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12266, 12264])).
% 41.70/27.33 tff(12268,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB97)) | v114(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12269,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB97) | (~v115(constB97))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12268, 12267])).
% 41.70/27.33 tff(12270,plain,
% 41.70/27.33 (v114(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12269, 553, 12263])).
% 41.70/27.33 tff(12271,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB97)) | v113(constB97))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12272,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB97)) | v113(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12273,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB97)) | v113(constB97)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12272, 12271])).
% 41.70/27.33 tff(12274,plain,
% 41.70/27.33 (v113(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12273, 567, 12270])).
% 41.70/27.33 tff(12275,assumption,(v26(constB97)), introduced(assumption)).
% 41.70/27.33 tff(12276,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12277,plain,
% 41.70/27.33 ($false),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12276, 95, 12275])).
% 41.70/27.33 tff(12278,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 41.70/27.33 tff(12279,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12280,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12281,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12280, 12279])).
% 41.70/27.33 tff(12282,plain,
% 41.70/27.33 ((~v113(constB97)) | v112(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12281, 581, 12278])).
% 41.70/27.33 tff(12283,plain,
% 41.70/27.33 (v112(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12282, 12274])).
% 41.70/27.33 tff(12284,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12285,plain,
% 41.70/27.33 (((~v112(constB97)) | v108(constB97)) <=> (v108(constB97) | (~v112(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12286,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12285])).
% 41.70/27.33 tff(12287,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12286, 12284])).
% 41.70/27.33 tff(12288,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12289,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12288, 12287])).
% 41.70/27.33 tff(12290,plain,
% 41.70/27.33 (v108(constB97)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12289, 746, 12283])).
% 41.70/27.33 tff(12291,plain,
% 41.70/27.33 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12292,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 41.70/27.33 tff(12293,plain,
% 41.70/27.33 (nextState(constB97, constB98)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12292, 12291])).
% 41.70/27.33 tff(12294,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12295,plain,
% 41.70/27.33 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12296,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12295])).
% 41.70/27.33 tff(12297,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12296, 12294])).
% 41.70/27.33 tff(12298,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12299,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12298, 12297])).
% 41.70/27.33 tff(12300,plain,
% 41.70/27.33 (v110(constB98) | (~v108(constB97))),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12299, 731, 12293])).
% 41.70/27.33 tff(12301,plain,
% 41.70/27.33 (v110(constB98)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12300, 12290])).
% 41.70/27.33 tff(12302,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12303,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12304,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12303, 12302])).
% 41.70/27.33 tff(12305,plain,
% 41.70/27.33 (~v104(constB98)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12304, 659, 12293, 12143])).
% 41.70/27.33 tff(12306,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12307,plain,
% 41.70/27.33 (((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)) <=> ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12308,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98)))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12307])).
% 41.70/27.33 tff(12309,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12308, 12306])).
% 41.70/27.33 tff(12310,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12311,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 41.70/27.33 tff(12312,plain,
% 41.70/27.33 (v104(constB98) | v102(constB98)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12311, 673, 12293])).
% 41.70/27.33 tff(12313,plain,
% 41.70/27.33 (v102(constB98)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12312, 12305])).
% 41.70/27.33 tff(12314,plain,
% 41.70/27.33 (v1(constB98) <=> v1(constB98)),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12315,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 41.70/27.33 tff(12316,plain,
% 41.70/27.33 (v1(constB98)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12315, 12314])).
% 41.70/27.33 tff(12317,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12318,plain,
% 41.70/27.33 (((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))) <=> ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12319,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12318])).
% 41.70/27.33 tff(12320,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12319, 12317])).
% 41.70/27.33 tff(12321,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12322,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 41.70/27.33 tff(12323,plain,
% 41.70/27.33 (v101(constB98) | (~v102(constB98))),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12322, 694, 12293, 12316])).
% 41.70/27.33 tff(12324,plain,
% 41.70/27.33 (v101(constB98)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12323, 12313])).
% 41.70/27.33 tff(12325,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12326,plain,
% 41.70/27.33 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12327,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12326])).
% 41.70/27.33 tff(12328,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12327, 12325])).
% 41.70/27.33 tff(12329,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12330,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12329, 12328])).
% 41.70/27.33 tff(12331,plain,
% 41.70/27.33 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12330, 712, 12293])).
% 41.70/27.33 tff(12332,plain,
% 41.70/27.33 (v100(constB98) | (~v110(constB98))),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12331, 12324])).
% 41.70/27.33 tff(12333,plain,
% 41.70/27.33 (v100(constB98)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12332, 12301])).
% 41.70/27.33 tff(12334,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB97)) | (~v130(constB97, bitIndex2)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12335,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex2)))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12336,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB97)) | (~v130(constB97, bitIndex2))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12335, 12334])).
% 41.70/27.33 tff(12337,plain,
% 41.70/27.33 (~v130(constB97, bitIndex2)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12336, 1732, 12238])).
% 41.70/27.33 tff(12338,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12339,plain,
% 41.70/27.33 ((v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2))) <=> ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12340,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)))),
% 41.70/27.33 inference(monotonicity,[status(thm)],[12339])).
% 41.70/27.33 tff(12341,plain,
% 41.70/27.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 41.70/27.33 inference(transitivity,[status(thm)],[12340, 12338])).
% 41.70/27.33 tff(12342,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12343,plain,
% 41.70/27.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 41.70/27.33 tff(12344,plain,
% 41.70/27.33 ((~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12343, 1419, 12278])).
% 41.70/27.33 tff(12345,plain,
% 41.70/27.33 (~v127(constB97, bitIndex2)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12344, 12337])).
% 41.70/27.33 tff(12346,plain,
% 41.70/27.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 41.70/27.33 inference(rewrite,[status(thm)],[])).
% 41.70/27.33 tff(12347,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 41.70/27.33 inference(quant_inst,[status(thm)],[])).
% 41.70/27.33 tff(12348,plain,
% 41.70/27.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 41.70/27.33 inference(modus_ponens,[status(thm)],[12347, 12346])).
% 41.70/27.33 tff(12349,plain,
% 41.70/27.33 (v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12348, 1437, 12293])).
% 41.70/27.33 tff(12350,plain,
% 41.70/27.33 (~v129(constB98, bitIndex2)),
% 41.70/27.33 inference(unit_resolution,[status(thm)],[12349, 12345])).
% 41.70/27.33 tff(12351,plain,
% 41.70/27.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12352,plain,
% 41.70/27.34 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12353,plain,
% 41.70/27.34 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12352, 12351])).
% 41.70/27.34 tff(12354,plain,
% 41.70/27.34 ((~v90(constB98, bitIndex2)) | (~v100(constB98))),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12353, 1452, 12350])).
% 41.70/27.34 tff(12355,plain,
% 41.70/27.34 (~v90(constB98, bitIndex2)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12354, 12333])).
% 41.70/27.34 tff(12356,plain,
% 41.70/27.34 ((~v1(constB99)) <=> (~v1(constB99))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12357,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 41.70/27.34 tff(12358,plain,
% 41.70/27.34 (~v1(constB99)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12357, 12356])).
% 41.70/27.34 tff(12359,plain,
% 41.70/27.34 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12360,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 41.70/27.34 tff(12361,plain,
% 41.70/27.34 (nextState(constB98, constB99)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12360, 12359])).
% 41.70/27.34 tff(12362,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12363,plain,
% 41.70/27.34 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12364,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 41.70/27.34 inference(monotonicity,[status(thm)],[12363])).
% 41.70/27.34 tff(12365,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 41.70/27.34 inference(transitivity,[status(thm)],[12364, 12362])).
% 41.70/27.34 tff(12366,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12367,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12366, 12365])).
% 41.70/27.34 tff(12368,plain,
% 41.70/27.34 (~v101(constB99)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12367, 391, 12361, 12358])).
% 41.70/27.34 tff(12369,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12370,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12371,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12370, 12369])).
% 41.70/27.34 tff(12372,plain,
% 41.70/27.34 (v101(constB99) | (~v100(constB99))),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12371, 408, 12361])).
% 41.70/27.34 tff(12373,plain,
% 41.70/27.34 (~v100(constB99)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12372, 12368])).
% 41.70/27.34 tff(12374,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12375,plain,
% 41.70/27.34 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12376,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))))),
% 41.70/27.34 inference(monotonicity,[status(thm)],[12375])).
% 41.70/27.34 tff(12377,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 41.70/27.34 inference(transitivity,[status(thm)],[12376, 12374])).
% 41.70/27.34 tff(12378,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12379,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12378, 12377])).
% 41.70/27.34 tff(12380,plain,
% 41.70/27.34 (v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12379, 423, 12361])).
% 41.70/27.34 tff(12381,plain,
% 41.70/27.34 (v90(constB98, bitIndex2) | (~v90(constB99, bitIndex2))),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12380, 12373])).
% 41.70/27.34 tff(12382,plain,
% 41.70/27.34 (~v90(constB99, bitIndex2)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12381, 12355])).
% 41.70/27.34 tff(12383,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB97)) | v130(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB97)) | v130(constB97, bitIndex1))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12384,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB97)) | v130(constB97, bitIndex1))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12385,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB97)) | v130(constB97, bitIndex1)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12384, 12383])).
% 41.70/27.34 tff(12386,plain,
% 41.70/27.34 (v130(constB97, bitIndex1)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12385, 1788, 12238])).
% 41.70/27.34 tff(12387,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12388,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12389,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 41.70/27.34 tff(12390,plain,
% 41.70/27.34 ((~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12389, 1144, 12278])).
% 41.70/27.34 tff(12391,plain,
% 41.70/27.34 (v127(constB97, bitIndex1)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12390, 12386])).
% 41.70/27.34 tff(12392,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12393,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12394,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12393, 12392])).
% 41.70/27.34 tff(12395,plain,
% 41.70/27.34 ((~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12394, 1159, 12293])).
% 41.70/27.34 tff(12396,plain,
% 41.70/27.34 (v129(constB98, bitIndex1)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12395, 12391])).
% 41.70/27.34 tff(12397,plain,
% 41.70/27.34 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12398,plain,
% 41.70/27.34 ((v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12399,plain,
% 41.70/27.34 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98))))),
% 41.70/27.34 inference(monotonicity,[status(thm)],[12398])).
% 41.70/27.34 tff(12400,plain,
% 41.70/27.34 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 41.70/27.34 inference(transitivity,[status(thm)],[12399, 12397])).
% 41.70/27.34 tff(12401,plain,
% 41.70/27.34 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12402,plain,
% 41.70/27.34 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12401, 12400])).
% 41.70/27.34 tff(12403,plain,
% 41.70/27.34 (v90(constB98, bitIndex1) | (~v100(constB98))),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12402, 1174, 12396])).
% 41.70/27.34 tff(12404,plain,
% 41.70/27.34 (v90(constB98, bitIndex1)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12403, 12333])).
% 41.70/27.34 tff(12405,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12406,plain,
% 41.70/27.34 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1)) <=> ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12407,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1)))),
% 41.70/27.34 inference(monotonicity,[status(thm)],[12406])).
% 41.70/27.34 tff(12408,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 41.70/27.34 inference(transitivity,[status(thm)],[12407, 12405])).
% 41.70/27.34 tff(12409,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12410,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12409, 12408])).
% 41.70/27.34 tff(12411,plain,
% 41.70/27.34 ((~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12410, 1192, 12361])).
% 41.70/27.34 tff(12412,plain,
% 41.70/27.34 ((~v90(constB98, bitIndex1)) | v90(constB99, bitIndex1)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12411, 12373])).
% 41.70/27.34 tff(12413,plain,
% 41.70/27.34 (v90(constB99, bitIndex1)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12412, 12404])).
% 41.70/27.34 tff(12414,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB97)) | (~v130(constB97, bitIndex0)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12415,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex0)))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12416,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB97)) | (~v130(constB97, bitIndex0))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12415, 12414])).
% 41.70/27.34 tff(12417,plain,
% 41.70/27.34 (~v130(constB97, bitIndex0)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12416, 1826, 12238])).
% 41.70/27.34 tff(12418,assumption,(v127(constB97, bitIndex0)), introduced(assumption)).
% 41.70/27.34 tff(12419,assumption,(~v130(constB97, bitIndex0)), introduced(assumption)).
% 41.70/27.34 tff(12420,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12421,plain,
% 41.70/27.34 ((v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0))) <=> ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12422,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0)))),
% 41.70/27.34 inference(monotonicity,[status(thm)],[12421])).
% 41.70/27.34 tff(12423,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 41.70/27.34 inference(transitivity,[status(thm)],[12422, 12420])).
% 41.70/27.34 tff(12424,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12425,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12424, 12423])).
% 41.70/27.34 tff(12426,plain,
% 41.70/27.34 ((~v127(constB97, bitIndex0)) | v26(constB97)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12425, 907, 12419])).
% 41.70/27.34 tff(12427,plain,
% 41.70/27.34 (v26(constB97)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12426, 12418])).
% 41.70/27.34 tff(12428,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB97)) | (~v127(constB97, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB97)) | (~v127(constB97, bitIndex0)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12429,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB97)) | (~v127(constB97, bitIndex0)))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12430,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB97)) | (~v127(constB97, bitIndex0))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12429, 12428])).
% 41.70/27.34 tff(12431,plain,
% 41.70/27.34 ($false),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12430, 922, 12418, 12427])).
% 41.70/27.34 tff(12432,plain,((~v127(constB97, bitIndex0)) | v130(constB97, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 41.70/27.34 tff(12433,plain,
% 41.70/27.34 (~v127(constB97, bitIndex0)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12432, 12417])).
% 41.70/27.34 tff(12434,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12435,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12436,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12435, 12434])).
% 41.70/27.34 tff(12437,plain,
% 41.70/27.34 (v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0))),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12436, 937, 12293])).
% 41.70/27.34 tff(12438,plain,
% 41.70/27.34 (~v129(constB98, bitIndex0)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12437, 12433])).
% 41.70/27.34 tff(12439,plain,
% 41.70/27.34 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12440,plain,
% 41.70/27.34 (((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12441,plain,
% 41.70/27.34 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98))))),
% 41.70/27.34 inference(monotonicity,[status(thm)],[12440])).
% 41.70/27.34 tff(12442,plain,
% 41.70/27.34 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 41.70/27.34 inference(transitivity,[status(thm)],[12441, 12439])).
% 41.70/27.34 tff(12443,plain,
% 41.70/27.34 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12444,plain,
% 41.70/27.34 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12443, 12442])).
% 41.70/27.34 tff(12445,plain,
% 41.70/27.34 ((~v90(constB98, bitIndex0)) | (~v100(constB98))),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12444, 952, 12438])).
% 41.70/27.34 tff(12446,plain,
% 41.70/27.34 (~v90(constB98, bitIndex0)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12445, 12333])).
% 41.70/27.34 tff(12447,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12448,plain,
% 41.70/27.34 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12449,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0))))),
% 41.70/27.34 inference(monotonicity,[status(thm)],[12448])).
% 41.70/27.34 tff(12450,plain,
% 41.70/27.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 41.70/27.34 inference(transitivity,[status(thm)],[12449, 12447])).
% 41.70/27.34 tff(12451,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12452,plain,
% 41.70/27.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12451, 12450])).
% 41.70/27.34 tff(12453,plain,
% 41.70/27.34 (v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0))),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12452, 465, 12361])).
% 41.70/27.34 tff(12454,plain,
% 41.70/27.34 (v90(constB98, bitIndex0) | (~v90(constB99, bitIndex0))),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12453, 12373])).
% 41.70/27.34 tff(12455,plain,
% 41.70/27.34 (~v90(constB99, bitIndex0)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12454, 12446])).
% 41.70/27.34 tff(12456,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12457,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12458,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12457, 12456])).
% 41.70/27.34 tff(12459,plain,
% 41.70/27.34 (v121(constB99)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12458, 1870, 12455, 12413, 12382])).
% 41.70/27.34 tff(12460,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB99)) | v117(constB99))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12461,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB99)) | v117(constB99))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12462,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB99)) | v117(constB99)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12461, 12460])).
% 41.70/27.34 tff(12463,plain,
% 41.70/27.34 (v117(constB99)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12462, 1881, 12459])).
% 41.70/27.34 tff(12464,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12465,plain,
% 41.70/27.34 (((~v117(constB99)) | v116(constB99)) <=> (v116(constB99) | (~v117(constB99)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12466,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99))))),
% 41.70/27.34 inference(monotonicity,[status(thm)],[12465])).
% 41.70/27.34 tff(12467,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 41.70/27.34 inference(transitivity,[status(thm)],[12466, 12464])).
% 41.70/27.34 tff(12468,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12469,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99))),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12468, 12467])).
% 41.70/27.34 tff(12470,plain,
% 41.70/27.34 (v116(constB99)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12469, 525, 12463])).
% 41.70/27.34 tff(12471,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB99)) | v115(constB99))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12472,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))),
% 41.70/27.34 inference(quant_inst,[status(thm)],[])).
% 41.70/27.34 tff(12473,plain,
% 41.70/27.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB99)) | v115(constB99)),
% 41.70/27.34 inference(modus_ponens,[status(thm)],[12472, 12471])).
% 41.70/27.34 tff(12474,plain,
% 41.70/27.34 (v115(constB99)),
% 41.70/27.34 inference(unit_resolution,[status(thm)],[12473, 539, 12470])).
% 41.70/27.34 tff(12475,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12476,plain,
% 41.70/27.34 (((~v115(constB99)) | v114(constB99)) <=> (v114(constB99) | (~v115(constB99)))),
% 41.70/27.34 inference(rewrite,[status(thm)],[])).
% 41.70/27.34 tff(12477,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99))))),
% 41.70/27.34 inference(monotonicity,[status(thm)],[12476])).
% 41.70/27.34 tff(12478,plain,
% 41.70/27.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12477, 12475])).
% 41.70/27.35 tff(12479,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12480,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12479, 12478])).
% 41.70/27.35 tff(12481,plain,
% 41.70/27.35 (v114(constB99)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12480, 553, 12474])).
% 41.70/27.35 tff(12482,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12483,plain,
% 41.70/27.35 (((~v114(constB99)) | v113(constB99)) <=> (v113(constB99) | (~v114(constB99)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12484,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99))))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12483])).
% 41.70/27.35 tff(12485,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12484, 12482])).
% 41.70/27.35 tff(12486,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12487,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12486, 12485])).
% 41.70/27.35 tff(12488,plain,
% 41.70/27.35 (v113(constB99)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12487, 567, 12481])).
% 41.70/27.35 tff(12489,assumption,(v26(constB99)), introduced(assumption)).
% 41.70/27.35 tff(12490,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12491,plain,
% 41.70/27.35 ($false),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12490, 95, 12489])).
% 41.70/27.35 tff(12492,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 41.70/27.35 tff(12493,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12494,plain,
% 41.70/27.35 ((v26(constB99) | (~v113(constB99)) | v112(constB99)) <=> (v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12495,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99))))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12494])).
% 41.70/27.35 tff(12496,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12495, 12493])).
% 41.70/27.35 tff(12497,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12498,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12497, 12496])).
% 41.70/27.35 tff(12499,plain,
% 41.70/27.35 (v112(constB99) | (~v113(constB99))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12498, 581, 12492])).
% 41.70/27.35 tff(12500,plain,
% 41.70/27.35 (v112(constB99)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12499, 12488])).
% 41.70/27.35 tff(12501,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12502,plain,
% 41.70/27.35 (((~v112(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v112(constB99)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12503,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99))))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12502])).
% 41.70/27.35 tff(12504,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12503, 12501])).
% 41.70/27.35 tff(12505,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12506,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12505, 12504])).
% 41.70/27.35 tff(12507,plain,
% 41.70/27.35 (v108(constB99)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12506, 746, 12500])).
% 41.70/27.35 tff(12508,plain,
% 41.70/27.35 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12509,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 41.70/27.35 tff(12510,plain,
% 41.70/27.35 (nextState(constB99, constB100)),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12509, 12508])).
% 41.70/27.35 tff(12511,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12512,plain,
% 41.70/27.35 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12513,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12512])).
% 41.70/27.35 tff(12514,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12513, 12511])).
% 41.70/27.35 tff(12515,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12516,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12515, 12514])).
% 41.70/27.35 tff(12517,plain,
% 41.70/27.35 (v110(constB100) | (~v108(constB99))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12516, 731, 12510])).
% 41.70/27.35 tff(12518,plain,
% 41.70/27.35 (v110(constB100)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12517, 12507])).
% 41.70/27.35 tff(12519,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12520,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12521,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12520, 12519])).
% 41.70/27.35 tff(12522,plain,
% 41.70/27.35 (~v104(constB100)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12521, 659, 12510, 12358])).
% 41.70/27.35 tff(12523,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12524,plain,
% 41.70/27.35 (((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)) <=> ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12525,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100)))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12524])).
% 41.70/27.35 tff(12526,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12525, 12523])).
% 41.70/27.35 tff(12527,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12528,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100)),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12527, 12526])).
% 41.70/27.35 tff(12529,plain,
% 41.70/27.35 (v104(constB100) | v102(constB100)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12528, 673, 12510])).
% 41.70/27.35 tff(12530,plain,
% 41.70/27.35 (v102(constB100)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12529, 12522])).
% 41.70/27.35 tff(12531,plain,
% 41.70/27.35 (v1(constB100) <=> v1(constB100)),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12532,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 41.70/27.35 tff(12533,plain,
% 41.70/27.35 (v1(constB100)),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12532, 12531])).
% 41.70/27.35 tff(12534,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12535,plain,
% 41.70/27.35 (((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))) <=> ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12536,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100))))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12535])).
% 41.70/27.35 tff(12537,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12536, 12534])).
% 41.70/27.35 tff(12538,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12539,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 41.70/27.35 tff(12540,plain,
% 41.70/27.35 (v101(constB100) | (~v102(constB100))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12539, 694, 12510, 12533])).
% 41.70/27.35 tff(12541,plain,
% 41.70/27.35 (v101(constB100)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12540, 12530])).
% 41.70/27.35 tff(12542,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12543,plain,
% 41.70/27.35 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12544,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12543])).
% 41.70/27.35 tff(12545,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12544, 12542])).
% 41.70/27.35 tff(12546,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12547,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12546, 12545])).
% 41.70/27.35 tff(12548,plain,
% 41.70/27.35 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12547, 712, 12510])).
% 41.70/27.35 tff(12549,plain,
% 41.70/27.35 (v100(constB100) | (~v110(constB100))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12548, 12541])).
% 41.70/27.35 tff(12550,plain,
% 41.70/27.35 (v100(constB100)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12549, 12518])).
% 41.70/27.35 tff(12551,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12552,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12553,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12552, 12551])).
% 41.70/27.35 tff(12554,plain,
% 41.70/27.35 (~v130(constB99, bitIndex2)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12553, 1990, 12459])).
% 41.70/27.35 tff(12555,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12556,plain,
% 41.70/27.35 ((v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2))) <=> ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12557,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12556])).
% 41.70/27.35 tff(12558,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12557, 12555])).
% 41.70/27.35 tff(12559,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12560,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12559, 12558])).
% 41.70/27.35 tff(12561,plain,
% 41.70/27.35 ((~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12560, 1419, 12492])).
% 41.70/27.35 tff(12562,plain,
% 41.70/27.35 (~v127(constB99, bitIndex2)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12561, 12554])).
% 41.70/27.35 tff(12563,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12564,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12565,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12564, 12563])).
% 41.70/27.35 tff(12566,plain,
% 41.70/27.35 (v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12565, 1437, 12510])).
% 41.70/27.35 tff(12567,plain,
% 41.70/27.35 (~v129(constB100, bitIndex2)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12566, 12562])).
% 41.70/27.35 tff(12568,plain,
% 41.70/27.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12569,plain,
% 41.70/27.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12570,plain,
% 41.70/27.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12569, 12568])).
% 41.70/27.35 tff(12571,plain,
% 41.70/27.35 ((~v90(constB100, bitIndex2)) | (~v100(constB100))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12570, 1452, 12567])).
% 41.70/27.35 tff(12572,plain,
% 41.70/27.35 (~v90(constB100, bitIndex2)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12571, 12550])).
% 41.70/27.35 tff(12573,plain,
% 41.70/27.35 ((~v1(constB101)) <=> (~v1(constB101))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12574,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 41.70/27.35 tff(12575,plain,
% 41.70/27.35 (~v1(constB101)),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12574, 12573])).
% 41.70/27.35 tff(12576,plain,
% 41.70/27.35 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12577,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 41.70/27.35 tff(12578,plain,
% 41.70/27.35 (nextState(constB100, constB101)),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12577, 12576])).
% 41.70/27.35 tff(12579,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12580,plain,
% 41.70/27.35 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12581,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12580])).
% 41.70/27.35 tff(12582,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12581, 12579])).
% 41.70/27.35 tff(12583,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12584,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12583, 12582])).
% 41.70/27.35 tff(12585,plain,
% 41.70/27.35 (~v101(constB101)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12584, 391, 12578, 12575])).
% 41.70/27.35 tff(12586,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12587,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12588,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12587, 12586])).
% 41.70/27.35 tff(12589,plain,
% 41.70/27.35 (v101(constB101) | (~v100(constB101))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12588, 408, 12578])).
% 41.70/27.35 tff(12590,plain,
% 41.70/27.35 (~v100(constB101)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12589, 12585])).
% 41.70/27.35 tff(12591,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12592,plain,
% 41.70/27.35 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))) <=> (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12593,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12592])).
% 41.70/27.35 tff(12594,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12593, 12591])).
% 41.70/27.35 tff(12595,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12596,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12595, 12594])).
% 41.70/27.35 tff(12597,plain,
% 41.70/27.35 (v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12596, 423, 12578])).
% 41.70/27.35 tff(12598,plain,
% 41.70/27.35 (v90(constB100, bitIndex2) | (~v90(constB101, bitIndex2))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12597, 12590])).
% 41.70/27.35 tff(12599,plain,
% 41.70/27.35 (~v90(constB101, bitIndex2)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12598, 12572])).
% 41.70/27.35 tff(12600,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB99)) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB99)) | v130(constB99, bitIndex1))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12601,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB99)) | v130(constB99, bitIndex1))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12602,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB99)) | v130(constB99, bitIndex1)),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 41.70/27.35 tff(12603,plain,
% 41.70/27.35 (v130(constB99, bitIndex1)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12602, 2050, 12459])).
% 41.70/27.35 tff(12604,plain,
% 41.70/27.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12605,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12606,plain,
% 41.70/27.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 41.70/27.35 tff(12607,plain,
% 41.70/27.35 ((~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12606, 1144, 12492])).
% 41.70/27.35 tff(12608,plain,
% 41.70/27.35 (v127(constB99, bitIndex1)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12607, 12603])).
% 41.70/27.35 tff(12609,plain,
% 41.70/27.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12610,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12611,plain,
% 41.70/27.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12610, 12609])).
% 41.70/27.35 tff(12612,plain,
% 41.70/27.35 ((~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12611, 1159, 12510])).
% 41.70/27.35 tff(12613,plain,
% 41.70/27.35 (v129(constB100, bitIndex1)),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12612, 12608])).
% 41.70/27.35 tff(12614,plain,
% 41.70/27.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12615,plain,
% 41.70/27.35 ((v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 41.70/27.35 inference(rewrite,[status(thm)],[])).
% 41.70/27.35 tff(12616,plain,
% 41.70/27.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))))),
% 41.70/27.35 inference(monotonicity,[status(thm)],[12615])).
% 41.70/27.35 tff(12617,plain,
% 41.70/27.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 41.70/27.35 inference(transitivity,[status(thm)],[12616, 12614])).
% 41.70/27.35 tff(12618,plain,
% 41.70/27.35 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))),
% 41.70/27.35 inference(quant_inst,[status(thm)],[])).
% 41.70/27.35 tff(12619,plain,
% 41.70/27.35 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 41.70/27.35 inference(modus_ponens,[status(thm)],[12618, 12617])).
% 41.70/27.35 tff(12620,plain,
% 41.70/27.35 (v90(constB100, bitIndex1) | (~v100(constB100))),
% 41.70/27.35 inference(unit_resolution,[status(thm)],[12619, 1174, 12613])).
% 41.70/27.35 tff(12621,plain,
% 41.70/27.35 (v90(constB100, bitIndex1)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12620, 12550])).
% 41.70/27.36 tff(12622,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12623,plain,
% 41.70/27.36 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12624,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12623])).
% 41.70/27.36 tff(12625,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12624, 12622])).
% 41.70/27.36 tff(12626,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12627,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12626, 12625])).
% 41.70/27.36 tff(12628,plain,
% 41.70/27.36 ((~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12627, 1192, 12578])).
% 41.70/27.36 tff(12629,plain,
% 41.70/27.36 ((~v90(constB100, bitIndex1)) | v90(constB101, bitIndex1)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12628, 12590])).
% 41.70/27.36 tff(12630,plain,
% 41.70/27.36 (v90(constB101, bitIndex1)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12629, 12621])).
% 41.70/27.36 tff(12631,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB99)) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB99)) | v130(constB99, bitIndex0))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12632,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB99)) | v130(constB99, bitIndex0))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12633,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB99)) | v130(constB99, bitIndex0)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12632, 12631])).
% 41.70/27.36 tff(12634,plain,
% 41.70/27.36 (v130(constB99, bitIndex0)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12633, 2088, 12459])).
% 41.70/27.36 tff(12635,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12636,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12637,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12636, 12635])).
% 41.70/27.36 tff(12638,plain,
% 41.70/27.36 ((~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12637, 1552, 12492])).
% 41.70/27.36 tff(12639,plain,
% 41.70/27.36 (v127(constB99, bitIndex0)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12638, 12634])).
% 41.70/27.36 tff(12640,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12641,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12642,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12641, 12640])).
% 41.70/27.36 tff(12643,plain,
% 41.70/27.36 ((~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12642, 1567, 12510])).
% 41.70/27.36 tff(12644,plain,
% 41.70/27.36 (v129(constB100, bitIndex0)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12643, 12639])).
% 41.70/27.36 tff(12645,plain,
% 41.70/27.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12646,plain,
% 41.70/27.36 ((v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0))) <=> (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12647,plain,
% 41.70/27.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100))))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12646])).
% 41.70/27.36 tff(12648,plain,
% 41.70/27.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12647, 12645])).
% 41.70/27.36 tff(12649,plain,
% 41.70/27.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12650,plain,
% 41.70/27.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100))),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12649, 12648])).
% 41.70/27.36 tff(12651,plain,
% 41.70/27.36 (v90(constB100, bitIndex0) | (~v100(constB100))),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12650, 1582, 12644])).
% 41.70/27.36 tff(12652,plain,
% 41.70/27.36 (v90(constB100, bitIndex0)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12651, 12550])).
% 41.70/27.36 tff(12653,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12654,plain,
% 41.70/27.36 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12655,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0)))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12654])).
% 41.70/27.36 tff(12656,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12655, 12653])).
% 41.70/27.36 tff(12657,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12658,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12657, 12656])).
% 41.70/27.36 tff(12659,plain,
% 41.70/27.36 ((~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12658, 1600, 12578])).
% 41.70/27.36 tff(12660,plain,
% 41.70/27.36 ((~v90(constB100, bitIndex0)) | v90(constB101, bitIndex0)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12659, 12590])).
% 41.70/27.36 tff(12661,plain,
% 41.70/27.36 (v90(constB101, bitIndex0)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12660, 12652])).
% 41.70/27.36 tff(12662,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12663,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12664,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12663, 12662])).
% 41.70/27.36 tff(12665,plain,
% 41.70/27.36 (v122(constB101)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12664, 2129, 12661, 12630, 12599])).
% 41.70/27.36 tff(12666,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB101)) | v116(constB101))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12667,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB101)) | v116(constB101))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12668,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB101)) | v116(constB101)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12667, 12666])).
% 41.70/27.36 tff(12669,plain,
% 41.70/27.36 (v116(constB101)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12668, 2140, 12665])).
% 41.70/27.36 tff(12670,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB101)) | v115(constB101))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12671,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12672,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB101)) | v115(constB101)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12671, 12670])).
% 41.70/27.36 tff(12673,plain,
% 41.70/27.36 (v115(constB101)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12672, 539, 12669])).
% 41.70/27.36 tff(12674,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12675,plain,
% 41.70/27.36 (((~v115(constB101)) | v114(constB101)) <=> (v114(constB101) | (~v115(constB101)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12676,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101))))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12675])).
% 41.70/27.36 tff(12677,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12676, 12674])).
% 41.70/27.36 tff(12678,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12679,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101))),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12678, 12677])).
% 41.70/27.36 tff(12680,plain,
% 41.70/27.36 (v114(constB101)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12679, 553, 12673])).
% 41.70/27.36 tff(12681,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB101) | (~v114(constB101)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB101) | (~v114(constB101)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12682,plain,
% 41.70/27.36 (((~v114(constB101)) | v113(constB101)) <=> (v113(constB101) | (~v114(constB101)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12683,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB101) | (~v114(constB101))))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12682])).
% 41.70/27.36 tff(12684,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB101) | (~v114(constB101)))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12683, 12681])).
% 41.70/27.36 tff(12685,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12686,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB101) | (~v114(constB101))),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12685, 12684])).
% 41.70/27.36 tff(12687,plain,
% 41.70/27.36 (v113(constB101)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12686, 567, 12680])).
% 41.70/27.36 tff(12688,assumption,(v26(constB101)), introduced(assumption)).
% 41.70/27.36 tff(12689,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB101))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12690,plain,
% 41.70/27.36 ($false),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12689, 95, 12688])).
% 41.70/27.36 tff(12691,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 41.70/27.36 tff(12692,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12693,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12694,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12693, 12692])).
% 41.70/27.36 tff(12695,plain,
% 41.70/27.36 ((~v113(constB101)) | v112(constB101)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12694, 581, 12691])).
% 41.70/27.36 tff(12696,plain,
% 41.70/27.36 (v112(constB101)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12695, 12687])).
% 41.70/27.36 tff(12697,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12698,plain,
% 41.70/27.36 (((~v112(constB101)) | v108(constB101)) <=> (v108(constB101) | (~v112(constB101)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12699,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101))))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12698])).
% 41.70/27.36 tff(12700,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12699, 12697])).
% 41.70/27.36 tff(12701,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12702,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101))),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12701, 12700])).
% 41.70/27.36 tff(12703,plain,
% 41.70/27.36 (v108(constB101)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12702, 746, 12696])).
% 41.70/27.36 tff(12704,plain,
% 41.70/27.36 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12705,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 41.70/27.36 tff(12706,plain,
% 41.70/27.36 (nextState(constB101, constB102)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12705, 12704])).
% 41.70/27.36 tff(12707,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12708,plain,
% 41.70/27.36 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12709,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12708])).
% 41.70/27.36 tff(12710,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12709, 12707])).
% 41.70/27.36 tff(12711,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12712,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12711, 12710])).
% 41.70/27.36 tff(12713,plain,
% 41.70/27.36 (v110(constB102) | (~v108(constB101))),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12712, 731, 12706])).
% 41.70/27.36 tff(12714,plain,
% 41.70/27.36 (v110(constB102)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12713, 12703])).
% 41.70/27.36 tff(12715,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12716,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12717,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12716, 12715])).
% 41.70/27.36 tff(12718,plain,
% 41.70/27.36 (~v104(constB102)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12717, 659, 12706, 12575])).
% 41.70/27.36 tff(12719,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12720,plain,
% 41.70/27.36 (((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)) <=> ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12721,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102)))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12720])).
% 41.70/27.36 tff(12722,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12721, 12719])).
% 41.70/27.36 tff(12723,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12724,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12723, 12722])).
% 41.70/27.36 tff(12725,plain,
% 41.70/27.36 (v104(constB102) | v102(constB102)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12724, 673, 12706])).
% 41.70/27.36 tff(12726,plain,
% 41.70/27.36 (v102(constB102)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12725, 12718])).
% 41.70/27.36 tff(12727,plain,
% 41.70/27.36 (v1(constB102) <=> v1(constB102)),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12728,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 41.70/27.36 tff(12729,plain,
% 41.70/27.36 (v1(constB102)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12728, 12727])).
% 41.70/27.36 tff(12730,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12731,plain,
% 41.70/27.36 (((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))) <=> ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12732,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102))))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12731])).
% 41.70/27.36 tff(12733,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12732, 12730])).
% 41.70/27.36 tff(12734,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12735,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102))),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12734, 12733])).
% 41.70/27.36 tff(12736,plain,
% 41.70/27.36 (v101(constB102) | (~v102(constB102))),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12735, 694, 12706, 12729])).
% 41.70/27.36 tff(12737,plain,
% 41.70/27.36 (v101(constB102)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12736, 12726])).
% 41.70/27.36 tff(12738,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12739,plain,
% 41.70/27.36 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12740,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12739])).
% 41.70/27.36 tff(12741,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12740, 12738])).
% 41.70/27.36 tff(12742,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12743,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12742, 12741])).
% 41.70/27.36 tff(12744,plain,
% 41.70/27.36 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12743, 712, 12706])).
% 41.70/27.36 tff(12745,plain,
% 41.70/27.36 (v100(constB102) | (~v110(constB102))),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12744, 12737])).
% 41.70/27.36 tff(12746,plain,
% 41.70/27.36 (v100(constB102)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12745, 12714])).
% 41.70/27.36 tff(12747,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12748,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12749,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12748, 12747])).
% 41.70/27.36 tff(12750,plain,
% 41.70/27.36 (v130(constB101, bitIndex2)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12749, 2224, 12665])).
% 41.70/27.36 tff(12751,plain,
% 41.70/27.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12752,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12753,plain,
% 41.70/27.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 41.70/27.36 tff(12754,plain,
% 41.70/27.36 ((~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12753, 607, 12691])).
% 41.70/27.36 tff(12755,plain,
% 41.70/27.36 (v127(constB101, bitIndex2)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12754, 12750])).
% 41.70/27.36 tff(12756,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12757,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12758,plain,
% 41.70/27.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12757, 12756])).
% 41.70/27.36 tff(12759,plain,
% 41.70/27.36 ((~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12758, 625, 12706])).
% 41.70/27.36 tff(12760,plain,
% 41.70/27.36 (v129(constB102, bitIndex2)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12759, 12755])).
% 41.70/27.36 tff(12761,plain,
% 41.70/27.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12762,plain,
% 41.70/27.36 ((v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12763,plain,
% 41.70/27.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102))))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12762])).
% 41.70/27.36 tff(12764,plain,
% 41.70/27.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 41.70/27.36 inference(transitivity,[status(thm)],[12763, 12761])).
% 41.70/27.36 tff(12765,plain,
% 41.70/27.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))),
% 41.70/27.36 inference(quant_inst,[status(thm)],[])).
% 41.70/27.36 tff(12766,plain,
% 41.70/27.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102))),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12765, 12764])).
% 41.70/27.36 tff(12767,plain,
% 41.70/27.36 (v90(constB102, bitIndex2) | (~v100(constB102))),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12766, 641, 12760])).
% 41.70/27.36 tff(12768,plain,
% 41.70/27.36 (v90(constB102, bitIndex2)),
% 41.70/27.36 inference(unit_resolution,[status(thm)],[12767, 12746])).
% 41.70/27.36 tff(12769,plain,
% 41.70/27.36 ((~v1(constB103)) <=> (~v1(constB103))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12770,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 41.70/27.36 tff(12771,plain,
% 41.70/27.36 (~v1(constB103)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12770, 12769])).
% 41.70/27.36 tff(12772,plain,
% 41.70/27.36 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12773,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 41.70/27.36 tff(12774,plain,
% 41.70/27.36 (nextState(constB102, constB103)),
% 41.70/27.36 inference(modus_ponens,[status(thm)],[12773, 12772])).
% 41.70/27.36 tff(12775,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12776,plain,
% 41.70/27.36 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 41.70/27.36 inference(rewrite,[status(thm)],[])).
% 41.70/27.36 tff(12777,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 41.70/27.36 inference(monotonicity,[status(thm)],[12776])).
% 41.70/27.36 tff(12778,plain,
% 41.70/27.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 41.70/27.37 inference(transitivity,[status(thm)],[12777, 12775])).
% 41.70/27.37 tff(12779,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 41.70/27.37 inference(quant_inst,[status(thm)],[])).
% 41.70/27.37 tff(12780,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 41.70/27.37 inference(modus_ponens,[status(thm)],[12779, 12778])).
% 41.70/27.37 tff(12781,plain,
% 41.70/27.37 (~v101(constB103)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12780, 391, 12774, 12771])).
% 41.70/27.37 tff(12782,plain,
% 41.70/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12783,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 41.70/27.37 inference(quant_inst,[status(thm)],[])).
% 41.70/27.37 tff(12784,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 41.70/27.37 inference(modus_ponens,[status(thm)],[12783, 12782])).
% 41.70/27.37 tff(12785,plain,
% 41.70/27.37 (v101(constB103) | (~v100(constB103))),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12784, 408, 12774])).
% 41.70/27.37 tff(12786,plain,
% 41.70/27.37 (~v100(constB103)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12785, 12781])).
% 41.70/27.37 tff(12787,plain,
% 41.70/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12788,plain,
% 41.70/27.37 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12789,plain,
% 41.70/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2)))),
% 41.70/27.37 inference(monotonicity,[status(thm)],[12788])).
% 41.70/27.37 tff(12790,plain,
% 41.70/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 41.70/27.37 inference(transitivity,[status(thm)],[12789, 12787])).
% 41.70/27.37 tff(12791,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2))),
% 41.70/27.37 inference(quant_inst,[status(thm)],[])).
% 41.70/27.37 tff(12792,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2)),
% 41.70/27.37 inference(modus_ponens,[status(thm)],[12791, 12790])).
% 41.70/27.37 tff(12793,plain,
% 41.70/27.37 ((~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12792, 783, 12774])).
% 41.70/27.37 tff(12794,plain,
% 41.70/27.37 ((~v90(constB102, bitIndex2)) | v90(constB103, bitIndex2)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12793, 12786])).
% 41.70/27.37 tff(12795,plain,
% 41.70/27.37 (v90(constB103, bitIndex2)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12794, 12768])).
% 41.70/27.37 tff(12796,plain,
% 41.70/27.37 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12797,plain,
% 41.70/27.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 41.70/27.37 inference(quant_inst,[status(thm)],[])).
% 41.70/27.37 tff(12798,plain,
% 41.70/27.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1))),
% 41.70/27.37 inference(modus_ponens,[status(thm)],[12797, 12796])).
% 41.70/27.37 tff(12799,plain,
% 41.70/27.37 (~v130(constB101, bitIndex1)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12798, 2281, 12665])).
% 41.70/27.37 tff(12800,plain,
% 41.70/27.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12801,plain,
% 41.70/27.37 ((v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1))) <=> ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12802,plain,
% 41.70/27.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)))),
% 41.70/27.37 inference(monotonicity,[status(thm)],[12801])).
% 41.70/27.37 tff(12803,plain,
% 41.70/27.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 41.70/27.37 inference(transitivity,[status(thm)],[12802, 12800])).
% 41.70/27.37 tff(12804,plain,
% 41.70/27.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))),
% 41.70/27.37 inference(quant_inst,[status(thm)],[])).
% 41.70/27.37 tff(12805,plain,
% 41.70/27.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)),
% 41.70/27.37 inference(modus_ponens,[status(thm)],[12804, 12803])).
% 41.70/27.37 tff(12806,plain,
% 41.70/27.37 ((~v127(constB101, bitIndex1)) | v130(constB101, bitIndex1)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12805, 823, 12691])).
% 41.70/27.37 tff(12807,plain,
% 41.70/27.37 (~v127(constB101, bitIndex1)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12806, 12799])).
% 41.70/27.37 tff(12808,plain,
% 41.70/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12809,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))),
% 41.70/27.37 inference(quant_inst,[status(thm)],[])).
% 41.70/27.37 tff(12810,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 41.70/27.37 inference(modus_ponens,[status(thm)],[12809, 12808])).
% 41.70/27.37 tff(12811,plain,
% 41.70/27.37 (v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12810, 853, 12706])).
% 41.70/27.37 tff(12812,plain,
% 41.70/27.37 (~v129(constB102, bitIndex1)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12811, 12807])).
% 41.70/27.37 tff(12813,plain,
% 41.70/27.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12814,plain,
% 41.70/27.37 (((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12815,plain,
% 41.70/27.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102))))),
% 41.70/27.37 inference(monotonicity,[status(thm)],[12814])).
% 41.70/27.37 tff(12816,plain,
% 41.70/27.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 41.70/27.37 inference(transitivity,[status(thm)],[12815, 12813])).
% 41.70/27.37 tff(12817,plain,
% 41.70/27.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))),
% 41.70/27.37 inference(quant_inst,[status(thm)],[])).
% 41.70/27.37 tff(12818,plain,
% 41.70/27.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102))),
% 41.70/27.37 inference(modus_ponens,[status(thm)],[12817, 12816])).
% 41.70/27.37 tff(12819,plain,
% 41.70/27.37 ((~v90(constB102, bitIndex1)) | (~v100(constB102))),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12818, 868, 12812])).
% 41.70/27.37 tff(12820,plain,
% 41.70/27.37 (~v90(constB102, bitIndex1)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12819, 12746])).
% 41.70/27.37 tff(12821,plain,
% 41.70/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12822,plain,
% 41.70/27.37 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12823,plain,
% 41.70/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1))))),
% 41.70/27.37 inference(monotonicity,[status(thm)],[12822])).
% 41.70/27.37 tff(12824,plain,
% 41.70/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 41.70/27.37 inference(transitivity,[status(thm)],[12823, 12821])).
% 41.70/27.37 tff(12825,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 41.70/27.37 inference(quant_inst,[status(thm)],[])).
% 41.70/27.37 tff(12826,plain,
% 41.70/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1))),
% 41.70/27.37 inference(modus_ponens,[status(thm)],[12825, 12824])).
% 41.70/27.37 tff(12827,plain,
% 41.70/27.37 (v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12826, 444, 12774])).
% 41.70/27.37 tff(12828,plain,
% 41.70/27.37 (v90(constB102, bitIndex1) | (~v90(constB103, bitIndex1))),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12827, 12786])).
% 41.70/27.37 tff(12829,plain,
% 41.70/27.37 (~v90(constB103, bitIndex1)),
% 41.70/27.37 inference(unit_resolution,[status(thm)],[12828, 12820])).
% 41.70/27.37 tff(12830,plain,
% 41.70/27.37 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB101)) | (~v130(constB101, bitIndex0)))),
% 41.70/27.37 inference(rewrite,[status(thm)],[])).
% 41.70/27.37 tff(12831,plain,
% 41.70/27.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex0)))),
% 41.70/27.37 inference(quant_inst,[status(thm)],[])).
% 41.70/27.37 tff(12832,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB101)) | (~v130(constB101, bitIndex0))),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 41.78/27.37 tff(12833,plain,
% 41.78/27.37 (~v130(constB101, bitIndex0)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12832, 2327, 12665])).
% 41.78/27.37 tff(12834,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12835,plain,
% 41.78/27.37 ((v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0))) <=> ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12836,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)))),
% 41.78/27.37 inference(monotonicity,[status(thm)],[12835])).
% 41.78/27.37 tff(12837,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 41.78/27.37 inference(transitivity,[status(thm)],[12836, 12834])).
% 41.78/27.37 tff(12838,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12839,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12838, 12837])).
% 41.78/27.37 tff(12840,plain,
% 41.78/27.37 ((~v127(constB101, bitIndex0)) | v130(constB101, bitIndex0)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12839, 907, 12691])).
% 41.78/27.37 tff(12841,plain,
% 41.78/27.37 (~v127(constB101, bitIndex0)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12840, 12833])).
% 41.78/27.37 tff(12842,plain,
% 41.78/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12843,plain,
% 41.78/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12844,plain,
% 41.78/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 41.78/27.37 tff(12845,plain,
% 41.78/27.37 (v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12844, 937, 12706])).
% 41.78/27.37 tff(12846,plain,
% 41.78/27.37 (~v129(constB102, bitIndex0)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12845, 12841])).
% 41.78/27.37 tff(12847,plain,
% 41.78/27.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12848,plain,
% 41.78/27.37 (((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12849,plain,
% 41.78/27.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102))))),
% 41.78/27.37 inference(monotonicity,[status(thm)],[12848])).
% 41.78/27.37 tff(12850,plain,
% 41.78/27.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 41.78/27.37 inference(transitivity,[status(thm)],[12849, 12847])).
% 41.78/27.37 tff(12851,plain,
% 41.78/27.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12852,plain,
% 41.78/27.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102))),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12851, 12850])).
% 41.78/27.37 tff(12853,plain,
% 41.78/27.37 ((~v90(constB102, bitIndex0)) | (~v100(constB102))),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12852, 952, 12846])).
% 41.78/27.37 tff(12854,plain,
% 41.78/27.37 (~v90(constB102, bitIndex0)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12853, 12746])).
% 41.78/27.37 tff(12855,plain,
% 41.78/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12856,plain,
% 41.78/27.37 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12857,plain,
% 41.78/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0))))),
% 41.78/27.37 inference(monotonicity,[status(thm)],[12856])).
% 41.78/27.37 tff(12858,plain,
% 41.78/27.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 41.78/27.37 inference(transitivity,[status(thm)],[12857, 12855])).
% 41.78/27.37 tff(12859,plain,
% 41.78/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12860,plain,
% 41.78/27.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0))),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 41.78/27.37 tff(12861,plain,
% 41.78/27.37 (v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12860, 465, 12774])).
% 41.78/27.37 tff(12862,plain,
% 41.78/27.37 (v90(constB102, bitIndex0) | (~v90(constB103, bitIndex0))),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12861, 12786])).
% 41.78/27.37 tff(12863,plain,
% 41.78/27.37 (~v90(constB103, bitIndex0)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12862, 12854])).
% 41.78/27.37 tff(12864,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12865,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12866,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103)),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12865, 12864])).
% 41.78/27.37 tff(12867,plain,
% 41.78/27.37 (v123(constB103)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12866, 979, 12863, 12829, 12795])).
% 41.78/27.37 tff(12868,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v123(constB103)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v123(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12869,plain,
% 41.78/27.37 (((~v123(constB103)) | v115(constB103)) <=> (v115(constB103) | (~v123(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12870,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v123(constB103))))),
% 41.78/27.37 inference(monotonicity,[status(thm)],[12869])).
% 41.78/27.37 tff(12871,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v123(constB103)))),
% 41.78/27.37 inference(transitivity,[status(thm)],[12870, 12868])).
% 41.78/27.37 tff(12872,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB103)) | v115(constB103))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12873,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v123(constB103))),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12872, 12871])).
% 41.78/27.37 tff(12874,plain,
% 41.78/27.37 (v115(constB103)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12873, 990, 12867])).
% 41.78/27.37 tff(12875,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12876,plain,
% 41.78/27.37 (((~v115(constB103)) | v114(constB103)) <=> (v114(constB103) | (~v115(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12877,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103))))),
% 41.78/27.37 inference(monotonicity,[status(thm)],[12876])).
% 41.78/27.37 tff(12878,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 41.78/27.37 inference(transitivity,[status(thm)],[12877, 12875])).
% 41.78/27.37 tff(12879,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12880,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103))),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12879, 12878])).
% 41.78/27.37 tff(12881,plain,
% 41.78/27.37 (v114(constB103)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12880, 553, 12874])).
% 41.78/27.37 tff(12882,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12883,plain,
% 41.78/27.37 (((~v114(constB103)) | v113(constB103)) <=> (v113(constB103) | (~v114(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12884,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103))))),
% 41.78/27.37 inference(monotonicity,[status(thm)],[12883])).
% 41.78/27.37 tff(12885,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 41.78/27.37 inference(transitivity,[status(thm)],[12884, 12882])).
% 41.78/27.37 tff(12886,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12887,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103))),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12886, 12885])).
% 41.78/27.37 tff(12888,plain,
% 41.78/27.37 (v113(constB103)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12887, 567, 12881])).
% 41.78/27.37 tff(12889,assumption,(~v108(constB103)), introduced(assumption)).
% 41.78/27.37 tff(12890,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12891,plain,
% 41.78/27.37 (((~v112(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v112(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12892,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103))))),
% 41.78/27.37 inference(monotonicity,[status(thm)],[12891])).
% 41.78/27.37 tff(12893,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 41.78/27.37 inference(transitivity,[status(thm)],[12892, 12890])).
% 41.78/27.37 tff(12894,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12895,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103))),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12894, 12893])).
% 41.78/27.37 tff(12896,plain,
% 41.78/27.37 (~v112(constB103)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12895, 746, 12889])).
% 41.78/27.37 tff(12897,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v26(constB103)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v26(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12898,plain,
% 41.78/27.37 (((~v26(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v26(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12899,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v26(constB103))))),
% 41.78/27.37 inference(monotonicity,[status(thm)],[12898])).
% 41.78/27.37 tff(12900,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v26(constB103)))),
% 41.78/27.37 inference(transitivity,[status(thm)],[12899, 12897])).
% 41.78/27.37 tff(12901,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB103)) | v108(constB103))),
% 41.78/27.37 inference(quant_inst,[status(thm)],[])).
% 41.78/27.37 tff(12902,plain,
% 41.78/27.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v26(constB103))),
% 41.78/27.37 inference(modus_ponens,[status(thm)],[12901, 12900])).
% 41.78/27.37 tff(12903,plain,
% 41.78/27.37 (~v26(constB103)),
% 41.78/27.37 inference(unit_resolution,[status(thm)],[12902, 1925, 12889])).
% 41.78/27.37 tff(12904,assumption,(v113(constB103)), introduced(assumption)).
% 41.78/27.37 tff(12905,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12906,plain,
% 41.78/27.37 ((v26(constB103) | (~v113(constB103)) | v112(constB103)) <=> (v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 41.78/27.37 inference(rewrite,[status(thm)],[])).
% 41.78/27.37 tff(12907,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103))))),
% 41.78/27.37 inference(monotonicity,[status(thm)],[12906])).
% 41.78/27.37 tff(12908,plain,
% 41.78/27.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 41.78/27.38 inference(transitivity,[status(thm)],[12907, 12905])).
% 41.78/27.38 tff(12909,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12910,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103))),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12909, 12908])).
% 41.78/27.38 tff(12911,plain,
% 41.78/27.38 (v26(constB103) | v112(constB103)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12910, 581, 12904])).
% 41.78/27.38 tff(12912,plain,
% 41.78/27.38 ($false),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12911, 12903, 12896])).
% 41.78/27.38 tff(12913,plain,(v108(constB103) | (~v113(constB103))), inference(lemma,lemma(discharge,[]))).
% 41.78/27.38 tff(12914,plain,
% 41.78/27.38 (v108(constB103)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12913, 12888])).
% 41.78/27.38 tff(12915,plain,
% 41.78/27.38 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12916,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 41.78/27.38 tff(12917,plain,
% 41.78/27.38 (nextState(constB103, constB104)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12916, 12915])).
% 41.78/27.38 tff(12918,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12919,plain,
% 41.78/27.38 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12920,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 41.78/27.38 inference(monotonicity,[status(thm)],[12919])).
% 41.78/27.38 tff(12921,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 41.78/27.38 inference(transitivity,[status(thm)],[12920, 12918])).
% 41.78/27.38 tff(12922,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12923,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12922, 12921])).
% 41.78/27.38 tff(12924,plain,
% 41.78/27.38 (v110(constB104) | (~v108(constB103))),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12923, 731, 12917])).
% 41.78/27.38 tff(12925,plain,
% 41.78/27.38 (v110(constB104)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12924, 12914])).
% 41.78/27.38 tff(12926,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12927,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12928,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12927, 12926])).
% 41.78/27.38 tff(12929,plain,
% 41.78/27.38 (~v104(constB104)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12928, 659, 12917, 12771])).
% 41.78/27.38 tff(12930,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12931,plain,
% 41.78/27.38 (((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)) <=> ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12932,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104)))),
% 41.78/27.38 inference(monotonicity,[status(thm)],[12931])).
% 41.78/27.38 tff(12933,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 41.78/27.38 inference(transitivity,[status(thm)],[12932, 12930])).
% 41.78/27.38 tff(12934,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12935,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 41.78/27.38 tff(12936,plain,
% 41.78/27.38 (v104(constB104) | v102(constB104)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12935, 673, 12917])).
% 41.78/27.38 tff(12937,plain,
% 41.78/27.38 (v102(constB104)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12936, 12929])).
% 41.78/27.38 tff(12938,plain,
% 41.78/27.38 (v1(constB104) <=> v1(constB104)),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12939,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 41.78/27.38 tff(12940,plain,
% 41.78/27.38 (v1(constB104)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12939, 12938])).
% 41.78/27.38 tff(12941,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12942,plain,
% 41.78/27.38 (((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))) <=> ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12943,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104))))),
% 41.78/27.38 inference(monotonicity,[status(thm)],[12942])).
% 41.78/27.38 tff(12944,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 41.78/27.38 inference(transitivity,[status(thm)],[12943, 12941])).
% 41.78/27.38 tff(12945,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12946,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104))),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12945, 12944])).
% 41.78/27.38 tff(12947,plain,
% 41.78/27.38 (v101(constB104) | (~v102(constB104))),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12946, 694, 12917, 12940])).
% 41.78/27.38 tff(12948,plain,
% 41.78/27.38 (v101(constB104)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12947, 12937])).
% 41.78/27.38 tff(12949,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12950,plain,
% 41.78/27.38 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12951,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 41.78/27.38 inference(monotonicity,[status(thm)],[12950])).
% 41.78/27.38 tff(12952,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 41.78/27.38 inference(transitivity,[status(thm)],[12951, 12949])).
% 41.78/27.38 tff(12953,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12954,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12953, 12952])).
% 41.78/27.38 tff(12955,plain,
% 41.78/27.38 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12954, 712, 12917])).
% 41.78/27.38 tff(12956,plain,
% 41.78/27.38 (v100(constB104) | (~v110(constB104))),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12955, 12948])).
% 41.78/27.38 tff(12957,plain,
% 41.78/27.38 (v100(constB104)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12956, 12925])).
% 41.78/27.38 tff(12958,plain,
% 41.78/27.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB103)) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB103)) | v130(constB103, bitIndex2))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12959,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB103)) | v130(constB103, bitIndex2))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12960,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB103)) | v130(constB103, bitIndex2)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12959, 12958])).
% 41.78/27.38 tff(12961,plain,
% 41.78/27.38 (v130(constB103, bitIndex2)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12960, 1074, 12867])).
% 41.78/27.38 tff(12962,assumption,(v26(constB103)), introduced(assumption)).
% 41.78/27.38 tff(12963,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12964,plain,
% 41.78/27.38 ($false),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12963, 95, 12962])).
% 41.78/27.38 tff(12965,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 41.78/27.38 tff(12966,plain,
% 41.78/27.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12967,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12968,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12967, 12966])).
% 41.78/27.38 tff(12969,plain,
% 41.78/27.38 ((~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12968, 607, 12965])).
% 41.78/27.38 tff(12970,plain,
% 41.78/27.38 (v127(constB103, bitIndex2)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12969, 12961])).
% 41.78/27.38 tff(12971,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12972,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12973,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12972, 12971])).
% 41.78/27.38 tff(12974,plain,
% 41.78/27.38 ((~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12973, 625, 12917])).
% 41.78/27.38 tff(12975,plain,
% 41.78/27.38 (v129(constB104, bitIndex2)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12974, 12970])).
% 41.78/27.38 tff(12976,plain,
% 41.78/27.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12977,plain,
% 41.78/27.38 ((v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12978,plain,
% 41.78/27.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))))),
% 41.78/27.38 inference(monotonicity,[status(thm)],[12977])).
% 41.78/27.38 tff(12979,plain,
% 41.78/27.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 41.78/27.38 inference(transitivity,[status(thm)],[12978, 12976])).
% 41.78/27.38 tff(12980,plain,
% 41.78/27.38 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12981,plain,
% 41.78/27.38 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12980, 12979])).
% 41.78/27.38 tff(12982,plain,
% 41.78/27.38 (v90(constB104, bitIndex2) | (~v100(constB104))),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12981, 641, 12975])).
% 41.78/27.38 tff(12983,plain,
% 41.78/27.38 (v90(constB104, bitIndex2)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12982, 12957])).
% 41.78/27.38 tff(12984,plain,
% 41.78/27.38 ((~v1(constB105)) <=> (~v1(constB105))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12985,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 41.78/27.38 tff(12986,plain,
% 41.78/27.38 (~v1(constB105)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12985, 12984])).
% 41.78/27.38 tff(12987,plain,
% 41.78/27.38 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12988,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 41.78/27.38 tff(12989,plain,
% 41.78/27.38 (nextState(constB104, constB105)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12988, 12987])).
% 41.78/27.38 tff(12990,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12991,plain,
% 41.78/27.38 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12992,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 41.78/27.38 inference(monotonicity,[status(thm)],[12991])).
% 41.78/27.38 tff(12993,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 41.78/27.38 inference(transitivity,[status(thm)],[12992, 12990])).
% 41.78/27.38 tff(12994,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12995,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12994, 12993])).
% 41.78/27.38 tff(12996,plain,
% 41.78/27.38 (~v101(constB105)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12995, 391, 12989, 12986])).
% 41.78/27.38 tff(12997,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(12998,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(12999,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[12998, 12997])).
% 41.78/27.38 tff(13000,plain,
% 41.78/27.38 (v101(constB105) | (~v100(constB105))),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[12999, 408, 12989])).
% 41.78/27.38 tff(13001,plain,
% 41.78/27.38 (~v100(constB105)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13000, 12996])).
% 41.78/27.38 tff(13002,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(13003,plain,
% 41.78/27.38 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(13004,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)))),
% 41.78/27.38 inference(monotonicity,[status(thm)],[13003])).
% 41.78/27.38 tff(13005,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 41.78/27.38 inference(transitivity,[status(thm)],[13004, 13002])).
% 41.78/27.38 tff(13006,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(13007,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[13006, 13005])).
% 41.78/27.38 tff(13008,plain,
% 41.78/27.38 ((~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13007, 783, 12989])).
% 41.78/27.38 tff(13009,plain,
% 41.78/27.38 ((~v90(constB104, bitIndex2)) | v90(constB105, bitIndex2)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13008, 13001])).
% 41.78/27.38 tff(13010,plain,
% 41.78/27.38 (v90(constB105, bitIndex2)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13009, 12983])).
% 41.78/27.38 tff(13011,plain,
% 41.78/27.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB103)) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB103)) | v130(constB103, bitIndex1))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(13012,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB103)) | v130(constB103, bitIndex1))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(13013,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB103)) | v130(constB103, bitIndex1)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[13012, 13011])).
% 41.78/27.38 tff(13014,plain,
% 41.78/27.38 (v130(constB103, bitIndex1)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13013, 1130, 12867])).
% 41.78/27.38 tff(13015,plain,
% 41.78/27.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(13016,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(13017,plain,
% 41.78/27.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[13016, 13015])).
% 41.78/27.38 tff(13018,plain,
% 41.78/27.38 ((~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13017, 1144, 12965])).
% 41.78/27.38 tff(13019,plain,
% 41.78/27.38 (v127(constB103, bitIndex1)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13018, 13014])).
% 41.78/27.38 tff(13020,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(13021,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(13022,plain,
% 41.78/27.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[13021, 13020])).
% 41.78/27.38 tff(13023,plain,
% 41.78/27.38 ((~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13022, 1159, 12917])).
% 41.78/27.38 tff(13024,plain,
% 41.78/27.38 (v129(constB104, bitIndex1)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13023, 13019])).
% 41.78/27.38 tff(13025,plain,
% 41.78/27.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(13026,plain,
% 41.78/27.38 ((v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1))) <=> (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(13027,plain,
% 41.78/27.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104))))),
% 41.78/27.38 inference(monotonicity,[status(thm)],[13026])).
% 41.78/27.38 tff(13028,plain,
% 41.78/27.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 41.78/27.38 inference(transitivity,[status(thm)],[13027, 13025])).
% 41.78/27.38 tff(13029,plain,
% 41.78/27.38 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))),
% 41.78/27.38 inference(quant_inst,[status(thm)],[])).
% 41.78/27.38 tff(13030,plain,
% 41.78/27.38 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104))),
% 41.78/27.38 inference(modus_ponens,[status(thm)],[13029, 13028])).
% 41.78/27.38 tff(13031,plain,
% 41.78/27.38 (v90(constB104, bitIndex1) | (~v100(constB104))),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13030, 1174, 13024])).
% 41.78/27.38 tff(13032,plain,
% 41.78/27.38 (v90(constB104, bitIndex1)),
% 41.78/27.38 inference(unit_resolution,[status(thm)],[13031, 12957])).
% 41.78/27.38 tff(13033,plain,
% 41.78/27.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.38 tff(13034,plain,
% 41.78/27.38 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1)) <=> ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 41.78/27.38 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13035,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1)))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13034])).
% 41.78/27.39 tff(13036,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13035, 13033])).
% 41.78/27.39 tff(13037,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13038,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1)),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13037, 13036])).
% 41.78/27.39 tff(13039,plain,
% 41.78/27.39 ((~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13038, 1192, 12989])).
% 41.78/27.39 tff(13040,plain,
% 41.78/27.39 ((~v90(constB104, bitIndex1)) | v90(constB105, bitIndex1)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13039, 13001])).
% 41.78/27.39 tff(13041,plain,
% 41.78/27.39 (v90(constB105, bitIndex1)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13040, 13032])).
% 41.78/27.39 tff(13042,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB103)) | (~v130(constB103, bitIndex0)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13043,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex0)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13044,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB103)) | (~v130(constB103, bitIndex0))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13043, 13042])).
% 41.78/27.39 tff(13045,plain,
% 41.78/27.39 (~v130(constB103, bitIndex0)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13044, 1208, 12867])).
% 41.78/27.39 tff(13046,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13047,plain,
% 41.78/27.39 ((v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0))) <=> ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13048,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13047])).
% 41.78/27.39 tff(13049,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13048, 13046])).
% 41.78/27.39 tff(13050,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13051,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13050, 13049])).
% 41.78/27.39 tff(13052,plain,
% 41.78/27.39 ((~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13051, 907, 12965])).
% 41.78/27.39 tff(13053,plain,
% 41.78/27.39 (~v127(constB103, bitIndex0)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13052, 13045])).
% 41.78/27.39 tff(13054,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13055,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13056,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13055, 13054])).
% 41.78/27.39 tff(13057,plain,
% 41.78/27.39 (v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13056, 937, 12917])).
% 41.78/27.39 tff(13058,plain,
% 41.78/27.39 (~v129(constB104, bitIndex0)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13057, 13053])).
% 41.78/27.39 tff(13059,plain,
% 41.78/27.39 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13060,plain,
% 41.78/27.39 (((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0)) <=> ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13061,plain,
% 41.78/27.39 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13060])).
% 41.78/27.39 tff(13062,plain,
% 41.78/27.39 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13061, 13059])).
% 41.78/27.39 tff(13063,plain,
% 41.78/27.39 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13064,plain,
% 41.78/27.39 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13063, 13062])).
% 41.78/27.39 tff(13065,plain,
% 41.78/27.39 ((~v90(constB104, bitIndex0)) | (~v100(constB104))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13064, 952, 13058])).
% 41.78/27.39 tff(13066,plain,
% 41.78/27.39 (~v90(constB104, bitIndex0)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13065, 12957])).
% 41.78/27.39 tff(13067,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13068,plain,
% 41.78/27.39 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))) <=> (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13069,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13068])).
% 41.78/27.39 tff(13070,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13069, 13067])).
% 41.78/27.39 tff(13071,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13072,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13071, 13070])).
% 41.78/27.39 tff(13073,plain,
% 41.78/27.39 (v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13072, 465, 12989])).
% 41.78/27.39 tff(13074,plain,
% 41.78/27.39 (v90(constB104, bitIndex0) | (~v90(constB105, bitIndex0))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13073, 13001])).
% 41.78/27.39 tff(13075,plain,
% 41.78/27.39 (~v90(constB105, bitIndex0)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13074, 13066])).
% 41.78/27.39 tff(13076,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13077,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13078,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105)),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13077, 13076])).
% 41.78/27.39 tff(13079,plain,
% 41.78/27.39 (v125(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13078, 1252, 13075, 13041, 13010])).
% 41.78/27.39 tff(13080,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB105)) | v113(constB105))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13081,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB105)) | v113(constB105))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13082,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB105)) | v113(constB105)),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13081, 13080])).
% 41.78/27.39 tff(13083,plain,
% 41.78/27.39 (v113(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13082, 1263, 13079])).
% 41.78/27.39 tff(13084,assumption,(v26(constB105)), introduced(assumption)).
% 41.78/27.39 tff(13085,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13086,plain,
% 41.78/27.39 ($false),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13085, 95, 13084])).
% 41.78/27.39 tff(13087,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 41.78/27.39 tff(13088,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13089,plain,
% 41.78/27.39 ((v26(constB105) | (~v113(constB105)) | v112(constB105)) <=> (v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13090,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105))))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13089])).
% 41.78/27.39 tff(13091,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13090, 13088])).
% 41.78/27.39 tff(13092,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13093,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13092, 13091])).
% 41.78/27.39 tff(13094,plain,
% 41.78/27.39 (v112(constB105) | (~v113(constB105))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13093, 581, 13087])).
% 41.78/27.39 tff(13095,plain,
% 41.78/27.39 (v112(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13094, 13083])).
% 41.78/27.39 tff(13096,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13097,plain,
% 41.78/27.39 (((~v112(constB105)) | v108(constB105)) <=> (v108(constB105) | (~v112(constB105)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13098,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105))))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13097])).
% 41.78/27.39 tff(13099,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13098, 13096])).
% 41.78/27.39 tff(13100,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13101,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13100, 13099])).
% 41.78/27.39 tff(13102,plain,
% 41.78/27.39 (v108(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13101, 746, 13095])).
% 41.78/27.39 tff(13103,plain,
% 41.78/27.39 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13104,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 41.78/27.39 tff(13105,plain,
% 41.78/27.39 (nextState(constB105, constB106)),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13104, 13103])).
% 41.78/27.39 tff(13106,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13107,plain,
% 41.78/27.39 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13108,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13107])).
% 41.78/27.39 tff(13109,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13108, 13106])).
% 41.78/27.39 tff(13110,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13111,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13110, 13109])).
% 41.78/27.39 tff(13112,plain,
% 41.78/27.39 (v110(constB106) | (~v108(constB105))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13111, 731, 13105])).
% 41.78/27.39 tff(13113,plain,
% 41.78/27.39 (v110(constB106)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13112, 13102])).
% 41.78/27.39 tff(13114,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13115,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13116,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13115, 13114])).
% 41.78/27.39 tff(13117,plain,
% 41.78/27.39 (~v104(constB106)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13116, 659, 13105, 12986])).
% 41.78/27.39 tff(13118,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13119,plain,
% 41.78/27.39 (((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)) <=> ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13120,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106)))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13119])).
% 41.78/27.39 tff(13121,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13120, 13118])).
% 41.78/27.39 tff(13122,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13123,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106)),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13122, 13121])).
% 41.78/27.39 tff(13124,plain,
% 41.78/27.39 (v104(constB106) | v102(constB106)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13123, 673, 13105])).
% 41.78/27.39 tff(13125,plain,
% 41.78/27.39 (v102(constB106)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13124, 13117])).
% 41.78/27.39 tff(13126,plain,
% 41.78/27.39 (v1(constB106) <=> v1(constB106)),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13127,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 41.78/27.39 tff(13128,plain,
% 41.78/27.39 (v1(constB106)),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13127, 13126])).
% 41.78/27.39 tff(13129,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13130,plain,
% 41.78/27.39 (((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))) <=> ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13131,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106))))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13130])).
% 41.78/27.39 tff(13132,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13131, 13129])).
% 41.78/27.39 tff(13133,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13134,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13133, 13132])).
% 41.78/27.39 tff(13135,plain,
% 41.78/27.39 (v101(constB106) | (~v102(constB106))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13134, 694, 13105, 13128])).
% 41.78/27.39 tff(13136,plain,
% 41.78/27.39 (v101(constB106)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13135, 13125])).
% 41.78/27.39 tff(13137,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13138,plain,
% 41.78/27.39 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13139,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13138])).
% 41.78/27.39 tff(13140,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13139, 13137])).
% 41.78/27.39 tff(13141,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13142,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13141, 13140])).
% 41.78/27.39 tff(13143,plain,
% 41.78/27.39 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13142, 712, 13105])).
% 41.78/27.39 tff(13144,plain,
% 41.78/27.39 (v100(constB106) | (~v110(constB106))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13143, 13136])).
% 41.78/27.39 tff(13145,plain,
% 41.78/27.39 (v100(constB106)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13144, 13113])).
% 41.78/27.39 tff(13146,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB105)) | (~v90(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB105)) | (~v90(constB105, bitIndex2)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13147,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB105)) | (~v90(constB105, bitIndex2)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13148,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB105)) | (~v90(constB105, bitIndex2))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13147, 13146])).
% 41.78/27.39 tff(13149,plain,
% 41.78/27.39 (~v121(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13148, 1336, 13010])).
% 41.78/27.39 tff(13150,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v90(constB105, bitIndex1)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13151,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v90(constB105, bitIndex1)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13152,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v90(constB105, bitIndex1))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13151, 13150])).
% 41.78/27.39 tff(13153,plain,
% 41.78/27.39 (~v119(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13152, 1380, 13041])).
% 41.78/27.39 tff(13154,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v90(constB105, bitIndex1)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13155,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v90(constB105, bitIndex1)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13156,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v90(constB105, bitIndex1))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13155, 13154])).
% 41.78/27.39 tff(13157,plain,
% 41.78/27.39 (~v123(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13156, 1358, 13041])).
% 41.78/27.39 tff(13158,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB105)) | (~v90(constB105, bitIndex1)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13159,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB105)) | (~v90(constB105, bitIndex1)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13160,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB105)) | (~v90(constB105, bitIndex1))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13159, 13158])).
% 41.78/27.39 tff(13161,plain,
% 41.78/27.39 (~v124(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13160, 1369, 13041])).
% 41.78/27.39 tff(13162,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB105)) | (~v90(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB105)) | (~v90(constB105, bitIndex2)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13163,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB105)) | (~v90(constB105, bitIndex2)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13164,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB105)) | (~v90(constB105, bitIndex2))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13163, 13162])).
% 41.78/27.39 tff(13165,plain,
% 41.78/27.39 (~v122(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13164, 1347, 13010])).
% 41.78/27.39 tff(13166,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB105)) | (~v90(constB105, bitIndex1)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13167,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB105)) | (~v90(constB105, bitIndex1)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13168,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB105)) | (~v90(constB105, bitIndex1))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13167, 13166])).
% 41.78/27.39 tff(13169,plain,
% 41.78/27.39 (~v120(constB105)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13168, 1391, 13041])).
% 41.78/27.39 tff(13170,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13171,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13172,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13171, 13170])).
% 41.78/27.39 tff(13173,plain,
% 41.78/27.39 (~v130(constB105, bitIndex2)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13172, 1405, 13169, 13165, 13161, 13157, 13153, 13149])).
% 41.78/27.39 tff(13174,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13175,plain,
% 41.78/27.39 ((v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2))) <=> ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13176,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)))),
% 41.78/27.39 inference(monotonicity,[status(thm)],[13175])).
% 41.78/27.39 tff(13177,plain,
% 41.78/27.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 41.78/27.39 inference(transitivity,[status(thm)],[13176, 13174])).
% 41.78/27.39 tff(13178,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13179,plain,
% 41.78/27.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13178, 13177])).
% 41.78/27.39 tff(13180,plain,
% 41.78/27.39 ((~v127(constB105, bitIndex2)) | v130(constB105, bitIndex2)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13179, 1419, 13087])).
% 41.78/27.39 tff(13181,plain,
% 41.78/27.39 (~v127(constB105, bitIndex2)),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13180, 13173])).
% 41.78/27.39 tff(13182,plain,
% 41.78/27.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))),
% 41.78/27.39 inference(rewrite,[status(thm)],[])).
% 41.78/27.39 tff(13183,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))),
% 41.78/27.39 inference(quant_inst,[status(thm)],[])).
% 41.78/27.39 tff(13184,plain,
% 41.78/27.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 41.78/27.39 inference(modus_ponens,[status(thm)],[13183, 13182])).
% 41.78/27.39 tff(13185,plain,
% 41.78/27.39 (v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 41.78/27.39 inference(unit_resolution,[status(thm)],[13184, 1437, 13105])).
% 41.78/27.39 tff(13186,plain,
% 41.78/27.40 (~v129(constB106, bitIndex2)),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13185, 13181])).
% 41.78/27.40 tff(13187,plain,
% 41.78/27.40 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13188,plain,
% 41.78/27.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 41.78/27.40 inference(quant_inst,[status(thm)],[])).
% 41.78/27.40 tff(13189,plain,
% 41.78/27.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106))),
% 41.78/27.40 inference(modus_ponens,[status(thm)],[13188, 13187])).
% 41.78/27.40 tff(13190,plain,
% 41.78/27.40 ((~v90(constB106, bitIndex2)) | (~v100(constB106))),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13189, 1452, 13186])).
% 41.78/27.40 tff(13191,plain,
% 41.78/27.40 (~v90(constB106, bitIndex2)),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13190, 13145])).
% 41.78/27.40 tff(13192,plain,
% 41.78/27.40 ((~v1(constB107)) <=> (~v1(constB107))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13193,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 41.78/27.40 tff(13194,plain,
% 41.78/27.40 (~v1(constB107)),
% 41.78/27.40 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 41.78/27.40 tff(13195,plain,
% 41.78/27.40 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13196,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 41.78/27.40 tff(13197,plain,
% 41.78/27.40 (nextState(constB106, constB107)),
% 41.78/27.40 inference(modus_ponens,[status(thm)],[13196, 13195])).
% 41.78/27.40 tff(13198,plain,
% 41.78/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13199,plain,
% 41.78/27.40 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13200,plain,
% 41.78/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 41.78/27.40 inference(monotonicity,[status(thm)],[13199])).
% 41.78/27.40 tff(13201,plain,
% 41.78/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 41.78/27.40 inference(transitivity,[status(thm)],[13200, 13198])).
% 41.78/27.40 tff(13202,plain,
% 41.78/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 41.78/27.40 inference(quant_inst,[status(thm)],[])).
% 41.78/27.40 tff(13203,plain,
% 41.78/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 41.78/27.40 inference(modus_ponens,[status(thm)],[13202, 13201])).
% 41.78/27.40 tff(13204,plain,
% 41.78/27.40 (~v101(constB107)),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13203, 391, 13197, 13194])).
% 41.78/27.40 tff(13205,plain,
% 41.78/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13206,plain,
% 41.78/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 41.78/27.40 inference(quant_inst,[status(thm)],[])).
% 41.78/27.40 tff(13207,plain,
% 41.78/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 41.78/27.40 inference(modus_ponens,[status(thm)],[13206, 13205])).
% 41.78/27.40 tff(13208,plain,
% 41.78/27.40 (v101(constB107) | (~v100(constB107))),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13207, 408, 13197])).
% 41.78/27.40 tff(13209,plain,
% 41.78/27.40 (~v100(constB107)),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13208, 13204])).
% 41.78/27.40 tff(13210,plain,
% 41.78/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13211,plain,
% 41.78/27.40 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13212,plain,
% 41.78/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2))))),
% 41.78/27.40 inference(monotonicity,[status(thm)],[13211])).
% 41.78/27.40 tff(13213,plain,
% 41.78/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 41.78/27.40 inference(transitivity,[status(thm)],[13212, 13210])).
% 41.78/27.40 tff(13214,plain,
% 41.78/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 41.78/27.40 inference(quant_inst,[status(thm)],[])).
% 41.78/27.40 tff(13215,plain,
% 41.78/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2))),
% 41.78/27.40 inference(modus_ponens,[status(thm)],[13214, 13213])).
% 41.78/27.40 tff(13216,plain,
% 41.78/27.40 (v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13215, 423, 13197])).
% 41.78/27.40 tff(13217,plain,
% 41.78/27.40 (v90(constB106, bitIndex2) | (~v90(constB107, bitIndex2))),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13216, 13209])).
% 41.78/27.40 tff(13218,plain,
% 41.78/27.40 (~v90(constB107, bitIndex2)),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13217, 13191])).
% 41.78/27.40 tff(13219,plain,
% 41.78/27.40 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13220,plain,
% 41.78/27.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))),
% 41.78/27.40 inference(quant_inst,[status(thm)],[])).
% 41.78/27.40 tff(13221,plain,
% 41.78/27.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1))),
% 41.78/27.40 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 41.78/27.40 tff(13222,plain,
% 41.78/27.40 (~v130(constB105, bitIndex1)),
% 41.78/27.40 inference(unit_resolution,[status(thm)],[13221, 1494, 13169, 13165, 13161, 13157, 13153, 13149])).
% 41.78/27.40 tff(13223,plain,
% 41.78/27.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13224,plain,
% 41.78/27.40 ((v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1))) <=> ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 41.78/27.40 inference(rewrite,[status(thm)],[])).
% 41.78/27.40 tff(13225,plain,
% 41.78/27.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)))),
% 41.78/27.40 inference(monotonicity,[status(thm)],[13224])).
% 41.78/27.40 tff(13226,plain,
% 41.78/27.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 41.78/27.40 inference(transitivity,[status(thm)],[13225, 13223])).
% 41.78/27.40 tff(13227,plain,
% 41.78/27.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))),
% 41.78/27.40 inference(quant_inst,[status(thm)],[])).
% 41.78/27.40 tff(13228,plain,
% 41.78/27.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13227, 13226])).
% 41.80/27.40 tff(13229,plain,
% 41.80/27.40 ((~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13228, 823, 13087])).
% 41.80/27.40 tff(13230,plain,
% 41.80/27.40 (~v127(constB105, bitIndex1)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13229, 13222])).
% 41.80/27.40 tff(13231,plain,
% 41.80/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13232,plain,
% 41.80/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13233,plain,
% 41.80/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 41.80/27.40 tff(13234,plain,
% 41.80/27.40 (v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13233, 853, 13105])).
% 41.80/27.40 tff(13235,plain,
% 41.80/27.40 (~v129(constB106, bitIndex1)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13234, 13230])).
% 41.80/27.40 tff(13236,plain,
% 41.80/27.40 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13237,plain,
% 41.80/27.40 (((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13238,plain,
% 41.80/27.40 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))))),
% 41.80/27.40 inference(monotonicity,[status(thm)],[13237])).
% 41.80/27.40 tff(13239,plain,
% 41.80/27.40 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 41.80/27.40 inference(transitivity,[status(thm)],[13238, 13236])).
% 41.80/27.40 tff(13240,plain,
% 41.80/27.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13241,plain,
% 41.80/27.40 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13240, 13239])).
% 41.80/27.40 tff(13242,plain,
% 41.80/27.40 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13241, 868, 13235])).
% 41.80/27.40 tff(13243,plain,
% 41.80/27.40 (~v90(constB106, bitIndex1)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13242, 13145])).
% 41.80/27.40 tff(13244,plain,
% 41.80/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13245,plain,
% 41.80/27.40 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13246,plain,
% 41.80/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))))),
% 41.80/27.40 inference(monotonicity,[status(thm)],[13245])).
% 41.80/27.40 tff(13247,plain,
% 41.80/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 41.80/27.40 inference(transitivity,[status(thm)],[13246, 13244])).
% 41.80/27.40 tff(13248,plain,
% 41.80/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13249,plain,
% 41.80/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13248, 13247])).
% 41.80/27.40 tff(13250,plain,
% 41.80/27.40 (v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13249, 444, 13197])).
% 41.80/27.40 tff(13251,plain,
% 41.80/27.40 (v90(constB106, bitIndex1) | (~v90(constB107, bitIndex1))),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13250, 13209])).
% 41.80/27.40 tff(13252,plain,
% 41.80/27.40 (~v90(constB107, bitIndex1)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13251, 13243])).
% 41.80/27.40 tff(13253,plain,
% 41.80/27.40 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13254,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13255,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0)),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13254, 13253])).
% 41.80/27.40 tff(13256,plain,
% 41.80/27.40 (v130(constB105, bitIndex0)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13255, 1538, 13169, 13165, 13161, 13157, 13153, 13149])).
% 41.80/27.40 tff(13257,plain,
% 41.80/27.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13258,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13259,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13258, 13257])).
% 41.80/27.40 tff(13260,plain,
% 41.80/27.40 ((~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13259, 1552, 13087])).
% 41.80/27.40 tff(13261,plain,
% 41.80/27.40 (v127(constB105, bitIndex0)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13260, 13256])).
% 41.80/27.40 tff(13262,plain,
% 41.80/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13263,plain,
% 41.80/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13264,plain,
% 41.80/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13263, 13262])).
% 41.80/27.40 tff(13265,plain,
% 41.80/27.40 ((~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13264, 1567, 13105])).
% 41.80/27.40 tff(13266,plain,
% 41.80/27.40 (v129(constB106, bitIndex0)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13265, 13261])).
% 41.80/27.40 tff(13267,plain,
% 41.80/27.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13268,plain,
% 41.80/27.40 ((v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13269,plain,
% 41.80/27.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))))),
% 41.80/27.40 inference(monotonicity,[status(thm)],[13268])).
% 41.80/27.40 tff(13270,plain,
% 41.80/27.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 41.80/27.40 inference(transitivity,[status(thm)],[13269, 13267])).
% 41.80/27.40 tff(13271,plain,
% 41.80/27.40 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13272,plain,
% 41.80/27.40 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13271, 13270])).
% 41.80/27.40 tff(13273,plain,
% 41.80/27.40 (v90(constB106, bitIndex0) | (~v100(constB106))),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13272, 1582, 13266])).
% 41.80/27.40 tff(13274,plain,
% 41.80/27.40 (v90(constB106, bitIndex0)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13273, 13145])).
% 41.80/27.40 tff(13275,plain,
% 41.80/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13276,plain,
% 41.80/27.40 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13277,plain,
% 41.80/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)))),
% 41.80/27.40 inference(monotonicity,[status(thm)],[13276])).
% 41.80/27.40 tff(13278,plain,
% 41.80/27.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 41.80/27.40 inference(transitivity,[status(thm)],[13277, 13275])).
% 41.80/27.40 tff(13279,plain,
% 41.80/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13280,plain,
% 41.80/27.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 41.80/27.40 tff(13281,plain,
% 41.80/27.40 ((~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13280, 1600, 13197])).
% 41.80/27.40 tff(13282,plain,
% 41.80/27.40 ((~v90(constB106, bitIndex0)) | v90(constB107, bitIndex0)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13281, 13209])).
% 41.80/27.40 tff(13283,plain,
% 41.80/27.40 (v90(constB107, bitIndex0)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13282, 13274])).
% 41.80/27.40 tff(13284,plain,
% 41.80/27.40 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13285,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13286,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13285, 13284])).
% 41.80/27.40 tff(13287,plain,
% 41.80/27.40 (v120(constB107)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13286, 1619, 13283, 13252, 13218])).
% 41.80/27.40 tff(13288,plain,
% 41.80/27.40 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB107)) | v118(constB107))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB107)) | v118(constB107))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13289,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB107)) | v118(constB107))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13290,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB107)) | v118(constB107)),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13289, 13288])).
% 41.80/27.40 tff(13291,plain,
% 41.80/27.40 (v118(constB107)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13290, 1630, 13287])).
% 41.80/27.40 tff(13292,plain,
% 41.80/27.40 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB107)) | v117(constB107))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB107)) | v117(constB107))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13293,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB107)) | v117(constB107))),
% 41.80/27.40 inference(quant_inst,[status(thm)],[])).
% 41.80/27.40 tff(13294,plain,
% 41.80/27.40 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB107)) | v117(constB107)),
% 41.80/27.40 inference(modus_ponens,[status(thm)],[13293, 13292])).
% 41.80/27.40 tff(13295,plain,
% 41.80/27.40 (v117(constB107)),
% 41.80/27.40 inference(unit_resolution,[status(thm)],[13294, 511, 13291])).
% 41.80/27.40 tff(13296,plain,
% 41.80/27.40 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB107) | (~v117(constB107)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v117(constB107)))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13297,plain,
% 41.80/27.40 (((~v117(constB107)) | v116(constB107)) <=> (v116(constB107) | (~v117(constB107)))),
% 41.80/27.40 inference(rewrite,[status(thm)],[])).
% 41.80/27.40 tff(13298,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB107)) | v116(constB107))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB107) | (~v117(constB107))))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13297])).
% 41.80/27.41 tff(13299,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB107)) | v116(constB107))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v117(constB107)))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13298, 13296])).
% 41.80/27.41 tff(13300,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB107)) | v116(constB107))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13301,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v117(constB107))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13300, 13299])).
% 41.80/27.41 tff(13302,plain,
% 41.80/27.41 (v116(constB107)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13301, 525, 13295])).
% 41.80/27.41 tff(13303,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB107) | (~v116(constB107)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v116(constB107)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13304,plain,
% 41.80/27.41 (((~v116(constB107)) | v115(constB107)) <=> (v115(constB107) | (~v116(constB107)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13305,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB107)) | v115(constB107))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB107) | (~v116(constB107))))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13304])).
% 41.80/27.41 tff(13306,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB107)) | v115(constB107))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v116(constB107)))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13305, 13303])).
% 41.80/27.41 tff(13307,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB107)) | v115(constB107))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13308,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v116(constB107))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 41.80/27.41 tff(13309,plain,
% 41.80/27.41 (v115(constB107)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13308, 539, 13302])).
% 41.80/27.41 tff(13310,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB107)) | v114(constB107))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13311,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB107)) | v114(constB107))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13312,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB107)) | v114(constB107)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13311, 13310])).
% 41.80/27.41 tff(13313,plain,
% 41.80/27.41 (v114(constB107)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13312, 553, 13309])).
% 41.80/27.41 tff(13314,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB107)) | v113(constB107))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13315,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13316,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB107)) | v113(constB107)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 41.80/27.41 tff(13317,plain,
% 41.80/27.41 (v113(constB107)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13316, 567, 13313])).
% 41.80/27.41 tff(13318,assumption,(v26(constB107)), introduced(assumption)).
% 41.80/27.41 tff(13319,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13320,plain,
% 41.80/27.41 ($false),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13319, 95, 13318])).
% 41.80/27.41 tff(13321,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 41.80/27.41 tff(13322,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13323,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13324,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13323, 13322])).
% 41.80/27.41 tff(13325,plain,
% 41.80/27.41 ((~v113(constB107)) | v112(constB107)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13324, 581, 13321])).
% 41.80/27.41 tff(13326,plain,
% 41.80/27.41 (v112(constB107)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13325, 13317])).
% 41.80/27.41 tff(13327,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13328,plain,
% 41.80/27.41 (((~v112(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v112(constB107)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13329,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107))))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13328])).
% 41.80/27.41 tff(13330,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13329, 13327])).
% 41.80/27.41 tff(13331,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13332,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13331, 13330])).
% 41.80/27.41 tff(13333,plain,
% 41.80/27.41 (v108(constB107)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13332, 746, 13326])).
% 41.80/27.41 tff(13334,plain,
% 41.80/27.41 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13335,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 41.80/27.41 tff(13336,plain,
% 41.80/27.41 (nextState(constB107, constB108)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13335, 13334])).
% 41.80/27.41 tff(13337,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13338,plain,
% 41.80/27.41 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13339,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13338])).
% 41.80/27.41 tff(13340,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13339, 13337])).
% 41.80/27.41 tff(13341,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13342,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13341, 13340])).
% 41.80/27.41 tff(13343,plain,
% 41.80/27.41 (v110(constB108) | (~v108(constB107))),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13342, 731, 13336])).
% 41.80/27.41 tff(13344,plain,
% 41.80/27.41 (v110(constB108)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13343, 13333])).
% 41.80/27.41 tff(13345,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13346,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13347,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13346, 13345])).
% 41.80/27.41 tff(13348,plain,
% 41.80/27.41 (~v104(constB108)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13347, 659, 13336, 13194])).
% 41.80/27.41 tff(13349,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13350,plain,
% 41.80/27.41 (((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)) <=> ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13351,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108)))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13350])).
% 41.80/27.41 tff(13352,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13351, 13349])).
% 41.80/27.41 tff(13353,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13354,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13353, 13352])).
% 41.80/27.41 tff(13355,plain,
% 41.80/27.41 (v104(constB108) | v102(constB108)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13354, 673, 13336])).
% 41.80/27.41 tff(13356,plain,
% 41.80/27.41 (v102(constB108)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13355, 13348])).
% 41.80/27.41 tff(13357,plain,
% 41.80/27.41 (v1(constB108) <=> v1(constB108)),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13358,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 41.80/27.41 tff(13359,plain,
% 41.80/27.41 (v1(constB108)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13358, 13357])).
% 41.80/27.41 tff(13360,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13361,plain,
% 41.80/27.41 (((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))) <=> ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13362,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108))))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13361])).
% 41.80/27.41 tff(13363,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13362, 13360])).
% 41.80/27.41 tff(13364,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13365,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13364, 13363])).
% 41.80/27.41 tff(13366,plain,
% 41.80/27.41 (v101(constB108) | (~v102(constB108))),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13365, 694, 13336, 13359])).
% 41.80/27.41 tff(13367,plain,
% 41.80/27.41 (v101(constB108)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13366, 13356])).
% 41.80/27.41 tff(13368,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13369,plain,
% 41.80/27.41 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13370,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13369])).
% 41.80/27.41 tff(13371,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13370, 13368])).
% 41.80/27.41 tff(13372,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13373,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13372, 13371])).
% 41.80/27.41 tff(13374,plain,
% 41.80/27.41 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13373, 712, 13336])).
% 41.80/27.41 tff(13375,plain,
% 41.80/27.41 (v100(constB108) | (~v110(constB108))),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13374, 13367])).
% 41.80/27.41 tff(13376,plain,
% 41.80/27.41 (v100(constB108)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13375, 13344])).
% 41.80/27.41 tff(13377,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13378,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13379,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13378, 13377])).
% 41.80/27.41 tff(13380,plain,
% 41.80/27.41 (~v130(constB107, bitIndex2)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13379, 1732, 13287])).
% 41.80/27.41 tff(13381,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13382,plain,
% 41.80/27.41 ((v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2))) <=> ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13383,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13382])).
% 41.80/27.41 tff(13384,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13383, 13381])).
% 41.80/27.41 tff(13385,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13386,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13385, 13384])).
% 41.80/27.41 tff(13387,plain,
% 41.80/27.41 ((~v127(constB107, bitIndex2)) | v130(constB107, bitIndex2)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13386, 1419, 13321])).
% 41.80/27.41 tff(13388,plain,
% 41.80/27.41 (~v127(constB107, bitIndex2)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13387, 13380])).
% 41.80/27.41 tff(13389,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13390,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13391,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13390, 13389])).
% 41.80/27.41 tff(13392,plain,
% 41.80/27.41 (v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13391, 1437, 13336])).
% 41.80/27.41 tff(13393,plain,
% 41.80/27.41 (~v129(constB108, bitIndex2)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13392, 13388])).
% 41.80/27.41 tff(13394,plain,
% 41.80/27.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13395,plain,
% 41.80/27.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13396,plain,
% 41.80/27.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13395, 13394])).
% 41.80/27.41 tff(13397,plain,
% 41.80/27.41 ((~v90(constB108, bitIndex2)) | (~v100(constB108))),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13396, 1452, 13393])).
% 41.80/27.41 tff(13398,plain,
% 41.80/27.41 (~v90(constB108, bitIndex2)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13397, 13376])).
% 41.80/27.41 tff(13399,plain,
% 41.80/27.41 ((~v1(constB109)) <=> (~v1(constB109))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13400,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 41.80/27.41 tff(13401,plain,
% 41.80/27.41 (~v1(constB109)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13400, 13399])).
% 41.80/27.41 tff(13402,plain,
% 41.80/27.41 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13403,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 41.80/27.41 tff(13404,plain,
% 41.80/27.41 (nextState(constB108, constB109)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13403, 13402])).
% 41.80/27.41 tff(13405,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13406,plain,
% 41.80/27.41 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13407,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13406])).
% 41.80/27.41 tff(13408,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13407, 13405])).
% 41.80/27.41 tff(13409,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13410,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13409, 13408])).
% 41.80/27.41 tff(13411,plain,
% 41.80/27.41 (~v101(constB109)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13410, 391, 13404, 13401])).
% 41.80/27.41 tff(13412,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13413,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13414,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13413, 13412])).
% 41.80/27.41 tff(13415,plain,
% 41.80/27.41 (v101(constB109) | (~v100(constB109))),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13414, 408, 13404])).
% 41.80/27.41 tff(13416,plain,
% 41.80/27.41 (~v100(constB109)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13415, 13411])).
% 41.80/27.41 tff(13417,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13418,plain,
% 41.80/27.41 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13419,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))))),
% 41.80/27.41 inference(monotonicity,[status(thm)],[13418])).
% 41.80/27.41 tff(13420,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 41.80/27.41 inference(transitivity,[status(thm)],[13419, 13417])).
% 41.80/27.41 tff(13421,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13422,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13421, 13420])).
% 41.80/27.41 tff(13423,plain,
% 41.80/27.41 (v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13422, 423, 13404])).
% 41.80/27.41 tff(13424,plain,
% 41.80/27.41 (v90(constB108, bitIndex2) | (~v90(constB109, bitIndex2))),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13423, 13416])).
% 41.80/27.41 tff(13425,plain,
% 41.80/27.41 (~v90(constB109, bitIndex2)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13424, 13398])).
% 41.80/27.41 tff(13426,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13427,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13428,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13427, 13426])).
% 41.80/27.41 tff(13429,plain,
% 41.80/27.41 (v130(constB107, bitIndex1)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13428, 1788, 13287])).
% 41.80/27.41 tff(13430,plain,
% 41.80/27.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13431,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13432,plain,
% 41.80/27.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13431, 13430])).
% 41.80/27.41 tff(13433,plain,
% 41.80/27.41 ((~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13432, 1144, 13321])).
% 41.80/27.41 tff(13434,plain,
% 41.80/27.41 (v127(constB107, bitIndex1)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13433, 13429])).
% 41.80/27.41 tff(13435,plain,
% 41.80/27.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13436,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 41.80/27.41 inference(quant_inst,[status(thm)],[])).
% 41.80/27.41 tff(13437,plain,
% 41.80/27.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 41.80/27.41 inference(modus_ponens,[status(thm)],[13436, 13435])).
% 41.80/27.41 tff(13438,plain,
% 41.80/27.41 ((~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13437, 1159, 13336])).
% 41.80/27.41 tff(13439,plain,
% 41.80/27.41 (v129(constB108, bitIndex1)),
% 41.80/27.41 inference(unit_resolution,[status(thm)],[13438, 13434])).
% 41.80/27.41 tff(13440,plain,
% 41.80/27.41 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13441,plain,
% 41.80/27.41 ((v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 41.80/27.41 inference(rewrite,[status(thm)],[])).
% 41.80/27.41 tff(13442,plain,
% 41.80/27.41 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))))),
% 41.80/27.42 inference(monotonicity,[status(thm)],[13441])).
% 41.80/27.42 tff(13443,plain,
% 41.80/27.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 41.80/27.42 inference(transitivity,[status(thm)],[13442, 13440])).
% 41.80/27.42 tff(13444,plain,
% 41.80/27.42 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13445,plain,
% 41.80/27.42 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 41.80/27.42 tff(13446,plain,
% 41.80/27.42 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13445, 1174, 13439])).
% 41.80/27.42 tff(13447,plain,
% 41.80/27.42 (v90(constB108, bitIndex1)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13446, 13376])).
% 41.80/27.42 tff(13448,plain,
% 41.80/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13449,plain,
% 41.80/27.42 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13450,plain,
% 41.80/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)))),
% 41.80/27.42 inference(monotonicity,[status(thm)],[13449])).
% 41.80/27.42 tff(13451,plain,
% 41.80/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 41.80/27.42 inference(transitivity,[status(thm)],[13450, 13448])).
% 41.80/27.42 tff(13452,plain,
% 41.80/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13453,plain,
% 41.80/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13452, 13451])).
% 41.80/27.42 tff(13454,plain,
% 41.80/27.42 ((~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13453, 1192, 13404])).
% 41.80/27.42 tff(13455,plain,
% 41.80/27.42 ((~v90(constB108, bitIndex1)) | v90(constB109, bitIndex1)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13454, 13416])).
% 41.80/27.42 tff(13456,plain,
% 41.80/27.42 (v90(constB109, bitIndex1)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13455, 13447])).
% 41.80/27.42 tff(13457,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13458,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13459,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0))),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13458, 13457])).
% 41.80/27.42 tff(13460,plain,
% 41.80/27.42 (~v130(constB107, bitIndex0)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13459, 1826, 13287])).
% 41.80/27.42 tff(13461,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13462,plain,
% 41.80/27.42 ((v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0))) <=> ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13463,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)))),
% 41.80/27.42 inference(monotonicity,[status(thm)],[13462])).
% 41.80/27.42 tff(13464,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 41.80/27.42 inference(transitivity,[status(thm)],[13463, 13461])).
% 41.80/27.42 tff(13465,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13466,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13465, 13464])).
% 41.80/27.42 tff(13467,plain,
% 41.80/27.42 ((~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13466, 907, 13321])).
% 41.80/27.42 tff(13468,plain,
% 41.80/27.42 (~v127(constB107, bitIndex0)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13467, 13460])).
% 41.80/27.42 tff(13469,plain,
% 41.80/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13470,plain,
% 41.80/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13471,plain,
% 41.80/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13470, 13469])).
% 41.80/27.42 tff(13472,plain,
% 41.80/27.42 (v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13471, 937, 13336])).
% 41.80/27.42 tff(13473,plain,
% 41.80/27.42 (~v129(constB108, bitIndex0)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13472, 13468])).
% 41.80/27.42 tff(13474,plain,
% 41.80/27.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13475,plain,
% 41.80/27.42 (((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13476,plain,
% 41.80/27.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))))),
% 41.80/27.42 inference(monotonicity,[status(thm)],[13475])).
% 41.80/27.42 tff(13477,plain,
% 41.80/27.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 41.80/27.42 inference(transitivity,[status(thm)],[13476, 13474])).
% 41.80/27.42 tff(13478,plain,
% 41.80/27.42 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13479,plain,
% 41.80/27.42 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13478, 13477])).
% 41.80/27.42 tff(13480,plain,
% 41.80/27.42 ((~v90(constB108, bitIndex0)) | (~v100(constB108))),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13479, 952, 13473])).
% 41.80/27.42 tff(13481,plain,
% 41.80/27.42 (~v90(constB108, bitIndex0)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13480, 13376])).
% 41.80/27.42 tff(13482,plain,
% 41.80/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13483,plain,
% 41.80/27.42 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13484,plain,
% 41.80/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))))),
% 41.80/27.42 inference(monotonicity,[status(thm)],[13483])).
% 41.80/27.42 tff(13485,plain,
% 41.80/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 41.80/27.42 inference(transitivity,[status(thm)],[13484, 13482])).
% 41.80/27.42 tff(13486,plain,
% 41.80/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13487,plain,
% 41.80/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13486, 13485])).
% 41.80/27.42 tff(13488,plain,
% 41.80/27.42 (v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13487, 465, 13404])).
% 41.80/27.42 tff(13489,plain,
% 41.80/27.42 (v90(constB108, bitIndex0) | (~v90(constB109, bitIndex0))),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13488, 13416])).
% 41.80/27.42 tff(13490,plain,
% 41.80/27.42 (~v90(constB109, bitIndex0)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13489, 13481])).
% 41.80/27.42 tff(13491,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13492,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13493,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109)),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13492, 13491])).
% 41.80/27.42 tff(13494,plain,
% 41.80/27.42 (v121(constB109)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13493, 1870, 13490, 13456, 13425])).
% 41.80/27.42 tff(13495,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB109)) | v117(constB109))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB109)) | v117(constB109))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13496,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB109)) | v117(constB109))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13497,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB109)) | v117(constB109)),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13496, 13495])).
% 41.80/27.42 tff(13498,plain,
% 41.80/27.42 (v117(constB109)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13497, 1881, 13494])).
% 41.80/27.42 tff(13499,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB109) | (~v117(constB109)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB109) | (~v117(constB109)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13500,plain,
% 41.80/27.42 (((~v117(constB109)) | v116(constB109)) <=> (v116(constB109) | (~v117(constB109)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13501,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB109)) | v116(constB109))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB109) | (~v117(constB109))))),
% 41.80/27.42 inference(monotonicity,[status(thm)],[13500])).
% 41.80/27.42 tff(13502,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB109)) | v116(constB109))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB109) | (~v117(constB109)))),
% 41.80/27.42 inference(transitivity,[status(thm)],[13501, 13499])).
% 41.80/27.42 tff(13503,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB109)) | v116(constB109))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13504,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB109) | (~v117(constB109))),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 41.80/27.42 tff(13505,plain,
% 41.80/27.42 (v116(constB109)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13504, 525, 13498])).
% 41.80/27.42 tff(13506,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB109)) | v115(constB109))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB109)) | v115(constB109))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13507,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB109)) | v115(constB109))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13508,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB109)) | v115(constB109)),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 41.80/27.42 tff(13509,plain,
% 41.80/27.42 (v115(constB109)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13508, 539, 13505])).
% 41.80/27.42 tff(13510,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB109) | (~v115(constB109)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB109) | (~v115(constB109)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13511,plain,
% 41.80/27.42 (((~v115(constB109)) | v114(constB109)) <=> (v114(constB109) | (~v115(constB109)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13512,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB109)) | v114(constB109))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB109) | (~v115(constB109))))),
% 41.80/27.42 inference(monotonicity,[status(thm)],[13511])).
% 41.80/27.42 tff(13513,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB109)) | v114(constB109))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB109) | (~v115(constB109)))),
% 41.80/27.42 inference(transitivity,[status(thm)],[13512, 13510])).
% 41.80/27.42 tff(13514,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB109)) | v114(constB109))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13515,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB109) | (~v115(constB109))),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 41.80/27.42 tff(13516,plain,
% 41.80/27.42 (v114(constB109)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13515, 553, 13509])).
% 41.80/27.42 tff(13517,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v114(constB109)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v114(constB109)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13518,plain,
% 41.80/27.42 (((~v114(constB109)) | v113(constB109)) <=> (v113(constB109) | (~v114(constB109)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13519,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v114(constB109))))),
% 41.80/27.42 inference(monotonicity,[status(thm)],[13518])).
% 41.80/27.42 tff(13520,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v114(constB109)))),
% 41.80/27.42 inference(transitivity,[status(thm)],[13519, 13517])).
% 41.80/27.42 tff(13521,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB109)) | v113(constB109))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13522,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v114(constB109))),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13521, 13520])).
% 41.80/27.42 tff(13523,plain,
% 41.80/27.42 (v113(constB109)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13522, 567, 13516])).
% 41.80/27.42 tff(13524,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13525,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13526,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109)),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 41.80/27.42 tff(13527,plain,
% 41.80/27.42 (v26(constB109) | v112(constB109)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13526, 581, 13523])).
% 41.80/27.42 tff(13528,plain,
% 41.80/27.42 (v112(constB109)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13527, 106])).
% 41.80/27.42 tff(13529,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13530,plain,
% 41.80/27.42 (((~v112(constB109)) | v108(constB109)) <=> (v108(constB109) | (~v112(constB109)))),
% 41.80/27.42 inference(rewrite,[status(thm)],[])).
% 41.80/27.42 tff(13531,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109))))),
% 41.80/27.42 inference(monotonicity,[status(thm)],[13530])).
% 41.80/27.42 tff(13532,plain,
% 41.80/27.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 41.80/27.42 inference(transitivity,[status(thm)],[13531, 13529])).
% 41.80/27.42 tff(13533,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))),
% 41.80/27.42 inference(quant_inst,[status(thm)],[])).
% 41.80/27.42 tff(13534,plain,
% 41.80/27.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109))),
% 41.80/27.42 inference(modus_ponens,[status(thm)],[13533, 13532])).
% 41.80/27.42 tff(13535,plain,
% 41.80/27.42 (v108(constB109)),
% 41.80/27.42 inference(unit_resolution,[status(thm)],[13534, 746, 13528])).
% 41.83/27.42 tff(13536,plain,
% 41.83/27.42 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13537,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 41.83/27.42 tff(13538,plain,
% 41.83/27.42 (nextState(constB109, constB110)),
% 41.83/27.42 inference(modus_ponens,[status(thm)],[13537, 13536])).
% 41.83/27.42 tff(13539,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13540,plain,
% 41.83/27.42 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13541,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 41.83/27.42 inference(monotonicity,[status(thm)],[13540])).
% 41.83/27.42 tff(13542,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 41.83/27.42 inference(transitivity,[status(thm)],[13541, 13539])).
% 41.83/27.42 tff(13543,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 41.83/27.42 inference(quant_inst,[status(thm)],[])).
% 41.83/27.42 tff(13544,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 41.83/27.42 inference(modus_ponens,[status(thm)],[13543, 13542])).
% 41.83/27.42 tff(13545,plain,
% 41.83/27.42 (v110(constB110) | (~v108(constB109))),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13544, 731, 13538])).
% 41.83/27.42 tff(13546,plain,
% 41.83/27.42 (v110(constB110)),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13545, 13535])).
% 41.83/27.42 tff(13547,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13548,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 41.83/27.42 inference(quant_inst,[status(thm)],[])).
% 41.83/27.42 tff(13549,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 41.83/27.42 inference(modus_ponens,[status(thm)],[13548, 13547])).
% 41.83/27.42 tff(13550,plain,
% 41.83/27.42 (~v104(constB110)),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13549, 659, 13538, 13401])).
% 41.83/27.42 tff(13551,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13552,plain,
% 41.83/27.42 (((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)) <=> ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13553,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110)))),
% 41.83/27.42 inference(monotonicity,[status(thm)],[13552])).
% 41.83/27.42 tff(13554,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 41.83/27.42 inference(transitivity,[status(thm)],[13553, 13551])).
% 41.83/27.42 tff(13555,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 41.83/27.42 inference(quant_inst,[status(thm)],[])).
% 41.83/27.42 tff(13556,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110)),
% 41.83/27.42 inference(modus_ponens,[status(thm)],[13555, 13554])).
% 41.83/27.42 tff(13557,plain,
% 41.83/27.42 (v104(constB110) | v102(constB110)),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13556, 673, 13538])).
% 41.83/27.42 tff(13558,plain,
% 41.83/27.42 (v102(constB110)),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13557, 13550])).
% 41.83/27.42 tff(13559,plain,
% 41.83/27.42 (v1(constB110) <=> v1(constB110)),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13560,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 41.83/27.42 tff(13561,plain,
% 41.83/27.42 (v1(constB110)),
% 41.83/27.42 inference(modus_ponens,[status(thm)],[13560, 13559])).
% 41.83/27.42 tff(13562,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13563,plain,
% 41.83/27.42 (((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))) <=> ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13564,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110))))),
% 41.83/27.42 inference(monotonicity,[status(thm)],[13563])).
% 41.83/27.42 tff(13565,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 41.83/27.42 inference(transitivity,[status(thm)],[13564, 13562])).
% 41.83/27.42 tff(13566,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 41.83/27.42 inference(quant_inst,[status(thm)],[])).
% 41.83/27.42 tff(13567,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110))),
% 41.83/27.42 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 41.83/27.42 tff(13568,plain,
% 41.83/27.42 (v101(constB110) | (~v102(constB110))),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13567, 694, 13538, 13561])).
% 41.83/27.42 tff(13569,plain,
% 41.83/27.42 (v101(constB110)),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13568, 13558])).
% 41.83/27.42 tff(13570,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13571,plain,
% 41.83/27.42 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13572,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 41.83/27.42 inference(monotonicity,[status(thm)],[13571])).
% 41.83/27.42 tff(13573,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 41.83/27.42 inference(transitivity,[status(thm)],[13572, 13570])).
% 41.83/27.42 tff(13574,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 41.83/27.42 inference(quant_inst,[status(thm)],[])).
% 41.83/27.42 tff(13575,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 41.83/27.42 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 41.83/27.42 tff(13576,plain,
% 41.83/27.42 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13575, 712, 13538])).
% 41.83/27.42 tff(13577,plain,
% 41.83/27.42 (v100(constB110) | (~v110(constB110))),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13576, 13569])).
% 41.83/27.42 tff(13578,plain,
% 41.83/27.42 (v100(constB110)),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13577, 13546])).
% 41.83/27.42 tff(13579,plain,
% 41.83/27.42 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13580,plain,
% 41.83/27.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 41.83/27.42 inference(quant_inst,[status(thm)],[])).
% 41.83/27.42 tff(13581,plain,
% 41.83/27.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2))),
% 41.83/27.42 inference(modus_ponens,[status(thm)],[13580, 13579])).
% 41.83/27.42 tff(13582,plain,
% 41.83/27.42 (~v130(constB109, bitIndex2)),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13581, 1990, 13494])).
% 41.83/27.42 tff(13583,plain,
% 41.83/27.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13584,plain,
% 41.83/27.42 ((v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2))) <=> ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13585,plain,
% 41.83/27.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)))),
% 41.83/27.42 inference(monotonicity,[status(thm)],[13584])).
% 41.83/27.42 tff(13586,plain,
% 41.83/27.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 41.83/27.42 inference(transitivity,[status(thm)],[13585, 13583])).
% 41.83/27.42 tff(13587,plain,
% 41.83/27.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))),
% 41.83/27.42 inference(quant_inst,[status(thm)],[])).
% 41.83/27.42 tff(13588,plain,
% 41.83/27.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)),
% 41.83/27.42 inference(modus_ponens,[status(thm)],[13587, 13586])).
% 41.83/27.42 tff(13589,plain,
% 41.83/27.42 ((~v127(constB109, bitIndex2)) | v26(constB109)),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13588, 1419, 13582])).
% 41.83/27.42 tff(13590,plain,
% 41.83/27.42 (~v127(constB109, bitIndex2)),
% 41.83/27.42 inference(unit_resolution,[status(thm)],[13589, 106])).
% 41.83/27.42 tff(13591,plain,
% 41.83/27.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 41.83/27.42 inference(rewrite,[status(thm)],[])).
% 41.83/27.42 tff(13592,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 41.83/27.42 inference(quant_inst,[status(thm)],[])).
% 41.83/27.42 tff(13593,plain,
% 41.83/27.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13592, 13591])).
% 41.83/27.43 tff(13594,plain,
% 41.83/27.43 (v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13593, 1437, 13538])).
% 41.83/27.43 tff(13595,plain,
% 41.83/27.43 (~v129(constB110, bitIndex2)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13594, 13590])).
% 41.83/27.43 tff(13596,plain,
% 41.83/27.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13597,plain,
% 41.83/27.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13598,plain,
% 41.83/27.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13597, 13596])).
% 41.83/27.43 tff(13599,plain,
% 41.83/27.43 ((~v90(constB110, bitIndex2)) | (~v100(constB110))),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13598, 1452, 13595])).
% 41.83/27.43 tff(13600,plain,
% 41.83/27.43 (~v90(constB110, bitIndex2)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13599, 13578])).
% 41.83/27.43 tff(13601,plain,
% 41.83/27.43 ((~v1(constB111)) <=> (~v1(constB111))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13602,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 41.83/27.43 tff(13603,plain,
% 41.83/27.43 (~v1(constB111)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13602, 13601])).
% 41.83/27.43 tff(13604,plain,
% 41.83/27.43 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13605,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 41.83/27.43 tff(13606,plain,
% 41.83/27.43 (nextState(constB110, constB111)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 41.83/27.43 tff(13607,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13608,plain,
% 41.83/27.43 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13609,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13608])).
% 41.83/27.43 tff(13610,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13609, 13607])).
% 41.83/27.43 tff(13611,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13612,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13611, 13610])).
% 41.83/27.43 tff(13613,plain,
% 41.83/27.43 (~v101(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13612, 391, 13606, 13603])).
% 41.83/27.43 tff(13614,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13615,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13616,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13615, 13614])).
% 41.83/27.43 tff(13617,plain,
% 41.83/27.43 (v101(constB111) | (~v100(constB111))),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13616, 408, 13606])).
% 41.83/27.43 tff(13618,plain,
% 41.83/27.43 (~v100(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13617, 13613])).
% 41.83/27.43 tff(13619,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13620,plain,
% 41.83/27.43 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))) <=> (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13621,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13620])).
% 41.83/27.43 tff(13622,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13621, 13619])).
% 41.83/27.43 tff(13623,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13624,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 41.83/27.43 tff(13625,plain,
% 41.83/27.43 (v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13624, 423, 13606])).
% 41.83/27.43 tff(13626,plain,
% 41.83/27.43 (v90(constB110, bitIndex2) | (~v90(constB111, bitIndex2))),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13625, 13618])).
% 41.83/27.43 tff(13627,plain,
% 41.83/27.43 (~v90(constB111, bitIndex2)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13626, 13600])).
% 41.83/27.43 tff(13628,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13629,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13630,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13629, 13628])).
% 41.83/27.43 tff(13631,plain,
% 41.83/27.43 (v130(constB109, bitIndex1)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13630, 2050, 13494])).
% 41.83/27.43 tff(13632,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13633,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13634,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13633, 13632])).
% 41.83/27.43 tff(13635,plain,
% 41.83/27.43 (v26(constB109) | v127(constB109, bitIndex1)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13634, 1144, 13631])).
% 41.83/27.43 tff(13636,plain,
% 41.83/27.43 (v127(constB109, bitIndex1)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13635, 106])).
% 41.83/27.43 tff(13637,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13638,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13639,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13638, 13637])).
% 41.83/27.43 tff(13640,plain,
% 41.83/27.43 ((~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13639, 1159, 13538])).
% 41.83/27.43 tff(13641,plain,
% 41.83/27.43 (v129(constB110, bitIndex1)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13640, 13636])).
% 41.83/27.43 tff(13642,plain,
% 41.83/27.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13643,plain,
% 41.83/27.43 ((v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13644,plain,
% 41.83/27.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13643])).
% 41.83/27.43 tff(13645,plain,
% 41.83/27.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13644, 13642])).
% 41.83/27.43 tff(13646,plain,
% 41.83/27.43 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13647,plain,
% 41.83/27.43 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13646, 13645])).
% 41.83/27.43 tff(13648,plain,
% 41.83/27.43 (v90(constB110, bitIndex1) | (~v100(constB110))),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13647, 1174, 13641])).
% 41.83/27.43 tff(13649,plain,
% 41.83/27.43 (v90(constB110, bitIndex1)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13648, 13578])).
% 41.83/27.43 tff(13650,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13651,plain,
% 41.83/27.43 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1)) <=> ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13652,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1)))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13651])).
% 41.83/27.43 tff(13653,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13652, 13650])).
% 41.83/27.43 tff(13654,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13655,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13654, 13653])).
% 41.83/27.43 tff(13656,plain,
% 41.83/27.43 ((~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13655, 1192, 13606])).
% 41.83/27.43 tff(13657,plain,
% 41.83/27.43 ((~v90(constB110, bitIndex1)) | v90(constB111, bitIndex1)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13656, 13618])).
% 41.83/27.43 tff(13658,plain,
% 41.83/27.43 (v90(constB111, bitIndex1)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13657, 13649])).
% 41.83/27.43 tff(13659,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13660,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13661,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13660, 13659])).
% 41.83/27.43 tff(13662,plain,
% 41.83/27.43 (v130(constB109, bitIndex0)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13661, 2088, 13494])).
% 41.83/27.43 tff(13663,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13664,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13665,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13664, 13663])).
% 41.83/27.43 tff(13666,plain,
% 41.83/27.43 (v26(constB109) | v127(constB109, bitIndex0)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13665, 1552, 13662])).
% 41.83/27.43 tff(13667,plain,
% 41.83/27.43 (v127(constB109, bitIndex0)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13666, 106])).
% 41.83/27.43 tff(13668,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13669,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13670,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13669, 13668])).
% 41.83/27.43 tff(13671,plain,
% 41.83/27.43 ((~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13670, 1567, 13538])).
% 41.83/27.43 tff(13672,plain,
% 41.83/27.43 (v129(constB110, bitIndex0)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13671, 13667])).
% 41.83/27.43 tff(13673,plain,
% 41.83/27.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13674,plain,
% 41.83/27.43 ((v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13675,plain,
% 41.83/27.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13674])).
% 41.83/27.43 tff(13676,plain,
% 41.83/27.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13675, 13673])).
% 41.83/27.43 tff(13677,plain,
% 41.83/27.43 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13678,plain,
% 41.83/27.43 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13677, 13676])).
% 41.83/27.43 tff(13679,plain,
% 41.83/27.43 (v90(constB110, bitIndex0) | (~v100(constB110))),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13678, 1582, 13672])).
% 41.83/27.43 tff(13680,plain,
% 41.83/27.43 (v90(constB110, bitIndex0)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13679, 13578])).
% 41.83/27.43 tff(13681,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13682,plain,
% 41.83/27.43 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13683,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13682])).
% 41.83/27.43 tff(13684,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13683, 13681])).
% 41.83/27.43 tff(13685,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13686,plain,
% 41.83/27.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13685, 13684])).
% 41.83/27.43 tff(13687,plain,
% 41.83/27.43 ((~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13686, 1600, 13606])).
% 41.83/27.43 tff(13688,plain,
% 41.83/27.43 ((~v90(constB110, bitIndex0)) | v90(constB111, bitIndex0)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13687, 13618])).
% 41.83/27.43 tff(13689,plain,
% 41.83/27.43 (v90(constB111, bitIndex0)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13688, 13680])).
% 41.83/27.43 tff(13690,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13691,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13692,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13691, 13690])).
% 41.83/27.43 tff(13693,plain,
% 41.83/27.43 (v122(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13692, 2129, 13689, 13658, 13627])).
% 41.83/27.43 tff(13694,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB111)) | v116(constB111))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13695,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB111)) | v116(constB111))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13696,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB111)) | v116(constB111)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13695, 13694])).
% 41.83/27.43 tff(13697,plain,
% 41.83/27.43 (v116(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13696, 2140, 13693])).
% 41.83/27.43 tff(13698,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB111)) | v115(constB111))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13699,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13700,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB111)) | v115(constB111)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13699, 13698])).
% 41.83/27.43 tff(13701,plain,
% 41.83/27.43 (v115(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13700, 539, 13697])).
% 41.83/27.43 tff(13702,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13703,plain,
% 41.83/27.43 (((~v115(constB111)) | v114(constB111)) <=> (v114(constB111) | (~v115(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13704,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111))))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13703])).
% 41.83/27.43 tff(13705,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13704, 13702])).
% 41.83/27.43 tff(13706,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13707,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13706, 13705])).
% 41.83/27.43 tff(13708,plain,
% 41.83/27.43 (v114(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13707, 553, 13701])).
% 41.83/27.43 tff(13709,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13710,plain,
% 41.83/27.43 (((~v114(constB111)) | v113(constB111)) <=> (v113(constB111) | (~v114(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13711,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111))))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13710])).
% 41.83/27.43 tff(13712,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13711, 13709])).
% 41.83/27.43 tff(13713,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13714,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13713, 13712])).
% 41.83/27.43 tff(13715,plain,
% 41.83/27.43 (v113(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13714, 567, 13708])).
% 41.83/27.43 tff(13716,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13717,plain,
% 41.83/27.43 ((v26(constB111) | (~v113(constB111)) | v112(constB111)) <=> (v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13718,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111))))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13717])).
% 41.83/27.43 tff(13719,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13718, 13716])).
% 41.83/27.43 tff(13720,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13721,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13720, 13719])).
% 41.83/27.43 tff(13722,plain,
% 41.83/27.43 (v26(constB111) | v112(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13721, 581, 13715])).
% 41.83/27.43 tff(13723,plain,
% 41.83/27.43 (v112(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13722, 102])).
% 41.83/27.43 tff(13724,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13725,plain,
% 41.83/27.43 (((~v112(constB111)) | v108(constB111)) <=> (v108(constB111) | (~v112(constB111)))),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13726,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111))))),
% 41.83/27.43 inference(monotonicity,[status(thm)],[13725])).
% 41.83/27.43 tff(13727,plain,
% 41.83/27.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 41.83/27.43 inference(transitivity,[status(thm)],[13726, 13724])).
% 41.83/27.43 tff(13728,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))),
% 41.83/27.43 inference(quant_inst,[status(thm)],[])).
% 41.83/27.43 tff(13729,plain,
% 41.83/27.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111))),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13728, 13727])).
% 41.83/27.43 tff(13730,plain,
% 41.83/27.43 (v108(constB111)),
% 41.83/27.43 inference(unit_resolution,[status(thm)],[13729, 746, 13723])).
% 41.83/27.43 tff(13731,plain,
% 41.83/27.43 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 41.83/27.43 inference(rewrite,[status(thm)],[])).
% 41.83/27.43 tff(13732,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 41.83/27.43 tff(13733,plain,
% 41.83/27.43 (nextState(constB111, constB112)),
% 41.83/27.43 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 41.83/27.43 tff(13734,plain,
% 41.83/27.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13735,plain,
% 41.83/27.44 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13736,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13735])).
% 41.83/27.44 tff(13737,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13736, 13734])).
% 41.83/27.44 tff(13738,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13739,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13738, 13737])).
% 41.83/27.44 tff(13740,plain,
% 41.83/27.44 (v110(constB112) | (~v108(constB111))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13739, 731, 13733])).
% 41.83/27.44 tff(13741,plain,
% 41.83/27.44 (v110(constB112)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13740, 13730])).
% 41.83/27.44 tff(13742,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13743,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13744,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13743, 13742])).
% 41.83/27.44 tff(13745,plain,
% 41.83/27.44 (~v104(constB112)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13744, 659, 13733, 13603])).
% 41.83/27.44 tff(13746,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13747,plain,
% 41.83/27.44 (((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)) <=> ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13748,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112)))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13747])).
% 41.83/27.44 tff(13749,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13748, 13746])).
% 41.83/27.44 tff(13750,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13751,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112)),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 41.83/27.44 tff(13752,plain,
% 41.83/27.44 (v104(constB112) | v102(constB112)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13751, 673, 13733])).
% 41.83/27.44 tff(13753,plain,
% 41.83/27.44 (v102(constB112)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13752, 13745])).
% 41.83/27.44 tff(13754,plain,
% 41.83/27.44 (v1(constB112) <=> v1(constB112)),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13755,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 41.83/27.44 tff(13756,plain,
% 41.83/27.44 (v1(constB112)),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13755, 13754])).
% 41.83/27.44 tff(13757,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13758,plain,
% 41.83/27.44 (((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))) <=> ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13759,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112))))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13758])).
% 41.83/27.44 tff(13760,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13759, 13757])).
% 41.83/27.44 tff(13761,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13762,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13761, 13760])).
% 41.83/27.44 tff(13763,plain,
% 41.83/27.44 (v101(constB112) | (~v102(constB112))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13762, 694, 13733, 13756])).
% 41.83/27.44 tff(13764,plain,
% 41.83/27.44 (v101(constB112)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13763, 13753])).
% 41.83/27.44 tff(13765,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13766,plain,
% 41.83/27.44 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13767,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13766])).
% 41.83/27.44 tff(13768,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13767, 13765])).
% 41.83/27.44 tff(13769,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13770,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 41.83/27.44 tff(13771,plain,
% 41.83/27.44 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13770, 712, 13733])).
% 41.83/27.44 tff(13772,plain,
% 41.83/27.44 (v100(constB112) | (~v110(constB112))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13771, 13764])).
% 41.83/27.44 tff(13773,plain,
% 41.83/27.44 (v100(constB112)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13772, 13741])).
% 41.83/27.44 tff(13774,plain,
% 41.83/27.44 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB111)) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB111)) | v130(constB111, bitIndex2))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13775,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB111)) | v130(constB111, bitIndex2))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13776,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB111)) | v130(constB111, bitIndex2)),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13775, 13774])).
% 41.83/27.44 tff(13777,plain,
% 41.83/27.44 (v130(constB111, bitIndex2)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13776, 2224, 13693])).
% 41.83/27.44 tff(13778,plain,
% 41.83/27.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13779,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13780,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2)),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13779, 13778])).
% 41.83/27.44 tff(13781,plain,
% 41.83/27.44 (v26(constB111) | v127(constB111, bitIndex2)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13780, 607, 13777])).
% 41.83/27.44 tff(13782,plain,
% 41.83/27.44 (v127(constB111, bitIndex2)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13781, 102])).
% 41.83/27.44 tff(13783,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13784,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13785,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2)),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13784, 13783])).
% 41.83/27.44 tff(13786,plain,
% 41.83/27.44 ((~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13785, 625, 13733])).
% 41.83/27.44 tff(13787,plain,
% 41.83/27.44 (v129(constB112, bitIndex2)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13786, 13782])).
% 41.83/27.44 tff(13788,plain,
% 41.83/27.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13789,plain,
% 41.83/27.44 ((v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13790,plain,
% 41.83/27.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112))))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13789])).
% 41.83/27.44 tff(13791,plain,
% 41.83/27.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13790, 13788])).
% 41.83/27.44 tff(13792,plain,
% 41.83/27.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13793,plain,
% 41.83/27.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13792, 13791])).
% 41.83/27.44 tff(13794,plain,
% 41.83/27.44 (v90(constB112, bitIndex2) | (~v100(constB112))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13793, 641, 13787])).
% 41.83/27.44 tff(13795,plain,
% 41.83/27.44 (v90(constB112, bitIndex2)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13794, 13773])).
% 41.83/27.44 tff(13796,plain,
% 41.83/27.44 ((~v1(constB113)) <=> (~v1(constB113))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13797,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 41.83/27.44 tff(13798,plain,
% 41.83/27.44 (~v1(constB113)),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13797, 13796])).
% 41.83/27.44 tff(13799,plain,
% 41.83/27.44 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13800,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 41.83/27.44 tff(13801,plain,
% 41.83/27.44 (nextState(constB112, constB113)),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 41.83/27.44 tff(13802,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13803,plain,
% 41.83/27.44 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13804,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13803])).
% 41.83/27.44 tff(13805,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13804, 13802])).
% 41.83/27.44 tff(13806,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13807,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13806, 13805])).
% 41.83/27.44 tff(13808,plain,
% 41.83/27.44 (~v101(constB113)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13807, 391, 13801, 13798])).
% 41.83/27.44 tff(13809,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13810,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13811,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13810, 13809])).
% 41.83/27.44 tff(13812,plain,
% 41.83/27.44 (v101(constB113) | (~v100(constB113))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13811, 408, 13801])).
% 41.83/27.44 tff(13813,plain,
% 41.83/27.44 (~v100(constB113)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13812, 13808])).
% 41.83/27.44 tff(13814,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13815,plain,
% 41.83/27.44 (((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2)) <=> ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13816,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2)))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13815])).
% 41.83/27.44 tff(13817,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13816, 13814])).
% 41.83/27.44 tff(13818,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13819,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2)),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13818, 13817])).
% 41.83/27.44 tff(13820,plain,
% 41.83/27.44 ((~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13819, 783, 13801])).
% 41.83/27.44 tff(13821,plain,
% 41.83/27.44 ((~v90(constB112, bitIndex2)) | v90(constB113, bitIndex2)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13820, 13813])).
% 41.83/27.44 tff(13822,plain,
% 41.83/27.44 (v90(constB113, bitIndex2)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13821, 13795])).
% 41.83/27.44 tff(13823,plain,
% 41.83/27.44 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB111)) | (~v130(constB111, bitIndex1)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13824,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex1)))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13825,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB111)) | (~v130(constB111, bitIndex1))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13824, 13823])).
% 41.83/27.44 tff(13826,plain,
% 41.83/27.44 (~v130(constB111, bitIndex1)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13825, 2281, 13693])).
% 41.83/27.44 tff(13827,plain,
% 41.83/27.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13828,plain,
% 41.83/27.44 ((v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1))) <=> ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13829,plain,
% 41.83/27.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1)))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13828])).
% 41.83/27.44 tff(13830,plain,
% 41.83/27.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13829, 13827])).
% 41.83/27.44 tff(13831,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13832,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1)),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13831, 13830])).
% 41.83/27.44 tff(13833,plain,
% 41.83/27.44 ((~v127(constB111, bitIndex1)) | v26(constB111)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13832, 823, 13826])).
% 41.83/27.44 tff(13834,plain,
% 41.83/27.44 (~v127(constB111, bitIndex1)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13833, 102])).
% 41.83/27.44 tff(13835,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13836,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13837,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13836, 13835])).
% 41.83/27.44 tff(13838,plain,
% 41.83/27.44 (v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13837, 853, 13733])).
% 41.83/27.44 tff(13839,plain,
% 41.83/27.44 (~v129(constB112, bitIndex1)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13838, 13834])).
% 41.83/27.44 tff(13840,plain,
% 41.83/27.44 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13841,plain,
% 41.83/27.44 (((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1)) <=> ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13842,plain,
% 41.83/27.44 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112))))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13841])).
% 41.83/27.44 tff(13843,plain,
% 41.83/27.44 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13842, 13840])).
% 41.83/27.44 tff(13844,plain,
% 41.83/27.44 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13845,plain,
% 41.83/27.44 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 41.83/27.44 tff(13846,plain,
% 41.83/27.44 ((~v90(constB112, bitIndex1)) | (~v100(constB112))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13845, 868, 13839])).
% 41.83/27.44 tff(13847,plain,
% 41.83/27.44 (~v90(constB112, bitIndex1)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13846, 13773])).
% 41.83/27.44 tff(13848,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13849,plain,
% 41.83/27.44 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13850,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1))))),
% 41.83/27.44 inference(monotonicity,[status(thm)],[13849])).
% 41.83/27.44 tff(13851,plain,
% 41.83/27.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 41.83/27.44 inference(transitivity,[status(thm)],[13850, 13848])).
% 41.83/27.44 tff(13852,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13853,plain,
% 41.83/27.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13852, 13851])).
% 41.83/27.44 tff(13854,plain,
% 41.83/27.44 (v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13853, 444, 13801])).
% 41.83/27.44 tff(13855,plain,
% 41.83/27.44 (v90(constB112, bitIndex1) | (~v90(constB113, bitIndex1))),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13854, 13813])).
% 41.83/27.44 tff(13856,plain,
% 41.83/27.44 (~v90(constB113, bitIndex1)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13855, 13847])).
% 41.83/27.44 tff(13857,plain,
% 41.83/27.44 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB111)) | (~v130(constB111, bitIndex0)))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13858,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex0)))),
% 41.83/27.44 inference(quant_inst,[status(thm)],[])).
% 41.83/27.44 tff(13859,plain,
% 41.83/27.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB111)) | (~v130(constB111, bitIndex0))),
% 41.83/27.44 inference(modus_ponens,[status(thm)],[13858, 13857])).
% 41.83/27.44 tff(13860,plain,
% 41.83/27.44 (~v130(constB111, bitIndex0)),
% 41.83/27.44 inference(unit_resolution,[status(thm)],[13859, 2327, 13693])).
% 41.83/27.44 tff(13861,plain,
% 41.83/27.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.44 tff(13862,plain,
% 41.83/27.44 ((v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0))) <=> ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 41.83/27.44 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13863,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13862])).
% 41.83/27.45 tff(13864,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13863, 13861])).
% 41.83/27.45 tff(13865,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13866,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13865, 13864])).
% 41.83/27.45 tff(13867,plain,
% 41.83/27.45 ((~v127(constB111, bitIndex0)) | v26(constB111)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13866, 907, 13860])).
% 41.83/27.45 tff(13868,plain,
% 41.83/27.45 (~v127(constB111, bitIndex0)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13867, 102])).
% 41.83/27.45 tff(13869,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13870,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13871,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13870, 13869])).
% 41.83/27.45 tff(13872,plain,
% 41.83/27.45 (v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13871, 937, 13733])).
% 41.83/27.45 tff(13873,plain,
% 41.83/27.45 (~v129(constB112, bitIndex0)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13872, 13868])).
% 41.83/27.45 tff(13874,plain,
% 41.83/27.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13875,plain,
% 41.83/27.45 (((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0)) <=> ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13876,plain,
% 41.83/27.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13875])).
% 41.83/27.45 tff(13877,plain,
% 41.83/27.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13876, 13874])).
% 41.83/27.45 tff(13878,plain,
% 41.83/27.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13879,plain,
% 41.83/27.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13878, 13877])).
% 41.83/27.45 tff(13880,plain,
% 41.83/27.45 ((~v90(constB112, bitIndex0)) | (~v100(constB112))),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13879, 952, 13873])).
% 41.83/27.45 tff(13881,plain,
% 41.83/27.45 (~v90(constB112, bitIndex0)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13880, 13773])).
% 41.83/27.45 tff(13882,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13883,plain,
% 41.83/27.45 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13884,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13883])).
% 41.83/27.45 tff(13885,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13884, 13882])).
% 41.83/27.45 tff(13886,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13887,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13886, 13885])).
% 41.83/27.45 tff(13888,plain,
% 41.83/27.45 (v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13887, 465, 13801])).
% 41.83/27.45 tff(13889,plain,
% 41.83/27.45 (v90(constB112, bitIndex0) | (~v90(constB113, bitIndex0))),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13888, 13813])).
% 41.83/27.45 tff(13890,plain,
% 41.83/27.45 (~v90(constB113, bitIndex0)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13889, 13881])).
% 41.83/27.45 tff(13891,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13892,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13893,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113)),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13892, 13891])).
% 41.83/27.45 tff(13894,plain,
% 41.83/27.45 (v123(constB113)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13893, 979, 13890, 13856, 13822])).
% 41.83/27.45 tff(13895,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB113)) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB113)) | v130(constB113, bitIndex2))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13896,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB113)) | v130(constB113, bitIndex2))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13897,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB113)) | v130(constB113, bitIndex2)),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13896, 13895])).
% 41.83/27.45 tff(13898,plain,
% 41.83/27.45 (v130(constB113, bitIndex2)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13897, 1074, 13894])).
% 41.83/27.45 tff(13899,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13900,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13901,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2)),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 41.83/27.45 tff(13902,plain,
% 41.83/27.45 (v26(constB113) | v127(constB113, bitIndex2)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13901, 607, 13898])).
% 41.83/27.45 tff(13903,plain,
% 41.83/27.45 (v127(constB113, bitIndex2)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13902, 98])).
% 41.83/27.45 tff(13904,plain,
% 41.83/27.45 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13905,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 41.83/27.45 tff(13906,plain,
% 41.83/27.45 (nextState(constB113, constB114)),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13905, 13904])).
% 41.83/27.45 tff(13907,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13908,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13909,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2)),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13908, 13907])).
% 41.83/27.45 tff(13910,plain,
% 41.83/27.45 ((~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13909, 625, 13906])).
% 41.83/27.45 tff(13911,plain,
% 41.83/27.45 (v129(constB114, bitIndex2)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13910, 13903])).
% 41.83/27.45 tff(13912,assumption,(~v108(constB113)), introduced(assumption)).
% 41.83/27.45 tff(13913,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13914,plain,
% 41.83/27.45 (((~v112(constB113)) | v108(constB113)) <=> (v108(constB113) | (~v112(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13915,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13914])).
% 41.83/27.45 tff(13916,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13915, 13913])).
% 41.83/27.45 tff(13917,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13918,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13917, 13916])).
% 41.83/27.45 tff(13919,plain,
% 41.83/27.45 (~v112(constB113)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13918, 746, 13912])).
% 41.83/27.45 tff(13920,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v26(constB113)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v26(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13921,plain,
% 41.83/27.45 (((~v26(constB113)) | v108(constB113)) <=> (v108(constB113) | (~v26(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13922,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v26(constB113))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13921])).
% 41.83/27.45 tff(13923,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v26(constB113)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13922, 13920])).
% 41.83/27.45 tff(13924,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB113)) | v108(constB113))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13925,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v26(constB113))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13924, 13923])).
% 41.83/27.45 tff(13926,plain,
% 41.83/27.45 (~v26(constB113)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13925, 1925, 13912])).
% 41.83/27.45 tff(13927,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB113) | (~v123(constB113)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v123(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13928,plain,
% 41.83/27.45 (((~v123(constB113)) | v115(constB113)) <=> (v115(constB113) | (~v123(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13929,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB113) | (~v123(constB113))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13928])).
% 41.83/27.45 tff(13930,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v123(constB113)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13929, 13927])).
% 41.83/27.45 tff(13931,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB113)) | v115(constB113))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13932,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v123(constB113))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 41.83/27.45 tff(13933,plain,
% 41.83/27.45 (v115(constB113)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13932, 990, 13894])).
% 41.83/27.45 tff(13934,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13935,plain,
% 41.83/27.45 (((~v115(constB113)) | v114(constB113)) <=> (v114(constB113) | (~v115(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13936,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13935])).
% 41.83/27.45 tff(13937,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13936, 13934])).
% 41.83/27.45 tff(13938,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13939,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13938, 13937])).
% 41.83/27.45 tff(13940,plain,
% 41.83/27.45 (v114(constB113)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13939, 553, 13933])).
% 41.83/27.45 tff(13941,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB113)) | v113(constB113))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13942,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13943,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB113)) | v113(constB113)),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13942, 13941])).
% 41.83/27.45 tff(13944,plain,
% 41.83/27.45 (v113(constB113)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13943, 567, 13940])).
% 41.83/27.45 tff(13945,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13946,plain,
% 41.83/27.45 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13947,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13946])).
% 41.83/27.45 tff(13948,plain,
% 41.83/27.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13947, 13945])).
% 41.83/27.45 tff(13949,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13950,plain,
% 41.83/27.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13949, 13948])).
% 41.83/27.45 tff(13951,plain,
% 41.83/27.45 (v26(constB113) | v112(constB113)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13950, 581, 13944])).
% 41.83/27.45 tff(13952,plain,
% 41.83/27.45 ($false),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13951, 13926, 13919])).
% 41.83/27.45 tff(13953,plain,(v108(constB113)), inference(lemma,lemma(discharge,[]))).
% 41.83/27.45 tff(13954,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13955,plain,
% 41.83/27.45 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13956,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13955])).
% 41.83/27.45 tff(13957,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13956, 13954])).
% 41.83/27.45 tff(13958,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13959,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13958, 13957])).
% 41.83/27.45 tff(13960,plain,
% 41.83/27.45 (v110(constB114) | (~v108(constB113))),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13959, 731, 13906])).
% 41.83/27.45 tff(13961,plain,
% 41.83/27.45 (v110(constB114)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13960, 13953])).
% 41.83/27.45 tff(13962,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13963,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13964,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 41.83/27.45 tff(13965,plain,
% 41.83/27.45 (~v104(constB114)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13964, 659, 13906, 13798])).
% 41.83/27.45 tff(13966,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13967,plain,
% 41.83/27.45 (((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)) <=> ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13968,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114)))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13967])).
% 41.83/27.45 tff(13969,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13968, 13966])).
% 41.83/27.45 tff(13970,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13971,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114)),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13970, 13969])).
% 41.83/27.45 tff(13972,plain,
% 41.83/27.45 (v104(constB114) | v102(constB114)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13971, 673, 13906])).
% 41.83/27.45 tff(13973,plain,
% 41.83/27.45 (v102(constB114)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13972, 13965])).
% 41.83/27.45 tff(13974,plain,
% 41.83/27.45 (v1(constB114) <=> v1(constB114)),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13975,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 41.83/27.45 tff(13976,plain,
% 41.83/27.45 (v1(constB114)),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13975, 13974])).
% 41.83/27.45 tff(13977,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13978,plain,
% 41.83/27.45 (((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))) <=> ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13979,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13978])).
% 41.83/27.45 tff(13980,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13979, 13977])).
% 41.83/27.45 tff(13981,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13982,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13981, 13980])).
% 41.83/27.45 tff(13983,plain,
% 41.83/27.45 (v101(constB114) | (~v102(constB114))),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13982, 694, 13906, 13976])).
% 41.83/27.45 tff(13984,plain,
% 41.83/27.45 (v101(constB114)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13983, 13973])).
% 41.83/27.45 tff(13985,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13986,plain,
% 41.83/27.45 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13987,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13986])).
% 41.83/27.45 tff(13988,plain,
% 41.83/27.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13987, 13985])).
% 41.83/27.45 tff(13989,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13990,plain,
% 41.83/27.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13989, 13988])).
% 41.83/27.45 tff(13991,plain,
% 41.83/27.45 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13990, 712, 13906])).
% 41.83/27.45 tff(13992,plain,
% 41.83/27.45 (v100(constB114) | (~v110(constB114))),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13991, 13984])).
% 41.83/27.45 tff(13993,plain,
% 41.83/27.45 (v100(constB114)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13992, 13961])).
% 41.83/27.45 tff(13994,plain,
% 41.83/27.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13995,plain,
% 41.83/27.45 ((v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(13996,plain,
% 41.83/27.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114))))),
% 41.83/27.45 inference(monotonicity,[status(thm)],[13995])).
% 41.83/27.45 tff(13997,plain,
% 41.83/27.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 41.83/27.45 inference(transitivity,[status(thm)],[13996, 13994])).
% 41.83/27.45 tff(13998,plain,
% 41.83/27.45 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))),
% 41.83/27.45 inference(quant_inst,[status(thm)],[])).
% 41.83/27.45 tff(13999,plain,
% 41.83/27.45 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114))),
% 41.83/27.45 inference(modus_ponens,[status(thm)],[13998, 13997])).
% 41.83/27.45 tff(14000,plain,
% 41.83/27.45 (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2))),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[13999, 641, 13993])).
% 41.83/27.45 tff(14001,plain,
% 41.83/27.45 (v90(constB114, bitIndex2)),
% 41.83/27.45 inference(unit_resolution,[status(thm)],[14000, 13911])).
% 41.83/27.45 tff(14002,plain,
% 41.83/27.45 ((~v1(constB115)) <=> (~v1(constB115))),
% 41.83/27.45 inference(rewrite,[status(thm)],[])).
% 41.83/27.45 tff(14003,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 41.83/27.46 tff(14004,plain,
% 41.83/27.46 (~v1(constB115)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14003, 14002])).
% 41.83/27.46 tff(14005,plain,
% 41.83/27.46 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14006,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 41.83/27.46 tff(14007,plain,
% 41.83/27.46 (nextState(constB114, constB115)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14006, 14005])).
% 41.83/27.46 tff(14008,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14009,plain,
% 41.83/27.46 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14010,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14009])).
% 41.83/27.46 tff(14011,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 41.83/27.46 inference(transitivity,[status(thm)],[14010, 14008])).
% 41.83/27.46 tff(14012,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14013,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 41.83/27.46 tff(14014,plain,
% 41.83/27.46 (~v101(constB115)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14013, 391, 14007, 14004])).
% 41.83/27.46 tff(14015,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14016,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14017,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14016, 14015])).
% 41.83/27.46 tff(14018,plain,
% 41.83/27.46 (v101(constB115) | (~v100(constB115))),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14017, 408, 14007])).
% 41.83/27.46 tff(14019,plain,
% 41.83/27.46 (~v100(constB115)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14018, 14014])).
% 41.83/27.46 tff(14020,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14021,plain,
% 41.83/27.46 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2)) <=> ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14022,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2)))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14021])).
% 41.83/27.46 tff(14023,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 41.83/27.46 inference(transitivity,[status(thm)],[14022, 14020])).
% 41.83/27.46 tff(14024,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14025,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14024, 14023])).
% 41.83/27.46 tff(14026,plain,
% 41.83/27.46 ((~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14025, 783, 14007])).
% 41.83/27.46 tff(14027,plain,
% 41.83/27.46 ((~v90(constB114, bitIndex2)) | v90(constB115, bitIndex2)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14026, 14019])).
% 41.83/27.46 tff(14028,plain,
% 41.83/27.46 (v90(constB115, bitIndex2)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14027, 14001])).
% 41.83/27.46 tff(14029,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB113)) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB113)) | v130(constB113, bitIndex1))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14030,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB113)) | v130(constB113, bitIndex1))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14031,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB113)) | v130(constB113, bitIndex1)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14030, 14029])).
% 41.83/27.46 tff(14032,plain,
% 41.83/27.46 (v130(constB113, bitIndex1)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14031, 1130, 13894])).
% 41.83/27.46 tff(14033,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14034,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14035,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14034, 14033])).
% 41.83/27.46 tff(14036,plain,
% 41.83/27.46 (v26(constB113) | v127(constB113, bitIndex1)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14035, 1144, 14032])).
% 41.83/27.46 tff(14037,plain,
% 41.83/27.46 (v127(constB113, bitIndex1)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14036, 98])).
% 41.83/27.46 tff(14038,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14039,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14040,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14039, 14038])).
% 41.83/27.46 tff(14041,plain,
% 41.83/27.46 ((~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14040, 1159, 13906])).
% 41.83/27.46 tff(14042,plain,
% 41.83/27.46 (v129(constB114, bitIndex1)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14041, 14037])).
% 41.83/27.46 tff(14043,plain,
% 41.83/27.46 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14044,plain,
% 41.83/27.46 ((v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14045,plain,
% 41.83/27.46 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14044])).
% 41.83/27.46 tff(14046,plain,
% 41.83/27.46 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 41.83/27.46 inference(transitivity,[status(thm)],[14045, 14043])).
% 41.83/27.46 tff(14047,plain,
% 41.83/27.46 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14048,plain,
% 41.83/27.46 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14047, 14046])).
% 41.83/27.46 tff(14049,plain,
% 41.83/27.46 (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1))),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14048, 1174, 13993])).
% 41.83/27.46 tff(14050,plain,
% 41.83/27.46 (v90(constB114, bitIndex1)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14049, 14042])).
% 41.83/27.46 tff(14051,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14052,plain,
% 41.83/27.46 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14053,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14052])).
% 41.83/27.46 tff(14054,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 41.83/27.46 inference(transitivity,[status(thm)],[14053, 14051])).
% 41.83/27.46 tff(14055,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14056,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14055, 14054])).
% 41.83/27.46 tff(14057,plain,
% 41.83/27.46 ((~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14056, 1192, 14007])).
% 41.83/27.46 tff(14058,plain,
% 41.83/27.46 ((~v90(constB114, bitIndex1)) | v90(constB115, bitIndex1)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14057, 14019])).
% 41.83/27.46 tff(14059,plain,
% 41.83/27.46 (v90(constB115, bitIndex1)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14058, 14050])).
% 41.83/27.46 tff(14060,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB113)) | (~v130(constB113, bitIndex0)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14061,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex0)))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14062,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB113)) | (~v130(constB113, bitIndex0))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14061, 14060])).
% 41.83/27.46 tff(14063,plain,
% 41.83/27.46 (~v130(constB113, bitIndex0)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14062, 1208, 13894])).
% 41.83/27.46 tff(14064,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14065,plain,
% 41.83/27.46 ((v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0))) <=> ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14066,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14065])).
% 41.83/27.46 tff(14067,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 41.83/27.46 inference(transitivity,[status(thm)],[14066, 14064])).
% 41.83/27.46 tff(14068,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14069,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14068, 14067])).
% 41.83/27.46 tff(14070,plain,
% 41.83/27.46 ((~v127(constB113, bitIndex0)) | v26(constB113)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14069, 907, 14063])).
% 41.83/27.46 tff(14071,plain,
% 41.83/27.46 (~v127(constB113, bitIndex0)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14070, 98])).
% 41.83/27.46 tff(14072,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14073,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14074,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14073, 14072])).
% 41.83/27.46 tff(14075,plain,
% 41.83/27.46 (v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14074, 937, 13906])).
% 41.83/27.46 tff(14076,plain,
% 41.83/27.46 (~v129(constB114, bitIndex0)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14075, 14071])).
% 41.83/27.46 tff(14077,plain,
% 41.83/27.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14078,plain,
% 41.83/27.46 (((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14079,plain,
% 41.83/27.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114))))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14078])).
% 41.83/27.46 tff(14080,plain,
% 41.83/27.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 41.83/27.46 inference(transitivity,[status(thm)],[14079, 14077])).
% 41.83/27.46 tff(14081,plain,
% 41.83/27.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14082,plain,
% 41.83/27.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14081, 14080])).
% 41.83/27.46 tff(14083,plain,
% 41.83/27.46 ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14082, 952, 13993])).
% 41.83/27.46 tff(14084,plain,
% 41.83/27.46 (~v90(constB114, bitIndex0)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14083, 14076])).
% 41.83/27.46 tff(14085,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14086,plain,
% 41.83/27.46 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14087,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0))))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14086])).
% 41.83/27.46 tff(14088,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 41.83/27.46 inference(transitivity,[status(thm)],[14087, 14085])).
% 41.83/27.46 tff(14089,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14090,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14089, 14088])).
% 41.83/27.46 tff(14091,plain,
% 41.83/27.46 (v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14090, 465, 14007])).
% 41.83/27.46 tff(14092,plain,
% 41.83/27.46 (v90(constB114, bitIndex0) | (~v90(constB115, bitIndex0))),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14091, 14019])).
% 41.83/27.46 tff(14093,plain,
% 41.83/27.46 (~v90(constB115, bitIndex0)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14092, 14084])).
% 41.83/27.46 tff(14094,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14095,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14096,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14095, 14094])).
% 41.83/27.46 tff(14097,plain,
% 41.83/27.46 (v125(constB115)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14096, 1252, 14093, 14059, 14028])).
% 41.83/27.46 tff(14098,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB115)) | v113(constB115))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14099,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB115)) | v113(constB115))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14100,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB115)) | v113(constB115)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14099, 14098])).
% 41.83/27.46 tff(14101,plain,
% 41.83/27.46 (v113(constB115)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14100, 1263, 14097])).
% 41.83/27.46 tff(14102,assumption,(v26(constB115)), introduced(assumption)).
% 41.83/27.46 tff(14103,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14104,plain,
% 41.83/27.46 ($false),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14103, 95, 14102])).
% 41.83/27.46 tff(14105,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 41.83/27.46 tff(14106,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14107,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14108,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14107, 14106])).
% 41.83/27.46 tff(14109,plain,
% 41.83/27.46 ((~v113(constB115)) | v112(constB115)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14108, 581, 14105])).
% 41.83/27.46 tff(14110,plain,
% 41.83/27.46 (v112(constB115)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14109, 14101])).
% 41.83/27.46 tff(14111,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14112,plain,
% 41.83/27.46 (((~v112(constB115)) | v108(constB115)) <=> (v108(constB115) | (~v112(constB115)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14113,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115))))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14112])).
% 41.83/27.46 tff(14114,plain,
% 41.83/27.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 41.83/27.46 inference(transitivity,[status(thm)],[14113, 14111])).
% 41.83/27.46 tff(14115,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14116,plain,
% 41.83/27.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14115, 14114])).
% 41.83/27.46 tff(14117,plain,
% 41.83/27.46 (v108(constB115)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14116, 746, 14110])).
% 41.83/27.46 tff(14118,plain,
% 41.83/27.46 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14119,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 41.83/27.46 tff(14120,plain,
% 41.83/27.46 (nextState(constB115, constB116)),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14119, 14118])).
% 41.83/27.46 tff(14121,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14122,plain,
% 41.83/27.46 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14123,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14122])).
% 41.83/27.46 tff(14124,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 41.83/27.46 inference(transitivity,[status(thm)],[14123, 14121])).
% 41.83/27.46 tff(14125,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14126,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14125, 14124])).
% 41.83/27.46 tff(14127,plain,
% 41.83/27.46 (v110(constB116) | (~v108(constB115))),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14126, 731, 14120])).
% 41.83/27.46 tff(14128,plain,
% 41.83/27.46 (v110(constB116)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14127, 14117])).
% 41.83/27.46 tff(14129,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14130,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 41.83/27.46 inference(quant_inst,[status(thm)],[])).
% 41.83/27.46 tff(14131,plain,
% 41.83/27.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 41.83/27.46 inference(modus_ponens,[status(thm)],[14130, 14129])).
% 41.83/27.46 tff(14132,plain,
% 41.83/27.46 (~v104(constB116)),
% 41.83/27.46 inference(unit_resolution,[status(thm)],[14131, 659, 14120, 14004])).
% 41.83/27.46 tff(14133,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14134,plain,
% 41.83/27.46 (((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)) <=> ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 41.83/27.46 inference(rewrite,[status(thm)],[])).
% 41.83/27.46 tff(14135,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116)))),
% 41.83/27.46 inference(monotonicity,[status(thm)],[14134])).
% 41.83/27.46 tff(14136,plain,
% 41.83/27.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 41.83/27.47 inference(transitivity,[status(thm)],[14135, 14133])).
% 41.83/27.47 tff(14137,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14138,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116)),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14137, 14136])).
% 41.83/27.47 tff(14139,plain,
% 41.83/27.47 (v104(constB116) | v102(constB116)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14138, 673, 14120])).
% 41.83/27.47 tff(14140,plain,
% 41.83/27.47 (v102(constB116)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14139, 14132])).
% 41.83/27.47 tff(14141,plain,
% 41.83/27.47 (v1(constB116) <=> v1(constB116)),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14142,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 41.83/27.47 tff(14143,plain,
% 41.83/27.47 (v1(constB116)),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14142, 14141])).
% 41.83/27.47 tff(14144,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14145,plain,
% 41.83/27.47 (((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))) <=> ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14146,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116))))),
% 41.83/27.47 inference(monotonicity,[status(thm)],[14145])).
% 41.83/27.47 tff(14147,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 41.83/27.47 inference(transitivity,[status(thm)],[14146, 14144])).
% 41.83/27.47 tff(14148,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14149,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 41.83/27.47 tff(14150,plain,
% 41.83/27.47 (v101(constB116) | (~v102(constB116))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14149, 694, 14120, 14143])).
% 41.83/27.47 tff(14151,plain,
% 41.83/27.47 (v101(constB116)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14150, 14140])).
% 41.83/27.47 tff(14152,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14153,plain,
% 41.83/27.47 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14154,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 41.83/27.47 inference(monotonicity,[status(thm)],[14153])).
% 41.83/27.47 tff(14155,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 41.83/27.47 inference(transitivity,[status(thm)],[14154, 14152])).
% 41.83/27.47 tff(14156,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14157,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14156, 14155])).
% 41.83/27.47 tff(14158,plain,
% 41.83/27.47 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14157, 712, 14120])).
% 41.83/27.47 tff(14159,plain,
% 41.83/27.47 (v100(constB116) | (~v110(constB116))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14158, 14151])).
% 41.83/27.47 tff(14160,plain,
% 41.83/27.47 (v100(constB116)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14159, 14128])).
% 41.83/27.47 tff(14161,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB115)) | (~v90(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB115)) | (~v90(constB115, bitIndex2)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14162,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB115)) | (~v90(constB115, bitIndex2)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14163,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB115)) | (~v90(constB115, bitIndex2))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 41.83/27.47 tff(14164,plain,
% 41.83/27.47 (~v121(constB115)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14163, 1336, 14028])).
% 41.83/27.47 tff(14165,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB115)) | (~v90(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB115)) | (~v90(constB115, bitIndex2)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14166,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB115)) | (~v90(constB115, bitIndex2)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14167,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB115)) | (~v90(constB115, bitIndex2))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14166, 14165])).
% 41.83/27.47 tff(14168,plain,
% 41.83/27.47 (~v122(constB115)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14167, 1347, 14028])).
% 41.83/27.47 tff(14169,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB115)) | (~v90(constB115, bitIndex1)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14170,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex1)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14171,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB115)) | (~v90(constB115, bitIndex1))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14170, 14169])).
% 41.83/27.47 tff(14172,plain,
% 41.83/27.47 (~v119(constB115)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14171, 1380, 14059])).
% 41.83/27.47 tff(14173,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB115)) | (~v90(constB115, bitIndex1)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14174,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB115)) | (~v90(constB115, bitIndex1)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14175,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB115)) | (~v90(constB115, bitIndex1))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14174, 14173])).
% 41.83/27.47 tff(14176,plain,
% 41.83/27.47 (~v120(constB115)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14175, 1391, 14059])).
% 41.83/27.47 tff(14177,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB115)) | (~v90(constB115, bitIndex1)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14178,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB115)) | (~v90(constB115, bitIndex1)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14179,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB115)) | (~v90(constB115, bitIndex1))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14178, 14177])).
% 41.83/27.47 tff(14180,plain,
% 41.83/27.47 (~v124(constB115)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14179, 1369, 14059])).
% 41.83/27.47 tff(14181,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB115)) | (~v90(constB115, bitIndex1)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14182,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB115)) | (~v90(constB115, bitIndex1)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14183,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB115)) | (~v90(constB115, bitIndex1))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14182, 14181])).
% 41.83/27.47 tff(14184,plain,
% 41.83/27.47 (~v123(constB115)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14183, 1358, 14059])).
% 41.83/27.47 tff(14185,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14186,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14187,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14186, 14185])).
% 41.83/27.47 tff(14188,plain,
% 41.83/27.47 (~v130(constB115, bitIndex2)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14187, 1405, 14184, 14180, 14176, 14172, 14168, 14164])).
% 41.83/27.47 tff(14189,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14190,plain,
% 41.83/27.47 ((v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2))) <=> ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14191,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2)))),
% 41.83/27.47 inference(monotonicity,[status(thm)],[14190])).
% 41.83/27.47 tff(14192,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 41.83/27.47 inference(transitivity,[status(thm)],[14191, 14189])).
% 41.83/27.47 tff(14193,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14194,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2)),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14193, 14192])).
% 41.83/27.47 tff(14195,plain,
% 41.83/27.47 ((~v127(constB115, bitIndex2)) | v130(constB115, bitIndex2)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14194, 1419, 14105])).
% 41.83/27.47 tff(14196,plain,
% 41.83/27.47 (~v127(constB115, bitIndex2)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14195, 14188])).
% 41.83/27.47 tff(14197,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14198,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14199,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 41.83/27.47 tff(14200,plain,
% 41.83/27.47 (v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14199, 1437, 14120])).
% 41.83/27.47 tff(14201,plain,
% 41.83/27.47 (~v129(constB116, bitIndex2)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14200, 14196])).
% 41.83/27.47 tff(14202,plain,
% 41.83/27.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14203,plain,
% 41.83/27.47 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14204,plain,
% 41.83/27.47 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14203, 14202])).
% 41.83/27.47 tff(14205,plain,
% 41.83/27.47 ((~v90(constB116, bitIndex2)) | (~v100(constB116))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14204, 1452, 14201])).
% 41.83/27.47 tff(14206,plain,
% 41.83/27.47 (~v90(constB116, bitIndex2)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14205, 14160])).
% 41.83/27.47 tff(14207,plain,
% 41.83/27.47 ((~v1(constB117)) <=> (~v1(constB117))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14208,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 41.83/27.47 tff(14209,plain,
% 41.83/27.47 (~v1(constB117)),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14208, 14207])).
% 41.83/27.47 tff(14210,plain,
% 41.83/27.47 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14211,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 41.83/27.47 tff(14212,plain,
% 41.83/27.47 (nextState(constB116, constB117)),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 41.83/27.47 tff(14213,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14214,plain,
% 41.83/27.47 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14215,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 41.83/27.47 inference(monotonicity,[status(thm)],[14214])).
% 41.83/27.47 tff(14216,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 41.83/27.47 inference(transitivity,[status(thm)],[14215, 14213])).
% 41.83/27.47 tff(14217,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14218,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 41.83/27.47 tff(14219,plain,
% 41.83/27.47 (~v101(constB117)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14218, 391, 14212, 14209])).
% 41.83/27.47 tff(14220,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14221,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14222,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14221, 14220])).
% 41.83/27.47 tff(14223,plain,
% 41.83/27.47 (v101(constB117) | (~v100(constB117))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14222, 408, 14212])).
% 41.83/27.47 tff(14224,plain,
% 41.83/27.47 (~v100(constB117)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14223, 14219])).
% 41.83/27.47 tff(14225,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14226,plain,
% 41.83/27.47 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14227,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2))))),
% 41.83/27.47 inference(monotonicity,[status(thm)],[14226])).
% 41.83/27.47 tff(14228,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 41.83/27.47 inference(transitivity,[status(thm)],[14227, 14225])).
% 41.83/27.47 tff(14229,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14230,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14229, 14228])).
% 41.83/27.47 tff(14231,plain,
% 41.83/27.47 (v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14230, 423, 14212])).
% 41.83/27.47 tff(14232,plain,
% 41.83/27.47 (v90(constB116, bitIndex2) | (~v90(constB117, bitIndex2))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14231, 14224])).
% 41.83/27.47 tff(14233,plain,
% 41.83/27.47 (~v90(constB117, bitIndex2)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14232, 14206])).
% 41.83/27.47 tff(14234,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14235,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14236,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14235, 14234])).
% 41.83/27.47 tff(14237,plain,
% 41.83/27.47 (~v130(constB115, bitIndex1)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14236, 1494, 14184, 14180, 14176, 14172, 14168, 14164])).
% 41.83/27.47 tff(14238,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14239,plain,
% 41.83/27.47 ((v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1))) <=> ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14240,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)))),
% 41.83/27.47 inference(monotonicity,[status(thm)],[14239])).
% 41.83/27.47 tff(14241,plain,
% 41.83/27.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 41.83/27.47 inference(transitivity,[status(thm)],[14240, 14238])).
% 41.83/27.47 tff(14242,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14243,plain,
% 41.83/27.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14242, 14241])).
% 41.83/27.47 tff(14244,plain,
% 41.83/27.47 ((~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14243, 823, 14105])).
% 41.83/27.47 tff(14245,plain,
% 41.83/27.47 (~v127(constB115, bitIndex1)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14244, 14237])).
% 41.83/27.47 tff(14246,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14247,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14248,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14247, 14246])).
% 41.83/27.47 tff(14249,plain,
% 41.83/27.47 (v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14248, 853, 14120])).
% 41.83/27.47 tff(14250,plain,
% 41.83/27.47 (~v129(constB116, bitIndex1)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14249, 14245])).
% 41.83/27.47 tff(14251,plain,
% 41.83/27.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14252,plain,
% 41.83/27.47 (((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1)) <=> ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14253,plain,
% 41.83/27.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))))),
% 41.83/27.47 inference(monotonicity,[status(thm)],[14252])).
% 41.83/27.47 tff(14254,plain,
% 41.83/27.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 41.83/27.47 inference(transitivity,[status(thm)],[14253, 14251])).
% 41.83/27.47 tff(14255,plain,
% 41.83/27.47 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14256,plain,
% 41.83/27.47 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14255, 14254])).
% 41.83/27.47 tff(14257,plain,
% 41.83/27.47 ((~v90(constB116, bitIndex1)) | (~v100(constB116))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14256, 868, 14250])).
% 41.83/27.47 tff(14258,plain,
% 41.83/27.47 (~v90(constB116, bitIndex1)),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14257, 14160])).
% 41.83/27.47 tff(14259,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14260,plain,
% 41.83/27.47 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 41.83/27.47 inference(rewrite,[status(thm)],[])).
% 41.83/27.47 tff(14261,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))))),
% 41.83/27.47 inference(monotonicity,[status(thm)],[14260])).
% 41.83/27.47 tff(14262,plain,
% 41.83/27.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 41.83/27.47 inference(transitivity,[status(thm)],[14261, 14259])).
% 41.83/27.47 tff(14263,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 41.83/27.47 inference(quant_inst,[status(thm)],[])).
% 41.83/27.47 tff(14264,plain,
% 41.83/27.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 41.83/27.47 inference(modus_ponens,[status(thm)],[14263, 14262])).
% 41.83/27.47 tff(14265,plain,
% 41.83/27.47 (v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14264, 444, 14212])).
% 41.83/27.47 tff(14266,plain,
% 41.83/27.47 (v90(constB116, bitIndex1) | (~v90(constB117, bitIndex1))),
% 41.83/27.47 inference(unit_resolution,[status(thm)],[14265, 14224])).
% 41.83/27.48 tff(14267,plain,
% 41.83/27.48 (~v90(constB117, bitIndex1)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14266, 14258])).
% 41.83/27.48 tff(14268,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14269,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14270,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 41.83/27.48 tff(14271,plain,
% 41.83/27.48 (v130(constB115, bitIndex0)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14270, 1538, 14184, 14180, 14176, 14172, 14168, 14164])).
% 41.83/27.48 tff(14272,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14273,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14274,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 41.83/27.48 tff(14275,plain,
% 41.83/27.48 ((~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14274, 1552, 14105])).
% 41.83/27.48 tff(14276,plain,
% 41.83/27.48 (v127(constB115, bitIndex0)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14275, 14271])).
% 41.83/27.48 tff(14277,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14278,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14279,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14278, 14277])).
% 41.83/27.48 tff(14280,plain,
% 41.83/27.48 ((~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14279, 1567, 14120])).
% 41.83/27.48 tff(14281,plain,
% 41.83/27.48 (v129(constB116, bitIndex0)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14280, 14276])).
% 41.83/27.48 tff(14282,plain,
% 41.83/27.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14283,plain,
% 41.83/27.48 ((v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14284,plain,
% 41.83/27.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14283])).
% 41.83/27.48 tff(14285,plain,
% 41.83/27.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14284, 14282])).
% 41.83/27.48 tff(14286,plain,
% 41.83/27.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14287,plain,
% 41.83/27.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14286, 14285])).
% 41.83/27.48 tff(14288,plain,
% 41.83/27.48 (v90(constB116, bitIndex0) | (~v100(constB116))),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14287, 1582, 14281])).
% 41.83/27.48 tff(14289,plain,
% 41.83/27.48 (v90(constB116, bitIndex0)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14288, 14160])).
% 41.83/27.48 tff(14290,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14291,plain,
% 41.83/27.48 (((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14292,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0)))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14291])).
% 41.83/27.48 tff(14293,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14292, 14290])).
% 41.83/27.48 tff(14294,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14295,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14294, 14293])).
% 41.83/27.48 tff(14296,plain,
% 41.83/27.48 ((~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14295, 1600, 14212])).
% 41.83/27.48 tff(14297,plain,
% 41.83/27.48 ((~v90(constB116, bitIndex0)) | v90(constB117, bitIndex0)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14296, 14224])).
% 41.83/27.48 tff(14298,plain,
% 41.83/27.48 (v90(constB117, bitIndex0)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14297, 14289])).
% 41.83/27.48 tff(14299,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14300,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14301,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14300, 14299])).
% 41.83/27.48 tff(14302,plain,
% 41.83/27.48 (v120(constB117)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14301, 1619, 14298, 14267, 14233])).
% 41.83/27.48 tff(14303,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB117)) | v118(constB117))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB117)) | v118(constB117))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14304,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB117)) | v118(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14305,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB117)) | v118(constB117)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14304, 14303])).
% 41.83/27.48 tff(14306,plain,
% 41.83/27.48 (v118(constB117)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14305, 1630, 14302])).
% 41.83/27.48 tff(14307,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB117)) | v117(constB117))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB117)) | v117(constB117))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14308,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB117)) | v117(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14309,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB117)) | v117(constB117)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14308, 14307])).
% 41.83/27.48 tff(14310,plain,
% 41.83/27.48 (v117(constB117)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14309, 511, 14306])).
% 41.83/27.48 tff(14311,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB117) | (~v117(constB117)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB117) | (~v117(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14312,plain,
% 41.83/27.48 (((~v117(constB117)) | v116(constB117)) <=> (v116(constB117) | (~v117(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14313,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB117)) | v116(constB117))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB117) | (~v117(constB117))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14312])).
% 41.83/27.48 tff(14314,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB117)) | v116(constB117))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB117) | (~v117(constB117)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14313, 14311])).
% 41.83/27.48 tff(14315,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB117)) | v116(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14316,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB117) | (~v117(constB117))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14315, 14314])).
% 41.83/27.48 tff(14317,plain,
% 41.83/27.48 (v116(constB117)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14316, 525, 14310])).
% 41.83/27.48 tff(14318,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB117) | (~v116(constB117)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB117) | (~v116(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14319,plain,
% 41.83/27.48 (((~v116(constB117)) | v115(constB117)) <=> (v115(constB117) | (~v116(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14320,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB117) | (~v116(constB117))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14319])).
% 41.83/27.48 tff(14321,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB117) | (~v116(constB117)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14320, 14318])).
% 41.83/27.48 tff(14322,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB117)) | v115(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14323,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB117) | (~v116(constB117))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 41.83/27.48 tff(14324,plain,
% 41.83/27.48 (v115(constB117)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14323, 539, 14317])).
% 41.83/27.48 tff(14325,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14326,plain,
% 41.83/27.48 (((~v115(constB117)) | v114(constB117)) <=> (v114(constB117) | (~v115(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14327,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14326])).
% 41.83/27.48 tff(14328,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14327, 14325])).
% 41.83/27.48 tff(14329,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14330,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 41.83/27.48 tff(14331,plain,
% 41.83/27.48 (v114(constB117)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14330, 553, 14324])).
% 41.83/27.48 tff(14332,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14333,plain,
% 41.83/27.48 (((~v114(constB117)) | v113(constB117)) <=> (v113(constB117) | (~v114(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14334,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14333])).
% 41.83/27.48 tff(14335,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14334, 14332])).
% 41.83/27.48 tff(14336,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14337,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14336, 14335])).
% 41.83/27.48 tff(14338,plain,
% 41.83/27.48 (v113(constB117)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14337, 567, 14331])).
% 41.83/27.48 tff(14339,assumption,(v26(constB117)), introduced(assumption)).
% 41.83/27.48 tff(14340,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14341,plain,
% 41.83/27.48 ($false),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14340, 95, 14339])).
% 41.83/27.48 tff(14342,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 41.83/27.48 tff(14343,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14344,plain,
% 41.83/27.48 ((v26(constB117) | (~v113(constB117)) | v112(constB117)) <=> (v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14345,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14344])).
% 41.83/27.48 tff(14346,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14345, 14343])).
% 41.83/27.48 tff(14347,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14348,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14347, 14346])).
% 41.83/27.48 tff(14349,plain,
% 41.83/27.48 (v112(constB117) | (~v113(constB117))),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14348, 581, 14342])).
% 41.83/27.48 tff(14350,plain,
% 41.83/27.48 (v112(constB117)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14349, 14338])).
% 41.83/27.48 tff(14351,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14352,plain,
% 41.83/27.48 (((~v112(constB117)) | v108(constB117)) <=> (v108(constB117) | (~v112(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14353,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14352])).
% 41.83/27.48 tff(14354,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14353, 14351])).
% 41.83/27.48 tff(14355,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14356,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14355, 14354])).
% 41.83/27.48 tff(14357,plain,
% 41.83/27.48 (v108(constB117)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14356, 746, 14350])).
% 41.83/27.48 tff(14358,plain,
% 41.83/27.48 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14359,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 41.83/27.48 tff(14360,plain,
% 41.83/27.48 (nextState(constB117, constB118)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14359, 14358])).
% 41.83/27.48 tff(14361,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14362,plain,
% 41.83/27.48 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14363,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14362])).
% 41.83/27.48 tff(14364,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14363, 14361])).
% 41.83/27.48 tff(14365,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14366,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14365, 14364])).
% 41.83/27.48 tff(14367,plain,
% 41.83/27.48 (v110(constB118) | (~v108(constB117))),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14366, 731, 14360])).
% 41.83/27.48 tff(14368,plain,
% 41.83/27.48 (v110(constB118)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14367, 14357])).
% 41.83/27.48 tff(14369,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14370,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14371,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14370, 14369])).
% 41.83/27.48 tff(14372,plain,
% 41.83/27.48 (~v104(constB118)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14371, 659, 14360, 14209])).
% 41.83/27.48 tff(14373,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14374,plain,
% 41.83/27.48 (((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)) <=> ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14375,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118)))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14374])).
% 41.83/27.48 tff(14376,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14375, 14373])).
% 41.83/27.48 tff(14377,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14378,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14377, 14376])).
% 41.83/27.48 tff(14379,plain,
% 41.83/27.48 (v104(constB118) | v102(constB118)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14378, 673, 14360])).
% 41.83/27.48 tff(14380,plain,
% 41.83/27.48 (v102(constB118)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14379, 14372])).
% 41.83/27.48 tff(14381,plain,
% 41.83/27.48 (v1(constB118) <=> v1(constB118)),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14382,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 41.83/27.48 tff(14383,plain,
% 41.83/27.48 (v1(constB118)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 41.83/27.48 tff(14384,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14385,plain,
% 41.83/27.48 (((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))) <=> ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14386,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14385])).
% 41.83/27.48 tff(14387,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14386, 14384])).
% 41.83/27.48 tff(14388,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14389,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14388, 14387])).
% 41.83/27.48 tff(14390,plain,
% 41.83/27.48 (v101(constB118) | (~v102(constB118))),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14389, 694, 14360, 14383])).
% 41.83/27.48 tff(14391,plain,
% 41.83/27.48 (v101(constB118)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14390, 14380])).
% 41.83/27.48 tff(14392,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14393,plain,
% 41.83/27.48 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14394,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14393])).
% 41.83/27.48 tff(14395,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14394, 14392])).
% 41.83/27.48 tff(14396,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14397,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14396, 14395])).
% 41.83/27.48 tff(14398,plain,
% 41.83/27.48 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14397, 712, 14360])).
% 41.83/27.48 tff(14399,plain,
% 41.83/27.48 (v100(constB118) | (~v110(constB118))),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14398, 14391])).
% 41.83/27.48 tff(14400,plain,
% 41.83/27.48 (v100(constB118)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14399, 14368])).
% 41.83/27.48 tff(14401,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB117)) | (~v130(constB117, bitIndex2)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14402,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex2)))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14403,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB117)) | (~v130(constB117, bitIndex2))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14402, 14401])).
% 41.83/27.48 tff(14404,plain,
% 41.83/27.48 (~v130(constB117, bitIndex2)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14403, 1732, 14302])).
% 41.83/27.48 tff(14405,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14406,plain,
% 41.83/27.48 ((v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2))) <=> ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14407,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2)))),
% 41.83/27.48 inference(monotonicity,[status(thm)],[14406])).
% 41.83/27.48 tff(14408,plain,
% 41.83/27.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 41.83/27.48 inference(transitivity,[status(thm)],[14407, 14405])).
% 41.83/27.48 tff(14409,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14410,plain,
% 41.83/27.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 41.83/27.48 tff(14411,plain,
% 41.83/27.48 ((~v127(constB117, bitIndex2)) | v130(constB117, bitIndex2)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14410, 1419, 14342])).
% 41.83/27.48 tff(14412,plain,
% 41.83/27.48 (~v127(constB117, bitIndex2)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14411, 14404])).
% 41.83/27.48 tff(14413,plain,
% 41.83/27.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14414,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14415,plain,
% 41.83/27.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14414, 14413])).
% 41.83/27.48 tff(14416,plain,
% 41.83/27.48 (v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2))),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14415, 1437, 14360])).
% 41.83/27.48 tff(14417,plain,
% 41.83/27.48 (~v129(constB118, bitIndex2)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14416, 14412])).
% 41.83/27.48 tff(14418,plain,
% 41.83/27.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14419,plain,
% 41.83/27.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))),
% 41.83/27.48 inference(quant_inst,[status(thm)],[])).
% 41.83/27.48 tff(14420,plain,
% 41.83/27.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118))),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14419, 14418])).
% 41.83/27.48 tff(14421,plain,
% 41.83/27.48 ((~v90(constB118, bitIndex2)) | (~v100(constB118))),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14420, 1452, 14417])).
% 41.83/27.48 tff(14422,plain,
% 41.83/27.48 (~v90(constB118, bitIndex2)),
% 41.83/27.48 inference(unit_resolution,[status(thm)],[14421, 14400])).
% 41.83/27.48 tff(14423,plain,
% 41.83/27.48 ((~v1(constB119)) <=> (~v1(constB119))),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14424,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 41.83/27.48 tff(14425,plain,
% 41.83/27.48 (~v1(constB119)),
% 41.83/27.48 inference(modus_ponens,[status(thm)],[14424, 14423])).
% 41.83/27.48 tff(14426,plain,
% 41.83/27.48 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 41.83/27.48 inference(rewrite,[status(thm)],[])).
% 41.83/27.48 tff(14427,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 41.83/27.49 tff(14428,plain,
% 41.83/27.49 (nextState(constB118, constB119)),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14427, 14426])).
% 41.83/27.49 tff(14429,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14430,plain,
% 41.83/27.49 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14431,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 41.83/27.49 inference(monotonicity,[status(thm)],[14430])).
% 41.83/27.49 tff(14432,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 41.83/27.49 inference(transitivity,[status(thm)],[14431, 14429])).
% 41.83/27.49 tff(14433,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14434,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14433, 14432])).
% 41.83/27.49 tff(14435,plain,
% 41.83/27.49 (~v101(constB119)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14434, 391, 14428, 14425])).
% 41.83/27.49 tff(14436,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14437,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14438,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 41.83/27.49 tff(14439,plain,
% 41.83/27.49 (v101(constB119) | (~v100(constB119))),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14438, 408, 14428])).
% 41.83/27.49 tff(14440,plain,
% 41.83/27.49 (~v100(constB119)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14439, 14435])).
% 41.83/27.49 tff(14441,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14442,plain,
% 41.83/27.49 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14443,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2))))),
% 41.83/27.49 inference(monotonicity,[status(thm)],[14442])).
% 41.83/27.49 tff(14444,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 41.83/27.49 inference(transitivity,[status(thm)],[14443, 14441])).
% 41.83/27.49 tff(14445,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14446,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14445, 14444])).
% 41.83/27.49 tff(14447,plain,
% 41.83/27.49 (v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2))),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14446, 423, 14428])).
% 41.83/27.49 tff(14448,plain,
% 41.83/27.49 (v90(constB118, bitIndex2) | (~v90(constB119, bitIndex2))),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14447, 14440])).
% 41.83/27.49 tff(14449,plain,
% 41.83/27.49 (~v90(constB119, bitIndex2)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14448, 14422])).
% 41.83/27.49 tff(14450,plain,
% 41.83/27.49 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)) <=> ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)))),
% 41.83/27.49 inference(bind,[status(th)],[])).
% 41.83/27.49 tff(14451,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 41.83/27.49 inference(quant_intro,[status(thm)],[14450])).
% 41.83/27.49 tff(14452,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14453,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 41.83/27.49 tff(14454,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14453, 14452])).
% 41.83/27.49 tff(14455,plain,(
% 41.83/27.49 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 41.83/27.49 inference(skolemize,[status(sab)],[14454])).
% 41.83/27.49 tff(14456,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14455, 14451])).
% 41.83/27.49 tff(14457,plain,
% 41.83/27.49 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB119, bitIndex2)) | v90(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB119, bitIndex2)) | v90(constB119, bitIndex2))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14458,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB119, bitIndex2)) | v90(constB119, bitIndex2))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14459,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB119, bitIndex2)) | v90(constB119, bitIndex2)),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14458, 14457])).
% 41.83/27.49 tff(14460,plain,
% 41.83/27.49 (~v88(constB119, bitIndex2)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14459, 14456, 14449])).
% 41.83/27.49 tff(14461,plain,
% 41.83/27.49 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB117)) | (~v130(constB117, bitIndex0)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14462,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex0)))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14463,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB117)) | (~v130(constB117, bitIndex0))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14462, 14461])).
% 41.83/27.49 tff(14464,plain,
% 41.83/27.49 (~v130(constB117, bitIndex0)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14463, 1826, 14302])).
% 41.83/27.49 tff(14465,plain,
% 41.83/27.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14466,plain,
% 41.83/27.49 ((v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0))) <=> ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14467,plain,
% 41.83/27.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0)))),
% 41.83/27.49 inference(monotonicity,[status(thm)],[14466])).
% 41.83/27.49 tff(14468,plain,
% 41.83/27.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 41.83/27.49 inference(transitivity,[status(thm)],[14467, 14465])).
% 41.83/27.49 tff(14469,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14470,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0)),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14469, 14468])).
% 41.83/27.49 tff(14471,plain,
% 41.83/27.49 ((~v127(constB117, bitIndex0)) | v130(constB117, bitIndex0)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14470, 907, 14342])).
% 41.83/27.49 tff(14472,plain,
% 41.83/27.49 (~v127(constB117, bitIndex0)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14471, 14464])).
% 41.83/27.49 tff(14473,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14474,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14475,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14474, 14473])).
% 41.83/27.49 tff(14476,plain,
% 41.83/27.49 (v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0))),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14475, 937, 14360])).
% 41.83/27.49 tff(14477,plain,
% 41.83/27.49 (~v129(constB118, bitIndex0)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14476, 14472])).
% 41.83/27.49 tff(14478,plain,
% 41.83/27.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14479,plain,
% 41.83/27.49 (((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14480,plain,
% 41.83/27.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118))))),
% 41.83/27.49 inference(monotonicity,[status(thm)],[14479])).
% 41.83/27.49 tff(14481,plain,
% 41.83/27.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 41.83/27.49 inference(transitivity,[status(thm)],[14480, 14478])).
% 41.83/27.49 tff(14482,plain,
% 41.83/27.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14483,plain,
% 41.83/27.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14482, 14481])).
% 41.83/27.49 tff(14484,plain,
% 41.83/27.49 ((~v90(constB118, bitIndex0)) | (~v100(constB118))),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14483, 952, 14477])).
% 41.83/27.49 tff(14485,plain,
% 41.83/27.49 (~v90(constB118, bitIndex0)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14484, 14400])).
% 41.83/27.49 tff(14486,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14487,plain,
% 41.83/27.49 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14488,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0))))),
% 41.83/27.49 inference(monotonicity,[status(thm)],[14487])).
% 41.83/27.49 tff(14489,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 41.83/27.49 inference(transitivity,[status(thm)],[14488, 14486])).
% 41.83/27.49 tff(14490,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14491,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14490, 14489])).
% 41.83/27.49 tff(14492,plain,
% 41.83/27.49 (v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0))),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14491, 465, 14428])).
% 41.83/27.49 tff(14493,plain,
% 41.83/27.49 (v90(constB118, bitIndex0) | (~v90(constB119, bitIndex0))),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14492, 14440])).
% 41.83/27.49 tff(14494,plain,
% 41.83/27.49 (~v90(constB119, bitIndex0)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14493, 14485])).
% 41.83/27.49 tff(14495,plain,
% 41.83/27.49 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)))),
% 41.83/27.49 inference(bind,[status(th)],[])).
% 41.83/27.49 tff(14496,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 41.83/27.49 inference(quant_intro,[status(thm)],[14495])).
% 41.83/27.49 tff(14497,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14498,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 41.83/27.49 tff(14499,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14498, 14497])).
% 41.83/27.49 tff(14500,plain,(
% 41.83/27.49 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 41.83/27.49 inference(skolemize,[status(sab)],[14499])).
% 41.83/27.49 tff(14501,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14500, 14496])).
% 41.83/27.49 tff(14502,plain,
% 41.83/27.49 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB119, bitIndex0)) | v90(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB119, bitIndex0)) | v90(constB119, bitIndex0))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14503,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB119, bitIndex0)) | v90(constB119, bitIndex0))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14504,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB119, bitIndex0)) | v90(constB119, bitIndex0)),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14503, 14502])).
% 41.83/27.49 tff(14505,plain,
% 41.83/27.49 (~v88(constB119, bitIndex0)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14504, 14501, 14494])).
% 41.83/27.49 tff(14506,plain,
% 41.83/27.49 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB117)) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB117)) | v130(constB117, bitIndex1))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14507,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB117)) | v130(constB117, bitIndex1))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14508,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB117)) | v130(constB117, bitIndex1)),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14507, 14506])).
% 41.83/27.49 tff(14509,plain,
% 41.83/27.49 (v130(constB117, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14508, 1788, 14302])).
% 41.83/27.49 tff(14510,plain,
% 41.83/27.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14511,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14512,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1)),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14511, 14510])).
% 41.83/27.49 tff(14513,plain,
% 41.83/27.49 ((~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14512, 1144, 14342])).
% 41.83/27.49 tff(14514,plain,
% 41.83/27.49 (v127(constB117, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14513, 14509])).
% 41.83/27.49 tff(14515,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14516,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14517,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1)),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14516, 14515])).
% 41.83/27.49 tff(14518,plain,
% 41.83/27.49 ((~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14517, 1159, 14360])).
% 41.83/27.49 tff(14519,plain,
% 41.83/27.49 (v129(constB118, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14518, 14514])).
% 41.83/27.49 tff(14520,plain,
% 41.83/27.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14521,plain,
% 41.83/27.49 ((v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14522,plain,
% 41.83/27.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118))))),
% 41.83/27.49 inference(monotonicity,[status(thm)],[14521])).
% 41.83/27.49 tff(14523,plain,
% 41.83/27.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 41.83/27.49 inference(transitivity,[status(thm)],[14522, 14520])).
% 41.83/27.49 tff(14524,plain,
% 41.83/27.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14525,plain,
% 41.83/27.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14524, 14523])).
% 41.83/27.49 tff(14526,plain,
% 41.83/27.49 (v90(constB118, bitIndex1) | (~v100(constB118))),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14525, 1174, 14519])).
% 41.83/27.49 tff(14527,plain,
% 41.83/27.49 (v90(constB118, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14526, 14400])).
% 41.83/27.49 tff(14528,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14529,plain,
% 41.83/27.49 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14530,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1)))),
% 41.83/27.49 inference(monotonicity,[status(thm)],[14529])).
% 41.83/27.49 tff(14531,plain,
% 41.83/27.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 41.83/27.49 inference(transitivity,[status(thm)],[14530, 14528])).
% 41.83/27.49 tff(14532,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14533,plain,
% 41.83/27.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1)),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14532, 14531])).
% 41.83/27.49 tff(14534,plain,
% 41.83/27.49 ((~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14533, 1192, 14428])).
% 41.83/27.49 tff(14535,plain,
% 41.83/27.49 ((~v90(constB118, bitIndex1)) | v90(constB119, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14534, 14440])).
% 41.83/27.49 tff(14536,plain,
% 41.83/27.49 (v90(constB119, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14535, 14527])).
% 41.83/27.49 tff(14537,plain,
% 41.83/27.49 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 41.83/27.49 inference(bind,[status(th)],[])).
% 41.83/27.49 tff(14538,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 41.83/27.49 inference(quant_intro,[status(thm)],[14537])).
% 41.83/27.49 tff(14539,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14540,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 41.83/27.49 tff(14541,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14540, 14539])).
% 41.83/27.49 tff(14542,plain,(
% 41.83/27.49 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 41.83/27.49 inference(skolemize,[status(sab)],[14541])).
% 41.83/27.49 tff(14543,plain,
% 41.83/27.49 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14542, 14538])).
% 41.83/27.49 tff(14544,plain,
% 41.83/27.49 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB119, bitIndex1)) | v88(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB119, bitIndex1)) | v88(constB119, bitIndex1))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14545,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB119, bitIndex1)) | v88(constB119, bitIndex1))),
% 41.83/27.49 inference(quant_inst,[status(thm)],[])).
% 41.83/27.49 tff(14546,plain,
% 41.83/27.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB119, bitIndex1)) | v88(constB119, bitIndex1)),
% 41.83/27.49 inference(modus_ponens,[status(thm)],[14545, 14544])).
% 41.83/27.49 tff(14547,plain,
% 41.83/27.49 (v88(constB119, bitIndex1)),
% 41.83/27.49 inference(unit_resolution,[status(thm)],[14546, 14543, 14536])).
% 41.83/27.49 tff(14548,plain,
% 41.83/27.49 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)))),
% 41.83/27.49 inference(bind,[status(th)],[])).
% 41.83/27.49 tff(14549,plain,
% 41.83/27.49 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 41.83/27.49 inference(quant_intro,[status(thm)],[14548])).
% 41.83/27.49 tff(14550,plain,
% 41.83/27.49 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 41.83/27.49 inference(rewrite,[status(thm)],[])).
% 41.83/27.49 tff(14551,plain,
% 41.83/27.49 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v143(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14552,plain,
% 41.83/27.50 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14551])).
% 41.83/27.50 tff(14553,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 41.83/27.50 tff(14554,plain,
% 41.83/27.50 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14553, 14552])).
% 41.83/27.50 tff(14555,plain,
% 41.83/27.50 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14554, 14550])).
% 41.83/27.50 tff(14556,plain,(
% 41.83/27.50 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14555])).
% 41.83/27.50 tff(14557,plain,
% 41.83/27.50 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14556, 14549])).
% 41.83/27.50 tff(14558,plain,
% 41.83/27.50 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0) | v143(constB119))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0) | v143(constB119))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14559,plain,
% 41.83/27.50 ((v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0) | v143(constB119)) <=> ((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0) | v143(constB119))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14560,plain,
% 41.83/27.50 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0) | v143(constB119))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0) | v143(constB119)))),
% 41.83/27.50 inference(monotonicity,[status(thm)],[14559])).
% 41.83/27.50 tff(14561,plain,
% 41.83/27.50 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0) | v143(constB119))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0) | v143(constB119))),
% 41.83/27.50 inference(transitivity,[status(thm)],[14560, 14558])).
% 41.83/27.50 tff(14562,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex0) | v143(constB119))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14563,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0) | v143(constB119)),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14562, 14561])).
% 41.83/27.50 tff(14564,plain,
% 41.83/27.50 (v143(constB119)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14563, 14557, 14547, 14505, 14460])).
% 41.83/27.50 tff(14565,plain,
% 41.83/27.50 (^[VarCurr: state_type] : refl(((~v143(VarCurr)) | v142(VarCurr)) <=> ((~v143(VarCurr)) | v142(VarCurr)))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14566,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14565])).
% 41.83/27.50 tff(14567,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14568,axiom,(![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 41.83/27.50 tff(14569,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14568, 14567])).
% 41.83/27.50 tff(14570,plain,(
% 41.83/27.50 ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14569])).
% 41.83/27.50 tff(14571,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14570, 14566])).
% 41.83/27.50 tff(14572,plain,
% 41.83/27.50 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB119)) | v142(constB119))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB119)) | v142(constB119))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14573,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB119)) | v142(constB119))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14574,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB119)) | v142(constB119)),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14573, 14572])).
% 41.83/27.50 tff(14575,plain,
% 41.83/27.50 (v142(constB119)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14574, 14571, 14564])).
% 41.83/27.50 tff(14576,plain,
% 41.83/27.50 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v167(VarCurr)) <=> ((~v142(VarCurr)) | v167(VarCurr)))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14577,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14576])).
% 41.83/27.50 tff(14578,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14579,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 41.83/27.50 tff(14580,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14579, 14578])).
% 41.83/27.50 tff(14581,plain,(
% 41.83/27.50 ![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14580])).
% 41.83/27.50 tff(14582,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14581, 14577])).
% 41.83/27.50 tff(14583,plain,
% 41.83/27.50 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB119)) | v167(constB119))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB119)) | v167(constB119))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14584,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB119)) | v167(constB119))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14585,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB119)) | v167(constB119)),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14584, 14583])).
% 41.83/27.50 tff(14586,plain,
% 41.83/27.50 (v167(constB119)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14585, 14582, 14575])).
% 41.83/27.50 tff(14587,plain,
% 41.83/27.50 (^[VarCurr: state_type] : refl(((~v167(VarCurr)) | (~v170(VarCurr))) <=> ((~v167(VarCurr)) | (~v170(VarCurr))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14588,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14587])).
% 41.83/27.50 tff(14589,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14590,axiom,(![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1_1')).
% 41.83/27.50 tff(14591,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14590, 14589])).
% 41.83/27.50 tff(14592,plain,(
% 41.83/27.50 ![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14591])).
% 41.83/27.50 tff(14593,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14592, 14588])).
% 41.83/27.50 tff(14594,plain,
% 41.83/27.50 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB119)) | (~v170(constB119)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB119)) | (~v170(constB119)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14595,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB119)) | (~v170(constB119)))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14596,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB119)) | (~v170(constB119))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14595, 14594])).
% 41.83/27.50 tff(14597,plain,
% 41.83/27.50 (~v170(constB119)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14596, 14593, 14586])).
% 41.83/27.50 tff(14598,plain,
% 41.83/27.50 (^[VarCurr: state_type] : refl((v166(VarCurr) | (~v167(VarCurr))) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14599,plain,
% 41.83/27.50 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14598])).
% 41.83/27.50 tff(14600,plain,
% 41.83/27.50 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14601,plain,
% 41.83/27.50 (^[VarCurr: state_type] : rewrite(((~v167(VarCurr)) | v166(VarCurr)) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14602,plain,
% 41.83/27.50 (![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14601])).
% 41.83/27.50 tff(14603,axiom,(![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_1')).
% 41.83/27.50 tff(14604,plain,
% 41.83/27.50 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14603, 14602])).
% 41.83/27.50 tff(14605,plain,
% 41.83/27.50 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14604, 14600])).
% 41.83/27.50 tff(14606,plain,(
% 41.83/27.50 ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14605])).
% 41.83/27.50 tff(14607,plain,
% 41.83/27.50 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14606, 14599])).
% 41.83/27.50 tff(14608,plain,
% 41.83/27.50 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB119) | (~v167(constB119)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB119) | (~v167(constB119)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14609,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB119) | (~v167(constB119)))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14610,plain,
% 41.83/27.50 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB119) | (~v167(constB119))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14609, 14608])).
% 41.83/27.50 tff(14611,plain,
% 41.83/27.50 (v166(constB119)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14610, 14607, 14586])).
% 41.83/27.50 tff(14612,plain,
% 41.83/27.50 (^[VarNext: state_type] : refl(((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14613,plain,
% 41.83/27.50 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14612])).
% 41.83/27.50 tff(14614,plain,
% 41.83/27.50 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14615,plain,
% 41.83/27.50 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v166(VarNext)) | (~v163(VarNext))) <=> ((~v166(VarNext)) | (~v163(VarNext)))), ((((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> (((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)))), rewrite((((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))), ((((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14616,plain,
% 41.83/27.50 (![VarNext: state_type] : (((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14615])).
% 41.83/27.50 tff(14617,axiom,(![VarNext: state_type] : (((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_2')).
% 41.83/27.50 tff(14618,plain,
% 41.83/27.50 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14617, 14616])).
% 41.83/27.50 tff(14619,plain,
% 41.83/27.50 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14618, 14614])).
% 41.83/27.50 tff(14620,plain,(
% 41.83/27.50 ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14619])).
% 41.83/27.50 tff(14621,plain,
% 41.83/27.50 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14620, 14613])).
% 41.83/27.50 tff(14622,plain,
% 41.83/27.50 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB119)) | (~v166(constB119)) | v170(constB119))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB119)) | (~v166(constB119)) | v170(constB119))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14623,plain,
% 41.83/27.50 (((~v166(constB119)) | v170(constB119) | (~v163(constB119))) <=> ((~v163(constB119)) | (~v166(constB119)) | v170(constB119))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14624,plain,
% 41.83/27.50 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB119)) | v170(constB119) | (~v163(constB119)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB119)) | (~v166(constB119)) | v170(constB119)))),
% 41.83/27.50 inference(monotonicity,[status(thm)],[14623])).
% 41.83/27.50 tff(14625,plain,
% 41.83/27.50 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB119)) | v170(constB119) | (~v163(constB119)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB119)) | (~v166(constB119)) | v170(constB119))),
% 41.83/27.50 inference(transitivity,[status(thm)],[14624, 14622])).
% 41.83/27.50 tff(14626,plain,
% 41.83/27.50 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB119)) | v170(constB119) | (~v163(constB119)))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14627,plain,
% 41.83/27.50 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB119)) | (~v166(constB119)) | v170(constB119)),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14626, 14625])).
% 41.83/27.50 tff(14628,plain,
% 41.83/27.50 (~v163(constB119)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14627, 14621, 14611, 14597])).
% 41.83/27.50 tff(14629,plain,
% 41.83/27.50 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14630,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 41.83/27.50 tff(14631,plain,
% 41.83/27.50 (nextState(constB119, constB120)),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14630, 14629])).
% 41.83/27.50 tff(14632,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14633,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14632])).
% 41.83/27.50 tff(14634,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14635,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v186(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14636,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14635])).
% 41.83/27.50 tff(14637,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11_1_1_2')).
% 41.83/27.50 tff(14638,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14637, 14636])).
% 41.83/27.50 tff(14639,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14638, 14634])).
% 41.83/27.50 tff(14640,plain,(
% 41.83/27.50 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14639])).
% 41.83/27.50 tff(14641,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14640, 14633])).
% 41.83/27.50 tff(14642,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB119) | (~nextState(constB119, constB120)) | (~v186(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB119) | (~nextState(constB119, constB120)) | (~v186(constB120)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14643,plain,
% 41.83/27.50 (((~nextState(constB119, constB120)) | v163(constB119) | (~v186(constB120))) <=> (v163(constB119) | (~nextState(constB119, constB120)) | (~v186(constB120)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14644,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB119, constB120)) | v163(constB119) | (~v186(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB119) | (~nextState(constB119, constB120)) | (~v186(constB120))))),
% 41.83/27.50 inference(monotonicity,[status(thm)],[14643])).
% 41.83/27.50 tff(14645,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB119, constB120)) | v163(constB119) | (~v186(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB119) | (~nextState(constB119, constB120)) | (~v186(constB120)))),
% 41.83/27.50 inference(transitivity,[status(thm)],[14644, 14642])).
% 41.83/27.50 tff(14646,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB119, constB120)) | v163(constB119) | (~v186(constB120)))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14647,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB119) | (~nextState(constB119, constB120)) | (~v186(constB120))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14646, 14645])).
% 41.83/27.50 tff(14648,plain,
% 41.83/27.50 (v163(constB119) | (~v186(constB120))),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14647, 14641, 14631])).
% 41.83/27.50 tff(14649,plain,
% 41.83/27.50 (~v186(constB120)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14648, 14628])).
% 41.83/27.50 tff(14650,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14651,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14652,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14651, 14650])).
% 41.83/27.50 tff(14653,plain,
% 41.83/27.50 (~v104(constB120)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14652, 659, 14631, 14425])).
% 41.83/27.50 tff(14654,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14655,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14654])).
% 41.83/27.50 tff(14656,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14657,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v181(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v181(VarNext))), ((((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))), ((((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14658,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14657])).
% 41.83/27.50 tff(14659,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_14_1_2')).
% 41.83/27.50 tff(14660,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14659, 14658])).
% 41.83/27.50 tff(14661,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14660, 14656])).
% 41.83/27.50 tff(14662,plain,(
% 41.83/27.50 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14661])).
% 41.83/27.50 tff(14663,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14662, 14655])).
% 41.83/27.50 tff(14664,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB119, constB120)) | v181(constB120) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB119, constB120)) | v181(constB120) | v104(constB120))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14665,plain,
% 41.83/27.50 (((~nextState(constB119, constB120)) | v104(constB120) | v181(constB120)) <=> ((~nextState(constB119, constB120)) | v181(constB120) | v104(constB120))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14666,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v181(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB119, constB120)) | v181(constB120) | v104(constB120)))),
% 41.83/27.50 inference(monotonicity,[status(thm)],[14665])).
% 41.83/27.50 tff(14667,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v181(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB119, constB120)) | v181(constB120) | v104(constB120))),
% 41.83/27.50 inference(transitivity,[status(thm)],[14666, 14664])).
% 41.83/27.50 tff(14668,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v181(constB120))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14669,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB119, constB120)) | v181(constB120) | v104(constB120)),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 41.83/27.50 tff(14670,plain,
% 41.83/27.50 (v181(constB120) | v104(constB120)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14669, 14663, 14631])).
% 41.83/27.50 tff(14671,plain,
% 41.83/27.50 (v181(constB120)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14670, 14653])).
% 41.83/27.50 tff(14672,plain,
% 41.83/27.50 (v1(constB120) <=> v1(constB120)),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14673,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 41.83/27.50 tff(14674,plain,
% 41.83/27.50 (v1(constB120)),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 41.83/27.50 tff(14675,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14676,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14675])).
% 41.83/27.50 tff(14677,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14678,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v181(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | (~v181(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | (~v181(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) | v180(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | (~v181(VarNext))) | v180(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | (~v181(VarNext))) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14679,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) | v180(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14678])).
% 41.83/27.50 tff(14680,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) | v180(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1')).
% 41.83/27.50 tff(14681,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14680, 14679])).
% 41.83/27.50 tff(14682,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14681, 14677])).
% 41.83/27.50 tff(14683,plain,(
% 41.83/27.50 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14682])).
% 41.83/27.50 tff(14684,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14683, 14676])).
% 41.83/27.50 tff(14685,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB119, constB120)) | v180(constB120) | (~v1(constB120)) | (~v181(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB119, constB120)) | v180(constB120) | (~v1(constB120)) | (~v181(constB120)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14686,plain,
% 41.83/27.50 (((~nextState(constB119, constB120)) | (~v1(constB120)) | v180(constB120) | (~v181(constB120))) <=> ((~nextState(constB119, constB120)) | v180(constB120) | (~v1(constB120)) | (~v181(constB120)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14687,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v180(constB120) | (~v181(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB119, constB120)) | v180(constB120) | (~v1(constB120)) | (~v181(constB120))))),
% 41.83/27.50 inference(monotonicity,[status(thm)],[14686])).
% 41.83/27.50 tff(14688,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v180(constB120) | (~v181(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB119, constB120)) | v180(constB120) | (~v1(constB120)) | (~v181(constB120)))),
% 41.83/27.50 inference(transitivity,[status(thm)],[14687, 14685])).
% 41.83/27.50 tff(14689,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v180(constB120) | (~v181(constB120)))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14690,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB119, constB120)) | v180(constB120) | (~v1(constB120)) | (~v181(constB120))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14689, 14688])).
% 41.83/27.50 tff(14691,plain,
% 41.83/27.50 (v180(constB120) | (~v181(constB120))),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14690, 14684, 14631, 14674])).
% 41.83/27.50 tff(14692,plain,
% 41.83/27.50 (v180(constB120)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14691, 14671])).
% 41.83/27.50 tff(14693,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext)))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14694,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14693])).
% 41.83/27.50 tff(14695,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14696,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14697,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14696])).
% 41.83/27.50 tff(14698,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1')).
% 41.83/27.50 tff(14699,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14698, 14697])).
% 41.83/27.50 tff(14700,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14699, 14695])).
% 41.83/27.50 tff(14701,plain,(
% 41.83/27.50 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14700])).
% 41.83/27.50 tff(14702,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14701, 14694])).
% 41.83/27.50 tff(14703,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB119, constB120)) | v179(constB120) | (~v180(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB119, constB120)) | v179(constB120) | (~v180(constB120)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14704,plain,
% 41.83/27.50 (((~nextState(constB119, constB120)) | (~v180(constB120)) | v179(constB120)) <=> ((~nextState(constB119, constB120)) | v179(constB120) | (~v180(constB120)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14705,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB119, constB120)) | (~v180(constB120)) | v179(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB119, constB120)) | v179(constB120) | (~v180(constB120))))),
% 41.83/27.50 inference(monotonicity,[status(thm)],[14704])).
% 41.83/27.50 tff(14706,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB119, constB120)) | (~v180(constB120)) | v179(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB119, constB120)) | v179(constB120) | (~v180(constB120)))),
% 41.83/27.50 inference(transitivity,[status(thm)],[14705, 14703])).
% 41.83/27.50 tff(14707,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB119, constB120)) | (~v180(constB120)) | v179(constB120))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14708,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB119, constB120)) | v179(constB120) | (~v180(constB120))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14707, 14706])).
% 41.83/27.50 tff(14709,plain,
% 41.83/27.50 (v179(constB120) | (~v180(constB120))),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14708, 14702, 14631])).
% 41.83/27.50 tff(14710,plain,
% 41.83/27.50 (v179(constB120)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14709, 14692])).
% 41.83/27.50 tff(14711,plain,
% 41.83/27.50 (^[VarNext: state_type] : refl((v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext))) <=> (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14712,plain,
% 41.83/27.50 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext))) <=> ![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14711])).
% 41.83/27.50 tff(14713,plain,
% 41.83/27.50 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext))) <=> ![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14714,plain,
% 41.83/27.50 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v179(VarNext)) | (~v159(VarNext))) <=> ((~v159(VarNext)) | (~v179(VarNext)))), ((((~v179(VarNext)) | (~v159(VarNext))) | v186(VarNext)) <=> (((~v159(VarNext)) | (~v179(VarNext))) | v186(VarNext)))), rewrite((((~v159(VarNext)) | (~v179(VarNext))) | v186(VarNext)) <=> (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))), ((((~v179(VarNext)) | (~v159(VarNext))) | v186(VarNext)) <=> (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14715,plain,
% 41.83/27.50 (![VarNext: state_type] : (((~v179(VarNext)) | (~v159(VarNext))) | v186(VarNext)) <=> ![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14714])).
% 41.83/27.50 tff(14716,axiom,(![VarNext: state_type] : (((~v179(VarNext)) | (~v159(VarNext))) | v186(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 41.83/27.50 tff(14717,plain,
% 41.83/27.50 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14716, 14715])).
% 41.83/27.50 tff(14718,plain,
% 41.83/27.50 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14717, 14713])).
% 41.83/27.50 tff(14719,plain,(
% 41.83/27.50 ![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14718])).
% 41.83/27.50 tff(14720,plain,
% 41.83/27.50 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14719, 14712])).
% 41.83/27.50 tff(14721,plain,
% 41.83/27.50 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB120) | (~v159(constB120)) | (~v179(constB120)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB120) | (~v159(constB120)) | (~v179(constB120)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14722,plain,
% 41.83/27.50 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB120) | (~v159(constB120)) | (~v179(constB120)))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14723,plain,
% 41.83/27.50 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB120) | (~v159(constB120)) | (~v179(constB120))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14722, 14721])).
% 41.83/27.50 tff(14724,plain,
% 41.83/27.50 (v186(constB120) | (~v159(constB120))),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14723, 14720, 14710])).
% 41.83/27.50 tff(14725,plain,
% 41.83/27.50 (~v159(constB120)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14724, 14649])).
% 41.83/27.50 tff(14726,plain,
% 41.83/27.50 ((~v1(constB121)) <=> (~v1(constB121))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14727,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 41.83/27.50 tff(14728,plain,
% 41.83/27.50 (~v1(constB121)),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14727, 14726])).
% 41.83/27.50 tff(14729,plain,
% 41.83/27.50 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14730,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 41.83/27.50 tff(14731,plain,
% 41.83/27.50 (nextState(constB120, constB121)),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14730, 14729])).
% 41.83/27.50 tff(14732,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14733,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14732])).
% 41.83/27.50 tff(14734,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14735,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14736,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14735])).
% 41.83/27.50 tff(14737,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_2')).
% 41.83/27.50 tff(14738,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14737, 14736])).
% 41.83/27.50 tff(14739,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14738, 14734])).
% 41.83/27.50 tff(14740,plain,(
% 41.83/27.50 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14739])).
% 41.83/27.50 tff(14741,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14740, 14733])).
% 41.83/27.50 tff(14742,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v180(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v180(constB121)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14743,plain,
% 41.83/27.50 (((~nextState(constB120, constB121)) | v1(constB121) | (~v180(constB121))) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v180(constB121)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14744,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB120, constB121)) | v1(constB121) | (~v180(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v180(constB121))))),
% 41.83/27.50 inference(monotonicity,[status(thm)],[14743])).
% 41.83/27.50 tff(14745,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB120, constB121)) | v1(constB121) | (~v180(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v180(constB121)))),
% 41.83/27.50 inference(transitivity,[status(thm)],[14744, 14742])).
% 41.83/27.50 tff(14746,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB120, constB121)) | v1(constB121) | (~v180(constB121)))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14747,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v180(constB121))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14746, 14745])).
% 41.83/27.50 tff(14748,plain,
% 41.83/27.50 (~v180(constB121)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14747, 14741, 14731, 14728])).
% 41.83/27.50 tff(14749,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14750,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14749])).
% 41.83/27.50 tff(14751,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14752,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14753,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14752])).
% 41.83/27.50 tff(14754,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_2')).
% 41.83/27.50 tff(14755,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14754, 14753])).
% 41.83/27.50 tff(14756,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14755, 14751])).
% 41.83/27.50 tff(14757,plain,(
% 41.83/27.50 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 41.83/27.50 inference(skolemize,[status(sab)],[14756])).
% 41.83/27.50 tff(14758,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14757, 14750])).
% 41.83/27.50 tff(14759,plain,
% 41.83/27.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB120, constB121)) | v180(constB121) | (~v179(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB120, constB121)) | v180(constB121) | (~v179(constB121)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14760,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB120, constB121)) | v180(constB121) | (~v179(constB121)))),
% 41.83/27.50 inference(quant_inst,[status(thm)],[])).
% 41.83/27.50 tff(14761,plain,
% 41.83/27.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB120, constB121)) | v180(constB121) | (~v179(constB121))),
% 41.83/27.50 inference(modus_ponens,[status(thm)],[14760, 14759])).
% 41.83/27.50 tff(14762,plain,
% 41.83/27.50 (v180(constB121) | (~v179(constB121))),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14761, 14758, 14731])).
% 41.83/27.50 tff(14763,plain,
% 41.83/27.50 (~v179(constB121)),
% 41.83/27.50 inference(unit_resolution,[status(thm)],[14762, 14748])).
% 41.83/27.50 tff(14764,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))))),
% 41.83/27.50 inference(bind,[status(th)],[])).
% 41.83/27.50 tff(14765,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 41.83/27.50 inference(quant_intro,[status(thm)],[14764])).
% 41.83/27.50 tff(14766,plain,
% 41.83/27.50 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 41.83/27.50 inference(rewrite,[status(thm)],[])).
% 41.83/27.50 tff(14767,plain,
% 41.83/27.50 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v179(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext))), ((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v159(VarNext)))), ((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v159(VarNext))))), (((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) | v159(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v159(VarNext))) | v159(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v159(VarNext))) | v159(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) | v159(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14768,plain,
% 41.83/27.51 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) | v159(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14767])).
% 41.83/27.51 tff(14769,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) | v159(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1_2')).
% 41.83/27.51 tff(14770,plain,
% 41.83/27.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14769, 14768])).
% 41.83/27.51 tff(14771,plain,
% 41.83/27.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14770, 14766])).
% 41.83/27.51 tff(14772,plain,(
% 41.83/27.51 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14771])).
% 41.83/27.51 tff(14773,plain,
% 41.83/27.51 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14772, 14765])).
% 41.83/27.51 tff(14774,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB120) | (~nextState(constB120, constB121)) | v179(constB121) | (~v159(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB120) | (~nextState(constB120, constB121)) | v179(constB121) | (~v159(constB121)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14775,plain,
% 41.83/27.51 (((~nextState(constB120, constB121)) | v179(constB121) | v159(constB120) | (~v159(constB121))) <=> (v159(constB120) | (~nextState(constB120, constB121)) | v179(constB121) | (~v159(constB121)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14776,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB120, constB121)) | v179(constB121) | v159(constB120) | (~v159(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB120) | (~nextState(constB120, constB121)) | v179(constB121) | (~v159(constB121))))),
% 41.83/27.51 inference(monotonicity,[status(thm)],[14775])).
% 41.83/27.51 tff(14777,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB120, constB121)) | v179(constB121) | v159(constB120) | (~v159(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB120) | (~nextState(constB120, constB121)) | v179(constB121) | (~v159(constB121)))),
% 41.83/27.51 inference(transitivity,[status(thm)],[14776, 14774])).
% 41.83/27.51 tff(14778,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB120, constB121)) | v179(constB121) | v159(constB120) | (~v159(constB121)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14779,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB120) | (~nextState(constB120, constB121)) | v179(constB121) | (~v159(constB121))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14778, 14777])).
% 41.83/27.51 tff(14780,plain,
% 41.83/27.51 (v159(constB120) | v179(constB121) | (~v159(constB121))),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14779, 14773, 14731])).
% 41.83/27.51 tff(14781,plain,
% 41.83/27.51 (v159(constB120) | (~v159(constB121))),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14780, 14763])).
% 41.83/27.51 tff(14782,plain,
% 41.83/27.51 (~v159(constB121)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14781, 14725])).
% 41.83/27.51 tff(14783,plain,
% 41.83/27.51 (^[VarCurr: state_type] : refl((v159(VarCurr) | (~v201(VarCurr))) <=> (v159(VarCurr) | (~v201(VarCurr))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14784,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14783])).
% 41.83/27.51 tff(14785,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14786,plain,
% 41.83/27.51 (^[VarCurr: state_type] : rewrite(((~v201(VarCurr)) | v159(VarCurr)) <=> (v159(VarCurr) | (~v201(VarCurr))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14787,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v201(VarCurr)) | v159(VarCurr)) <=> ![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14786])).
% 41.83/27.51 tff(14788,axiom,(![VarCurr: state_type] : ((~v201(VarCurr)) | v159(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_2')).
% 41.83/27.51 tff(14789,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14788, 14787])).
% 41.83/27.51 tff(14790,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14789, 14785])).
% 41.83/27.51 tff(14791,plain,(
% 41.83/27.51 ![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14790])).
% 41.83/27.51 tff(14792,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14791, 14784])).
% 41.83/27.51 tff(14793,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB121) | (~v201(constB121)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB121) | (~v201(constB121)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14794,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB121) | (~v201(constB121)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14795,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB121) | (~v201(constB121))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14794, 14793])).
% 41.83/27.51 tff(14796,plain,
% 41.83/27.51 (~v201(constB121)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14795, 14792, 14782])).
% 41.83/27.51 tff(14797,plain,
% 41.83/27.51 (^[VarCurr: state_type] : refl((v201(VarCurr) | (~v200(VarCurr))) <=> (v201(VarCurr) | (~v200(VarCurr))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14798,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14797])).
% 41.83/27.51 tff(14799,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14800,plain,
% 41.83/27.51 (^[VarCurr: state_type] : rewrite(((~v200(VarCurr)) | v201(VarCurr)) <=> (v201(VarCurr) | (~v200(VarCurr))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14801,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v200(VarCurr)) | v201(VarCurr)) <=> ![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14800])).
% 41.83/27.51 tff(14802,axiom,(![VarCurr: state_type] : ((~v200(VarCurr)) | v201(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_2')).
% 41.83/27.51 tff(14803,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 41.83/27.51 tff(14804,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14803, 14799])).
% 41.83/27.51 tff(14805,plain,(
% 41.83/27.51 ![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14804])).
% 41.83/27.51 tff(14806,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14805, 14798])).
% 41.83/27.51 tff(14807,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB121) | (~v200(constB121)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB121) | (~v200(constB121)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14808,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB121) | (~v200(constB121)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14809,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB121) | (~v200(constB121))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14808, 14807])).
% 41.83/27.51 tff(14810,plain,
% 41.83/27.51 (~v200(constB121)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14809, 14806, 14796])).
% 41.83/27.51 tff(14811,plain,
% 41.83/27.51 (^[VarCurr: state_type] : refl((v200(VarCurr) | (~v198(VarCurr))) <=> (v200(VarCurr) | (~v198(VarCurr))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14812,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14811])).
% 41.83/27.51 tff(14813,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14814,plain,
% 41.83/27.51 (^[VarCurr: state_type] : rewrite(((~v198(VarCurr)) | v200(VarCurr)) <=> (v200(VarCurr) | (~v198(VarCurr))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14815,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v198(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14814])).
% 41.83/27.51 tff(14816,axiom,(![VarCurr: state_type] : ((~v198(VarCurr)) | v200(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_2')).
% 41.83/27.51 tff(14817,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14816, 14815])).
% 41.83/27.51 tff(14818,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14817, 14813])).
% 41.83/27.51 tff(14819,plain,(
% 41.83/27.51 ![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14818])).
% 41.83/27.51 tff(14820,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14819, 14812])).
% 41.83/27.51 tff(14821,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB121) | (~v198(constB121)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB121) | (~v198(constB121)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14822,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB121) | (~v198(constB121)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14823,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB121) | (~v198(constB121))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14822, 14821])).
% 41.83/27.51 tff(14824,plain,
% 41.83/27.51 (~v198(constB121)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14823, 14820, 14810])).
% 41.83/27.51 tff(14825,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB117, bitIndex2)) | v90(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB117, bitIndex2)) | v90(constB117, bitIndex2))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14826,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB117, bitIndex2)) | v90(constB117, bitIndex2))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14827,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB117, bitIndex2)) | v90(constB117, bitIndex2)),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 41.83/27.51 tff(14828,plain,
% 41.83/27.51 (~v88(constB117, bitIndex2)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14827, 14456, 14233])).
% 41.83/27.51 tff(14829,plain,
% 41.83/27.51 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14830,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14829])).
% 41.83/27.51 tff(14831,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14832,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 41.83/27.51 tff(14833,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14832, 14831])).
% 41.83/27.51 tff(14834,plain,(
% 41.83/27.51 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14833])).
% 41.83/27.51 tff(14835,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14834, 14830])).
% 41.83/27.51 tff(14836,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB117, bitIndex1)) | v90(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB117, bitIndex1)) | v90(constB117, bitIndex1))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14837,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB117, bitIndex1)) | v90(constB117, bitIndex1))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14838,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB117, bitIndex1)) | v90(constB117, bitIndex1)),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14837, 14836])).
% 41.83/27.51 tff(14839,plain,
% 41.83/27.51 (~v88(constB117, bitIndex1)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14838, 14835, 14267])).
% 41.83/27.51 tff(14840,plain,
% 41.83/27.51 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14841,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14840])).
% 41.83/27.51 tff(14842,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14843,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 41.83/27.51 tff(14844,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14843, 14842])).
% 41.83/27.51 tff(14845,plain,(
% 41.83/27.51 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14844])).
% 41.83/27.51 tff(14846,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14845, 14841])).
% 41.83/27.51 tff(14847,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB117, bitIndex0)) | v88(constB117, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB117, bitIndex0)) | v88(constB117, bitIndex0))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14848,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB117, bitIndex0)) | v88(constB117, bitIndex0))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14849,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB117, bitIndex0)) | v88(constB117, bitIndex0)),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14848, 14847])).
% 41.83/27.51 tff(14850,plain,
% 41.83/27.51 (v88(constB117, bitIndex0)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14849, 14846, 14298])).
% 41.83/27.51 tff(14851,plain,
% 41.83/27.51 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14852,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14851])).
% 41.83/27.51 tff(14853,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14854,plain,
% 41.83/27.51 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)))), ((((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14855,plain,
% 41.83/27.51 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14854])).
% 41.83/27.51 tff(14856,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 41.83/27.51 tff(14857,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14856, 14855])).
% 41.83/27.51 tff(14858,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14857, 14853])).
% 41.83/27.51 tff(14859,plain,(
% 41.83/27.51 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14858])).
% 41.83/27.51 tff(14860,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14859, 14852])).
% 41.83/27.51 tff(14861,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14862,plain,
% 41.83/27.51 ((v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)) | v140(constB117)) <=> (v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14863,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)) | v140(constB117))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117)))),
% 41.83/27.51 inference(monotonicity,[status(thm)],[14862])).
% 41.83/27.51 tff(14864,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)) | v140(constB117))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117))),
% 41.83/27.51 inference(transitivity,[status(thm)],[14863, 14861])).
% 41.83/27.51 tff(14865,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)) | v140(constB117))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14866,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)) | v140(constB117)),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14865, 14864])).
% 41.83/27.51 tff(14867,plain,
% 41.83/27.51 (v140(constB117)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14866, 14860, 14850, 14839, 14828])).
% 41.83/27.51 tff(14868,plain,
% 41.83/27.51 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v169(VarCurr)) <=> ((~v140(VarCurr)) | v169(VarCurr)))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14869,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14868])).
% 41.83/27.51 tff(14870,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14871,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1')).
% 41.83/27.51 tff(14872,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14871, 14870])).
% 41.83/27.51 tff(14873,plain,(
% 41.83/27.51 ![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14872])).
% 41.83/27.51 tff(14874,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14873, 14869])).
% 41.83/27.51 tff(14875,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB117)) | v169(constB117))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB117)) | v169(constB117))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14876,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB117)) | v169(constB117))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14877,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB117)) | v169(constB117)),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14876, 14875])).
% 41.83/27.51 tff(14878,plain,
% 41.83/27.51 (v169(constB117)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14877, 14874, 14867])).
% 41.83/27.51 tff(14879,plain,
% 41.83/27.51 (^[VarCurr: state_type] : refl((v168(VarCurr) | (~v169(VarCurr))) <=> (v168(VarCurr) | (~v169(VarCurr))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14880,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14879])).
% 41.83/27.51 tff(14881,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14882,plain,
% 41.83/27.51 (^[VarCurr: state_type] : rewrite(((~v169(VarCurr)) | v168(VarCurr)) <=> (v168(VarCurr) | (~v169(VarCurr))))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14883,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v169(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14882])).
% 41.83/27.51 tff(14884,axiom,(![VarCurr: state_type] : ((~v169(VarCurr)) | v168(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_1')).
% 41.83/27.51 tff(14885,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14884, 14883])).
% 41.83/27.51 tff(14886,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14885, 14881])).
% 41.83/27.51 tff(14887,plain,(
% 41.83/27.51 ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14886])).
% 41.83/27.51 tff(14888,plain,
% 41.83/27.51 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14887, 14880])).
% 41.83/27.51 tff(14889,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB117) | (~v169(constB117)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB117) | (~v169(constB117)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14890,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB117) | (~v169(constB117)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14891,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB117) | (~v169(constB117))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 41.83/27.51 tff(14892,plain,
% 41.83/27.51 (v168(constB117)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14891, 14888, 14878])).
% 41.83/27.51 tff(14893,plain,
% 41.83/27.51 (^[VarCurr: state_type] : refl(((~v168(VarCurr)) | v167(VarCurr)) <=> ((~v168(VarCurr)) | v167(VarCurr)))),
% 41.83/27.51 inference(bind,[status(th)],[])).
% 41.83/27.51 tff(14894,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 41.83/27.51 inference(quant_intro,[status(thm)],[14893])).
% 41.83/27.51 tff(14895,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14896,axiom,(![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_1')).
% 41.83/27.51 tff(14897,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14896, 14895])).
% 41.83/27.51 tff(14898,plain,(
% 41.83/27.51 ![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 41.83/27.51 inference(skolemize,[status(sab)],[14897])).
% 41.83/27.51 tff(14899,plain,
% 41.83/27.51 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14898, 14894])).
% 41.83/27.51 tff(14900,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB117)) | v167(constB117))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB117)) | v167(constB117))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14901,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB117)) | v167(constB117))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14902,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB117)) | v167(constB117)),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14901, 14900])).
% 41.83/27.51 tff(14903,plain,
% 41.83/27.51 (v167(constB117)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14902, 14899, 14892])).
% 41.83/27.51 tff(14904,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB117)) | (~v170(constB117)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB117)) | (~v170(constB117)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14905,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB117)) | (~v170(constB117)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14906,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB117)) | (~v170(constB117))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14905, 14904])).
% 41.83/27.51 tff(14907,plain,
% 41.83/27.51 (~v170(constB117)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14906, 14593, 14903])).
% 41.83/27.51 tff(14908,plain,
% 41.83/27.51 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB117) | (~v167(constB117)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB117) | (~v167(constB117)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14909,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB117) | (~v167(constB117)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14910,plain,
% 41.83/27.51 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB117) | (~v167(constB117))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14909, 14908])).
% 41.83/27.51 tff(14911,plain,
% 41.83/27.51 (v166(constB117)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14910, 14607, 14903])).
% 41.83/27.51 tff(14912,plain,
% 41.83/27.51 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB117)) | (~v166(constB117)) | v170(constB117))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB117)) | (~v166(constB117)) | v170(constB117))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14913,plain,
% 41.83/27.51 (((~v166(constB117)) | v170(constB117) | (~v163(constB117))) <=> ((~v163(constB117)) | (~v166(constB117)) | v170(constB117))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14914,plain,
% 41.83/27.51 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB117)) | v170(constB117) | (~v163(constB117)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB117)) | (~v166(constB117)) | v170(constB117)))),
% 41.83/27.51 inference(monotonicity,[status(thm)],[14913])).
% 41.83/27.51 tff(14915,plain,
% 41.83/27.51 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB117)) | v170(constB117) | (~v163(constB117)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB117)) | (~v166(constB117)) | v170(constB117))),
% 41.83/27.51 inference(transitivity,[status(thm)],[14914, 14912])).
% 41.83/27.51 tff(14916,plain,
% 41.83/27.51 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB117)) | v170(constB117) | (~v163(constB117)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14917,plain,
% 41.83/27.51 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB117)) | (~v166(constB117)) | v170(constB117)),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14916, 14915])).
% 41.83/27.51 tff(14918,plain,
% 41.83/27.51 (~v163(constB117)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14917, 14621, 14911, 14907])).
% 41.83/27.51 tff(14919,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14920,plain,
% 41.83/27.51 (((~nextState(constB117, constB118)) | v163(constB117) | (~v186(constB118))) <=> (v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14921,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB117, constB118)) | v163(constB117) | (~v186(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118))))),
% 41.83/27.51 inference(monotonicity,[status(thm)],[14920])).
% 41.83/27.51 tff(14922,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB117, constB118)) | v163(constB117) | (~v186(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118)))),
% 41.83/27.51 inference(transitivity,[status(thm)],[14921, 14919])).
% 41.83/27.51 tff(14923,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB117, constB118)) | v163(constB117) | (~v186(constB118)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14924,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB117) | (~nextState(constB117, constB118)) | (~v186(constB118))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14923, 14922])).
% 41.83/27.51 tff(14925,plain,
% 41.83/27.51 (v163(constB117) | (~v186(constB118))),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14924, 14641, 14360])).
% 41.83/27.51 tff(14926,plain,
% 41.83/27.51 (~v186(constB118)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14925, 14918])).
% 41.83/27.51 tff(14927,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v181(constB118) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB117, constB118)) | v181(constB118) | v104(constB118))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14928,plain,
% 41.83/27.51 (((~nextState(constB117, constB118)) | v104(constB118) | v181(constB118)) <=> ((~nextState(constB117, constB118)) | v181(constB118) | v104(constB118))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14929,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v181(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v181(constB118) | v104(constB118)))),
% 41.83/27.51 inference(monotonicity,[status(thm)],[14928])).
% 41.83/27.51 tff(14930,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v181(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB117, constB118)) | v181(constB118) | v104(constB118))),
% 41.83/27.51 inference(transitivity,[status(thm)],[14929, 14927])).
% 41.83/27.51 tff(14931,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v181(constB118))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14932,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB117, constB118)) | v181(constB118) | v104(constB118)),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14931, 14930])).
% 41.83/27.51 tff(14933,plain,
% 41.83/27.51 (v181(constB118) | v104(constB118)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14932, 14663, 14360])).
% 41.83/27.51 tff(14934,plain,
% 41.83/27.51 (v181(constB118)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14933, 14372])).
% 41.83/27.51 tff(14935,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14936,plain,
% 41.83/27.51 (((~nextState(constB117, constB118)) | (~v1(constB118)) | v180(constB118) | (~v181(constB118))) <=> ((~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14937,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v180(constB118) | (~v181(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118))))),
% 41.83/27.51 inference(monotonicity,[status(thm)],[14936])).
% 41.83/27.51 tff(14938,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v180(constB118) | (~v181(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118)))),
% 41.83/27.51 inference(transitivity,[status(thm)],[14937, 14935])).
% 41.83/27.51 tff(14939,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v180(constB118) | (~v181(constB118)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14940,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB117, constB118)) | v180(constB118) | (~v1(constB118)) | (~v181(constB118))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14939, 14938])).
% 41.83/27.51 tff(14941,plain,
% 41.83/27.51 (v180(constB118) | (~v181(constB118))),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14940, 14684, 14360, 14383])).
% 41.83/27.51 tff(14942,plain,
% 41.83/27.51 (v180(constB118)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14941, 14934])).
% 41.83/27.51 tff(14943,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14944,plain,
% 41.83/27.51 (((~nextState(constB117, constB118)) | (~v180(constB118)) | v179(constB118)) <=> ((~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14945,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB117, constB118)) | (~v180(constB118)) | v179(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118))))),
% 41.83/27.51 inference(monotonicity,[status(thm)],[14944])).
% 41.83/27.51 tff(14946,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB117, constB118)) | (~v180(constB118)) | v179(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118)))),
% 41.83/27.51 inference(transitivity,[status(thm)],[14945, 14943])).
% 41.83/27.51 tff(14947,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB117, constB118)) | (~v180(constB118)) | v179(constB118))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14948,plain,
% 41.83/27.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB117, constB118)) | v179(constB118) | (~v180(constB118))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14947, 14946])).
% 41.83/27.51 tff(14949,plain,
% 41.83/27.51 (v179(constB118) | (~v180(constB118))),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14948, 14702, 14360])).
% 41.83/27.51 tff(14950,plain,
% 41.83/27.51 (v179(constB118)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14949, 14942])).
% 41.83/27.51 tff(14951,plain,
% 41.83/27.51 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB118) | (~v159(constB118)) | (~v179(constB118)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB118) | (~v159(constB118)) | (~v179(constB118)))),
% 41.83/27.51 inference(rewrite,[status(thm)],[])).
% 41.83/27.51 tff(14952,plain,
% 41.83/27.51 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB118) | (~v159(constB118)) | (~v179(constB118)))),
% 41.83/27.51 inference(quant_inst,[status(thm)],[])).
% 41.83/27.51 tff(14953,plain,
% 41.83/27.51 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB118) | (~v159(constB118)) | (~v179(constB118))),
% 41.83/27.51 inference(modus_ponens,[status(thm)],[14952, 14951])).
% 41.83/27.51 tff(14954,plain,
% 41.83/27.51 (v186(constB118) | (~v159(constB118))),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14953, 14720, 14950])).
% 41.83/27.51 tff(14955,plain,
% 41.83/27.51 (~v159(constB118)),
% 41.83/27.51 inference(unit_resolution,[status(thm)],[14954, 14926])).
% 41.83/27.51 tff(14956,plain,
% 41.83/27.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14957,plain,
% 41.83/27.52 (((~nextState(constB118, constB119)) | v1(constB119) | (~v180(constB119))) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14958,plain,
% 41.83/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v1(constB119) | (~v180(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119))))),
% 41.83/27.52 inference(monotonicity,[status(thm)],[14957])).
% 41.83/27.52 tff(14959,plain,
% 41.83/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v1(constB119) | (~v180(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119)))),
% 41.83/27.52 inference(transitivity,[status(thm)],[14958, 14956])).
% 41.83/27.52 tff(14960,plain,
% 41.83/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v1(constB119) | (~v180(constB119)))),
% 41.83/27.52 inference(quant_inst,[status(thm)],[])).
% 41.83/27.52 tff(14961,plain,
% 41.83/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v180(constB119))),
% 41.83/27.52 inference(modus_ponens,[status(thm)],[14960, 14959])).
% 41.83/27.52 tff(14962,plain,
% 41.83/27.52 (~v180(constB119)),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14961, 14741, 14428, 14425])).
% 41.83/27.52 tff(14963,plain,
% 41.83/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14964,plain,
% 41.83/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119)))),
% 41.83/27.52 inference(quant_inst,[status(thm)],[])).
% 41.83/27.52 tff(14965,plain,
% 41.83/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB118, constB119)) | v180(constB119) | (~v179(constB119))),
% 41.83/27.52 inference(modus_ponens,[status(thm)],[14964, 14963])).
% 41.83/27.52 tff(14966,plain,
% 41.83/27.52 (v180(constB119) | (~v179(constB119))),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14965, 14758, 14428])).
% 41.83/27.52 tff(14967,plain,
% 41.83/27.52 (~v179(constB119)),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14966, 14962])).
% 41.83/27.52 tff(14968,plain,
% 41.83/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14969,plain,
% 41.83/27.52 (((~nextState(constB118, constB119)) | v179(constB119) | v159(constB118) | (~v159(constB119))) <=> (v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14970,plain,
% 41.83/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB118, constB119)) | v179(constB119) | v159(constB118) | (~v159(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119))))),
% 41.83/27.52 inference(monotonicity,[status(thm)],[14969])).
% 41.83/27.52 tff(14971,plain,
% 41.83/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB118, constB119)) | v179(constB119) | v159(constB118) | (~v159(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119)))),
% 41.83/27.52 inference(transitivity,[status(thm)],[14970, 14968])).
% 41.83/27.52 tff(14972,plain,
% 41.83/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB118, constB119)) | v179(constB119) | v159(constB118) | (~v159(constB119)))),
% 41.83/27.52 inference(quant_inst,[status(thm)],[])).
% 41.83/27.52 tff(14973,plain,
% 41.83/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB118) | (~nextState(constB118, constB119)) | v179(constB119) | (~v159(constB119))),
% 41.83/27.52 inference(modus_ponens,[status(thm)],[14972, 14971])).
% 41.83/27.52 tff(14974,plain,
% 41.83/27.52 (v159(constB118) | v179(constB119) | (~v159(constB119))),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14973, 14773, 14428])).
% 41.83/27.52 tff(14975,plain,
% 41.83/27.52 (v159(constB118) | (~v159(constB119))),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14974, 14967])).
% 41.83/27.52 tff(14976,plain,
% 41.83/27.52 (~v159(constB119)),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14975, 14955])).
% 41.83/27.52 tff(14977,plain,
% 41.83/27.52 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB119) | (~v201(constB119)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB119) | (~v201(constB119)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14978,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB119) | (~v201(constB119)))),
% 41.83/27.52 inference(quant_inst,[status(thm)],[])).
% 41.83/27.52 tff(14979,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB119) | (~v201(constB119))),
% 41.83/27.52 inference(modus_ponens,[status(thm)],[14978, 14977])).
% 41.83/27.52 tff(14980,plain,
% 41.83/27.52 (~v201(constB119)),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14979, 14792, 14976])).
% 41.83/27.52 tff(14981,plain,
% 41.83/27.52 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB119) | (~v200(constB119)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB119) | (~v200(constB119)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14982,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB119) | (~v200(constB119)))),
% 41.83/27.52 inference(quant_inst,[status(thm)],[])).
% 41.83/27.52 tff(14983,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB119) | (~v200(constB119))),
% 41.83/27.52 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 41.83/27.52 tff(14984,plain,
% 41.83/27.52 (~v200(constB119)),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14983, 14806, 14980])).
% 41.83/27.52 tff(14985,plain,
% 41.83/27.52 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB119) | (~v198(constB119)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB119) | (~v198(constB119)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14986,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB119) | (~v198(constB119)))),
% 41.83/27.52 inference(quant_inst,[status(thm)],[])).
% 41.83/27.52 tff(14987,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB119) | (~v198(constB119))),
% 41.83/27.52 inference(modus_ponens,[status(thm)],[14986, 14985])).
% 41.83/27.52 tff(14988,plain,
% 41.83/27.52 (~v198(constB119)),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14987, 14820, 14984])).
% 41.83/27.52 tff(14989,assumption,(v18(constB120)), introduced(assumption)).
% 41.83/27.52 tff(14990,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB120))),
% 41.83/27.52 inference(quant_inst,[status(thm)],[])).
% 41.83/27.52 tff(14991,plain,
% 41.83/27.52 ($false),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14990, 138, 14989])).
% 41.83/27.52 tff(14992,plain,(~v18(constB120)), inference(lemma,lemma(discharge,[]))).
% 41.83/27.52 tff(14993,plain,
% 41.83/27.52 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14994,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))),
% 41.83/27.52 inference(quant_inst,[status(thm)],[])).
% 41.83/27.52 tff(14995,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120))),
% 41.83/27.52 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 41.83/27.52 tff(14996,plain,
% 41.83/27.52 (v22(constB120)),
% 41.83/27.52 inference(unit_resolution,[status(thm)],[14995, 154, 14674])).
% 41.83/27.52 tff(14997,plain,
% 41.83/27.52 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB120) | (~v22(constB120)) | (~v19(constB120)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB120) | (~v22(constB120)) | (~v19(constB120)))),
% 41.83/27.52 inference(rewrite,[status(thm)],[])).
% 41.83/27.52 tff(14998,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB120) | (~v22(constB120)) | (~v19(constB120)))),
% 41.83/27.52 inference(quant_inst,[status(thm)],[])).
% 41.83/27.52 tff(14999,plain,
% 41.83/27.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB120) | (~v22(constB120)) | (~v19(constB120))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[14998, 14997])).
% 41.92/27.52 tff(15000,plain,
% 41.92/27.52 (v18(constB120) | (~v19(constB120))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[14999, 168, 14996])).
% 41.92/27.52 tff(15001,plain,
% 41.92/27.52 (~v19(constB120)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15000, 14992])).
% 41.92/27.52 tff(15002,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15003,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15004,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120)),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15003, 15002])).
% 41.92/27.52 tff(15005,plain,
% 41.92/27.52 (v13(constB120)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15004, 180, 15001])).
% 41.92/27.52 tff(15006,plain,
% 41.92/27.52 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15007,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15008,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15007, 15006])).
% 41.92/27.52 tff(15009,plain,
% 41.92/27.52 (v9(constB119) | (~v13(constB120))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15008, 197, 14631])).
% 41.92/27.52 tff(15010,plain,
% 41.92/27.52 (v9(constB119)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15009, 15005])).
% 41.92/27.52 tff(15011,plain,
% 41.92/27.52 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15012,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15011])).
% 41.92/27.52 tff(15013,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15014,plain,
% 41.92/27.52 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v197(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v197(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v197(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v197(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15015,plain,
% 41.92/27.52 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15014])).
% 41.92/27.52 tff(15016,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v197(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_1')).
% 41.92/27.52 tff(15017,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 41.92/27.52 tff(15018,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15017, 15013])).
% 41.92/27.52 tff(15019,plain,(
% 41.92/27.52 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 41.92/27.52 inference(skolemize,[status(sab)],[15018])).
% 41.92/27.52 tff(15020,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15019, 15012])).
% 41.92/27.52 tff(15021,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v197(constB119))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB119) | (~v9(constB119)) | v197(constB119))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15022,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v197(constB119))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15023,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB119) | (~v9(constB119)) | v197(constB119)),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15022, 15021])).
% 41.92/27.52 tff(15024,plain,
% 41.92/27.52 ((~v9(constB119)) | v197(constB119)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15023, 15020, 14425])).
% 41.92/27.52 tff(15025,plain,
% 41.92/27.52 (v197(constB119)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15024, 15010])).
% 41.92/27.52 tff(15026,plain,
% 41.92/27.52 (^[VarCurr: state_type] : refl(((~v197(VarCurr)) | v196(VarCurr)) <=> ((~v197(VarCurr)) | v196(VarCurr)))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15027,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr)) <=> ![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15026])).
% 41.92/27.52 tff(15028,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr)) <=> ![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15029,axiom,(![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_1')).
% 41.92/27.52 tff(15030,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 41.92/27.52 tff(15031,plain,(
% 41.92/27.52 ![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 41.92/27.52 inference(skolemize,[status(sab)],[15030])).
% 41.92/27.52 tff(15032,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15031, 15027])).
% 41.92/27.52 tff(15033,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB119) | (~v197(constB119)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB119) | (~v197(constB119)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15034,plain,
% 41.92/27.52 (((~v197(constB119)) | v196(constB119)) <=> (v196(constB119) | (~v197(constB119)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15035,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB119)) | v196(constB119))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB119) | (~v197(constB119))))),
% 41.92/27.52 inference(monotonicity,[status(thm)],[15034])).
% 41.92/27.52 tff(15036,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB119)) | v196(constB119))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB119) | (~v197(constB119)))),
% 41.92/27.52 inference(transitivity,[status(thm)],[15035, 15033])).
% 41.92/27.52 tff(15037,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB119)) | v196(constB119))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15038,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB119) | (~v197(constB119))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15037, 15036])).
% 41.92/27.52 tff(15039,plain,
% 41.92/27.52 (v196(constB119)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15038, 15032, 15025])).
% 41.92/27.52 tff(15040,plain,
% 41.92/27.52 (^[VarCurr: state_type] : refl(((~v194(VarCurr)) | (~v196(VarCurr))) <=> ((~v194(VarCurr)) | (~v196(VarCurr))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15041,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr))) <=> ![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15040])).
% 41.92/27.52 tff(15042,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr))) <=> ![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15043,axiom,(![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_3')).
% 41.92/27.52 tff(15044,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15043, 15042])).
% 41.92/27.52 tff(15045,plain,(
% 41.92/27.52 ![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 41.92/27.52 inference(skolemize,[status(sab)],[15044])).
% 41.92/27.52 tff(15046,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15045, 15041])).
% 41.92/27.52 tff(15047,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB119)) | (~v196(constB119)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB119)) | (~v196(constB119)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15048,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB119)) | (~v196(constB119)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15049,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB119)) | (~v196(constB119))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15048, 15047])).
% 41.92/27.52 tff(15050,plain,
% 41.92/27.52 (~v194(constB119)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15049, 15046, 15039])).
% 41.92/27.52 tff(15051,plain,
% 41.92/27.52 (^[VarCurr: state_type] : refl((v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15052,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15051])).
% 41.92/27.52 tff(15053,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15054,plain,
% 41.92/27.52 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v191(VarCurr)) | v194(VarCurr)) <=> (v194(VarCurr) | (~v191(VarCurr)))), ((((~v191(VarCurr)) | v194(VarCurr)) | v198(VarCurr)) <=> ((v194(VarCurr) | (~v191(VarCurr))) | v198(VarCurr)))), rewrite(((v194(VarCurr) | (~v191(VarCurr))) | v198(VarCurr)) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))), ((((~v191(VarCurr)) | v194(VarCurr)) | v198(VarCurr)) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15055,plain,
% 41.92/27.52 (![VarCurr: state_type] : (((~v191(VarCurr)) | v194(VarCurr)) | v198(VarCurr)) <=> ![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15054])).
% 41.92/27.52 tff(15056,axiom,(![VarCurr: state_type] : (((~v191(VarCurr)) | v194(VarCurr)) | v198(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_3')).
% 41.92/27.52 tff(15057,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15056, 15055])).
% 41.92/27.52 tff(15058,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15057, 15053])).
% 41.92/27.52 tff(15059,plain,(
% 41.92/27.52 ![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 41.92/27.52 inference(skolemize,[status(sab)],[15058])).
% 41.92/27.52 tff(15060,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15059, 15052])).
% 41.92/27.52 tff(15061,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB119) | v198(constB119) | (~v191(constB119)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB119) | v198(constB119) | (~v191(constB119)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15062,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB119) | v198(constB119) | (~v191(constB119)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15063,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB119) | v198(constB119) | (~v191(constB119))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15062, 15061])).
% 41.92/27.52 tff(15064,plain,
% 41.92/27.52 (v198(constB119) | (~v191(constB119))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15063, 15060, 15050])).
% 41.92/27.52 tff(15065,plain,
% 41.92/27.52 (~v191(constB119)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15064, 14988])).
% 41.92/27.52 tff(15066,plain,
% 41.92/27.52 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15067,plain,
% 41.92/27.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15066])).
% 41.92/27.52 tff(15068,plain,
% 41.92/27.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15069,plain,
% 41.92/27.52 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v193(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15070,plain,
% 41.92/27.52 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15069])).
% 41.92/27.52 tff(15071,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_12_1_2')).
% 41.92/27.52 tff(15072,plain,
% 41.92/27.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15071, 15070])).
% 41.92/27.52 tff(15073,plain,
% 41.92/27.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15072, 15068])).
% 41.92/27.52 tff(15074,plain,(
% 41.92/27.52 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 41.92/27.52 inference(skolemize,[status(sab)],[15073])).
% 41.92/27.52 tff(15075,plain,
% 41.92/27.52 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15074, 15067])).
% 41.92/27.52 tff(15076,plain,
% 41.92/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB119, constB120)) | v191(constB119) | (~v193(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB119, constB120)) | v191(constB119) | (~v193(constB120)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15077,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB119, constB120)) | v191(constB119) | (~v193(constB120)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15078,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB119, constB120)) | v191(constB119) | (~v193(constB120))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15077, 15076])).
% 41.92/27.52 tff(15079,plain,
% 41.92/27.52 (v191(constB119) | (~v193(constB120))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15078, 15075, 14631])).
% 41.92/27.52 tff(15080,plain,
% 41.92/27.52 (~v193(constB120)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15079, 15065])).
% 41.92/27.52 tff(15081,plain,
% 41.92/27.52 (^[VarCurr: state_type] : refl((v193(VarCurr) | (~v194(VarCurr))) <=> (v193(VarCurr) | (~v194(VarCurr))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15082,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15081])).
% 41.92/27.52 tff(15083,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15084,plain,
% 41.92/27.52 (^[VarCurr: state_type] : rewrite(((~v194(VarCurr)) | v193(VarCurr)) <=> (v193(VarCurr) | (~v194(VarCurr))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15085,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v194(VarCurr)) | v193(VarCurr)) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15084])).
% 41.92/27.52 tff(15086,axiom,(![VarCurr: state_type] : ((~v194(VarCurr)) | v193(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 41.92/27.52 tff(15087,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15086, 15085])).
% 41.92/27.52 tff(15088,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15087, 15083])).
% 41.92/27.52 tff(15089,plain,(
% 41.92/27.52 ![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 41.92/27.52 inference(skolemize,[status(sab)],[15088])).
% 41.92/27.52 tff(15090,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15089, 15082])).
% 41.92/27.52 tff(15091,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB120) | (~v194(constB120)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB120) | (~v194(constB120)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15092,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB120) | (~v194(constB120)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15093,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB120) | (~v194(constB120))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15092, 15091])).
% 41.92/27.52 tff(15094,plain,
% 41.92/27.52 (~v194(constB120)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15093, 15090, 15080])).
% 41.92/27.52 tff(15095,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB120)) | (~v197(constB120)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB120)) | (~v197(constB120)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15096,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB120)) | (~v197(constB120)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15097,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB120)) | (~v197(constB120))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15096, 15095])).
% 41.92/27.52 tff(15098,plain,
% 41.92/27.52 (~v197(constB120)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15097, 59, 14674])).
% 41.92/27.52 tff(15099,plain,
% 41.92/27.52 (^[VarCurr: state_type] : refl((v197(VarCurr) | (~v200(VarCurr))) <=> (v197(VarCurr) | (~v200(VarCurr))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15100,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15099])).
% 41.92/27.52 tff(15101,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15102,plain,
% 41.92/27.52 (^[VarCurr: state_type] : rewrite(((~v200(VarCurr)) | v197(VarCurr)) <=> (v197(VarCurr) | (~v200(VarCurr))))),
% 41.92/27.52 inference(bind,[status(th)],[])).
% 41.92/27.52 tff(15103,plain,
% 41.92/27.52 (![VarCurr: state_type] : ((~v200(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 41.92/27.52 inference(quant_intro,[status(thm)],[15102])).
% 41.92/27.52 tff(15104,axiom,(![VarCurr: state_type] : ((~v200(VarCurr)) | v197(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 41.92/27.52 tff(15105,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15104, 15103])).
% 41.92/27.52 tff(15106,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15105, 15101])).
% 41.92/27.52 tff(15107,plain,(
% 41.92/27.52 ![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 41.92/27.52 inference(skolemize,[status(sab)],[15106])).
% 41.92/27.52 tff(15108,plain,
% 41.92/27.52 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15107, 15100])).
% 41.92/27.52 tff(15109,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB120) | (~v200(constB120)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB120) | (~v200(constB120)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15110,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB120) | (~v200(constB120)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15111,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB120) | (~v200(constB120))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15110, 15109])).
% 41.92/27.52 tff(15112,plain,
% 41.92/27.52 (~v200(constB120)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15111, 15108, 15098])).
% 41.92/27.52 tff(15113,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB120) | (~v198(constB120)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB120) | (~v198(constB120)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15114,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB120) | (~v198(constB120)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15115,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB120) | (~v198(constB120))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15114, 15113])).
% 41.92/27.52 tff(15116,plain,
% 41.92/27.52 (~v198(constB120)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15115, 14820, 15112])).
% 41.92/27.52 tff(15117,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB120) | v198(constB120) | (~v191(constB120)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB120) | v198(constB120) | (~v191(constB120)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15118,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB120) | v198(constB120) | (~v191(constB120)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15119,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB120) | v198(constB120) | (~v191(constB120))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15118, 15117])).
% 41.92/27.52 tff(15120,plain,
% 41.92/27.52 (v194(constB120) | (~v191(constB120))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15119, 15060, 15116])).
% 41.92/27.52 tff(15121,plain,
% 41.92/27.52 (~v191(constB120)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15120, 15094])).
% 41.92/27.52 tff(15122,plain,
% 41.92/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB120, constB121)) | v191(constB120) | (~v193(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB120, constB121)) | v191(constB120) | (~v193(constB121)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15123,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB120, constB121)) | v191(constB120) | (~v193(constB121)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15124,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB120, constB121)) | v191(constB120) | (~v193(constB121))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15123, 15122])).
% 41.92/27.52 tff(15125,plain,
% 41.92/27.52 (v191(constB120) | (~v193(constB121))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15124, 15075, 14731])).
% 41.92/27.52 tff(15126,plain,
% 41.92/27.52 (~v193(constB121)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15125, 15121])).
% 41.92/27.52 tff(15127,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB121) | (~v194(constB121)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB121) | (~v194(constB121)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15128,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB121) | (~v194(constB121)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15129,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB121) | (~v194(constB121))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15128, 15127])).
% 41.92/27.52 tff(15130,plain,
% 41.92/27.52 (~v194(constB121)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15129, 15090, 15126])).
% 41.92/27.52 tff(15131,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB121) | v198(constB121) | (~v191(constB121)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB121) | v198(constB121) | (~v191(constB121)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15132,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB121) | v198(constB121) | (~v191(constB121)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15133,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB121) | v198(constB121) | (~v191(constB121))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15132, 15131])).
% 41.92/27.52 tff(15134,plain,
% 41.92/27.52 (v198(constB121) | (~v191(constB121))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15133, 15060, 15130])).
% 41.92/27.52 tff(15135,plain,
% 41.92/27.52 (~v191(constB121)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15134, 14824])).
% 41.92/27.52 tff(15136,plain,
% 41.92/27.52 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15137,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 41.92/27.52 tff(15138,plain,
% 41.92/27.52 (nextState(constB121, constB122)),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15137, 15136])).
% 41.92/27.52 tff(15139,plain,
% 41.92/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15140,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15141,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 41.92/27.52 tff(15142,plain,
% 41.92/27.52 (v191(constB121) | (~v193(constB122))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15141, 15075, 15138])).
% 41.92/27.52 tff(15143,plain,
% 41.92/27.52 (~v193(constB122)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15142, 15135])).
% 41.92/27.52 tff(15144,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB122) | (~v194(constB122)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB122) | (~v194(constB122)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15145,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB122) | (~v194(constB122)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15146,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB122) | (~v194(constB122))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15145, 15144])).
% 41.92/27.52 tff(15147,plain,
% 41.92/27.52 (~v194(constB122)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15146, 15090, 15143])).
% 41.92/27.52 tff(15148,plain,
% 41.92/27.52 (v1(constB122) <=> v1(constB122)),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15149,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 41.92/27.52 tff(15150,plain,
% 41.92/27.52 (v1(constB122)),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15149, 15148])).
% 41.92/27.52 tff(15151,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB122)) | (~v197(constB122)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB122)) | (~v197(constB122)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15152,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB122)) | (~v197(constB122)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15153,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB122)) | (~v197(constB122))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15152, 15151])).
% 41.92/27.52 tff(15154,plain,
% 41.92/27.52 (~v197(constB122)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15153, 59, 15150])).
% 41.92/27.52 tff(15155,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB122) | (~v200(constB122)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB122) | (~v200(constB122)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15156,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB122) | (~v200(constB122)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15157,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB122) | (~v200(constB122))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15156, 15155])).
% 41.92/27.52 tff(15158,plain,
% 41.92/27.52 (~v200(constB122)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15157, 15108, 15154])).
% 41.92/27.52 tff(15159,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB122) | (~v198(constB122)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB122) | (~v198(constB122)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15160,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB122) | (~v198(constB122)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15161,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB122) | (~v198(constB122))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15160, 15159])).
% 41.92/27.52 tff(15162,plain,
% 41.92/27.52 (~v198(constB122)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15161, 14820, 15158])).
% 41.92/27.52 tff(15163,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB122) | v198(constB122) | (~v191(constB122)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB122) | v198(constB122) | (~v191(constB122)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15164,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB122) | v198(constB122) | (~v191(constB122)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15165,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB122) | v198(constB122) | (~v191(constB122))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15164, 15163])).
% 41.92/27.52 tff(15166,plain,
% 41.92/27.52 (v194(constB122) | (~v191(constB122))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15165, 15060, 15162])).
% 41.92/27.52 tff(15167,plain,
% 41.92/27.52 (~v191(constB122)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15166, 15147])).
% 41.92/27.52 tff(15168,plain,
% 41.92/27.52 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15169,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 41.92/27.52 tff(15170,plain,
% 41.92/27.52 (nextState(constB122, constB123)),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15169, 15168])).
% 41.92/27.52 tff(15171,plain,
% 41.92/27.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15172,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15173,plain,
% 41.92/27.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15172, 15171])).
% 41.92/27.52 tff(15174,plain,
% 41.92/27.52 (v191(constB122) | (~v193(constB123))),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15173, 15075, 15170])).
% 41.92/27.52 tff(15175,plain,
% 41.92/27.52 (~v193(constB123)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15174, 15167])).
% 41.92/27.52 tff(15176,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB123) | (~v194(constB123)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB123) | (~v194(constB123)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15177,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB123) | (~v194(constB123)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15178,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB123) | (~v194(constB123))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 41.92/27.52 tff(15179,plain,
% 41.92/27.52 (~v194(constB123)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15178, 15090, 15175])).
% 41.92/27.52 tff(15180,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15181,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15182,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119)),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15181, 15180])).
% 41.92/27.52 tff(15183,plain,
% 41.92/27.52 (v121(constB119)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15182, 1870, 14494, 14536, 14449])).
% 41.92/27.52 tff(15184,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB119)) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB119)) | (~v130(constB119, bitIndex2)))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15185,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB119)) | (~v130(constB119, bitIndex2)))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15186,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB119)) | (~v130(constB119, bitIndex2))),
% 41.92/27.52 inference(modus_ponens,[status(thm)],[15185, 15184])).
% 41.92/27.52 tff(15187,plain,
% 41.92/27.52 (~v130(constB119, bitIndex2)),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15186, 1990, 15183])).
% 41.92/27.52 tff(15188,assumption,(v26(constB119)), introduced(assumption)).
% 41.92/27.52 tff(15189,plain,
% 41.92/27.52 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 41.92/27.52 inference(quant_inst,[status(thm)],[])).
% 41.92/27.52 tff(15190,plain,
% 41.92/27.52 ($false),
% 41.92/27.52 inference(unit_resolution,[status(thm)],[15189, 95, 15188])).
% 41.92/27.52 tff(15191,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 41.92/27.52 tff(15192,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15193,plain,
% 41.92/27.52 ((v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2))) <=> ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 41.92/27.52 inference(rewrite,[status(thm)],[])).
% 41.92/27.52 tff(15194,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2)))),
% 41.92/27.52 inference(monotonicity,[status(thm)],[15193])).
% 41.92/27.52 tff(15195,plain,
% 41.92/27.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15194, 15192])).
% 41.92/27.53 tff(15196,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15197,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15196, 15195])).
% 41.92/27.53 tff(15198,plain,
% 41.92/27.53 ((~v127(constB119, bitIndex2)) | v130(constB119, bitIndex2)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15197, 1419, 15191])).
% 41.92/27.53 tff(15199,plain,
% 41.92/27.53 (~v127(constB119, bitIndex2)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15198, 15187])).
% 41.92/27.53 tff(15200,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15201,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15202,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15201, 15200])).
% 41.92/27.53 tff(15203,plain,
% 41.92/27.53 (v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2))),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15202, 1437, 14631])).
% 41.92/27.53 tff(15204,plain,
% 41.92/27.53 (~v129(constB120, bitIndex2)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15203, 15199])).
% 41.92/27.53 tff(15205,assumption,(~v100(constB120)), introduced(assumption)).
% 41.92/27.53 tff(15206,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15207,plain,
% 41.92/27.53 (((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)) <=> ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15208,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120)))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15207])).
% 41.92/27.53 tff(15209,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15208, 15206])).
% 41.92/27.53 tff(15210,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15211,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15210, 15209])).
% 41.92/27.53 tff(15212,plain,
% 41.92/27.53 (v104(constB120) | v102(constB120)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15211, 673, 14631])).
% 41.92/27.53 tff(15213,plain,
% 41.92/27.53 (v102(constB120)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15212, 14653])).
% 41.92/27.53 tff(15214,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15215,plain,
% 41.92/27.53 (((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))) <=> ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15216,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120))))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15215])).
% 41.92/27.53 tff(15217,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15216, 15214])).
% 41.92/27.53 tff(15218,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15219,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15218, 15217])).
% 41.92/27.53 tff(15220,plain,
% 41.92/27.53 (v101(constB120) | (~v102(constB120))),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15219, 694, 14631, 14674])).
% 41.92/27.53 tff(15221,plain,
% 41.92/27.53 (v101(constB120)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15220, 15213])).
% 41.92/27.53 tff(15222,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15223,plain,
% 41.92/27.53 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15224,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15223])).
% 41.92/27.53 tff(15225,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15224, 15222])).
% 41.92/27.53 tff(15226,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15227,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15226, 15225])).
% 41.92/27.53 tff(15228,plain,
% 41.92/27.53 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15227, 712, 14631])).
% 41.92/27.53 tff(15229,plain,
% 41.92/27.53 (v100(constB120) | (~v110(constB120))),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15228, 15221])).
% 41.92/27.53 tff(15230,plain,
% 41.92/27.53 (~v110(constB120)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15229, 15205])).
% 41.92/27.53 tff(15231,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15232,plain,
% 41.92/27.53 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15233,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15232])).
% 41.92/27.53 tff(15234,plain,
% 41.92/27.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15233, 15231])).
% 41.92/27.53 tff(15235,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15236,plain,
% 41.92/27.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15235, 15234])).
% 41.92/27.53 tff(15237,plain,
% 41.92/27.53 (v110(constB120) | (~v108(constB119))),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15236, 731, 14631])).
% 41.92/27.53 tff(15238,plain,
% 41.92/27.53 (~v108(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15237, 15230])).
% 41.92/27.53 tff(15239,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15240,plain,
% 41.92/27.53 (((~v112(constB119)) | v108(constB119)) <=> (v108(constB119) | (~v112(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15241,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119))))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15240])).
% 41.92/27.53 tff(15242,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15241, 15239])).
% 41.92/27.53 tff(15243,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15244,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15243, 15242])).
% 41.92/27.53 tff(15245,plain,
% 41.92/27.53 (~v112(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15244, 746, 15238])).
% 41.92/27.53 tff(15246,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15247,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15248,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15247, 15246])).
% 41.92/27.53 tff(15249,plain,
% 41.92/27.53 ((~v113(constB119)) | v112(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15248, 581, 15191])).
% 41.92/27.53 tff(15250,plain,
% 41.92/27.53 (~v113(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15249, 15245])).
% 41.92/27.53 tff(15251,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB119)) | v113(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15252,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15253,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB119)) | v113(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15252, 15251])).
% 41.92/27.53 tff(15254,plain,
% 41.92/27.53 (~v114(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15253, 567, 15250])).
% 41.92/27.53 tff(15255,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB119)) | v114(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15256,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15257,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB119)) | v114(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15256, 15255])).
% 41.92/27.53 tff(15258,plain,
% 41.92/27.53 (~v115(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15257, 553, 15254])).
% 41.92/27.53 tff(15259,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v116(constB119)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v116(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15260,plain,
% 41.92/27.53 (((~v116(constB119)) | v115(constB119)) <=> (v115(constB119) | (~v116(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15261,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v116(constB119))))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15260])).
% 41.92/27.53 tff(15262,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v116(constB119)))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15261, 15259])).
% 41.92/27.53 tff(15263,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15264,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v116(constB119))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15263, 15262])).
% 41.92/27.53 tff(15265,plain,
% 41.92/27.53 (~v116(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15264, 539, 15258])).
% 41.92/27.53 tff(15266,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB119)) | v116(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15267,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB119)) | v116(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15268,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB119)) | v116(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15267, 15266])).
% 41.92/27.53 tff(15269,plain,
% 41.92/27.53 (~v122(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15268, 2140, 15265])).
% 41.92/27.53 tff(15270,plain,
% 41.92/27.53 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v114(VarCurr)) <=> ((~v124(VarCurr)) | v114(VarCurr)))),
% 41.92/27.53 inference(bind,[status(th)],[])).
% 41.92/27.53 tff(15271,plain,
% 41.92/27.53 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 41.92/27.53 inference(quant_intro,[status(thm)],[15270])).
% 41.92/27.53 tff(15272,plain,
% 41.92/27.53 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15273,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 41.92/27.53 tff(15274,plain,
% 41.92/27.53 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15273, 15272])).
% 41.92/27.53 tff(15275,plain,(
% 41.92/27.53 ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 41.92/27.53 inference(skolemize,[status(sab)],[15274])).
% 41.92/27.53 tff(15276,plain,
% 41.92/27.53 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15275, 15271])).
% 41.92/27.53 tff(15277,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB119)) | v114(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15278,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15279,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB119)) | v114(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15278, 15277])).
% 41.92/27.53 tff(15280,plain,
% 41.92/27.53 (~v124(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15279, 15276, 15254])).
% 41.92/27.53 tff(15281,assumption,(~v113(constB119)), introduced(assumption)).
% 41.92/27.53 tff(15282,plain,
% 41.92/27.53 (~v114(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15253, 567, 15281])).
% 41.92/27.53 tff(15283,plain,
% 41.92/27.53 (~v115(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15257, 553, 15282])).
% 41.92/27.53 tff(15284,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB119)) | v115(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15285,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB119)) | v115(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15286,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB119)) | v115(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15285, 15284])).
% 41.92/27.53 tff(15287,plain,
% 41.92/27.53 (~v123(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15286, 990, 15283])).
% 41.92/27.53 tff(15288,plain,
% 41.92/27.53 (~v116(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15264, 539, 15283])).
% 41.92/27.53 tff(15289,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB119) | (~v117(constB119)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15290,plain,
% 41.92/27.53 (((~v117(constB119)) | v116(constB119)) <=> (v116(constB119) | (~v117(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15291,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB119) | (~v117(constB119))))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15290])).
% 41.92/27.53 tff(15292,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119)))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15291, 15289])).
% 41.92/27.53 tff(15293,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15294,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15293, 15292])).
% 41.92/27.53 tff(15295,plain,
% 41.92/27.53 (~v117(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15294, 525, 15288])).
% 41.92/27.53 tff(15296,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB119)) | v117(constB119))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB119)) | v117(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15297,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB119)) | v117(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15298,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB119)) | v117(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15297, 15296])).
% 41.92/27.53 tff(15299,plain,
% 41.92/27.53 (~v121(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15298, 1881, 15295])).
% 41.92/27.53 tff(15300,assumption,(~v90(constB119, bitIndex0)), introduced(assumption)).
% 41.92/27.53 tff(15301,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB119) | (~v118(constB119)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB119) | (~v118(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15302,plain,
% 41.92/27.53 (((~v118(constB119)) | v117(constB119)) <=> (v117(constB119) | (~v118(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15303,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB119)) | v117(constB119))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB119) | (~v118(constB119))))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15302])).
% 41.92/27.53 tff(15304,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB119)) | v117(constB119))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB119) | (~v118(constB119)))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15303, 15301])).
% 41.92/27.53 tff(15305,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB119)) | v117(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15306,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB119) | (~v118(constB119))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15305, 15304])).
% 41.92/27.53 tff(15307,plain,
% 41.92/27.53 (~v118(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15306, 511, 15295])).
% 41.92/27.53 tff(15308,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v119(constB119)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v119(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15309,plain,
% 41.92/27.53 (((~v119(constB119)) | v118(constB119)) <=> (v118(constB119) | (~v119(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15310,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v119(constB119))))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15309])).
% 41.92/27.53 tff(15311,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v119(constB119)))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15310, 15308])).
% 41.92/27.53 tff(15312,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB119)) | v118(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15313,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v119(constB119))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15312, 15311])).
% 41.92/27.53 tff(15314,plain,
% 41.92/27.53 (~v119(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15313, 500, 15307])).
% 41.92/27.53 tff(15315,assumption,(~v119(constB119)), introduced(assumption)).
% 41.92/27.53 tff(15316,assumption,(~v90(constB119, bitIndex2)), introduced(assumption)).
% 41.92/27.53 tff(15317,assumption,(~v121(constB119)), introduced(assumption)).
% 41.92/27.53 tff(15318,plain,
% 41.92/27.53 ((~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15182, 1870, 15300])).
% 41.92/27.53 tff(15319,plain,
% 41.92/27.53 (~v90(constB119, bitIndex1)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15318, 15316, 15317])).
% 41.92/27.53 tff(15320,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15321,plain,
% 41.92/27.53 ((v90(constB119, bitIndex0) | v119(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2)) <=> (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15322,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v119(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119)))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15321])).
% 41.92/27.53 tff(15323,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v119(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15322, 15320])).
% 41.92/27.53 tff(15324,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v119(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15325,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 41.92/27.53 tff(15326,plain,
% 41.92/27.53 (v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15325, 486, 15300])).
% 41.92/27.53 tff(15327,plain,
% 41.92/27.53 ($false),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15326, 15319, 15316, 15315])).
% 41.92/27.53 tff(15328,plain,(v90(constB119, bitIndex2) | v119(constB119) | v90(constB119, bitIndex0) | v121(constB119)), inference(lemma,lemma(discharge,[]))).
% 41.92/27.53 tff(15329,plain,
% 41.92/27.53 (v90(constB119, bitIndex2)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15328, 15314, 15300, 15299])).
% 41.92/27.53 tff(15330,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB119)) | v113(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15331,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB119)) | v113(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15332,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB119)) | v113(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15331, 15330])).
% 41.92/27.53 tff(15333,plain,
% 41.92/27.53 (~v125(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15332, 1263, 15281])).
% 41.92/27.53 tff(15334,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | (~v90(constB119, bitIndex2)) | v125(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | (~v90(constB119, bitIndex2)) | v125(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15335,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | (~v90(constB119, bitIndex2)) | v125(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15336,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | (~v90(constB119, bitIndex2)) | v125(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15335, 15334])).
% 41.92/27.53 tff(15337,plain,
% 41.92/27.53 ((~v90(constB119, bitIndex1)) | (~v90(constB119, bitIndex2)) | v125(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15336, 1252, 15300])).
% 41.92/27.53 tff(15338,plain,
% 41.92/27.53 (~v90(constB119, bitIndex1)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15337, 15329, 15333])).
% 41.92/27.53 tff(15339,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15340,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15341,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119)),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15340, 15339])).
% 41.92/27.53 tff(15342,plain,
% 41.92/27.53 (v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15341, 979, 15300])).
% 41.92/27.53 tff(15343,plain,
% 41.92/27.53 ($false),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15342, 15338, 15329, 15287])).
% 41.92/27.53 tff(15344,plain,(v113(constB119) | v90(constB119, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 41.92/27.53 tff(15345,plain,
% 41.92/27.53 (v90(constB119, bitIndex0)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15344, 15250])).
% 41.92/27.53 tff(15346,plain,
% 41.92/27.53 (~v117(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15294, 525, 15265])).
% 41.92/27.53 tff(15347,plain,
% 41.92/27.53 (~v118(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15306, 511, 15346])).
% 41.92/27.53 tff(15348,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v120(constB119)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v120(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15349,plain,
% 41.92/27.53 (((~v120(constB119)) | v118(constB119)) <=> (v118(constB119) | (~v120(constB119)))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15350,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v120(constB119))))),
% 41.92/27.53 inference(monotonicity,[status(thm)],[15349])).
% 41.92/27.53 tff(15351,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v120(constB119)))),
% 41.92/27.53 inference(transitivity,[status(thm)],[15350, 15348])).
% 41.92/27.53 tff(15352,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB119)) | v118(constB119))),
% 41.92/27.53 inference(quant_inst,[status(thm)],[])).
% 41.92/27.53 tff(15353,plain,
% 41.92/27.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v120(constB119))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15352, 15351])).
% 41.92/27.53 tff(15354,plain,
% 41.92/27.53 (~v120(constB119)),
% 41.92/27.53 inference(unit_resolution,[status(thm)],[15353, 1630, 15347])).
% 41.92/27.53 tff(15355,assumption,(~v120(constB119)), introduced(assumption)).
% 41.92/27.53 tff(15356,assumption,(~v90(constB119, bitIndex1)), introduced(assumption)).
% 41.92/27.53 tff(15357,assumption,(~v124(constB119)), introduced(assumption)).
% 41.92/27.53 tff(15358,assumption,(v90(constB119, bitIndex0)), introduced(assumption)).
% 41.92/27.53 tff(15359,plain,
% 41.92/27.53 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)))),
% 41.92/27.53 inference(bind,[status(th)],[])).
% 41.92/27.53 tff(15360,plain,
% 41.92/27.53 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 41.92/27.53 inference(quant_intro,[status(thm)],[15359])).
% 41.92/27.53 tff(15361,plain,
% 41.92/27.53 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 41.92/27.53 inference(rewrite,[status(thm)],[])).
% 41.92/27.53 tff(15362,plain,
% 41.92/27.53 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1))), (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))), (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))), ((((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))))),
% 41.92/27.53 inference(bind,[status(th)],[])).
% 41.92/27.53 tff(15363,plain,
% 41.92/27.53 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 41.92/27.53 inference(quant_intro,[status(thm)],[15362])).
% 41.92/27.53 tff(15364,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 41.92/27.53 tff(15365,plain,
% 41.92/27.53 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 41.92/27.53 tff(15366,plain,
% 41.92/27.53 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15365, 15361])).
% 41.92/27.53 tff(15367,plain,(
% 41.92/27.53 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 41.92/27.53 inference(skolemize,[status(sab)],[15366])).
% 41.92/27.53 tff(15368,plain,
% 41.92/27.53 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 41.92/27.53 inference(modus_ponens,[status(thm)],[15367, 15360])).
% 41.92/27.53 tff(15369,plain,
% 41.92/27.53 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15370,plain,
% 41.92/27.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15371,plain,
% 41.92/27.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119)),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15370, 15369])).
% 41.92/27.54 tff(15372,plain,
% 41.92/27.54 (v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15371, 15368, 15358])).
% 41.92/27.54 tff(15373,plain,
% 41.92/27.54 (~v90(constB119, bitIndex2)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15372, 15356, 15357])).
% 41.92/27.54 tff(15374,plain,
% 41.92/27.54 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15375,plain,
% 41.92/27.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15376,plain,
% 41.92/27.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119)),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15375, 15374])).
% 41.92/27.54 tff(15377,plain,
% 41.92/27.54 (v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15376, 1619, 15358])).
% 41.92/27.54 tff(15378,plain,
% 41.92/27.54 ($false),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15377, 15373, 15356, 15355])).
% 41.92/27.54 tff(15379,plain,(v90(constB119, bitIndex1) | v120(constB119) | (~v90(constB119, bitIndex0)) | v124(constB119)), inference(lemma,lemma(discharge,[]))).
% 41.92/27.54 tff(15380,plain,
% 41.92/27.54 (v90(constB119, bitIndex1)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15379, 15354, 15345, 15280])).
% 41.92/27.54 tff(15381,plain,
% 41.92/27.54 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v122(constB119))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v122(constB119))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15382,plain,
% 41.92/27.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v122(constB119))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15383,plain,
% 41.92/27.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v122(constB119)),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15382, 15381])).
% 41.92/27.54 tff(15384,plain,
% 41.92/27.54 ((~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v122(constB119)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15383, 2129, 15345])).
% 41.92/27.54 tff(15385,plain,
% 41.92/27.54 (v90(constB119, bitIndex2)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15384, 15380, 15269])).
% 41.92/27.54 tff(15386,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB119, bitIndex0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB119, bitIndex0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex0))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15387,plain,
% 41.92/27.54 (((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex0)) | v100(constB120) | v90(constB120, bitIndex0)) <=> ((~v90(constB119, bitIndex0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex0))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15388,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex0)) | v100(constB120) | v90(constB120, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB119, bitIndex0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex0)))),
% 41.92/27.54 inference(monotonicity,[status(thm)],[15387])).
% 41.92/27.54 tff(15389,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex0)) | v100(constB120) | v90(constB120, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB119, bitIndex0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex0))),
% 41.92/27.54 inference(transitivity,[status(thm)],[15388, 15386])).
% 41.92/27.54 tff(15390,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex0)) | v100(constB120) | v90(constB120, bitIndex0))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15391,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB119, bitIndex0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex0)),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15390, 15389])).
% 41.92/27.54 tff(15392,plain,
% 41.92/27.54 ((~v90(constB119, bitIndex0)) | v100(constB120) | v90(constB120, bitIndex0)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15391, 1600, 14631])).
% 41.92/27.54 tff(15393,plain,
% 41.92/27.54 (v90(constB120, bitIndex0)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15392, 15345, 15205])).
% 41.92/27.54 tff(15394,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15395,plain,
% 41.92/27.54 (((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1)) <=> ((~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15396,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1)))),
% 41.92/27.54 inference(monotonicity,[status(thm)],[15395])).
% 41.92/27.54 tff(15397,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1))),
% 41.92/27.54 inference(transitivity,[status(thm)],[15396, 15394])).
% 41.92/27.54 tff(15398,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15399,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB119, bitIndex1)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex1)),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15398, 15397])).
% 41.92/27.54 tff(15400,plain,
% 41.92/27.54 ((~v90(constB119, bitIndex1)) | v100(constB120) | v90(constB120, bitIndex1)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15399, 1192, 14631])).
% 41.92/27.54 tff(15401,plain,
% 41.92/27.54 (v90(constB120, bitIndex1)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15400, 15380, 15205])).
% 41.92/27.54 tff(15402,assumption,(v90(constB120, bitIndex0)), introduced(assumption)).
% 41.92/27.54 tff(15403,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15404,plain,
% 41.92/27.54 (((~nextState(constB119, constB120)) | v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0))) <=> (v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15405,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0))))),
% 41.92/27.54 inference(monotonicity,[status(thm)],[15404])).
% 41.92/27.54 tff(15406,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0)))),
% 41.92/27.54 inference(transitivity,[status(thm)],[15405, 15403])).
% 41.92/27.54 tff(15407,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0)))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15408,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB119, bitIndex0) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex0))),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15407, 15406])).
% 41.92/27.54 tff(15409,plain,
% 41.92/27.54 (v90(constB119, bitIndex0) | v100(constB120) | (~v90(constB120, bitIndex0))),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15408, 465, 14631])).
% 41.92/27.54 tff(15410,plain,
% 41.92/27.54 (v90(constB119, bitIndex0)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15409, 15205, 15402])).
% 41.92/27.54 tff(15411,plain,
% 41.92/27.54 (v90(constB118, bitIndex0)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[14493, 15410])).
% 41.92/27.54 tff(15412,assumption,(v90(constB120, bitIndex2)), introduced(assumption)).
% 41.92/27.54 tff(15413,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15414,plain,
% 41.92/27.54 (((~nextState(constB119, constB120)) | v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2))) <=> (v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15415,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2))))),
% 41.92/27.54 inference(monotonicity,[status(thm)],[15414])).
% 41.92/27.54 tff(15416,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2)))),
% 41.92/27.54 inference(transitivity,[status(thm)],[15415, 15413])).
% 41.92/27.54 tff(15417,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2)))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15418,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2))),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15417, 15416])).
% 41.92/27.54 tff(15419,plain,
% 41.92/27.54 (v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2))),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15418, 423, 14631])).
% 41.92/27.54 tff(15420,plain,
% 41.92/27.54 (v90(constB119, bitIndex2)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15419, 15205, 15412])).
% 41.92/27.54 tff(15421,plain,
% 41.92/27.54 (v90(constB118, bitIndex2)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[14448, 15420])).
% 41.92/27.54 tff(15422,assumption,(v90(constB120, bitIndex1)), introduced(assumption)).
% 41.92/27.54 tff(15423,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15424,plain,
% 41.92/27.54 (((~nextState(constB119, constB120)) | v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1))) <=> (v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15425,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1))))),
% 41.92/27.54 inference(monotonicity,[status(thm)],[15424])).
% 41.92/27.54 tff(15426,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1)))),
% 41.92/27.54 inference(transitivity,[status(thm)],[15425, 15423])).
% 41.92/27.54 tff(15427,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1)))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15428,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB119, bitIndex1) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex1))),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15427, 15426])).
% 41.92/27.54 tff(15429,plain,
% 41.92/27.54 (v90(constB119, bitIndex1) | v100(constB120) | (~v90(constB120, bitIndex1))),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15428, 444, 14631])).
% 41.92/27.54 tff(15430,plain,
% 41.92/27.54 (v90(constB119, bitIndex1)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15429, 15205, 15422])).
% 41.92/27.54 tff(15431,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15432,plain,
% 41.92/27.54 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15433,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))))),
% 41.92/27.54 inference(monotonicity,[status(thm)],[15432])).
% 41.92/27.54 tff(15434,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 41.92/27.54 inference(transitivity,[status(thm)],[15433, 15431])).
% 41.92/27.54 tff(15435,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15436,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15435, 15434])).
% 41.92/27.54 tff(15437,plain,
% 41.92/27.54 (v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15436, 444, 14428])).
% 41.92/27.54 tff(15438,plain,
% 41.92/27.54 (v90(constB118, bitIndex1) | (~v90(constB119, bitIndex1))),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15437, 14440])).
% 41.92/27.54 tff(15439,plain,
% 41.92/27.54 (v90(constB118, bitIndex1)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15438, 15430])).
% 41.92/27.54 tff(15440,assumption,(v90(constB118, bitIndex0)), introduced(assumption)).
% 41.92/27.54 tff(15441,assumption,(~v100(constB118)), introduced(assumption)).
% 41.92/27.54 tff(15442,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB117, bitIndex0) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB117, bitIndex0) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex0)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15443,plain,
% 41.92/27.54 (((~nextState(constB117, constB118)) | v90(constB117, bitIndex0) | v100(constB118) | (~v90(constB118, bitIndex0))) <=> (v90(constB117, bitIndex0) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex0)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15444,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v90(constB117, bitIndex0) | v100(constB118) | (~v90(constB118, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB117, bitIndex0) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex0))))),
% 41.92/27.54 inference(monotonicity,[status(thm)],[15443])).
% 41.92/27.54 tff(15445,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v90(constB117, bitIndex0) | v100(constB118) | (~v90(constB118, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB117, bitIndex0) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex0)))),
% 41.92/27.54 inference(transitivity,[status(thm)],[15444, 15442])).
% 41.92/27.54 tff(15446,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v90(constB117, bitIndex0) | v100(constB118) | (~v90(constB118, bitIndex0)))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15447,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB117, bitIndex0) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex0))),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15446, 15445])).
% 41.92/27.54 tff(15448,plain,
% 41.92/27.54 (v90(constB117, bitIndex0) | v100(constB118) | (~v90(constB118, bitIndex0))),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15447, 465, 14360])).
% 41.92/27.54 tff(15449,plain,
% 41.92/27.54 (v90(constB117, bitIndex0)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15448, 15441, 15440])).
% 41.92/27.54 tff(15450,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15451,plain,
% 41.92/27.54 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15452,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))))),
% 41.92/27.54 inference(monotonicity,[status(thm)],[15451])).
% 41.92/27.54 tff(15453,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 41.92/27.54 inference(transitivity,[status(thm)],[15452, 15450])).
% 41.92/27.54 tff(15454,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15455,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 41.92/27.54 inference(modus_ponens,[status(thm)],[15454, 15453])).
% 41.92/27.54 tff(15456,plain,
% 41.92/27.54 (v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15455, 465, 14212])).
% 41.92/27.54 tff(15457,plain,
% 41.92/27.54 (v90(constB116, bitIndex0) | (~v90(constB117, bitIndex0))),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15456, 14224])).
% 41.92/27.54 tff(15458,plain,
% 41.92/27.54 (v90(constB116, bitIndex0)),
% 41.92/27.54 inference(unit_resolution,[status(thm)],[15457, 15449])).
% 41.92/27.54 tff(15459,assumption,(v90(constB118, bitIndex2)), introduced(assumption)).
% 41.92/27.54 tff(15460,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB117, bitIndex2) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB117, bitIndex2) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex2)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15461,plain,
% 41.92/27.54 (((~nextState(constB117, constB118)) | v90(constB117, bitIndex2) | v100(constB118) | (~v90(constB118, bitIndex2))) <=> (v90(constB117, bitIndex2) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex2)))),
% 41.92/27.54 inference(rewrite,[status(thm)],[])).
% 41.92/27.54 tff(15462,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v90(constB117, bitIndex2) | v100(constB118) | (~v90(constB118, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB117, bitIndex2) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex2))))),
% 41.92/27.54 inference(monotonicity,[status(thm)],[15461])).
% 41.92/27.54 tff(15463,plain,
% 41.92/27.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v90(constB117, bitIndex2) | v100(constB118) | (~v90(constB118, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB117, bitIndex2) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex2)))),
% 41.92/27.54 inference(transitivity,[status(thm)],[15462, 15460])).
% 41.92/27.54 tff(15464,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v90(constB117, bitIndex2) | v100(constB118) | (~v90(constB118, bitIndex2)))),
% 41.92/27.54 inference(quant_inst,[status(thm)],[])).
% 41.92/27.54 tff(15465,plain,
% 41.92/27.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB117, bitIndex2) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex2))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15464, 15463])).
% 41.92/27.55 tff(15466,plain,
% 41.92/27.55 (v90(constB117, bitIndex2) | v100(constB118) | (~v90(constB118, bitIndex2))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15465, 423, 14360])).
% 41.92/27.55 tff(15467,plain,
% 41.92/27.55 (v90(constB117, bitIndex2)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15466, 15441, 15459])).
% 41.92/27.55 tff(15468,plain,
% 41.92/27.55 (v90(constB116, bitIndex2)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14232, 15467])).
% 41.92/27.55 tff(15469,assumption,(v90(constB118, bitIndex1)), introduced(assumption)).
% 41.92/27.55 tff(15470,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex1)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15471,plain,
% 41.92/27.55 (((~nextState(constB117, constB118)) | v90(constB117, bitIndex1) | v100(constB118) | (~v90(constB118, bitIndex1))) <=> (v90(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex1)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15472,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v90(constB117, bitIndex1) | v100(constB118) | (~v90(constB118, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex1))))),
% 41.92/27.55 inference(monotonicity,[status(thm)],[15471])).
% 41.92/27.55 tff(15473,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v90(constB117, bitIndex1) | v100(constB118) | (~v90(constB118, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex1)))),
% 41.92/27.55 inference(transitivity,[status(thm)],[15472, 15470])).
% 41.92/27.55 tff(15474,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v90(constB117, bitIndex1) | v100(constB118) | (~v90(constB118, bitIndex1)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15475,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v100(constB118) | (~v90(constB118, bitIndex1))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15474, 15473])).
% 41.92/27.55 tff(15476,plain,
% 41.92/27.55 (v90(constB117, bitIndex1) | v100(constB118) | (~v90(constB118, bitIndex1))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15475, 444, 14360])).
% 41.92/27.55 tff(15477,plain,
% 41.92/27.55 (v90(constB117, bitIndex1)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15476, 15441, 15469])).
% 41.92/27.55 tff(15478,plain,
% 41.92/27.55 (v90(constB116, bitIndex1)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14266, 15477])).
% 41.92/27.55 tff(15479,assumption,(v100(constB116)), introduced(assumption)).
% 41.92/27.55 tff(15480,assumption,(v90(constB116, bitIndex2)), introduced(assumption)).
% 41.92/27.55 tff(15481,plain,
% 41.92/27.55 (v129(constB116, bitIndex2) | (~v100(constB116))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14204, 1452, 15480])).
% 41.92/27.55 tff(15482,plain,
% 41.92/27.55 (v129(constB116, bitIndex2)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15481, 15479])).
% 41.92/27.55 tff(15483,plain,
% 41.92/27.55 (v127(constB115, bitIndex2)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14200, 15482])).
% 41.92/27.55 tff(15484,plain,
% 41.92/27.55 (v130(constB115, bitIndex2)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14195, 15483])).
% 41.92/27.55 tff(15485,plain,
% 41.92/27.55 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB115)) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB115)) | (~v130(constB115, bitIndex2)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15486,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB115)) | (~v130(constB115, bitIndex2)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15487,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB115)) | (~v130(constB115, bitIndex2))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15486, 15485])).
% 41.92/27.55 tff(15488,plain,
% 41.92/27.55 (~v124(constB115)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15487, 3868, 15484])).
% 41.92/27.55 tff(15489,plain,
% 41.92/27.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB115)) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB115)) | (~v130(constB115, bitIndex2)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15490,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB115)) | (~v130(constB115, bitIndex2)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15491,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB115)) | (~v130(constB115, bitIndex2))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15490, 15489])).
% 41.92/27.55 tff(15492,plain,
% 41.92/27.55 (~v121(constB115)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15491, 1990, 15484])).
% 41.92/27.55 tff(15493,assumption,(v90(constB116, bitIndex0)), introduced(assumption)).
% 41.92/27.55 tff(15494,plain,
% 41.92/27.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15495,plain,
% 41.92/27.55 (((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15496,plain,
% 41.92/27.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))))),
% 41.92/27.55 inference(monotonicity,[status(thm)],[15495])).
% 41.92/27.55 tff(15497,plain,
% 41.92/27.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 41.92/27.55 inference(transitivity,[status(thm)],[15496, 15494])).
% 41.92/27.55 tff(15498,plain,
% 41.92/27.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15499,plain,
% 41.92/27.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15498, 15497])).
% 41.92/27.55 tff(15500,plain,
% 41.92/27.55 (v129(constB116, bitIndex0) | (~v100(constB116))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15499, 952, 15493])).
% 41.92/27.55 tff(15501,plain,
% 41.92/27.55 (v129(constB116, bitIndex0)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15500, 15479])).
% 41.92/27.55 tff(15502,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15503,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15504,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15503, 15502])).
% 41.92/27.55 tff(15505,plain,
% 41.92/27.55 (v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15504, 937, 14120])).
% 41.92/27.55 tff(15506,plain,
% 41.92/27.55 (v127(constB115, bitIndex0)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15505, 15501])).
% 41.92/27.55 tff(15507,plain,
% 41.92/27.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15508,plain,
% 41.92/27.55 ((v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0))) <=> ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15509,plain,
% 41.92/27.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)))),
% 41.92/27.55 inference(monotonicity,[status(thm)],[15508])).
% 41.92/27.55 tff(15510,plain,
% 41.92/27.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 41.92/27.55 inference(transitivity,[status(thm)],[15509, 15507])).
% 41.92/27.55 tff(15511,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15512,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15511, 15510])).
% 41.92/27.55 tff(15513,plain,
% 41.92/27.55 ((~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15512, 907, 14105])).
% 41.92/27.55 tff(15514,plain,
% 41.92/27.55 (v130(constB115, bitIndex0)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15513, 15506])).
% 41.92/27.55 tff(15515,plain,
% 41.92/27.55 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB115)) | (~v130(constB115, bitIndex0)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15516,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB115)) | (~v130(constB115, bitIndex0)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15517,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB115)) | (~v130(constB115, bitIndex0))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 41.92/27.55 tff(15518,plain,
% 41.92/27.55 (~v120(constB115)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15517, 1826, 15514])).
% 41.92/27.55 tff(15519,plain,
% 41.92/27.55 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB115)) | (~v130(constB115, bitIndex0)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15520,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB115)) | (~v130(constB115, bitIndex0)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15521,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB115)) | (~v130(constB115, bitIndex0))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15520, 15519])).
% 41.92/27.55 tff(15522,plain,
% 41.92/27.55 (~v119(constB115)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15521, 893, 15514])).
% 41.92/27.55 tff(15523,plain,
% 41.92/27.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15524,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15525,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 41.92/27.55 tff(15526,plain,
% 41.92/27.55 (~v122(constB115)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15525, 2327, 15514])).
% 41.92/27.55 tff(15527,plain,
% 41.92/27.55 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB115)) | (~v130(constB115, bitIndex0)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15528,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB115)) | (~v130(constB115, bitIndex0)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15529,plain,
% 41.92/27.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB115)) | (~v130(constB115, bitIndex0))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15528, 15527])).
% 41.92/27.55 tff(15530,plain,
% 41.92/27.55 (~v123(constB115)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15529, 1208, 15514])).
% 41.92/27.55 tff(15531,assumption,(v90(constB116, bitIndex1)), introduced(assumption)).
% 41.92/27.55 tff(15532,plain,
% 41.92/27.55 (v129(constB116, bitIndex1) | (~v100(constB116))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14256, 868, 15531])).
% 41.92/27.55 tff(15533,plain,
% 41.92/27.55 (v129(constB116, bitIndex1)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15532, 15479])).
% 41.92/27.55 tff(15534,plain,
% 41.92/27.55 (v127(constB115, bitIndex1)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14249, 15533])).
% 41.92/27.55 tff(15535,plain,
% 41.92/27.55 (v130(constB115, bitIndex1)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14244, 15534])).
% 41.92/27.55 tff(15536,plain,
% 41.92/27.55 ($false),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14236, 1494, 15535, 15530, 15526, 15522, 15518, 15492, 15488])).
% 41.92/27.55 tff(15537,plain,((~v100(constB116)) | (~v90(constB116, bitIndex1)) | (~v90(constB116, bitIndex2)) | (~v90(constB116, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 41.92/27.55 tff(15538,plain,
% 41.92/27.55 (~v100(constB116)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15537, 15478, 15468, 15458])).
% 41.92/27.55 tff(15539,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15540,plain,
% 41.92/27.55 (((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0))) <=> (v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15541,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0))))),
% 41.92/27.55 inference(monotonicity,[status(thm)],[15540])).
% 41.92/27.55 tff(15542,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 41.92/27.55 inference(transitivity,[status(thm)],[15541, 15539])).
% 41.92/27.55 tff(15543,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15544,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 41.92/27.55 tff(15545,plain,
% 41.92/27.55 (v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15544, 465, 14120])).
% 41.92/27.55 tff(15546,plain,
% 41.92/27.55 (v90(constB115, bitIndex0)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15545, 15538, 15458])).
% 41.92/27.55 tff(15547,plain,
% 41.92/27.55 (v90(constB114, bitIndex0)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[14092, 15546])).
% 41.92/27.55 tff(15548,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15549,plain,
% 41.92/27.55 (((~nextState(constB115, constB116)) | v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1))) <=> (v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15550,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1))))),
% 41.92/27.55 inference(monotonicity,[status(thm)],[15549])).
% 41.92/27.55 tff(15551,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1)))),
% 41.92/27.55 inference(transitivity,[status(thm)],[15550, 15548])).
% 41.92/27.55 tff(15552,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15553,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15552, 15551])).
% 41.92/27.55 tff(15554,plain,
% 41.92/27.55 (v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15553, 444, 14120])).
% 41.92/27.55 tff(15555,plain,
% 41.92/27.55 (v90(constB115, bitIndex1)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15554, 15538, 15478])).
% 41.92/27.55 tff(15556,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15557,plain,
% 41.92/27.55 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15558,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1))))),
% 41.92/27.55 inference(monotonicity,[status(thm)],[15557])).
% 41.92/27.55 tff(15559,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1)))),
% 41.92/27.55 inference(transitivity,[status(thm)],[15558, 15556])).
% 41.92/27.55 tff(15560,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15561,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15560, 15559])).
% 41.92/27.55 tff(15562,plain,
% 41.92/27.55 (v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15561, 444, 14007])).
% 41.92/27.55 tff(15563,plain,
% 41.92/27.55 (v90(constB114, bitIndex1) | (~v90(constB115, bitIndex1))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15562, 14019])).
% 41.92/27.55 tff(15564,plain,
% 41.92/27.55 (v90(constB114, bitIndex1)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15563, 15555])).
% 41.92/27.55 tff(15565,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15566,plain,
% 41.92/27.55 (((~nextState(constB115, constB116)) | v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2))) <=> (v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15567,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2))))),
% 41.92/27.55 inference(monotonicity,[status(thm)],[15566])).
% 41.92/27.55 tff(15568,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2)))),
% 41.92/27.55 inference(transitivity,[status(thm)],[15567, 15565])).
% 41.92/27.55 tff(15569,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15570,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15569, 15568])).
% 41.92/27.55 tff(15571,plain,
% 41.92/27.55 (v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15570, 423, 14120])).
% 41.92/27.55 tff(15572,plain,
% 41.92/27.55 (v90(constB115, bitIndex2)),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15571, 15538, 15468])).
% 41.92/27.55 tff(15573,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15574,plain,
% 41.92/27.55 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 41.92/27.55 inference(rewrite,[status(thm)],[])).
% 41.92/27.55 tff(15575,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))))),
% 41.92/27.55 inference(monotonicity,[status(thm)],[15574])).
% 41.92/27.55 tff(15576,plain,
% 41.92/27.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 41.92/27.55 inference(transitivity,[status(thm)],[15575, 15573])).
% 41.92/27.55 tff(15577,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 41.92/27.55 inference(quant_inst,[status(thm)],[])).
% 41.92/27.55 tff(15578,plain,
% 41.92/27.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 41.92/27.55 inference(modus_ponens,[status(thm)],[15577, 15576])).
% 41.92/27.55 tff(15579,plain,
% 41.92/27.55 (v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15578, 423, 14007])).
% 41.92/27.55 tff(15580,plain,
% 41.92/27.55 (v90(constB114, bitIndex2) | (~v90(constB115, bitIndex2))),
% 41.92/27.55 inference(unit_resolution,[status(thm)],[15579, 14019])).
% 41.92/27.56 tff(15581,plain,
% 41.92/27.56 (v90(constB114, bitIndex2)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15580, 15572])).
% 41.92/27.56 tff(15582,assumption,(v90(constB114, bitIndex2)), introduced(assumption)).
% 41.92/27.56 tff(15583,assumption,(~v90(constB113, bitIndex2)), introduced(assumption)).
% 41.92/27.56 tff(15584,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB113, bitIndex2) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB113, bitIndex2) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15585,plain,
% 41.92/27.56 (((~nextState(constB113, constB114)) | v90(constB113, bitIndex2) | v100(constB114) | (~v90(constB114, bitIndex2))) <=> (v90(constB113, bitIndex2) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15586,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex2) | v100(constB114) | (~v90(constB114, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB113, bitIndex2) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex2))))),
% 41.92/27.56 inference(monotonicity,[status(thm)],[15585])).
% 41.92/27.56 tff(15587,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex2) | v100(constB114) | (~v90(constB114, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB113, bitIndex2) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex2)))),
% 41.92/27.56 inference(transitivity,[status(thm)],[15586, 15584])).
% 41.92/27.56 tff(15588,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex2) | v100(constB114) | (~v90(constB114, bitIndex2)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15589,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB113, bitIndex2) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex2))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15588, 15587])).
% 41.92/27.56 tff(15590,plain,
% 41.92/27.56 (v90(constB113, bitIndex2) | v100(constB114) | (~v90(constB114, bitIndex2))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15589, 423, 13906])).
% 41.92/27.56 tff(15591,plain,
% 41.92/27.56 (v100(constB114)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15590, 15583, 15582])).
% 41.92/27.56 tff(15592,assumption,(v90(constB114, bitIndex0)), introduced(assumption)).
% 41.92/27.56 tff(15593,plain,
% 41.92/27.56 (v129(constB114, bitIndex0) | (~v100(constB114))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[14082, 952, 15592])).
% 41.92/27.56 tff(15594,plain,
% 41.92/27.56 (v129(constB114, bitIndex0)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15593, 15591])).
% 41.92/27.56 tff(15595,plain,
% 41.92/27.56 (v127(constB113, bitIndex0)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[14075, 15594])).
% 41.92/27.56 tff(15596,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB113)) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB113)) | (~v127(constB113, bitIndex0)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15597,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB113)) | (~v127(constB113, bitIndex0)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15598,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB113)) | (~v127(constB113, bitIndex0))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 41.92/27.56 tff(15599,plain,
% 41.92/27.56 (~v26(constB113)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15598, 922, 15595])).
% 41.92/27.56 tff(15600,plain,
% 41.92/27.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15601,plain,
% 41.92/27.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15602,plain,
% 41.92/27.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15601, 15600])).
% 41.92/27.56 tff(15603,plain,
% 41.92/27.56 (v129(constB114, bitIndex2) | (~v100(constB114))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15602, 1452, 15582])).
% 41.92/27.56 tff(15604,plain,
% 41.92/27.56 (v129(constB114, bitIndex2)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15603, 15591])).
% 41.92/27.56 tff(15605,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15606,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15607,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15606, 15605])).
% 41.92/27.56 tff(15608,plain,
% 41.92/27.56 (v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15607, 1437, 13906])).
% 41.92/27.56 tff(15609,plain,
% 41.92/27.56 (v127(constB113, bitIndex2)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15608, 15604])).
% 41.92/27.56 tff(15610,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15611,plain,
% 41.92/27.56 ((v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2))) <=> ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15612,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)))),
% 41.92/27.56 inference(monotonicity,[status(thm)],[15611])).
% 41.92/27.56 tff(15613,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 41.92/27.56 inference(transitivity,[status(thm)],[15612, 15610])).
% 41.92/27.56 tff(15614,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15615,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15614, 15613])).
% 41.92/27.56 tff(15616,plain,
% 41.92/27.56 (v130(constB113, bitIndex2)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15615, 1419, 15609, 15599])).
% 41.92/27.56 tff(15617,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB113)) | v90(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB113)) | v90(constB113, bitIndex2))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15618,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB113)) | v90(constB113, bitIndex2))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15619,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB113)) | v90(constB113, bitIndex2)),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 41.92/27.56 tff(15620,plain,
% 41.92/27.56 (~v124(constB113)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15619, 7573, 15583])).
% 41.92/27.56 tff(15621,assumption,(v90(constB114, bitIndex1)), introduced(assumption)).
% 41.92/27.56 tff(15622,plain,
% 41.92/27.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15623,plain,
% 41.92/27.56 (((~v90(constB114, bitIndex1)) | (~v100(constB114)) | v129(constB114, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15624,plain,
% 41.92/27.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~v100(constB114)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114))))),
% 41.92/27.56 inference(monotonicity,[status(thm)],[15623])).
% 41.92/27.56 tff(15625,plain,
% 41.92/27.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~v100(constB114)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114)))),
% 41.92/27.56 inference(transitivity,[status(thm)],[15624, 15622])).
% 41.92/27.56 tff(15626,plain,
% 41.92/27.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~v100(constB114)) | v129(constB114, bitIndex1))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15627,plain,
% 41.92/27.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15626, 15625])).
% 41.92/27.56 tff(15628,plain,
% 41.92/27.56 (v129(constB114, bitIndex1) | (~v100(constB114))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15627, 868, 15621])).
% 41.92/27.56 tff(15629,plain,
% 41.92/27.56 (v129(constB114, bitIndex1)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15628, 15591])).
% 41.92/27.56 tff(15630,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15631,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15632,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 41.92/27.56 tff(15633,plain,
% 41.92/27.56 (v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15632, 853, 13906])).
% 41.92/27.56 tff(15634,plain,
% 41.92/27.56 (v127(constB113, bitIndex1)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15633, 15629])).
% 41.92/27.56 tff(15635,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15636,plain,
% 41.92/27.56 ((v26(constB113) | v130(constB113, bitIndex1) | (~v127(constB113, bitIndex1))) <=> ((~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15637,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB113) | v130(constB113, bitIndex1) | (~v127(constB113, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1)))),
% 41.92/27.56 inference(monotonicity,[status(thm)],[15636])).
% 41.92/27.56 tff(15638,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB113) | v130(constB113, bitIndex1) | (~v127(constB113, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1))),
% 41.92/27.56 inference(transitivity,[status(thm)],[15637, 15635])).
% 41.92/27.56 tff(15639,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB113) | v130(constB113, bitIndex1) | (~v127(constB113, bitIndex1)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15640,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1)),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15639, 15638])).
% 41.92/27.56 tff(15641,plain,
% 41.92/27.56 (v130(constB113, bitIndex1)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15640, 823, 15634, 15599])).
% 41.92/27.56 tff(15642,plain,
% 41.92/27.56 (v130(constB113, bitIndex0)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[14069, 907, 15595, 15599])).
% 41.92/27.56 tff(15643,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB113)) | (~v130(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB113)) | (~v130(constB113, bitIndex0)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15644,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB113)) | (~v130(constB113, bitIndex0)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15645,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB113)) | (~v130(constB113, bitIndex0))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15644, 15643])).
% 41.92/27.56 tff(15646,plain,
% 41.92/27.56 (~v122(constB113)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15645, 2327, 15642])).
% 41.92/27.56 tff(15647,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB113)) | (~v130(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB113)) | (~v130(constB113, bitIndex0)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15648,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB113)) | (~v130(constB113, bitIndex0)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15649,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB113)) | (~v130(constB113, bitIndex0))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15648, 15647])).
% 41.92/27.56 tff(15650,plain,
% 41.92/27.56 (~v120(constB113)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15649, 1826, 15642])).
% 41.92/27.56 tff(15651,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v123(constB113)) | v90(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v123(constB113)) | v90(constB113, bitIndex2))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15652,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v123(constB113)) | v90(constB113, bitIndex2))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15653,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v123(constB113)) | v90(constB113, bitIndex2)),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15652, 15651])).
% 41.92/27.56 tff(15654,plain,
% 41.92/27.56 (~v123(constB113)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15653, 7562, 15583])).
% 41.92/27.56 tff(15655,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB113)) | (~v130(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB113)) | (~v130(constB113, bitIndex0)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15656,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB113)) | (~v130(constB113, bitIndex0)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15657,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB113)) | (~v130(constB113, bitIndex0))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15656, 15655])).
% 41.92/27.56 tff(15658,plain,
% 41.92/27.56 (~v119(constB113)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15657, 893, 15642])).
% 41.92/27.56 tff(15659,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB113) | v120(constB113) | v121(constB113) | v122(constB113) | v123(constB113) | v124(constB113) | (~v130(constB113, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB113) | v120(constB113) | v121(constB113) | v122(constB113) | v123(constB113) | v124(constB113) | (~v130(constB113, bitIndex1)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15660,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB113) | v120(constB113) | v121(constB113) | v122(constB113) | v123(constB113) | v124(constB113) | (~v130(constB113, bitIndex1)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15661,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB113) | v120(constB113) | v121(constB113) | v122(constB113) | v123(constB113) | v124(constB113) | (~v130(constB113, bitIndex1))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15660, 15659])).
% 41.92/27.56 tff(15662,plain,
% 41.92/27.56 (v121(constB113)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15661, 1494, 15658, 15654, 15650, 15646, 15641, 15620])).
% 41.92/27.56 tff(15663,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15664,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15665,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15664, 15663])).
% 41.92/27.56 tff(15666,plain,
% 41.92/27.56 ($false),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15665, 1990, 15662, 15616])).
% 41.92/27.56 tff(15667,plain,(v90(constB113, bitIndex2) | (~v90(constB114, bitIndex2)) | (~v90(constB114, bitIndex1)) | (~v90(constB114, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 41.92/27.56 tff(15668,plain,
% 41.92/27.56 (v90(constB113, bitIndex2)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15667, 15581, 15564, 15547])).
% 41.92/27.56 tff(15669,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15670,plain,
% 41.92/27.56 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15671,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))))),
% 41.92/27.56 inference(monotonicity,[status(thm)],[15670])).
% 41.92/27.56 tff(15672,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 41.92/27.56 inference(transitivity,[status(thm)],[15671, 15669])).
% 41.92/27.56 tff(15673,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15674,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15673, 15672])).
% 41.92/27.56 tff(15675,plain,
% 41.92/27.56 (v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15674, 423, 13801])).
% 41.92/27.56 tff(15676,plain,
% 41.92/27.56 (v90(constB112, bitIndex2) | (~v90(constB113, bitIndex2))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15675, 13813])).
% 41.92/27.56 tff(15677,plain,
% 41.92/27.56 (v90(constB112, bitIndex2)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15676, 15668])).
% 41.92/27.56 tff(15678,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15679,plain,
% 41.92/27.56 (((~nextState(constB111, constB112)) | v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2))) <=> (v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15680,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2))))),
% 41.92/27.56 inference(monotonicity,[status(thm)],[15679])).
% 41.92/27.56 tff(15681,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2)))),
% 41.92/27.56 inference(transitivity,[status(thm)],[15680, 15678])).
% 41.92/27.56 tff(15682,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15683,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB111, bitIndex2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex2))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15682, 15681])).
% 41.92/27.56 tff(15684,plain,
% 41.92/27.56 (v90(constB111, bitIndex2) | v100(constB112) | (~v90(constB112, bitIndex2))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15683, 423, 13733])).
% 41.92/27.56 tff(15685,plain,
% 41.92/27.56 (v100(constB112) | (~v90(constB112, bitIndex2))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15684, 13627])).
% 41.92/27.56 tff(15686,plain,
% 41.92/27.56 (v100(constB112)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15685, 15677])).
% 41.92/27.56 tff(15687,plain,
% 41.92/27.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15688,plain,
% 41.92/27.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15689,plain,
% 41.92/27.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15688, 15687])).
% 41.92/27.56 tff(15690,plain,
% 41.92/27.56 (v129(constB112, bitIndex2)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15689, 1452, 15686, 15677])).
% 41.92/27.56 tff(15691,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15692,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15693,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15692, 15691])).
% 41.92/27.56 tff(15694,plain,
% 41.92/27.56 (v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15693, 1437, 13733])).
% 41.92/27.56 tff(15695,plain,
% 41.92/27.56 (v127(constB111, bitIndex2)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15694, 15690])).
% 41.92/27.56 tff(15696,plain,
% 41.92/27.56 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB111)) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB111)) | (~v127(constB111, bitIndex2)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15697,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB111)) | (~v127(constB111, bitIndex2)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15698,plain,
% 41.92/27.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB111)) | (~v127(constB111, bitIndex2))),
% 41.92/27.56 inference(modus_ponens,[status(thm)],[15697, 15696])).
% 41.92/27.56 tff(15699,plain,
% 41.92/27.56 (~v26(constB111)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15698, 9124, 15695])).
% 41.92/27.56 tff(15700,plain,
% 41.92/27.56 (~v127(constB111, bitIndex0)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[13867, 15699])).
% 41.92/27.56 tff(15701,plain,
% 41.92/27.56 (~v129(constB112, bitIndex0)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[13872, 15700])).
% 41.92/27.56 tff(15702,plain,
% 41.92/27.56 ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[13879, 952, 15686])).
% 41.92/27.56 tff(15703,plain,
% 41.92/27.56 (~v90(constB112, bitIndex0)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15702, 15701])).
% 41.92/27.56 tff(15704,plain,
% 41.92/27.56 (~v90(constB113, bitIndex0)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[13889, 15703])).
% 41.92/27.56 tff(15705,plain,
% 41.92/27.56 (~v127(constB111, bitIndex1)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[13833, 15699])).
% 41.92/27.56 tff(15706,plain,
% 41.92/27.56 (~v129(constB112, bitIndex1)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[13838, 15705])).
% 41.92/27.56 tff(15707,plain,
% 41.92/27.56 ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[13845, 868, 15686])).
% 41.92/27.56 tff(15708,plain,
% 41.92/27.56 (~v90(constB112, bitIndex1)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15707, 15706])).
% 41.92/27.56 tff(15709,plain,
% 41.92/27.56 (~v90(constB113, bitIndex1)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[13855, 15708])).
% 41.92/27.56 tff(15710,plain,
% 41.92/27.56 (v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | v123(constB113)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[13893, 979, 15668])).
% 41.92/27.56 tff(15711,plain,
% 41.92/27.56 (v123(constB113)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[15710, 15709, 15704])).
% 41.92/27.56 tff(15712,plain,
% 41.92/27.56 (~v130(constB113, bitIndex0)),
% 41.92/27.56 inference(unit_resolution,[status(thm)],[14062, 1208, 15711])).
% 41.92/27.56 tff(15713,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15714,plain,
% 41.92/27.56 (((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0))) <=> (v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 41.92/27.56 inference(rewrite,[status(thm)],[])).
% 41.92/27.56 tff(15715,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0))))),
% 41.92/27.56 inference(monotonicity,[status(thm)],[15714])).
% 41.92/27.56 tff(15716,plain,
% 41.92/27.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 41.92/27.56 inference(transitivity,[status(thm)],[15715, 15713])).
% 41.92/27.56 tff(15717,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 41.92/27.56 inference(quant_inst,[status(thm)],[])).
% 41.92/27.56 tff(15718,plain,
% 41.92/27.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 41.92/27.57 tff(15719,plain,
% 41.92/27.57 (v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15718, 465, 13906])).
% 41.92/27.57 tff(15720,plain,
% 41.92/27.57 (v100(constB114)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15719, 15704, 15547])).
% 41.92/27.57 tff(15721,plain,
% 41.92/27.57 (v129(constB114, bitIndex0) | (~v100(constB114))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14082, 952, 15547])).
% 41.92/27.57 tff(15722,plain,
% 41.92/27.57 (v129(constB114, bitIndex0)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15721, 15720])).
% 41.92/27.57 tff(15723,plain,
% 41.92/27.57 (v127(constB113, bitIndex0)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14075, 15722])).
% 41.92/27.57 tff(15724,plain,
% 41.92/27.57 (~v26(constB113)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15598, 922, 15723])).
% 41.92/27.57 tff(15725,plain,
% 41.92/27.57 ($false),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14069, 907, 15723, 15724, 15712])).
% 41.92/27.57 tff(15726,plain,(v100(constB118) | (~v90(constB118, bitIndex1)) | (~v90(constB118, bitIndex2)) | (~v90(constB118, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 41.92/27.57 tff(15727,plain,
% 41.92/27.57 (v100(constB118)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15726, 15439, 15421, 15411])).
% 41.92/27.57 tff(15728,plain,
% 41.92/27.57 (v129(constB118, bitIndex2) | (~v100(constB118))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14420, 1452, 15421])).
% 41.92/27.57 tff(15729,plain,
% 41.92/27.57 (v129(constB118, bitIndex2)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15728, 15727])).
% 41.92/27.57 tff(15730,plain,
% 41.92/27.57 (v127(constB117, bitIndex2)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14416, 15729])).
% 41.92/27.57 tff(15731,plain,
% 41.92/27.57 (v130(constB117, bitIndex2)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14411, 15730])).
% 41.92/27.57 tff(15732,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB117)) | (~v130(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB117)) | (~v130(constB117, bitIndex2)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15733,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB117)) | (~v130(constB117, bitIndex2)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15734,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB117)) | (~v130(constB117, bitIndex2))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15733, 15732])).
% 41.92/27.57 tff(15735,plain,
% 41.92/27.57 (~v124(constB117)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15734, 3868, 15731])).
% 41.92/27.57 tff(15736,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB117)) | (~v130(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB117)) | (~v130(constB117, bitIndex2)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15737,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB117)) | (~v130(constB117, bitIndex2)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15738,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB117)) | (~v130(constB117, bitIndex2))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 41.92/27.57 tff(15739,plain,
% 41.92/27.57 (~v121(constB117)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15738, 1990, 15731])).
% 41.92/27.57 tff(15740,plain,
% 41.92/27.57 (v129(constB118, bitIndex0) | (~v100(constB118))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14483, 952, 15411])).
% 41.92/27.57 tff(15741,plain,
% 41.92/27.57 (v129(constB118, bitIndex0)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15740, 15727])).
% 41.92/27.57 tff(15742,plain,
% 41.92/27.57 (v127(constB117, bitIndex0)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14476, 15741])).
% 41.92/27.57 tff(15743,plain,
% 41.92/27.57 (v130(constB117, bitIndex0)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14471, 15742])).
% 41.92/27.57 tff(15744,plain,
% 41.92/27.57 (~v120(constB117)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[14463, 1826, 15743])).
% 41.92/27.57 tff(15745,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB117)) | (~v130(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB117)) | (~v130(constB117, bitIndex0)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15746,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB117)) | (~v130(constB117, bitIndex0)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15747,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB117)) | (~v130(constB117, bitIndex0))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15746, 15745])).
% 41.92/27.57 tff(15748,plain,
% 41.92/27.57 (~v122(constB117)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15747, 2327, 15743])).
% 41.92/27.57 tff(15749,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB117)) | (~v130(constB117, bitIndex0)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15750,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex0)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15751,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB117)) | (~v130(constB117, bitIndex0))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15750, 15749])).
% 41.92/27.57 tff(15752,plain,
% 41.92/27.57 (~v123(constB117)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15751, 1208, 15743])).
% 41.92/27.57 tff(15753,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB117)) | (~v130(constB117, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB117)) | (~v130(constB117, bitIndex0)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15754,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB117)) | (~v130(constB117, bitIndex0)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15755,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB117)) | (~v130(constB117, bitIndex0))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15754, 15753])).
% 41.92/27.57 tff(15756,plain,
% 41.92/27.57 (~v119(constB117)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15755, 893, 15743])).
% 41.92/27.57 tff(15757,plain,
% 41.92/27.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15758,plain,
% 41.92/27.57 (((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15759,plain,
% 41.92/27.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))))),
% 41.92/27.57 inference(monotonicity,[status(thm)],[15758])).
% 41.92/27.57 tff(15760,plain,
% 41.92/27.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 41.92/27.57 inference(transitivity,[status(thm)],[15759, 15757])).
% 41.92/27.57 tff(15761,plain,
% 41.92/27.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15762,plain,
% 41.92/27.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15761, 15760])).
% 41.92/27.57 tff(15763,plain,
% 41.92/27.57 (v129(constB118, bitIndex1) | (~v100(constB118))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15762, 868, 15439])).
% 41.92/27.57 tff(15764,plain,
% 41.92/27.57 (v129(constB118, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15763, 15727])).
% 41.92/27.57 tff(15765,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15766,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15767,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15766, 15765])).
% 41.92/27.57 tff(15768,plain,
% 41.92/27.57 (v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15767, 853, 14360])).
% 41.92/27.57 tff(15769,plain,
% 41.92/27.57 (v127(constB117, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15768, 15764])).
% 41.92/27.57 tff(15770,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15771,plain,
% 41.92/27.57 ((v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1))) <=> ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15772,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)))),
% 41.92/27.57 inference(monotonicity,[status(thm)],[15771])).
% 41.92/27.57 tff(15773,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 41.92/27.57 inference(transitivity,[status(thm)],[15772, 15770])).
% 41.92/27.57 tff(15774,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15775,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15774, 15773])).
% 41.92/27.57 tff(15776,plain,
% 41.92/27.57 ((~v127(constB117, bitIndex1)) | v130(constB117, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15775, 823, 14342])).
% 41.92/27.57 tff(15777,plain,
% 41.92/27.57 (v130(constB117, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15776, 15769])).
% 41.92/27.57 tff(15778,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB117) | v120(constB117) | v121(constB117) | v122(constB117) | v123(constB117) | v124(constB117) | (~v130(constB117, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB117) | v120(constB117) | v121(constB117) | v122(constB117) | v123(constB117) | v124(constB117) | (~v130(constB117, bitIndex1)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15779,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB117) | v120(constB117) | v121(constB117) | v122(constB117) | v123(constB117) | v124(constB117) | (~v130(constB117, bitIndex1)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15780,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB117) | v120(constB117) | v121(constB117) | v122(constB117) | v123(constB117) | v124(constB117) | (~v130(constB117, bitIndex1))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15779, 15778])).
% 41.92/27.57 tff(15781,plain,
% 41.92/27.57 ($false),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15780, 1494, 15777, 15756, 15752, 15748, 15744, 15739, 15735])).
% 41.92/27.57 tff(15782,plain,(v100(constB120) | (~v90(constB120, bitIndex1)) | (~v90(constB120, bitIndex2)) | (~v90(constB120, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 41.92/27.57 tff(15783,plain,
% 41.92/27.57 (~v90(constB120, bitIndex2)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15782, 15401, 15205, 15393])).
% 41.92/27.57 tff(15784,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15785,plain,
% 41.92/27.57 (((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2)) <=> ((~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15786,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2)))),
% 41.92/27.57 inference(monotonicity,[status(thm)],[15785])).
% 41.92/27.57 tff(15787,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2))),
% 41.92/27.57 inference(transitivity,[status(thm)],[15786, 15784])).
% 41.92/27.57 tff(15788,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15789,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2)),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15788, 15787])).
% 41.92/27.57 tff(15790,plain,
% 41.92/27.57 ((~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15789, 783, 14631])).
% 41.92/27.57 tff(15791,plain,
% 41.92/27.57 ($false),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15790, 15783, 15385, 15205])).
% 41.92/27.57 tff(15792,plain,(v100(constB120)), inference(lemma,lemma(discharge,[]))).
% 41.92/27.57 tff(15793,plain,
% 41.92/27.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15794,plain,
% 41.92/27.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15795,plain,
% 41.92/27.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15794, 15793])).
% 41.92/27.57 tff(15796,plain,
% 41.92/27.57 ((~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15795, 1452, 15792])).
% 41.92/27.57 tff(15797,plain,
% 41.92/27.57 (~v90(constB120, bitIndex2)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15796, 15204])).
% 41.92/27.57 tff(15798,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15799,plain,
% 41.92/27.57 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15800,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 41.92/27.57 inference(monotonicity,[status(thm)],[15799])).
% 41.92/27.57 tff(15801,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 41.92/27.57 inference(transitivity,[status(thm)],[15800, 15798])).
% 41.92/27.57 tff(15802,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15803,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15802, 15801])).
% 41.92/27.57 tff(15804,plain,
% 41.92/27.57 (~v101(constB121)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15803, 391, 14731, 14728])).
% 41.92/27.57 tff(15805,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15806,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15807,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15806, 15805])).
% 41.92/27.57 tff(15808,plain,
% 41.92/27.57 (v101(constB121) | (~v100(constB121))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15807, 408, 14731])).
% 41.92/27.57 tff(15809,plain,
% 41.92/27.57 (~v100(constB121)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15808, 15804])).
% 41.92/27.57 tff(15810,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15811,plain,
% 41.92/27.57 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15812,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2))))),
% 41.92/27.57 inference(monotonicity,[status(thm)],[15811])).
% 41.92/27.57 tff(15813,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 41.92/27.57 inference(transitivity,[status(thm)],[15812, 15810])).
% 41.92/27.57 tff(15814,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15815,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15814, 15813])).
% 41.92/27.57 tff(15816,plain,
% 41.92/27.57 (v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15815, 423, 14731])).
% 41.92/27.57 tff(15817,plain,
% 41.92/27.57 (v90(constB120, bitIndex2) | (~v90(constB121, bitIndex2))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15816, 15809])).
% 41.92/27.57 tff(15818,plain,
% 41.92/27.57 (~v90(constB121, bitIndex2)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15817, 15797])).
% 41.92/27.57 tff(15819,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB121, bitIndex2)) | v90(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB121, bitIndex2)) | v90(constB121, bitIndex2))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15820,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB121, bitIndex2)) | v90(constB121, bitIndex2))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15821,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB121, bitIndex2)) | v90(constB121, bitIndex2)),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15820, 15819])).
% 41.92/27.57 tff(15822,plain,
% 41.92/27.57 (~v88(constB121, bitIndex2)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15821, 14456, 15818])).
% 41.92/27.57 tff(15823,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB119)) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB119)) | v130(constB119, bitIndex1))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15824,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB119)) | v130(constB119, bitIndex1))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15825,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB119)) | v130(constB119, bitIndex1)),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15824, 15823])).
% 41.92/27.57 tff(15826,plain,
% 41.92/27.57 (v130(constB119, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15825, 2050, 15183])).
% 41.92/27.57 tff(15827,plain,
% 41.92/27.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15828,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15829,plain,
% 41.92/27.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15828, 15827])).
% 41.92/27.57 tff(15830,plain,
% 41.92/27.57 ((~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15829, 1144, 15191])).
% 41.92/27.57 tff(15831,plain,
% 41.92/27.57 (v127(constB119, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15830, 15826])).
% 41.92/27.57 tff(15832,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15833,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15834,plain,
% 41.92/27.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15833, 15832])).
% 41.92/27.57 tff(15835,plain,
% 41.92/27.57 ((~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15834, 1159, 14631])).
% 41.92/27.57 tff(15836,plain,
% 41.92/27.57 (v129(constB120, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15835, 15831])).
% 41.92/27.57 tff(15837,plain,
% 41.92/27.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15838,plain,
% 41.92/27.57 ((v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 41.92/27.57 inference(rewrite,[status(thm)],[])).
% 41.92/27.57 tff(15839,plain,
% 41.92/27.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))))),
% 41.92/27.57 inference(monotonicity,[status(thm)],[15838])).
% 41.92/27.57 tff(15840,plain,
% 41.92/27.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 41.92/27.57 inference(transitivity,[status(thm)],[15839, 15837])).
% 41.92/27.57 tff(15841,plain,
% 41.92/27.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))),
% 41.92/27.57 inference(quant_inst,[status(thm)],[])).
% 41.92/27.57 tff(15842,plain,
% 41.92/27.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 41.92/27.57 inference(modus_ponens,[status(thm)],[15841, 15840])).
% 41.92/27.57 tff(15843,plain,
% 41.92/27.57 (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1))),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15842, 1174, 15792])).
% 41.92/27.57 tff(15844,plain,
% 41.92/27.57 (v90(constB120, bitIndex1)),
% 41.92/27.57 inference(unit_resolution,[status(thm)],[15843, 15836])).
% 41.92/27.57 tff(15845,plain,
% 41.92/27.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15846,plain,
% 41.92/27.58 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15847,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15846])).
% 41.92/27.58 tff(15848,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15847, 15845])).
% 41.92/27.58 tff(15849,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15850,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15849, 15848])).
% 41.92/27.58 tff(15851,plain,
% 41.92/27.58 ((~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15850, 1192, 14731])).
% 41.92/27.58 tff(15852,plain,
% 41.92/27.58 ((~v90(constB120, bitIndex1)) | v90(constB121, bitIndex1)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15851, 15809])).
% 41.92/27.58 tff(15853,plain,
% 41.92/27.58 (v90(constB121, bitIndex1)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15852, 15844])).
% 41.92/27.58 tff(15854,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15855,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15856,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 41.92/27.58 tff(15857,plain,
% 41.92/27.58 (v88(constB121, bitIndex1)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15856, 14543, 15853])).
% 41.92/27.58 tff(15858,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB119)) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB119)) | v130(constB119, bitIndex0))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15859,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB119)) | v130(constB119, bitIndex0))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15860,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB119)) | v130(constB119, bitIndex0)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15859, 15858])).
% 41.92/27.58 tff(15861,plain,
% 41.92/27.58 (v130(constB119, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15860, 2088, 15183])).
% 41.92/27.58 tff(15862,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15863,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15864,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15863, 15862])).
% 41.92/27.58 tff(15865,plain,
% 41.92/27.58 ((~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15864, 1552, 15191])).
% 41.92/27.58 tff(15866,plain,
% 41.92/27.58 (v127(constB119, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15865, 15861])).
% 41.92/27.58 tff(15867,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15868,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15869,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 41.92/27.58 tff(15870,plain,
% 41.92/27.58 ((~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15869, 1567, 14631])).
% 41.92/27.58 tff(15871,plain,
% 41.92/27.58 (v129(constB120, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15870, 15866])).
% 41.92/27.58 tff(15872,plain,
% 41.92/27.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15873,plain,
% 41.92/27.58 ((v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15874,plain,
% 41.92/27.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120))))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15873])).
% 41.92/27.58 tff(15875,plain,
% 41.92/27.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15874, 15872])).
% 41.92/27.58 tff(15876,plain,
% 41.92/27.58 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15877,plain,
% 41.92/27.58 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15876, 15875])).
% 41.92/27.58 tff(15878,plain,
% 41.92/27.58 (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0))),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15877, 1582, 15792])).
% 41.92/27.58 tff(15879,plain,
% 41.92/27.58 (v90(constB120, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15878, 15871])).
% 41.92/27.58 tff(15880,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15881,plain,
% 41.92/27.58 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15882,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0)))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15881])).
% 41.92/27.58 tff(15883,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15882, 15880])).
% 41.92/27.58 tff(15884,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15885,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15884, 15883])).
% 41.92/27.58 tff(15886,plain,
% 41.92/27.58 ((~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15885, 1600, 14731])).
% 41.92/27.58 tff(15887,plain,
% 41.92/27.58 ((~v90(constB120, bitIndex0)) | v90(constB121, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15886, 15809])).
% 41.92/27.58 tff(15888,plain,
% 41.92/27.58 (v90(constB121, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15887, 15879])).
% 41.92/27.58 tff(15889,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB121, bitIndex0)) | v88(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB121, bitIndex0)) | v88(constB121, bitIndex0))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15890,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB121, bitIndex0)) | v88(constB121, bitIndex0))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15891,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB121, bitIndex0)) | v88(constB121, bitIndex0)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15890, 15889])).
% 41.92/27.58 tff(15892,plain,
% 41.92/27.58 (v88(constB121, bitIndex0)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15891, 14846, 15888])).
% 41.92/27.58 tff(15893,plain,
% 41.92/27.58 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)))),
% 41.92/27.58 inference(bind,[status(th)],[])).
% 41.92/27.58 tff(15894,plain,
% 41.92/27.58 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 41.92/27.58 inference(quant_intro,[status(thm)],[15893])).
% 41.92/27.58 tff(15895,plain,
% 41.92/27.58 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15896,plain,
% 41.92/27.58 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))), (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))), (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))), ((((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))) | v141(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))))),
% 41.92/27.58 inference(bind,[status(th)],[])).
% 41.92/27.58 tff(15897,plain,
% 41.92/27.58 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 41.92/27.58 inference(quant_intro,[status(thm)],[15896])).
% 41.92/27.58 tff(15898,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 41.92/27.58 tff(15899,plain,
% 41.92/27.58 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15898, 15897])).
% 41.92/27.58 tff(15900,plain,
% 41.92/27.58 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15899, 15895])).
% 41.92/27.58 tff(15901,plain,(
% 41.92/27.58 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 41.92/27.58 inference(skolemize,[status(sab)],[15900])).
% 41.92/27.58 tff(15902,plain,
% 41.92/27.58 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15901, 15894])).
% 41.92/27.58 tff(15903,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB121, bitIndex0)) | v88(constB121, bitIndex2) | v141(constB121) | (~v88(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB121, bitIndex0)) | v88(constB121, bitIndex2) | v141(constB121) | (~v88(constB121, bitIndex1)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15904,plain,
% 41.92/27.58 ((v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0)) | v141(constB121)) <=> ((~v88(constB121, bitIndex0)) | v88(constB121, bitIndex2) | v141(constB121) | (~v88(constB121, bitIndex1)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15905,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0)) | v141(constB121))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB121, bitIndex0)) | v88(constB121, bitIndex2) | v141(constB121) | (~v88(constB121, bitIndex1))))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15904])).
% 41.92/27.58 tff(15906,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0)) | v141(constB121))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB121, bitIndex0)) | v88(constB121, bitIndex2) | v141(constB121) | (~v88(constB121, bitIndex1)))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15905, 15903])).
% 41.92/27.58 tff(15907,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0)) | v141(constB121))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15908,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB121, bitIndex0)) | v88(constB121, bitIndex2) | v141(constB121) | (~v88(constB121, bitIndex1))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15907, 15906])).
% 41.92/27.58 tff(15909,plain,
% 41.92/27.58 (v141(constB121)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15908, 15902, 15892, 15857, 15822])).
% 41.92/27.58 tff(15910,plain,
% 41.92/27.58 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v168(VarCurr)) <=> ((~v141(VarCurr)) | v168(VarCurr)))),
% 41.92/27.58 inference(bind,[status(th)],[])).
% 41.92/27.58 tff(15911,plain,
% 41.92/27.58 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 41.92/27.58 inference(quant_intro,[status(thm)],[15910])).
% 41.92/27.58 tff(15912,plain,
% 41.92/27.58 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15913,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_2')).
% 41.92/27.58 tff(15914,plain,
% 41.92/27.58 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15913, 15912])).
% 41.92/27.58 tff(15915,plain,(
% 41.92/27.58 ![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 41.92/27.58 inference(skolemize,[status(sab)],[15914])).
% 41.92/27.58 tff(15916,plain,
% 41.92/27.58 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15915, 15911])).
% 41.92/27.58 tff(15917,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB121)) | v168(constB121))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB121)) | v168(constB121))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15918,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB121)) | v168(constB121))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15919,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB121)) | v168(constB121)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15918, 15917])).
% 41.92/27.58 tff(15920,plain,
% 41.92/27.58 (v168(constB121)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15919, 15916, 15909])).
% 41.92/27.58 tff(15921,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB121)) | v167(constB121))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB121)) | v167(constB121))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15922,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB121)) | v167(constB121))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15923,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB121)) | v167(constB121)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15922, 15921])).
% 41.92/27.58 tff(15924,plain,
% 41.92/27.58 (v167(constB121)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15923, 14899, 15920])).
% 41.92/27.58 tff(15925,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB121)) | (~v170(constB121)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB121)) | (~v170(constB121)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15926,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB121)) | (~v170(constB121)))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15927,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB121)) | (~v170(constB121))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15926, 15925])).
% 41.92/27.58 tff(15928,plain,
% 41.92/27.58 (~v170(constB121)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15927, 14593, 15924])).
% 41.92/27.58 tff(15929,plain,
% 41.92/27.58 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB121) | (~v167(constB121)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB121) | (~v167(constB121)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15930,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB121) | (~v167(constB121)))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15931,plain,
% 41.92/27.58 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB121) | (~v167(constB121))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15930, 15929])).
% 41.92/27.58 tff(15932,plain,
% 41.92/27.58 (v166(constB121)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15931, 14607, 15924])).
% 41.92/27.58 tff(15933,plain,
% 41.92/27.58 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB121)) | (~v166(constB121)) | v170(constB121))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB121)) | (~v166(constB121)) | v170(constB121))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15934,plain,
% 41.92/27.58 (((~v166(constB121)) | v170(constB121) | (~v163(constB121))) <=> ((~v163(constB121)) | (~v166(constB121)) | v170(constB121))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15935,plain,
% 41.92/27.58 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB121)) | v170(constB121) | (~v163(constB121)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB121)) | (~v166(constB121)) | v170(constB121)))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15934])).
% 41.92/27.58 tff(15936,plain,
% 41.92/27.58 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB121)) | v170(constB121) | (~v163(constB121)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB121)) | (~v166(constB121)) | v170(constB121))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15935, 15933])).
% 41.92/27.58 tff(15937,plain,
% 41.92/27.58 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB121)) | v170(constB121) | (~v163(constB121)))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15938,plain,
% 41.92/27.58 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB121)) | (~v166(constB121)) | v170(constB121)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15937, 15936])).
% 41.92/27.58 tff(15939,plain,
% 41.92/27.58 (~v163(constB121)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15938, 14621, 15932, 15928])).
% 41.92/27.58 tff(15940,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15941,plain,
% 41.92/27.58 (((~nextState(constB121, constB122)) | v163(constB121) | (~v186(constB122))) <=> (v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15942,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB121, constB122)) | v163(constB121) | (~v186(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122))))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15941])).
% 41.92/27.58 tff(15943,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB121, constB122)) | v163(constB121) | (~v186(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122)))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15942, 15940])).
% 41.92/27.58 tff(15944,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB121, constB122)) | v163(constB121) | (~v186(constB122)))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15945,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15944, 15943])).
% 41.92/27.58 tff(15946,plain,
% 41.92/27.58 (v163(constB121) | (~v186(constB122))),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15945, 14641, 15138])).
% 41.92/27.58 tff(15947,plain,
% 41.92/27.58 (~v186(constB122)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15946, 15939])).
% 41.92/27.58 tff(15948,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15949,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15950,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15949, 15948])).
% 41.92/27.58 tff(15951,plain,
% 41.92/27.58 (~v104(constB122)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15950, 659, 15138, 14728])).
% 41.92/27.58 tff(15952,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v181(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB121, constB122)) | v181(constB122) | v104(constB122))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15953,plain,
% 41.92/27.58 (((~nextState(constB121, constB122)) | v104(constB122) | v181(constB122)) <=> ((~nextState(constB121, constB122)) | v181(constB122) | v104(constB122))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15954,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v181(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v181(constB122) | v104(constB122)))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15953])).
% 41.92/27.58 tff(15955,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v181(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB121, constB122)) | v181(constB122) | v104(constB122))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15954, 15952])).
% 41.92/27.58 tff(15956,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v181(constB122))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15957,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB121, constB122)) | v181(constB122) | v104(constB122)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15956, 15955])).
% 41.92/27.58 tff(15958,plain,
% 41.92/27.58 (v181(constB122) | v104(constB122)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15957, 14663, 15138])).
% 41.92/27.58 tff(15959,plain,
% 41.92/27.58 (v181(constB122)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15958, 15951])).
% 41.92/27.58 tff(15960,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15961,plain,
% 41.92/27.58 (((~nextState(constB121, constB122)) | (~v1(constB122)) | v180(constB122) | (~v181(constB122))) <=> ((~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15962,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v180(constB122) | (~v181(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122))))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15961])).
% 41.92/27.58 tff(15963,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v180(constB122) | (~v181(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122)))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15962, 15960])).
% 41.92/27.58 tff(15964,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v180(constB122) | (~v181(constB122)))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15965,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15964, 15963])).
% 41.92/27.58 tff(15966,plain,
% 41.92/27.58 (v180(constB122) | (~v181(constB122))),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15965, 14684, 15138, 15150])).
% 41.92/27.58 tff(15967,plain,
% 41.92/27.58 (v180(constB122)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15966, 15959])).
% 41.92/27.58 tff(15968,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15969,plain,
% 41.92/27.58 (((~nextState(constB121, constB122)) | (~v180(constB122)) | v179(constB122)) <=> ((~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15970,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | (~v180(constB122)) | v179(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122))))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15969])).
% 41.92/27.58 tff(15971,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | (~v180(constB122)) | v179(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122)))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15970, 15968])).
% 41.92/27.58 tff(15972,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | (~v180(constB122)) | v179(constB122))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15973,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15972, 15971])).
% 41.92/27.58 tff(15974,plain,
% 41.92/27.58 (v179(constB122) | (~v180(constB122))),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15973, 14702, 15138])).
% 41.92/27.58 tff(15975,plain,
% 41.92/27.58 (v179(constB122)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15974, 15967])).
% 41.92/27.58 tff(15976,plain,
% 41.92/27.58 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB122) | (~v159(constB122)) | (~v179(constB122)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB122) | (~v159(constB122)) | (~v179(constB122)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15977,plain,
% 41.92/27.58 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB122) | (~v159(constB122)) | (~v179(constB122)))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15978,plain,
% 41.92/27.58 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB122) | (~v159(constB122)) | (~v179(constB122))),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 41.92/27.58 tff(15979,plain,
% 41.92/27.58 (v186(constB122) | (~v159(constB122))),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15978, 14720, 15975])).
% 41.92/27.58 tff(15980,plain,
% 41.92/27.58 (~v159(constB122)),
% 41.92/27.58 inference(unit_resolution,[status(thm)],[15979, 15947])).
% 41.92/27.58 tff(15981,plain,
% 41.92/27.58 ((~v1(constB123)) <=> (~v1(constB123))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15982,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 41.92/27.58 tff(15983,plain,
% 41.92/27.58 (~v1(constB123)),
% 41.92/27.58 inference(modus_ponens,[status(thm)],[15982, 15981])).
% 41.92/27.58 tff(15984,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15985,plain,
% 41.92/27.58 (((~nextState(constB122, constB123)) | v1(constB123) | (~v180(constB123))) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123)))),
% 41.92/27.58 inference(rewrite,[status(thm)],[])).
% 41.92/27.58 tff(15986,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v1(constB123) | (~v180(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123))))),
% 41.92/27.58 inference(monotonicity,[status(thm)],[15985])).
% 41.92/27.58 tff(15987,plain,
% 41.92/27.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v1(constB123) | (~v180(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123)))),
% 41.92/27.58 inference(transitivity,[status(thm)],[15986, 15984])).
% 41.92/27.58 tff(15988,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v1(constB123) | (~v180(constB123)))),
% 41.92/27.58 inference(quant_inst,[status(thm)],[])).
% 41.92/27.58 tff(15989,plain,
% 41.92/27.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[15988, 15987])).
% 41.92/27.59 tff(15990,plain,
% 41.92/27.59 (~v180(constB123)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[15989, 14741, 15170, 15983])).
% 41.92/27.59 tff(15991,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB122, constB123)) | v180(constB123) | (~v179(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB122, constB123)) | v180(constB123) | (~v179(constB123)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(15992,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB122, constB123)) | v180(constB123) | (~v179(constB123)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(15993,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB122, constB123)) | v180(constB123) | (~v179(constB123))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[15992, 15991])).
% 41.92/27.59 tff(15994,plain,
% 41.92/27.59 (v180(constB123) | (~v179(constB123))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[15993, 14758, 15170])).
% 41.92/27.59 tff(15995,plain,
% 41.92/27.59 (~v179(constB123)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[15994, 15990])).
% 41.92/27.59 tff(15996,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(15997,plain,
% 41.92/27.59 (((~nextState(constB122, constB123)) | v179(constB123) | v159(constB122) | (~v159(constB123))) <=> (v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(15998,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB122, constB123)) | v179(constB123) | v159(constB122) | (~v159(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[15997])).
% 41.92/27.59 tff(15999,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB122, constB123)) | v179(constB123) | v159(constB122) | (~v159(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[15998, 15996])).
% 41.92/27.59 tff(16000,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB122, constB123)) | v179(constB123) | v159(constB122) | (~v159(constB123)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16001,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16000, 15999])).
% 41.92/27.59 tff(16002,plain,
% 41.92/27.59 (v159(constB122) | v179(constB123) | (~v159(constB123))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16001, 14773, 15170])).
% 41.92/27.59 tff(16003,plain,
% 41.92/27.59 (v159(constB122) | (~v159(constB123))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16002, 15995])).
% 41.92/27.59 tff(16004,plain,
% 41.92/27.59 (~v159(constB123)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16003, 15980])).
% 41.92/27.59 tff(16005,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB123) | (~v201(constB123)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB123) | (~v201(constB123)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16006,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB123) | (~v201(constB123)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16007,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB123) | (~v201(constB123))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16006, 16005])).
% 41.92/27.59 tff(16008,plain,
% 41.92/27.59 (~v201(constB123)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16007, 14792, 16004])).
% 41.92/27.59 tff(16009,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB123) | (~v200(constB123)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB123) | (~v200(constB123)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16010,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB123) | (~v200(constB123)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16011,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB123) | (~v200(constB123))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16010, 16009])).
% 41.92/27.59 tff(16012,plain,
% 41.92/27.59 (~v200(constB123)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16011, 14806, 16008])).
% 41.92/27.59 tff(16013,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB123) | (~v198(constB123)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB123) | (~v198(constB123)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16014,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB123) | (~v198(constB123)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16015,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB123) | (~v198(constB123))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16014, 16013])).
% 41.92/27.59 tff(16016,plain,
% 41.92/27.59 (~v198(constB123)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16015, 14820, 16012])).
% 41.92/27.59 tff(16017,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB123) | v198(constB123) | (~v191(constB123)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB123) | v198(constB123) | (~v191(constB123)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16018,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB123) | v198(constB123) | (~v191(constB123)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16019,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB123) | v198(constB123) | (~v191(constB123))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16018, 16017])).
% 41.92/27.59 tff(16020,plain,
% 41.92/27.59 (~v191(constB123)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16019, 15060, 16016, 15179])).
% 41.92/27.59 tff(16021,plain,
% 41.92/27.59 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16022,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 41.92/27.59 tff(16023,plain,
% 41.92/27.59 (nextState(constB123, constB124)),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16022, 16021])).
% 41.92/27.59 tff(16024,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB123, constB124)) | v191(constB123) | (~v193(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB123, constB124)) | v191(constB123) | (~v193(constB124)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16025,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB123, constB124)) | v191(constB123) | (~v193(constB124)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16026,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB123, constB124)) | v191(constB123) | (~v193(constB124))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16025, 16024])).
% 41.92/27.59 tff(16027,plain,
% 41.92/27.59 (v191(constB123) | (~v193(constB124))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16026, 15075, 16023])).
% 41.92/27.59 tff(16028,plain,
% 41.92/27.59 (~v193(constB124)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16027, 16020])).
% 41.92/27.59 tff(16029,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB124) | (~v194(constB124)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB124) | (~v194(constB124)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16030,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB124) | (~v194(constB124)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16031,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB124) | (~v194(constB124))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16030, 16029])).
% 41.92/27.59 tff(16032,plain,
% 41.92/27.59 (~v194(constB124)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16031, 15090, 16028])).
% 41.92/27.59 tff(16033,plain,
% 41.92/27.59 (v1(constB124) <=> v1(constB124)),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16034,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 41.92/27.59 tff(16035,plain,
% 41.92/27.59 (v1(constB124)),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16034, 16033])).
% 41.92/27.59 tff(16036,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB124)) | (~v197(constB124)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB124)) | (~v197(constB124)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16037,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB124)) | (~v197(constB124)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16038,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB124)) | (~v197(constB124))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16037, 16036])).
% 41.92/27.59 tff(16039,plain,
% 41.92/27.59 (~v197(constB124)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16038, 59, 16035])).
% 41.92/27.59 tff(16040,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB124) | (~v200(constB124)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB124) | (~v200(constB124)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16041,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB124) | (~v200(constB124)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16042,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB124) | (~v200(constB124))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16041, 16040])).
% 41.92/27.59 tff(16043,plain,
% 41.92/27.59 (~v200(constB124)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16042, 15108, 16039])).
% 41.92/27.59 tff(16044,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB124) | (~v198(constB124)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB124) | (~v198(constB124)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16045,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB124) | (~v198(constB124)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16046,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB124) | (~v198(constB124))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16045, 16044])).
% 41.92/27.59 tff(16047,plain,
% 41.92/27.59 (~v198(constB124)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16046, 14820, 16043])).
% 41.92/27.59 tff(16048,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB124) | v198(constB124) | (~v191(constB124)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB124) | v198(constB124) | (~v191(constB124)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16049,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB124) | v198(constB124) | (~v191(constB124)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16050,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB124) | v198(constB124) | (~v191(constB124))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16049, 16048])).
% 41.92/27.59 tff(16051,plain,
% 41.92/27.59 (v194(constB124) | (~v191(constB124))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16050, 15060, 16047])).
% 41.92/27.59 tff(16052,plain,
% 41.92/27.59 (~v191(constB124)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16051, 16032])).
% 41.92/27.59 tff(16053,plain,
% 41.92/27.59 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16054,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 41.92/27.59 tff(16055,plain,
% 41.92/27.59 (nextState(constB124, constB125)),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16054, 16053])).
% 41.92/27.59 tff(16056,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB124, constB125)) | v191(constB124) | (~v193(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB124, constB125)) | v191(constB124) | (~v193(constB125)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16057,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB124, constB125)) | v191(constB124) | (~v193(constB125)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16058,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB124, constB125)) | v191(constB124) | (~v193(constB125))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16057, 16056])).
% 41.92/27.59 tff(16059,plain,
% 41.92/27.59 (v191(constB124) | (~v193(constB125))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16058, 15075, 16055])).
% 41.92/27.59 tff(16060,plain,
% 41.92/27.59 (~v193(constB125)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16059, 16052])).
% 41.92/27.59 tff(16061,plain,
% 41.92/27.59 ($false),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16060, 87])).
% 41.92/27.59 tff(16062,plain,(~(constB125 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 41.92/27.59 tff(16063,assumption,(constB173 = sK0_VarCurr), introduced(assumption)).
% 41.92/27.59 tff(16064,plain,
% 41.92/27.59 (v193(constB173) <=> v193(sK0_VarCurr)),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16063])).
% 41.92/27.59 tff(16065,plain,
% 41.92/27.59 (v193(sK0_VarCurr) <=> v193(constB173)),
% 41.92/27.59 inference(symmetry,[status(thm)],[16064])).
% 41.92/27.59 tff(16066,plain,
% 41.92/27.59 (v193(constB173)),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[86, 16065])).
% 41.92/27.59 tff(16067,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16068,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16069,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121)),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16068, 16067])).
% 41.92/27.59 tff(16070,plain,
% 41.92/27.59 (v122(constB121)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16069, 2129, 15888, 15853, 15818])).
% 41.92/27.59 tff(16071,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB121)) | (~v130(constB121, bitIndex0)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16072,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex0)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16073,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB121)) | (~v130(constB121, bitIndex0))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16072, 16071])).
% 41.92/27.59 tff(16074,plain,
% 41.92/27.59 (~v130(constB121, bitIndex0)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16073, 2327, 16070])).
% 41.92/27.59 tff(16075,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB121)) | (~v130(constB121, bitIndex1)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16076,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex1)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16077,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB121)) | (~v130(constB121, bitIndex1))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16076, 16075])).
% 41.92/27.59 tff(16078,plain,
% 41.92/27.59 (~v130(constB121, bitIndex1)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16077, 2281, 16070])).
% 41.92/27.59 tff(16079,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16080,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16081,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2)),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16080, 16079])).
% 41.92/27.59 tff(16082,plain,
% 41.92/27.59 (v130(constB121, bitIndex2)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16081, 2224, 16070])).
% 41.92/27.59 tff(16083,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB121) | (~v122(constB121)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB121) | (~v122(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16084,plain,
% 41.92/27.59 (((~v122(constB121)) | v116(constB121)) <=> (v116(constB121) | (~v122(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16085,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB121)) | v116(constB121))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB121) | (~v122(constB121))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16084])).
% 41.92/27.59 tff(16086,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB121)) | v116(constB121))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB121) | (~v122(constB121)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16085, 16083])).
% 41.92/27.59 tff(16087,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB121)) | v116(constB121))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16088,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB121) | (~v122(constB121))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16087, 16086])).
% 41.92/27.59 tff(16089,plain,
% 41.92/27.59 (v116(constB121)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16088, 2140, 16070])).
% 41.92/27.59 tff(16090,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB121) | (~v116(constB121)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB121) | (~v116(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16091,plain,
% 41.92/27.59 (((~v116(constB121)) | v115(constB121)) <=> (v115(constB121) | (~v116(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16092,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB121)) | v115(constB121))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB121) | (~v116(constB121))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16091])).
% 41.92/27.59 tff(16093,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB121)) | v115(constB121))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB121) | (~v116(constB121)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16092, 16090])).
% 41.92/27.59 tff(16094,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB121)) | v115(constB121))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16095,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB121) | (~v116(constB121))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16094, 16093])).
% 41.92/27.59 tff(16096,plain,
% 41.92/27.59 (v115(constB121)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16095, 539, 16089])).
% 41.92/27.59 tff(16097,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB121) | (~v115(constB121)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB121) | (~v115(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16098,plain,
% 41.92/27.59 (((~v115(constB121)) | v114(constB121)) <=> (v114(constB121) | (~v115(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16099,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB121)) | v114(constB121))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB121) | (~v115(constB121))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16098])).
% 41.92/27.59 tff(16100,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB121)) | v114(constB121))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB121) | (~v115(constB121)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16099, 16097])).
% 41.92/27.59 tff(16101,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB121)) | v114(constB121))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16102,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB121) | (~v115(constB121))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16101, 16100])).
% 41.92/27.59 tff(16103,plain,
% 41.92/27.59 (v114(constB121)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16102, 553, 16096])).
% 41.92/27.59 tff(16104,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB121) | (~v114(constB121)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB121) | (~v114(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16105,plain,
% 41.92/27.59 (((~v114(constB121)) | v113(constB121)) <=> (v113(constB121) | (~v114(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16106,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB121) | (~v114(constB121))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16105])).
% 41.92/27.59 tff(16107,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB121) | (~v114(constB121)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16106, 16104])).
% 41.92/27.59 tff(16108,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB121)) | v113(constB121))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16109,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB121) | (~v114(constB121))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16108, 16107])).
% 41.92/27.59 tff(16110,plain,
% 41.92/27.59 (v113(constB121)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16109, 567, 16103])).
% 41.92/27.59 tff(16111,assumption,(v26(constB121)), introduced(assumption)).
% 41.92/27.59 tff(16112,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16113,plain,
% 41.92/27.59 ($false),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16112, 95, 16111])).
% 41.92/27.59 tff(16114,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 41.92/27.59 tff(16115,assumption,(~v26(constB121)), introduced(assumption)).
% 41.92/27.59 tff(16116,assumption,(v113(constB121)), introduced(assumption)).
% 41.92/27.59 tff(16117,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16118,plain,
% 41.92/27.59 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16119,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16118])).
% 41.92/27.59 tff(16120,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16119, 16117])).
% 41.92/27.59 tff(16121,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16122,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 41.92/27.59 tff(16123,plain,
% 41.92/27.59 (v26(constB121) | v112(constB121)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16122, 581, 16116])).
% 41.92/27.59 tff(16124,plain,
% 41.92/27.59 (v112(constB121)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16123, 16115])).
% 41.92/27.59 tff(16125,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16126,plain,
% 41.92/27.59 (((~v112(constB121)) | v108(constB121)) <=> (v108(constB121) | (~v112(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16127,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16126])).
% 41.92/27.59 tff(16128,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16127, 16125])).
% 41.92/27.59 tff(16129,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16130,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16129, 16128])).
% 41.92/27.59 tff(16131,plain,
% 41.92/27.59 (v108(constB121)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16130, 746, 16124])).
% 41.92/27.59 tff(16132,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16133,plain,
% 41.92/27.59 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16134,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16133])).
% 41.92/27.59 tff(16135,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16134, 16132])).
% 41.92/27.59 tff(16136,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16137,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16136, 16135])).
% 41.92/27.59 tff(16138,plain,
% 41.92/27.59 (v110(constB122) | (~v108(constB121))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16137, 731, 15138])).
% 41.92/27.59 tff(16139,plain,
% 41.92/27.59 (v110(constB122)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16138, 16131])).
% 41.92/27.59 tff(16140,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16141,plain,
% 41.92/27.59 (((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)) <=> ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16142,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122)))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16141])).
% 41.92/27.59 tff(16143,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16142, 16140])).
% 41.92/27.59 tff(16144,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16145,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122)),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16144, 16143])).
% 41.92/27.59 tff(16146,plain,
% 41.92/27.59 (v104(constB122) | v102(constB122)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16145, 673, 15138])).
% 41.92/27.59 tff(16147,plain,
% 41.92/27.59 (v102(constB122)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16146, 15951])).
% 41.92/27.59 tff(16148,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16149,plain,
% 41.92/27.59 (((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))) <=> ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16150,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16149])).
% 41.92/27.59 tff(16151,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16150, 16148])).
% 41.92/27.59 tff(16152,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16153,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16152, 16151])).
% 41.92/27.59 tff(16154,plain,
% 41.92/27.59 (v101(constB122) | (~v102(constB122))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16153, 694, 15138, 15150])).
% 41.92/27.59 tff(16155,plain,
% 41.92/27.59 (v101(constB122)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16154, 16147])).
% 41.92/27.59 tff(16156,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16157,plain,
% 41.92/27.59 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16158,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 41.92/27.59 inference(monotonicity,[status(thm)],[16157])).
% 41.92/27.59 tff(16159,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 41.92/27.59 inference(transitivity,[status(thm)],[16158, 16156])).
% 41.92/27.59 tff(16160,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16161,plain,
% 41.92/27.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16160, 16159])).
% 41.92/27.59 tff(16162,plain,
% 41.92/27.59 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16161, 712, 15138])).
% 41.92/27.59 tff(16163,plain,
% 41.92/27.59 (v100(constB122) | (~v110(constB122))),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16162, 16155])).
% 41.92/27.59 tff(16164,plain,
% 41.92/27.59 (v100(constB122)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16163, 16139])).
% 41.92/27.59 tff(16165,assumption,(v130(constB121, bitIndex2)), introduced(assumption)).
% 41.92/27.59 tff(16166,plain,
% 41.92/27.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))),
% 41.92/27.59 inference(rewrite,[status(thm)],[])).
% 41.92/27.59 tff(16167,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))),
% 41.92/27.59 inference(quant_inst,[status(thm)],[])).
% 41.92/27.59 tff(16168,plain,
% 41.92/27.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2)),
% 41.92/27.59 inference(modus_ponens,[status(thm)],[16167, 16166])).
% 41.92/27.59 tff(16169,plain,
% 41.92/27.59 (v26(constB121) | v127(constB121, bitIndex2)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16168, 607, 16165])).
% 41.92/27.59 tff(16170,plain,
% 41.92/27.59 (v127(constB121, bitIndex2)),
% 41.92/27.59 inference(unit_resolution,[status(thm)],[16169, 16115])).
% 41.92/27.59 tff(16171,plain,
% 41.92/27.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16172,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16173,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16172, 16171])).
% 41.92/27.60 tff(16174,plain,
% 41.92/27.60 ((~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16173, 625, 15138])).
% 41.92/27.60 tff(16175,plain,
% 41.92/27.60 (v129(constB122, bitIndex2)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16174, 16170])).
% 41.92/27.60 tff(16176,plain,
% 41.92/27.60 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16177,plain,
% 41.92/27.60 ((v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16178,plain,
% 41.92/27.60 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122))))),
% 41.92/27.60 inference(monotonicity,[status(thm)],[16177])).
% 41.92/27.60 tff(16179,plain,
% 41.92/27.60 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 41.92/27.60 inference(transitivity,[status(thm)],[16178, 16176])).
% 41.92/27.60 tff(16180,plain,
% 41.92/27.60 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16181,plain,
% 41.92/27.60 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122))),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16180, 16179])).
% 41.92/27.60 tff(16182,plain,
% 41.92/27.60 (v90(constB122, bitIndex2) | (~v100(constB122))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16181, 641, 16175])).
% 41.92/27.60 tff(16183,plain,
% 41.92/27.60 (v90(constB122, bitIndex2)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16182, 16164])).
% 41.92/27.60 tff(16184,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16185,plain,
% 41.92/27.60 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16186,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 41.92/27.60 inference(monotonicity,[status(thm)],[16185])).
% 41.92/27.60 tff(16187,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 41.92/27.60 inference(transitivity,[status(thm)],[16186, 16184])).
% 41.92/27.60 tff(16188,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16189,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 41.92/27.60 tff(16190,plain,
% 41.92/27.60 (~v101(constB123)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16189, 391, 15170, 15983])).
% 41.92/27.60 tff(16191,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16192,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16193,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16192, 16191])).
% 41.92/27.60 tff(16194,plain,
% 41.92/27.60 (v101(constB123) | (~v100(constB123))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16193, 408, 15170])).
% 41.92/27.60 tff(16195,plain,
% 41.92/27.60 (~v100(constB123)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16194, 16190])).
% 41.92/27.60 tff(16196,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16197,plain,
% 41.92/27.60 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16198,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2)))),
% 41.92/27.60 inference(monotonicity,[status(thm)],[16197])).
% 41.92/27.60 tff(16199,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 41.92/27.60 inference(transitivity,[status(thm)],[16198, 16196])).
% 41.92/27.60 tff(16200,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16201,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2)),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 41.92/27.60 tff(16202,plain,
% 41.92/27.60 ((~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16201, 783, 15170])).
% 41.92/27.60 tff(16203,plain,
% 41.92/27.60 ((~v90(constB122, bitIndex2)) | v90(constB123, bitIndex2)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16202, 16195])).
% 41.92/27.60 tff(16204,plain,
% 41.92/27.60 (v90(constB123, bitIndex2)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16203, 16183])).
% 41.92/27.60 tff(16205,assumption,(~v130(constB121, bitIndex0)), introduced(assumption)).
% 41.92/27.60 tff(16206,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16207,plain,
% 41.92/27.60 ((v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0))) <=> ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16208,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0)))),
% 41.92/27.60 inference(monotonicity,[status(thm)],[16207])).
% 41.92/27.60 tff(16209,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 41.92/27.60 inference(transitivity,[status(thm)],[16208, 16206])).
% 41.92/27.60 tff(16210,plain,
% 41.92/27.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16211,plain,
% 41.92/27.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0)),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 41.92/27.60 tff(16212,plain,
% 41.92/27.60 ((~v127(constB121, bitIndex0)) | v26(constB121)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16211, 907, 16205])).
% 41.92/27.60 tff(16213,plain,
% 41.92/27.60 (~v127(constB121, bitIndex0)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16212, 16115])).
% 41.92/27.60 tff(16214,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16215,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16216,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0))),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16215, 16214])).
% 41.92/27.60 tff(16217,plain,
% 41.92/27.60 (v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16216, 937, 15138])).
% 41.92/27.60 tff(16218,plain,
% 41.92/27.60 (~v129(constB122, bitIndex0)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16217, 16213])).
% 41.92/27.60 tff(16219,plain,
% 41.92/27.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16220,plain,
% 41.92/27.60 (((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0)) <=> ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16221,plain,
% 41.92/27.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122))))),
% 41.92/27.60 inference(monotonicity,[status(thm)],[16220])).
% 41.92/27.60 tff(16222,plain,
% 41.92/27.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 41.92/27.60 inference(transitivity,[status(thm)],[16221, 16219])).
% 41.92/27.60 tff(16223,plain,
% 41.92/27.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16224,plain,
% 41.92/27.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122))),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16223, 16222])).
% 41.92/27.60 tff(16225,plain,
% 41.92/27.60 ((~v90(constB122, bitIndex0)) | (~v100(constB122))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16224, 952, 16218])).
% 41.92/27.60 tff(16226,plain,
% 41.92/27.60 (~v90(constB122, bitIndex0)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16225, 16164])).
% 41.92/27.60 tff(16227,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16228,plain,
% 41.92/27.60 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0))) <=> (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16229,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0))))),
% 41.92/27.60 inference(monotonicity,[status(thm)],[16228])).
% 41.92/27.60 tff(16230,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 41.92/27.60 inference(transitivity,[status(thm)],[16229, 16227])).
% 41.92/27.60 tff(16231,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16232,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0))),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 41.92/27.60 tff(16233,plain,
% 41.92/27.60 (v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16232, 465, 15170])).
% 41.92/27.60 tff(16234,plain,
% 41.92/27.60 (v90(constB122, bitIndex0) | (~v90(constB123, bitIndex0))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16233, 16195])).
% 41.92/27.60 tff(16235,plain,
% 41.92/27.60 (~v90(constB123, bitIndex0)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16234, 16226])).
% 41.92/27.60 tff(16236,assumption,(~v130(constB121, bitIndex1)), introduced(assumption)).
% 41.92/27.60 tff(16237,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16238,plain,
% 41.92/27.60 ((v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1))) <=> ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16239,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)))),
% 41.92/27.60 inference(monotonicity,[status(thm)],[16238])).
% 41.92/27.60 tff(16240,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 41.92/27.60 inference(transitivity,[status(thm)],[16239, 16237])).
% 41.92/27.60 tff(16241,plain,
% 41.92/27.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16242,plain,
% 41.92/27.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16241, 16240])).
% 41.92/27.60 tff(16243,plain,
% 41.92/27.60 ((~v127(constB121, bitIndex1)) | v26(constB121)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16242, 823, 16236])).
% 41.92/27.60 tff(16244,plain,
% 41.92/27.60 (~v127(constB121, bitIndex1)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16243, 16115])).
% 41.92/27.60 tff(16245,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16246,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16247,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16246, 16245])).
% 41.92/27.60 tff(16248,plain,
% 41.92/27.60 (v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16247, 853, 15138])).
% 41.92/27.60 tff(16249,plain,
% 41.92/27.60 (~v129(constB122, bitIndex1)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16248, 16244])).
% 41.92/27.60 tff(16250,plain,
% 41.92/27.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16251,plain,
% 41.92/27.60 (((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16252,plain,
% 41.92/27.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))))),
% 41.92/27.60 inference(monotonicity,[status(thm)],[16251])).
% 41.92/27.60 tff(16253,plain,
% 41.92/27.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 41.92/27.60 inference(transitivity,[status(thm)],[16252, 16250])).
% 41.92/27.60 tff(16254,plain,
% 41.92/27.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16255,plain,
% 41.92/27.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16254, 16253])).
% 41.92/27.60 tff(16256,plain,
% 41.92/27.60 ((~v90(constB122, bitIndex1)) | (~v100(constB122))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16255, 868, 16249])).
% 41.92/27.60 tff(16257,plain,
% 41.92/27.60 (~v90(constB122, bitIndex1)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16256, 16164])).
% 41.92/27.60 tff(16258,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16259,plain,
% 41.92/27.60 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16260,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))))),
% 41.92/27.60 inference(monotonicity,[status(thm)],[16259])).
% 41.92/27.60 tff(16261,plain,
% 41.92/27.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 41.92/27.60 inference(transitivity,[status(thm)],[16260, 16258])).
% 41.92/27.60 tff(16262,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16263,plain,
% 41.92/27.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16262, 16261])).
% 41.92/27.60 tff(16264,plain,
% 41.92/27.60 (v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16263, 444, 15170])).
% 41.92/27.60 tff(16265,plain,
% 41.92/27.60 (v90(constB122, bitIndex1) | (~v90(constB123, bitIndex1))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16264, 16195])).
% 41.92/27.60 tff(16266,plain,
% 41.92/27.60 (~v90(constB123, bitIndex1)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16265, 16257])).
% 41.92/27.60 tff(16267,assumption,(~v123(constB123)), introduced(assumption)).
% 41.92/27.60 tff(16268,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16269,plain,
% 41.92/27.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16270,plain,
% 41.92/27.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123)),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16269, 16268])).
% 41.92/27.60 tff(16271,plain,
% 41.92/27.60 (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2))),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16270, 979, 16267])).
% 41.92/27.60 tff(16272,plain,
% 41.92/27.60 ($false),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16271, 16266, 16235, 16204])).
% 41.92/27.60 tff(16273,plain,(v26(constB121) | v123(constB123) | (~v113(constB121)) | (~v130(constB121, bitIndex2)) | v130(constB121, bitIndex1) | v130(constB121, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 41.92/27.60 tff(16274,plain,
% 41.92/27.60 (v123(constB123) | (~v113(constB121)) | (~v130(constB121, bitIndex2)) | v130(constB121, bitIndex1) | v130(constB121, bitIndex0)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16273, 16114])).
% 41.92/27.60 tff(16275,plain,
% 41.92/27.60 (v123(constB123)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16274, 16110, 16082, 16078, 16074])).
% 41.92/27.60 tff(16276,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB123)) | v115(constB123))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16277,plain,
% 41.92/27.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB123)) | v115(constB123))),
% 41.92/27.60 inference(quant_inst,[status(thm)],[])).
% 41.92/27.60 tff(16278,plain,
% 41.92/27.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB123)) | v115(constB123)),
% 41.92/27.60 inference(modus_ponens,[status(thm)],[16277, 16276])).
% 41.92/27.60 tff(16279,plain,
% 41.92/27.60 (v115(constB123)),
% 41.92/27.60 inference(unit_resolution,[status(thm)],[16278, 990, 16275])).
% 41.92/27.60 tff(16280,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16281,plain,
% 41.92/27.60 (((~v115(constB123)) | v114(constB123)) <=> (v114(constB123) | (~v115(constB123)))),
% 41.92/27.60 inference(rewrite,[status(thm)],[])).
% 41.92/27.60 tff(16282,plain,
% 41.92/27.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123))))),
% 41.92/27.61 inference(monotonicity,[status(thm)],[16281])).
% 41.92/27.61 tff(16283,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 41.92/27.61 inference(transitivity,[status(thm)],[16282, 16280])).
% 41.92/27.61 tff(16284,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16285,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123))),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16284, 16283])).
% 41.92/27.61 tff(16286,plain,
% 41.92/27.61 (v114(constB123)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16285, 553, 16279])).
% 41.92/27.61 tff(16287,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16288,plain,
% 41.92/27.61 (((~v114(constB123)) | v113(constB123)) <=> (v113(constB123) | (~v114(constB123)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16289,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123))))),
% 41.92/27.61 inference(monotonicity,[status(thm)],[16288])).
% 41.92/27.61 tff(16290,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 41.92/27.61 inference(transitivity,[status(thm)],[16289, 16287])).
% 41.92/27.61 tff(16291,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16292,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123))),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16291, 16290])).
% 41.92/27.61 tff(16293,plain,
% 41.92/27.61 (v113(constB123)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16292, 567, 16286])).
% 41.92/27.61 tff(16294,assumption,(v26(constB123)), introduced(assumption)).
% 41.92/27.61 tff(16295,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16296,plain,
% 41.92/27.61 ($false),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16295, 95, 16294])).
% 41.92/27.61 tff(16297,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 41.92/27.61 tff(16298,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16299,plain,
% 41.92/27.61 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16300,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123))))),
% 41.92/27.61 inference(monotonicity,[status(thm)],[16299])).
% 41.92/27.61 tff(16301,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 41.92/27.61 inference(transitivity,[status(thm)],[16300, 16298])).
% 41.92/27.61 tff(16302,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16303,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16302, 16301])).
% 41.92/27.61 tff(16304,plain,
% 41.92/27.61 (v112(constB123) | (~v113(constB123))),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16303, 581, 16297])).
% 41.92/27.61 tff(16305,plain,
% 41.92/27.61 (v112(constB123)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16304, 16293])).
% 41.92/27.61 tff(16306,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16307,plain,
% 41.92/27.61 (((~v112(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v112(constB123)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16308,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123))))),
% 41.92/27.61 inference(monotonicity,[status(thm)],[16307])).
% 41.92/27.61 tff(16309,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 41.92/27.61 inference(transitivity,[status(thm)],[16308, 16306])).
% 41.92/27.61 tff(16310,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16311,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123))),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16310, 16309])).
% 41.92/27.61 tff(16312,plain,
% 41.92/27.61 (v108(constB123)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16311, 746, 16305])).
% 41.92/27.61 tff(16313,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16314,plain,
% 41.92/27.61 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16315,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 41.92/27.61 inference(monotonicity,[status(thm)],[16314])).
% 41.92/27.61 tff(16316,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 41.92/27.61 inference(transitivity,[status(thm)],[16315, 16313])).
% 41.92/27.61 tff(16317,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16318,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16317, 16316])).
% 41.92/27.61 tff(16319,plain,
% 41.92/27.61 (v110(constB124) | (~v108(constB123))),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16318, 731, 16023])).
% 41.92/27.61 tff(16320,plain,
% 41.92/27.61 (v110(constB124)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16319, 16312])).
% 41.92/27.61 tff(16321,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16322,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16323,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16322, 16321])).
% 41.92/27.61 tff(16324,plain,
% 41.92/27.61 (~v104(constB124)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16323, 659, 16023, 15983])).
% 41.92/27.61 tff(16325,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16326,plain,
% 41.92/27.61 (((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)) <=> ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16327,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124)))),
% 41.92/27.61 inference(monotonicity,[status(thm)],[16326])).
% 41.92/27.61 tff(16328,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 41.92/27.61 inference(transitivity,[status(thm)],[16327, 16325])).
% 41.92/27.61 tff(16329,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16330,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124)),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16329, 16328])).
% 41.92/27.61 tff(16331,plain,
% 41.92/27.61 (v104(constB124) | v102(constB124)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16330, 673, 16023])).
% 41.92/27.61 tff(16332,plain,
% 41.92/27.61 (v102(constB124)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16331, 16324])).
% 41.92/27.61 tff(16333,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16334,plain,
% 41.92/27.61 (((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))) <=> ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16335,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124))))),
% 41.92/27.61 inference(monotonicity,[status(thm)],[16334])).
% 41.92/27.61 tff(16336,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 41.92/27.61 inference(transitivity,[status(thm)],[16335, 16333])).
% 41.92/27.61 tff(16337,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16338,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124))),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16337, 16336])).
% 41.92/27.61 tff(16339,plain,
% 41.92/27.61 (v101(constB124) | (~v102(constB124))),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16338, 694, 16023, 16035])).
% 41.92/27.61 tff(16340,plain,
% 41.92/27.61 (v101(constB124)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16339, 16332])).
% 41.92/27.61 tff(16341,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16342,plain,
% 41.92/27.61 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16343,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 41.92/27.61 inference(monotonicity,[status(thm)],[16342])).
% 41.92/27.61 tff(16344,plain,
% 41.92/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 41.92/27.61 inference(transitivity,[status(thm)],[16343, 16341])).
% 41.92/27.61 tff(16345,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16346,plain,
% 41.92/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16345, 16344])).
% 41.92/27.61 tff(16347,plain,
% 41.92/27.61 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16346, 712, 16023])).
% 41.92/27.61 tff(16348,plain,
% 41.92/27.61 (v100(constB124) | (~v110(constB124))),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16347, 16340])).
% 41.92/27.61 tff(16349,plain,
% 41.92/27.61 (v100(constB124)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16348, 16320])).
% 41.92/27.61 tff(16350,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB123)) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB123)) | v130(constB123, bitIndex2))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16351,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB123)) | v130(constB123, bitIndex2))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16352,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB123)) | v130(constB123, bitIndex2)),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16351, 16350])).
% 41.92/27.61 tff(16353,plain,
% 41.92/27.61 (v130(constB123, bitIndex2)),
% 41.92/27.61 inference(unit_resolution,[status(thm)],[16352, 1074, 16275])).
% 41.92/27.61 tff(16354,plain,
% 41.92/27.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))),
% 41.92/27.61 inference(rewrite,[status(thm)],[])).
% 41.92/27.61 tff(16355,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))),
% 41.92/27.61 inference(quant_inst,[status(thm)],[])).
% 41.92/27.61 tff(16356,plain,
% 41.92/27.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 41.92/27.61 inference(modus_ponens,[status(thm)],[16355, 16354])).
% 42.01/27.61 tff(16357,plain,
% 42.01/27.61 ((~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16356, 607, 16297])).
% 42.01/27.61 tff(16358,plain,
% 42.01/27.61 (v127(constB123, bitIndex2)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16357, 16353])).
% 42.01/27.61 tff(16359,plain,
% 42.01/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16360,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16361,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16360, 16359])).
% 42.01/27.61 tff(16362,plain,
% 42.01/27.61 ((~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16361, 625, 16023])).
% 42.01/27.61 tff(16363,plain,
% 42.01/27.61 (v129(constB124, bitIndex2)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16362, 16358])).
% 42.01/27.61 tff(16364,plain,
% 42.01/27.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16365,plain,
% 42.01/27.61 ((v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16366,plain,
% 42.01/27.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124))))),
% 42.01/27.61 inference(monotonicity,[status(thm)],[16365])).
% 42.01/27.61 tff(16367,plain,
% 42.01/27.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 42.01/27.61 inference(transitivity,[status(thm)],[16366, 16364])).
% 42.01/27.61 tff(16368,plain,
% 42.01/27.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16369,plain,
% 42.01/27.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124))),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16368, 16367])).
% 42.01/27.61 tff(16370,plain,
% 42.01/27.61 (v90(constB124, bitIndex2) | (~v100(constB124))),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16369, 641, 16363])).
% 42.01/27.61 tff(16371,plain,
% 42.01/27.61 (v90(constB124, bitIndex2)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16370, 16349])).
% 42.01/27.61 tff(16372,plain,
% 42.01/27.61 ((~v1(constB125)) <=> (~v1(constB125))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16373,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 42.01/27.61 tff(16374,plain,
% 42.01/27.61 (~v1(constB125)),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16373, 16372])).
% 42.01/27.61 tff(16375,plain,
% 42.01/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16376,plain,
% 42.01/27.61 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16377,plain,
% 42.01/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 42.01/27.61 inference(monotonicity,[status(thm)],[16376])).
% 42.01/27.61 tff(16378,plain,
% 42.01/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 42.01/27.61 inference(transitivity,[status(thm)],[16377, 16375])).
% 42.01/27.61 tff(16379,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16380,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16379, 16378])).
% 42.01/27.61 tff(16381,plain,
% 42.01/27.61 (~v101(constB125)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16380, 391, 16055, 16374])).
% 42.01/27.61 tff(16382,plain,
% 42.01/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16383,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16384,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16383, 16382])).
% 42.01/27.61 tff(16385,plain,
% 42.01/27.61 (v101(constB125) | (~v100(constB125))),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16384, 408, 16055])).
% 42.01/27.61 tff(16386,plain,
% 42.01/27.61 (~v100(constB125)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16385, 16381])).
% 42.01/27.61 tff(16387,plain,
% 42.01/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16388,plain,
% 42.01/27.61 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16389,plain,
% 42.01/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2)))),
% 42.01/27.61 inference(monotonicity,[status(thm)],[16388])).
% 42.01/27.61 tff(16390,plain,
% 42.01/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 42.01/27.61 inference(transitivity,[status(thm)],[16389, 16387])).
% 42.01/27.61 tff(16391,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16392,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2)),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16391, 16390])).
% 42.01/27.61 tff(16393,plain,
% 42.01/27.61 ((~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16392, 783, 16055])).
% 42.01/27.61 tff(16394,plain,
% 42.01/27.61 ((~v90(constB124, bitIndex2)) | v90(constB125, bitIndex2)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16393, 16386])).
% 42.01/27.61 tff(16395,plain,
% 42.01/27.61 (v90(constB125, bitIndex2)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16394, 16371])).
% 42.01/27.61 tff(16396,plain,
% 42.01/27.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v90(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v90(constB125, bitIndex2)))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16397,plain,
% 42.01/27.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v90(constB125, bitIndex2)))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16398,plain,
% 42.01/27.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v90(constB125, bitIndex2))),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16397, 16396])).
% 42.01/27.61 tff(16399,plain,
% 42.01/27.61 (~v121(constB125)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16398, 1336, 16395])).
% 42.01/27.61 tff(16400,plain,
% 42.01/27.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB125)) | (~v90(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB125)) | (~v90(constB125, bitIndex2)))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16401,plain,
% 42.01/27.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB125)) | (~v90(constB125, bitIndex2)))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16402,plain,
% 42.01/27.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB125)) | (~v90(constB125, bitIndex2))),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16401, 16400])).
% 42.01/27.61 tff(16403,plain,
% 42.01/27.61 (~v122(constB125)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16402, 1347, 16395])).
% 42.01/27.61 tff(16404,plain,
% 42.01/27.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB123)) | v130(constB123, bitIndex1))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16405,plain,
% 42.01/27.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB123)) | v130(constB123, bitIndex1))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16406,plain,
% 42.01/27.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB123)) | v130(constB123, bitIndex1)),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16405, 16404])).
% 42.01/27.61 tff(16407,plain,
% 42.01/27.61 (v130(constB123, bitIndex1)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16406, 1130, 16275])).
% 42.01/27.61 tff(16408,plain,
% 42.01/27.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16409,plain,
% 42.01/27.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16410,plain,
% 42.01/27.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16409, 16408])).
% 42.01/27.61 tff(16411,plain,
% 42.01/27.61 ((~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16410, 1144, 16297])).
% 42.01/27.61 tff(16412,plain,
% 42.01/27.61 (v127(constB123, bitIndex1)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16411, 16407])).
% 42.01/27.61 tff(16413,plain,
% 42.01/27.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16414,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 42.01/27.61 inference(quant_inst,[status(thm)],[])).
% 42.01/27.61 tff(16415,plain,
% 42.01/27.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 42.01/27.61 inference(modus_ponens,[status(thm)],[16414, 16413])).
% 42.01/27.61 tff(16416,plain,
% 42.01/27.61 ((~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16415, 1159, 16023])).
% 42.01/27.61 tff(16417,plain,
% 42.01/27.61 (v129(constB124, bitIndex1)),
% 42.01/27.61 inference(unit_resolution,[status(thm)],[16416, 16412])).
% 42.01/27.61 tff(16418,plain,
% 42.01/27.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16419,plain,
% 42.01/27.61 ((v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 42.01/27.61 inference(rewrite,[status(thm)],[])).
% 42.01/27.61 tff(16420,plain,
% 42.01/27.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))))),
% 42.01/27.62 inference(monotonicity,[status(thm)],[16419])).
% 42.01/27.62 tff(16421,plain,
% 42.01/27.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 42.01/27.62 inference(transitivity,[status(thm)],[16420, 16418])).
% 42.01/27.62 tff(16422,plain,
% 42.01/27.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16423,plain,
% 42.01/27.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16422, 16421])).
% 42.01/27.62 tff(16424,plain,
% 42.01/27.62 (v90(constB124, bitIndex1) | (~v100(constB124))),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16423, 1174, 16417])).
% 42.01/27.62 tff(16425,plain,
% 42.01/27.62 (v90(constB124, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16424, 16349])).
% 42.01/27.62 tff(16426,plain,
% 42.01/27.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16427,plain,
% 42.01/27.62 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16428,plain,
% 42.01/27.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)))),
% 42.01/27.62 inference(monotonicity,[status(thm)],[16427])).
% 42.01/27.62 tff(16429,plain,
% 42.01/27.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 42.01/27.62 inference(transitivity,[status(thm)],[16428, 16426])).
% 42.01/27.62 tff(16430,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16431,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16430, 16429])).
% 42.01/27.62 tff(16432,plain,
% 42.01/27.62 ((~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16431, 1192, 16055])).
% 42.01/27.62 tff(16433,plain,
% 42.01/27.62 ((~v90(constB124, bitIndex1)) | v90(constB125, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16432, 16386])).
% 42.01/27.62 tff(16434,plain,
% 42.01/27.62 (v90(constB125, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16433, 16425])).
% 42.01/27.62 tff(16435,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v90(constB125, bitIndex1)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16436,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex1)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16437,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v90(constB125, bitIndex1))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16436, 16435])).
% 42.01/27.62 tff(16438,plain,
% 42.01/27.62 (~v119(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16437, 1380, 16434])).
% 42.01/27.62 tff(16439,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB125)) | (~v90(constB125, bitIndex1)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16440,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB125)) | (~v90(constB125, bitIndex1)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16441,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB125)) | (~v90(constB125, bitIndex1))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16440, 16439])).
% 42.01/27.62 tff(16442,plain,
% 42.01/27.62 (~v120(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16441, 1391, 16434])).
% 42.01/27.62 tff(16443,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB125)) | (~v90(constB125, bitIndex1)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16444,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB125)) | (~v90(constB125, bitIndex1)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16445,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB125)) | (~v90(constB125, bitIndex1))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 42.01/27.62 tff(16446,plain,
% 42.01/27.62 (~v123(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16445, 1358, 16434])).
% 42.01/27.62 tff(16447,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB125)) | (~v90(constB125, bitIndex1)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16448,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB125)) | (~v90(constB125, bitIndex1)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16449,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB125)) | (~v90(constB125, bitIndex1))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 42.01/27.62 tff(16450,plain,
% 42.01/27.62 (~v124(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16449, 1369, 16434])).
% 42.01/27.62 tff(16451,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16452,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16453,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16452, 16451])).
% 42.01/27.62 tff(16454,plain,
% 42.01/27.62 (~v130(constB125, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16453, 1494, 16450, 16446, 16442, 16438, 16403, 16399])).
% 42.01/27.62 tff(16455,assumption,(v26(constB125)), introduced(assumption)).
% 42.01/27.62 tff(16456,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16457,plain,
% 42.01/27.62 ($false),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16456, 95, 16455])).
% 42.01/27.62 tff(16458,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.62 tff(16459,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16460,plain,
% 42.01/27.62 ((v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1))) <=> ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16461,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1)))),
% 42.01/27.62 inference(monotonicity,[status(thm)],[16460])).
% 42.01/27.62 tff(16462,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 42.01/27.62 inference(transitivity,[status(thm)],[16461, 16459])).
% 42.01/27.62 tff(16463,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16464,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1)),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16463, 16462])).
% 42.01/27.62 tff(16465,plain,
% 42.01/27.62 ((~v127(constB125, bitIndex1)) | v130(constB125, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16464, 823, 16458])).
% 42.01/27.62 tff(16466,plain,
% 42.01/27.62 (~v127(constB125, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16465, 16454])).
% 42.01/27.62 tff(16467,plain,
% 42.01/27.62 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16468,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 42.01/27.62 tff(16469,plain,
% 42.01/27.62 (nextState(constB125, constB126)),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16468, 16467])).
% 42.01/27.62 tff(16470,plain,
% 42.01/27.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16471,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16472,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16471, 16470])).
% 42.01/27.62 tff(16473,plain,
% 42.01/27.62 (v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1))),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16472, 853, 16469])).
% 42.01/27.62 tff(16474,plain,
% 42.01/27.62 (~v129(constB126, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16473, 16466])).
% 42.01/27.62 tff(16475,assumption,(v123(constB123)), introduced(assumption)).
% 42.01/27.62 tff(16476,plain,
% 42.01/27.62 (v115(constB123)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16278, 990, 16475])).
% 42.01/27.62 tff(16477,plain,
% 42.01/27.62 (v114(constB123)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16285, 553, 16476])).
% 42.01/27.62 tff(16478,plain,
% 42.01/27.62 (v113(constB123)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16292, 567, 16477])).
% 42.01/27.62 tff(16479,plain,
% 42.01/27.62 (v112(constB123)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16304, 16478])).
% 42.01/27.62 tff(16480,plain,
% 42.01/27.62 (v108(constB123)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16311, 746, 16479])).
% 42.01/27.62 tff(16481,plain,
% 42.01/27.62 (v110(constB124)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16319, 16480])).
% 42.01/27.62 tff(16482,plain,
% 42.01/27.62 (v100(constB124)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16348, 16481])).
% 42.01/27.62 tff(16483,plain,
% 42.01/27.62 (v130(constB123, bitIndex2)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16352, 1074, 16475])).
% 42.01/27.62 tff(16484,plain,
% 42.01/27.62 (v127(constB123, bitIndex2)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16357, 16483])).
% 42.01/27.62 tff(16485,plain,
% 42.01/27.62 (v129(constB124, bitIndex2)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16362, 16484])).
% 42.01/27.62 tff(16486,plain,
% 42.01/27.62 (v90(constB124, bitIndex2) | (~v100(constB124))),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16369, 641, 16485])).
% 42.01/27.62 tff(16487,plain,
% 42.01/27.62 (v90(constB124, bitIndex2)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16486, 16482])).
% 42.01/27.62 tff(16488,plain,
% 42.01/27.62 (v90(constB125, bitIndex2)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16394, 16487])).
% 42.01/27.62 tff(16489,plain,
% 42.01/27.62 (v130(constB123, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16406, 1130, 16475])).
% 42.01/27.62 tff(16490,plain,
% 42.01/27.62 (v127(constB123, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16411, 16489])).
% 42.01/27.62 tff(16491,plain,
% 42.01/27.62 (v129(constB124, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16416, 16490])).
% 42.01/27.62 tff(16492,plain,
% 42.01/27.62 (v90(constB124, bitIndex1) | (~v100(constB124))),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16423, 1174, 16491])).
% 42.01/27.62 tff(16493,plain,
% 42.01/27.62 (v90(constB124, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16492, 16482])).
% 42.01/27.62 tff(16494,plain,
% 42.01/27.62 (v90(constB125, bitIndex1)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16433, 16493])).
% 42.01/27.62 tff(16495,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB123)) | (~v130(constB123, bitIndex0)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16496,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB123)) | (~v130(constB123, bitIndex0)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16497,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB123)) | (~v130(constB123, bitIndex0))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 42.01/27.62 tff(16498,plain,
% 42.01/27.62 (~v130(constB123, bitIndex0)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16497, 1208, 16475])).
% 42.01/27.62 tff(16499,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16500,plain,
% 42.01/27.62 ((v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0))) <=> ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16501,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)))),
% 42.01/27.62 inference(monotonicity,[status(thm)],[16500])).
% 42.01/27.62 tff(16502,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 42.01/27.62 inference(transitivity,[status(thm)],[16501, 16499])).
% 42.01/27.62 tff(16503,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16504,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16503, 16502])).
% 42.01/27.62 tff(16505,plain,
% 42.01/27.62 ((~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16504, 907, 16297])).
% 42.01/27.62 tff(16506,plain,
% 42.01/27.62 (~v127(constB123, bitIndex0)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16505, 16498])).
% 42.01/27.62 tff(16507,plain,
% 42.01/27.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16508,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16509,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16508, 16507])).
% 42.01/27.62 tff(16510,plain,
% 42.01/27.62 (v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16509, 937, 16023])).
% 42.01/27.62 tff(16511,plain,
% 42.01/27.62 (~v129(constB124, bitIndex0)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16510, 16506])).
% 42.01/27.62 tff(16512,plain,
% 42.01/27.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16513,plain,
% 42.01/27.62 (((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16514,plain,
% 42.01/27.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))))),
% 42.01/27.62 inference(monotonicity,[status(thm)],[16513])).
% 42.01/27.62 tff(16515,plain,
% 42.01/27.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 42.01/27.62 inference(transitivity,[status(thm)],[16514, 16512])).
% 42.01/27.62 tff(16516,plain,
% 42.01/27.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16517,plain,
% 42.01/27.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16516, 16515])).
% 42.01/27.62 tff(16518,plain,
% 42.01/27.62 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16517, 952, 16511])).
% 42.01/27.62 tff(16519,plain,
% 42.01/27.62 (~v90(constB124, bitIndex0)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16518, 16482])).
% 42.01/27.62 tff(16520,plain,
% 42.01/27.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16521,plain,
% 42.01/27.62 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16522,plain,
% 42.01/27.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))))),
% 42.01/27.62 inference(monotonicity,[status(thm)],[16521])).
% 42.01/27.62 tff(16523,plain,
% 42.01/27.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 42.01/27.62 inference(transitivity,[status(thm)],[16522, 16520])).
% 42.01/27.62 tff(16524,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16525,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16524, 16523])).
% 42.01/27.62 tff(16526,plain,
% 42.01/27.62 (v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16525, 465, 16055])).
% 42.01/27.62 tff(16527,plain,
% 42.01/27.62 (v90(constB124, bitIndex0) | (~v90(constB125, bitIndex0))),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16526, 16386])).
% 42.01/27.62 tff(16528,plain,
% 42.01/27.62 (~v90(constB125, bitIndex0)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16527, 16519])).
% 42.01/27.62 tff(16529,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16530,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16531,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125)),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16530, 16529])).
% 42.01/27.62 tff(16532,plain,
% 42.01/27.62 (v125(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16531, 1252, 16528, 16494, 16488])).
% 42.01/27.62 tff(16533,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB125)) | v113(constB125))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16534,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB125)) | v113(constB125))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16535,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB125)) | v113(constB125)),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16534, 16533])).
% 42.01/27.62 tff(16536,plain,
% 42.01/27.62 (v113(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16535, 1263, 16532])).
% 42.01/27.62 tff(16537,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16538,plain,
% 42.01/27.62 ((v26(constB125) | (~v113(constB125)) | v112(constB125)) <=> (v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16539,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125))))),
% 42.01/27.62 inference(monotonicity,[status(thm)],[16538])).
% 42.01/27.62 tff(16540,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 42.01/27.62 inference(transitivity,[status(thm)],[16539, 16537])).
% 42.01/27.62 tff(16541,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16542,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125))),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16541, 16540])).
% 42.01/27.62 tff(16543,plain,
% 42.01/27.62 (v112(constB125) | (~v113(constB125))),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16542, 581, 16458])).
% 42.01/27.62 tff(16544,plain,
% 42.01/27.62 (v112(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16543, 16536])).
% 42.01/27.62 tff(16545,plain,
% 42.01/27.62 (~v121(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16398, 1336, 16488])).
% 42.01/27.62 tff(16546,plain,
% 42.01/27.62 (~v122(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16402, 1347, 16488])).
% 42.01/27.62 tff(16547,plain,
% 42.01/27.62 (~v119(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16437, 1380, 16494])).
% 42.01/27.62 tff(16548,plain,
% 42.01/27.62 (~v120(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16441, 1391, 16494])).
% 42.01/27.62 tff(16549,plain,
% 42.01/27.62 (~v123(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16445, 1358, 16494])).
% 42.01/27.62 tff(16550,plain,
% 42.01/27.62 (~v124(constB125)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16449, 1369, 16494])).
% 42.01/27.62 tff(16551,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16552,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16553,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0)),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16552, 16551])).
% 42.01/27.62 tff(16554,plain,
% 42.01/27.62 (v130(constB125, bitIndex0)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16553, 1538, 16550, 16549, 16548, 16547, 16546, 16545])).
% 42.01/27.62 tff(16555,plain,
% 42.01/27.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16556,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16557,plain,
% 42.01/27.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 42.01/27.62 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 42.01/27.62 tff(16558,plain,
% 42.01/27.62 ((~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16557, 1552, 16458])).
% 42.01/27.62 tff(16559,plain,
% 42.01/27.62 (v127(constB125, bitIndex0)),
% 42.01/27.62 inference(unit_resolution,[status(thm)],[16558, 16554])).
% 42.01/27.62 tff(16560,plain,
% 42.01/27.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 42.01/27.62 inference(rewrite,[status(thm)],[])).
% 42.01/27.62 tff(16561,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 42.01/27.62 inference(quant_inst,[status(thm)],[])).
% 42.01/27.62 tff(16562,plain,
% 42.01/27.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 42.01/27.63 tff(16563,plain,
% 42.01/27.63 ((~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16562, 1567, 16469])).
% 42.01/27.63 tff(16564,plain,
% 42.01/27.63 (v129(constB126, bitIndex0)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16563, 16559])).
% 42.01/27.63 tff(16565,assumption,(~v90(constB126, bitIndex0)), introduced(assumption)).
% 42.01/27.63 tff(16566,plain,
% 42.01/27.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16567,plain,
% 42.01/27.63 ((v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16568,plain,
% 42.01/27.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16567])).
% 42.01/27.63 tff(16569,plain,
% 42.01/27.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16568, 16566])).
% 42.01/27.63 tff(16570,plain,
% 42.01/27.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16571,plain,
% 42.01/27.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16570, 16569])).
% 42.01/27.63 tff(16572,plain,
% 42.01/27.63 ((~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16571, 1582, 16565])).
% 42.01/27.63 tff(16573,plain,
% 42.01/27.63 (~v100(constB126)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16572, 16564])).
% 42.01/27.63 tff(16574,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16575,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16576,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16575, 16574])).
% 42.01/27.63 tff(16577,plain,
% 42.01/27.63 (~v104(constB126)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16576, 659, 16469, 16374])).
% 42.01/27.63 tff(16578,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16579,plain,
% 42.01/27.63 (((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)) <=> ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16580,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126)))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16579])).
% 42.01/27.63 tff(16581,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16580, 16578])).
% 42.01/27.63 tff(16582,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16583,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126)),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16582, 16581])).
% 42.01/27.63 tff(16584,plain,
% 42.01/27.63 (v104(constB126) | v102(constB126)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16583, 673, 16469])).
% 42.01/27.63 tff(16585,plain,
% 42.01/27.63 (v102(constB126)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16584, 16577])).
% 42.01/27.63 tff(16586,plain,
% 42.01/27.63 (v1(constB126) <=> v1(constB126)),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16587,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 42.01/27.63 tff(16588,plain,
% 42.01/27.63 (v1(constB126)),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16587, 16586])).
% 42.01/27.63 tff(16589,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16590,plain,
% 42.01/27.63 (((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))) <=> ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16591,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16590])).
% 42.01/27.63 tff(16592,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16591, 16589])).
% 42.01/27.63 tff(16593,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16594,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16593, 16592])).
% 42.01/27.63 tff(16595,plain,
% 42.01/27.63 (v101(constB126) | (~v102(constB126))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16594, 694, 16469, 16588])).
% 42.01/27.63 tff(16596,plain,
% 42.01/27.63 (v101(constB126)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16595, 16585])).
% 42.01/27.63 tff(16597,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16598,plain,
% 42.01/27.63 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16599,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16598])).
% 42.01/27.63 tff(16600,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16599, 16597])).
% 42.01/27.63 tff(16601,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16602,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16601, 16600])).
% 42.01/27.63 tff(16603,plain,
% 42.01/27.63 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16602, 712, 16469])).
% 42.01/27.63 tff(16604,plain,
% 42.01/27.63 (v100(constB126) | (~v110(constB126))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16603, 16596])).
% 42.01/27.63 tff(16605,plain,
% 42.01/27.63 (~v110(constB126)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16604, 16573])).
% 42.01/27.63 tff(16606,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16607,plain,
% 42.01/27.63 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16608,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16607])).
% 42.01/27.63 tff(16609,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16608, 16606])).
% 42.01/27.63 tff(16610,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16611,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16610, 16609])).
% 42.01/27.63 tff(16612,plain,
% 42.01/27.63 (v110(constB126) | (~v108(constB125))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16611, 731, 16469])).
% 42.01/27.63 tff(16613,plain,
% 42.01/27.63 (~v108(constB125)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16612, 16605])).
% 42.01/27.63 tff(16614,plain,
% 42.01/27.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16615,plain,
% 42.01/27.63 (((~v112(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v112(constB125)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16616,plain,
% 42.01/27.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16615])).
% 42.01/27.63 tff(16617,plain,
% 42.01/27.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16616, 16614])).
% 42.01/27.63 tff(16618,plain,
% 42.01/27.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16619,plain,
% 42.01/27.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16618, 16617])).
% 42.01/27.63 tff(16620,plain,
% 42.01/27.63 ($false),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16619, 746, 16613, 16544])).
% 42.01/27.63 tff(16621,plain,((~v123(constB123)) | v90(constB126, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.63 tff(16622,plain,
% 42.01/27.63 (v90(constB126, bitIndex0)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16621, 16275])).
% 42.01/27.63 tff(16623,plain,
% 42.01/27.63 (~v130(constB123, bitIndex0)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16497, 1208, 16275])).
% 42.01/27.63 tff(16624,plain,
% 42.01/27.63 (~v127(constB123, bitIndex0)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16505, 16623])).
% 42.01/27.63 tff(16625,plain,
% 42.01/27.63 (~v129(constB124, bitIndex0)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16510, 16624])).
% 42.01/27.63 tff(16626,plain,
% 42.01/27.63 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16517, 952, 16625])).
% 42.01/27.63 tff(16627,plain,
% 42.01/27.63 (~v90(constB124, bitIndex0)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16626, 16349])).
% 42.01/27.63 tff(16628,plain,
% 42.01/27.63 (~v90(constB125, bitIndex0)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16527, 16627])).
% 42.01/27.63 tff(16629,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16630,plain,
% 42.01/27.63 (((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0))) <=> (v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16631,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16630])).
% 42.01/27.63 tff(16632,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16631, 16629])).
% 42.01/27.63 tff(16633,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16634,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB125, bitIndex0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex0))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16633, 16632])).
% 42.01/27.63 tff(16635,plain,
% 42.01/27.63 (v90(constB125, bitIndex0) | v100(constB126) | (~v90(constB126, bitIndex0))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16634, 465, 16469])).
% 42.01/27.63 tff(16636,plain,
% 42.01/27.63 (v100(constB126)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16635, 16628, 16622])).
% 42.01/27.63 tff(16637,plain,
% 42.01/27.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16638,plain,
% 42.01/27.63 (((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1)) <=> ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16639,plain,
% 42.01/27.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16638])).
% 42.01/27.63 tff(16640,plain,
% 42.01/27.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16639, 16637])).
% 42.01/27.63 tff(16641,plain,
% 42.01/27.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16642,plain,
% 42.01/27.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16641, 16640])).
% 42.01/27.63 tff(16643,plain,
% 42.01/27.63 ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16642, 868, 16636])).
% 42.01/27.63 tff(16644,plain,
% 42.01/27.63 (~v90(constB126, bitIndex1)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16643, 16474])).
% 42.01/27.63 tff(16645,plain,
% 42.01/27.63 ((~v1(constB127)) <=> (~v1(constB127))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16646,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 42.01/27.63 tff(16647,plain,
% 42.01/27.63 (~v1(constB127)),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16646, 16645])).
% 42.01/27.63 tff(16648,plain,
% 42.01/27.63 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16649,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 42.01/27.63 tff(16650,plain,
% 42.01/27.63 (nextState(constB126, constB127)),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16649, 16648])).
% 42.01/27.63 tff(16651,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16652,plain,
% 42.01/27.63 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16653,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16652])).
% 42.01/27.63 tff(16654,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16653, 16651])).
% 42.01/27.63 tff(16655,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16656,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 42.01/27.63 tff(16657,plain,
% 42.01/27.63 (~v101(constB127)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16656, 391, 16650, 16647])).
% 42.01/27.63 tff(16658,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16659,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16660,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16659, 16658])).
% 42.01/27.63 tff(16661,plain,
% 42.01/27.63 (v101(constB127) | (~v100(constB127))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16660, 408, 16650])).
% 42.01/27.63 tff(16662,plain,
% 42.01/27.63 (~v100(constB127)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16661, 16657])).
% 42.01/27.63 tff(16663,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16664,plain,
% 42.01/27.63 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1))) <=> (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16665,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16664])).
% 42.01/27.63 tff(16666,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16665, 16663])).
% 42.01/27.63 tff(16667,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16668,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16667, 16666])).
% 42.01/27.63 tff(16669,plain,
% 42.01/27.63 (v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16668, 444, 16650])).
% 42.01/27.63 tff(16670,plain,
% 42.01/27.63 (v90(constB126, bitIndex1) | (~v90(constB127, bitIndex1))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16669, 16662])).
% 42.01/27.63 tff(16671,plain,
% 42.01/27.63 (~v90(constB127, bitIndex1)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16670, 16644])).
% 42.01/27.63 tff(16672,plain,
% 42.01/27.63 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16673,plain,
% 42.01/27.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16674,plain,
% 42.01/27.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16673, 16672])).
% 42.01/27.63 tff(16675,plain,
% 42.01/27.63 (~v130(constB125, bitIndex2)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16674, 1405, 16450, 16446, 16442, 16438, 16403, 16399])).
% 42.01/27.63 tff(16676,plain,
% 42.01/27.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16677,plain,
% 42.01/27.63 ((v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2))) <=> ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16678,plain,
% 42.01/27.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16677])).
% 42.01/27.63 tff(16679,plain,
% 42.01/27.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16678, 16676])).
% 42.01/27.63 tff(16680,plain,
% 42.01/27.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16681,plain,
% 42.01/27.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16680, 16679])).
% 42.01/27.63 tff(16682,plain,
% 42.01/27.63 ((~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16681, 1419, 16458])).
% 42.01/27.63 tff(16683,plain,
% 42.01/27.63 (~v127(constB125, bitIndex2)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16682, 16675])).
% 42.01/27.63 tff(16684,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16685,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16686,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16685, 16684])).
% 42.01/27.63 tff(16687,plain,
% 42.01/27.63 (v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16686, 1437, 16469])).
% 42.01/27.63 tff(16688,plain,
% 42.01/27.63 (~v129(constB126, bitIndex2)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16687, 16683])).
% 42.01/27.63 tff(16689,plain,
% 42.01/27.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16690,plain,
% 42.01/27.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 42.01/27.63 inference(quant_inst,[status(thm)],[])).
% 42.01/27.63 tff(16691,plain,
% 42.01/27.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))),
% 42.01/27.63 inference(modus_ponens,[status(thm)],[16690, 16689])).
% 42.01/27.63 tff(16692,plain,
% 42.01/27.63 ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16691, 1452, 16636])).
% 42.01/27.63 tff(16693,plain,
% 42.01/27.63 (~v90(constB126, bitIndex2)),
% 42.01/27.63 inference(unit_resolution,[status(thm)],[16692, 16688])).
% 42.01/27.63 tff(16694,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16695,plain,
% 42.01/27.63 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))) <=> (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 42.01/27.63 inference(rewrite,[status(thm)],[])).
% 42.01/27.63 tff(16696,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))))),
% 42.01/27.63 inference(monotonicity,[status(thm)],[16695])).
% 42.01/27.63 tff(16697,plain,
% 42.01/27.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 42.01/27.63 inference(transitivity,[status(thm)],[16696, 16694])).
% 42.01/27.63 tff(16698,plain,
% 42.01/27.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16699,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16698, 16697])).
% 42.01/27.64 tff(16700,plain,
% 42.01/27.64 (v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16699, 423, 16650])).
% 42.01/27.64 tff(16701,plain,
% 42.01/27.64 (v90(constB126, bitIndex2) | (~v90(constB127, bitIndex2))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16700, 16662])).
% 42.01/27.64 tff(16702,plain,
% 42.01/27.64 (~v90(constB127, bitIndex2)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16701, 16693])).
% 42.01/27.64 tff(16703,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16704,plain,
% 42.01/27.64 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16705,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)))),
% 42.01/27.64 inference(monotonicity,[status(thm)],[16704])).
% 42.01/27.64 tff(16706,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 42.01/27.64 inference(transitivity,[status(thm)],[16705, 16703])).
% 42.01/27.64 tff(16707,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16708,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16707, 16706])).
% 42.01/27.64 tff(16709,plain,
% 42.01/27.64 ((~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16708, 1600, 16650])).
% 42.01/27.64 tff(16710,plain,
% 42.01/27.64 ((~v90(constB126, bitIndex0)) | v90(constB127, bitIndex0)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16709, 16662])).
% 42.01/27.64 tff(16711,plain,
% 42.01/27.64 (v90(constB127, bitIndex0)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16710, 16622])).
% 42.01/27.64 tff(16712,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16713,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16714,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16713, 16712])).
% 42.01/27.64 tff(16715,plain,
% 42.01/27.64 (v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16714, 1619, 16711])).
% 42.01/27.64 tff(16716,plain,
% 42.01/27.64 (v120(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16715, 16702, 16671])).
% 42.01/27.64 tff(16717,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB127)) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB127)) | v130(constB127, bitIndex1))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16718,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB127)) | v130(constB127, bitIndex1))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16719,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB127)) | v130(constB127, bitIndex1)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16718, 16717])).
% 42.01/27.64 tff(16720,plain,
% 42.01/27.64 (v130(constB127, bitIndex1)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16719, 1788, 16716])).
% 42.01/27.64 tff(16721,assumption,(v71(constB127)), introduced(assumption)).
% 42.01/27.64 tff(16722,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB127))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16723,plain,
% 42.01/27.64 ($false),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16722, 250, 16721])).
% 42.01/27.64 tff(16724,plain,(~v71(constB127)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.64 tff(16725,assumption,(v18(constB128)), introduced(assumption)).
% 42.01/27.64 tff(16726,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB128))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16727,plain,
% 42.01/27.64 ($false),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16726, 138, 16725])).
% 42.01/27.64 tff(16728,plain,(~v18(constB128)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.64 tff(16729,plain,
% 42.01/27.64 (v1(constB128) <=> v1(constB128)),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16730,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 42.01/27.64 tff(16731,plain,
% 42.01/27.64 (v1(constB128)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16730, 16729])).
% 42.01/27.64 tff(16732,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16733,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16734,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16733, 16732])).
% 42.01/27.64 tff(16735,plain,
% 42.01/27.64 (v22(constB128)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16734, 154, 16731])).
% 42.01/27.64 tff(16736,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB128) | (~v22(constB128)) | (~v19(constB128)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB128) | (~v22(constB128)) | (~v19(constB128)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16737,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB128) | (~v22(constB128)) | (~v19(constB128)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16738,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB128) | (~v22(constB128)) | (~v19(constB128))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16737, 16736])).
% 42.01/27.64 tff(16739,plain,
% 42.01/27.64 (v18(constB128) | (~v19(constB128))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16738, 168, 16735])).
% 42.01/27.64 tff(16740,plain,
% 42.01/27.64 (~v19(constB128)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16739, 16728])).
% 42.01/27.64 tff(16741,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16742,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16743,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 42.01/27.64 tff(16744,plain,
% 42.01/27.64 (v13(constB128)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16743, 180, 16740])).
% 42.01/27.64 tff(16745,plain,
% 42.01/27.64 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16746,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 42.01/27.64 tff(16747,plain,
% 42.01/27.64 (nextState(constB127, constB128)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16746, 16745])).
% 42.01/27.64 tff(16748,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16749,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16750,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16749, 16748])).
% 42.01/27.64 tff(16751,plain,
% 42.01/27.64 (v9(constB127) | (~v13(constB128))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16750, 197, 16747])).
% 42.01/27.64 tff(16752,plain,
% 42.01/27.64 (v9(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16751, 16744])).
% 42.01/27.64 tff(16753,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB127)) | v80(constB127))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB127)) | v80(constB127))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16754,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB127)) | v80(constB127))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16755,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB127)) | v80(constB127)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 42.01/27.64 tff(16756,plain,
% 42.01/27.64 (v80(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16755, 209, 16752])).
% 42.01/27.64 tff(16757,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB127) | v78(constB127))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB127) | v78(constB127))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16758,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB127) | v78(constB127))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16759,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB127) | v78(constB127)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16758, 16757])).
% 42.01/27.64 tff(16760,plain,
% 42.01/27.64 (v78(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16759, 223, 16647])).
% 42.01/27.64 tff(16761,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB127) | (~v80(constB127)) | (~v78(constB127)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB127) | (~v80(constB127)) | (~v78(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16762,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB127) | (~v80(constB127)) | (~v78(constB127)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16763,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB127) | (~v80(constB127)) | (~v78(constB127))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16762, 16761])).
% 42.01/27.64 tff(16764,plain,
% 42.01/27.64 (v76(constB127) | (~v80(constB127))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16763, 237, 16760])).
% 42.01/27.64 tff(16765,plain,
% 42.01/27.64 (v76(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16764, 16756])).
% 42.01/27.64 tff(16766,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v72(constB127)) | v71(constB127) | (~v76(constB127)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v72(constB127)) | v71(constB127) | (~v76(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16767,plain,
% 42.01/27.64 ((v71(constB127) | (~v76(constB127)) | (~v72(constB127))) <=> ((~v72(constB127)) | v71(constB127) | (~v76(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16768,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB127) | (~v76(constB127)) | (~v72(constB127)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v72(constB127)) | v71(constB127) | (~v76(constB127))))),
% 42.01/27.64 inference(monotonicity,[status(thm)],[16767])).
% 42.01/27.64 tff(16769,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB127) | (~v76(constB127)) | (~v72(constB127)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v72(constB127)) | v71(constB127) | (~v76(constB127)))),
% 42.01/27.64 inference(transitivity,[status(thm)],[16768, 16766])).
% 42.01/27.64 tff(16770,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB127) | (~v76(constB127)) | (~v72(constB127)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16771,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v72(constB127)) | v71(constB127) | (~v76(constB127))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16770, 16769])).
% 42.01/27.64 tff(16772,plain,
% 42.01/27.64 ((~v72(constB127)) | v71(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16771, 263, 16765])).
% 42.01/27.64 tff(16773,plain,
% 42.01/27.64 (~v72(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16772, 16724])).
% 42.01/27.64 tff(16774,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB127) | v72(constB127) | v74(constB127))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB127) | v72(constB127) | v74(constB127))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16775,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB127) | v72(constB127) | v74(constB127))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16776,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB127) | v72(constB127) | v74(constB127)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16775, 16774])).
% 42.01/27.64 tff(16777,plain,
% 42.01/27.64 (v72(constB127) | v74(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16776, 278, 16647])).
% 42.01/27.64 tff(16778,plain,
% 42.01/27.64 (v74(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16777, 16773])).
% 42.01/27.64 tff(16779,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB127) | v64(constB127) | (~v9(constB127)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB127) | v64(constB127) | (~v9(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16780,plain,
% 42.01/27.64 ((v1(constB127) | (~v9(constB127)) | v64(constB127)) <=> (v1(constB127) | v64(constB127) | (~v9(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16781,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v64(constB127))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB127) | v64(constB127) | (~v9(constB127))))),
% 42.01/27.64 inference(monotonicity,[status(thm)],[16780])).
% 42.01/27.64 tff(16782,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v64(constB127))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB127) | v64(constB127) | (~v9(constB127)))),
% 42.01/27.64 inference(transitivity,[status(thm)],[16781, 16779])).
% 42.01/27.64 tff(16783,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v64(constB127))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16784,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB127) | v64(constB127) | (~v9(constB127))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16783, 16782])).
% 42.01/27.64 tff(16785,plain,
% 42.01/27.64 (v64(constB127) | (~v9(constB127))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16784, 293, 16647])).
% 42.01/27.64 tff(16786,plain,
% 42.01/27.64 (v64(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16785, 16752])).
% 42.01/27.64 tff(16787,assumption,(v26(constB126)), introduced(assumption)).
% 42.01/27.64 tff(16788,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB126))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16789,plain,
% 42.01/27.64 ($false),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16788, 95, 16787])).
% 42.01/27.64 tff(16790,plain,(~v26(constB126)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.64 tff(16791,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB126, constB127)) | v26(constB126) | (~v66(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB126, constB127)) | v26(constB126) | (~v66(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16792,plain,
% 42.01/27.64 ((v26(constB126) | (~nextState(constB126, constB127)) | (~v66(constB127))) <=> ((~nextState(constB126, constB127)) | v26(constB126) | (~v66(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16793,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB126) | (~nextState(constB126, constB127)) | (~v66(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB126, constB127)) | v26(constB126) | (~v66(constB127))))),
% 42.01/27.64 inference(monotonicity,[status(thm)],[16792])).
% 42.01/27.64 tff(16794,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB126) | (~nextState(constB126, constB127)) | (~v66(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB126, constB127)) | v26(constB126) | (~v66(constB127)))),
% 42.01/27.64 inference(transitivity,[status(thm)],[16793, 16791])).
% 42.01/27.64 tff(16795,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB126) | (~nextState(constB126, constB127)) | (~v66(constB127)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16796,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB126, constB127)) | v26(constB126) | (~v66(constB127))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16795, 16794])).
% 42.01/27.64 tff(16797,plain,
% 42.01/27.64 (v26(constB126) | (~v66(constB127))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16796, 318, 16650])).
% 42.01/27.64 tff(16798,plain,
% 42.01/27.64 (~v66(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16797, 16790])).
% 42.01/27.64 tff(16799,plain,
% 42.01/27.64 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB127)) | v66(constB127) | (~v64(constB127)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB127)) | v66(constB127) | (~v64(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16800,plain,
% 42.01/27.64 (((~v64(constB127)) | v66(constB127) | (~v60(constB127))) <=> ((~v60(constB127)) | v66(constB127) | (~v64(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16801,plain,
% 42.01/27.64 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB127)) | v66(constB127) | (~v60(constB127)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB127)) | v66(constB127) | (~v64(constB127))))),
% 42.01/27.64 inference(monotonicity,[status(thm)],[16800])).
% 42.01/27.64 tff(16802,plain,
% 42.01/27.64 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB127)) | v66(constB127) | (~v60(constB127)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB127)) | v66(constB127) | (~v64(constB127)))),
% 42.01/27.64 inference(transitivity,[status(thm)],[16801, 16799])).
% 42.01/27.64 tff(16803,plain,
% 42.01/27.64 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB127)) | v66(constB127) | (~v60(constB127)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16804,plain,
% 42.01/27.64 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB127)) | v66(constB127) | (~v64(constB127))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16803, 16802])).
% 42.01/27.64 tff(16805,plain,
% 42.01/27.64 ((~v60(constB127)) | (~v64(constB127))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16804, 336, 16798])).
% 42.01/27.64 tff(16806,plain,
% 42.01/27.64 (~v60(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16805, 16786])).
% 42.01/27.64 tff(16807,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB127) | (~v26(constB127)) | (~v74(constB127)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB127) | (~v26(constB127)) | (~v74(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16808,plain,
% 42.01/27.64 (((~v26(constB127)) | v60(constB127) | (~v74(constB127))) <=> (v60(constB127) | (~v26(constB127)) | (~v74(constB127)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16809,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB127)) | v60(constB127) | (~v74(constB127)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB127) | (~v26(constB127)) | (~v74(constB127))))),
% 42.01/27.64 inference(monotonicity,[status(thm)],[16808])).
% 42.01/27.64 tff(16810,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB127)) | v60(constB127) | (~v74(constB127)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB127) | (~v26(constB127)) | (~v74(constB127)))),
% 42.01/27.64 inference(transitivity,[status(thm)],[16809, 16807])).
% 42.01/27.64 tff(16811,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB127)) | v60(constB127) | (~v74(constB127)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16812,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB127) | (~v26(constB127)) | (~v74(constB127))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16811, 16810])).
% 42.01/27.64 tff(16813,plain,
% 42.01/27.64 ((~v26(constB127)) | (~v74(constB127))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16812, 354, 16806])).
% 42.01/27.64 tff(16814,plain,
% 42.01/27.64 (~v26(constB127)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16813, 16778])).
% 42.01/27.64 tff(16815,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16816,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16817,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16816, 16815])).
% 42.01/27.64 tff(16818,plain,
% 42.01/27.64 ((~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16817, 1144, 16814])).
% 42.01/27.64 tff(16819,plain,
% 42.01/27.64 (v127(constB127, bitIndex1)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16818, 16720])).
% 42.01/27.64 tff(16820,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16821,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16822,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16821, 16820])).
% 42.01/27.64 tff(16823,plain,
% 42.01/27.64 ((~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16822, 1159, 16747])).
% 42.01/27.64 tff(16824,plain,
% 42.01/27.64 (v129(constB128, bitIndex1)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16823, 16819])).
% 42.01/27.64 tff(16825,assumption,(v120(constB127)), introduced(assumption)).
% 42.01/27.64 tff(16826,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB127)) | (~v130(constB127, bitIndex0)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16827,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex0)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16828,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB127)) | (~v130(constB127, bitIndex0))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16827, 16826])).
% 42.01/27.64 tff(16829,plain,
% 42.01/27.64 (~v130(constB127, bitIndex0)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16828, 1826, 16825])).
% 42.01/27.64 tff(16830,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16831,plain,
% 42.01/27.64 ((v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0))) <=> ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16832,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)))),
% 42.01/27.64 inference(monotonicity,[status(thm)],[16831])).
% 42.01/27.64 tff(16833,plain,
% 42.01/27.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 42.01/27.64 inference(transitivity,[status(thm)],[16832, 16830])).
% 42.01/27.64 tff(16834,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16835,plain,
% 42.01/27.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16834, 16833])).
% 42.01/27.64 tff(16836,plain,
% 42.01/27.64 ((~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16835, 907, 16814])).
% 42.01/27.64 tff(16837,plain,
% 42.01/27.64 (~v127(constB127, bitIndex0)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16836, 16829])).
% 42.01/27.64 tff(16838,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16839,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16840,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16839, 16838])).
% 42.01/27.64 tff(16841,plain,
% 42.01/27.64 (v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16840, 937, 16747])).
% 42.01/27.64 tff(16842,plain,
% 42.01/27.64 (~v129(constB128, bitIndex0)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16841, 16837])).
% 42.01/27.64 tff(16843,assumption,(v90(constB128, bitIndex0)), introduced(assumption)).
% 42.01/27.64 tff(16844,plain,
% 42.01/27.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16845,plain,
% 42.01/27.64 (((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0)) <=> ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16846,plain,
% 42.01/27.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))))),
% 42.01/27.64 inference(monotonicity,[status(thm)],[16845])).
% 42.01/27.64 tff(16847,plain,
% 42.01/27.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 42.01/27.64 inference(transitivity,[status(thm)],[16846, 16844])).
% 42.01/27.64 tff(16848,plain,
% 42.01/27.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16849,plain,
% 42.01/27.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16848, 16847])).
% 42.01/27.64 tff(16850,plain,
% 42.01/27.64 (v129(constB128, bitIndex0) | (~v100(constB128))),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16849, 952, 16843])).
% 42.01/27.64 tff(16851,plain,
% 42.01/27.64 (~v100(constB128)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16850, 16842])).
% 42.01/27.64 tff(16852,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16853,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 42.01/27.64 inference(quant_inst,[status(thm)],[])).
% 42.01/27.64 tff(16854,plain,
% 42.01/27.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 42.01/27.64 inference(modus_ponens,[status(thm)],[16853, 16852])).
% 42.01/27.64 tff(16855,plain,
% 42.01/27.64 (~v104(constB128)),
% 42.01/27.64 inference(unit_resolution,[status(thm)],[16854, 659, 16747, 16647])).
% 42.01/27.64 tff(16856,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16857,plain,
% 42.01/27.64 (((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)) <=> ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 42.01/27.64 inference(rewrite,[status(thm)],[])).
% 42.01/27.64 tff(16858,plain,
% 42.01/27.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128)))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16857])).
% 42.01/27.65 tff(16859,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16858, 16856])).
% 42.01/27.65 tff(16860,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16861,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128)),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16860, 16859])).
% 42.01/27.65 tff(16862,plain,
% 42.01/27.65 (v104(constB128) | v102(constB128)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16861, 673, 16747])).
% 42.01/27.65 tff(16863,plain,
% 42.01/27.65 (v102(constB128)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16862, 16855])).
% 42.01/27.65 tff(16864,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16865,plain,
% 42.01/27.65 (((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))) <=> ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16866,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16865])).
% 42.01/27.65 tff(16867,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16866, 16864])).
% 42.01/27.65 tff(16868,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16869,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16868, 16867])).
% 42.01/27.65 tff(16870,plain,
% 42.01/27.65 (v101(constB128) | (~v102(constB128))),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16869, 694, 16747, 16731])).
% 42.01/27.65 tff(16871,plain,
% 42.01/27.65 (v101(constB128)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16870, 16863])).
% 42.01/27.65 tff(16872,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16873,plain,
% 42.01/27.65 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16874,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16873])).
% 42.01/27.65 tff(16875,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16874, 16872])).
% 42.01/27.65 tff(16876,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16877,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16876, 16875])).
% 42.01/27.65 tff(16878,plain,
% 42.01/27.65 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16877, 712, 16747])).
% 42.01/27.65 tff(16879,plain,
% 42.01/27.65 (v100(constB128) | (~v110(constB128))),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16878, 16871])).
% 42.01/27.65 tff(16880,plain,
% 42.01/27.65 (~v110(constB128)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16879, 16851])).
% 42.01/27.65 tff(16881,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16882,plain,
% 42.01/27.65 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16883,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16882])).
% 42.01/27.65 tff(16884,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16883, 16881])).
% 42.01/27.65 tff(16885,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16886,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16885, 16884])).
% 42.01/27.65 tff(16887,plain,
% 42.01/27.65 (v110(constB128) | (~v108(constB127))),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16886, 731, 16747])).
% 42.01/27.65 tff(16888,plain,
% 42.01/27.65 (~v108(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16887, 16880])).
% 42.01/27.65 tff(16889,assumption,(~v108(constB127)), introduced(assumption)).
% 42.01/27.65 tff(16890,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16891,plain,
% 42.01/27.65 (((~v112(constB127)) | v108(constB127)) <=> (v108(constB127) | (~v112(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16892,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16891])).
% 42.01/27.65 tff(16893,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16892, 16890])).
% 42.01/27.65 tff(16894,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16895,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16894, 16893])).
% 42.01/27.65 tff(16896,plain,
% 42.01/27.65 (~v112(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16895, 746, 16889])).
% 42.01/27.65 tff(16897,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v26(constB127)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v26(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16898,plain,
% 42.01/27.65 (((~v26(constB127)) | v108(constB127)) <=> (v108(constB127) | (~v26(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16899,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v26(constB127))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16898])).
% 42.01/27.65 tff(16900,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v26(constB127)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16899, 16897])).
% 42.01/27.65 tff(16901,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB127)) | v108(constB127))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16902,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v26(constB127))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16901, 16900])).
% 42.01/27.65 tff(16903,plain,
% 42.01/27.65 (~v26(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16902, 1925, 16889])).
% 42.01/27.65 tff(16904,assumption,(v113(constB127)), introduced(assumption)).
% 42.01/27.65 tff(16905,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16906,plain,
% 42.01/27.65 ((v26(constB127) | (~v113(constB127)) | v112(constB127)) <=> (v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16907,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16906])).
% 42.01/27.65 tff(16908,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16907, 16905])).
% 42.01/27.65 tff(16909,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16910,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16909, 16908])).
% 42.01/27.65 tff(16911,plain,
% 42.01/27.65 (v26(constB127) | v112(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16910, 581, 16904])).
% 42.01/27.65 tff(16912,plain,
% 42.01/27.65 ($false),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16911, 16903, 16896])).
% 42.01/27.65 tff(16913,plain,(v108(constB127) | (~v113(constB127))), inference(lemma,lemma(discharge,[]))).
% 42.01/27.65 tff(16914,plain,
% 42.01/27.65 (~v113(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16913, 16888])).
% 42.01/27.65 tff(16915,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16916,plain,
% 42.01/27.65 (((~v114(constB127)) | v113(constB127)) <=> (v113(constB127) | (~v114(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16917,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16916])).
% 42.01/27.65 tff(16918,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16917, 16915])).
% 42.01/27.65 tff(16919,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16920,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16919, 16918])).
% 42.01/27.65 tff(16921,plain,
% 42.01/27.65 (~v114(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16920, 567, 16914])).
% 42.01/27.65 tff(16922,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB127)) | v114(constB127))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16923,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16924,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB127)) | v114(constB127)),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16923, 16922])).
% 42.01/27.65 tff(16925,plain,
% 42.01/27.65 (~v115(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16924, 553, 16921])).
% 42.01/27.65 tff(16926,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB127) | (~v120(constB127)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB127) | (~v120(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16927,plain,
% 42.01/27.65 (((~v120(constB127)) | v118(constB127)) <=> (v118(constB127) | (~v120(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16928,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB127)) | v118(constB127))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB127) | (~v120(constB127))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16927])).
% 42.01/27.65 tff(16929,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB127)) | v118(constB127))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB127) | (~v120(constB127)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16928, 16926])).
% 42.01/27.65 tff(16930,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB127)) | v118(constB127))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16931,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB127) | (~v120(constB127))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 42.01/27.65 tff(16932,plain,
% 42.01/27.65 (v118(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16931, 1630, 16825])).
% 42.01/27.65 tff(16933,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB127) | (~v118(constB127)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB127) | (~v118(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16934,plain,
% 42.01/27.65 (((~v118(constB127)) | v117(constB127)) <=> (v117(constB127) | (~v118(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16935,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB127)) | v117(constB127))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB127) | (~v118(constB127))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16934])).
% 42.01/27.65 tff(16936,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB127)) | v117(constB127))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB127) | (~v118(constB127)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16935, 16933])).
% 42.01/27.65 tff(16937,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB127)) | v117(constB127))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16938,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB127) | (~v118(constB127))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16937, 16936])).
% 42.01/27.65 tff(16939,plain,
% 42.01/27.65 (v117(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16938, 511, 16932])).
% 42.01/27.65 tff(16940,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v117(constB127)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v117(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16941,plain,
% 42.01/27.65 (((~v117(constB127)) | v116(constB127)) <=> (v116(constB127) | (~v117(constB127)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16942,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v117(constB127))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16941])).
% 42.01/27.65 tff(16943,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v117(constB127)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16942, 16940])).
% 42.01/27.65 tff(16944,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB127)) | v116(constB127))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16945,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v117(constB127))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16944, 16943])).
% 42.01/27.65 tff(16946,plain,
% 42.01/27.65 (v116(constB127)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16945, 525, 16939])).
% 42.01/27.65 tff(16947,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB127)) | v115(constB127))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16948,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16949,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB127)) | v115(constB127)),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16948, 16947])).
% 42.01/27.65 tff(16950,plain,
% 42.01/27.65 ($false),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16949, 539, 16946, 16925])).
% 42.01/27.65 tff(16951,plain,((~v120(constB127)) | (~v90(constB128, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.01/27.65 tff(16952,plain,
% 42.01/27.65 (~v90(constB128, bitIndex0)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16951, 16716])).
% 42.01/27.65 tff(16953,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16954,plain,
% 42.01/27.65 (((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0)) <=> ((~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16955,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0)))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16954])).
% 42.01/27.65 tff(16956,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16955, 16953])).
% 42.01/27.65 tff(16957,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB127, constB128)) | (~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16958,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB127, bitIndex0)) | (~nextState(constB127, constB128)) | v100(constB128) | v90(constB128, bitIndex0)),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16957, 16956])).
% 42.01/27.65 tff(16959,plain,
% 42.01/27.65 ((~v90(constB127, bitIndex0)) | v100(constB128) | v90(constB128, bitIndex0)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16958, 1600, 16747])).
% 42.01/27.65 tff(16960,plain,
% 42.01/27.65 (v100(constB128)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16959, 16952, 16711])).
% 42.01/27.65 tff(16961,plain,
% 42.01/27.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16962,plain,
% 42.01/27.65 ((v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16963,plain,
% 42.01/27.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16962])).
% 42.01/27.65 tff(16964,plain,
% 42.01/27.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16963, 16961])).
% 42.01/27.65 tff(16965,plain,
% 42.01/27.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16966,plain,
% 42.01/27.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 42.01/27.65 tff(16967,plain,
% 42.01/27.65 (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1))),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16966, 1174, 16960])).
% 42.01/27.65 tff(16968,plain,
% 42.01/27.65 (v90(constB128, bitIndex1)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16967, 16824])).
% 42.01/27.65 tff(16969,plain,
% 42.01/27.65 ((~v1(constB129)) <=> (~v1(constB129))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16970,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 42.01/27.65 tff(16971,plain,
% 42.01/27.65 (~v1(constB129)),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16970, 16969])).
% 42.01/27.65 tff(16972,plain,
% 42.01/27.65 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16973,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 42.01/27.65 tff(16974,plain,
% 42.01/27.65 (nextState(constB128, constB129)),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 42.01/27.65 tff(16975,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16976,plain,
% 42.01/27.65 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16977,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16976])).
% 42.01/27.65 tff(16978,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16977, 16975])).
% 42.01/27.65 tff(16979,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16980,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16979, 16978])).
% 42.01/27.65 tff(16981,plain,
% 42.01/27.65 (~v101(constB129)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16980, 391, 16974, 16971])).
% 42.01/27.65 tff(16982,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16983,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16984,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16983, 16982])).
% 42.01/27.65 tff(16985,plain,
% 42.01/27.65 (v101(constB129) | (~v100(constB129))),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16984, 408, 16974])).
% 42.01/27.65 tff(16986,plain,
% 42.01/27.65 (~v100(constB129)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16985, 16981])).
% 42.01/27.65 tff(16987,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16988,plain,
% 42.01/27.65 (((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16989,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1)))),
% 42.01/27.65 inference(monotonicity,[status(thm)],[16988])).
% 42.01/27.65 tff(16990,plain,
% 42.01/27.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 42.01/27.65 inference(transitivity,[status(thm)],[16989, 16987])).
% 42.01/27.65 tff(16991,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16992,plain,
% 42.01/27.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1)),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16991, 16990])).
% 42.01/27.65 tff(16993,plain,
% 42.01/27.65 ((~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16992, 1192, 16974])).
% 42.01/27.65 tff(16994,plain,
% 42.01/27.65 ((~v90(constB128, bitIndex1)) | v90(constB129, bitIndex1)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16993, 16986])).
% 42.01/27.65 tff(16995,plain,
% 42.01/27.65 (v90(constB129, bitIndex1)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16994, 16968])).
% 42.01/27.65 tff(16996,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB127)) | (~v130(constB127, bitIndex2)))),
% 42.01/27.65 inference(rewrite,[status(thm)],[])).
% 42.01/27.65 tff(16997,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex2)))),
% 42.01/27.65 inference(quant_inst,[status(thm)],[])).
% 42.01/27.65 tff(16998,plain,
% 42.01/27.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB127)) | (~v130(constB127, bitIndex2))),
% 42.01/27.65 inference(modus_ponens,[status(thm)],[16997, 16996])).
% 42.01/27.65 tff(16999,plain,
% 42.01/27.65 (~v130(constB127, bitIndex2)),
% 42.01/27.65 inference(unit_resolution,[status(thm)],[16998, 1732, 16716])).
% 42.01/27.65 tff(17000,assumption,(v127(constB127, bitIndex2)), introduced(assumption)).
% 42.01/27.65 tff(17001,assumption,(~v130(constB127, bitIndex2)), introduced(assumption)).
% 42.01/27.65 tff(17002,plain,
% 42.01/27.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17003,plain,
% 42.01/27.66 ((v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2))) <=> ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17004,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2)))),
% 42.01/27.66 inference(monotonicity,[status(thm)],[17003])).
% 42.01/27.66 tff(17005,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 42.01/27.66 inference(transitivity,[status(thm)],[17004, 17002])).
% 42.01/27.66 tff(17006,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17007,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 42.01/27.66 tff(17008,plain,
% 42.01/27.66 ((~v127(constB127, bitIndex2)) | v26(constB127)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17007, 1419, 17001])).
% 42.01/27.66 tff(17009,plain,
% 42.01/27.66 (v26(constB127)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17008, 17000])).
% 42.01/27.66 tff(17010,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB127)) | (~v127(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB127)) | (~v127(constB127, bitIndex2)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17011,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB127)) | (~v127(constB127, bitIndex2)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17012,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB127)) | (~v127(constB127, bitIndex2))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17011, 17010])).
% 42.01/27.66 tff(17013,plain,
% 42.01/27.66 ($false),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17012, 9124, 17000, 17009])).
% 42.01/27.66 tff(17014,plain,((~v127(constB127, bitIndex2)) | v130(constB127, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.66 tff(17015,plain,
% 42.01/27.66 (~v127(constB127, bitIndex2)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17014, 16999])).
% 42.01/27.66 tff(17016,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17017,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17018,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17017, 17016])).
% 42.01/27.66 tff(17019,plain,
% 42.01/27.66 (v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17018, 1437, 16747])).
% 42.01/27.66 tff(17020,plain,
% 42.01/27.66 (~v129(constB128, bitIndex2)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17019, 17015])).
% 42.01/27.66 tff(17021,plain,
% 42.01/27.66 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17022,plain,
% 42.01/27.66 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17023,plain,
% 42.01/27.66 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 42.01/27.66 tff(17024,plain,
% 42.01/27.66 ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17023, 1452, 16960])).
% 42.01/27.66 tff(17025,plain,
% 42.01/27.66 (~v90(constB128, bitIndex2)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17024, 17020])).
% 42.01/27.66 tff(17026,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17027,plain,
% 42.01/27.66 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17028,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2))))),
% 42.01/27.66 inference(monotonicity,[status(thm)],[17027])).
% 42.01/27.66 tff(17029,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 42.01/27.66 inference(transitivity,[status(thm)],[17028, 17026])).
% 42.01/27.66 tff(17030,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17031,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17030, 17029])).
% 42.01/27.66 tff(17032,plain,
% 42.01/27.66 (v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17031, 423, 16974])).
% 42.01/27.66 tff(17033,plain,
% 42.01/27.66 (v90(constB128, bitIndex2) | (~v90(constB129, bitIndex2))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17032, 16986])).
% 42.01/27.66 tff(17034,plain,
% 42.01/27.66 (~v90(constB129, bitIndex2)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17033, 17025])).
% 42.01/27.66 tff(17035,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17036,plain,
% 42.01/27.66 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17037,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))))),
% 42.01/27.66 inference(monotonicity,[status(thm)],[17036])).
% 42.01/27.66 tff(17038,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 42.01/27.66 inference(transitivity,[status(thm)],[17037, 17035])).
% 42.01/27.66 tff(17039,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17040,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17039, 17038])).
% 42.01/27.66 tff(17041,plain,
% 42.01/27.66 (v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17040, 465, 16974])).
% 42.01/27.66 tff(17042,plain,
% 42.01/27.66 (v90(constB128, bitIndex0) | (~v90(constB129, bitIndex0))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17041, 16986])).
% 42.01/27.66 tff(17043,plain,
% 42.01/27.66 (~v90(constB129, bitIndex0)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17042, 16952])).
% 42.01/27.66 tff(17044,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17045,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17046,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17045, 17044])).
% 42.01/27.66 tff(17047,plain,
% 42.01/27.66 ((~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17046, 1870, 17043])).
% 42.01/27.66 tff(17048,plain,
% 42.01/27.66 (v121(constB129)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17047, 17034, 16995])).
% 42.01/27.66 tff(17049,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB129)) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB129)) | v130(constB129, bitIndex1))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17050,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB129)) | v130(constB129, bitIndex1))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17051,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB129)) | v130(constB129, bitIndex1)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17050, 17049])).
% 42.01/27.66 tff(17052,plain,
% 42.01/27.66 (v130(constB129, bitIndex1)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17051, 2050, 17048])).
% 42.01/27.66 tff(17053,assumption,(v26(constB129)), introduced(assumption)).
% 42.01/27.66 tff(17054,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17055,plain,
% 42.01/27.66 ($false),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17054, 95, 17053])).
% 42.01/27.66 tff(17056,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.66 tff(17057,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17058,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17059,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17058, 17057])).
% 42.01/27.66 tff(17060,plain,
% 42.01/27.66 ((~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17059, 1144, 17056])).
% 42.01/27.66 tff(17061,plain,
% 42.01/27.66 (v127(constB129, bitIndex1)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17060, 17052])).
% 42.01/27.66 tff(17062,plain,
% 42.01/27.66 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17063,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 42.01/27.66 tff(17064,plain,
% 42.01/27.66 (nextState(constB129, constB130)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17063, 17062])).
% 42.01/27.66 tff(17065,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17066,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17067,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17066, 17065])).
% 42.01/27.66 tff(17068,plain,
% 42.01/27.66 ((~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17067, 1159, 17064])).
% 42.01/27.66 tff(17069,plain,
% 42.01/27.66 (v129(constB130, bitIndex1)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17068, 17061])).
% 42.01/27.66 tff(17070,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB129)) | (~v90(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB129)) | (~v90(constB129, bitIndex1)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17071,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB129)) | (~v90(constB129, bitIndex1)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17072,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB129)) | (~v90(constB129, bitIndex1))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17071, 17070])).
% 42.01/27.66 tff(17073,plain,
% 42.01/27.66 (~v119(constB129)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17072, 1380, 16995])).
% 42.01/27.66 tff(17074,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB129)) | v130(constB129, bitIndex0))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17075,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB129)) | v130(constB129, bitIndex0))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17076,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB129)) | v130(constB129, bitIndex0)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17075, 17074])).
% 42.01/27.66 tff(17077,plain,
% 42.01/27.66 (v130(constB129, bitIndex0)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17076, 2088, 17048])).
% 42.01/27.66 tff(17078,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17079,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17080,plain,
% 42.01/27.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17079, 17078])).
% 42.01/27.66 tff(17081,plain,
% 42.01/27.66 ((~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17080, 1552, 17056])).
% 42.01/27.66 tff(17082,plain,
% 42.01/27.66 (v127(constB129, bitIndex0)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17081, 17077])).
% 42.01/27.66 tff(17083,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17084,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17085,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17084, 17083])).
% 42.01/27.66 tff(17086,plain,
% 42.01/27.66 ((~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17085, 1567, 17064])).
% 42.01/27.66 tff(17087,plain,
% 42.01/27.66 (v129(constB130, bitIndex0)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17086, 17082])).
% 42.01/27.66 tff(17088,assumption,(~v119(constB129)), introduced(assumption)).
% 42.01/27.66 tff(17089,assumption,(~v90(constB130, bitIndex0)), introduced(assumption)).
% 42.01/27.66 tff(17090,assumption,(v129(constB130, bitIndex0)), introduced(assumption)).
% 42.01/27.66 tff(17091,plain,
% 42.01/27.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17092,plain,
% 42.01/27.66 ((v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17093,plain,
% 42.01/27.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))))),
% 42.01/27.66 inference(monotonicity,[status(thm)],[17092])).
% 42.01/27.66 tff(17094,plain,
% 42.01/27.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 42.01/27.66 inference(transitivity,[status(thm)],[17093, 17091])).
% 42.01/27.66 tff(17095,plain,
% 42.01/27.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17096,plain,
% 42.01/27.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17095, 17094])).
% 42.01/27.66 tff(17097,plain,
% 42.01/27.66 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17096, 1582, 17090])).
% 42.01/27.66 tff(17098,plain,
% 42.01/27.66 (~v100(constB130)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17097, 17089])).
% 42.01/27.66 tff(17099,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17100,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17101,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 42.01/27.66 tff(17102,plain,
% 42.01/27.66 (~v104(constB130)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17101, 659, 17064, 16971])).
% 42.01/27.66 tff(17103,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17104,plain,
% 42.01/27.66 (((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)) <=> ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17105,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130)))),
% 42.01/27.66 inference(monotonicity,[status(thm)],[17104])).
% 42.01/27.66 tff(17106,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 42.01/27.66 inference(transitivity,[status(thm)],[17105, 17103])).
% 42.01/27.66 tff(17107,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17108,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17107, 17106])).
% 42.01/27.66 tff(17109,plain,
% 42.01/27.66 (v104(constB130) | v102(constB130)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17108, 673, 17064])).
% 42.01/27.66 tff(17110,plain,
% 42.01/27.66 (v102(constB130)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17109, 17102])).
% 42.01/27.66 tff(17111,plain,
% 42.01/27.66 (v1(constB130) <=> v1(constB130)),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17112,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 42.01/27.66 tff(17113,plain,
% 42.01/27.66 (v1(constB130)),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17112, 17111])).
% 42.01/27.66 tff(17114,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17115,plain,
% 42.01/27.66 (((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))) <=> ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17116,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130))))),
% 42.01/27.66 inference(monotonicity,[status(thm)],[17115])).
% 42.01/27.66 tff(17117,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 42.01/27.66 inference(transitivity,[status(thm)],[17116, 17114])).
% 42.01/27.66 tff(17118,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17119,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17118, 17117])).
% 42.01/27.66 tff(17120,plain,
% 42.01/27.66 (v101(constB130) | (~v102(constB130))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17119, 694, 17064, 17113])).
% 42.01/27.66 tff(17121,plain,
% 42.01/27.66 (v101(constB130)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17120, 17110])).
% 42.01/27.66 tff(17122,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17123,plain,
% 42.01/27.66 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17124,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 42.01/27.66 inference(monotonicity,[status(thm)],[17123])).
% 42.01/27.66 tff(17125,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 42.01/27.66 inference(transitivity,[status(thm)],[17124, 17122])).
% 42.01/27.66 tff(17126,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17127,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17126, 17125])).
% 42.01/27.66 tff(17128,plain,
% 42.01/27.66 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17127, 712, 17064])).
% 42.01/27.66 tff(17129,plain,
% 42.01/27.66 (v100(constB130) | (~v110(constB130))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17128, 17121])).
% 42.01/27.66 tff(17130,plain,
% 42.01/27.66 (~v110(constB130)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17129, 17098])).
% 42.01/27.66 tff(17131,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17132,plain,
% 42.01/27.66 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 42.01/27.66 inference(rewrite,[status(thm)],[])).
% 42.01/27.66 tff(17133,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 42.01/27.66 inference(monotonicity,[status(thm)],[17132])).
% 42.01/27.66 tff(17134,plain,
% 42.01/27.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 42.01/27.66 inference(transitivity,[status(thm)],[17133, 17131])).
% 42.01/27.66 tff(17135,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 42.01/27.66 inference(quant_inst,[status(thm)],[])).
% 42.01/27.66 tff(17136,plain,
% 42.01/27.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 42.01/27.66 inference(modus_ponens,[status(thm)],[17135, 17134])).
% 42.01/27.66 tff(17137,plain,
% 42.01/27.66 (v110(constB130) | (~v108(constB129))),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17136, 731, 17064])).
% 42.01/27.66 tff(17138,plain,
% 42.01/27.66 (~v108(constB129)),
% 42.01/27.66 inference(unit_resolution,[status(thm)],[17137, 17130])).
% 42.01/27.66 tff(17139,plain,
% 42.01/27.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17140,plain,
% 42.01/27.67 (((~v112(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v112(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17141,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129))))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17140])).
% 42.01/27.67 tff(17142,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17141, 17139])).
% 42.01/27.67 tff(17143,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17144,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17143, 17142])).
% 42.01/27.67 tff(17145,plain,
% 42.01/27.67 (~v112(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17144, 746, 17138])).
% 42.01/27.67 tff(17146,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17147,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17148,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129)),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17147, 17146])).
% 42.01/27.67 tff(17149,plain,
% 42.01/27.67 ((~v113(constB129)) | v112(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17148, 581, 17056])).
% 42.01/27.67 tff(17150,plain,
% 42.01/27.67 (~v113(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17149, 17145])).
% 42.01/27.67 tff(17151,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17152,plain,
% 42.01/27.67 (((~v114(constB129)) | v113(constB129)) <=> (v113(constB129) | (~v114(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17153,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129))))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17152])).
% 42.01/27.67 tff(17154,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17153, 17151])).
% 42.01/27.67 tff(17155,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17156,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17155, 17154])).
% 42.01/27.67 tff(17157,plain,
% 42.01/27.67 (~v114(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17156, 567, 17150])).
% 42.01/27.67 tff(17158,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17159,plain,
% 42.01/27.67 (((~v115(constB129)) | v114(constB129)) <=> (v114(constB129) | (~v115(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17160,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129))))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17159])).
% 42.01/27.67 tff(17161,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17160, 17158])).
% 42.01/27.67 tff(17162,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17163,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17162, 17161])).
% 42.01/27.67 tff(17164,plain,
% 42.01/27.67 (~v115(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17163, 553, 17157])).
% 42.01/27.67 tff(17165,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v116(constB129)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v116(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17166,plain,
% 42.01/27.67 (((~v116(constB129)) | v115(constB129)) <=> (v115(constB129) | (~v116(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17167,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v116(constB129))))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17166])).
% 42.01/27.67 tff(17168,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v116(constB129)))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17167, 17165])).
% 42.01/27.67 tff(17169,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17170,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v116(constB129))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17169, 17168])).
% 42.01/27.67 tff(17171,plain,
% 42.01/27.67 (~v116(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17170, 539, 17164])).
% 42.01/27.67 tff(17172,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v117(constB129)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17173,plain,
% 42.01/27.67 (((~v117(constB129)) | v116(constB129)) <=> (v116(constB129) | (~v117(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17174,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v117(constB129))))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17173])).
% 42.01/27.67 tff(17175,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129)))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17174, 17172])).
% 42.01/27.67 tff(17176,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17177,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17176, 17175])).
% 42.01/27.67 tff(17178,plain,
% 42.01/27.67 (~v117(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17177, 525, 17171])).
% 42.01/27.67 tff(17179,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v121(constB129)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v121(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17180,plain,
% 42.01/27.67 (((~v121(constB129)) | v117(constB129)) <=> (v117(constB129) | (~v121(constB129)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17181,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v121(constB129))))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17180])).
% 42.01/27.67 tff(17182,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v121(constB129)))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17181, 17179])).
% 42.01/27.67 tff(17183,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17184,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v121(constB129))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 42.01/27.67 tff(17185,plain,
% 42.01/27.67 (~v121(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17184, 1881, 17178])).
% 42.01/27.67 tff(17186,assumption,(~v123(constB129)), introduced(assumption)).
% 42.01/27.67 tff(17187,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB129, bitIndex0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB129, bitIndex0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex0))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17188,plain,
% 42.01/27.67 (((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex0)) | v100(constB130) | v90(constB130, bitIndex0)) <=> ((~v90(constB129, bitIndex0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex0))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17189,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex0)) | v100(constB130) | v90(constB130, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB129, bitIndex0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex0)))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17188])).
% 42.01/27.67 tff(17190,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex0)) | v100(constB130) | v90(constB130, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB129, bitIndex0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex0))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17189, 17187])).
% 42.01/27.67 tff(17191,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex0)) | v100(constB130) | v90(constB130, bitIndex0))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17192,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB129, bitIndex0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex0)),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 42.01/27.67 tff(17193,plain,
% 42.01/27.67 ((~v90(constB129, bitIndex0)) | v100(constB130) | v90(constB130, bitIndex0)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17192, 1600, 17064])).
% 42.01/27.67 tff(17194,plain,
% 42.01/27.67 (~v90(constB129, bitIndex0)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17193, 17098, 17089])).
% 42.01/27.67 tff(17195,assumption,(~v90(constB129, bitIndex0)), introduced(assumption)).
% 42.01/27.67 tff(17196,assumption,(~v90(constB129, bitIndex1)), introduced(assumption)).
% 42.01/27.67 tff(17197,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17198,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17199,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129)),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17198, 17197])).
% 42.01/27.67 tff(17200,plain,
% 42.01/27.67 (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2))),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17199, 979, 17186])).
% 42.01/27.67 tff(17201,plain,
% 42.01/27.67 (~v90(constB129, bitIndex2)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17200, 17196, 17195])).
% 42.01/27.67 tff(17202,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v119(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v119(constB129))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17203,plain,
% 42.01/27.67 ((v90(constB129, bitIndex0) | v119(constB129) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2)) <=> (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v119(constB129))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17204,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB129, bitIndex0) | v119(constB129) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v119(constB129)))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17203])).
% 42.01/27.67 tff(17205,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB129, bitIndex0) | v119(constB129) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v119(constB129))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17204, 17202])).
% 42.01/27.67 tff(17206,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB129, bitIndex0) | v119(constB129) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17207,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v119(constB129)),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17206, 17205])).
% 42.01/27.67 tff(17208,plain,
% 42.01/27.67 (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17207, 486, 17088])).
% 42.01/27.67 tff(17209,plain,
% 42.01/27.67 ($false),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17208, 17201, 17196, 17195])).
% 42.01/27.67 tff(17210,plain,(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | v119(constB129) | v123(constB129)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.67 tff(17211,plain,
% 42.01/27.67 (v90(constB129, bitIndex1)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17210, 17194, 17088, 17186])).
% 42.01/27.67 tff(17212,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB129)) | v113(constB129))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17213,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB129)) | v113(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17214,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB129)) | v113(constB129)),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17213, 17212])).
% 42.01/27.67 tff(17215,plain,
% 42.01/27.67 (~v125(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17214, 1263, 17150])).
% 42.01/27.67 tff(17216,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | (~v90(constB129, bitIndex2)) | v125(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | (~v90(constB129, bitIndex2)) | v125(constB129))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17217,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | (~v90(constB129, bitIndex2)) | v125(constB129))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17218,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | (~v90(constB129, bitIndex2)) | v125(constB129)),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17217, 17216])).
% 42.01/27.67 tff(17219,plain,
% 42.01/27.67 ((~v90(constB129, bitIndex1)) | (~v90(constB129, bitIndex2)) | v125(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17218, 1252, 17194])).
% 42.01/27.67 tff(17220,plain,
% 42.01/27.67 (~v90(constB129, bitIndex2)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17219, 17211, 17215])).
% 42.01/27.67 tff(17221,plain,
% 42.01/27.67 ((~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17046, 1870, 17194])).
% 42.01/27.67 tff(17222,plain,
% 42.01/27.67 ($false),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17221, 17220, 17211, 17185])).
% 42.01/27.67 tff(17223,plain,(v90(constB130, bitIndex0) | v119(constB129) | v123(constB129) | (~v129(constB130, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.01/27.67 tff(17224,plain,
% 42.01/27.67 (v123(constB129)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17223, 17090, 17089, 17088])).
% 42.01/27.67 tff(17225,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex0) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex0) | (~v129(constB130, bitIndex0)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17226,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex0) | (~v129(constB130, bitIndex0)))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17227,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex0) | (~v129(constB130, bitIndex0))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17226, 17225])).
% 42.01/27.67 tff(17228,plain,
% 42.01/27.67 (v127(constB129, bitIndex0) | (~v129(constB130, bitIndex0))),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17227, 937, 17064])).
% 42.01/27.67 tff(17229,plain,
% 42.01/27.67 (v127(constB129, bitIndex0)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17228, 17090])).
% 42.01/27.67 tff(17230,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB129, bitIndex0)) | v26(constB129) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB129, bitIndex0)) | v26(constB129) | v130(constB129, bitIndex0))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17231,plain,
% 42.01/27.67 ((v26(constB129) | v130(constB129, bitIndex0) | (~v127(constB129, bitIndex0))) <=> ((~v127(constB129, bitIndex0)) | v26(constB129) | v130(constB129, bitIndex0))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17232,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB129) | v130(constB129, bitIndex0) | (~v127(constB129, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB129, bitIndex0)) | v26(constB129) | v130(constB129, bitIndex0)))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17231])).
% 42.01/27.67 tff(17233,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB129) | v130(constB129, bitIndex0) | (~v127(constB129, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB129, bitIndex0)) | v26(constB129) | v130(constB129, bitIndex0))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17232, 17230])).
% 42.01/27.67 tff(17234,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB129) | v130(constB129, bitIndex0) | (~v127(constB129, bitIndex0)))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17235,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB129, bitIndex0)) | v26(constB129) | v130(constB129, bitIndex0)),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 42.01/27.67 tff(17236,plain,
% 42.01/27.67 ((~v127(constB129, bitIndex0)) | v130(constB129, bitIndex0)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17235, 907, 17056])).
% 42.01/27.67 tff(17237,plain,
% 42.01/27.67 (v130(constB129, bitIndex0)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17236, 17229])).
% 42.01/27.67 tff(17238,plain,
% 42.01/27.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB129)) | (~v130(constB129, bitIndex0)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17239,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex0)))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17240,plain,
% 42.01/27.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB129)) | (~v130(constB129, bitIndex0))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17239, 17238])).
% 42.01/27.67 tff(17241,plain,
% 42.01/27.67 ($false),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17240, 1208, 17237, 17224])).
% 42.01/27.67 tff(17242,plain,((~v129(constB130, bitIndex0)) | v90(constB130, bitIndex0) | v119(constB129)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.67 tff(17243,plain,
% 42.01/27.67 (v90(constB130, bitIndex0)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17242, 17087, 17073])).
% 42.01/27.67 tff(17244,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17245,plain,
% 42.01/27.67 (((~nextState(constB129, constB130)) | v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0))) <=> (v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17246,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0))))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17245])).
% 42.01/27.67 tff(17247,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0)))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17246, 17244])).
% 42.01/27.67 tff(17248,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0)))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17249,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB129, bitIndex0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex0))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17248, 17247])).
% 42.01/27.67 tff(17250,plain,
% 42.01/27.67 (v90(constB129, bitIndex0) | v100(constB130) | (~v90(constB130, bitIndex0))),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17249, 465, 17064])).
% 42.01/27.67 tff(17251,plain,
% 42.01/27.67 (v100(constB130)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17250, 17243, 17043])).
% 42.01/27.67 tff(17252,plain,
% 42.01/27.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17253,plain,
% 42.01/27.67 ((v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17254,plain,
% 42.01/27.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130))))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17253])).
% 42.01/27.67 tff(17255,plain,
% 42.01/27.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17254, 17252])).
% 42.01/27.67 tff(17256,plain,
% 42.01/27.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17257,plain,
% 42.01/27.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17256, 17255])).
% 42.01/27.67 tff(17258,plain,
% 42.01/27.67 (v90(constB130, bitIndex1)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17257, 1174, 17251, 17069])).
% 42.01/27.67 tff(17259,plain,
% 42.01/27.67 ((~v1(constB131)) <=> (~v1(constB131))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17260,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 42.01/27.67 tff(17261,plain,
% 42.01/27.67 (~v1(constB131)),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17260, 17259])).
% 42.01/27.67 tff(17262,plain,
% 42.01/27.67 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17263,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 42.01/27.67 tff(17264,plain,
% 42.01/27.67 (nextState(constB130, constB131)),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17263, 17262])).
% 42.01/27.67 tff(17265,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17266,plain,
% 42.01/27.67 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17267,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17266])).
% 42.01/27.67 tff(17268,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17267, 17265])).
% 42.01/27.67 tff(17269,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17270,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17269, 17268])).
% 42.01/27.67 tff(17271,plain,
% 42.01/27.67 (~v101(constB131)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17270, 391, 17264, 17261])).
% 42.01/27.67 tff(17272,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17273,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 42.01/27.67 inference(quant_inst,[status(thm)],[])).
% 42.01/27.67 tff(17274,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 42.01/27.67 inference(modus_ponens,[status(thm)],[17273, 17272])).
% 42.01/27.67 tff(17275,plain,
% 42.01/27.67 (v101(constB131) | (~v100(constB131))),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17274, 408, 17264])).
% 42.01/27.67 tff(17276,plain,
% 42.01/27.67 (~v100(constB131)),
% 42.01/27.67 inference(unit_resolution,[status(thm)],[17275, 17271])).
% 42.01/27.67 tff(17277,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17278,plain,
% 42.01/27.67 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 42.01/27.67 inference(rewrite,[status(thm)],[])).
% 42.01/27.67 tff(17279,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1)))),
% 42.01/27.67 inference(monotonicity,[status(thm)],[17278])).
% 42.01/27.67 tff(17280,plain,
% 42.01/27.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 42.01/27.67 inference(transitivity,[status(thm)],[17279, 17277])).
% 42.01/27.67 tff(17281,plain,
% 42.01/27.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17282,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17281, 17280])).
% 42.01/27.68 tff(17283,plain,
% 42.01/27.68 ((~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17282, 1192, 17264])).
% 42.01/27.68 tff(17284,plain,
% 42.01/27.68 ((~v90(constB130, bitIndex1)) | v90(constB131, bitIndex1)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17283, 17276])).
% 42.01/27.68 tff(17285,plain,
% 42.01/27.68 (v90(constB131, bitIndex1)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17284, 17258])).
% 42.01/27.68 tff(17286,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB129)) | (~v130(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB129)) | (~v130(constB129, bitIndex2)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17287,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB129)) | (~v130(constB129, bitIndex2)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17288,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB129)) | (~v130(constB129, bitIndex2))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 42.01/27.68 tff(17289,plain,
% 42.01/27.68 (~v130(constB129, bitIndex2)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17288, 1990, 17048])).
% 42.01/27.68 tff(17290,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17291,plain,
% 42.01/27.68 ((v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2))) <=> ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17292,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2)))),
% 42.01/27.68 inference(monotonicity,[status(thm)],[17291])).
% 42.01/27.68 tff(17293,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 42.01/27.68 inference(transitivity,[status(thm)],[17292, 17290])).
% 42.01/27.68 tff(17294,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17295,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17294, 17293])).
% 42.01/27.68 tff(17296,plain,
% 42.01/27.68 ((~v127(constB129, bitIndex2)) | v130(constB129, bitIndex2)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17295, 1419, 17056])).
% 42.01/27.68 tff(17297,plain,
% 42.01/27.68 (~v127(constB129, bitIndex2)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17296, 17289])).
% 42.01/27.68 tff(17298,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17299,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17300,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17299, 17298])).
% 42.01/27.68 tff(17301,plain,
% 42.01/27.68 (v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2))),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17300, 1437, 17064])).
% 42.01/27.68 tff(17302,plain,
% 42.01/27.68 (~v129(constB130, bitIndex2)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17301, 17297])).
% 42.01/27.68 tff(17303,plain,
% 42.01/27.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17304,plain,
% 42.01/27.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17305,plain,
% 42.01/27.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17304, 17303])).
% 42.01/27.68 tff(17306,plain,
% 42.01/27.68 (~v90(constB130, bitIndex2)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17305, 1452, 17251, 17302])).
% 42.01/27.68 tff(17307,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17308,plain,
% 42.01/27.68 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17309,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2))))),
% 42.01/27.68 inference(monotonicity,[status(thm)],[17308])).
% 42.01/27.68 tff(17310,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 42.01/27.68 inference(transitivity,[status(thm)],[17309, 17307])).
% 42.01/27.68 tff(17311,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17312,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17311, 17310])).
% 42.01/27.68 tff(17313,plain,
% 42.01/27.68 (v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2))),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17312, 423, 17264])).
% 42.01/27.68 tff(17314,plain,
% 42.01/27.68 (v90(constB130, bitIndex2) | (~v90(constB131, bitIndex2))),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17313, 17276])).
% 42.01/27.68 tff(17315,plain,
% 42.01/27.68 (~v90(constB131, bitIndex2)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17314, 17306])).
% 42.01/27.68 tff(17316,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17317,plain,
% 42.01/27.68 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17318,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)))),
% 42.01/27.68 inference(monotonicity,[status(thm)],[17317])).
% 42.01/27.68 tff(17319,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 42.01/27.68 inference(transitivity,[status(thm)],[17318, 17316])).
% 42.01/27.68 tff(17320,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17321,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17320, 17319])).
% 42.01/27.68 tff(17322,plain,
% 42.01/27.68 ((~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17321, 1600, 17264])).
% 42.01/27.68 tff(17323,plain,
% 42.01/27.68 ((~v90(constB130, bitIndex0)) | v90(constB131, bitIndex0)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17322, 17276])).
% 42.01/27.68 tff(17324,plain,
% 42.01/27.68 (v90(constB131, bitIndex0)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17323, 17243])).
% 42.01/27.68 tff(17325,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17326,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17327,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17326, 17325])).
% 42.01/27.68 tff(17328,plain,
% 42.01/27.68 ((~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17327, 2129, 17324])).
% 42.01/27.68 tff(17329,plain,
% 42.01/27.68 (v122(constB131)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17328, 17315, 17285])).
% 42.01/27.68 tff(17330,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB131)) | (~v130(constB131, bitIndex1)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17331,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex1)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17332,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB131)) | (~v130(constB131, bitIndex1))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17331, 17330])).
% 42.01/27.68 tff(17333,plain,
% 42.01/27.68 (~v130(constB131, bitIndex1)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17332, 2281, 17329])).
% 42.01/27.68 tff(17334,assumption,(v26(constB131)), introduced(assumption)).
% 42.01/27.68 tff(17335,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17336,plain,
% 42.01/27.68 ($false),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17335, 95, 17334])).
% 42.01/27.68 tff(17337,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 42.01/27.68 tff(17338,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17339,plain,
% 42.01/27.68 ((v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1))) <=> ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17340,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1)))),
% 42.01/27.68 inference(monotonicity,[status(thm)],[17339])).
% 42.01/27.68 tff(17341,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 42.01/27.68 inference(transitivity,[status(thm)],[17340, 17338])).
% 42.01/27.68 tff(17342,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17343,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 42.01/27.68 tff(17344,plain,
% 42.01/27.68 ((~v127(constB131, bitIndex1)) | v130(constB131, bitIndex1)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17343, 823, 17337])).
% 42.01/27.68 tff(17345,plain,
% 42.01/27.68 (~v127(constB131, bitIndex1)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17344, 17333])).
% 42.01/27.68 tff(17346,plain,
% 42.01/27.68 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17347,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 42.01/27.68 tff(17348,plain,
% 42.01/27.68 (nextState(constB131, constB132)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17347, 17346])).
% 42.01/27.68 tff(17349,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17350,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17351,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 42.01/27.68 tff(17352,plain,
% 42.01/27.68 (v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1))),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17351, 853, 17348])).
% 42.01/27.68 tff(17353,plain,
% 42.01/27.68 (~v129(constB132, bitIndex1)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17352, 17345])).
% 42.01/27.68 tff(17354,assumption,(v122(constB131)), introduced(assumption)).
% 42.01/27.68 tff(17355,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB131)) | v116(constB131))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17356,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB131)) | v116(constB131))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17357,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB131)) | v116(constB131)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17356, 17355])).
% 42.01/27.68 tff(17358,plain,
% 42.01/27.68 (v116(constB131)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17357, 2140, 17354])).
% 42.01/27.68 tff(17359,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB131)) | v115(constB131))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17360,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17361,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB131)) | v115(constB131)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17360, 17359])).
% 42.01/27.68 tff(17362,plain,
% 42.01/27.68 (v115(constB131)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17361, 539, 17358])).
% 42.01/27.68 tff(17363,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17364,plain,
% 42.01/27.68 (((~v115(constB131)) | v114(constB131)) <=> (v114(constB131) | (~v115(constB131)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17365,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131))))),
% 42.01/27.68 inference(monotonicity,[status(thm)],[17364])).
% 42.01/27.68 tff(17366,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 42.01/27.68 inference(transitivity,[status(thm)],[17365, 17363])).
% 42.01/27.68 tff(17367,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17368,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17367, 17366])).
% 42.01/27.68 tff(17369,plain,
% 42.01/27.68 (v114(constB131)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17368, 553, 17362])).
% 42.01/27.68 tff(17370,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB131)) | (~v130(constB131, bitIndex0)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17371,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex0)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17372,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB131)) | (~v130(constB131, bitIndex0))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17371, 17370])).
% 42.01/27.68 tff(17373,plain,
% 42.01/27.68 (~v130(constB131, bitIndex0)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17372, 2327, 17354])).
% 42.01/27.68 tff(17374,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17375,plain,
% 42.01/27.68 ((v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0))) <=> ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17376,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)))),
% 42.01/27.68 inference(monotonicity,[status(thm)],[17375])).
% 42.01/27.68 tff(17377,plain,
% 42.01/27.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 42.01/27.68 inference(transitivity,[status(thm)],[17376, 17374])).
% 42.01/27.68 tff(17378,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17379,plain,
% 42.01/27.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17378, 17377])).
% 42.01/27.68 tff(17380,plain,
% 42.01/27.68 ((~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17379, 907, 17337])).
% 42.01/27.68 tff(17381,plain,
% 42.01/27.68 (~v127(constB131, bitIndex0)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17380, 17373])).
% 42.01/27.68 tff(17382,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17383,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17384,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17383, 17382])).
% 42.01/27.68 tff(17385,plain,
% 42.01/27.68 (v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17384, 937, 17348])).
% 42.01/27.68 tff(17386,plain,
% 42.01/27.68 (~v129(constB132, bitIndex0)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17385, 17381])).
% 42.01/27.68 tff(17387,assumption,(v90(constB132, bitIndex0)), introduced(assumption)).
% 42.01/27.68 tff(17388,plain,
% 42.01/27.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17389,plain,
% 42.01/27.68 (((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17390,plain,
% 42.01/27.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))))),
% 42.01/27.68 inference(monotonicity,[status(thm)],[17389])).
% 42.01/27.68 tff(17391,plain,
% 42.01/27.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 42.01/27.68 inference(transitivity,[status(thm)],[17390, 17388])).
% 42.01/27.68 tff(17392,plain,
% 42.01/27.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17393,plain,
% 42.01/27.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17392, 17391])).
% 42.01/27.68 tff(17394,plain,
% 42.01/27.68 (v129(constB132, bitIndex0) | (~v100(constB132))),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17393, 952, 17387])).
% 42.01/27.68 tff(17395,plain,
% 42.01/27.68 (~v100(constB132)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17394, 17386])).
% 42.01/27.68 tff(17396,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17397,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17398,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17397, 17396])).
% 42.01/27.68 tff(17399,plain,
% 42.01/27.68 (~v104(constB132)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17398, 659, 17348, 17261])).
% 42.01/27.68 tff(17400,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17401,plain,
% 42.01/27.68 (((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)) <=> ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.68 tff(17402,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132)))),
% 42.01/27.68 inference(monotonicity,[status(thm)],[17401])).
% 42.01/27.68 tff(17403,plain,
% 42.01/27.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 42.01/27.68 inference(transitivity,[status(thm)],[17402, 17400])).
% 42.01/27.68 tff(17404,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 42.01/27.68 inference(quant_inst,[status(thm)],[])).
% 42.01/27.68 tff(17405,plain,
% 42.01/27.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132)),
% 42.01/27.68 inference(modus_ponens,[status(thm)],[17404, 17403])).
% 42.01/27.68 tff(17406,plain,
% 42.01/27.68 (v104(constB132) | v102(constB132)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17405, 673, 17348])).
% 42.01/27.68 tff(17407,plain,
% 42.01/27.68 (v102(constB132)),
% 42.01/27.68 inference(unit_resolution,[status(thm)],[17406, 17399])).
% 42.01/27.68 tff(17408,plain,
% 42.01/27.68 (v1(constB132) <=> v1(constB132)),
% 42.01/27.68 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17409,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 42.01/27.69 tff(17410,plain,
% 42.01/27.69 (v1(constB132)),
% 42.01/27.69 inference(modus_ponens,[status(thm)],[17409, 17408])).
% 42.01/27.69 tff(17411,plain,
% 42.01/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17412,plain,
% 42.01/27.69 (((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))) <=> ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17413,plain,
% 42.01/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132))))),
% 42.01/27.69 inference(monotonicity,[status(thm)],[17412])).
% 42.01/27.69 tff(17414,plain,
% 42.01/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 42.01/27.69 inference(transitivity,[status(thm)],[17413, 17411])).
% 42.01/27.69 tff(17415,plain,
% 42.01/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 42.01/27.69 inference(quant_inst,[status(thm)],[])).
% 42.01/27.69 tff(17416,plain,
% 42.01/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132))),
% 42.01/27.69 inference(modus_ponens,[status(thm)],[17415, 17414])).
% 42.01/27.69 tff(17417,plain,
% 42.01/27.69 (v101(constB132) | (~v102(constB132))),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17416, 694, 17348, 17410])).
% 42.01/27.69 tff(17418,plain,
% 42.01/27.69 (v101(constB132)),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17417, 17407])).
% 42.01/27.69 tff(17419,plain,
% 42.01/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17420,plain,
% 42.01/27.69 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17421,plain,
% 42.01/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 42.01/27.69 inference(monotonicity,[status(thm)],[17420])).
% 42.01/27.69 tff(17422,plain,
% 42.01/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 42.01/27.69 inference(transitivity,[status(thm)],[17421, 17419])).
% 42.01/27.69 tff(17423,plain,
% 42.01/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 42.01/27.69 inference(quant_inst,[status(thm)],[])).
% 42.01/27.69 tff(17424,plain,
% 42.01/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 42.01/27.69 inference(modus_ponens,[status(thm)],[17423, 17422])).
% 42.01/27.69 tff(17425,plain,
% 42.01/27.69 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17424, 712, 17348])).
% 42.01/27.69 tff(17426,plain,
% 42.01/27.69 (v100(constB132) | (~v110(constB132))),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17425, 17418])).
% 42.01/27.69 tff(17427,plain,
% 42.01/27.69 (~v110(constB132)),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17426, 17395])).
% 42.01/27.69 tff(17428,plain,
% 42.01/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17429,plain,
% 42.01/27.69 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17430,plain,
% 42.01/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 42.01/27.69 inference(monotonicity,[status(thm)],[17429])).
% 42.01/27.69 tff(17431,plain,
% 42.01/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 42.01/27.69 inference(transitivity,[status(thm)],[17430, 17428])).
% 42.01/27.69 tff(17432,plain,
% 42.01/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 42.01/27.69 inference(quant_inst,[status(thm)],[])).
% 42.01/27.69 tff(17433,plain,
% 42.01/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 42.01/27.69 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 42.01/27.69 tff(17434,plain,
% 42.01/27.69 (v110(constB132) | (~v108(constB131))),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17433, 731, 17348])).
% 42.01/27.69 tff(17435,plain,
% 42.01/27.69 (~v108(constB131)),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17434, 17427])).
% 42.01/27.69 tff(17436,plain,
% 42.01/27.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17437,plain,
% 42.01/27.69 (((~v112(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v112(constB131)))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17438,plain,
% 42.01/27.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131))))),
% 42.01/27.69 inference(monotonicity,[status(thm)],[17437])).
% 42.01/27.69 tff(17439,plain,
% 42.01/27.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 42.01/27.69 inference(transitivity,[status(thm)],[17438, 17436])).
% 42.01/27.69 tff(17440,plain,
% 42.01/27.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))),
% 42.01/27.69 inference(quant_inst,[status(thm)],[])).
% 42.01/27.69 tff(17441,plain,
% 42.01/27.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131))),
% 42.01/27.69 inference(modus_ponens,[status(thm)],[17440, 17439])).
% 42.01/27.69 tff(17442,plain,
% 42.01/27.69 (~v112(constB131)),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17441, 746, 17435])).
% 42.01/27.69 tff(17443,plain,
% 42.01/27.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17444,plain,
% 42.01/27.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 42.01/27.69 inference(quant_inst,[status(thm)],[])).
% 42.01/27.69 tff(17445,plain,
% 42.01/27.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131)),
% 42.01/27.69 inference(modus_ponens,[status(thm)],[17444, 17443])).
% 42.01/27.69 tff(17446,plain,
% 42.01/27.69 ((~v113(constB131)) | v112(constB131)),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17445, 581, 17337])).
% 42.01/27.69 tff(17447,plain,
% 42.01/27.69 (~v113(constB131)),
% 42.01/27.69 inference(unit_resolution,[status(thm)],[17446, 17442])).
% 42.01/27.69 tff(17448,plain,
% 42.01/27.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB131)) | v113(constB131))),
% 42.01/27.69 inference(rewrite,[status(thm)],[])).
% 42.01/27.69 tff(17449,plain,
% 42.01/27.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))),
% 42.01/27.69 inference(quant_inst,[status(thm)],[])).
% 42.01/27.69 tff(17450,plain,
% 42.01/27.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB131)) | v113(constB131)),
% 42.09/27.69 inference(modus_ponens,[status(thm)],[17449, 17448])).
% 42.09/27.69 tff(17451,plain,
% 42.09/27.69 ($false),
% 42.09/27.69 inference(unit_resolution,[status(thm)],[17450, 567, 17447, 17369])).
% 42.09/27.69 tff(17452,plain,((~v122(constB131)) | (~v90(constB132, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.09/27.69 tff(17453,plain,
% 42.09/27.69 (~v90(constB132, bitIndex0)),
% 42.09/27.69 inference(unit_resolution,[status(thm)],[17452, 17329])).
% 42.09/27.69 tff(17454,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17455,plain,
% 42.09/27.69 (((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0)) <=> ((~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17456,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0)))),
% 42.09/27.69 inference(monotonicity,[status(thm)],[17455])).
% 42.09/27.69 tff(17457,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0))),
% 42.09/27.69 inference(transitivity,[status(thm)],[17456, 17454])).
% 42.09/27.69 tff(17458,plain,
% 42.09/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0))),
% 42.09/27.69 inference(quant_inst,[status(thm)],[])).
% 42.09/27.69 tff(17459,plain,
% 42.09/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB131, bitIndex0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex0)),
% 42.09/27.69 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 42.09/27.69 tff(17460,plain,
% 42.09/27.69 ((~v90(constB131, bitIndex0)) | v100(constB132) | v90(constB132, bitIndex0)),
% 42.09/27.69 inference(unit_resolution,[status(thm)],[17459, 1600, 17348])).
% 42.09/27.69 tff(17461,plain,
% 42.09/27.69 (v100(constB132)),
% 42.09/27.69 inference(unit_resolution,[status(thm)],[17460, 17453, 17324])).
% 42.09/27.69 tff(17462,plain,
% 42.09/27.69 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17463,plain,
% 42.09/27.69 (((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17464,plain,
% 42.09/27.69 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132))))),
% 42.09/27.69 inference(monotonicity,[status(thm)],[17463])).
% 42.09/27.69 tff(17465,plain,
% 42.09/27.69 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 42.09/27.69 inference(transitivity,[status(thm)],[17464, 17462])).
% 42.09/27.69 tff(17466,plain,
% 42.09/27.69 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))),
% 42.09/27.69 inference(quant_inst,[status(thm)],[])).
% 42.09/27.69 tff(17467,plain,
% 42.09/27.69 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132))),
% 42.09/27.69 inference(modus_ponens,[status(thm)],[17466, 17465])).
% 42.09/27.69 tff(17468,plain,
% 42.09/27.69 ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1)),
% 42.09/27.69 inference(unit_resolution,[status(thm)],[17467, 868, 17461])).
% 42.09/27.69 tff(17469,plain,
% 42.09/27.69 (~v90(constB132, bitIndex1)),
% 42.09/27.69 inference(unit_resolution,[status(thm)],[17468, 17353])).
% 42.09/27.69 tff(17470,plain,
% 42.09/27.69 ((~v1(constB133)) <=> (~v1(constB133))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17471,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 42.09/27.69 tff(17472,plain,
% 42.09/27.69 (~v1(constB133)),
% 42.09/27.69 inference(modus_ponens,[status(thm)],[17471, 17470])).
% 42.09/27.69 tff(17473,plain,
% 42.09/27.69 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17474,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 42.09/27.69 tff(17475,plain,
% 42.09/27.69 (nextState(constB132, constB133)),
% 42.09/27.69 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 42.09/27.69 tff(17476,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17477,plain,
% 42.09/27.69 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17478,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 42.09/27.69 inference(monotonicity,[status(thm)],[17477])).
% 42.09/27.69 tff(17479,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 42.09/27.69 inference(transitivity,[status(thm)],[17478, 17476])).
% 42.09/27.69 tff(17480,plain,
% 42.09/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 42.09/27.69 inference(quant_inst,[status(thm)],[])).
% 42.09/27.69 tff(17481,plain,
% 42.09/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 42.09/27.69 inference(modus_ponens,[status(thm)],[17480, 17479])).
% 42.09/27.69 tff(17482,plain,
% 42.09/27.69 (~v101(constB133)),
% 42.09/27.69 inference(unit_resolution,[status(thm)],[17481, 391, 17475, 17472])).
% 42.09/27.69 tff(17483,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17484,plain,
% 42.09/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 42.09/27.69 inference(quant_inst,[status(thm)],[])).
% 42.09/27.69 tff(17485,plain,
% 42.09/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 42.09/27.69 inference(modus_ponens,[status(thm)],[17484, 17483])).
% 42.09/27.69 tff(17486,plain,
% 42.09/27.69 (v101(constB133) | (~v100(constB133))),
% 42.09/27.69 inference(unit_resolution,[status(thm)],[17485, 408, 17475])).
% 42.09/27.69 tff(17487,plain,
% 42.09/27.69 (~v100(constB133)),
% 42.09/27.69 inference(unit_resolution,[status(thm)],[17486, 17482])).
% 42.09/27.69 tff(17488,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17489,plain,
% 42.09/27.69 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 42.09/27.69 inference(rewrite,[status(thm)],[])).
% 42.09/27.69 tff(17490,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1))))),
% 42.09/27.69 inference(monotonicity,[status(thm)],[17489])).
% 42.09/27.69 tff(17491,plain,
% 42.09/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 42.09/27.69 inference(transitivity,[status(thm)],[17490, 17488])).
% 42.10/27.69 tff(17492,plain,
% 42.10/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 42.10/27.69 inference(quant_inst,[status(thm)],[])).
% 42.10/27.69 tff(17493,plain,
% 42.10/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1))),
% 42.10/27.69 inference(modus_ponens,[status(thm)],[17492, 17491])).
% 42.10/27.69 tff(17494,plain,
% 42.10/27.69 (v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1))),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17493, 444, 17475])).
% 42.10/27.69 tff(17495,plain,
% 42.10/27.69 (v90(constB132, bitIndex1) | (~v90(constB133, bitIndex1))),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17494, 17487])).
% 42.10/27.69 tff(17496,plain,
% 42.10/27.69 (~v90(constB133, bitIndex1)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17495, 17469])).
% 42.10/27.69 tff(17497,plain,
% 42.10/27.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB131)) | v130(constB131, bitIndex2))),
% 42.10/27.69 inference(rewrite,[status(thm)],[])).
% 42.10/27.69 tff(17498,plain,
% 42.10/27.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB131)) | v130(constB131, bitIndex2))),
% 42.10/27.69 inference(quant_inst,[status(thm)],[])).
% 42.10/27.69 tff(17499,plain,
% 42.10/27.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB131)) | v130(constB131, bitIndex2)),
% 42.10/27.69 inference(modus_ponens,[status(thm)],[17498, 17497])).
% 42.10/27.69 tff(17500,plain,
% 42.10/27.69 (v130(constB131, bitIndex2)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17499, 2224, 17329])).
% 42.10/27.69 tff(17501,plain,
% 42.10/27.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 42.10/27.69 inference(rewrite,[status(thm)],[])).
% 42.10/27.69 tff(17502,plain,
% 42.10/27.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 42.10/27.69 inference(quant_inst,[status(thm)],[])).
% 42.10/27.69 tff(17503,plain,
% 42.10/27.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 42.10/27.69 inference(modus_ponens,[status(thm)],[17502, 17501])).
% 42.10/27.69 tff(17504,plain,
% 42.10/27.69 ((~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17503, 607, 17337])).
% 42.10/27.69 tff(17505,plain,
% 42.10/27.69 (v127(constB131, bitIndex2)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17504, 17500])).
% 42.10/27.69 tff(17506,plain,
% 42.10/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 42.10/27.69 inference(rewrite,[status(thm)],[])).
% 42.10/27.69 tff(17507,plain,
% 42.10/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 42.10/27.69 inference(quant_inst,[status(thm)],[])).
% 42.10/27.69 tff(17508,plain,
% 42.10/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 42.10/27.69 inference(modus_ponens,[status(thm)],[17507, 17506])).
% 42.10/27.69 tff(17509,plain,
% 42.10/27.69 ((~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17508, 625, 17348])).
% 42.10/27.69 tff(17510,plain,
% 42.10/27.69 (v129(constB132, bitIndex2)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17509, 17505])).
% 42.10/27.69 tff(17511,plain,
% 42.10/27.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 42.10/27.69 inference(rewrite,[status(thm)],[])).
% 42.10/27.69 tff(17512,plain,
% 42.10/27.69 ((v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 42.10/27.69 inference(rewrite,[status(thm)],[])).
% 42.10/27.69 tff(17513,plain,
% 42.10/27.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))))),
% 42.10/27.69 inference(monotonicity,[status(thm)],[17512])).
% 42.10/27.69 tff(17514,plain,
% 42.10/27.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 42.10/27.69 inference(transitivity,[status(thm)],[17513, 17511])).
% 42.10/27.69 tff(17515,plain,
% 42.10/27.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))),
% 42.10/27.69 inference(quant_inst,[status(thm)],[])).
% 42.10/27.69 tff(17516,plain,
% 42.10/27.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 42.10/27.69 inference(modus_ponens,[status(thm)],[17515, 17514])).
% 42.10/27.69 tff(17517,plain,
% 42.10/27.69 (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2))),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17516, 641, 17461])).
% 42.10/27.69 tff(17518,plain,
% 42.10/27.69 (v90(constB132, bitIndex2)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17517, 17510])).
% 42.10/27.69 tff(17519,plain,
% 42.10/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 42.10/27.69 inference(rewrite,[status(thm)],[])).
% 42.10/27.69 tff(17520,plain,
% 42.10/27.69 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)) <=> ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 42.10/27.69 inference(rewrite,[status(thm)],[])).
% 42.10/27.69 tff(17521,plain,
% 42.10/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)))),
% 42.10/27.69 inference(monotonicity,[status(thm)],[17520])).
% 42.10/27.69 tff(17522,plain,
% 42.10/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 42.10/27.69 inference(transitivity,[status(thm)],[17521, 17519])).
% 42.10/27.69 tff(17523,plain,
% 42.10/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))),
% 42.10/27.69 inference(quant_inst,[status(thm)],[])).
% 42.10/27.69 tff(17524,plain,
% 42.10/27.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)),
% 42.10/27.69 inference(modus_ponens,[status(thm)],[17523, 17522])).
% 42.10/27.69 tff(17525,plain,
% 42.10/27.69 ((~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17524, 783, 17475])).
% 42.10/27.69 tff(17526,plain,
% 42.10/27.69 ((~v90(constB132, bitIndex2)) | v90(constB133, bitIndex2)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17525, 17487])).
% 42.10/27.69 tff(17527,plain,
% 42.10/27.69 (v90(constB133, bitIndex2)),
% 42.10/27.69 inference(unit_resolution,[status(thm)],[17526, 17518])).
% 42.10/27.69 tff(17528,plain,
% 42.10/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 42.10/27.69 inference(rewrite,[status(thm)],[])).
% 42.10/27.69 tff(17529,plain,
% 42.10/27.69 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 42.10/27.69 inference(rewrite,[status(thm)],[])).
% 42.10/27.69 tff(17530,plain,
% 42.10/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))))),
% 42.10/27.69 inference(monotonicity,[status(thm)],[17529])).
% 42.10/27.69 tff(17531,plain,
% 42.10/27.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 42.10/27.70 inference(transitivity,[status(thm)],[17530, 17528])).
% 42.10/27.70 tff(17532,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17533,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17532, 17531])).
% 42.10/27.70 tff(17534,plain,
% 42.10/27.70 (v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17533, 465, 17475])).
% 42.10/27.70 tff(17535,plain,
% 42.10/27.70 (v90(constB132, bitIndex0) | (~v90(constB133, bitIndex0))),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17534, 17487])).
% 42.10/27.70 tff(17536,plain,
% 42.10/27.70 (~v90(constB133, bitIndex0)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17535, 17453])).
% 42.10/27.70 tff(17537,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17538,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17539,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17538, 17537])).
% 42.10/27.70 tff(17540,plain,
% 42.10/27.70 (v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17539, 979, 17536])).
% 42.10/27.70 tff(17541,plain,
% 42.10/27.70 (v123(constB133)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17540, 17527, 17496])).
% 42.10/27.70 tff(17542,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB133)) | v115(constB133))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17543,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17544,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB133)) | v115(constB133)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17543, 17542])).
% 42.10/27.70 tff(17545,plain,
% 42.10/27.70 (v115(constB133)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17544, 990, 17541])).
% 42.10/27.70 tff(17546,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB133)) | v114(constB133))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17547,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17548,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB133)) | v114(constB133)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17547, 17546])).
% 42.10/27.70 tff(17549,plain,
% 42.10/27.70 (v114(constB133)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17548, 553, 17545])).
% 42.10/27.70 tff(17550,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB133)) | v113(constB133))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17551,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17552,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB133)) | v113(constB133)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17551, 17550])).
% 42.10/27.70 tff(17553,plain,
% 42.10/27.70 (v113(constB133)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17552, 567, 17549])).
% 42.10/27.70 tff(17554,assumption,(v26(constB133)), introduced(assumption)).
% 42.10/27.70 tff(17555,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17556,plain,
% 42.10/27.70 ($false),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17555, 95, 17554])).
% 42.10/27.70 tff(17557,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 42.10/27.70 tff(17558,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17559,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17560,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | (~v113(constB133)) | v112(constB133)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17559, 17558])).
% 42.10/27.70 tff(17561,plain,
% 42.10/27.70 ((~v113(constB133)) | v112(constB133)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17560, 581, 17557])).
% 42.10/27.70 tff(17562,plain,
% 42.10/27.70 (v112(constB133)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17561, 17553])).
% 42.10/27.70 tff(17563,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17564,plain,
% 42.10/27.70 (((~v112(constB133)) | v108(constB133)) <=> (v108(constB133) | (~v112(constB133)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17565,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133))))),
% 42.10/27.70 inference(monotonicity,[status(thm)],[17564])).
% 42.10/27.70 tff(17566,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 42.10/27.70 inference(transitivity,[status(thm)],[17565, 17563])).
% 42.10/27.70 tff(17567,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17568,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133))),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17567, 17566])).
% 42.10/27.70 tff(17569,plain,
% 42.10/27.70 (v108(constB133)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17568, 746, 17562])).
% 42.10/27.70 tff(17570,plain,
% 42.10/27.70 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17571,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 42.10/27.70 tff(17572,plain,
% 42.10/27.70 (nextState(constB133, constB134)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 42.10/27.70 tff(17573,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17574,plain,
% 42.10/27.70 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17575,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 42.10/27.70 inference(monotonicity,[status(thm)],[17574])).
% 42.10/27.70 tff(17576,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 42.10/27.70 inference(transitivity,[status(thm)],[17575, 17573])).
% 42.10/27.70 tff(17577,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17578,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17577, 17576])).
% 42.10/27.70 tff(17579,plain,
% 42.10/27.70 (v110(constB134) | (~v108(constB133))),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17578, 731, 17572])).
% 42.10/27.70 tff(17580,plain,
% 42.10/27.70 (v110(constB134)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17579, 17569])).
% 42.10/27.70 tff(17581,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17582,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17583,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 42.10/27.70 tff(17584,plain,
% 42.10/27.70 (~v104(constB134)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17583, 659, 17572, 17472])).
% 42.10/27.70 tff(17585,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17586,plain,
% 42.10/27.70 (((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)) <=> ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17587,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134)))),
% 42.10/27.70 inference(monotonicity,[status(thm)],[17586])).
% 42.10/27.70 tff(17588,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 42.10/27.70 inference(transitivity,[status(thm)],[17587, 17585])).
% 42.10/27.70 tff(17589,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17590,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17589, 17588])).
% 42.10/27.70 tff(17591,plain,
% 42.10/27.70 (v104(constB134) | v102(constB134)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17590, 673, 17572])).
% 42.10/27.70 tff(17592,plain,
% 42.10/27.70 (v102(constB134)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17591, 17584])).
% 42.10/27.70 tff(17593,plain,
% 42.10/27.70 (v1(constB134) <=> v1(constB134)),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17594,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 42.10/27.70 tff(17595,plain,
% 42.10/27.70 (v1(constB134)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 42.10/27.70 tff(17596,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17597,plain,
% 42.10/27.70 (((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))) <=> ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17598,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134))))),
% 42.10/27.70 inference(monotonicity,[status(thm)],[17597])).
% 42.10/27.70 tff(17599,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 42.10/27.70 inference(transitivity,[status(thm)],[17598, 17596])).
% 42.10/27.70 tff(17600,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17601,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134))),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17600, 17599])).
% 42.10/27.70 tff(17602,plain,
% 42.10/27.70 (v101(constB134) | (~v102(constB134))),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17601, 694, 17572, 17595])).
% 42.10/27.70 tff(17603,plain,
% 42.10/27.70 (v101(constB134)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17602, 17592])).
% 42.10/27.70 tff(17604,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17605,plain,
% 42.10/27.70 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17606,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 42.10/27.70 inference(monotonicity,[status(thm)],[17605])).
% 42.10/27.70 tff(17607,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 42.10/27.70 inference(transitivity,[status(thm)],[17606, 17604])).
% 42.10/27.70 tff(17608,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17609,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17608, 17607])).
% 42.10/27.70 tff(17610,plain,
% 42.10/27.70 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17609, 712, 17572])).
% 42.10/27.70 tff(17611,plain,
% 42.10/27.70 (v100(constB134) | (~v110(constB134))),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17610, 17603])).
% 42.10/27.70 tff(17612,plain,
% 42.10/27.70 (v100(constB134)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17611, 17580])).
% 42.10/27.70 tff(17613,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB133)) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB133)) | v130(constB133, bitIndex1))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17614,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB133)) | v130(constB133, bitIndex1))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17615,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB133)) | v130(constB133, bitIndex1)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17614, 17613])).
% 42.10/27.70 tff(17616,plain,
% 42.10/27.70 (v130(constB133, bitIndex1)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17615, 1130, 17541])).
% 42.10/27.70 tff(17617,plain,
% 42.10/27.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17618,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17619,plain,
% 42.10/27.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 42.10/27.70 tff(17620,plain,
% 42.10/27.70 ((~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17619, 1144, 17557])).
% 42.10/27.70 tff(17621,plain,
% 42.10/27.70 (v127(constB133, bitIndex1)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17620, 17616])).
% 42.10/27.70 tff(17622,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17623,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17624,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17623, 17622])).
% 42.10/27.70 tff(17625,plain,
% 42.10/27.70 ((~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17624, 1159, 17572])).
% 42.10/27.70 tff(17626,plain,
% 42.10/27.70 (v129(constB134, bitIndex1)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17625, 17621])).
% 42.10/27.70 tff(17627,plain,
% 42.10/27.70 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17628,plain,
% 42.10/27.70 ((v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17629,plain,
% 42.10/27.70 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134))))),
% 42.10/27.70 inference(monotonicity,[status(thm)],[17628])).
% 42.10/27.70 tff(17630,plain,
% 42.10/27.70 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 42.10/27.70 inference(transitivity,[status(thm)],[17629, 17627])).
% 42.10/27.70 tff(17631,plain,
% 42.10/27.70 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17632,plain,
% 42.10/27.70 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134))),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17631, 17630])).
% 42.10/27.70 tff(17633,plain,
% 42.10/27.70 (v90(constB134, bitIndex1) | (~v100(constB134))),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17632, 1174, 17626])).
% 42.10/27.70 tff(17634,plain,
% 42.10/27.70 (v90(constB134, bitIndex1)),
% 42.10/27.70 inference(unit_resolution,[status(thm)],[17633, 17612])).
% 42.10/27.70 tff(17635,plain,
% 42.10/27.70 ((~v1(constB135)) <=> (~v1(constB135))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17636,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 42.10/27.70 tff(17637,plain,
% 42.10/27.70 (~v1(constB135)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17636, 17635])).
% 42.10/27.70 tff(17638,plain,
% 42.10/27.70 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17639,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 42.10/27.70 tff(17640,plain,
% 42.10/27.70 (nextState(constB134, constB135)),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17639, 17638])).
% 42.10/27.70 tff(17641,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17642,plain,
% 42.10/27.70 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 42.10/27.70 inference(rewrite,[status(thm)],[])).
% 42.10/27.70 tff(17643,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 42.10/27.70 inference(monotonicity,[status(thm)],[17642])).
% 42.10/27.70 tff(17644,plain,
% 42.10/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 42.10/27.70 inference(transitivity,[status(thm)],[17643, 17641])).
% 42.10/27.70 tff(17645,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 42.10/27.70 inference(quant_inst,[status(thm)],[])).
% 42.10/27.70 tff(17646,plain,
% 42.10/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 42.10/27.70 inference(modus_ponens,[status(thm)],[17645, 17644])).
% 42.10/27.70 tff(17647,plain,
% 42.11/27.70 (~v101(constB135)),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17646, 391, 17640, 17637])).
% 42.11/27.70 tff(17648,plain,
% 42.11/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 42.11/27.70 inference(rewrite,[status(thm)],[])).
% 42.11/27.70 tff(17649,plain,
% 42.11/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 42.11/27.70 inference(quant_inst,[status(thm)],[])).
% 42.11/27.70 tff(17650,plain,
% 42.11/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 42.11/27.70 inference(modus_ponens,[status(thm)],[17649, 17648])).
% 42.11/27.70 tff(17651,plain,
% 42.11/27.70 (v101(constB135) | (~v100(constB135))),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17650, 408, 17640])).
% 42.11/27.70 tff(17652,plain,
% 42.11/27.70 (~v100(constB135)),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17651, 17647])).
% 42.11/27.70 tff(17653,plain,
% 42.11/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 42.11/27.70 inference(rewrite,[status(thm)],[])).
% 42.11/27.70 tff(17654,plain,
% 42.11/27.70 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 42.11/27.70 inference(rewrite,[status(thm)],[])).
% 42.11/27.70 tff(17655,plain,
% 42.11/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1)))),
% 42.11/27.70 inference(monotonicity,[status(thm)],[17654])).
% 42.11/27.70 tff(17656,plain,
% 42.11/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 42.11/27.70 inference(transitivity,[status(thm)],[17655, 17653])).
% 42.11/27.70 tff(17657,plain,
% 42.11/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1))),
% 42.11/27.70 inference(quant_inst,[status(thm)],[])).
% 42.11/27.70 tff(17658,plain,
% 42.11/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1)),
% 42.11/27.70 inference(modus_ponens,[status(thm)],[17657, 17656])).
% 42.11/27.70 tff(17659,plain,
% 42.11/27.70 ((~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1)),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17658, 1192, 17640])).
% 42.11/27.70 tff(17660,plain,
% 42.11/27.70 ((~v90(constB134, bitIndex1)) | v90(constB135, bitIndex1)),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17659, 17652])).
% 42.11/27.70 tff(17661,plain,
% 42.11/27.70 (v90(constB135, bitIndex1)),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17660, 17634])).
% 42.11/27.70 tff(17662,plain,
% 42.11/27.70 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB135)) | (~v90(constB135, bitIndex1)))),
% 42.11/27.70 inference(rewrite,[status(thm)],[])).
% 42.11/27.70 tff(17663,plain,
% 42.11/27.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex1)))),
% 42.11/27.70 inference(quant_inst,[status(thm)],[])).
% 42.11/27.70 tff(17664,plain,
% 42.11/27.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB135)) | (~v90(constB135, bitIndex1))),
% 42.11/27.70 inference(modus_ponens,[status(thm)],[17663, 17662])).
% 42.11/27.70 tff(17665,plain,
% 42.11/27.70 (~v119(constB135)),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17664, 1380, 17661])).
% 42.11/27.70 tff(17666,plain,
% 42.11/27.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB133)) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB133)) | v130(constB133, bitIndex2))),
% 42.11/27.70 inference(rewrite,[status(thm)],[])).
% 42.11/27.70 tff(17667,plain,
% 42.11/27.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB133)) | v130(constB133, bitIndex2))),
% 42.11/27.70 inference(quant_inst,[status(thm)],[])).
% 42.11/27.70 tff(17668,plain,
% 42.11/27.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB133)) | v130(constB133, bitIndex2)),
% 42.11/27.70 inference(modus_ponens,[status(thm)],[17667, 17666])).
% 42.11/27.70 tff(17669,plain,
% 42.11/27.70 (v130(constB133, bitIndex2)),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17668, 1074, 17541])).
% 42.11/27.70 tff(17670,plain,
% 42.11/27.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))),
% 42.11/27.70 inference(rewrite,[status(thm)],[])).
% 42.11/27.70 tff(17671,plain,
% 42.11/27.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))),
% 42.11/27.70 inference(quant_inst,[status(thm)],[])).
% 42.11/27.70 tff(17672,plain,
% 42.11/27.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2)),
% 42.11/27.70 inference(modus_ponens,[status(thm)],[17671, 17670])).
% 42.11/27.70 tff(17673,plain,
% 42.11/27.70 ((~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2)),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17672, 607, 17557])).
% 42.11/27.70 tff(17674,plain,
% 42.11/27.70 (v127(constB133, bitIndex2)),
% 42.11/27.70 inference(unit_resolution,[status(thm)],[17673, 17669])).
% 42.11/27.70 tff(17675,plain,
% 42.11/27.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))),
% 42.11/27.70 inference(rewrite,[status(thm)],[])).
% 42.11/27.70 tff(17676,plain,
% 42.11/27.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17677,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2)),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17676, 17675])).
% 42.11/27.71 tff(17678,plain,
% 42.11/27.71 ((~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17677, 625, 17572])).
% 42.11/27.71 tff(17679,plain,
% 42.11/27.71 (v129(constB134, bitIndex2)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17678, 17674])).
% 42.11/27.71 tff(17680,plain,
% 42.11/27.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17681,plain,
% 42.11/27.71 ((v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17682,plain,
% 42.11/27.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134))))),
% 42.11/27.71 inference(monotonicity,[status(thm)],[17681])).
% 42.11/27.71 tff(17683,plain,
% 42.11/27.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 42.11/27.71 inference(transitivity,[status(thm)],[17682, 17680])).
% 42.11/27.71 tff(17684,plain,
% 42.11/27.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17685,plain,
% 42.11/27.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17684, 17683])).
% 42.11/27.71 tff(17686,plain,
% 42.11/27.71 (v90(constB134, bitIndex2) | (~v100(constB134))),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17685, 641, 17679])).
% 42.11/27.71 tff(17687,plain,
% 42.11/27.71 (v90(constB134, bitIndex2)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17686, 17612])).
% 42.11/27.71 tff(17688,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17689,plain,
% 42.11/27.71 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2)) <=> ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17690,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2)))),
% 42.11/27.71 inference(monotonicity,[status(thm)],[17689])).
% 42.11/27.71 tff(17691,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 42.11/27.71 inference(transitivity,[status(thm)],[17690, 17688])).
% 42.11/27.71 tff(17692,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17693,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2)),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17692, 17691])).
% 42.11/27.71 tff(17694,plain,
% 42.11/27.71 ((~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17693, 783, 17640])).
% 42.11/27.71 tff(17695,plain,
% 42.11/27.71 ((~v90(constB134, bitIndex2)) | v90(constB135, bitIndex2)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17694, 17652])).
% 42.11/27.71 tff(17696,plain,
% 42.11/27.71 (v90(constB135, bitIndex2)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17695, 17687])).
% 42.11/27.71 tff(17697,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB135)) | (~v90(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB135)) | (~v90(constB135, bitIndex2)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17698,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB135)) | (~v90(constB135, bitIndex2)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17699,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB135)) | (~v90(constB135, bitIndex2))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17698, 17697])).
% 42.11/27.71 tff(17700,plain,
% 42.11/27.71 (~v122(constB135)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17699, 1347, 17696])).
% 42.11/27.71 tff(17701,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB135)) | (~v90(constB135, bitIndex1)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17702,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB135)) | (~v90(constB135, bitIndex1)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17703,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB135)) | (~v90(constB135, bitIndex1))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17702, 17701])).
% 42.11/27.71 tff(17704,plain,
% 42.11/27.71 (~v120(constB135)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17703, 1391, 17661])).
% 42.11/27.71 tff(17705,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB135)) | (~v90(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB135)) | (~v90(constB135, bitIndex2)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17706,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB135)) | (~v90(constB135, bitIndex2)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17707,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB135)) | (~v90(constB135, bitIndex2))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17706, 17705])).
% 42.11/27.71 tff(17708,plain,
% 42.11/27.71 (~v121(constB135)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17707, 1336, 17696])).
% 42.11/27.71 tff(17709,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB135)) | (~v90(constB135, bitIndex1)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17710,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB135)) | (~v90(constB135, bitIndex1)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17711,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB135)) | (~v90(constB135, bitIndex1))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17710, 17709])).
% 42.11/27.71 tff(17712,plain,
% 42.11/27.71 (~v123(constB135)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17711, 1358, 17661])).
% 42.11/27.71 tff(17713,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB135)) | (~v90(constB135, bitIndex1)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17714,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB135)) | (~v90(constB135, bitIndex1)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17715,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB135)) | (~v90(constB135, bitIndex1))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17714, 17713])).
% 42.11/27.71 tff(17716,plain,
% 42.11/27.71 (~v124(constB135)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17715, 1369, 17661])).
% 42.11/27.71 tff(17717,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17718,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17719,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17718, 17717])).
% 42.11/27.71 tff(17720,plain,
% 42.11/27.71 (~v130(constB135, bitIndex1)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17719, 1494, 17716, 17712, 17708, 17704, 17700, 17665])).
% 42.11/27.71 tff(17721,assumption,(v26(constB135)), introduced(assumption)).
% 42.11/27.71 tff(17722,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17723,plain,
% 42.11/27.71 ($false),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17722, 95, 17721])).
% 42.11/27.71 tff(17724,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.71 tff(17725,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17726,plain,
% 42.11/27.71 ((v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1))) <=> ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17727,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1)))),
% 42.11/27.71 inference(monotonicity,[status(thm)],[17726])).
% 42.11/27.71 tff(17728,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 42.11/27.71 inference(transitivity,[status(thm)],[17727, 17725])).
% 42.11/27.71 tff(17729,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17730,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1)),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17729, 17728])).
% 42.11/27.71 tff(17731,plain,
% 42.11/27.71 ((~v127(constB135, bitIndex1)) | v130(constB135, bitIndex1)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17730, 823, 17724])).
% 42.11/27.71 tff(17732,plain,
% 42.11/27.71 (~v127(constB135, bitIndex1)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17731, 17720])).
% 42.11/27.71 tff(17733,plain,
% 42.11/27.71 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17734,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 42.11/27.71 tff(17735,plain,
% 42.11/27.71 (nextState(constB135, constB136)),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17734, 17733])).
% 42.11/27.71 tff(17736,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17737,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17738,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17737, 17736])).
% 42.11/27.71 tff(17739,plain,
% 42.11/27.71 (v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17738, 853, 17735])).
% 42.11/27.71 tff(17740,plain,
% 42.11/27.71 (~v129(constB136, bitIndex1)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17739, 17732])).
% 42.11/27.71 tff(17741,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB133)) | (~v130(constB133, bitIndex0)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17742,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex0)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17743,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB133)) | (~v130(constB133, bitIndex0))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17742, 17741])).
% 42.11/27.71 tff(17744,plain,
% 42.11/27.71 (~v130(constB133, bitIndex0)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17743, 1208, 17541])).
% 42.11/27.71 tff(17745,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17746,plain,
% 42.11/27.71 ((v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0))) <=> ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17747,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0)))),
% 42.11/27.71 inference(monotonicity,[status(thm)],[17746])).
% 42.11/27.71 tff(17748,plain,
% 42.11/27.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 42.11/27.71 inference(transitivity,[status(thm)],[17747, 17745])).
% 42.11/27.71 tff(17749,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17750,plain,
% 42.11/27.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0)),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17749, 17748])).
% 42.11/27.71 tff(17751,plain,
% 42.11/27.71 ((~v127(constB133, bitIndex0)) | v130(constB133, bitIndex0)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17750, 907, 17557])).
% 42.11/27.71 tff(17752,plain,
% 42.11/27.71 (~v127(constB133, bitIndex0)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17751, 17744])).
% 42.11/27.71 tff(17753,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17754,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17755,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17754, 17753])).
% 42.11/27.71 tff(17756,plain,
% 42.11/27.71 (v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17755, 937, 17572])).
% 42.11/27.71 tff(17757,plain,
% 42.11/27.71 (~v129(constB134, bitIndex0)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17756, 17752])).
% 42.11/27.71 tff(17758,plain,
% 42.11/27.71 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17759,plain,
% 42.11/27.71 (((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17760,plain,
% 42.11/27.71 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134))))),
% 42.11/27.71 inference(monotonicity,[status(thm)],[17759])).
% 42.11/27.71 tff(17761,plain,
% 42.11/27.71 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 42.11/27.71 inference(transitivity,[status(thm)],[17760, 17758])).
% 42.11/27.71 tff(17762,plain,
% 42.11/27.71 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17763,plain,
% 42.11/27.71 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17762, 17761])).
% 42.11/27.71 tff(17764,plain,
% 42.11/27.71 ((~v90(constB134, bitIndex0)) | (~v100(constB134))),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17763, 952, 17757])).
% 42.11/27.71 tff(17765,plain,
% 42.11/27.71 (~v90(constB134, bitIndex0)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17764, 17612])).
% 42.11/27.71 tff(17766,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17767,plain,
% 42.11/27.71 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17768,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0))))),
% 42.11/27.71 inference(monotonicity,[status(thm)],[17767])).
% 42.11/27.71 tff(17769,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 42.11/27.71 inference(transitivity,[status(thm)],[17768, 17766])).
% 42.11/27.71 tff(17770,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17771,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17770, 17769])).
% 42.11/27.71 tff(17772,plain,
% 42.11/27.71 (v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17771, 465, 17640])).
% 42.11/27.71 tff(17773,plain,
% 42.11/27.71 (v90(constB134, bitIndex0) | (~v90(constB135, bitIndex0))),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17772, 17652])).
% 42.11/27.71 tff(17774,plain,
% 42.11/27.71 (~v90(constB135, bitIndex0)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17773, 17765])).
% 42.11/27.71 tff(17775,assumption,(~v100(constB136)), introduced(assumption)).
% 42.11/27.71 tff(17776,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17777,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17778,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17777, 17776])).
% 42.11/27.71 tff(17779,plain,
% 42.11/27.71 (~v104(constB136)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17778, 659, 17735, 17637])).
% 42.11/27.71 tff(17780,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17781,plain,
% 42.11/27.71 (((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)) <=> ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17782,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136)))),
% 42.11/27.71 inference(monotonicity,[status(thm)],[17781])).
% 42.11/27.71 tff(17783,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 42.11/27.71 inference(transitivity,[status(thm)],[17782, 17780])).
% 42.11/27.71 tff(17784,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17785,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136)),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17784, 17783])).
% 42.11/27.71 tff(17786,plain,
% 42.11/27.71 (v104(constB136) | v102(constB136)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17785, 673, 17735])).
% 42.11/27.71 tff(17787,plain,
% 42.11/27.71 (v102(constB136)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17786, 17779])).
% 42.11/27.71 tff(17788,plain,
% 42.11/27.71 (v1(constB136) <=> v1(constB136)),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17789,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 42.11/27.71 tff(17790,plain,
% 42.11/27.71 (v1(constB136)),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17789, 17788])).
% 42.11/27.71 tff(17791,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17792,plain,
% 42.11/27.71 (((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))) <=> ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 42.11/27.71 inference(rewrite,[status(thm)],[])).
% 42.11/27.71 tff(17793,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136))))),
% 42.11/27.71 inference(monotonicity,[status(thm)],[17792])).
% 42.11/27.71 tff(17794,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 42.11/27.71 inference(transitivity,[status(thm)],[17793, 17791])).
% 42.11/27.71 tff(17795,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 42.11/27.71 inference(quant_inst,[status(thm)],[])).
% 42.11/27.71 tff(17796,plain,
% 42.11/27.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136))),
% 42.11/27.71 inference(modus_ponens,[status(thm)],[17795, 17794])).
% 42.11/27.71 tff(17797,plain,
% 42.11/27.71 (v101(constB136) | (~v102(constB136))),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17796, 694, 17735, 17790])).
% 42.11/27.71 tff(17798,plain,
% 42.11/27.71 (v101(constB136)),
% 42.11/27.71 inference(unit_resolution,[status(thm)],[17797, 17787])).
% 42.11/27.71 tff(17799,plain,
% 42.11/27.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17800,plain,
% 42.11/27.72 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17801,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17800])).
% 42.11/27.72 tff(17802,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17801, 17799])).
% 42.11/27.72 tff(17803,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17804,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17803, 17802])).
% 42.11/27.72 tff(17805,plain,
% 42.11/27.72 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17804, 712, 17735])).
% 42.11/27.72 tff(17806,plain,
% 42.11/27.72 (v100(constB136) | (~v110(constB136))),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17805, 17798])).
% 42.11/27.72 tff(17807,plain,
% 42.11/27.72 (~v110(constB136)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17806, 17775])).
% 42.11/27.72 tff(17808,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17809,plain,
% 42.11/27.72 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17810,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17809])).
% 42.11/27.72 tff(17811,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17810, 17808])).
% 42.11/27.72 tff(17812,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17813,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17812, 17811])).
% 42.11/27.72 tff(17814,plain,
% 42.11/27.72 (v110(constB136) | (~v108(constB135))),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17813, 731, 17735])).
% 42.11/27.72 tff(17815,plain,
% 42.11/27.72 (~v108(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17814, 17807])).
% 42.11/27.72 tff(17816,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17817,plain,
% 42.11/27.72 (((~v112(constB135)) | v108(constB135)) <=> (v108(constB135) | (~v112(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17818,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17817])).
% 42.11/27.72 tff(17819,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17818, 17816])).
% 42.11/27.72 tff(17820,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17821,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17820, 17819])).
% 42.11/27.72 tff(17822,plain,
% 42.11/27.72 (~v112(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17821, 746, 17815])).
% 42.11/27.72 tff(17823,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | v112(constB135) | (~v113(constB135)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17824,plain,
% 42.11/27.72 ((v26(constB135) | (~v113(constB135)) | v112(constB135)) <=> (v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17825,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | v112(constB135) | (~v113(constB135))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17824])).
% 42.11/27.72 tff(17826,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17825, 17823])).
% 42.11/27.72 tff(17827,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17828,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17827, 17826])).
% 42.11/27.72 tff(17829,plain,
% 42.11/27.72 (v112(constB135) | (~v113(constB135))),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17828, 581, 17724])).
% 42.11/27.72 tff(17830,plain,
% 42.11/27.72 (~v113(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17829, 17822])).
% 42.11/27.72 tff(17831,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v114(constB135)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17832,plain,
% 42.11/27.72 (((~v114(constB135)) | v113(constB135)) <=> (v113(constB135) | (~v114(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17833,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v114(constB135))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17832])).
% 42.11/27.72 tff(17834,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17833, 17831])).
% 42.11/27.72 tff(17835,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17836,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17835, 17834])).
% 42.11/27.72 tff(17837,plain,
% 42.11/27.72 (~v114(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17836, 567, 17830])).
% 42.11/27.72 tff(17838,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17839,plain,
% 42.11/27.72 (((~v115(constB135)) | v114(constB135)) <=> (v114(constB135) | (~v115(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17840,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17839])).
% 42.11/27.72 tff(17841,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17840, 17838])).
% 42.11/27.72 tff(17842,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17843,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17842, 17841])).
% 42.11/27.72 tff(17844,plain,
% 42.11/27.72 (~v115(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17843, 553, 17837])).
% 42.11/27.72 tff(17845,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17846,plain,
% 42.11/27.72 (((~v116(constB135)) | v115(constB135)) <=> (v115(constB135) | (~v116(constB135)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17847,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB135) | (~v116(constB135))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17846])).
% 42.11/27.72 tff(17848,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17847, 17845])).
% 42.11/27.72 tff(17849,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17850,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17849, 17848])).
% 42.11/27.72 tff(17851,plain,
% 42.11/27.72 (~v116(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17850, 539, 17844])).
% 42.11/27.72 tff(17852,assumption,(~v90(constB135, bitIndex0)), introduced(assumption)).
% 42.11/27.72 tff(17853,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB135)) | v90(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB135)) | v90(constB135, bitIndex0))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17854,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB135)) | v90(constB135, bitIndex0))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17855,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB135)) | v90(constB135, bitIndex0)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17854, 17853])).
% 42.11/27.72 tff(17856,plain,
% 42.11/27.72 (~v120(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17855, 10958, 17852])).
% 42.11/27.72 tff(17857,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB135)) | v90(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB135)) | v90(constB135, bitIndex0))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17858,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB135)) | v90(constB135, bitIndex0))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17859,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB135)) | v90(constB135, bitIndex0)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17858, 17857])).
% 42.11/27.72 tff(17860,plain,
% 42.11/27.72 (~v122(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17859, 4538, 17852])).
% 42.11/27.72 tff(17861,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17862,plain,
% 42.11/27.72 (((~nextState(constB135, constB136)) | v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0))) <=> (v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17863,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17862])).
% 42.11/27.72 tff(17864,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17863, 17861])).
% 42.11/27.72 tff(17865,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0)))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17866,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB135, bitIndex0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex0))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17865, 17864])).
% 42.11/27.72 tff(17867,plain,
% 42.11/27.72 (v90(constB135, bitIndex0) | v100(constB136) | (~v90(constB136, bitIndex0))),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17866, 465, 17735])).
% 42.11/27.72 tff(17868,plain,
% 42.11/27.72 (~v90(constB136, bitIndex0)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17867, 17775, 17852])).
% 42.11/27.72 tff(17869,assumption,(~v90(constB136, bitIndex0)), introduced(assumption)).
% 42.11/27.72 tff(17870,assumption,(~v90(constB136, bitIndex1)), introduced(assumption)).
% 42.11/27.72 tff(17871,assumption,(~v90(constB136, bitIndex2)), introduced(assumption)).
% 42.11/27.72 tff(17872,assumption,(~v26(constB135)), introduced(assumption)).
% 42.11/27.72 tff(17873,assumption,(~v127(constB135, bitIndex1)), introduced(assumption)).
% 42.11/27.72 tff(17874,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17875,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17876,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17875, 17874])).
% 42.11/27.72 tff(17877,plain,
% 42.11/27.72 (v26(constB135) | (~v130(constB135, bitIndex1))),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17876, 1144, 17873])).
% 42.11/27.72 tff(17878,plain,
% 42.11/27.72 (~v130(constB135, bitIndex1)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17877, 17872])).
% 42.11/27.72 tff(17879,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17880,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17881,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 42.11/27.72 tff(17882,plain,
% 42.11/27.72 (~v120(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17881, 1788, 17878])).
% 42.11/27.72 tff(17883,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB135)) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB135)) | v130(constB135, bitIndex1))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17884,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB135)) | v130(constB135, bitIndex1))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17885,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB135)) | v130(constB135, bitIndex1)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 42.11/27.72 tff(17886,plain,
% 42.11/27.72 (~v121(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17885, 2050, 17878])).
% 42.11/27.72 tff(17887,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB135)) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB135)) | v130(constB135, bitIndex1))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17888,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB135)) | v130(constB135, bitIndex1))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17889,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB135)) | v130(constB135, bitIndex1)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17888, 17887])).
% 42.11/27.72 tff(17890,plain,
% 42.11/27.72 (~v123(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17889, 1130, 17878])).
% 42.11/27.72 tff(17891,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB135)) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB135)) | v130(constB135, bitIndex1))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17892,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB135)) | v130(constB135, bitIndex1))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17893,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB135)) | v130(constB135, bitIndex1)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17892, 17891])).
% 42.11/27.72 tff(17894,plain,
% 42.11/27.72 (~v124(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17893, 7641, 17878])).
% 42.11/27.72 tff(17895,assumption,(v100(constB136)), introduced(assumption)).
% 42.11/27.72 tff(17896,plain,
% 42.11/27.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17897,plain,
% 42.11/27.72 ((v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17898,plain,
% 42.11/27.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17897])).
% 42.11/27.72 tff(17899,plain,
% 42.11/27.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17898, 17896])).
% 42.11/27.72 tff(17900,plain,
% 42.11/27.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17901,plain,
% 42.11/27.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17900, 17899])).
% 42.11/27.72 tff(17902,plain,
% 42.11/27.72 ((~v129(constB136, bitIndex0)) | (~v100(constB136))),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17901, 1582, 17869])).
% 42.11/27.72 tff(17903,plain,
% 42.11/27.72 (~v129(constB136, bitIndex0)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17902, 17895])).
% 42.11/27.72 tff(17904,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17905,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17906,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17905, 17904])).
% 42.11/27.72 tff(17907,plain,
% 42.11/27.72 ((~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17906, 1567, 17735])).
% 42.11/27.72 tff(17908,plain,
% 42.11/27.72 (~v127(constB135, bitIndex0)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17907, 17903])).
% 42.11/27.72 tff(17909,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17910,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17911,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 42.11/27.72 tff(17912,plain,
% 42.11/27.72 ((~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17911, 1552, 17872])).
% 42.11/27.72 tff(17913,plain,
% 42.11/27.72 (~v130(constB135, bitIndex0)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17912, 17908])).
% 42.11/27.72 tff(17914,plain,
% 42.11/27.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17915,plain,
% 42.11/27.72 ((v90(constB136, bitIndex2) | (~v100(constB136)) | (~v129(constB136, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136)))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17916,plain,
% 42.11/27.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v100(constB136)) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136))))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17915])).
% 42.11/27.72 tff(17917,plain,
% 42.11/27.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v100(constB136)) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136)))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17916, 17914])).
% 42.11/27.72 tff(17918,plain,
% 42.11/27.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v100(constB136)) | (~v129(constB136, bitIndex2)))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17919,plain,
% 42.11/27.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136))),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17918, 17917])).
% 42.11/27.72 tff(17920,plain,
% 42.11/27.72 ((~v129(constB136, bitIndex2)) | (~v100(constB136))),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17919, 641, 17871])).
% 42.11/27.72 tff(17921,plain,
% 42.11/27.72 (~v129(constB136, bitIndex2)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17920, 17895])).
% 42.11/27.72 tff(17922,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17923,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17924,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 42.11/27.72 tff(17925,plain,
% 42.11/27.72 ((~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17924, 625, 17735])).
% 42.11/27.72 tff(17926,plain,
% 42.11/27.72 (~v127(constB135, bitIndex2)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17925, 17921])).
% 42.11/27.72 tff(17927,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB135) | (~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB135) | (~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17928,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB135) | (~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17929,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB135) | (~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17928, 17927])).
% 42.11/27.72 tff(17930,plain,
% 42.11/27.72 ((~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17929, 607, 17872])).
% 42.11/27.72 tff(17931,plain,
% 42.11/27.72 (~v130(constB135, bitIndex2)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17930, 17926])).
% 42.11/27.72 tff(17932,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB135)) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB135)) | v130(constB135, bitIndex2))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17933,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB135)) | v130(constB135, bitIndex2))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17934,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB135)) | v130(constB135, bitIndex2)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17933, 17932])).
% 42.11/27.72 tff(17935,plain,
% 42.11/27.72 (~v122(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17934, 2224, 17931])).
% 42.11/27.72 tff(17936,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB135)) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB135)) | v130(constB135, bitIndex2))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17937,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB135)) | v130(constB135, bitIndex2))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17938,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB135)) | v130(constB135, bitIndex2)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17937, 17936])).
% 42.11/27.72 tff(17939,plain,
% 42.11/27.72 (~v119(constB135)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17938, 593, 17931])).
% 42.11/27.72 tff(17940,assumption,(~v120(constB135)), introduced(assumption)).
% 42.11/27.72 tff(17941,assumption,(~v121(constB135)), introduced(assumption)).
% 42.11/27.72 tff(17942,assumption,(~v123(constB135)), introduced(assumption)).
% 42.11/27.72 tff(17943,assumption,(~v124(constB135)), introduced(assumption)).
% 42.11/27.72 tff(17944,plain,
% 42.11/27.72 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17945,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17946,plain,
% 42.11/27.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17945, 17944])).
% 42.11/27.72 tff(17947,plain,
% 42.11/27.72 (v119(constB135) | v122(constB135) | v130(constB135, bitIndex0)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17946, 1538, 17943, 17942, 17941, 17940])).
% 42.11/27.72 tff(17948,plain,
% 42.11/27.72 ($false),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17947, 17939, 17935, 17913])).
% 42.11/27.72 tff(17949,plain,((~v100(constB136)) | v124(constB135) | v123(constB135) | v121(constB135) | v120(constB135) | v26(constB135) | v90(constB136, bitIndex0) | v90(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.72 tff(17950,plain,
% 42.11/27.72 (~v100(constB136)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17949, 17894, 17890, 17886, 17882, 17872, 17869, 17871])).
% 42.11/27.72 tff(17951,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17952,plain,
% 42.11/27.72 (((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2)) <=> ((~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))),
% 42.11/27.72 inference(rewrite,[status(thm)],[])).
% 42.11/27.72 tff(17953,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2)))),
% 42.11/27.72 inference(monotonicity,[status(thm)],[17952])).
% 42.11/27.72 tff(17954,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))),
% 42.11/27.72 inference(transitivity,[status(thm)],[17953, 17951])).
% 42.11/27.72 tff(17955,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2))),
% 42.11/27.72 inference(quant_inst,[status(thm)],[])).
% 42.11/27.72 tff(17956,plain,
% 42.11/27.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2)),
% 42.11/27.72 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 42.11/27.72 tff(17957,plain,
% 42.11/27.72 ((~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17956, 783, 17735])).
% 42.11/27.72 tff(17958,plain,
% 42.11/27.72 (~v90(constB135, bitIndex2)),
% 42.11/27.72 inference(unit_resolution,[status(thm)],[17957, 17950, 17871])).
% 42.11/27.72 tff(17959,plain,
% 42.11/27.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17960,plain,
% 42.11/27.73 (((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0)) <=> ((~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17961,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0)))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[17960])).
% 42.11/27.73 tff(17962,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))),
% 42.11/27.73 inference(transitivity,[status(thm)],[17961, 17959])).
% 42.11/27.73 tff(17963,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(17964,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0)),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[17963, 17962])).
% 42.11/27.73 tff(17965,plain,
% 42.11/27.73 ((~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17964, 1600, 17735])).
% 42.11/27.73 tff(17966,plain,
% 42.11/27.73 (~v90(constB135, bitIndex0)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17965, 17775, 17869])).
% 42.11/27.73 tff(17967,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17968,plain,
% 42.11/27.73 (((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1)) <=> ((~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17969,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1)))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[17968])).
% 42.11/27.73 tff(17970,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1))),
% 42.11/27.73 inference(transitivity,[status(thm)],[17969, 17967])).
% 42.11/27.73 tff(17971,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(17972,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB135, bitIndex1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex1)),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[17971, 17970])).
% 42.11/27.73 tff(17973,plain,
% 42.11/27.73 ((~v90(constB135, bitIndex1)) | v100(constB136) | v90(constB136, bitIndex1)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17972, 1192, 17735])).
% 42.11/27.73 tff(17974,plain,
% 42.11/27.73 (~v90(constB135, bitIndex1)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17973, 17775, 17870])).
% 42.11/27.73 tff(17975,assumption,(~v90(constB135, bitIndex2)), introduced(assumption)).
% 42.11/27.73 tff(17976,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v119(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v119(constB135))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17977,plain,
% 42.11/27.73 ((v90(constB135, bitIndex0) | v119(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)) <=> (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v119(constB135))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17978,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB135, bitIndex0) | v119(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v119(constB135)))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[17977])).
% 42.11/27.73 tff(17979,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB135, bitIndex0) | v119(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v119(constB135))),
% 42.11/27.73 inference(transitivity,[status(thm)],[17978, 17976])).
% 42.11/27.73 tff(17980,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB135, bitIndex0) | v119(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(17981,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v119(constB135)),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[17980, 17979])).
% 42.11/27.73 tff(17982,plain,
% 42.11/27.73 (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v119(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17981, 486, 17975])).
% 42.11/27.73 tff(17983,plain,
% 42.11/27.73 (v119(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17982, 17974, 17966])).
% 42.11/27.73 tff(17984,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v119(constB135)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v119(constB135)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17985,plain,
% 42.11/27.73 (((~v119(constB135)) | v118(constB135)) <=> (v118(constB135) | (~v119(constB135)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17986,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v119(constB135))))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[17985])).
% 42.11/27.73 tff(17987,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v119(constB135)))),
% 42.11/27.73 inference(transitivity,[status(thm)],[17986, 17984])).
% 42.11/27.73 tff(17988,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB135)) | v118(constB135))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(17989,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v119(constB135))),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[17988, 17987])).
% 42.11/27.73 tff(17990,plain,
% 42.11/27.73 (v118(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17989, 500, 17983])).
% 42.11/27.73 tff(17991,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB135) | (~v118(constB135)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17992,plain,
% 42.11/27.73 (((~v118(constB135)) | v117(constB135)) <=> (v117(constB135) | (~v118(constB135)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17993,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB135) | (~v118(constB135))))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[17992])).
% 42.11/27.73 tff(17994,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135)))),
% 42.11/27.73 inference(transitivity,[status(thm)],[17993, 17991])).
% 42.11/27.73 tff(17995,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(17996,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135))),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[17995, 17994])).
% 42.11/27.73 tff(17997,plain,
% 42.11/27.73 (v117(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17996, 511, 17990])).
% 42.11/27.73 tff(17998,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(17999,plain,
% 42.11/27.73 (((~v117(constB135)) | v116(constB135)) <=> (v116(constB135) | (~v117(constB135)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18000,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135))))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[17999])).
% 42.11/27.73 tff(18001,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 42.11/27.73 inference(transitivity,[status(thm)],[18000, 17998])).
% 42.11/27.73 tff(18002,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18003,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135))),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18002, 18001])).
% 42.11/27.73 tff(18004,plain,
% 42.11/27.73 (v116(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18003, 525, 17997])).
% 42.11/27.73 tff(18005,plain,
% 42.11/27.73 (v112(constB135) | (~v113(constB135))),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17828, 581, 17872])).
% 42.11/27.73 tff(18006,plain,
% 42.11/27.73 (~v113(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18005, 17822])).
% 42.11/27.73 tff(18007,plain,
% 42.11/27.73 (~v114(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17836, 567, 18006])).
% 42.11/27.73 tff(18008,plain,
% 42.11/27.73 (~v115(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17843, 553, 18007])).
% 42.11/27.73 tff(18009,plain,
% 42.11/27.73 ($false),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17850, 539, 18008, 18004])).
% 42.11/27.73 tff(18010,plain,(v100(constB136) | v26(constB135) | v90(constB135, bitIndex2) | v90(constB136, bitIndex1) | v90(constB136, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.73 tff(18011,plain,
% 42.11/27.73 ($false),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18010, 17958, 17950, 17872, 17870, 17869])).
% 42.11/27.73 tff(18012,plain,(v26(constB135) | v90(constB136, bitIndex1) | v90(constB136, bitIndex0) | v90(constB136, bitIndex2) | v127(constB135, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.73 tff(18013,plain,
% 42.11/27.73 (v127(constB135, bitIndex1)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18012, 17871, 17724, 17869, 17870])).
% 42.11/27.73 tff(18014,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18015,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18016,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18015, 18014])).
% 42.11/27.73 tff(18017,plain,
% 42.11/27.73 ((~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18016, 1159, 17735])).
% 42.11/27.73 tff(18018,plain,
% 42.11/27.73 (v129(constB136, bitIndex1)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18017, 18013])).
% 42.11/27.73 tff(18019,plain,
% 42.11/27.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18020,plain,
% 42.11/27.73 ((v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18021,plain,
% 42.11/27.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[18020])).
% 42.11/27.73 tff(18022,plain,
% 42.11/27.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 42.11/27.73 inference(transitivity,[status(thm)],[18021, 18019])).
% 42.11/27.73 tff(18023,plain,
% 42.11/27.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18024,plain,
% 42.11/27.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18023, 18022])).
% 42.11/27.73 tff(18025,plain,
% 42.11/27.73 ((~v129(constB136, bitIndex1)) | (~v100(constB136))),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18024, 1174, 17870])).
% 42.11/27.73 tff(18026,plain,
% 42.11/27.73 (~v100(constB136)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18025, 18018])).
% 42.11/27.73 tff(18027,plain,
% 42.11/27.73 (~v90(constB135, bitIndex2)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17957, 18026, 17871])).
% 42.11/27.73 tff(18028,plain,
% 42.11/27.73 ($false),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18010, 18027, 18026, 17724, 17870, 17869])).
% 42.11/27.73 tff(18029,plain,(v90(constB136, bitIndex2) | v90(constB136, bitIndex1) | v90(constB136, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.73 tff(18030,plain,
% 42.11/27.73 (v90(constB136, bitIndex2)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18029, 17870, 17869])).
% 42.11/27.73 tff(18031,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18032,plain,
% 42.11/27.73 (((~nextState(constB135, constB136)) | v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2))) <=> (v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18033,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2))))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[18032])).
% 42.11/27.73 tff(18034,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2)))),
% 42.11/27.73 inference(transitivity,[status(thm)],[18033, 18031])).
% 42.11/27.73 tff(18035,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2)))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18036,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB135, bitIndex2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex2))),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18035, 18034])).
% 42.11/27.73 tff(18037,plain,
% 42.11/27.73 (v90(constB135, bitIndex2) | v100(constB136) | (~v90(constB136, bitIndex2))),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18036, 423, 17735])).
% 42.11/27.73 tff(18038,plain,
% 42.11/27.73 (v90(constB135, bitIndex2)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18037, 17775, 18030])).
% 42.11/27.73 tff(18039,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v123(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v123(constB135))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18040,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v123(constB135))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18041,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | v123(constB135)),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18040, 18039])).
% 42.11/27.73 tff(18042,plain,
% 42.11/27.73 (v123(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18041, 979, 17966, 17974, 18038])).
% 42.11/27.73 tff(18043,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB135)) | v115(constB135))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18044,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB135)) | v115(constB135))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18045,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB135)) | v115(constB135)),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18044, 18043])).
% 42.11/27.73 tff(18046,plain,
% 42.11/27.73 (v115(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18045, 990, 18042])).
% 42.11/27.73 tff(18047,plain,
% 42.11/27.73 ($false),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17843, 553, 18046, 17837])).
% 42.11/27.73 tff(18048,plain,(v100(constB136) | v90(constB136, bitIndex1) | v90(constB136, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.73 tff(18049,plain,
% 42.11/27.73 (v90(constB136, bitIndex1)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18048, 17868, 17775])).
% 42.11/27.73 tff(18050,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18051,plain,
% 42.11/27.73 (((~nextState(constB135, constB136)) | v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1))) <=> (v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18052,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1))))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[18051])).
% 42.11/27.73 tff(18053,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1)))),
% 42.11/27.73 inference(transitivity,[status(thm)],[18052, 18050])).
% 42.11/27.73 tff(18054,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1)))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18055,plain,
% 42.11/27.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB135, bitIndex1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, bitIndex1))),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 42.11/27.73 tff(18056,plain,
% 42.11/27.73 (v90(constB135, bitIndex1) | v100(constB136) | (~v90(constB136, bitIndex1))),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18055, 444, 17735])).
% 42.11/27.73 tff(18057,plain,
% 42.11/27.73 (v90(constB135, bitIndex1)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18056, 18049, 17775])).
% 42.11/27.73 tff(18058,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v125(constB135)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v125(constB135)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18059,plain,
% 42.11/27.73 (((~v125(constB135)) | v113(constB135)) <=> (v113(constB135) | (~v125(constB135)))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18060,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v125(constB135))))),
% 42.11/27.73 inference(monotonicity,[status(thm)],[18059])).
% 42.11/27.73 tff(18061,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v125(constB135)))),
% 42.11/27.73 inference(transitivity,[status(thm)],[18060, 18058])).
% 42.11/27.73 tff(18062,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB135)) | v113(constB135))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18063,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v125(constB135))),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18062, 18061])).
% 42.11/27.73 tff(18064,plain,
% 42.11/27.73 (~v125(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18063, 1263, 17830])).
% 42.11/27.73 tff(18065,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18066,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18067,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135)),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18066, 18065])).
% 42.11/27.73 tff(18068,plain,
% 42.11/27.73 ((~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18067, 1252, 17852])).
% 42.11/27.73 tff(18069,plain,
% 42.11/27.73 (~v90(constB135, bitIndex2)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18068, 18064, 18057])).
% 42.11/27.73 tff(18070,assumption,(~v90(constB135, bitIndex1)), introduced(assumption)).
% 42.11/27.73 tff(18071,plain,
% 42.11/27.73 (~v90(constB134, bitIndex1)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17660, 18070])).
% 42.11/27.73 tff(18072,plain,
% 42.11/27.73 (~v90(constB134, bitIndex2)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[17695, 17975])).
% 42.11/27.73 tff(18073,plain,
% 42.11/27.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 42.11/27.73 inference(rewrite,[status(thm)],[])).
% 42.11/27.73 tff(18074,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 42.11/27.73 inference(quant_inst,[status(thm)],[])).
% 42.11/27.73 tff(18075,plain,
% 42.11/27.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)),
% 42.11/27.73 inference(modus_ponens,[status(thm)],[18074, 18073])).
% 42.11/27.73 tff(18076,plain,
% 42.11/27.73 ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18075, 1619, 17940])).
% 42.11/27.73 tff(18077,plain,
% 42.11/27.73 (~v90(constB135, bitIndex0)),
% 42.11/27.73 inference(unit_resolution,[status(thm)],[18076, 18070, 17975])).
% 42.11/27.73 tff(18078,plain,
% 42.11/27.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18079,plain,
% 42.11/27.74 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18080,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)))),
% 42.11/27.74 inference(monotonicity,[status(thm)],[18079])).
% 42.11/27.74 tff(18081,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 42.11/27.74 inference(transitivity,[status(thm)],[18080, 18078])).
% 42.11/27.74 tff(18082,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18083,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18082, 18081])).
% 42.11/27.74 tff(18084,plain,
% 42.11/27.74 ((~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18083, 1600, 17640])).
% 42.11/27.74 tff(18085,plain,
% 42.11/27.74 ((~v90(constB134, bitIndex0)) | v90(constB135, bitIndex0)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18084, 17652])).
% 42.11/27.74 tff(18086,plain,
% 42.11/27.74 (~v90(constB134, bitIndex0)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18085, 18077])).
% 42.11/27.74 tff(18087,assumption,(~v90(constB134, bitIndex1)), introduced(assumption)).
% 42.11/27.74 tff(18088,assumption,(~v90(constB134, bitIndex0)), introduced(assumption)).
% 42.11/27.74 tff(18089,assumption,(~v90(constB132, bitIndex1)), introduced(assumption)).
% 42.11/27.74 tff(18090,assumption,(~v100(constB130)), introduced(assumption)).
% 42.11/27.74 tff(18091,plain,
% 42.11/27.74 (~v110(constB130)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17129, 18090])).
% 42.11/27.74 tff(18092,plain,
% 42.11/27.74 (~v108(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17137, 18091])).
% 42.11/27.74 tff(18093,plain,
% 42.11/27.74 (~v112(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17144, 746, 18092])).
% 42.11/27.74 tff(18094,plain,
% 42.11/27.74 (~v113(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17149, 18093])).
% 42.11/27.74 tff(18095,plain,
% 42.11/27.74 (~v114(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17156, 567, 18094])).
% 42.11/27.74 tff(18096,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB129)) | v114(constB129))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18097,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB129)) | v114(constB129))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18098,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB129)) | v114(constB129)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18097, 18096])).
% 42.11/27.74 tff(18099,plain,
% 42.11/27.74 (~v124(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18098, 15276, 18095])).
% 42.11/27.74 tff(18100,plain,
% 42.11/27.74 (~v115(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17163, 553, 18095])).
% 42.11/27.74 tff(18101,plain,
% 42.11/27.74 (~v116(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17170, 539, 18100])).
% 42.11/27.74 tff(18102,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v122(constB129)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v122(constB129)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18103,plain,
% 42.11/27.74 (((~v122(constB129)) | v116(constB129)) <=> (v116(constB129) | (~v122(constB129)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18104,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v122(constB129))))),
% 42.11/27.74 inference(monotonicity,[status(thm)],[18103])).
% 42.11/27.74 tff(18105,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v122(constB129)))),
% 42.11/27.74 inference(transitivity,[status(thm)],[18104, 18102])).
% 42.11/27.74 tff(18106,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB129)) | v116(constB129))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18107,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v122(constB129))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18106, 18105])).
% 42.11/27.74 tff(18108,plain,
% 42.11/27.74 (~v122(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18107, 2140, 18101])).
% 42.11/27.74 tff(18109,assumption,(v123(constB129)), introduced(assumption)).
% 42.11/27.74 tff(18110,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB129)) | v115(constB129))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18111,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18112,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB129)) | v115(constB129)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18111, 18110])).
% 42.11/27.74 tff(18113,plain,
% 42.11/27.74 (v115(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18112, 990, 18109])).
% 42.11/27.74 tff(18114,plain,
% 42.11/27.74 (v114(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17163, 553, 18113])).
% 42.11/27.74 tff(18115,plain,
% 42.11/27.74 (v113(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17156, 567, 18114])).
% 42.11/27.74 tff(18116,plain,
% 42.11/27.74 (v112(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17149, 18115])).
% 42.11/27.74 tff(18117,plain,
% 42.11/27.74 (v108(constB129)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17144, 746, 18116])).
% 42.11/27.74 tff(18118,plain,
% 42.11/27.74 (v110(constB130)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17137, 18117])).
% 42.11/27.74 tff(18119,plain,
% 42.11/27.74 (v100(constB130)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17129, 18118])).
% 42.11/27.74 tff(18120,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18121,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18122,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18121, 18120])).
% 42.11/27.74 tff(18123,plain,
% 42.11/27.74 (v130(constB129, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18122, 1074, 18109])).
% 42.11/27.74 tff(18124,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18125,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18126,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18125, 18124])).
% 42.11/27.74 tff(18127,plain,
% 42.11/27.74 ((~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18126, 607, 17056])).
% 42.11/27.74 tff(18128,plain,
% 42.11/27.74 (v127(constB129, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18127, 18123])).
% 42.11/27.74 tff(18129,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18130,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18131,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18130, 18129])).
% 42.11/27.74 tff(18132,plain,
% 42.11/27.74 ((~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18131, 625, 17064])).
% 42.11/27.74 tff(18133,plain,
% 42.11/27.74 (v129(constB130, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18132, 18128])).
% 42.11/27.74 tff(18134,plain,
% 42.11/27.74 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18135,plain,
% 42.11/27.74 ((v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18136,plain,
% 42.11/27.74 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))))),
% 42.11/27.74 inference(monotonicity,[status(thm)],[18135])).
% 42.11/27.74 tff(18137,plain,
% 42.11/27.74 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 42.11/27.74 inference(transitivity,[status(thm)],[18136, 18134])).
% 42.11/27.74 tff(18138,plain,
% 42.11/27.74 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18139,plain,
% 42.11/27.74 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 42.11/27.74 tff(18140,plain,
% 42.11/27.74 (v90(constB130, bitIndex2) | (~v100(constB130))),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18139, 641, 18133])).
% 42.11/27.74 tff(18141,plain,
% 42.11/27.74 (v90(constB130, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18140, 18119])).
% 42.11/27.74 tff(18142,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18143,plain,
% 42.11/27.74 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)) <=> ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18144,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)))),
% 42.11/27.74 inference(monotonicity,[status(thm)],[18143])).
% 42.11/27.74 tff(18145,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 42.11/27.74 inference(transitivity,[status(thm)],[18144, 18142])).
% 42.11/27.74 tff(18146,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18147,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18146, 18145])).
% 42.11/27.74 tff(18148,plain,
% 42.11/27.74 ((~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18147, 783, 17264])).
% 42.11/27.74 tff(18149,plain,
% 42.11/27.74 ((~v90(constB130, bitIndex2)) | v90(constB131, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18148, 17276])).
% 42.11/27.74 tff(18150,plain,
% 42.11/27.74 (v90(constB131, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18149, 18141])).
% 42.11/27.74 tff(18151,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB129)) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB129)) | v130(constB129, bitIndex1))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18152,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB129)) | v130(constB129, bitIndex1))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18153,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB129)) | v130(constB129, bitIndex1)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18152, 18151])).
% 42.11/27.74 tff(18154,plain,
% 42.11/27.74 (v130(constB129, bitIndex1)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18153, 1130, 18109])).
% 42.11/27.74 tff(18155,plain,
% 42.11/27.74 (v127(constB129, bitIndex1)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17060, 18154])).
% 42.11/27.74 tff(18156,plain,
% 42.11/27.74 (v129(constB130, bitIndex1)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17068, 18155])).
% 42.11/27.74 tff(18157,plain,
% 42.11/27.74 (v90(constB130, bitIndex1) | (~v100(constB130))),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17257, 1174, 18156])).
% 42.11/27.74 tff(18158,plain,
% 42.11/27.74 (v90(constB130, bitIndex1)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18157, 18119])).
% 42.11/27.74 tff(18159,plain,
% 42.11/27.74 (v90(constB131, bitIndex1)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17284, 18158])).
% 42.11/27.74 tff(18160,plain,
% 42.11/27.74 (~v130(constB129, bitIndex0)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17240, 1208, 18109])).
% 42.11/27.74 tff(18161,plain,
% 42.11/27.74 (~v127(constB129, bitIndex0)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17236, 18160])).
% 42.11/27.74 tff(18162,plain,
% 42.11/27.74 (~v129(constB130, bitIndex0)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17228, 18161])).
% 42.11/27.74 tff(18163,plain,
% 42.11/27.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | v129(constB130, bitIndex0) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | v129(constB130, bitIndex0) | (~v100(constB130)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18164,plain,
% 42.11/27.74 (((~v90(constB130, bitIndex0)) | (~v100(constB130)) | v129(constB130, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | v129(constB130, bitIndex0) | (~v100(constB130)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18165,plain,
% 42.11/27.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~v100(constB130)) | v129(constB130, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | v129(constB130, bitIndex0) | (~v100(constB130))))),
% 42.11/27.74 inference(monotonicity,[status(thm)],[18164])).
% 42.11/27.74 tff(18166,plain,
% 42.11/27.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~v100(constB130)) | v129(constB130, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | v129(constB130, bitIndex0) | (~v100(constB130)))),
% 42.11/27.74 inference(transitivity,[status(thm)],[18165, 18163])).
% 42.11/27.74 tff(18167,plain,
% 42.11/27.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~v100(constB130)) | v129(constB130, bitIndex0))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18168,plain,
% 42.11/27.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | v129(constB130, bitIndex0) | (~v100(constB130))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18167, 18166])).
% 42.11/27.74 tff(18169,plain,
% 42.11/27.74 ((~v90(constB130, bitIndex0)) | (~v100(constB130))),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18168, 952, 18162])).
% 42.11/27.74 tff(18170,plain,
% 42.11/27.74 (~v90(constB130, bitIndex0)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18169, 18119])).
% 42.11/27.74 tff(18171,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex0)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18172,plain,
% 42.11/27.74 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex0) | v100(constB131) | (~v90(constB131, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex0)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18173,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex0) | v100(constB131) | (~v90(constB131, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex0))))),
% 42.11/27.74 inference(monotonicity,[status(thm)],[18172])).
% 42.11/27.74 tff(18174,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex0) | v100(constB131) | (~v90(constB131, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex0)))),
% 42.11/27.74 inference(transitivity,[status(thm)],[18173, 18171])).
% 42.11/27.74 tff(18175,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex0) | v100(constB131) | (~v90(constB131, bitIndex0)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18176,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex0))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18175, 18174])).
% 42.11/27.74 tff(18177,plain,
% 42.11/27.74 (v90(constB130, bitIndex0) | v100(constB131) | (~v90(constB131, bitIndex0))),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18176, 465, 17264])).
% 42.11/27.74 tff(18178,plain,
% 42.11/27.74 (v90(constB130, bitIndex0) | (~v90(constB131, bitIndex0))),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18177, 17276])).
% 42.11/27.74 tff(18179,plain,
% 42.11/27.74 (~v90(constB131, bitIndex0)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18178, 18170])).
% 42.11/27.74 tff(18180,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex2)) | v125(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex2)) | v125(constB131))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18181,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex2)) | v125(constB131))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18182,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex2)) | v125(constB131)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18181, 18180])).
% 42.11/27.74 tff(18183,plain,
% 42.11/27.74 (v125(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18182, 1252, 18179, 18159, 18150])).
% 42.11/27.74 tff(18184,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB131)) | v113(constB131))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18185,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB131)) | v113(constB131))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18186,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB131)) | v113(constB131)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 42.11/27.74 tff(18187,plain,
% 42.11/27.74 (v113(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18186, 1263, 18183])).
% 42.11/27.74 tff(18188,plain,
% 42.11/27.74 (v112(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17446, 18187])).
% 42.11/27.74 tff(18189,plain,
% 42.11/27.74 (v108(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17441, 746, 18188])).
% 42.11/27.74 tff(18190,plain,
% 42.11/27.74 (v110(constB132)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17434, 18189])).
% 42.11/27.74 tff(18191,plain,
% 42.11/27.74 (v100(constB132)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[17426, 18190])).
% 42.11/27.74 tff(18192,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB131)) | (~v90(constB131, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB131)) | (~v90(constB131, bitIndex2)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18193,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB131)) | (~v90(constB131, bitIndex2)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18194,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB131)) | (~v90(constB131, bitIndex2))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18193, 18192])).
% 42.11/27.74 tff(18195,plain,
% 42.11/27.74 (~v121(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18194, 1336, 18150])).
% 42.11/27.74 tff(18196,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB131)) | (~v90(constB131, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB131)) | (~v90(constB131, bitIndex2)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18197,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB131)) | (~v90(constB131, bitIndex2)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18198,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB131)) | (~v90(constB131, bitIndex2))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18197, 18196])).
% 42.11/27.74 tff(18199,plain,
% 42.11/27.74 (~v122(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18198, 1347, 18150])).
% 42.11/27.74 tff(18200,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB131)) | (~v90(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB131)) | (~v90(constB131, bitIndex1)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18201,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB131)) | (~v90(constB131, bitIndex1)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18202,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB131)) | (~v90(constB131, bitIndex1))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18201, 18200])).
% 42.11/27.74 tff(18203,plain,
% 42.11/27.74 (~v119(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18202, 1380, 18159])).
% 42.11/27.74 tff(18204,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB131)) | (~v90(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB131)) | (~v90(constB131, bitIndex1)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18205,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB131)) | (~v90(constB131, bitIndex1)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18206,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB131)) | (~v90(constB131, bitIndex1))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18205, 18204])).
% 42.11/27.74 tff(18207,plain,
% 42.11/27.74 (~v120(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18206, 1391, 18159])).
% 42.11/27.74 tff(18208,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB131)) | (~v90(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB131)) | (~v90(constB131, bitIndex1)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18209,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB131)) | (~v90(constB131, bitIndex1)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18210,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB131)) | (~v90(constB131, bitIndex1))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18209, 18208])).
% 42.11/27.74 tff(18211,plain,
% 42.11/27.74 (~v124(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18210, 1369, 18159])).
% 42.11/27.74 tff(18212,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB131)) | (~v90(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB131)) | (~v90(constB131, bitIndex1)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18213,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB131)) | (~v90(constB131, bitIndex1)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18214,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB131)) | (~v90(constB131, bitIndex1))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18213, 18212])).
% 42.11/27.74 tff(18215,plain,
% 42.11/27.74 (~v123(constB131)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18214, 1358, 18159])).
% 42.11/27.74 tff(18216,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, bitIndex2)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18217,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, bitIndex2)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18218,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, bitIndex2))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 42.11/27.74 tff(18219,plain,
% 42.11/27.74 (~v130(constB131, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18218, 1405, 18215, 18211, 18207, 18203, 18199, 18195])).
% 42.11/27.74 tff(18220,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB131, bitIndex2)) | v26(constB131) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB131, bitIndex2)) | v26(constB131) | v130(constB131, bitIndex2))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18221,plain,
% 42.11/27.74 ((v26(constB131) | v130(constB131, bitIndex2) | (~v127(constB131, bitIndex2))) <=> ((~v127(constB131, bitIndex2)) | v26(constB131) | v130(constB131, bitIndex2))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18222,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB131) | v130(constB131, bitIndex2) | (~v127(constB131, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB131, bitIndex2)) | v26(constB131) | v130(constB131, bitIndex2)))),
% 42.11/27.74 inference(monotonicity,[status(thm)],[18221])).
% 42.11/27.74 tff(18223,plain,
% 42.11/27.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB131) | v130(constB131, bitIndex2) | (~v127(constB131, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB131, bitIndex2)) | v26(constB131) | v130(constB131, bitIndex2))),
% 42.11/27.74 inference(transitivity,[status(thm)],[18222, 18220])).
% 42.11/27.74 tff(18224,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB131) | v130(constB131, bitIndex2) | (~v127(constB131, bitIndex2)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18225,plain,
% 42.11/27.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB131, bitIndex2)) | v26(constB131) | v130(constB131, bitIndex2)),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18224, 18223])).
% 42.11/27.74 tff(18226,plain,
% 42.11/27.74 ((~v127(constB131, bitIndex2)) | v130(constB131, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18225, 1419, 17337])).
% 42.11/27.74 tff(18227,plain,
% 42.11/27.74 (~v127(constB131, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18226, 18219])).
% 42.11/27.74 tff(18228,plain,
% 42.11/27.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex2) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex2) | (~v129(constB132, bitIndex2)))),
% 42.11/27.74 inference(rewrite,[status(thm)],[])).
% 42.11/27.74 tff(18229,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex2) | (~v129(constB132, bitIndex2)))),
% 42.11/27.74 inference(quant_inst,[status(thm)],[])).
% 42.11/27.74 tff(18230,plain,
% 42.11/27.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex2) | (~v129(constB132, bitIndex2))),
% 42.11/27.74 inference(modus_ponens,[status(thm)],[18229, 18228])).
% 42.11/27.74 tff(18231,plain,
% 42.11/27.74 (v127(constB131, bitIndex2) | (~v129(constB132, bitIndex2))),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18230, 1437, 17348])).
% 42.11/27.74 tff(18232,plain,
% 42.11/27.74 (~v129(constB132, bitIndex2)),
% 42.11/27.74 inference(unit_resolution,[status(thm)],[18231, 18227])).
% 42.11/27.75 tff(18233,plain,
% 42.11/27.75 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB132, bitIndex2)) | v129(constB132, bitIndex2) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB132, bitIndex2)) | v129(constB132, bitIndex2) | (~v100(constB132)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18234,plain,
% 42.11/27.75 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB132, bitIndex2)) | v129(constB132, bitIndex2) | (~v100(constB132)))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18235,plain,
% 42.11/27.75 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB132, bitIndex2)) | v129(constB132, bitIndex2) | (~v100(constB132))),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18234, 18233])).
% 42.11/27.75 tff(18236,plain,
% 42.11/27.75 ((~v90(constB132, bitIndex2)) | (~v100(constB132))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18235, 1452, 18232])).
% 42.11/27.75 tff(18237,plain,
% 42.11/27.75 (~v90(constB132, bitIndex2)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18236, 18191])).
% 42.11/27.75 tff(18238,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex2)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18239,plain,
% 42.11/27.75 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex2) | v100(constB133) | (~v90(constB133, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex2)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18240,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex2) | v100(constB133) | (~v90(constB133, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex2))))),
% 42.11/27.75 inference(monotonicity,[status(thm)],[18239])).
% 42.11/27.75 tff(18241,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex2) | v100(constB133) | (~v90(constB133, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex2)))),
% 42.11/27.75 inference(transitivity,[status(thm)],[18240, 18238])).
% 42.11/27.75 tff(18242,plain,
% 42.11/27.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex2) | v100(constB133) | (~v90(constB133, bitIndex2)))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18243,plain,
% 42.11/27.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex2))),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18242, 18241])).
% 42.11/27.75 tff(18244,plain,
% 42.11/27.75 (v90(constB132, bitIndex2) | v100(constB133) | (~v90(constB133, bitIndex2))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18243, 423, 17475])).
% 42.11/27.75 tff(18245,plain,
% 42.11/27.75 (v90(constB132, bitIndex2) | (~v90(constB133, bitIndex2))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18244, 17487])).
% 42.11/27.75 tff(18246,plain,
% 42.11/27.75 (~v90(constB133, bitIndex2)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18245, 18237])).
% 42.11/27.75 tff(18247,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, bitIndex1)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18248,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, bitIndex1)))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18249,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, bitIndex1))),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18248, 18247])).
% 42.11/27.75 tff(18250,plain,
% 42.11/27.75 (~v130(constB131, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18249, 1494, 18215, 18211, 18207, 18203, 18199, 18195])).
% 42.11/27.75 tff(18251,plain,
% 42.11/27.75 (~v127(constB131, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17344, 18250])).
% 42.11/27.75 tff(18252,plain,
% 42.11/27.75 (~v129(constB132, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17352, 18251])).
% 42.11/27.75 tff(18253,plain,
% 42.11/27.75 ((~v90(constB132, bitIndex1)) | (~v100(constB132))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17467, 868, 18252])).
% 42.11/27.75 tff(18254,plain,
% 42.11/27.75 (~v90(constB132, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18253, 18191])).
% 42.11/27.75 tff(18255,plain,
% 42.11/27.75 (~v90(constB133, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17495, 18254])).
% 42.11/27.75 tff(18256,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, bitIndex0))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18257,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, bitIndex0))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18258,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, bitIndex0)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18257, 18256])).
% 42.11/27.75 tff(18259,plain,
% 42.11/27.75 (v130(constB131, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18258, 1538, 18215, 18211, 18207, 18203, 18199, 18195])).
% 42.11/27.75 tff(18260,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB131) | (~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB131) | (~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18261,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB131) | (~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18262,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB131) | (~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18261, 18260])).
% 42.11/27.75 tff(18263,plain,
% 42.11/27.75 ((~v130(constB131, bitIndex0)) | v127(constB131, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18262, 1552, 17337])).
% 42.11/27.75 tff(18264,plain,
% 42.11/27.75 (v127(constB131, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18263, 18259])).
% 42.11/27.75 tff(18265,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex0)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex0)) | v129(constB132, bitIndex0))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18266,plain,
% 42.11/27.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex0)) | v129(constB132, bitIndex0))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18267,plain,
% 42.11/27.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex0)) | v129(constB132, bitIndex0)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18266, 18265])).
% 42.11/27.75 tff(18268,plain,
% 42.11/27.75 ((~v127(constB131, bitIndex0)) | v129(constB132, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18267, 1567, 17348])).
% 42.11/27.75 tff(18269,plain,
% 42.11/27.75 (v129(constB132, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18268, 18264])).
% 42.11/27.75 tff(18270,plain,
% 42.11/27.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~v129(constB132, bitIndex0)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~v129(constB132, bitIndex0)) | (~v100(constB132)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18271,plain,
% 42.11/27.75 ((v90(constB132, bitIndex0) | (~v100(constB132)) | (~v129(constB132, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~v129(constB132, bitIndex0)) | (~v100(constB132)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18272,plain,
% 42.11/27.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~v100(constB132)) | (~v129(constB132, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~v129(constB132, bitIndex0)) | (~v100(constB132))))),
% 42.11/27.75 inference(monotonicity,[status(thm)],[18271])).
% 42.11/27.75 tff(18273,plain,
% 42.11/27.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~v100(constB132)) | (~v129(constB132, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~v129(constB132, bitIndex0)) | (~v100(constB132)))),
% 42.11/27.75 inference(transitivity,[status(thm)],[18272, 18270])).
% 42.11/27.75 tff(18274,plain,
% 42.11/27.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~v100(constB132)) | (~v129(constB132, bitIndex0)))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18275,plain,
% 42.11/27.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~v129(constB132, bitIndex0)) | (~v100(constB132))),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18274, 18273])).
% 42.11/27.75 tff(18276,plain,
% 42.11/27.75 (v90(constB132, bitIndex0) | (~v100(constB132))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18275, 1582, 18269])).
% 42.11/27.75 tff(18277,plain,
% 42.11/27.75 (v90(constB132, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18276, 18191])).
% 42.11/27.75 tff(18278,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex0))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18279,plain,
% 42.11/27.75 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex0)) | v100(constB133) | v90(constB133, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex0))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18280,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex0)) | v100(constB133) | v90(constB133, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex0)))),
% 42.11/27.75 inference(monotonicity,[status(thm)],[18279])).
% 42.11/27.75 tff(18281,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex0)) | v100(constB133) | v90(constB133, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex0))),
% 42.11/27.75 inference(transitivity,[status(thm)],[18280, 18278])).
% 42.11/27.75 tff(18282,plain,
% 42.11/27.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex0)) | v100(constB133) | v90(constB133, bitIndex0))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18283,plain,
% 42.11/27.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex0)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18282, 18281])).
% 42.11/27.75 tff(18284,plain,
% 42.11/27.75 ((~v90(constB132, bitIndex0)) | v100(constB133) | v90(constB133, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18283, 1600, 17475])).
% 42.11/27.75 tff(18285,plain,
% 42.11/27.75 ((~v90(constB132, bitIndex0)) | v90(constB133, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18284, 17487])).
% 42.11/27.75 tff(18286,plain,
% 42.11/27.75 (v90(constB133, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18285, 18277])).
% 42.11/27.75 tff(18287,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18288,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18289,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18288, 18287])).
% 42.11/27.75 tff(18290,plain,
% 42.11/27.75 (v120(constB133)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18289, 1619, 18286, 18255, 18246])).
% 42.11/27.75 tff(18291,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18292,plain,
% 42.11/27.75 (((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0)) <=> ((~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18293,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0)))),
% 42.11/27.75 inference(monotonicity,[status(thm)],[18292])).
% 42.11/27.75 tff(18294,plain,
% 42.11/27.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0))),
% 42.11/27.75 inference(transitivity,[status(thm)],[18293, 18291])).
% 42.11/27.75 tff(18295,plain,
% 42.11/27.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18296,plain,
% 42.11/27.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18295, 18294])).
% 42.11/27.75 tff(18297,plain,
% 42.11/27.75 ((~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18296, 1600, 17572])).
% 42.11/27.75 tff(18298,plain,
% 42.11/27.75 (v100(constB134)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18297, 18286, 18088])).
% 42.11/27.75 tff(18299,plain,
% 42.11/27.75 ((~v129(constB134, bitIndex1)) | (~v100(constB134))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17632, 1174, 18087])).
% 42.11/27.75 tff(18300,plain,
% 42.11/27.75 (~v129(constB134, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18299, 18298])).
% 42.11/27.75 tff(18301,plain,
% 42.11/27.75 (~v127(constB133, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17625, 18300])).
% 42.11/27.75 tff(18302,plain,
% 42.11/27.75 (~v130(constB133, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17620, 18301])).
% 42.11/27.75 tff(18303,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB133)) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB133)) | v130(constB133, bitIndex1))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18304,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB133)) | v130(constB133, bitIndex1))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18305,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB133)) | v130(constB133, bitIndex1)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18304, 18303])).
% 42.11/27.75 tff(18306,plain,
% 42.11/27.75 ($false),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18305, 1788, 18302, 18290])).
% 42.11/27.75 tff(18307,plain,((~v123(constB129)) | v90(constB134, bitIndex1) | v90(constB134, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.75 tff(18308,plain,
% 42.11/27.75 (~v123(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18307, 18087, 18088])).
% 42.11/27.75 tff(18309,assumption,(~v90(constB131, bitIndex0)), introduced(assumption)).
% 42.11/27.75 tff(18310,plain,
% 42.11/27.75 (~v90(constB130, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17323, 18309])).
% 42.11/27.75 tff(18311,plain,
% 42.11/27.75 (~v117(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17177, 525, 18101])).
% 42.11/27.75 tff(18312,plain,
% 42.11/27.75 (~v121(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17184, 1881, 18311])).
% 42.11/27.75 tff(18313,plain,
% 42.11/27.75 (~v90(constB129, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17193, 18090, 17089])).
% 42.11/27.75 tff(18314,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v118(constB129)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v118(constB129)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18315,plain,
% 42.11/27.75 (((~v118(constB129)) | v117(constB129)) <=> (v117(constB129) | (~v118(constB129)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18316,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v118(constB129))))),
% 42.11/27.75 inference(monotonicity,[status(thm)],[18315])).
% 42.11/27.75 tff(18317,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v118(constB129)))),
% 42.11/27.75 inference(transitivity,[status(thm)],[18316, 18314])).
% 42.11/27.75 tff(18318,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB129)) | v117(constB129))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18319,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v118(constB129))),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18318, 18317])).
% 42.11/27.75 tff(18320,plain,
% 42.11/27.75 (~v118(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18319, 511, 18311])).
% 42.11/27.75 tff(18321,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB129) | (~v119(constB129)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB129) | (~v119(constB129)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18322,plain,
% 42.11/27.75 (((~v119(constB129)) | v118(constB129)) <=> (v118(constB129) | (~v119(constB129)))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18323,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB129)) | v118(constB129))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB129) | (~v119(constB129))))),
% 42.11/27.75 inference(monotonicity,[status(thm)],[18322])).
% 42.11/27.75 tff(18324,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB129)) | v118(constB129))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB129) | (~v119(constB129)))),
% 42.11/27.75 inference(transitivity,[status(thm)],[18323, 18321])).
% 42.11/27.75 tff(18325,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB129)) | v118(constB129))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18326,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB129) | (~v119(constB129))),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18325, 18324])).
% 42.11/27.75 tff(18327,plain,
% 42.11/27.75 (~v119(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18326, 500, 18320])).
% 42.11/27.75 tff(18328,plain,
% 42.11/27.75 (v90(constB129, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17210, 18327, 17186, 18313])).
% 42.11/27.75 tff(18329,plain,
% 42.11/27.75 (~v125(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17214, 1263, 18094])).
% 42.11/27.75 tff(18330,plain,
% 42.11/27.75 ((~v90(constB129, bitIndex1)) | (~v90(constB129, bitIndex2)) | v125(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17218, 1252, 18313])).
% 42.11/27.75 tff(18331,plain,
% 42.11/27.75 (~v90(constB129, bitIndex2)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18330, 18328, 18329])).
% 42.11/27.75 tff(18332,plain,
% 42.11/27.75 ((~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17046, 1870, 18313])).
% 42.11/27.75 tff(18333,plain,
% 42.11/27.75 ($false),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18332, 18331, 18328, 18312])).
% 42.11/27.75 tff(18334,plain,(v100(constB130) | v123(constB129) | v90(constB130, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.75 tff(18335,plain,
% 42.11/27.75 (v100(constB130)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18334, 18310, 17186])).
% 42.11/27.75 tff(18336,plain,
% 42.11/27.75 ((~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17096, 1582, 18310])).
% 42.11/27.75 tff(18337,plain,
% 42.11/27.75 (~v129(constB130, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18336, 18335])).
% 42.11/27.75 tff(18338,assumption,(~v129(constB130, bitIndex0)), introduced(assumption)).
% 42.11/27.75 tff(18339,plain,
% 42.11/27.75 (~v127(constB129, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17086, 18338])).
% 42.11/27.75 tff(18340,plain,
% 42.11/27.75 (~v130(constB129, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17081, 18339])).
% 42.11/27.75 tff(18341,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB129)) | v130(constB129, bitIndex0))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18342,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB129)) | v130(constB129, bitIndex0))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18343,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB129)) | v130(constB129, bitIndex0)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18342, 18341])).
% 42.11/27.75 tff(18344,plain,
% 42.11/27.75 (~v124(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18343, 4083, 18340])).
% 42.11/27.75 tff(18345,plain,
% 42.11/27.75 (~v121(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17076, 2088, 18340])).
% 42.11/27.75 tff(18346,assumption,(~v129(constB130, bitIndex2)), introduced(assumption)).
% 42.11/27.75 tff(18347,plain,
% 42.11/27.75 (~v127(constB129, bitIndex2)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18132, 18346])).
% 42.11/27.75 tff(18348,plain,
% 42.11/27.75 (~v130(constB129, bitIndex2)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18127, 18347])).
% 42.11/27.75 tff(18349,plain,
% 42.11/27.75 (~v123(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18122, 1074, 18348])).
% 42.11/27.75 tff(18350,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB129)) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB129)) | v130(constB129, bitIndex2))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18351,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB129)) | v130(constB129, bitIndex2))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18352,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB129)) | v130(constB129, bitIndex2)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18351, 18350])).
% 42.11/27.75 tff(18353,plain,
% 42.11/27.75 (~v122(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18352, 2224, 18348])).
% 42.11/27.75 tff(18354,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB129)) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB129)) | v130(constB129, bitIndex2))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18355,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB129)) | v130(constB129, bitIndex2))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18356,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB129)) | v130(constB129, bitIndex2)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18355, 18354])).
% 42.11/27.75 tff(18357,plain,
% 42.11/27.75 (~v119(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18356, 593, 18348])).
% 42.11/27.75 tff(18358,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | v130(constB129, bitIndex0))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18359,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | v130(constB129, bitIndex0))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18360,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | v130(constB129, bitIndex0)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18359, 18358])).
% 42.11/27.75 tff(18361,plain,
% 42.11/27.75 (v120(constB129) | v121(constB129) | v124(constB129) | v130(constB129, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18360, 1538, 18357, 18353, 18349])).
% 42.11/27.75 tff(18362,plain,
% 42.11/27.75 (v120(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18361, 18345, 18340, 18344])).
% 42.11/27.75 tff(18363,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB129)) | v118(constB129))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB129)) | v118(constB129))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18364,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB129)) | v118(constB129))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18365,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB129)) | v118(constB129)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18364, 18363])).
% 42.11/27.75 tff(18366,plain,
% 42.11/27.75 (v118(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18365, 1630, 18362])).
% 42.11/27.75 tff(18367,plain,
% 42.11/27.75 (v117(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18319, 511, 18366])).
% 42.11/27.75 tff(18368,plain,
% 42.11/27.75 (v116(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17177, 525, 18367])).
% 42.11/27.75 tff(18369,plain,
% 42.11/27.75 (v115(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17170, 539, 18368])).
% 42.11/27.75 tff(18370,plain,
% 42.11/27.75 (v114(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17163, 553, 18369])).
% 42.11/27.75 tff(18371,plain,
% 42.11/27.75 (v113(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17156, 567, 18370])).
% 42.11/27.75 tff(18372,plain,
% 42.11/27.75 (v112(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17149, 18371])).
% 42.11/27.75 tff(18373,plain,
% 42.11/27.75 (v108(constB129)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17144, 746, 18372])).
% 42.11/27.75 tff(18374,plain,
% 42.11/27.75 (v110(constB130)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17137, 18373])).
% 42.11/27.75 tff(18375,plain,
% 42.11/27.75 (v100(constB130)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17129, 18374])).
% 42.11/27.75 tff(18376,plain,
% 42.11/27.75 ((~v90(constB130, bitIndex2)) | (~v100(constB130))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17305, 1452, 18346])).
% 42.11/27.75 tff(18377,plain,
% 42.11/27.75 (~v90(constB130, bitIndex2)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18376, 18375])).
% 42.11/27.75 tff(18378,plain,
% 42.11/27.75 (~v90(constB131, bitIndex2)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17314, 18377])).
% 42.11/27.75 tff(18379,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB129)) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB129)) | v130(constB129, bitIndex1))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18380,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB129)) | v130(constB129, bitIndex1))),
% 42.11/27.75 inference(quant_inst,[status(thm)],[])).
% 42.11/27.75 tff(18381,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB129)) | v130(constB129, bitIndex1)),
% 42.11/27.75 inference(modus_ponens,[status(thm)],[18380, 18379])).
% 42.11/27.75 tff(18382,plain,
% 42.11/27.75 (v130(constB129, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18381, 1788, 18362])).
% 42.11/27.75 tff(18383,plain,
% 42.11/27.75 (v127(constB129, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17060, 18382])).
% 42.11/27.75 tff(18384,plain,
% 42.11/27.75 (v129(constB130, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17068, 18383])).
% 42.11/27.75 tff(18385,plain,
% 42.11/27.75 (v90(constB130, bitIndex1) | (~v100(constB130))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17257, 1174, 18384])).
% 42.11/27.75 tff(18386,plain,
% 42.11/27.75 (v90(constB130, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18385, 18375])).
% 42.11/27.75 tff(18387,plain,
% 42.11/27.75 (v90(constB131, bitIndex1)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[17284, 18386])).
% 42.11/27.75 tff(18388,plain,
% 42.11/27.75 ((~v90(constB130, bitIndex0)) | (~v100(constB130))),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18168, 952, 18338])).
% 42.11/27.75 tff(18389,plain,
% 42.11/27.75 (~v90(constB130, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18388, 18375])).
% 42.11/27.75 tff(18390,plain,
% 42.11/27.75 (~v90(constB131, bitIndex0)),
% 42.11/27.75 inference(unit_resolution,[status(thm)],[18178, 18389])).
% 42.11/27.75 tff(18391,plain,
% 42.11/27.75 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v121(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v121(constB131))),
% 42.11/27.75 inference(rewrite,[status(thm)],[])).
% 42.11/27.75 tff(18392,plain,
% 42.11/27.75 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v121(constB131))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18393,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v121(constB131)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 42.11/27.76 tff(18394,plain,
% 42.11/27.76 (v121(constB131)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18393, 1870, 18390, 18387, 18378])).
% 42.11/27.76 tff(18395,plain,
% 42.11/27.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB131, bitIndex1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB131, bitIndex1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18396,plain,
% 42.11/27.76 (((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex1)) | v100(constB132) | v90(constB132, bitIndex1)) <=> ((~v90(constB131, bitIndex1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18397,plain,
% 42.11/27.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex1)) | v100(constB132) | v90(constB132, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB131, bitIndex1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex1)))),
% 42.11/27.76 inference(monotonicity,[status(thm)],[18396])).
% 42.11/27.76 tff(18398,plain,
% 42.11/27.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex1)) | v100(constB132) | v90(constB132, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB131, bitIndex1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex1))),
% 42.11/27.76 inference(transitivity,[status(thm)],[18397, 18395])).
% 42.11/27.76 tff(18399,plain,
% 42.11/27.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex1)) | v100(constB132) | v90(constB132, bitIndex1))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18400,plain,
% 42.11/27.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB131, bitIndex1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex1)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18399, 18398])).
% 42.11/27.76 tff(18401,plain,
% 42.11/27.76 ((~v90(constB131, bitIndex1)) | v100(constB132) | v90(constB132, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18400, 1192, 17348])).
% 42.11/27.76 tff(18402,plain,
% 42.11/27.76 (v100(constB132)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18401, 18387, 18089])).
% 42.11/27.76 tff(18403,plain,
% 42.11/27.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18404,plain,
% 42.11/27.76 ((v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18405,plain,
% 42.11/27.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))))),
% 42.11/27.76 inference(monotonicity,[status(thm)],[18404])).
% 42.11/27.76 tff(18406,plain,
% 42.11/27.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 42.11/27.76 inference(transitivity,[status(thm)],[18405, 18403])).
% 42.11/27.76 tff(18407,plain,
% 42.11/27.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18408,plain,
% 42.11/27.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18407, 18406])).
% 42.11/27.76 tff(18409,plain,
% 42.11/27.76 ((~v129(constB132, bitIndex1)) | (~v100(constB132))),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18408, 1174, 18089])).
% 42.11/27.76 tff(18410,plain,
% 42.11/27.76 (~v129(constB132, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18409, 18402])).
% 42.11/27.76 tff(18411,plain,
% 42.11/27.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18412,plain,
% 42.11/27.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18413,plain,
% 42.11/27.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18412, 18411])).
% 42.11/27.76 tff(18414,plain,
% 42.11/27.76 ((~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18413, 1159, 17348])).
% 42.11/27.76 tff(18415,plain,
% 42.11/27.76 (~v127(constB131, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18414, 18410])).
% 42.11/27.76 tff(18416,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18417,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18418,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18417, 18416])).
% 42.11/27.76 tff(18419,plain,
% 42.11/27.76 ((~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18418, 1144, 17337])).
% 42.11/27.76 tff(18420,plain,
% 42.11/27.76 (~v130(constB131, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18419, 18415])).
% 42.11/27.76 tff(18421,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB131)) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB131)) | v130(constB131, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18422,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB131)) | v130(constB131, bitIndex1))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18423,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB131)) | v130(constB131, bitIndex1)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18422, 18421])).
% 42.11/27.76 tff(18424,plain,
% 42.11/27.76 ($false),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18423, 2050, 18420, 18394])).
% 42.11/27.76 tff(18425,plain,(v129(constB130, bitIndex0) | v90(constB132, bitIndex1) | v129(constB130, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.76 tff(18426,plain,
% 42.11/27.76 (v129(constB130, bitIndex2)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18425, 18337, 18089])).
% 42.11/27.76 tff(18427,plain,
% 42.11/27.76 (v127(constB129, bitIndex2)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17301, 18426])).
% 42.11/27.76 tff(18428,plain,
% 42.11/27.76 (v130(constB129, bitIndex2)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17296, 18427])).
% 42.11/27.76 tff(18429,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB129)) | (~v130(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB129)) | (~v130(constB129, bitIndex2)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18430,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB129)) | (~v130(constB129, bitIndex2)))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18431,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB129)) | (~v130(constB129, bitIndex2))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18430, 18429])).
% 42.11/27.76 tff(18432,plain,
% 42.11/27.76 (~v124(constB129)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18431, 3868, 18428])).
% 42.11/27.76 tff(18433,plain,
% 42.11/27.76 (~v121(constB129)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17288, 1990, 18428])).
% 42.11/27.76 tff(18434,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB129)) | (~v130(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB129)) | (~v130(constB129, bitIndex2)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18435,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB129)) | (~v130(constB129, bitIndex2)))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18436,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB129)) | (~v130(constB129, bitIndex2))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18435, 18434])).
% 42.11/27.76 tff(18437,plain,
% 42.11/27.76 (~v120(constB129)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18436, 1732, 18428])).
% 42.11/27.76 tff(18438,plain,
% 42.11/27.76 (~v127(constB129, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17086, 18337])).
% 42.11/27.76 tff(18439,plain,
% 42.11/27.76 (~v130(constB129, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17081, 18438])).
% 42.11/27.76 tff(18440,plain,
% 42.11/27.76 (v90(constB130, bitIndex2)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18139, 641, 18335, 18426])).
% 42.11/27.76 tff(18441,plain,
% 42.11/27.76 (v90(constB131, bitIndex2)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18149, 18440])).
% 42.11/27.76 tff(18442,plain,
% 42.11/27.76 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ((~v125(VarCurr)) | v90(VarCurr, bitIndex1)))),
% 42.11/27.76 inference(bind,[status(th)],[])).
% 42.11/27.76 tff(18443,plain,
% 42.11/27.76 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.11/27.76 inference(quant_intro,[status(thm)],[18442])).
% 42.11/27.76 tff(18444,plain,
% 42.11/27.76 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18445,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_3')).
% 42.11/27.76 tff(18446,plain,
% 42.11/27.76 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18445, 18444])).
% 42.11/27.76 tff(18447,plain,(
% 42.11/27.76 ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.11/27.76 inference(skolemize,[status(sab)],[18446])).
% 42.11/27.76 tff(18448,plain,
% 42.11/27.76 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18447, 18443])).
% 42.11/27.76 tff(18449,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v125(constB132)) | v90(constB132, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v125(constB132)) | v90(constB132, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18450,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v125(constB132)) | v90(constB132, bitIndex1))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18451,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v125(constB132)) | v90(constB132, bitIndex1)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18450, 18449])).
% 42.11/27.76 tff(18452,plain,
% 42.11/27.76 (~v125(constB132)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18451, 18448, 18089])).
% 42.11/27.76 tff(18453,assumption,(v123(constB131)), introduced(assumption)).
% 42.11/27.76 tff(18454,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB131)) | v115(constB131))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18455,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB131)) | v115(constB131))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18456,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB131)) | v115(constB131)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18455, 18454])).
% 42.11/27.76 tff(18457,plain,
% 42.11/27.76 (v115(constB131)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18456, 990, 18453])).
% 42.11/27.76 tff(18458,plain,
% 42.11/27.76 (v114(constB131)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17368, 553, 18457])).
% 42.11/27.76 tff(18459,plain,
% 42.11/27.76 (v113(constB131)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17450, 567, 18458])).
% 42.11/27.76 tff(18460,plain,
% 42.11/27.76 (v112(constB131)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17446, 18459])).
% 42.11/27.76 tff(18461,plain,
% 42.11/27.76 (v108(constB131)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17441, 746, 18460])).
% 42.11/27.76 tff(18462,plain,
% 42.11/27.76 (v110(constB132)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17434, 18461])).
% 42.11/27.76 tff(18463,plain,
% 42.11/27.76 (v100(constB132)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17426, 18462])).
% 42.11/27.76 tff(18464,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB131)) | v130(constB131, bitIndex2))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18465,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB131)) | v130(constB131, bitIndex2))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18466,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB131)) | v130(constB131, bitIndex2)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18465, 18464])).
% 42.11/27.76 tff(18467,plain,
% 42.11/27.76 (v130(constB131, bitIndex2)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18466, 1074, 18453])).
% 42.11/27.76 tff(18468,plain,
% 42.11/27.76 (v127(constB131, bitIndex2)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17504, 18467])).
% 42.11/27.76 tff(18469,plain,
% 42.11/27.76 (v129(constB132, bitIndex2)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17509, 18468])).
% 42.11/27.76 tff(18470,plain,
% 42.11/27.76 (v90(constB132, bitIndex2) | (~v100(constB132))),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17516, 641, 18469])).
% 42.11/27.76 tff(18471,plain,
% 42.11/27.76 (v90(constB132, bitIndex2)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18470, 18463])).
% 42.11/27.76 tff(18472,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB131)) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB131)) | v130(constB131, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18473,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB131)) | v130(constB131, bitIndex1))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18474,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB131)) | v130(constB131, bitIndex1)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18473, 18472])).
% 42.11/27.76 tff(18475,plain,
% 42.11/27.76 (v130(constB131, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18474, 1130, 18453])).
% 42.11/27.76 tff(18476,plain,
% 42.11/27.76 (v127(constB131, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18419, 18475])).
% 42.11/27.76 tff(18477,plain,
% 42.11/27.76 (v129(constB132, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18414, 18476])).
% 42.11/27.76 tff(18478,plain,
% 42.11/27.76 (v90(constB132, bitIndex1) | (~v100(constB132))),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18408, 1174, 18477])).
% 42.11/27.76 tff(18479,plain,
% 42.11/27.76 (v90(constB132, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18478, 18463])).
% 42.11/27.76 tff(18480,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB131)) | (~v130(constB131, bitIndex0)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18481,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB131)) | (~v130(constB131, bitIndex0)))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18482,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB131)) | (~v130(constB131, bitIndex0))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 42.11/27.76 tff(18483,plain,
% 42.11/27.76 (~v130(constB131, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18482, 1208, 18453])).
% 42.11/27.76 tff(18484,plain,
% 42.11/27.76 (~v127(constB131, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17380, 18483])).
% 42.11/27.76 tff(18485,plain,
% 42.11/27.76 (~v129(constB132, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17385, 18484])).
% 42.11/27.76 tff(18486,plain,
% 42.11/27.76 ((~v90(constB132, bitIndex0)) | (~v100(constB132))),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17393, 952, 18485])).
% 42.11/27.76 tff(18487,plain,
% 42.11/27.76 (~v90(constB132, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18486, 18463])).
% 42.11/27.76 tff(18488,assumption,(~v125(constB132)), introduced(assumption)).
% 42.11/27.76 tff(18489,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB132, bitIndex0) | (~v90(constB132, bitIndex1)) | (~v90(constB132, bitIndex2)) | v125(constB132))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB132, bitIndex0) | (~v90(constB132, bitIndex1)) | (~v90(constB132, bitIndex2)) | v125(constB132))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18490,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB132, bitIndex0) | (~v90(constB132, bitIndex1)) | (~v90(constB132, bitIndex2)) | v125(constB132))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18491,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB132, bitIndex0) | (~v90(constB132, bitIndex1)) | (~v90(constB132, bitIndex2)) | v125(constB132)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 42.11/27.76 tff(18492,plain,
% 42.11/27.76 (v90(constB132, bitIndex0) | (~v90(constB132, bitIndex1)) | (~v90(constB132, bitIndex2))),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18491, 1252, 18488])).
% 42.11/27.76 tff(18493,plain,
% 42.11/27.76 ($false),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18492, 18487, 18479, 18471])).
% 42.11/27.76 tff(18494,plain,((~v123(constB131)) | v125(constB132)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.76 tff(18495,plain,
% 42.11/27.76 (~v123(constB131)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18494, 18452])).
% 42.11/27.76 tff(18496,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v123(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v123(constB131))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18497,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v123(constB131))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18498,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v123(constB131)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18497, 18496])).
% 42.11/27.76 tff(18499,plain,
% 42.11/27.76 (v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2))),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18498, 979, 18309, 18495])).
% 42.11/27.76 tff(18500,plain,
% 42.11/27.76 (v90(constB131, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18499, 18441])).
% 42.11/27.76 tff(18501,plain,
% 42.11/27.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18502,plain,
% 42.11/27.76 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18503,plain,
% 42.11/27.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))))),
% 42.11/27.76 inference(monotonicity,[status(thm)],[18502])).
% 42.11/27.76 tff(18504,plain,
% 42.11/27.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 42.11/27.76 inference(transitivity,[status(thm)],[18503, 18501])).
% 42.11/27.76 tff(18505,plain,
% 42.11/27.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18506,plain,
% 42.11/27.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18505, 18504])).
% 42.11/27.76 tff(18507,plain,
% 42.11/27.76 (v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18506, 444, 17264])).
% 42.11/27.76 tff(18508,plain,
% 42.11/27.76 (v90(constB130, bitIndex1) | (~v90(constB131, bitIndex1))),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18507, 17276])).
% 42.11/27.76 tff(18509,plain,
% 42.11/27.76 (v90(constB130, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18508, 18500])).
% 42.11/27.76 tff(18510,plain,
% 42.11/27.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18511,plain,
% 42.11/27.76 (((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18512,plain,
% 42.11/27.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))))),
% 42.11/27.76 inference(monotonicity,[status(thm)],[18511])).
% 42.11/27.76 tff(18513,plain,
% 42.11/27.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 42.11/27.76 inference(transitivity,[status(thm)],[18512, 18510])).
% 42.11/27.76 tff(18514,plain,
% 42.11/27.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18515,plain,
% 42.11/27.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18514, 18513])).
% 42.11/27.76 tff(18516,plain,
% 42.11/27.76 ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18515, 868, 18335])).
% 42.11/27.76 tff(18517,plain,
% 42.11/27.76 (v129(constB130, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18516, 18509])).
% 42.11/27.76 tff(18518,plain,
% 42.11/27.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18519,plain,
% 42.11/27.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18520,plain,
% 42.11/27.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18519, 18518])).
% 42.11/27.76 tff(18521,plain,
% 42.11/27.76 (v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18520, 853, 17064])).
% 42.11/27.76 tff(18522,plain,
% 42.11/27.76 (v127(constB129, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18521, 18517])).
% 42.11/27.76 tff(18523,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18524,plain,
% 42.11/27.76 ((v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1))) <=> ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18525,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)))),
% 42.11/27.76 inference(monotonicity,[status(thm)],[18524])).
% 42.11/27.76 tff(18526,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 42.11/27.76 inference(transitivity,[status(thm)],[18525, 18523])).
% 42.11/27.76 tff(18527,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18528,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18527, 18526])).
% 42.11/27.76 tff(18529,plain,
% 42.11/27.76 ((~v127(constB129, bitIndex1)) | v130(constB129, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18528, 823, 17056])).
% 42.11/27.76 tff(18530,plain,
% 42.11/27.76 (v130(constB129, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18529, 18522])).
% 42.11/27.76 tff(18531,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB129)) | (~v130(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB129)) | (~v130(constB129, bitIndex1)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18532,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB129)) | (~v130(constB129, bitIndex1)))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18533,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB129)) | (~v130(constB129, bitIndex1))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18532, 18531])).
% 42.11/27.76 tff(18534,plain,
% 42.11/27.76 (~v122(constB129)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18533, 2281, 18530])).
% 42.11/27.76 tff(18535,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB129)) | (~v130(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB129)) | (~v130(constB129, bitIndex1)))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18536,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB129)) | (~v130(constB129, bitIndex1)))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18537,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB129)) | (~v130(constB129, bitIndex1))),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18536, 18535])).
% 42.11/27.76 tff(18538,plain,
% 42.11/27.76 (~v119(constB129)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18537, 809, 18530])).
% 42.11/27.76 tff(18539,plain,
% 42.11/27.76 (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v124(constB129) | v130(constB129, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18360, 1538, 17186])).
% 42.11/27.76 tff(18540,plain,
% 42.11/27.76 ($false),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18539, 18538, 18534, 18439, 18437, 18433, 18432])).
% 42.11/27.76 tff(18541,plain,(v90(constB131, bitIndex0) | v123(constB129) | v90(constB132, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.76 tff(18542,plain,
% 42.11/27.76 (v90(constB131, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18541, 18089, 18308])).
% 42.11/27.76 tff(18543,plain,
% 42.11/27.76 (v90(constB130, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18178, 18542])).
% 42.11/27.76 tff(18544,plain,
% 42.11/27.76 (v90(constB129, bitIndex0)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[17250, 18090, 18543])).
% 42.11/27.76 tff(18545,plain,
% 42.11/27.76 (~v120(constB129)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18365, 1630, 18320])).
% 42.11/27.76 tff(18546,assumption,(~v120(constB129)), introduced(assumption)).
% 42.11/27.76 tff(18547,assumption,(~v90(constB129, bitIndex2)), introduced(assumption)).
% 42.11/27.76 tff(18548,assumption,(~v122(constB129)), introduced(assumption)).
% 42.11/27.76 tff(18549,assumption,(v90(constB129, bitIndex0)), introduced(assumption)).
% 42.11/27.76 tff(18550,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB129, bitIndex0)) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v122(constB129))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB129, bitIndex0)) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v122(constB129))),
% 42.11/27.76 inference(rewrite,[status(thm)],[])).
% 42.11/27.76 tff(18551,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB129, bitIndex0)) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v122(constB129))),
% 42.11/27.76 inference(quant_inst,[status(thm)],[])).
% 42.11/27.76 tff(18552,plain,
% 42.11/27.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB129, bitIndex0)) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v122(constB129)),
% 42.11/27.76 inference(modus_ponens,[status(thm)],[18551, 18550])).
% 42.11/27.76 tff(18553,plain,
% 42.11/27.76 ((~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v122(constB129)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18552, 2129, 18549])).
% 42.11/27.76 tff(18554,plain,
% 42.11/27.76 (~v90(constB129, bitIndex1)),
% 42.11/27.76 inference(unit_resolution,[status(thm)],[18553, 18547, 18548])).
% 42.11/27.76 tff(18555,plain,
% 42.11/27.76 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18556,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18557,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129)),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18556, 18555])).
% 42.11/27.77 tff(18558,plain,
% 42.11/27.77 (v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18557, 1619, 18549])).
% 42.11/27.77 tff(18559,plain,
% 42.11/27.77 ($false),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18558, 18554, 18547, 18546])).
% 42.11/27.77 tff(18560,plain,(v90(constB129, bitIndex2) | v120(constB129) | (~v90(constB129, bitIndex0)) | v122(constB129)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.77 tff(18561,plain,
% 42.11/27.77 (v90(constB129, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18560, 18545, 18544, 18108])).
% 42.11/27.77 tff(18562,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v124(constB129))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v124(constB129))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18563,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v124(constB129))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18564,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v124(constB129)),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18563, 18562])).
% 42.11/27.77 tff(18565,plain,
% 42.11/27.77 (v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v124(constB129)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18564, 15368, 18544])).
% 42.11/27.77 tff(18566,plain,
% 42.11/27.77 (v90(constB129, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18565, 18561, 18099])).
% 42.11/27.77 tff(18567,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB129, bitIndex1)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB129, bitIndex1)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex1))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18568,plain,
% 42.11/27.77 (((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex1)) | v100(constB130) | v90(constB130, bitIndex1)) <=> ((~v90(constB129, bitIndex1)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex1))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18569,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex1)) | v100(constB130) | v90(constB130, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB129, bitIndex1)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex1)))),
% 42.11/27.77 inference(monotonicity,[status(thm)],[18568])).
% 42.11/27.77 tff(18570,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex1)) | v100(constB130) | v90(constB130, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB129, bitIndex1)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex1))),
% 42.11/27.77 inference(transitivity,[status(thm)],[18569, 18567])).
% 42.11/27.77 tff(18571,plain,
% 42.11/27.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex1)) | v100(constB130) | v90(constB130, bitIndex1))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18572,plain,
% 42.11/27.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB129, bitIndex1)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex1)),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18571, 18570])).
% 42.11/27.77 tff(18573,plain,
% 42.11/27.77 ((~v90(constB129, bitIndex1)) | v100(constB130) | v90(constB130, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18572, 1192, 17064])).
% 42.11/27.77 tff(18574,plain,
% 42.11/27.77 (v90(constB130, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18573, 18566, 18090])).
% 42.11/27.77 tff(18575,plain,
% 42.11/27.77 (v90(constB131, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17284, 18574])).
% 42.11/27.77 tff(18576,plain,
% 42.11/27.77 (~v120(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18206, 1391, 18575])).
% 42.11/27.77 tff(18577,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB129, bitIndex2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB129, bitIndex2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex2))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18578,plain,
% 42.11/27.77 (((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex2)) | v100(constB130) | v90(constB130, bitIndex2)) <=> ((~v90(constB129, bitIndex2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex2))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18579,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex2)) | v100(constB130) | v90(constB130, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB129, bitIndex2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex2)))),
% 42.11/27.77 inference(monotonicity,[status(thm)],[18578])).
% 42.11/27.77 tff(18580,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex2)) | v100(constB130) | v90(constB130, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB129, bitIndex2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex2))),
% 42.11/27.77 inference(transitivity,[status(thm)],[18579, 18577])).
% 42.11/27.77 tff(18581,plain,
% 42.11/27.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v90(constB129, bitIndex2)) | v100(constB130) | v90(constB130, bitIndex2))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18582,plain,
% 42.11/27.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB129, bitIndex2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, bitIndex2)),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18581, 18580])).
% 42.11/27.77 tff(18583,plain,
% 42.11/27.77 ((~v90(constB129, bitIndex2)) | v100(constB130) | v90(constB130, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18582, 783, 17064])).
% 42.11/27.77 tff(18584,plain,
% 42.11/27.77 (v90(constB130, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18583, 18561, 18090])).
% 42.11/27.77 tff(18585,plain,
% 42.11/27.77 (v90(constB131, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18149, 18584])).
% 42.11/27.77 tff(18586,plain,
% 42.11/27.77 (~v122(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18198, 1347, 18585])).
% 42.11/27.77 tff(18587,plain,
% 42.11/27.77 (~v124(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18210, 1369, 18575])).
% 42.11/27.77 tff(18588,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB131)) | (~v90(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB131)) | (~v90(constB131, bitIndex0)))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18589,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB131)) | (~v90(constB131, bitIndex0)))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18590,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB131)) | (~v90(constB131, bitIndex0))),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18589, 18588])).
% 42.11/27.77 tff(18591,plain,
% 42.11/27.77 (~v119(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18590, 11028, 18542])).
% 42.11/27.77 tff(18592,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB131)) | (~v90(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB131)) | (~v90(constB131, bitIndex0)))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18593,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB131)) | (~v90(constB131, bitIndex0)))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18594,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB131)) | (~v90(constB131, bitIndex0))),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18593, 18592])).
% 42.11/27.77 tff(18595,plain,
% 42.11/27.77 (~v121(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18594, 11039, 18542])).
% 42.11/27.77 tff(18596,plain,
% 42.11/27.77 (v120(constB131) | v122(constB131) | v124(constB131) | v130(constB131, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18258, 1538, 18495, 18595, 18591])).
% 42.11/27.77 tff(18597,plain,
% 42.11/27.77 (v130(constB131, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18596, 18587, 18586, 18576])).
% 42.11/27.77 tff(18598,plain,
% 42.11/27.77 (v127(constB131, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18263, 18597])).
% 42.11/27.77 tff(18599,plain,
% 42.11/27.77 (v129(constB132, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18268, 18598])).
% 42.11/27.77 tff(18600,plain,
% 42.11/27.77 (v100(constB132)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18401, 18575, 18089])).
% 42.11/27.77 tff(18601,plain,
% 42.11/27.77 (v90(constB132, bitIndex0) | (~v129(constB132, bitIndex0))),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18275, 1582, 18600])).
% 42.11/27.77 tff(18602,plain,
% 42.11/27.77 (v90(constB132, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18601, 18599])).
% 42.11/27.77 tff(18603,plain,
% 42.11/27.77 (v90(constB133, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18285, 18602])).
% 42.11/27.77 tff(18604,plain,
% 42.11/27.77 (v120(constB131) | v122(constB131) | v124(constB131) | (~v130(constB131, bitIndex2))),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18218, 1405, 18495, 18595, 18591])).
% 42.11/27.77 tff(18605,plain,
% 42.11/27.77 (~v130(constB131, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18604, 18587, 18586, 18576])).
% 42.11/27.77 tff(18606,plain,
% 42.11/27.77 (~v127(constB131, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18226, 18605])).
% 42.11/27.77 tff(18607,plain,
% 42.11/27.77 (~v129(constB132, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18231, 18606])).
% 42.11/27.77 tff(18608,plain,
% 42.11/27.77 ((~v90(constB132, bitIndex2)) | v129(constB132, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18235, 1452, 18600])).
% 42.11/27.77 tff(18609,plain,
% 42.11/27.77 (~v90(constB132, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18608, 18607])).
% 42.11/27.77 tff(18610,plain,
% 42.11/27.77 (~v90(constB133, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18245, 18609])).
% 42.11/27.77 tff(18611,plain,
% 42.11/27.77 (~v90(constB133, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17495, 18089])).
% 42.11/27.77 tff(18612,plain,
% 42.11/27.77 ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex2) | v120(constB133)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18289, 1619, 18611])).
% 42.11/27.77 tff(18613,plain,
% 42.11/27.77 (v120(constB133)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18612, 18610, 18603])).
% 42.11/27.77 tff(18614,plain,
% 42.11/27.77 (v100(constB134)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18297, 18603, 18088])).
% 42.11/27.77 tff(18615,plain,
% 42.11/27.77 (~v129(constB134, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18299, 18614])).
% 42.11/27.77 tff(18616,plain,
% 42.11/27.77 (~v127(constB133, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17625, 18615])).
% 42.11/27.77 tff(18617,plain,
% 42.11/27.77 (~v130(constB133, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17620, 18616])).
% 42.11/27.77 tff(18618,plain,
% 42.11/27.77 ($false),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18305, 1788, 18617, 18613])).
% 42.11/27.77 tff(18619,plain,(v100(constB130) | v90(constB134, bitIndex1) | v90(constB134, bitIndex0) | v90(constB132, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.77 tff(18620,plain,
% 42.11/27.77 (v100(constB130)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18619, 18089, 18088, 18087])).
% 42.11/27.77 tff(18621,assumption,(~v90(constB134, bitIndex2)), introduced(assumption)).
% 42.11/27.77 tff(18622,assumption,(v124(constB129)), introduced(assumption)).
% 42.11/27.77 tff(18623,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB129)) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB129)) | v130(constB129, bitIndex1))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18624,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB129)) | v130(constB129, bitIndex1))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18625,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB129)) | v130(constB129, bitIndex1)),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18624, 18623])).
% 42.11/27.77 tff(18626,plain,
% 42.11/27.77 (v130(constB129, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18625, 7641, 18622])).
% 42.11/27.77 tff(18627,plain,
% 42.11/27.77 (v127(constB129, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17060, 18626])).
% 42.11/27.77 tff(18628,plain,
% 42.11/27.77 (v129(constB130, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17068, 18627])).
% 42.11/27.77 tff(18629,assumption,(v100(constB130)), introduced(assumption)).
% 42.11/27.77 tff(18630,plain,
% 42.11/27.77 (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1))),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17257, 1174, 18629])).
% 42.11/27.77 tff(18631,plain,
% 42.11/27.77 (v90(constB130, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18630, 18628])).
% 42.11/27.77 tff(18632,plain,
% 42.11/27.77 (v90(constB131, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17284, 18631])).
% 42.11/27.77 tff(18633,plain,
% 42.11/27.77 (~v130(constB129, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18431, 3868, 18622])).
% 42.11/27.77 tff(18634,plain,
% 42.11/27.77 (~v127(constB129, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17296, 18633])).
% 42.11/27.77 tff(18635,plain,
% 42.11/27.77 (~v129(constB130, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17301, 18634])).
% 42.11/27.77 tff(18636,plain,
% 42.11/27.77 ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17305, 1452, 18629])).
% 42.11/27.77 tff(18637,plain,
% 42.11/27.77 (~v90(constB130, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18636, 18635])).
% 42.11/27.77 tff(18638,plain,
% 42.11/27.77 (~v90(constB131, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17314, 18637])).
% 42.11/27.77 tff(18639,assumption,(v90(constB131, bitIndex0)), introduced(assumption)).
% 42.11/27.77 tff(18640,plain,
% 42.11/27.77 ((~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17327, 2129, 18639])).
% 42.11/27.77 tff(18641,plain,
% 42.11/27.77 (v122(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18640, 18638, 18632])).
% 42.11/27.77 tff(18642,plain,
% 42.11/27.77 (~v130(constB131, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17372, 2327, 18641])).
% 42.11/27.77 tff(18643,plain,
% 42.11/27.77 (~v127(constB131, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17380, 18642])).
% 42.11/27.77 tff(18644,plain,
% 42.11/27.77 (~v129(constB132, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17385, 18643])).
% 42.11/27.77 tff(18645,plain,
% 42.11/27.77 (v100(constB132)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18401, 18632, 18089])).
% 42.11/27.77 tff(18646,plain,
% 42.11/27.77 ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17393, 952, 18645])).
% 42.11/27.77 tff(18647,plain,
% 42.11/27.77 (~v90(constB132, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18646, 18644])).
% 42.11/27.77 tff(18648,plain,
% 42.11/27.77 (~v90(constB133, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17535, 18647])).
% 42.11/27.77 tff(18649,plain,
% 42.11/27.77 (v130(constB131, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17499, 2224, 18641])).
% 42.11/27.77 tff(18650,plain,
% 42.11/27.77 (v127(constB131, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17504, 18649])).
% 42.11/27.77 tff(18651,plain,
% 42.11/27.77 (v129(constB132, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17509, 18650])).
% 42.11/27.77 tff(18652,plain,
% 42.11/27.77 (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2))),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17516, 641, 18645])).
% 42.11/27.77 tff(18653,plain,
% 42.11/27.77 (v90(constB132, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18652, 18651])).
% 42.11/27.77 tff(18654,plain,
% 42.11/27.77 (v90(constB133, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17526, 18653])).
% 42.11/27.77 tff(18655,plain,
% 42.11/27.77 (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)) | v123(constB133)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17539, 979, 18611])).
% 42.11/27.77 tff(18656,plain,
% 42.11/27.77 (v123(constB133)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18655, 18654, 18648])).
% 42.11/27.77 tff(18657,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18658,plain,
% 42.11/27.77 (((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2)) <=> ((~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18659,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2)))),
% 42.11/27.77 inference(monotonicity,[status(thm)],[18658])).
% 42.11/27.77 tff(18660,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2))),
% 42.11/27.77 inference(transitivity,[status(thm)],[18659, 18657])).
% 42.11/27.77 tff(18661,plain,
% 42.11/27.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18662,plain,
% 42.11/27.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2)),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18661, 18660])).
% 42.11/27.77 tff(18663,plain,
% 42.11/27.77 ((~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18662, 783, 17572])).
% 42.11/27.77 tff(18664,plain,
% 42.11/27.77 (v100(constB134)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18663, 18654, 18621])).
% 42.11/27.77 tff(18665,plain,
% 42.11/27.77 ((~v129(constB134, bitIndex2)) | (~v100(constB134))),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17685, 641, 18621])).
% 42.11/27.77 tff(18666,plain,
% 42.11/27.77 (~v129(constB134, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18665, 18664])).
% 42.11/27.77 tff(18667,plain,
% 42.11/27.77 (~v127(constB133, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17678, 18666])).
% 42.11/27.77 tff(18668,plain,
% 42.11/27.77 (~v130(constB133, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17673, 18667])).
% 42.11/27.77 tff(18669,plain,
% 42.11/27.77 ($false),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17668, 1074, 18668, 18656])).
% 42.11/27.77 tff(18670,plain,((~v124(constB129)) | v90(constB134, bitIndex2) | (~v90(constB131, bitIndex0)) | v90(constB132, bitIndex1) | (~v100(constB130))), inference(lemma,lemma(discharge,[]))).
% 42.11/27.77 tff(18671,plain,
% 42.11/27.77 (~v124(constB129)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18670, 18542, 18621, 18089, 18620])).
% 42.11/27.77 tff(18672,plain,
% 42.11/27.77 (v129(constB130, bitIndex0) | (~v100(constB130))),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18168, 952, 18543])).
% 42.11/27.77 tff(18673,plain,
% 42.11/27.77 (v129(constB130, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18672, 18620])).
% 42.11/27.77 tff(18674,plain,
% 42.11/27.77 (v127(constB129, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17228, 18673])).
% 42.11/27.77 tff(18675,plain,
% 42.11/27.77 (v130(constB129, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17236, 18674])).
% 42.11/27.77 tff(18676,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB129)) | (~v130(constB129, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB129)) | (~v130(constB129, bitIndex0)))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18677,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB129)) | (~v130(constB129, bitIndex0)))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18678,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB129)) | (~v130(constB129, bitIndex0))),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18677, 18676])).
% 42.11/27.77 tff(18679,plain,
% 42.11/27.77 (~v120(constB129)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18678, 1826, 18675])).
% 42.11/27.77 tff(18680,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB129)) | (~v130(constB129, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB129)) | (~v130(constB129, bitIndex0)))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18681,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB129)) | (~v130(constB129, bitIndex0)))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18682,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB129)) | (~v130(constB129, bitIndex0))),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18681, 18680])).
% 42.11/27.77 tff(18683,plain,
% 42.11/27.77 (~v122(constB129)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18682, 2327, 18675])).
% 42.11/27.77 tff(18684,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB129)) | (~v130(constB129, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB129)) | (~v130(constB129, bitIndex0)))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18685,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB129)) | (~v130(constB129, bitIndex0)))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18686,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB129)) | (~v130(constB129, bitIndex0))),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18685, 18684])).
% 42.11/27.77 tff(18687,plain,
% 42.11/27.77 (~v119(constB129)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18686, 893, 18675])).
% 42.11/27.77 tff(18688,assumption,(~v90(constB131, bitIndex2)), introduced(assumption)).
% 42.11/27.77 tff(18689,assumption,(~v100(constB132)), introduced(assumption)).
% 42.11/27.77 tff(18690,plain,
% 42.11/27.77 (v90(constB132, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17460, 18689, 18639])).
% 42.11/27.77 tff(18691,plain,
% 42.11/27.77 (v90(constB133, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18285, 18690])).
% 42.11/27.77 tff(18692,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2)))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18693,plain,
% 42.11/27.77 (((~nextState(constB131, constB132)) | v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2))) <=> (v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2)))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18694,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2))))),
% 42.11/27.77 inference(monotonicity,[status(thm)],[18693])).
% 42.11/27.77 tff(18695,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2)))),
% 42.11/27.77 inference(transitivity,[status(thm)],[18694, 18692])).
% 42.11/27.77 tff(18696,plain,
% 42.11/27.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2)))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18697,plain,
% 42.11/27.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2))),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18696, 18695])).
% 42.11/27.77 tff(18698,plain,
% 42.11/27.77 (v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2))),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18697, 423, 17348])).
% 42.11/27.77 tff(18699,plain,
% 42.11/27.77 (~v90(constB132, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18698, 18689, 18688])).
% 42.11/27.77 tff(18700,plain,
% 42.11/27.77 (~v90(constB133, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18245, 18699])).
% 42.11/27.77 tff(18701,assumption,(~v90(constB133, bitIndex1)), introduced(assumption)).
% 42.11/27.77 tff(18702,plain,
% 42.11/27.77 ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex2) | v120(constB133)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18289, 1619, 18701])).
% 42.11/27.77 tff(18703,plain,
% 42.11/27.77 (v120(constB133)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18702, 18700, 18691])).
% 42.11/27.77 tff(18704,plain,
% 42.11/27.77 (v100(constB134)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18297, 18691, 18088])).
% 42.11/27.77 tff(18705,plain,
% 42.11/27.77 (~v129(constB134, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18299, 18704])).
% 42.11/27.77 tff(18706,plain,
% 42.11/27.77 (~v127(constB133, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17625, 18705])).
% 42.11/27.77 tff(18707,plain,
% 42.11/27.77 (~v130(constB133, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17620, 18706])).
% 42.11/27.77 tff(18708,plain,
% 42.11/27.77 ($false),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18305, 1788, 18707, 18703])).
% 42.11/27.77 tff(18709,plain,(v100(constB132) | v90(constB134, bitIndex1) | v90(constB134, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.77 tff(18710,plain,
% 42.11/27.77 (v100(constB132)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18709, 18688, 18088, 18611, 18542, 18087])).
% 42.11/27.77 tff(18711,plain,
% 42.11/27.77 (~v129(constB132, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18409, 18710])).
% 42.11/27.77 tff(18712,plain,
% 42.11/27.77 (~v127(constB131, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18414, 18711])).
% 42.11/27.77 tff(18713,plain,
% 42.11/27.77 (~v130(constB131, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18419, 18712])).
% 42.11/27.77 tff(18714,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB131)) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB131)) | v130(constB131, bitIndex1))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18715,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB131)) | v130(constB131, bitIndex1))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18716,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB131)) | v130(constB131, bitIndex1)),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18715, 18714])).
% 42.11/27.77 tff(18717,plain,
% 42.11/27.77 (~v120(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18716, 1788, 18713])).
% 42.11/27.77 tff(18718,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18719,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18720,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131)),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18719, 18718])).
% 42.11/27.77 tff(18721,plain,
% 42.11/27.77 (v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18720, 1619, 18542])).
% 42.11/27.77 tff(18722,plain,
% 42.11/27.77 (v90(constB131, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18721, 18717, 18688])).
% 42.11/27.77 tff(18723,plain,
% 42.11/27.77 ((~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17327, 2129, 18542])).
% 42.11/27.77 tff(18724,plain,
% 42.11/27.77 (v122(constB131)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18723, 18722, 18688])).
% 42.11/27.77 tff(18725,plain,
% 42.11/27.77 (~v130(constB131, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17372, 2327, 18724])).
% 42.11/27.77 tff(18726,plain,
% 42.11/27.77 (~v127(constB131, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17380, 18725])).
% 42.11/27.77 tff(18727,plain,
% 42.11/27.77 (~v129(constB132, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17385, 18726])).
% 42.11/27.77 tff(18728,plain,
% 42.11/27.77 ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17393, 952, 18710])).
% 42.11/27.77 tff(18729,plain,
% 42.11/27.77 (~v90(constB132, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18728, 18727])).
% 42.11/27.77 tff(18730,plain,
% 42.11/27.77 (~v90(constB133, bitIndex0)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17535, 18729])).
% 42.11/27.77 tff(18731,plain,
% 42.11/27.77 (v130(constB131, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17499, 2224, 18724])).
% 42.11/27.77 tff(18732,plain,
% 42.11/27.77 (v127(constB131, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17504, 18731])).
% 42.11/27.77 tff(18733,plain,
% 42.11/27.77 (v129(constB132, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17509, 18732])).
% 42.11/27.77 tff(18734,plain,
% 42.11/27.77 (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2))),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17516, 641, 18710])).
% 42.11/27.77 tff(18735,plain,
% 42.11/27.77 (v90(constB132, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18734, 18733])).
% 42.11/27.77 tff(18736,plain,
% 42.11/27.77 (v90(constB133, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17526, 18735])).
% 42.11/27.77 tff(18737,plain,
% 42.11/27.77 (v123(constB133)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18655, 18736, 18730])).
% 42.11/27.77 tff(18738,plain,
% 42.11/27.77 (v100(constB134)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18663, 18736, 18621])).
% 42.11/27.77 tff(18739,plain,
% 42.11/27.77 (~v129(constB134, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18665, 18738])).
% 42.11/27.77 tff(18740,plain,
% 42.11/27.77 (~v127(constB133, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17678, 18739])).
% 42.11/27.77 tff(18741,plain,
% 42.11/27.77 (~v130(constB133, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17673, 18740])).
% 42.11/27.77 tff(18742,plain,
% 42.11/27.77 ($false),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17668, 1074, 18741, 18737])).
% 42.11/27.77 tff(18743,plain,(v90(constB131, bitIndex2) | v90(constB134, bitIndex2) | v90(constB132, bitIndex1) | v90(constB134, bitIndex0) | v90(constB134, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.77 tff(18744,plain,
% 42.11/27.77 (v90(constB131, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18743, 18089, 18621, 18088, 18087])).
% 42.11/27.77 tff(18745,plain,
% 42.11/27.77 (v90(constB130, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17314, 18744])).
% 42.11/27.77 tff(18746,plain,
% 42.11/27.77 ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17305, 1452, 18620])).
% 42.11/27.77 tff(18747,plain,
% 42.11/27.77 (v129(constB130, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18746, 18745])).
% 42.11/27.77 tff(18748,plain,
% 42.11/27.77 (v127(constB129, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17301, 18747])).
% 42.11/27.77 tff(18749,plain,
% 42.11/27.77 (v130(constB129, bitIndex2)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17296, 18748])).
% 42.11/27.77 tff(18750,plain,
% 42.11/27.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, bitIndex2)))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18751,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, bitIndex2)))),
% 42.11/27.77 inference(quant_inst,[status(thm)],[])).
% 42.11/27.77 tff(18752,plain,
% 42.11/27.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, bitIndex2))),
% 42.11/27.77 inference(modus_ponens,[status(thm)],[18751, 18750])).
% 42.11/27.77 tff(18753,plain,
% 42.11/27.77 (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v124(constB129) | (~v130(constB129, bitIndex2))),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18752, 1405, 18308])).
% 42.11/27.77 tff(18754,plain,
% 42.11/27.77 (v121(constB129)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18753, 18749, 18687, 18683, 18679, 18671])).
% 42.11/27.77 tff(18755,plain,
% 42.11/27.77 ($false),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[17288, 1990, 18749, 18754])).
% 42.11/27.77 tff(18756,plain,(v90(constB132, bitIndex1) | v90(constB134, bitIndex2) | v90(constB134, bitIndex0) | v90(constB134, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.77 tff(18757,plain,
% 42.11/27.77 (v90(constB132, bitIndex1)),
% 42.11/27.77 inference(unit_resolution,[status(thm)],[18756, 18086, 18072, 18071])).
% 42.11/27.77 tff(18758,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18759,plain,
% 42.11/27.77 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 42.11/27.77 inference(rewrite,[status(thm)],[])).
% 42.11/27.77 tff(18760,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)))),
% 42.11/27.77 inference(monotonicity,[status(thm)],[18759])).
% 42.11/27.77 tff(18761,plain,
% 42.11/27.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 42.11/27.78 inference(transitivity,[status(thm)],[18760, 18758])).
% 42.11/27.78 tff(18762,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18763,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18762, 18761])).
% 42.11/27.78 tff(18764,plain,
% 42.11/27.78 ((~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18763, 1192, 17475])).
% 42.11/27.78 tff(18765,plain,
% 42.11/27.78 ((~v90(constB132, bitIndex1)) | v90(constB133, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18764, 17487])).
% 42.11/27.78 tff(18766,plain,
% 42.11/27.78 (v90(constB133, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18765, 18757])).
% 42.11/27.78 tff(18767,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18768,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18769,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18768, 18767])).
% 42.11/27.78 tff(18770,plain,
% 42.11/27.78 (~v119(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18769, 1380, 18766])).
% 42.11/27.78 tff(18771,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB133)) | (~v90(constB133, bitIndex1)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18772,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB133)) | (~v90(constB133, bitIndex1)))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18773,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB133)) | (~v90(constB133, bitIndex1))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18772, 18771])).
% 42.11/27.78 tff(18774,plain,
% 42.11/27.78 (~v120(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18773, 1391, 18766])).
% 42.11/27.78 tff(18775,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18776,plain,
% 42.11/27.78 (((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1)) <=> ((~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18777,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1)))),
% 42.11/27.78 inference(monotonicity,[status(thm)],[18776])).
% 42.11/27.78 tff(18778,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1))),
% 42.11/27.78 inference(transitivity,[status(thm)],[18777, 18775])).
% 42.11/27.78 tff(18779,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18780,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18779, 18778])).
% 42.11/27.78 tff(18781,plain,
% 42.11/27.78 ((~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18780, 1192, 17572])).
% 42.11/27.78 tff(18782,plain,
% 42.11/27.78 (v100(constB134)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18781, 18766, 18071])).
% 42.11/27.78 tff(18783,plain,
% 42.11/27.78 ((~v129(constB134, bitIndex1)) | (~v100(constB134))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17632, 1174, 18071])).
% 42.11/27.78 tff(18784,plain,
% 42.11/27.78 (~v129(constB134, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18783, 18782])).
% 42.11/27.78 tff(18785,plain,
% 42.11/27.78 (~v127(constB133, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17625, 18784])).
% 42.11/27.78 tff(18786,plain,
% 42.11/27.78 (~v130(constB133, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17620, 18785])).
% 42.11/27.78 tff(18787,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB133)) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB133)) | v130(constB133, bitIndex1))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18788,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB133)) | v130(constB133, bitIndex1))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18789,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB133)) | v130(constB133, bitIndex1)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18788, 18787])).
% 42.11/27.78 tff(18790,plain,
% 42.11/27.78 (~v121(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18789, 2050, 18786])).
% 42.11/27.78 tff(18791,plain,
% 42.11/27.78 ((~v129(constB134, bitIndex2)) | (~v100(constB134))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17685, 641, 18072])).
% 42.11/27.78 tff(18792,plain,
% 42.11/27.78 (~v129(constB134, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18791, 18782])).
% 42.11/27.78 tff(18793,plain,
% 42.11/27.78 (~v127(constB133, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17678, 18792])).
% 42.11/27.78 tff(18794,plain,
% 42.11/27.78 (~v130(constB133, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17673, 18793])).
% 42.11/27.78 tff(18795,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB133)) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB133)) | v130(constB133, bitIndex2))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18796,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB133)) | v130(constB133, bitIndex2))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18797,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB133)) | v130(constB133, bitIndex2)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18796, 18795])).
% 42.11/27.78 tff(18798,plain,
% 42.11/27.78 (~v122(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18797, 2224, 18794])).
% 42.11/27.78 tff(18799,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB133)) | (~v90(constB133, bitIndex1)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18800,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB133)) | (~v90(constB133, bitIndex1)))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18801,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB133)) | (~v90(constB133, bitIndex1))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18800, 18799])).
% 42.11/27.78 tff(18802,plain,
% 42.11/27.78 (~v123(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18801, 1358, 18766])).
% 42.11/27.78 tff(18803,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB133)) | (~v90(constB133, bitIndex1)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18804,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB133)) | (~v90(constB133, bitIndex1)))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18805,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB133)) | (~v90(constB133, bitIndex1))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18804, 18803])).
% 42.11/27.78 tff(18806,plain,
% 42.11/27.78 (~v124(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18805, 1369, 18766])).
% 42.11/27.78 tff(18807,plain,
% 42.11/27.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18808,plain,
% 42.11/27.78 ((v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18809,plain,
% 42.11/27.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))))),
% 42.11/27.78 inference(monotonicity,[status(thm)],[18808])).
% 42.11/27.78 tff(18810,plain,
% 42.11/27.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 42.11/27.78 inference(transitivity,[status(thm)],[18809, 18807])).
% 42.11/27.78 tff(18811,plain,
% 42.11/27.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18812,plain,
% 42.11/27.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 42.11/27.78 tff(18813,plain,
% 42.11/27.78 ((~v129(constB134, bitIndex0)) | (~v100(constB134))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18812, 1582, 18086])).
% 42.11/27.78 tff(18814,plain,
% 42.11/27.78 (~v129(constB134, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18813, 18782])).
% 42.11/27.78 tff(18815,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18816,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18817,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18816, 18815])).
% 42.11/27.78 tff(18818,plain,
% 42.11/27.78 ((~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18817, 1567, 17572])).
% 42.11/27.78 tff(18819,plain,
% 42.11/27.78 (~v127(constB133, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18818, 18814])).
% 42.11/27.78 tff(18820,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18821,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18822,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18821, 18820])).
% 42.11/27.78 tff(18823,plain,
% 42.11/27.78 ((~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18822, 1552, 17557])).
% 42.11/27.78 tff(18824,plain,
% 42.11/27.78 (~v130(constB133, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18823, 18819])).
% 42.11/27.78 tff(18825,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18826,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18827,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18826, 18825])).
% 42.11/27.78 tff(18828,plain,
% 42.11/27.78 ($false),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18827, 1538, 18824, 18806, 18802, 18798, 18790, 18774, 18770])).
% 42.11/27.78 tff(18829,plain,(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.78 tff(18830,plain,
% 42.11/27.78 (v90(constB135, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18829, 17975, 17940])).
% 42.11/27.78 tff(18831,assumption,(~v122(constB135)), introduced(assumption)).
% 42.11/27.78 tff(18832,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v122(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v122(constB135))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18833,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v122(constB135))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18834,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v122(constB135)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18833, 18832])).
% 42.11/27.78 tff(18835,plain,
% 42.11/27.78 ((~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18834, 2129, 18831])).
% 42.11/27.78 tff(18836,plain,
% 42.11/27.78 (~v90(constB135, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18835, 18830, 17975])).
% 42.11/27.78 tff(18837,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18838,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18839,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18838, 18837])).
% 42.11/27.78 tff(18840,plain,
% 42.11/27.78 (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18839, 1870, 17941])).
% 42.11/27.78 tff(18841,plain,
% 42.11/27.78 ($false),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18840, 18836, 18830, 17975])).
% 42.11/27.78 tff(18842,plain,(v90(constB135, bitIndex2) | v121(constB135) | v122(constB135) | v120(constB135)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.78 tff(18843,plain,
% 42.11/27.78 (v121(constB135)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18842, 18069, 17860, 17856])).
% 42.11/27.78 tff(18844,plain,
% 42.11/27.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB135)) | v117(constB135))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18845,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB135)) | v117(constB135))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18846,plain,
% 42.11/27.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB135)) | v117(constB135)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18845, 18844])).
% 42.11/27.78 tff(18847,plain,
% 42.11/27.78 (v117(constB135)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18846, 1881, 18843])).
% 42.11/27.78 tff(18848,plain,
% 42.11/27.78 ($false),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18003, 525, 18847, 17851])).
% 42.11/27.78 tff(18849,plain,(v100(constB136) | v90(constB135, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.78 tff(18850,plain,
% 42.11/27.78 (v100(constB136)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18849, 17774])).
% 42.11/27.78 tff(18851,plain,
% 42.11/27.78 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18852,plain,
% 42.11/27.78 (((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18853,plain,
% 42.11/27.78 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136))))),
% 42.11/27.78 inference(monotonicity,[status(thm)],[18852])).
% 42.11/27.78 tff(18854,plain,
% 42.11/27.78 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 42.11/27.78 inference(transitivity,[status(thm)],[18853, 18851])).
% 42.11/27.78 tff(18855,plain,
% 42.11/27.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18856,plain,
% 42.11/27.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18855, 18854])).
% 42.11/27.78 tff(18857,plain,
% 42.11/27.78 ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18856, 868, 18850])).
% 42.11/27.78 tff(18858,plain,
% 42.11/27.78 (~v90(constB136, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18857, 17740])).
% 42.11/27.78 tff(18859,plain,
% 42.11/27.78 ((~v1(constB137)) <=> (~v1(constB137))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18860,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 42.11/27.78 tff(18861,plain,
% 42.11/27.78 (~v1(constB137)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18860, 18859])).
% 42.11/27.78 tff(18862,plain,
% 42.11/27.78 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18863,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 42.11/27.78 tff(18864,plain,
% 42.11/27.78 (nextState(constB136, constB137)),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18863, 18862])).
% 42.11/27.78 tff(18865,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18866,plain,
% 42.11/27.78 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18867,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 42.11/27.78 inference(monotonicity,[status(thm)],[18866])).
% 42.11/27.78 tff(18868,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 42.11/27.78 inference(transitivity,[status(thm)],[18867, 18865])).
% 42.11/27.78 tff(18869,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18870,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18869, 18868])).
% 42.11/27.78 tff(18871,plain,
% 42.11/27.78 (~v101(constB137)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18870, 391, 18864, 18861])).
% 42.11/27.78 tff(18872,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18873,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18874,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18873, 18872])).
% 42.11/27.78 tff(18875,plain,
% 42.11/27.78 (v101(constB137) | (~v100(constB137))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18874, 408, 18864])).
% 42.11/27.78 tff(18876,plain,
% 42.11/27.78 (~v100(constB137)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18875, 18871])).
% 42.11/27.78 tff(18877,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18878,plain,
% 42.11/27.78 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18879,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1))))),
% 42.11/27.78 inference(monotonicity,[status(thm)],[18878])).
% 42.11/27.78 tff(18880,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 42.11/27.78 inference(transitivity,[status(thm)],[18879, 18877])).
% 42.11/27.78 tff(18881,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18882,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 42.11/27.78 tff(18883,plain,
% 42.11/27.78 (v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18882, 444, 18864])).
% 42.11/27.78 tff(18884,plain,
% 42.11/27.78 (v90(constB136, bitIndex1) | (~v90(constB137, bitIndex1))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18883, 18876])).
% 42.11/27.78 tff(18885,plain,
% 42.11/27.78 (~v90(constB137, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18884, 18858])).
% 42.11/27.78 tff(18886,assumption,(v123(constB133)), introduced(assumption)).
% 42.11/27.78 tff(18887,plain,
% 42.11/27.78 (v115(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17544, 990, 18886])).
% 42.11/27.78 tff(18888,plain,
% 42.11/27.78 (v114(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17548, 553, 18887])).
% 42.11/27.78 tff(18889,plain,
% 42.11/27.78 (v113(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17552, 567, 18888])).
% 42.11/27.78 tff(18890,plain,
% 42.11/27.78 (v112(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17561, 18889])).
% 42.11/27.78 tff(18891,plain,
% 42.11/27.78 (v108(constB133)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17568, 746, 18890])).
% 42.11/27.78 tff(18892,plain,
% 42.11/27.78 (v110(constB134)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17579, 18891])).
% 42.11/27.78 tff(18893,plain,
% 42.11/27.78 (v100(constB134)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17611, 18892])).
% 42.11/27.78 tff(18894,plain,
% 42.11/27.78 (v130(constB133, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17615, 1130, 18886])).
% 42.11/27.78 tff(18895,plain,
% 42.11/27.78 (v127(constB133, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17620, 18894])).
% 42.11/27.78 tff(18896,plain,
% 42.11/27.78 (v129(constB134, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17625, 18895])).
% 42.11/27.78 tff(18897,plain,
% 42.11/27.78 (v90(constB134, bitIndex1) | (~v100(constB134))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17632, 1174, 18896])).
% 42.11/27.78 tff(18898,plain,
% 42.11/27.78 (v90(constB134, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18897, 18893])).
% 42.11/27.78 tff(18899,plain,
% 42.11/27.78 (v90(constB135, bitIndex1)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17660, 18898])).
% 42.11/27.78 tff(18900,plain,
% 42.11/27.78 (~v119(constB135)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17664, 1380, 18899])).
% 42.11/27.78 tff(18901,plain,
% 42.11/27.78 (v130(constB133, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17668, 1074, 18886])).
% 42.11/27.78 tff(18902,plain,
% 42.11/27.78 (v127(constB133, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17673, 18901])).
% 42.11/27.78 tff(18903,plain,
% 42.11/27.78 (v129(constB134, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17678, 18902])).
% 42.11/27.78 tff(18904,plain,
% 42.11/27.78 (v90(constB134, bitIndex2) | (~v100(constB134))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17685, 641, 18903])).
% 42.11/27.78 tff(18905,plain,
% 42.11/27.78 (v90(constB134, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18904, 18893])).
% 42.11/27.78 tff(18906,plain,
% 42.11/27.78 (v90(constB135, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17695, 18905])).
% 42.11/27.78 tff(18907,plain,
% 42.11/27.78 (~v122(constB135)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17699, 1347, 18906])).
% 42.11/27.78 tff(18908,plain,
% 42.11/27.78 (~v130(constB133, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17743, 1208, 18886])).
% 42.11/27.78 tff(18909,plain,
% 42.11/27.78 (~v127(constB133, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17751, 18908])).
% 42.11/27.78 tff(18910,plain,
% 42.11/27.78 (~v129(constB134, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17756, 18909])).
% 42.11/27.78 tff(18911,plain,
% 42.11/27.78 ((~v90(constB134, bitIndex0)) | (~v100(constB134))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17763, 952, 18910])).
% 42.11/27.78 tff(18912,plain,
% 42.11/27.78 (~v90(constB134, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18911, 18893])).
% 42.11/27.78 tff(18913,plain,
% 42.11/27.78 (~v90(constB135, bitIndex0)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[17773, 18912])).
% 42.11/27.78 tff(18914,plain,
% 42.11/27.78 (v100(constB136)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18849, 18913])).
% 42.11/27.78 tff(18915,assumption,(v90(constB136, bitIndex2)), introduced(assumption)).
% 42.11/27.78 tff(18916,plain,
% 42.11/27.78 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18917,plain,
% 42.11/27.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 42.11/27.78 inference(quant_inst,[status(thm)],[])).
% 42.11/27.78 tff(18918,plain,
% 42.11/27.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))),
% 42.11/27.78 inference(modus_ponens,[status(thm)],[18917, 18916])).
% 42.11/27.78 tff(18919,plain,
% 42.11/27.78 (v129(constB136, bitIndex2) | (~v100(constB136))),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18918, 1452, 18915])).
% 42.11/27.78 tff(18920,plain,
% 42.11/27.78 (v129(constB136, bitIndex2)),
% 42.11/27.78 inference(unit_resolution,[status(thm)],[18919, 18914])).
% 42.11/27.78 tff(18921,plain,
% 42.11/27.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 42.11/27.78 inference(rewrite,[status(thm)],[])).
% 42.11/27.78 tff(18922,plain,
% 42.11/27.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18923,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18922, 18921])).
% 42.11/27.79 tff(18924,plain,
% 42.11/27.79 (v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18923, 1437, 17735])).
% 42.11/27.79 tff(18925,plain,
% 42.11/27.79 (v127(constB135, bitIndex2)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18924, 18920])).
% 42.11/27.79 tff(18926,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18927,plain,
% 42.11/27.79 ((v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2))) <=> ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18928,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[18927])).
% 42.11/27.79 tff(18929,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 42.11/27.79 inference(transitivity,[status(thm)],[18928, 18926])).
% 42.11/27.79 tff(18930,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18931,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 42.11/27.79 tff(18932,plain,
% 42.11/27.79 ((~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18931, 1419, 17724])).
% 42.11/27.79 tff(18933,plain,
% 42.11/27.79 (v130(constB135, bitIndex2)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18932, 18925])).
% 42.11/27.79 tff(18934,plain,
% 42.11/27.79 (~v121(constB135)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[17707, 1336, 18906])).
% 42.11/27.79 tff(18935,plain,
% 42.11/27.79 (~v123(constB135)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[17711, 1358, 18899])).
% 42.11/27.79 tff(18936,plain,
% 42.11/27.79 (~v124(constB135)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[17715, 1369, 18899])).
% 42.11/27.79 tff(18937,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18938,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18939,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18938, 18937])).
% 42.11/27.79 tff(18940,plain,
% 42.11/27.79 ($false),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18939, 1405, 18936, 18935, 18934, 17940, 18933, 18907, 18900])).
% 42.11/27.79 tff(18941,plain,((~v123(constB133)) | v120(constB135) | (~v90(constB136, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.11/27.79 tff(18942,plain,
% 42.11/27.79 (~v90(constB136, bitIndex2)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18941, 17704, 17541])).
% 42.11/27.79 tff(18943,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18944,plain,
% 42.11/27.79 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18945,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[18944])).
% 42.11/27.79 tff(18946,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[18945, 18943])).
% 42.11/27.79 tff(18947,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18948,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18947, 18946])).
% 42.11/27.79 tff(18949,plain,
% 42.11/27.79 (v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18948, 423, 18864])).
% 42.11/27.79 tff(18950,plain,
% 42.11/27.79 (v90(constB136, bitIndex2) | (~v90(constB137, bitIndex2))),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18949, 18876])).
% 42.11/27.79 tff(18951,plain,
% 42.11/27.79 (~v90(constB137, bitIndex2)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18950, 18942])).
% 42.11/27.79 tff(18952,plain,
% 42.11/27.79 ((~v100(constB136)) | v124(constB135) | v123(constB135) | v121(constB135) | v120(constB135) | v90(constB136, bitIndex0) | v90(constB136, bitIndex2)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[17949, 17724])).
% 42.11/27.79 tff(18953,plain,
% 42.11/27.79 (v90(constB136, bitIndex0)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18952, 18942, 17704, 18850, 17716, 17712, 17708])).
% 42.11/27.79 tff(18954,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18955,plain,
% 42.11/27.79 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18956,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0)))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[18955])).
% 42.11/27.79 tff(18957,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 42.11/27.79 inference(transitivity,[status(thm)],[18956, 18954])).
% 42.11/27.79 tff(18958,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18959,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18958, 18957])).
% 42.11/27.79 tff(18960,plain,
% 42.11/27.79 ((~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18959, 1600, 18864])).
% 42.11/27.79 tff(18961,plain,
% 42.11/27.79 ((~v90(constB136, bitIndex0)) | v90(constB137, bitIndex0)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18960, 18876])).
% 42.11/27.79 tff(18962,plain,
% 42.11/27.79 (v90(constB137, bitIndex0)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18961, 18953])).
% 42.11/27.79 tff(18963,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18964,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18965,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18964, 18963])).
% 42.11/27.79 tff(18966,plain,
% 42.11/27.79 (v90(constB137, bitIndex1) | v120(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18965, 1619, 18962, 18951])).
% 42.11/27.79 tff(18967,plain,
% 42.11/27.79 (v120(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18966, 18885])).
% 42.11/27.79 tff(18968,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB137)) | v130(constB137, bitIndex1))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18969,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB137)) | v130(constB137, bitIndex1))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18970,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB137)) | v130(constB137, bitIndex1)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18969, 18968])).
% 42.11/27.79 tff(18971,plain,
% 42.11/27.79 (v130(constB137, bitIndex1)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18970, 1788, 18967])).
% 42.11/27.79 tff(18972,assumption,(v26(constB137)), introduced(assumption)).
% 42.11/27.79 tff(18973,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18974,plain,
% 42.11/27.79 ($false),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18973, 95, 18972])).
% 42.11/27.79 tff(18975,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 42.11/27.79 tff(18976,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18977,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18978,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18977, 18976])).
% 42.11/27.79 tff(18979,plain,
% 42.11/27.79 ((~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18978, 1144, 18975])).
% 42.11/27.79 tff(18980,plain,
% 42.11/27.79 (v127(constB137, bitIndex1)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18979, 18971])).
% 42.11/27.79 tff(18981,plain,
% 42.11/27.79 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18982,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 42.11/27.79 tff(18983,plain,
% 42.11/27.79 (nextState(constB137, constB138)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18982, 18981])).
% 42.11/27.79 tff(18984,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18985,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18986,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18985, 18984])).
% 42.11/27.79 tff(18987,plain,
% 42.11/27.79 ((~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18986, 1159, 18983])).
% 42.11/27.79 tff(18988,plain,
% 42.11/27.79 (v129(constB138, bitIndex1)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18987, 18980])).
% 42.11/27.79 tff(18989,assumption,(v120(constB137)), introduced(assumption)).
% 42.11/27.79 tff(18990,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB137)) | v118(constB137))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB137)) | v118(constB137))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18991,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB137)) | v118(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18992,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB137)) | v118(constB137)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18991, 18990])).
% 42.11/27.79 tff(18993,plain,
% 42.11/27.79 (v118(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18992, 1630, 18989])).
% 42.11/27.79 tff(18994,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v118(constB137)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v118(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18995,plain,
% 42.11/27.79 (((~v118(constB137)) | v117(constB137)) <=> (v117(constB137) | (~v118(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(18996,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v118(constB137))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[18995])).
% 42.11/27.79 tff(18997,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v118(constB137)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[18996, 18994])).
% 42.11/27.79 tff(18998,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB137)) | v117(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(18999,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v118(constB137))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[18998, 18997])).
% 42.11/27.79 tff(19000,plain,
% 42.11/27.79 (v117(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[18999, 511, 18993])).
% 42.11/27.79 tff(19001,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19002,plain,
% 42.11/27.79 (((~v117(constB137)) | v116(constB137)) <=> (v116(constB137) | (~v117(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19003,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[19002])).
% 42.11/27.79 tff(19004,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[19003, 19001])).
% 42.11/27.79 tff(19005,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19006,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19005, 19004])).
% 42.11/27.79 tff(19007,plain,
% 42.11/27.79 (v116(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19006, 525, 19000])).
% 42.11/27.79 tff(19008,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19009,plain,
% 42.11/27.79 (((~v116(constB137)) | v115(constB137)) <=> (v115(constB137) | (~v116(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19010,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[19009])).
% 42.11/27.79 tff(19011,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[19010, 19008])).
% 42.11/27.79 tff(19012,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19013,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19012, 19011])).
% 42.11/27.79 tff(19014,plain,
% 42.11/27.79 (v115(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19013, 539, 19007])).
% 42.11/27.79 tff(19015,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19016,plain,
% 42.11/27.79 (((~v115(constB137)) | v114(constB137)) <=> (v114(constB137) | (~v115(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19017,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[19016])).
% 42.11/27.79 tff(19018,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[19017, 19015])).
% 42.11/27.79 tff(19019,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19020,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19019, 19018])).
% 42.11/27.79 tff(19021,plain,
% 42.11/27.79 (v114(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19020, 553, 19014])).
% 42.11/27.79 tff(19022,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB137)) | v113(constB137))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19023,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19024,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB137)) | v113(constB137)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19023, 19022])).
% 42.11/27.79 tff(19025,plain,
% 42.11/27.79 (v113(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19024, 567, 19021])).
% 42.11/27.79 tff(19026,assumption,(~v108(constB137)), introduced(assumption)).
% 42.11/27.79 tff(19027,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19028,plain,
% 42.11/27.79 (((~v112(constB137)) | v108(constB137)) <=> (v108(constB137) | (~v112(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19029,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[19028])).
% 42.11/27.79 tff(19030,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[19029, 19027])).
% 42.11/27.79 tff(19031,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19032,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19031, 19030])).
% 42.11/27.79 tff(19033,plain,
% 42.11/27.79 (~v112(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19032, 746, 19026])).
% 42.11/27.79 tff(19034,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v26(constB137)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v26(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19035,plain,
% 42.11/27.79 (((~v26(constB137)) | v108(constB137)) <=> (v108(constB137) | (~v26(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19036,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v26(constB137))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[19035])).
% 42.11/27.79 tff(19037,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v26(constB137)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[19036, 19034])).
% 42.11/27.79 tff(19038,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB137)) | v108(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19039,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v26(constB137))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19038, 19037])).
% 42.11/27.79 tff(19040,plain,
% 42.11/27.79 (~v26(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19039, 1925, 19026])).
% 42.11/27.79 tff(19041,assumption,(v113(constB137)), introduced(assumption)).
% 42.11/27.79 tff(19042,plain,
% 42.11/27.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19043,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19044,plain,
% 42.11/27.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19043, 19042])).
% 42.11/27.79 tff(19045,plain,
% 42.11/27.79 (v26(constB137) | v112(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19044, 581, 19041])).
% 42.11/27.79 tff(19046,plain,
% 42.11/27.79 ($false),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19045, 19040, 19033])).
% 42.11/27.79 tff(19047,plain,(v108(constB137) | (~v113(constB137))), inference(lemma,lemma(discharge,[]))).
% 42.11/27.79 tff(19048,plain,
% 42.11/27.79 (v108(constB137)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19047, 19025])).
% 42.11/27.79 tff(19049,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19050,plain,
% 42.11/27.79 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19051,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[19050])).
% 42.11/27.79 tff(19052,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[19051, 19049])).
% 42.11/27.79 tff(19053,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19054,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19053, 19052])).
% 42.11/27.79 tff(19055,plain,
% 42.11/27.79 (v110(constB138) | (~v108(constB137))),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19054, 731, 18983])).
% 42.11/27.79 tff(19056,plain,
% 42.11/27.79 (v110(constB138)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19055, 19048])).
% 42.11/27.79 tff(19057,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19058,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19059,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19058, 19057])).
% 42.11/27.79 tff(19060,plain,
% 42.11/27.79 (~v104(constB138)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19059, 659, 18983, 18861])).
% 42.11/27.79 tff(19061,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19062,plain,
% 42.11/27.79 (((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)) <=> ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19063,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138)))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[19062])).
% 42.11/27.79 tff(19064,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 42.11/27.79 inference(transitivity,[status(thm)],[19063, 19061])).
% 42.11/27.79 tff(19065,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19066,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 42.11/27.79 tff(19067,plain,
% 42.11/27.79 (v104(constB138) | v102(constB138)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19066, 673, 18983])).
% 42.11/27.79 tff(19068,plain,
% 42.11/27.79 (v102(constB138)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19067, 19060])).
% 42.11/27.79 tff(19069,plain,
% 42.11/27.79 (v1(constB138) <=> v1(constB138)),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19070,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 42.11/27.79 tff(19071,plain,
% 42.11/27.79 (v1(constB138)),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19070, 19069])).
% 42.11/27.79 tff(19072,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19073,plain,
% 42.11/27.79 (((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))) <=> ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19074,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[19073])).
% 42.11/27.79 tff(19075,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[19074, 19072])).
% 42.11/27.79 tff(19076,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19077,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 42.11/27.79 tff(19078,plain,
% 42.11/27.79 (v101(constB138) | (~v102(constB138))),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19077, 694, 18983, 19071])).
% 42.11/27.79 tff(19079,plain,
% 42.11/27.79 (v101(constB138)),
% 42.11/27.79 inference(unit_resolution,[status(thm)],[19078, 19068])).
% 42.11/27.79 tff(19080,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19081,plain,
% 42.11/27.79 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 42.11/27.79 inference(rewrite,[status(thm)],[])).
% 42.11/27.79 tff(19082,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 42.11/27.79 inference(monotonicity,[status(thm)],[19081])).
% 42.11/27.79 tff(19083,plain,
% 42.11/27.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 42.11/27.79 inference(transitivity,[status(thm)],[19082, 19080])).
% 42.11/27.79 tff(19084,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 42.11/27.79 inference(quant_inst,[status(thm)],[])).
% 42.11/27.79 tff(19085,plain,
% 42.11/27.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 42.11/27.79 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 42.11/27.80 tff(19086,plain,
% 42.11/27.80 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19085, 712, 18983])).
% 42.11/27.80 tff(19087,plain,
% 42.11/27.80 (v100(constB138) | (~v110(constB138))),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19086, 19079])).
% 42.11/27.80 tff(19088,plain,
% 42.11/27.80 (v100(constB138)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19087, 19056])).
% 42.11/27.80 tff(19089,assumption,(v90(constB138, bitIndex0)), introduced(assumption)).
% 42.11/27.80 tff(19090,plain,
% 42.11/27.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19091,plain,
% 42.11/27.80 (((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19092,plain,
% 42.11/27.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138))))),
% 42.11/27.80 inference(monotonicity,[status(thm)],[19091])).
% 42.11/27.80 tff(19093,plain,
% 42.11/27.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 42.11/27.80 inference(transitivity,[status(thm)],[19092, 19090])).
% 42.11/27.80 tff(19094,plain,
% 42.11/27.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))),
% 42.11/27.80 inference(quant_inst,[status(thm)],[])).
% 42.11/27.80 tff(19095,plain,
% 42.11/27.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138))),
% 42.11/27.80 inference(modus_ponens,[status(thm)],[19094, 19093])).
% 42.11/27.80 tff(19096,plain,
% 42.11/27.80 (v129(constB138, bitIndex0) | (~v100(constB138))),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19095, 952, 19089])).
% 42.11/27.80 tff(19097,plain,
% 42.11/27.80 (v129(constB138, bitIndex0)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19096, 19088])).
% 42.11/27.80 tff(19098,plain,
% 42.11/27.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19099,plain,
% 42.11/27.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))),
% 42.11/27.80 inference(quant_inst,[status(thm)],[])).
% 42.11/27.80 tff(19100,plain,
% 42.11/27.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 42.11/27.80 inference(modus_ponens,[status(thm)],[19099, 19098])).
% 42.11/27.80 tff(19101,plain,
% 42.11/27.80 (v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19100, 937, 18983])).
% 42.11/27.80 tff(19102,plain,
% 42.11/27.80 (v127(constB137, bitIndex0)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19101, 19097])).
% 42.11/27.80 tff(19103,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB137)) | (~v130(constB137, bitIndex0)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19104,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex0)))),
% 42.11/27.80 inference(quant_inst,[status(thm)],[])).
% 42.11/27.80 tff(19105,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB137)) | (~v130(constB137, bitIndex0))),
% 42.11/27.80 inference(modus_ponens,[status(thm)],[19104, 19103])).
% 42.11/27.80 tff(19106,plain,
% 42.11/27.80 (~v130(constB137, bitIndex0)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19105, 1826, 18989])).
% 42.11/27.80 tff(19107,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19108,plain,
% 42.11/27.80 ((v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0))) <=> ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19109,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0)))),
% 42.11/27.80 inference(monotonicity,[status(thm)],[19108])).
% 42.11/27.80 tff(19110,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 42.11/27.80 inference(transitivity,[status(thm)],[19109, 19107])).
% 42.11/27.80 tff(19111,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))),
% 42.11/27.80 inference(quant_inst,[status(thm)],[])).
% 42.11/27.80 tff(19112,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0)),
% 42.11/27.80 inference(modus_ponens,[status(thm)],[19111, 19110])).
% 42.11/27.80 tff(19113,plain,
% 42.11/27.80 ((~v127(constB137, bitIndex0)) | v26(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19112, 907, 19106])).
% 42.11/27.80 tff(19114,plain,
% 42.11/27.80 (v26(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19113, 19102])).
% 42.11/27.80 tff(19115,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB137)) | (~v127(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB137)) | (~v127(constB137, bitIndex0)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19116,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB137)) | (~v127(constB137, bitIndex0)))),
% 42.11/27.80 inference(quant_inst,[status(thm)],[])).
% 42.11/27.80 tff(19117,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB137)) | (~v127(constB137, bitIndex0))),
% 42.11/27.80 inference(modus_ponens,[status(thm)],[19116, 19115])).
% 42.11/27.80 tff(19118,plain,
% 42.11/27.80 ($false),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19117, 922, 19102, 19114])).
% 42.11/27.80 tff(19119,plain,((~v120(constB137)) | (~v90(constB138, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.11/27.80 tff(19120,plain,
% 42.11/27.80 (~v90(constB138, bitIndex0)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19119, 18967])).
% 42.11/27.80 tff(19121,assumption,(~v100(constB138)), introduced(assumption)).
% 42.11/27.80 tff(19122,plain,
% 42.11/27.80 (~v110(constB138)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19087, 19121])).
% 42.11/27.80 tff(19123,plain,
% 42.11/27.80 (~v108(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19055, 19122])).
% 42.11/27.80 tff(19124,plain,
% 42.11/27.80 (~v113(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19047, 19123])).
% 42.11/27.80 tff(19125,plain,
% 42.11/27.80 (~v114(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19024, 567, 19124])).
% 42.11/27.80 tff(19126,plain,
% 42.11/27.80 (~v115(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19020, 553, 19125])).
% 42.11/27.80 tff(19127,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v123(constB137)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v123(constB137)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19128,plain,
% 42.11/27.80 (((~v123(constB137)) | v115(constB137)) <=> (v115(constB137) | (~v123(constB137)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19129,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v123(constB137))))),
% 42.11/27.80 inference(monotonicity,[status(thm)],[19128])).
% 42.11/27.80 tff(19130,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v123(constB137)))),
% 42.11/27.80 inference(transitivity,[status(thm)],[19129, 19127])).
% 42.11/27.80 tff(19131,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB137)) | v115(constB137))),
% 42.11/27.80 inference(quant_inst,[status(thm)],[])).
% 42.11/27.80 tff(19132,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v123(constB137))),
% 42.11/27.80 inference(modus_ponens,[status(thm)],[19131, 19130])).
% 42.11/27.80 tff(19133,plain,
% 42.11/27.80 (~v123(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19132, 990, 19126])).
% 42.11/27.80 tff(19134,plain,
% 42.11/27.80 (~v116(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19013, 539, 19126])).
% 42.11/27.80 tff(19135,plain,
% 42.11/27.80 (~v117(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19006, 525, 19134])).
% 42.11/27.80 tff(19136,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v121(constB137)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19137,plain,
% 42.11/27.80 (((~v121(constB137)) | v117(constB137)) <=> (v117(constB137) | (~v121(constB137)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19138,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v121(constB137))))),
% 42.11/27.80 inference(monotonicity,[status(thm)],[19137])).
% 42.11/27.80 tff(19139,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137)))),
% 42.11/27.80 inference(transitivity,[status(thm)],[19138, 19136])).
% 42.11/27.80 tff(19140,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))),
% 42.11/27.80 inference(quant_inst,[status(thm)],[])).
% 42.11/27.80 tff(19141,plain,
% 42.11/27.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137))),
% 42.11/27.80 inference(modus_ponens,[status(thm)],[19140, 19139])).
% 42.11/27.80 tff(19142,plain,
% 42.11/27.80 (~v121(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19141, 1881, 19135])).
% 42.11/27.80 tff(19143,assumption,(~v90(constB138, bitIndex0)), introduced(assumption)).
% 42.11/27.80 tff(19144,plain,
% 42.11/27.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB137, bitIndex0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB137, bitIndex0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex0))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19145,plain,
% 42.11/27.80 (((~nextState(constB137, constB138)) | (~v90(constB137, bitIndex0)) | v100(constB138) | v90(constB138, bitIndex0)) <=> ((~v90(constB137, bitIndex0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex0))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19146,plain,
% 42.11/27.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v90(constB137, bitIndex0)) | v100(constB138) | v90(constB138, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB137, bitIndex0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex0)))),
% 42.11/27.80 inference(monotonicity,[status(thm)],[19145])).
% 42.11/27.80 tff(19147,plain,
% 42.11/27.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v90(constB137, bitIndex0)) | v100(constB138) | v90(constB138, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB137, bitIndex0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex0))),
% 42.11/27.80 inference(transitivity,[status(thm)],[19146, 19144])).
% 42.11/27.80 tff(19148,plain,
% 42.11/27.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v90(constB137, bitIndex0)) | v100(constB138) | v90(constB138, bitIndex0))),
% 42.11/27.80 inference(quant_inst,[status(thm)],[])).
% 42.11/27.80 tff(19149,plain,
% 42.11/27.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB137, bitIndex0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex0)),
% 42.11/27.80 inference(modus_ponens,[status(thm)],[19148, 19147])).
% 42.11/27.80 tff(19150,plain,
% 42.11/27.80 ((~v90(constB137, bitIndex0)) | v100(constB138) | v90(constB138, bitIndex0)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19149, 1600, 18983])).
% 42.11/27.80 tff(19151,plain,
% 42.11/27.80 (~v90(constB137, bitIndex0)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[19150, 19121, 19143])).
% 42.11/27.80 tff(19152,plain,
% 42.11/27.80 (~v118(constB137)),
% 42.11/27.80 inference(unit_resolution,[status(thm)],[18999, 511, 19135])).
% 42.11/27.80 tff(19153,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB137) | (~v119(constB137)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB137) | (~v119(constB137)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19154,plain,
% 42.11/27.80 (((~v119(constB137)) | v118(constB137)) <=> (v118(constB137) | (~v119(constB137)))),
% 42.11/27.80 inference(rewrite,[status(thm)],[])).
% 42.11/27.80 tff(19155,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB137)) | v118(constB137))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB137) | (~v119(constB137))))),
% 42.11/27.80 inference(monotonicity,[status(thm)],[19154])).
% 42.11/27.80 tff(19156,plain,
% 42.11/27.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB137)) | v118(constB137))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB137) | (~v119(constB137)))),
% 42.21/27.80 inference(transitivity,[status(thm)],[19155, 19153])).
% 42.21/27.80 tff(19157,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB137)) | v118(constB137))),
% 42.21/27.80 inference(quant_inst,[status(thm)],[])).
% 42.21/27.80 tff(19158,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB137) | (~v119(constB137))),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19157, 19156])).
% 42.21/27.80 tff(19159,plain,
% 42.21/27.80 (~v119(constB137)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19158, 500, 19152])).
% 42.21/27.80 tff(19160,assumption,(~v119(constB137)), introduced(assumption)).
% 42.21/27.80 tff(19161,assumption,(~v90(constB137, bitIndex2)), introduced(assumption)).
% 42.21/27.80 tff(19162,assumption,(~v121(constB137)), introduced(assumption)).
% 42.21/27.80 tff(19163,assumption,(~v90(constB137, bitIndex0)), introduced(assumption)).
% 42.21/27.80 tff(19164,plain,
% 42.21/27.80 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19165,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 42.21/27.80 inference(quant_inst,[status(thm)],[])).
% 42.21/27.80 tff(19166,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137)),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19165, 19164])).
% 42.21/27.80 tff(19167,plain,
% 42.21/27.80 ((~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19166, 1870, 19163])).
% 42.21/27.80 tff(19168,plain,
% 42.21/27.80 (~v90(constB137, bitIndex1)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19167, 19161, 19162])).
% 42.21/27.80 tff(19169,plain,
% 42.21/27.80 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v119(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v119(constB137))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19170,plain,
% 42.21/27.80 ((v90(constB137, bitIndex0) | v119(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2)) <=> (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v119(constB137))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19171,plain,
% 42.21/27.80 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB137, bitIndex0) | v119(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v119(constB137)))),
% 42.21/27.80 inference(monotonicity,[status(thm)],[19170])).
% 42.21/27.80 tff(19172,plain,
% 42.21/27.80 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB137, bitIndex0) | v119(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v119(constB137))),
% 42.21/27.80 inference(transitivity,[status(thm)],[19171, 19169])).
% 42.21/27.80 tff(19173,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB137, bitIndex0) | v119(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))),
% 42.21/27.80 inference(quant_inst,[status(thm)],[])).
% 42.21/27.80 tff(19174,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v119(constB137)),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19173, 19172])).
% 42.21/27.80 tff(19175,plain,
% 42.21/27.80 (v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v119(constB137)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19174, 486, 19163])).
% 42.21/27.80 tff(19176,plain,
% 42.21/27.80 ($false),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19175, 19168, 19161, 19160])).
% 42.21/27.80 tff(19177,plain,(v90(constB137, bitIndex2) | v119(constB137) | v90(constB137, bitIndex0) | v121(constB137)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.80 tff(19178,plain,
% 42.21/27.80 (v90(constB137, bitIndex2)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19177, 19159, 19151, 19142])).
% 42.21/27.80 tff(19179,plain,
% 42.21/27.80 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB137)) | v113(constB137))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19180,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB137)) | v113(constB137))),
% 42.21/27.80 inference(quant_inst,[status(thm)],[])).
% 42.21/27.80 tff(19181,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB137)) | v113(constB137)),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19180, 19179])).
% 42.21/27.80 tff(19182,plain,
% 42.21/27.80 (~v125(constB137)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19181, 1263, 19124])).
% 42.21/27.80 tff(19183,plain,
% 42.21/27.80 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19184,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137))),
% 42.21/27.80 inference(quant_inst,[status(thm)],[])).
% 42.21/27.80 tff(19185,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137)),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19184, 19183])).
% 42.21/27.80 tff(19186,plain,
% 42.21/27.80 ((~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19185, 1252, 19151])).
% 42.21/27.80 tff(19187,plain,
% 42.21/27.80 (~v90(constB137, bitIndex1)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19186, 19178, 19182])).
% 42.21/27.80 tff(19188,plain,
% 42.21/27.80 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19189,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137))),
% 42.21/27.80 inference(quant_inst,[status(thm)],[])).
% 42.21/27.80 tff(19190,plain,
% 42.21/27.80 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB137, bitIndex0) | v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137)),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19189, 19188])).
% 42.21/27.80 tff(19191,plain,
% 42.21/27.80 (v90(constB137, bitIndex1) | (~v90(constB137, bitIndex2)) | v123(constB137)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19190, 979, 19151])).
% 42.21/27.80 tff(19192,plain,
% 42.21/27.80 ($false),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19191, 19187, 19178, 19133])).
% 42.21/27.80 tff(19193,plain,(v100(constB138) | v90(constB138, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.80 tff(19194,plain,
% 42.21/27.80 (v100(constB138)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19193, 19120])).
% 42.21/27.80 tff(19195,plain,
% 42.21/27.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19196,plain,
% 42.21/27.80 ((v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19197,plain,
% 42.21/27.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))))),
% 42.21/27.80 inference(monotonicity,[status(thm)],[19196])).
% 42.21/27.80 tff(19198,plain,
% 42.21/27.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 42.21/27.80 inference(transitivity,[status(thm)],[19197, 19195])).
% 42.21/27.80 tff(19199,plain,
% 42.21/27.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))),
% 42.21/27.80 inference(quant_inst,[status(thm)],[])).
% 42.21/27.80 tff(19200,plain,
% 42.21/27.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19199, 19198])).
% 42.21/27.80 tff(19201,plain,
% 42.21/27.80 (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1))),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19200, 1174, 19194])).
% 42.21/27.80 tff(19202,plain,
% 42.21/27.80 (v90(constB138, bitIndex1)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19201, 18988])).
% 42.21/27.80 tff(19203,plain,
% 42.21/27.80 ((~v1(constB139)) <=> (~v1(constB139))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19204,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 42.21/27.80 tff(19205,plain,
% 42.21/27.80 (~v1(constB139)),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19204, 19203])).
% 42.21/27.80 tff(19206,plain,
% 42.21/27.80 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19207,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 42.21/27.80 tff(19208,plain,
% 42.21/27.80 (nextState(constB138, constB139)),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19207, 19206])).
% 42.21/27.80 tff(19209,plain,
% 42.21/27.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19210,plain,
% 42.21/27.80 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19211,plain,
% 42.21/27.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 42.21/27.80 inference(monotonicity,[status(thm)],[19210])).
% 42.21/27.80 tff(19212,plain,
% 42.21/27.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 42.21/27.80 inference(transitivity,[status(thm)],[19211, 19209])).
% 42.21/27.80 tff(19213,plain,
% 42.21/27.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 42.21/27.80 inference(quant_inst,[status(thm)],[])).
% 42.21/27.80 tff(19214,plain,
% 42.21/27.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19213, 19212])).
% 42.21/27.80 tff(19215,plain,
% 42.21/27.80 (~v101(constB139)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19214, 391, 19208, 19205])).
% 42.21/27.80 tff(19216,plain,
% 42.21/27.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 42.21/27.80 inference(rewrite,[status(thm)],[])).
% 42.21/27.80 tff(19217,plain,
% 42.21/27.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 42.21/27.80 inference(quant_inst,[status(thm)],[])).
% 42.21/27.80 tff(19218,plain,
% 42.21/27.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 42.21/27.80 inference(modus_ponens,[status(thm)],[19217, 19216])).
% 42.21/27.80 tff(19219,plain,
% 42.21/27.80 (v101(constB139) | (~v100(constB139))),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19218, 408, 19208])).
% 42.21/27.80 tff(19220,plain,
% 42.21/27.80 (~v100(constB139)),
% 42.21/27.80 inference(unit_resolution,[status(thm)],[19219, 19215])).
% 42.21/27.80 tff(19221,plain,
% 42.21/27.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19222,plain,
% 42.21/27.81 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19223,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19222])).
% 42.21/27.81 tff(19224,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19223, 19221])).
% 42.21/27.81 tff(19225,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19226,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19225, 19224])).
% 42.21/27.81 tff(19227,plain,
% 42.21/27.81 ((~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19226, 1192, 19208])).
% 42.21/27.81 tff(19228,plain,
% 42.21/27.81 ((~v90(constB138, bitIndex1)) | v90(constB139, bitIndex1)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19227, 19220])).
% 42.21/27.81 tff(19229,plain,
% 42.21/27.81 (v90(constB139, bitIndex1)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19228, 19202])).
% 42.21/27.81 tff(19230,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB137)) | (~v130(constB137, bitIndex2)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19231,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex2)))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19232,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB137)) | (~v130(constB137, bitIndex2))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19231, 19230])).
% 42.21/27.81 tff(19233,plain,
% 42.21/27.81 (~v130(constB137, bitIndex2)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19232, 1732, 18967])).
% 42.21/27.81 tff(19234,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19235,plain,
% 42.21/27.81 ((v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2))) <=> ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19236,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19235])).
% 42.21/27.81 tff(19237,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19236, 19234])).
% 42.21/27.81 tff(19238,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19239,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19238, 19237])).
% 42.21/27.81 tff(19240,plain,
% 42.21/27.81 ((~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19239, 1419, 18975])).
% 42.21/27.81 tff(19241,plain,
% 42.21/27.81 (~v127(constB137, bitIndex2)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19240, 19233])).
% 42.21/27.81 tff(19242,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19243,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19244,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19243, 19242])).
% 42.21/27.81 tff(19245,plain,
% 42.21/27.81 (v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19244, 1437, 18983])).
% 42.21/27.81 tff(19246,plain,
% 42.21/27.81 (~v129(constB138, bitIndex2)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19245, 19241])).
% 42.21/27.81 tff(19247,plain,
% 42.21/27.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19248,plain,
% 42.21/27.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19249,plain,
% 42.21/27.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19248, 19247])).
% 42.21/27.81 tff(19250,plain,
% 42.21/27.81 ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19249, 1452, 19194])).
% 42.21/27.81 tff(19251,plain,
% 42.21/27.81 (~v90(constB138, bitIndex2)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19250, 19246])).
% 42.21/27.81 tff(19252,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19253,plain,
% 42.21/27.81 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19254,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19253])).
% 42.21/27.81 tff(19255,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19254, 19252])).
% 42.21/27.81 tff(19256,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19257,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19256, 19255])).
% 42.21/27.81 tff(19258,plain,
% 42.21/27.81 (v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19257, 423, 19208])).
% 42.21/27.81 tff(19259,plain,
% 42.21/27.81 (v90(constB138, bitIndex2) | (~v90(constB139, bitIndex2))),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19258, 19220])).
% 42.21/27.81 tff(19260,plain,
% 42.21/27.81 (~v90(constB139, bitIndex2)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19259, 19251])).
% 42.21/27.81 tff(19261,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19262,plain,
% 42.21/27.81 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19263,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19262])).
% 42.21/27.81 tff(19264,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19263, 19261])).
% 42.21/27.81 tff(19265,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19266,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19265, 19264])).
% 42.21/27.81 tff(19267,plain,
% 42.21/27.81 (v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19266, 465, 19208])).
% 42.21/27.81 tff(19268,plain,
% 42.21/27.81 (v90(constB138, bitIndex0) | (~v90(constB139, bitIndex0))),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19267, 19220])).
% 42.21/27.81 tff(19269,plain,
% 42.21/27.81 (~v90(constB139, bitIndex0)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19268, 19120])).
% 42.21/27.81 tff(19270,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19271,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19272,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139)),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19271, 19270])).
% 42.21/27.81 tff(19273,plain,
% 42.21/27.81 ((~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19272, 1870, 19269])).
% 42.21/27.81 tff(19274,plain,
% 42.21/27.81 (v121(constB139)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19273, 19260, 19229])).
% 42.21/27.81 tff(19275,assumption,(v121(constB139)), introduced(assumption)).
% 42.21/27.81 tff(19276,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v121(constB139)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v121(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19277,plain,
% 42.21/27.81 (((~v121(constB139)) | v117(constB139)) <=> (v117(constB139) | (~v121(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19278,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v121(constB139))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19277])).
% 42.21/27.81 tff(19279,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v121(constB139)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19278, 19276])).
% 42.21/27.81 tff(19280,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19281,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v121(constB139))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19280, 19279])).
% 42.21/27.81 tff(19282,plain,
% 42.21/27.81 (v117(constB139)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19281, 1881, 19275])).
% 42.21/27.81 tff(19283,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v117(constB139)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19284,plain,
% 42.21/27.81 (((~v117(constB139)) | v116(constB139)) <=> (v116(constB139) | (~v117(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19285,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v117(constB139))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19284])).
% 42.21/27.81 tff(19286,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19285, 19283])).
% 42.21/27.81 tff(19287,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19288,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19287, 19286])).
% 42.21/27.81 tff(19289,plain,
% 42.21/27.81 (v116(constB139)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19288, 525, 19282])).
% 42.21/27.81 tff(19290,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19291,plain,
% 42.21/27.81 (((~v116(constB139)) | v115(constB139)) <=> (v115(constB139) | (~v116(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19292,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19291])).
% 42.21/27.81 tff(19293,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19292, 19290])).
% 42.21/27.81 tff(19294,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19295,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19294, 19293])).
% 42.21/27.81 tff(19296,plain,
% 42.21/27.81 (v115(constB139)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19295, 539, 19289])).
% 42.21/27.81 tff(19297,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19298,plain,
% 42.21/27.81 (((~v115(constB139)) | v114(constB139)) <=> (v114(constB139) | (~v115(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19299,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19298])).
% 42.21/27.81 tff(19300,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19299, 19297])).
% 42.21/27.81 tff(19301,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19302,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19301, 19300])).
% 42.21/27.81 tff(19303,plain,
% 42.21/27.81 (v114(constB139)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19302, 553, 19296])).
% 42.21/27.81 tff(19304,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19305,plain,
% 42.21/27.81 (((~v114(constB139)) | v113(constB139)) <=> (v113(constB139) | (~v114(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19306,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19305])).
% 42.21/27.81 tff(19307,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19306, 19304])).
% 42.21/27.81 tff(19308,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19309,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19308, 19307])).
% 42.21/27.81 tff(19310,plain,
% 42.21/27.81 (v113(constB139)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19309, 567, 19303])).
% 42.21/27.81 tff(19311,assumption,(v26(constB139)), introduced(assumption)).
% 42.21/27.81 tff(19312,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19313,plain,
% 42.21/27.81 ($false),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19312, 95, 19311])).
% 42.21/27.81 tff(19314,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.81 tff(19315,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19316,plain,
% 42.21/27.81 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19317,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19316])).
% 42.21/27.81 tff(19318,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19317, 19315])).
% 42.21/27.81 tff(19319,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19320,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19319, 19318])).
% 42.21/27.81 tff(19321,plain,
% 42.21/27.81 (v112(constB139) | (~v113(constB139))),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19320, 581, 19314])).
% 42.21/27.81 tff(19322,plain,
% 42.21/27.81 (v112(constB139)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19321, 19310])).
% 42.21/27.81 tff(19323,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19324,plain,
% 42.21/27.81 (((~v112(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v112(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19325,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19324])).
% 42.21/27.81 tff(19326,plain,
% 42.21/27.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19325, 19323])).
% 42.21/27.81 tff(19327,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19328,plain,
% 42.21/27.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19327, 19326])).
% 42.21/27.81 tff(19329,plain,
% 42.21/27.81 (v108(constB139)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19328, 746, 19322])).
% 42.21/27.81 tff(19330,plain,
% 42.21/27.81 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19331,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 42.21/27.81 tff(19332,plain,
% 42.21/27.81 (nextState(constB139, constB140)),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19331, 19330])).
% 42.21/27.81 tff(19333,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19334,plain,
% 42.21/27.81 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19335,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19334])).
% 42.21/27.81 tff(19336,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19335, 19333])).
% 42.21/27.81 tff(19337,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19338,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19337, 19336])).
% 42.21/27.81 tff(19339,plain,
% 42.21/27.81 (v110(constB140) | (~v108(constB139))),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19338, 731, 19332])).
% 42.21/27.81 tff(19340,plain,
% 42.21/27.81 (v110(constB140)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19339, 19329])).
% 42.21/27.81 tff(19341,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19342,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19343,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19342, 19341])).
% 42.21/27.81 tff(19344,plain,
% 42.21/27.81 (~v104(constB140)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19343, 659, 19332, 19205])).
% 42.21/27.81 tff(19345,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19346,plain,
% 42.21/27.81 (((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)) <=> ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19347,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140)))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19346])).
% 42.21/27.81 tff(19348,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19347, 19345])).
% 42.21/27.81 tff(19349,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19350,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140)),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19349, 19348])).
% 42.21/27.81 tff(19351,plain,
% 42.21/27.81 (v104(constB140) | v102(constB140)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19350, 673, 19332])).
% 42.21/27.81 tff(19352,plain,
% 42.21/27.81 (v102(constB140)),
% 42.21/27.81 inference(unit_resolution,[status(thm)],[19351, 19344])).
% 42.21/27.81 tff(19353,plain,
% 42.21/27.81 (v1(constB140) <=> v1(constB140)),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19354,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 42.21/27.81 tff(19355,plain,
% 42.21/27.81 (v1(constB140)),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19354, 19353])).
% 42.21/27.81 tff(19356,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19357,plain,
% 42.21/27.81 (((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))) <=> ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 42.21/27.81 inference(rewrite,[status(thm)],[])).
% 42.21/27.81 tff(19358,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140))))),
% 42.21/27.81 inference(monotonicity,[status(thm)],[19357])).
% 42.21/27.81 tff(19359,plain,
% 42.21/27.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 42.21/27.81 inference(transitivity,[status(thm)],[19358, 19356])).
% 42.21/27.81 tff(19360,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 42.21/27.81 inference(quant_inst,[status(thm)],[])).
% 42.21/27.81 tff(19361,plain,
% 42.21/27.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140))),
% 42.21/27.81 inference(modus_ponens,[status(thm)],[19360, 19359])).
% 42.21/27.81 tff(19362,plain,
% 42.21/27.81 (v101(constB140) | (~v102(constB140))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19361, 694, 19332, 19355])).
% 42.21/27.82 tff(19363,plain,
% 42.21/27.82 (v101(constB140)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19362, 19352])).
% 42.21/27.82 tff(19364,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19365,plain,
% 42.21/27.82 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19366,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 42.21/27.82 inference(monotonicity,[status(thm)],[19365])).
% 42.21/27.82 tff(19367,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 42.21/27.82 inference(transitivity,[status(thm)],[19366, 19364])).
% 42.21/27.82 tff(19368,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19369,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19368, 19367])).
% 42.21/27.82 tff(19370,plain,
% 42.21/27.82 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19369, 712, 19332])).
% 42.21/27.82 tff(19371,plain,
% 42.21/27.82 (v100(constB140) | (~v110(constB140))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19370, 19363])).
% 42.21/27.82 tff(19372,plain,
% 42.21/27.82 (v100(constB140)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19371, 19340])).
% 42.21/27.82 tff(19373,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19374,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19375,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2))),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19374, 19373])).
% 42.21/27.82 tff(19376,plain,
% 42.21/27.82 (~v130(constB139, bitIndex2)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19375, 1990, 19275])).
% 42.21/27.82 tff(19377,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19378,plain,
% 42.21/27.82 ((v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2))) <=> ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19379,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)))),
% 42.21/27.82 inference(monotonicity,[status(thm)],[19378])).
% 42.21/27.82 tff(19380,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 42.21/27.82 inference(transitivity,[status(thm)],[19379, 19377])).
% 42.21/27.82 tff(19381,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19382,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19381, 19380])).
% 42.21/27.82 tff(19383,plain,
% 42.21/27.82 ((~v127(constB139, bitIndex2)) | v130(constB139, bitIndex2)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19382, 1419, 19314])).
% 42.21/27.82 tff(19384,plain,
% 42.21/27.82 (~v127(constB139, bitIndex2)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19383, 19376])).
% 42.21/27.82 tff(19385,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19386,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19387,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19386, 19385])).
% 42.21/27.82 tff(19388,plain,
% 42.21/27.82 (v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19387, 1437, 19332])).
% 42.21/27.82 tff(19389,plain,
% 42.21/27.82 (~v129(constB140, bitIndex2)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19388, 19384])).
% 42.21/27.82 tff(19390,plain,
% 42.21/27.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19391,plain,
% 42.21/27.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19392,plain,
% 42.21/27.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140))),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19391, 19390])).
% 42.21/27.82 tff(19393,plain,
% 42.21/27.82 ((~v90(constB140, bitIndex2)) | (~v100(constB140))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19392, 1452, 19389])).
% 42.21/27.82 tff(19394,plain,
% 42.21/27.82 (~v90(constB140, bitIndex2)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19393, 19372])).
% 42.21/27.82 tff(19395,plain,
% 42.21/27.82 ((~v1(constB141)) <=> (~v1(constB141))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19396,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 42.21/27.82 tff(19397,plain,
% 42.21/27.82 (~v1(constB141)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19396, 19395])).
% 42.21/27.82 tff(19398,plain,
% 42.21/27.82 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19399,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 42.21/27.82 tff(19400,plain,
% 42.21/27.82 (nextState(constB140, constB141)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19399, 19398])).
% 42.21/27.82 tff(19401,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19402,plain,
% 42.21/27.82 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19403,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 42.21/27.82 inference(monotonicity,[status(thm)],[19402])).
% 42.21/27.82 tff(19404,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 42.21/27.82 inference(transitivity,[status(thm)],[19403, 19401])).
% 42.21/27.82 tff(19405,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19406,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19405, 19404])).
% 42.21/27.82 tff(19407,plain,
% 42.21/27.82 (~v101(constB141)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19406, 391, 19400, 19397])).
% 42.21/27.82 tff(19408,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19409,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19410,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19409, 19408])).
% 42.21/27.82 tff(19411,plain,
% 42.21/27.82 (v101(constB141) | (~v100(constB141))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19410, 408, 19400])).
% 42.21/27.82 tff(19412,plain,
% 42.21/27.82 (~v100(constB141)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19411, 19407])).
% 42.21/27.82 tff(19413,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19414,plain,
% 42.21/27.82 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19415,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2))))),
% 42.21/27.82 inference(monotonicity,[status(thm)],[19414])).
% 42.21/27.82 tff(19416,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 42.21/27.82 inference(transitivity,[status(thm)],[19415, 19413])).
% 42.21/27.82 tff(19417,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19418,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2))),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19417, 19416])).
% 42.21/27.82 tff(19419,plain,
% 42.21/27.82 (v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19418, 423, 19400])).
% 42.21/27.82 tff(19420,plain,
% 42.21/27.82 (v90(constB140, bitIndex2) | (~v90(constB141, bitIndex2))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19419, 19412])).
% 42.21/27.82 tff(19421,plain,
% 42.21/27.82 (~v90(constB141, bitIndex2)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19420, 19394])).
% 42.21/27.82 tff(19422,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB139)) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB139)) | v130(constB139, bitIndex0))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19423,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB139)) | v130(constB139, bitIndex0))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19424,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB139)) | v130(constB139, bitIndex0)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19423, 19422])).
% 42.21/27.82 tff(19425,plain,
% 42.21/27.82 (v130(constB139, bitIndex0)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19424, 2088, 19275])).
% 42.21/27.82 tff(19426,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19427,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19428,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19427, 19426])).
% 42.21/27.82 tff(19429,plain,
% 42.21/27.82 ((~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19428, 1552, 19314])).
% 42.21/27.82 tff(19430,plain,
% 42.21/27.82 (v127(constB139, bitIndex0)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19429, 19425])).
% 42.21/27.82 tff(19431,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19432,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19433,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19432, 19431])).
% 42.21/27.82 tff(19434,plain,
% 42.21/27.82 ((~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19433, 1567, 19332])).
% 42.21/27.82 tff(19435,plain,
% 42.21/27.82 (v129(constB140, bitIndex0)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19434, 19430])).
% 42.21/27.82 tff(19436,plain,
% 42.21/27.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19437,plain,
% 42.21/27.82 ((v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19438,plain,
% 42.21/27.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140))))),
% 42.21/27.82 inference(monotonicity,[status(thm)],[19437])).
% 42.21/27.82 tff(19439,plain,
% 42.21/27.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 42.21/27.82 inference(transitivity,[status(thm)],[19438, 19436])).
% 42.21/27.82 tff(19440,plain,
% 42.21/27.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19441,plain,
% 42.21/27.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140))),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19440, 19439])).
% 42.21/27.82 tff(19442,plain,
% 42.21/27.82 (v90(constB140, bitIndex0) | (~v100(constB140))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19441, 1582, 19435])).
% 42.21/27.82 tff(19443,plain,
% 42.21/27.82 (v90(constB140, bitIndex0)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19442, 19372])).
% 42.21/27.82 tff(19444,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19445,plain,
% 42.21/27.82 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19446,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0)))),
% 42.21/27.82 inference(monotonicity,[status(thm)],[19445])).
% 42.21/27.82 tff(19447,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 42.21/27.82 inference(transitivity,[status(thm)],[19446, 19444])).
% 42.21/27.82 tff(19448,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19449,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19448, 19447])).
% 42.21/27.82 tff(19450,plain,
% 42.21/27.82 ((~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19449, 1600, 19400])).
% 42.21/27.82 tff(19451,plain,
% 42.21/27.82 ((~v90(constB140, bitIndex0)) | v90(constB141, bitIndex0)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19450, 19412])).
% 42.21/27.82 tff(19452,plain,
% 42.21/27.82 (v90(constB141, bitIndex0)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19451, 19443])).
% 42.21/27.82 tff(19453,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB139)) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB139)) | v130(constB139, bitIndex1))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19454,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB139)) | v130(constB139, bitIndex1))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19455,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB139)) | v130(constB139, bitIndex1)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19454, 19453])).
% 42.21/27.82 tff(19456,plain,
% 42.21/27.82 (v130(constB139, bitIndex1)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19455, 2050, 19275])).
% 42.21/27.82 tff(19457,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19458,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19459,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 42.21/27.82 tff(19460,plain,
% 42.21/27.82 ((~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19459, 1144, 19314])).
% 42.21/27.82 tff(19461,plain,
% 42.21/27.82 (v127(constB139, bitIndex1)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19460, 19456])).
% 42.21/27.82 tff(19462,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19463,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19464,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19463, 19462])).
% 42.21/27.82 tff(19465,plain,
% 42.21/27.82 ((~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19464, 1159, 19332])).
% 42.21/27.82 tff(19466,plain,
% 42.21/27.82 (v129(constB140, bitIndex1)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19465, 19461])).
% 42.21/27.82 tff(19467,plain,
% 42.21/27.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19468,plain,
% 42.21/27.82 ((v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19469,plain,
% 42.21/27.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140))))),
% 42.21/27.82 inference(monotonicity,[status(thm)],[19468])).
% 42.21/27.82 tff(19470,plain,
% 42.21/27.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 42.21/27.82 inference(transitivity,[status(thm)],[19469, 19467])).
% 42.21/27.82 tff(19471,plain,
% 42.21/27.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19472,plain,
% 42.21/27.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140))),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19471, 19470])).
% 42.21/27.82 tff(19473,plain,
% 42.21/27.82 (v90(constB140, bitIndex1) | (~v100(constB140))),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19472, 1174, 19466])).
% 42.21/27.82 tff(19474,plain,
% 42.21/27.82 (v90(constB140, bitIndex1)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19473, 19372])).
% 42.21/27.82 tff(19475,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19476,plain,
% 42.21/27.82 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19477,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1)))),
% 42.21/27.82 inference(monotonicity,[status(thm)],[19476])).
% 42.21/27.82 tff(19478,plain,
% 42.21/27.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 42.21/27.82 inference(transitivity,[status(thm)],[19477, 19475])).
% 42.21/27.82 tff(19479,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19480,plain,
% 42.21/27.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 42.21/27.82 tff(19481,plain,
% 42.21/27.82 ((~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19480, 1192, 19400])).
% 42.21/27.82 tff(19482,plain,
% 42.21/27.82 ((~v90(constB140, bitIndex1)) | v90(constB141, bitIndex1)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19481, 19412])).
% 42.21/27.82 tff(19483,plain,
% 42.21/27.82 (v90(constB141, bitIndex1)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19482, 19474])).
% 42.21/27.82 tff(19484,assumption,(~v122(constB141)), introduced(assumption)).
% 42.21/27.82 tff(19485,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19486,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))),
% 42.21/27.82 inference(quant_inst,[status(thm)],[])).
% 42.21/27.82 tff(19487,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141)),
% 42.21/27.82 inference(modus_ponens,[status(thm)],[19486, 19485])).
% 42.21/27.82 tff(19488,plain,
% 42.21/27.82 ((~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19487, 2129, 19484])).
% 42.21/27.82 tff(19489,plain,
% 42.21/27.82 ($false),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19488, 19483, 19452, 19421])).
% 42.21/27.82 tff(19490,plain,((~v121(constB139)) | v122(constB141)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.82 tff(19491,plain,
% 42.21/27.82 (v122(constB141)),
% 42.21/27.82 inference(unit_resolution,[status(thm)],[19490, 19274])).
% 42.21/27.82 tff(19492,plain,
% 42.21/27.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 42.21/27.82 inference(rewrite,[status(thm)],[])).
% 42.21/27.82 tff(19493,plain,
% 42.21/27.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19494,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19493, 19492])).
% 42.21/27.83 tff(19495,plain,
% 42.21/27.83 (~v130(constB141, bitIndex0)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19494, 2327, 19491])).
% 42.21/27.83 tff(19496,assumption,(~v130(constB141, bitIndex0)), introduced(assumption)).
% 42.21/27.83 tff(19497,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB141)) | v130(constB141, bitIndex0))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19498,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB141)) | v130(constB141, bitIndex0))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19499,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB141)) | v130(constB141, bitIndex0)),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19498, 19497])).
% 42.21/27.83 tff(19500,plain,
% 42.21/27.83 (~v124(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19499, 4083, 19496])).
% 42.21/27.83 tff(19501,assumption,(~v115(constB141)), introduced(assumption)).
% 42.21/27.83 tff(19502,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v123(constB141)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19503,plain,
% 42.21/27.83 (((~v123(constB141)) | v115(constB141)) <=> (v115(constB141) | (~v123(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19504,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v123(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19503])).
% 42.21/27.83 tff(19505,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19504, 19502])).
% 42.21/27.83 tff(19506,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19507,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19506, 19505])).
% 42.21/27.83 tff(19508,plain,
% 42.21/27.83 (~v123(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19507, 990, 19501])).
% 42.21/27.83 tff(19509,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v116(constB141)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v116(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19510,plain,
% 42.21/27.83 (((~v116(constB141)) | v115(constB141)) <=> (v115(constB141) | (~v116(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19511,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v116(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19510])).
% 42.21/27.83 tff(19512,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v116(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19511, 19509])).
% 42.21/27.83 tff(19513,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB141)) | v115(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19514,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v116(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 42.21/27.83 tff(19515,plain,
% 42.21/27.83 (~v116(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19514, 539, 19501])).
% 42.21/27.83 tff(19516,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB141) | (~v122(constB141)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB141) | (~v122(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19517,plain,
% 42.21/27.83 (((~v122(constB141)) | v116(constB141)) <=> (v116(constB141) | (~v122(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19518,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB141)) | v116(constB141))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB141) | (~v122(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19517])).
% 42.21/27.83 tff(19519,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB141)) | v116(constB141))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB141) | (~v122(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19518, 19516])).
% 42.21/27.83 tff(19520,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB141)) | v116(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19521,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB141) | (~v122(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19520, 19519])).
% 42.21/27.83 tff(19522,plain,
% 42.21/27.83 (~v122(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19521, 2140, 19515])).
% 42.21/27.83 tff(19523,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB141)) | v130(constB141, bitIndex0))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19524,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB141)) | v130(constB141, bitIndex0))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19525,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB141)) | v130(constB141, bitIndex0)),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 42.21/27.83 tff(19526,plain,
% 42.21/27.83 (~v121(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19525, 2088, 19496])).
% 42.21/27.83 tff(19527,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB141) | (~v117(constB141)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB141) | (~v117(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19528,plain,
% 42.21/27.83 (((~v117(constB141)) | v116(constB141)) <=> (v116(constB141) | (~v117(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19529,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB141)) | v116(constB141))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB141) | (~v117(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19528])).
% 42.21/27.83 tff(19530,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB141)) | v116(constB141))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB141) | (~v117(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19529, 19527])).
% 42.21/27.83 tff(19531,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB141)) | v116(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19532,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB141) | (~v117(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19531, 19530])).
% 42.21/27.83 tff(19533,plain,
% 42.21/27.83 (~v117(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19532, 525, 19515])).
% 42.21/27.83 tff(19534,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB141) | (~v118(constB141)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB141) | (~v118(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19535,plain,
% 42.21/27.83 (((~v118(constB141)) | v117(constB141)) <=> (v117(constB141) | (~v118(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19536,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB141)) | v117(constB141))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB141) | (~v118(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19535])).
% 42.21/27.83 tff(19537,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB141)) | v117(constB141))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB141) | (~v118(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19536, 19534])).
% 42.21/27.83 tff(19538,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB141)) | v117(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19539,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB141) | (~v118(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19538, 19537])).
% 42.21/27.83 tff(19540,plain,
% 42.21/27.83 (~v118(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19539, 511, 19533])).
% 42.21/27.83 tff(19541,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB141) | (~v120(constB141)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB141) | (~v120(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19542,plain,
% 42.21/27.83 (((~v120(constB141)) | v118(constB141)) <=> (v118(constB141) | (~v120(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19543,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB141)) | v118(constB141))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB141) | (~v120(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19542])).
% 42.21/27.83 tff(19544,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB141)) | v118(constB141))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB141) | (~v120(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19543, 19541])).
% 42.21/27.83 tff(19545,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB141)) | v118(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19546,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB141) | (~v120(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19545, 19544])).
% 42.21/27.83 tff(19547,plain,
% 42.21/27.83 (~v120(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19546, 1630, 19540])).
% 42.21/27.83 tff(19548,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB141) | (~v119(constB141)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB141) | (~v119(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19549,plain,
% 42.21/27.83 (((~v119(constB141)) | v118(constB141)) <=> (v118(constB141) | (~v119(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19550,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB141)) | v118(constB141))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB141) | (~v119(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19549])).
% 42.21/27.83 tff(19551,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB141)) | v118(constB141))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB141) | (~v119(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19550, 19548])).
% 42.21/27.83 tff(19552,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB141)) | v118(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19553,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB141) | (~v119(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19552, 19551])).
% 42.21/27.83 tff(19554,plain,
% 42.21/27.83 (~v119(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19553, 500, 19540])).
% 42.21/27.83 tff(19555,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19556,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19557,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | v130(constB141, bitIndex0)),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19556, 19555])).
% 42.21/27.83 tff(19558,plain,
% 42.21/27.83 (v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19557, 1538, 19496])).
% 42.21/27.83 tff(19559,plain,
% 42.21/27.83 ($false),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19558, 19554, 19547, 19526, 19522, 19508, 19500])).
% 42.21/27.83 tff(19560,plain,(v115(constB141) | v130(constB141, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.83 tff(19561,plain,
% 42.21/27.83 (v115(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19560, 19495])).
% 42.21/27.83 tff(19562,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19563,plain,
% 42.21/27.83 (((~v115(constB141)) | v114(constB141)) <=> (v114(constB141) | (~v115(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19564,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19563])).
% 42.21/27.83 tff(19565,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19564, 19562])).
% 42.21/27.83 tff(19566,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19567,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19566, 19565])).
% 42.21/27.83 tff(19568,plain,
% 42.21/27.83 (v114(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19567, 553, 19561])).
% 42.21/27.83 tff(19569,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19570,plain,
% 42.21/27.83 (((~v114(constB141)) | v113(constB141)) <=> (v113(constB141) | (~v114(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19571,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v114(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19570])).
% 42.21/27.83 tff(19572,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19571, 19569])).
% 42.21/27.83 tff(19573,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19574,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19573, 19572])).
% 42.21/27.83 tff(19575,plain,
% 42.21/27.83 (v113(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19574, 567, 19568])).
% 42.21/27.83 tff(19576,assumption,(~v108(constB141)), introduced(assumption)).
% 42.21/27.83 tff(19577,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19578,plain,
% 42.21/27.83 (((~v112(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v112(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19579,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19578])).
% 42.21/27.83 tff(19580,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19579, 19577])).
% 42.21/27.83 tff(19581,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19582,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19581, 19580])).
% 42.21/27.83 tff(19583,plain,
% 42.21/27.83 (~v112(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19582, 746, 19576])).
% 42.21/27.83 tff(19584,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v26(constB141)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v26(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19585,plain,
% 42.21/27.83 (((~v26(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v26(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19586,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v26(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19585])).
% 42.21/27.83 tff(19587,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v26(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19586, 19584])).
% 42.21/27.83 tff(19588,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB141)) | v108(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19589,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v26(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19588, 19587])).
% 42.21/27.83 tff(19590,plain,
% 42.21/27.83 (~v26(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19589, 1925, 19576])).
% 42.21/27.83 tff(19591,assumption,(v113(constB141)), introduced(assumption)).
% 42.21/27.83 tff(19592,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19593,plain,
% 42.21/27.83 ((v26(constB141) | (~v113(constB141)) | v112(constB141)) <=> (v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19594,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19593])).
% 42.21/27.83 tff(19595,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19594, 19592])).
% 42.21/27.83 tff(19596,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19597,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19596, 19595])).
% 42.21/27.83 tff(19598,plain,
% 42.21/27.83 (v26(constB141) | v112(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19597, 581, 19591])).
% 42.21/27.83 tff(19599,plain,
% 42.21/27.83 ($false),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19598, 19590, 19583])).
% 42.21/27.83 tff(19600,plain,(v108(constB141) | (~v113(constB141))), inference(lemma,lemma(discharge,[]))).
% 42.21/27.83 tff(19601,plain,
% 42.21/27.83 (v108(constB141)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19600, 19575])).
% 42.21/27.83 tff(19602,plain,
% 42.21/27.83 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19603,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 42.21/27.83 tff(19604,plain,
% 42.21/27.83 (nextState(constB141, constB142)),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19603, 19602])).
% 42.21/27.83 tff(19605,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19606,plain,
% 42.21/27.83 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19607,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19606])).
% 42.21/27.83 tff(19608,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19607, 19605])).
% 42.21/27.83 tff(19609,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19610,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19609, 19608])).
% 42.21/27.83 tff(19611,plain,
% 42.21/27.83 (v110(constB142) | (~v108(constB141))),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19610, 731, 19604])).
% 42.21/27.83 tff(19612,plain,
% 42.21/27.83 (v110(constB142)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19611, 19601])).
% 42.21/27.83 tff(19613,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19614,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19615,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19614, 19613])).
% 42.21/27.83 tff(19616,plain,
% 42.21/27.83 (~v104(constB142)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19615, 659, 19604, 19397])).
% 42.21/27.83 tff(19617,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19618,plain,
% 42.21/27.83 (((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)) <=> ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19619,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142)))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19618])).
% 42.21/27.83 tff(19620,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19619, 19617])).
% 42.21/27.83 tff(19621,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19622,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142)),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19621, 19620])).
% 42.21/27.83 tff(19623,plain,
% 42.21/27.83 (v104(constB142) | v102(constB142)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19622, 673, 19604])).
% 42.21/27.83 tff(19624,plain,
% 42.21/27.83 (v102(constB142)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19623, 19616])).
% 42.21/27.83 tff(19625,plain,
% 42.21/27.83 (v1(constB142) <=> v1(constB142)),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19626,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 42.21/27.83 tff(19627,plain,
% 42.21/27.83 (v1(constB142)),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19626, 19625])).
% 42.21/27.83 tff(19628,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19629,plain,
% 42.21/27.83 (((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))) <=> ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19630,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19629])).
% 42.21/27.83 tff(19631,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19630, 19628])).
% 42.21/27.83 tff(19632,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19633,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19632, 19631])).
% 42.21/27.83 tff(19634,plain,
% 42.21/27.83 (v101(constB142) | (~v102(constB142))),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19633, 694, 19604, 19627])).
% 42.21/27.83 tff(19635,plain,
% 42.21/27.83 (v101(constB142)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19634, 19624])).
% 42.21/27.83 tff(19636,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19637,plain,
% 42.21/27.83 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19638,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19637])).
% 42.21/27.83 tff(19639,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19638, 19636])).
% 42.21/27.83 tff(19640,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19641,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19640, 19639])).
% 42.21/27.83 tff(19642,plain,
% 42.21/27.83 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19641, 712, 19604])).
% 42.21/27.83 tff(19643,plain,
% 42.21/27.83 (v100(constB142) | (~v110(constB142))),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19642, 19635])).
% 42.21/27.83 tff(19644,plain,
% 42.21/27.83 (v100(constB142)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19643, 19612])).
% 42.21/27.83 tff(19645,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19646,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19647,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2)),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19646, 19645])).
% 42.21/27.83 tff(19648,plain,
% 42.21/27.83 (v130(constB141, bitIndex2)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19647, 2224, 19491])).
% 42.21/27.83 tff(19649,assumption,(v26(constB141)), introduced(assumption)).
% 42.21/27.83 tff(19650,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19651,plain,
% 42.21/27.83 ($false),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19650, 95, 19649])).
% 42.21/27.83 tff(19652,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.83 tff(19653,plain,
% 42.21/27.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19654,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19655,plain,
% 42.21/27.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19654, 19653])).
% 42.21/27.83 tff(19656,plain,
% 42.21/27.83 ((~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19655, 607, 19652])).
% 42.21/27.83 tff(19657,plain,
% 42.21/27.83 (v127(constB141, bitIndex2)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19656, 19648])).
% 42.21/27.83 tff(19658,plain,
% 42.21/27.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19659,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19660,plain,
% 42.21/27.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19659, 19658])).
% 42.21/27.83 tff(19661,plain,
% 42.21/27.83 ((~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19660, 625, 19604])).
% 42.21/27.83 tff(19662,plain,
% 42.21/27.83 (v129(constB142, bitIndex2)),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19661, 19657])).
% 42.21/27.83 tff(19663,plain,
% 42.21/27.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19664,plain,
% 42.21/27.83 ((v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 42.21/27.83 inference(rewrite,[status(thm)],[])).
% 42.21/27.83 tff(19665,plain,
% 42.21/27.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))))),
% 42.21/27.83 inference(monotonicity,[status(thm)],[19664])).
% 42.21/27.83 tff(19666,plain,
% 42.21/27.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 42.21/27.83 inference(transitivity,[status(thm)],[19665, 19663])).
% 42.21/27.83 tff(19667,plain,
% 42.21/27.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))),
% 42.21/27.83 inference(quant_inst,[status(thm)],[])).
% 42.21/27.83 tff(19668,plain,
% 42.21/27.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 42.21/27.83 inference(modus_ponens,[status(thm)],[19667, 19666])).
% 42.21/27.83 tff(19669,plain,
% 42.21/27.83 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 42.21/27.83 inference(unit_resolution,[status(thm)],[19668, 641, 19662])).
% 42.21/27.83 tff(19670,plain,
% 42.21/27.84 (v90(constB142, bitIndex2)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19669, 19644])).
% 42.21/27.84 tff(19671,plain,
% 42.21/27.84 ((~v1(constB143)) <=> (~v1(constB143))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19672,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 42.21/27.84 tff(19673,plain,
% 42.21/27.84 (~v1(constB143)),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19672, 19671])).
% 42.21/27.84 tff(19674,plain,
% 42.21/27.84 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19675,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 42.21/27.84 tff(19676,plain,
% 42.21/27.84 (nextState(constB142, constB143)),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19675, 19674])).
% 42.21/27.84 tff(19677,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19678,plain,
% 42.21/27.84 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19679,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19678])).
% 42.21/27.84 tff(19680,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19679, 19677])).
% 42.21/27.84 tff(19681,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19682,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19681, 19680])).
% 42.21/27.84 tff(19683,plain,
% 42.21/27.84 (~v101(constB143)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19682, 391, 19676, 19673])).
% 42.21/27.84 tff(19684,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19685,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19686,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19685, 19684])).
% 42.21/27.84 tff(19687,plain,
% 42.21/27.84 (v101(constB143) | (~v100(constB143))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19686, 408, 19676])).
% 42.21/27.84 tff(19688,plain,
% 42.21/27.84 (~v100(constB143)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19687, 19683])).
% 42.21/27.84 tff(19689,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19690,plain,
% 42.21/27.84 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19691,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19690])).
% 42.21/27.84 tff(19692,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19691, 19689])).
% 42.21/27.84 tff(19693,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19694,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 42.21/27.84 tff(19695,plain,
% 42.21/27.84 ((~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19694, 783, 19676])).
% 42.21/27.84 tff(19696,plain,
% 42.21/27.84 ((~v90(constB142, bitIndex2)) | v90(constB143, bitIndex2)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19695, 19688])).
% 42.21/27.84 tff(19697,plain,
% 42.21/27.84 (v90(constB143, bitIndex2)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19696, 19670])).
% 42.21/27.84 tff(19698,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB141)) | (~v130(constB141, bitIndex1)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19699,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex1)))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19700,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB141)) | (~v130(constB141, bitIndex1))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19699, 19698])).
% 42.21/27.84 tff(19701,plain,
% 42.21/27.84 (~v130(constB141, bitIndex1)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19700, 2281, 19491])).
% 42.21/27.84 tff(19702,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19703,plain,
% 42.21/27.84 ((v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1))) <=> ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19704,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19703])).
% 42.21/27.84 tff(19705,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19704, 19702])).
% 42.21/27.84 tff(19706,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19707,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19706, 19705])).
% 42.21/27.84 tff(19708,plain,
% 42.21/27.84 ((~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19707, 823, 19652])).
% 42.21/27.84 tff(19709,plain,
% 42.21/27.84 (~v127(constB141, bitIndex1)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19708, 19701])).
% 42.21/27.84 tff(19710,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19711,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19712,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19711, 19710])).
% 42.21/27.84 tff(19713,plain,
% 42.21/27.84 (v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19712, 853, 19604])).
% 42.21/27.84 tff(19714,plain,
% 42.21/27.84 (~v129(constB142, bitIndex1)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19713, 19709])).
% 42.21/27.84 tff(19715,plain,
% 42.21/27.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19716,plain,
% 42.21/27.84 (((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19717,plain,
% 42.21/27.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19716])).
% 42.21/27.84 tff(19718,plain,
% 42.21/27.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19717, 19715])).
% 42.21/27.84 tff(19719,plain,
% 42.21/27.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19720,plain,
% 42.21/27.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19719, 19718])).
% 42.21/27.84 tff(19721,plain,
% 42.21/27.84 ((~v90(constB142, bitIndex1)) | (~v100(constB142))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19720, 868, 19714])).
% 42.21/27.84 tff(19722,plain,
% 42.21/27.84 (~v90(constB142, bitIndex1)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19721, 19644])).
% 42.21/27.84 tff(19723,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19724,plain,
% 42.21/27.84 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19725,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19724])).
% 42.21/27.84 tff(19726,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19725, 19723])).
% 42.21/27.84 tff(19727,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19728,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19727, 19726])).
% 42.21/27.84 tff(19729,plain,
% 42.21/27.84 (v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19728, 444, 19676])).
% 42.21/27.84 tff(19730,plain,
% 42.21/27.84 (v90(constB142, bitIndex1) | (~v90(constB143, bitIndex1))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19729, 19688])).
% 42.21/27.84 tff(19731,plain,
% 42.21/27.84 (~v90(constB143, bitIndex1)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19730, 19722])).
% 42.21/27.84 tff(19732,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19733,plain,
% 42.21/27.84 ((v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0))) <=> ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19734,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19733])).
% 42.21/27.84 tff(19735,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19734, 19732])).
% 42.21/27.84 tff(19736,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19737,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19736, 19735])).
% 42.21/27.84 tff(19738,plain,
% 42.21/27.84 ((~v127(constB141, bitIndex0)) | v130(constB141, bitIndex0)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19737, 907, 19652])).
% 42.21/27.84 tff(19739,plain,
% 42.21/27.84 (~v127(constB141, bitIndex0)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19738, 19495])).
% 42.21/27.84 tff(19740,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19741,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19742,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19741, 19740])).
% 42.21/27.84 tff(19743,plain,
% 42.21/27.84 (v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19742, 937, 19604])).
% 42.21/27.84 tff(19744,plain,
% 42.21/27.84 (~v129(constB142, bitIndex0)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19743, 19739])).
% 42.21/27.84 tff(19745,plain,
% 42.21/27.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19746,plain,
% 42.21/27.84 (((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19747,plain,
% 42.21/27.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142))))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19746])).
% 42.21/27.84 tff(19748,plain,
% 42.21/27.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19747, 19745])).
% 42.21/27.84 tff(19749,plain,
% 42.21/27.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19750,plain,
% 42.21/27.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19749, 19748])).
% 42.21/27.84 tff(19751,plain,
% 42.21/27.84 ((~v90(constB142, bitIndex0)) | (~v100(constB142))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19750, 952, 19744])).
% 42.21/27.84 tff(19752,plain,
% 42.21/27.84 (~v90(constB142, bitIndex0)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19751, 19644])).
% 42.21/27.84 tff(19753,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19754,plain,
% 42.21/27.84 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19755,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0))))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19754])).
% 42.21/27.84 tff(19756,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19755, 19753])).
% 42.21/27.84 tff(19757,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19758,plain,
% 42.21/27.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19757, 19756])).
% 42.21/27.84 tff(19759,plain,
% 42.21/27.84 (v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19758, 465, 19676])).
% 42.21/27.84 tff(19760,plain,
% 42.21/27.84 (v90(constB142, bitIndex0) | (~v90(constB143, bitIndex0))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19759, 19688])).
% 42.21/27.84 tff(19761,plain,
% 42.21/27.84 (~v90(constB143, bitIndex0)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19760, 19752])).
% 42.21/27.84 tff(19762,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19763,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19764,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143)),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19763, 19762])).
% 42.21/27.84 tff(19765,plain,
% 42.21/27.84 (v123(constB143)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19764, 979, 19761, 19731, 19697])).
% 42.21/27.84 tff(19766,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB143)) | v115(constB143))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB143)) | v115(constB143))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19767,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB143)) | v115(constB143))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19768,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB143)) | v115(constB143)),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19767, 19766])).
% 42.21/27.84 tff(19769,plain,
% 42.21/27.84 (v115(constB143)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19768, 990, 19765])).
% 42.21/27.84 tff(19770,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB143) | (~v115(constB143)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB143) | (~v115(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19771,plain,
% 42.21/27.84 (((~v115(constB143)) | v114(constB143)) <=> (v114(constB143) | (~v115(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19772,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB143) | (~v115(constB143))))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19771])).
% 42.21/27.84 tff(19773,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB143) | (~v115(constB143)))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19772, 19770])).
% 42.21/27.84 tff(19774,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB143)) | v114(constB143))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19775,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB143) | (~v115(constB143))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19774, 19773])).
% 42.21/27.84 tff(19776,plain,
% 42.21/27.84 (v114(constB143)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19775, 553, 19769])).
% 42.21/27.84 tff(19777,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19778,plain,
% 42.21/27.84 (((~v114(constB143)) | v113(constB143)) <=> (v113(constB143) | (~v114(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19779,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v114(constB143))))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19778])).
% 42.21/27.84 tff(19780,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143)))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19779, 19777])).
% 42.21/27.84 tff(19781,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19782,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19781, 19780])).
% 42.21/27.84 tff(19783,plain,
% 42.21/27.84 (v113(constB143)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19782, 567, 19776])).
% 42.21/27.84 tff(19784,assumption,(v26(constB143)), introduced(assumption)).
% 42.21/27.84 tff(19785,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19786,plain,
% 42.21/27.84 ($false),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19785, 95, 19784])).
% 42.21/27.84 tff(19787,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.84 tff(19788,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19789,plain,
% 42.21/27.84 ((v26(constB143) | (~v113(constB143)) | v112(constB143)) <=> (v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19790,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143))))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19789])).
% 42.21/27.84 tff(19791,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19790, 19788])).
% 42.21/27.84 tff(19792,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19793,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19792, 19791])).
% 42.21/27.84 tff(19794,plain,
% 42.21/27.84 (v112(constB143) | (~v113(constB143))),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19793, 581, 19787])).
% 42.21/27.84 tff(19795,plain,
% 42.21/27.84 (v112(constB143)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19794, 19783])).
% 42.21/27.84 tff(19796,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19797,plain,
% 42.21/27.84 (((~v112(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v112(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19798,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143))))),
% 42.21/27.84 inference(monotonicity,[status(thm)],[19797])).
% 42.21/27.84 tff(19799,plain,
% 42.21/27.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 42.21/27.84 inference(transitivity,[status(thm)],[19798, 19796])).
% 42.21/27.84 tff(19800,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))),
% 42.21/27.84 inference(quant_inst,[status(thm)],[])).
% 42.21/27.84 tff(19801,plain,
% 42.21/27.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143))),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19800, 19799])).
% 42.21/27.84 tff(19802,plain,
% 42.21/27.84 (v108(constB143)),
% 42.21/27.84 inference(unit_resolution,[status(thm)],[19801, 746, 19795])).
% 42.21/27.84 tff(19803,plain,
% 42.21/27.84 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19804,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 42.21/27.84 tff(19805,plain,
% 42.21/27.84 (nextState(constB143, constB144)),
% 42.21/27.84 inference(modus_ponens,[status(thm)],[19804, 19803])).
% 42.21/27.84 tff(19806,plain,
% 42.21/27.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 42.21/27.84 inference(rewrite,[status(thm)],[])).
% 42.21/27.84 tff(19807,plain,
% 42.21/27.84 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19808,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19807])).
% 42.21/27.85 tff(19809,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19808, 19806])).
% 42.21/27.85 tff(19810,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19811,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19810, 19809])).
% 42.21/27.85 tff(19812,plain,
% 42.21/27.85 (v110(constB144) | (~v108(constB143))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19811, 731, 19805])).
% 42.21/27.85 tff(19813,plain,
% 42.21/27.85 (v110(constB144)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19812, 19802])).
% 42.21/27.85 tff(19814,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19815,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19816,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19815, 19814])).
% 42.21/27.85 tff(19817,plain,
% 42.21/27.85 (~v104(constB144)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19816, 659, 19805, 19673])).
% 42.21/27.85 tff(19818,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19819,plain,
% 42.21/27.85 (((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)) <=> ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19820,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144)))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19819])).
% 42.21/27.85 tff(19821,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19820, 19818])).
% 42.21/27.85 tff(19822,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19823,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144)),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19822, 19821])).
% 42.21/27.85 tff(19824,plain,
% 42.21/27.85 (v104(constB144) | v102(constB144)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19823, 673, 19805])).
% 42.21/27.85 tff(19825,plain,
% 42.21/27.85 (v102(constB144)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19824, 19817])).
% 42.21/27.85 tff(19826,plain,
% 42.21/27.85 (v1(constB144) <=> v1(constB144)),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19827,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 42.21/27.85 tff(19828,plain,
% 42.21/27.85 (v1(constB144)),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19827, 19826])).
% 42.21/27.85 tff(19829,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19830,plain,
% 42.21/27.85 (((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))) <=> ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19831,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144))))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19830])).
% 42.21/27.85 tff(19832,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19831, 19829])).
% 42.21/27.85 tff(19833,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19834,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19833, 19832])).
% 42.21/27.85 tff(19835,plain,
% 42.21/27.85 (v101(constB144) | (~v102(constB144))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19834, 694, 19805, 19828])).
% 42.21/27.85 tff(19836,plain,
% 42.21/27.85 (v101(constB144)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19835, 19825])).
% 42.21/27.85 tff(19837,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19838,plain,
% 42.21/27.85 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19839,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19838])).
% 42.21/27.85 tff(19840,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19839, 19837])).
% 42.21/27.85 tff(19841,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19842,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19841, 19840])).
% 42.21/27.85 tff(19843,plain,
% 42.21/27.85 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19842, 712, 19805])).
% 42.21/27.85 tff(19844,plain,
% 42.21/27.85 (v100(constB144) | (~v110(constB144))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19843, 19836])).
% 42.21/27.85 tff(19845,plain,
% 42.21/27.85 (v100(constB144)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19844, 19813])).
% 42.21/27.85 tff(19846,plain,
% 42.21/27.85 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB143)) | v130(constB143, bitIndex1))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19847,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB143)) | v130(constB143, bitIndex1))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19848,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB143)) | v130(constB143, bitIndex1)),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19847, 19846])).
% 42.21/27.85 tff(19849,plain,
% 42.21/27.85 (v130(constB143, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19848, 1130, 19765])).
% 42.21/27.85 tff(19850,plain,
% 42.21/27.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19851,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19852,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19851, 19850])).
% 42.21/27.85 tff(19853,plain,
% 42.21/27.85 ((~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19852, 1144, 19787])).
% 42.21/27.85 tff(19854,plain,
% 42.21/27.85 (v127(constB143, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19853, 19849])).
% 42.21/27.85 tff(19855,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19856,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19857,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19856, 19855])).
% 42.21/27.85 tff(19858,plain,
% 42.21/27.85 ((~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19857, 1159, 19805])).
% 42.21/27.85 tff(19859,plain,
% 42.21/27.85 (v129(constB144, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19858, 19854])).
% 42.21/27.85 tff(19860,plain,
% 42.21/27.85 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19861,plain,
% 42.21/27.85 ((v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19862,plain,
% 42.21/27.85 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19861])).
% 42.21/27.85 tff(19863,plain,
% 42.21/27.85 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19862, 19860])).
% 42.21/27.85 tff(19864,plain,
% 42.21/27.85 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19865,plain,
% 42.21/27.85 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19864, 19863])).
% 42.21/27.85 tff(19866,plain,
% 42.21/27.85 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19865, 1174, 19859])).
% 42.21/27.85 tff(19867,plain,
% 42.21/27.85 (v90(constB144, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19866, 19845])).
% 42.21/27.85 tff(19868,plain,
% 42.21/27.85 ((~v1(constB145)) <=> (~v1(constB145))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19869,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 42.21/27.85 tff(19870,plain,
% 42.21/27.85 (~v1(constB145)),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19869, 19868])).
% 42.21/27.85 tff(19871,plain,
% 42.21/27.85 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19872,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 42.21/27.85 tff(19873,plain,
% 42.21/27.85 (nextState(constB144, constB145)),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19872, 19871])).
% 42.21/27.85 tff(19874,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19875,plain,
% 42.21/27.85 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19876,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19875])).
% 42.21/27.85 tff(19877,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19876, 19874])).
% 42.21/27.85 tff(19878,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19879,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19878, 19877])).
% 42.21/27.85 tff(19880,plain,
% 42.21/27.85 (~v101(constB145)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19879, 391, 19873, 19870])).
% 42.21/27.85 tff(19881,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19882,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19883,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19882, 19881])).
% 42.21/27.85 tff(19884,plain,
% 42.21/27.85 (v101(constB145) | (~v100(constB145))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19883, 408, 19873])).
% 42.21/27.85 tff(19885,plain,
% 42.21/27.85 (~v100(constB145)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19884, 19880])).
% 42.21/27.85 tff(19886,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19887,plain,
% 42.21/27.85 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19888,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19887])).
% 42.21/27.85 tff(19889,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19888, 19886])).
% 42.21/27.85 tff(19890,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19891,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19890, 19889])).
% 42.21/27.85 tff(19892,plain,
% 42.21/27.85 ((~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19891, 1192, 19873])).
% 42.21/27.85 tff(19893,plain,
% 42.21/27.85 ((~v90(constB144, bitIndex1)) | v90(constB145, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19892, 19885])).
% 42.21/27.85 tff(19894,plain,
% 42.21/27.85 (v90(constB145, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19893, 19867])).
% 42.21/27.85 tff(19895,plain,
% 42.21/27.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB145)) | (~v90(constB145, bitIndex1)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19896,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB145)) | (~v90(constB145, bitIndex1)))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19897,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB145)) | (~v90(constB145, bitIndex1))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19896, 19895])).
% 42.21/27.85 tff(19898,plain,
% 42.21/27.85 (~v120(constB145)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19897, 1391, 19894])).
% 42.21/27.85 tff(19899,assumption,(v123(constB143)), introduced(assumption)).
% 42.21/27.85 tff(19900,plain,
% 42.21/27.85 (v115(constB143)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19768, 990, 19899])).
% 42.21/27.85 tff(19901,plain,
% 42.21/27.85 (v114(constB143)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19775, 553, 19900])).
% 42.21/27.85 tff(19902,plain,
% 42.21/27.85 (v113(constB143)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19782, 567, 19901])).
% 42.21/27.85 tff(19903,plain,
% 42.21/27.85 (v112(constB143)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19794, 19902])).
% 42.21/27.85 tff(19904,plain,
% 42.21/27.85 (v108(constB143)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19801, 746, 19903])).
% 42.21/27.85 tff(19905,plain,
% 42.21/27.85 (v110(constB144)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19812, 19904])).
% 42.21/27.85 tff(19906,plain,
% 42.21/27.85 (v100(constB144)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19844, 19905])).
% 42.21/27.85 tff(19907,plain,
% 42.21/27.85 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB143)) | (~v130(constB143, bitIndex0)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19908,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex0)))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19909,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB143)) | (~v130(constB143, bitIndex0))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19908, 19907])).
% 42.21/27.85 tff(19910,plain,
% 42.21/27.85 (~v130(constB143, bitIndex0)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19909, 1208, 19899])).
% 42.21/27.85 tff(19911,plain,
% 42.21/27.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19912,plain,
% 42.21/27.85 ((v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0))) <=> ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19913,plain,
% 42.21/27.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19912])).
% 42.21/27.85 tff(19914,plain,
% 42.21/27.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19913, 19911])).
% 42.21/27.85 tff(19915,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19916,plain,
% 42.21/27.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19915, 19914])).
% 42.21/27.85 tff(19917,plain,
% 42.21/27.85 ((~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19916, 907, 19787])).
% 42.21/27.85 tff(19918,plain,
% 42.21/27.85 (~v127(constB143, bitIndex0)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19917, 19910])).
% 42.21/27.85 tff(19919,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19920,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19921,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19920, 19919])).
% 42.21/27.85 tff(19922,plain,
% 42.21/27.85 (v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19921, 937, 19805])).
% 42.21/27.85 tff(19923,plain,
% 42.21/27.85 (~v129(constB144, bitIndex0)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19922, 19918])).
% 42.21/27.85 tff(19924,plain,
% 42.21/27.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19925,plain,
% 42.21/27.85 (((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19926,plain,
% 42.21/27.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19925])).
% 42.21/27.85 tff(19927,plain,
% 42.21/27.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19926, 19924])).
% 42.21/27.85 tff(19928,plain,
% 42.21/27.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19929,plain,
% 42.21/27.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19928, 19927])).
% 42.21/27.85 tff(19930,plain,
% 42.21/27.85 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19929, 952, 19923])).
% 42.21/27.85 tff(19931,plain,
% 42.21/27.85 (~v90(constB144, bitIndex0)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19930, 19906])).
% 42.21/27.85 tff(19932,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19933,plain,
% 42.21/27.85 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 42.21/27.85 inference(rewrite,[status(thm)],[])).
% 42.21/27.85 tff(19934,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))))),
% 42.21/27.85 inference(monotonicity,[status(thm)],[19933])).
% 42.21/27.85 tff(19935,plain,
% 42.21/27.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 42.21/27.85 inference(transitivity,[status(thm)],[19934, 19932])).
% 42.21/27.85 tff(19936,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 42.21/27.85 inference(quant_inst,[status(thm)],[])).
% 42.21/27.85 tff(19937,plain,
% 42.21/27.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 42.21/27.85 inference(modus_ponens,[status(thm)],[19936, 19935])).
% 42.21/27.85 tff(19938,plain,
% 42.21/27.85 (v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19937, 465, 19873])).
% 42.21/27.85 tff(19939,plain,
% 42.21/27.85 (v90(constB144, bitIndex0) | (~v90(constB145, bitIndex0))),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19938, 19885])).
% 42.21/27.85 tff(19940,plain,
% 42.21/27.85 (~v90(constB145, bitIndex0)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19939, 19931])).
% 42.21/27.85 tff(19941,plain,
% 42.21/27.85 (v130(constB143, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19848, 1130, 19899])).
% 42.21/27.85 tff(19942,plain,
% 42.21/27.85 (v127(constB143, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19853, 19941])).
% 42.21/27.85 tff(19943,plain,
% 42.21/27.85 (v129(constB144, bitIndex1)),
% 42.21/27.85 inference(unit_resolution,[status(thm)],[19858, 19942])).
% 42.21/27.86 tff(19944,plain,
% 42.21/27.86 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19865, 1174, 19943])).
% 42.21/27.86 tff(19945,plain,
% 42.21/27.86 (v90(constB144, bitIndex1)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19944, 19906])).
% 42.21/27.86 tff(19946,plain,
% 42.21/27.86 (v90(constB145, bitIndex1)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19893, 19945])).
% 42.21/27.86 tff(19947,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19948,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(19949,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[19948, 19947])).
% 42.21/27.86 tff(19950,plain,
% 42.21/27.86 (v130(constB143, bitIndex2)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19949, 1074, 19899])).
% 42.21/27.86 tff(19951,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19952,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(19953,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[19952, 19951])).
% 42.21/27.86 tff(19954,plain,
% 42.21/27.86 ((~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19953, 607, 19787])).
% 42.21/27.86 tff(19955,plain,
% 42.21/27.86 (v127(constB143, bitIndex2)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19954, 19950])).
% 42.21/27.86 tff(19956,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19957,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(19958,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[19957, 19956])).
% 42.21/27.86 tff(19959,plain,
% 42.21/27.86 ((~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19958, 625, 19805])).
% 42.21/27.86 tff(19960,plain,
% 42.21/27.86 (v129(constB144, bitIndex2)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19959, 19955])).
% 42.21/27.86 tff(19961,plain,
% 42.21/27.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19962,plain,
% 42.21/27.86 ((v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19963,plain,
% 42.21/27.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))))),
% 42.21/27.86 inference(monotonicity,[status(thm)],[19962])).
% 42.21/27.86 tff(19964,plain,
% 42.21/27.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 42.21/27.86 inference(transitivity,[status(thm)],[19963, 19961])).
% 42.21/27.86 tff(19965,plain,
% 42.21/27.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(19966,plain,
% 42.21/27.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[19965, 19964])).
% 42.21/27.86 tff(19967,plain,
% 42.21/27.86 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19966, 641, 19960])).
% 42.21/27.86 tff(19968,plain,
% 42.21/27.86 (v90(constB144, bitIndex2)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19967, 19906])).
% 42.21/27.86 tff(19969,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19970,plain,
% 42.21/27.86 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19971,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)))),
% 42.21/27.86 inference(monotonicity,[status(thm)],[19970])).
% 42.21/27.86 tff(19972,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 42.21/27.86 inference(transitivity,[status(thm)],[19971, 19969])).
% 42.21/27.86 tff(19973,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(19974,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[19973, 19972])).
% 42.21/27.86 tff(19975,plain,
% 42.21/27.86 ((~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19974, 783, 19873])).
% 42.21/27.86 tff(19976,plain,
% 42.21/27.86 ((~v90(constB144, bitIndex2)) | v90(constB145, bitIndex2)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19975, 19885])).
% 42.21/27.86 tff(19977,plain,
% 42.21/27.86 (v90(constB145, bitIndex2)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19976, 19968])).
% 42.21/27.86 tff(19978,assumption,(v90(constB145, bitIndex2)), introduced(assumption)).
% 42.21/27.86 tff(19979,assumption,(v90(constB145, bitIndex1)), introduced(assumption)).
% 42.21/27.86 tff(19980,assumption,(~v90(constB145, bitIndex0)), introduced(assumption)).
% 42.21/27.86 tff(19981,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19982,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(19983,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[19982, 19981])).
% 42.21/27.86 tff(19984,plain,
% 42.21/27.86 ((~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19983, 1252, 19980])).
% 42.21/27.86 tff(19985,plain,
% 42.21/27.86 (v125(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19984, 19979, 19978])).
% 42.21/27.86 tff(19986,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19987,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(19988,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[19987, 19986])).
% 42.21/27.86 tff(19989,plain,
% 42.21/27.86 (v113(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19988, 1263, 19985])).
% 42.21/27.86 tff(19990,assumption,(v26(constB145)), introduced(assumption)).
% 42.21/27.86 tff(19991,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(19992,plain,
% 42.21/27.86 ($false),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19991, 95, 19990])).
% 42.21/27.86 tff(19993,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.86 tff(19994,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19995,plain,
% 42.21/27.86 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(19996,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145))))),
% 42.21/27.86 inference(monotonicity,[status(thm)],[19995])).
% 42.21/27.86 tff(19997,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 42.21/27.86 inference(transitivity,[status(thm)],[19996, 19994])).
% 42.21/27.86 tff(19998,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(19999,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[19998, 19997])).
% 42.21/27.86 tff(20000,plain,
% 42.21/27.86 (v112(constB145) | (~v113(constB145))),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[19999, 581, 19993])).
% 42.21/27.86 tff(20001,plain,
% 42.21/27.86 (v112(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20000, 19989])).
% 42.21/27.86 tff(20002,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB145)) | (~v90(constB145, bitIndex2)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20003,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex2)))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20004,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB145)) | (~v90(constB145, bitIndex2))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20003, 20002])).
% 42.21/27.86 tff(20005,plain,
% 42.21/27.86 (~v119(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20004, 7590, 19978])).
% 42.21/27.86 tff(20006,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v90(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v90(constB145, bitIndex2)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20007,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v90(constB145, bitIndex2)))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20008,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v90(constB145, bitIndex2))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20007, 20006])).
% 42.21/27.86 tff(20009,plain,
% 42.21/27.86 (~v121(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20008, 1336, 19978])).
% 42.21/27.86 tff(20010,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB145)) | (~v90(constB145, bitIndex1)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20011,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB145)) | (~v90(constB145, bitIndex1)))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20012,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB145)) | (~v90(constB145, bitIndex1))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20011, 20010])).
% 42.21/27.86 tff(20013,plain,
% 42.21/27.86 (~v123(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20012, 1358, 19979])).
% 42.21/27.86 tff(20014,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB145)) | v90(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB145)) | v90(constB145, bitIndex0))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20015,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB145)) | v90(constB145, bitIndex0))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20016,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB145)) | v90(constB145, bitIndex0)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20015, 20014])).
% 42.21/27.86 tff(20017,plain,
% 42.21/27.86 (~v120(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20016, 10958, 19980])).
% 42.21/27.86 tff(20018,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB145)) | v90(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB145)) | v90(constB145, bitIndex0))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20019,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB145)) | v90(constB145, bitIndex0))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20020,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB145)) | v90(constB145, bitIndex0)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20019, 20018])).
% 42.21/27.86 tff(20021,plain,
% 42.21/27.86 (~v122(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20020, 4538, 19980])).
% 42.21/27.86 tff(20022,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB145)) | v90(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB145)) | v90(constB145, bitIndex0))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20023,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB145)) | v90(constB145, bitIndex0))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20024,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB145)) | v90(constB145, bitIndex0)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20023, 20022])).
% 42.21/27.86 tff(20025,plain,
% 42.21/27.86 (~v124(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20024, 10973, 19980])).
% 42.21/27.86 tff(20026,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20027,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20028,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20027, 20026])).
% 42.21/27.86 tff(20029,plain,
% 42.21/27.86 (v119(constB145) | v121(constB145) | v123(constB145) | v130(constB145, bitIndex0)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20028, 1538, 20025, 20021, 20017])).
% 42.21/27.86 tff(20030,plain,
% 42.21/27.86 (v130(constB145, bitIndex0)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20029, 20013, 20009, 20005])).
% 42.21/27.86 tff(20031,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20032,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20033,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20032, 20031])).
% 42.21/27.86 tff(20034,plain,
% 42.21/27.86 ((~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20033, 1552, 19993])).
% 42.21/27.86 tff(20035,plain,
% 42.21/27.86 (v127(constB145, bitIndex0)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20034, 20030])).
% 42.21/27.86 tff(20036,plain,
% 42.21/27.86 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20037,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 42.21/27.86 tff(20038,plain,
% 42.21/27.86 (nextState(constB145, constB146)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20037, 20036])).
% 42.21/27.86 tff(20039,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20040,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20041,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20040, 20039])).
% 42.21/27.86 tff(20042,plain,
% 42.21/27.86 ((~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20041, 1567, 20038])).
% 42.21/27.86 tff(20043,plain,
% 42.21/27.86 (v129(constB146, bitIndex0)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20042, 20035])).
% 42.21/27.86 tff(20044,assumption,(~v90(constB146, bitIndex0)), introduced(assumption)).
% 42.21/27.86 tff(20045,plain,
% 42.21/27.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20046,plain,
% 42.21/27.86 ((v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20047,plain,
% 42.21/27.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))))),
% 42.21/27.86 inference(monotonicity,[status(thm)],[20046])).
% 42.21/27.86 tff(20048,plain,
% 42.21/27.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 42.21/27.86 inference(transitivity,[status(thm)],[20047, 20045])).
% 42.21/27.86 tff(20049,plain,
% 42.21/27.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20050,plain,
% 42.21/27.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20049, 20048])).
% 42.21/27.86 tff(20051,plain,
% 42.21/27.86 ((~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20050, 1582, 20044])).
% 42.21/27.86 tff(20052,plain,
% 42.21/27.86 (~v100(constB146)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20051, 20043])).
% 42.21/27.86 tff(20053,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20054,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20055,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20054, 20053])).
% 42.21/27.86 tff(20056,plain,
% 42.21/27.86 (~v104(constB146)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20055, 659, 20038, 19870])).
% 42.21/27.86 tff(20057,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20058,plain,
% 42.21/27.86 (((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)) <=> ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20059,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146)))),
% 42.21/27.86 inference(monotonicity,[status(thm)],[20058])).
% 42.21/27.86 tff(20060,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 42.21/27.86 inference(transitivity,[status(thm)],[20059, 20057])).
% 42.21/27.86 tff(20061,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20062,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20061, 20060])).
% 42.21/27.86 tff(20063,plain,
% 42.21/27.86 (v104(constB146) | v102(constB146)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20062, 673, 20038])).
% 42.21/27.86 tff(20064,plain,
% 42.21/27.86 (v102(constB146)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20063, 20056])).
% 42.21/27.86 tff(20065,plain,
% 42.21/27.86 (v1(constB146) <=> v1(constB146)),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20066,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 42.21/27.86 tff(20067,plain,
% 42.21/27.86 (v1(constB146)),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20066, 20065])).
% 42.21/27.86 tff(20068,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20069,plain,
% 42.21/27.86 (((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))) <=> ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20070,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146))))),
% 42.21/27.86 inference(monotonicity,[status(thm)],[20069])).
% 42.21/27.86 tff(20071,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 42.21/27.86 inference(transitivity,[status(thm)],[20070, 20068])).
% 42.21/27.86 tff(20072,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20073,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20072, 20071])).
% 42.21/27.86 tff(20074,plain,
% 42.21/27.86 (v101(constB146) | (~v102(constB146))),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20073, 694, 20038, 20067])).
% 42.21/27.86 tff(20075,plain,
% 42.21/27.86 (v101(constB146)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20074, 20064])).
% 42.21/27.86 tff(20076,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20077,plain,
% 42.21/27.86 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20078,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 42.21/27.86 inference(monotonicity,[status(thm)],[20077])).
% 42.21/27.86 tff(20079,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 42.21/27.86 inference(transitivity,[status(thm)],[20078, 20076])).
% 42.21/27.86 tff(20080,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20081,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20080, 20079])).
% 42.21/27.86 tff(20082,plain,
% 42.21/27.86 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20081, 712, 20038])).
% 42.21/27.86 tff(20083,plain,
% 42.21/27.86 (v100(constB146) | (~v110(constB146))),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20082, 20075])).
% 42.21/27.86 tff(20084,plain,
% 42.21/27.86 (~v110(constB146)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20083, 20052])).
% 42.21/27.86 tff(20085,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20086,plain,
% 42.21/27.86 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20087,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 42.21/27.86 inference(monotonicity,[status(thm)],[20086])).
% 42.21/27.86 tff(20088,plain,
% 42.21/27.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 42.21/27.86 inference(transitivity,[status(thm)],[20087, 20085])).
% 42.21/27.86 tff(20089,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20090,plain,
% 42.21/27.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20089, 20088])).
% 42.21/27.86 tff(20091,plain,
% 42.21/27.86 (v110(constB146) | (~v108(constB145))),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20090, 731, 20038])).
% 42.21/27.86 tff(20092,plain,
% 42.21/27.86 (~v108(constB145)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20091, 20084])).
% 42.21/27.86 tff(20093,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20094,plain,
% 42.21/27.86 (((~v112(constB145)) | v108(constB145)) <=> (v108(constB145) | (~v112(constB145)))),
% 42.21/27.86 inference(rewrite,[status(thm)],[])).
% 42.21/27.86 tff(20095,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145))))),
% 42.21/27.86 inference(monotonicity,[status(thm)],[20094])).
% 42.21/27.86 tff(20096,plain,
% 42.21/27.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 42.21/27.86 inference(transitivity,[status(thm)],[20095, 20093])).
% 42.21/27.86 tff(20097,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))),
% 42.21/27.86 inference(quant_inst,[status(thm)],[])).
% 42.21/27.86 tff(20098,plain,
% 42.21/27.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145))),
% 42.21/27.86 inference(modus_ponens,[status(thm)],[20097, 20096])).
% 42.21/27.86 tff(20099,plain,
% 42.21/27.86 ($false),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20098, 746, 20092, 20001])).
% 42.21/27.86 tff(20100,plain,((~v90(constB145, bitIndex1)) | v90(constB146, bitIndex0) | (~v90(constB145, bitIndex2)) | v90(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.86 tff(20101,plain,
% 42.21/27.86 (v90(constB146, bitIndex0)),
% 42.21/27.86 inference(unit_resolution,[status(thm)],[20100, 19977, 19946, 19940])).
% 42.21/27.87 tff(20102,plain,
% 42.21/27.87 ((~v1(constB147)) <=> (~v1(constB147))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20103,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 42.21/27.87 tff(20104,plain,
% 42.21/27.87 (~v1(constB147)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20103, 20102])).
% 42.21/27.87 tff(20105,plain,
% 42.21/27.87 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20106,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 42.21/27.87 tff(20107,plain,
% 42.21/27.87 (nextState(constB146, constB147)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20106, 20105])).
% 42.21/27.87 tff(20108,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20109,plain,
% 42.21/27.87 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20110,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 42.21/27.87 inference(monotonicity,[status(thm)],[20109])).
% 42.21/27.87 tff(20111,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 42.21/27.87 inference(transitivity,[status(thm)],[20110, 20108])).
% 42.21/27.87 tff(20112,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20113,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20112, 20111])).
% 42.21/27.87 tff(20114,plain,
% 42.21/27.87 (~v101(constB147)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20113, 391, 20107, 20104])).
% 42.21/27.87 tff(20115,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20116,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20117,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20116, 20115])).
% 42.21/27.87 tff(20118,plain,
% 42.21/27.87 (v101(constB147) | (~v100(constB147))),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20117, 408, 20107])).
% 42.21/27.87 tff(20119,plain,
% 42.21/27.87 (~v100(constB147)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20118, 20114])).
% 42.21/27.87 tff(20120,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20121,plain,
% 42.21/27.87 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20122,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)))),
% 42.21/27.87 inference(monotonicity,[status(thm)],[20121])).
% 42.21/27.87 tff(20123,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 42.21/27.87 inference(transitivity,[status(thm)],[20122, 20120])).
% 42.21/27.87 tff(20124,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20125,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20124, 20123])).
% 42.21/27.87 tff(20126,plain,
% 42.21/27.87 ((~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20125, 1600, 20107])).
% 42.21/27.87 tff(20127,plain,
% 42.21/27.87 ((~v90(constB146, bitIndex0)) | v90(constB147, bitIndex0)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20126, 20119])).
% 42.21/27.87 tff(20128,plain,
% 42.21/27.87 (v90(constB147, bitIndex0)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20127, 20101])).
% 42.21/27.87 tff(20129,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB147)) | (~v90(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB147)) | (~v90(constB147, bitIndex0)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20130,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB147)) | (~v90(constB147, bitIndex0)))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20131,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB147)) | (~v90(constB147, bitIndex0))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20130, 20129])).
% 42.21/27.87 tff(20132,plain,
% 42.21/27.87 (~v119(constB147)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20131, 11028, 20128])).
% 42.21/27.87 tff(20133,assumption,(~v120(constB147)), introduced(assumption)).
% 42.21/27.87 tff(20134,assumption,(~v90(constB143, bitIndex0)), introduced(assumption)).
% 42.21/27.87 tff(20135,plain,
% 42.21/27.87 (~v123(constB145)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20012, 1358, 19946])).
% 42.21/27.87 tff(20136,assumption,(v130(constB145, bitIndex2)), introduced(assumption)).
% 42.21/27.87 tff(20137,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB145)) | (~v130(constB145, bitIndex2)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20138,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex2)))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20139,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB145)) | (~v130(constB145, bitIndex2))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20138, 20137])).
% 42.21/27.87 tff(20140,plain,
% 42.21/27.87 (~v124(constB145)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20139, 3868, 20136])).
% 42.21/27.87 tff(20141,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v130(constB145, bitIndex2)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20142,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v130(constB145, bitIndex2)))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20143,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v130(constB145, bitIndex2))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20142, 20141])).
% 42.21/27.87 tff(20144,plain,
% 42.21/27.87 (~v121(constB145)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20143, 1990, 20136])).
% 42.21/27.87 tff(20145,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v130(constB145, bitIndex2)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20146,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex2)))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20147,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v130(constB145, bitIndex2))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20146, 20145])).
% 42.21/27.87 tff(20148,plain,
% 42.21/27.87 (~v120(constB145)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20147, 1732, 20136])).
% 42.21/27.87 tff(20149,assumption,(~v123(constB145)), introduced(assumption)).
% 42.21/27.87 tff(20150,assumption,(~v90(constB144, bitIndex0)), introduced(assumption)).
% 42.21/27.87 tff(20151,plain,
% 42.21/27.87 (~v90(constB145, bitIndex0)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19939, 20150])).
% 42.21/27.87 tff(20152,plain,
% 42.21/27.87 (~v122(constB145)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20020, 4538, 20151])).
% 42.21/27.87 tff(20153,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20154,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20155,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20154, 20153])).
% 42.21/27.87 tff(20156,plain,
% 42.21/27.87 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20155, 1405, 20136])).
% 42.21/27.87 tff(20157,plain,
% 42.21/27.87 (v119(constB145)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20156, 20152, 20149, 20148, 20144, 20140])).
% 42.21/27.87 tff(20158,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20159,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20160,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20159, 20158])).
% 42.21/27.87 tff(20161,plain,
% 42.21/27.87 (~v90(constB145, bitIndex1)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20160, 1380, 20157])).
% 42.21/27.87 tff(20162,plain,
% 42.21/27.87 (~v90(constB144, bitIndex1)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19893, 20161])).
% 42.21/27.87 tff(20163,plain,
% 42.21/27.87 (~v90(constB145, bitIndex2)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20004, 7590, 20157])).
% 42.21/27.87 tff(20164,plain,
% 42.21/27.87 (~v90(constB144, bitIndex2)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19976, 20163])).
% 42.21/27.87 tff(20165,assumption,(~v100(constB144)), introduced(assumption)).
% 42.21/27.87 tff(20166,plain,
% 42.21/27.87 (~v110(constB144)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19844, 20165])).
% 42.21/27.87 tff(20167,plain,
% 42.21/27.87 (~v108(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19812, 20166])).
% 42.21/27.87 tff(20168,plain,
% 42.21/27.87 (~v112(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19801, 746, 20167])).
% 42.21/27.87 tff(20169,assumption,(~v26(constB143)), introduced(assumption)).
% 42.21/27.87 tff(20170,plain,
% 42.21/27.87 (v112(constB143) | (~v113(constB143))),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19793, 581, 20169])).
% 42.21/27.87 tff(20171,plain,
% 42.21/27.87 (~v113(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20170, 20168])).
% 42.21/27.87 tff(20172,plain,
% 42.21/27.87 (~v114(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19782, 567, 20171])).
% 42.21/27.87 tff(20173,plain,
% 42.21/27.87 (~v115(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19775, 553, 20172])).
% 42.21/27.87 tff(20174,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB143) | (~v116(constB143)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB143) | (~v116(constB143)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20175,plain,
% 42.21/27.87 (((~v116(constB143)) | v115(constB143)) <=> (v115(constB143) | (~v116(constB143)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20176,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB143)) | v115(constB143))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB143) | (~v116(constB143))))),
% 42.21/27.87 inference(monotonicity,[status(thm)],[20175])).
% 42.21/27.87 tff(20177,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB143)) | v115(constB143))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB143) | (~v116(constB143)))),
% 42.21/27.87 inference(transitivity,[status(thm)],[20176, 20174])).
% 42.21/27.87 tff(20178,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB143)) | v115(constB143))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20179,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB143) | (~v116(constB143))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20178, 20177])).
% 42.21/27.87 tff(20180,plain,
% 42.21/27.87 (~v116(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20179, 539, 20173])).
% 42.21/27.87 tff(20181,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB143) | (~v117(constB143)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB143) | (~v117(constB143)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20182,plain,
% 42.21/27.87 (((~v117(constB143)) | v116(constB143)) <=> (v116(constB143) | (~v117(constB143)))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20183,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB143)) | v116(constB143))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB143) | (~v117(constB143))))),
% 42.21/27.87 inference(monotonicity,[status(thm)],[20182])).
% 42.21/27.87 tff(20184,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB143)) | v116(constB143))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB143) | (~v117(constB143)))),
% 42.21/27.87 inference(transitivity,[status(thm)],[20183, 20181])).
% 42.21/27.87 tff(20185,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB143)) | v116(constB143))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20186,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB143) | (~v117(constB143))),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20185, 20184])).
% 42.21/27.87 tff(20187,plain,
% 42.21/27.87 (~v117(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20186, 525, 20180])).
% 42.21/27.87 tff(20188,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20189,plain,
% 42.21/27.87 (((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0)) <=> ((~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20190,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0)))),
% 42.21/27.87 inference(monotonicity,[status(thm)],[20189])).
% 42.21/27.87 tff(20191,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0))),
% 42.21/27.87 inference(transitivity,[status(thm)],[20190, 20188])).
% 42.21/27.87 tff(20192,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20193,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB143, bitIndex0)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex0)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20192, 20191])).
% 42.21/27.87 tff(20194,plain,
% 42.21/27.87 ((~v90(constB143, bitIndex0)) | v100(constB144) | v90(constB144, bitIndex0)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20193, 1600, 19805])).
% 42.21/27.87 tff(20195,plain,
% 42.21/27.87 (~v90(constB143, bitIndex0)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20194, 20165, 20150])).
% 42.21/27.87 tff(20196,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB143)) | v90(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB143)) | v90(constB143, bitIndex0))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20197,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB143)) | v90(constB143, bitIndex0))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20198,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB143)) | v90(constB143, bitIndex0)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 42.21/27.87 tff(20199,plain,
% 42.21/27.87 (~v122(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20198, 4538, 20195])).
% 42.21/27.87 tff(20200,assumption,(~v130(constB143, bitIndex0)), introduced(assumption)).
% 42.21/27.87 tff(20201,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB143)) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB143)) | v130(constB143, bitIndex0))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20202,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB143)) | v130(constB143, bitIndex0))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20203,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB143)) | v130(constB143, bitIndex0)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20202, 20201])).
% 42.21/27.87 tff(20204,plain,
% 42.21/27.87 (~v121(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20203, 2088, 20200])).
% 42.21/27.87 tff(20205,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB143)) | v90(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB143)) | v90(constB143, bitIndex0))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20206,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB143)) | v90(constB143, bitIndex0))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20207,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB143)) | v90(constB143, bitIndex0)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20206, 20205])).
% 42.21/27.87 tff(20208,plain,
% 42.21/27.87 (~v120(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20207, 10958, 20195])).
% 42.21/27.87 tff(20209,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB143)) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB143)) | v130(constB143, bitIndex0))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20210,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB143)) | v130(constB143, bitIndex0))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20211,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB143)) | v130(constB143, bitIndex0)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20210, 20209])).
% 42.21/27.87 tff(20212,plain,
% 42.21/27.87 (~v124(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20211, 4083, 20200])).
% 42.21/27.87 tff(20213,plain,
% 42.21/27.87 (~v123(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[19768, 990, 20173])).
% 42.21/27.87 tff(20214,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20215,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20216,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, bitIndex0)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20215, 20214])).
% 42.21/27.87 tff(20217,plain,
% 42.21/27.87 (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20216, 1538, 20200])).
% 42.21/27.87 tff(20218,plain,
% 42.21/27.87 (v119(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20217, 20213, 20212, 20208, 20204, 20199])).
% 42.21/27.87 tff(20219,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB143)) | v118(constB143))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB143)) | v118(constB143))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20220,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB143)) | v118(constB143))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20221,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB143)) | v118(constB143)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20220, 20219])).
% 42.21/27.87 tff(20222,plain,
% 42.21/27.87 (v118(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20221, 500, 20218])).
% 42.21/27.87 tff(20223,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB143)) | v117(constB143))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB143)) | v117(constB143))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20224,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB143)) | v117(constB143))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20225,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB143)) | v117(constB143)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20224, 20223])).
% 42.21/27.87 tff(20226,plain,
% 42.21/27.87 ($false),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20225, 511, 20222, 20187])).
% 42.21/27.87 tff(20227,plain,(v100(constB144) | v130(constB143, bitIndex0) | v26(constB143) | v90(constB144, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.87 tff(20228,plain,
% 42.21/27.87 (v100(constB144) | v130(constB143, bitIndex0) | v90(constB144, bitIndex0)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20227, 19787])).
% 42.21/27.87 tff(20229,plain,
% 42.21/27.87 (v130(constB143, bitIndex0)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20228, 20165, 20150])).
% 42.21/27.87 tff(20230,assumption,(~v90(constB144, bitIndex1)), introduced(assumption)).
% 42.21/27.87 tff(20231,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20232,plain,
% 42.21/27.87 (((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1)) <=> ((~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20233,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1)))),
% 42.21/27.87 inference(monotonicity,[status(thm)],[20232])).
% 42.21/27.87 tff(20234,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1))),
% 42.21/27.87 inference(transitivity,[status(thm)],[20233, 20231])).
% 42.21/27.87 tff(20235,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20236,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB143, bitIndex1)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex1)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20235, 20234])).
% 42.21/27.87 tff(20237,plain,
% 42.21/27.87 ((~v90(constB143, bitIndex1)) | v100(constB144) | v90(constB144, bitIndex1)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20236, 1192, 19805])).
% 42.21/27.87 tff(20238,plain,
% 42.21/27.87 (~v90(constB143, bitIndex1)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20237, 20165, 20230])).
% 42.21/27.87 tff(20239,assumption,(~v90(constB144, bitIndex2)), introduced(assumption)).
% 42.21/27.87 tff(20240,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20241,plain,
% 42.21/27.87 (((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2)) <=> ((~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20242,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2)))),
% 42.21/27.87 inference(monotonicity,[status(thm)],[20241])).
% 42.21/27.87 tff(20243,plain,
% 42.21/27.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2))),
% 42.21/27.87 inference(transitivity,[status(thm)],[20242, 20240])).
% 42.21/27.87 tff(20244,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20245,plain,
% 42.21/27.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB143, bitIndex2)) | (~nextState(constB143, constB144)) | v100(constB144) | v90(constB144, bitIndex2)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20244, 20243])).
% 42.21/27.87 tff(20246,plain,
% 42.21/27.87 ((~v90(constB143, bitIndex2)) | v100(constB144) | v90(constB144, bitIndex2)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20245, 783, 19805])).
% 42.21/27.87 tff(20247,plain,
% 42.21/27.87 (~v90(constB143, bitIndex2)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20246, 20165, 20239])).
% 42.21/27.87 tff(20248,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20249,plain,
% 42.21/27.87 ((v90(constB143, bitIndex0) | v119(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2)) <=> (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143))),
% 42.21/27.87 inference(rewrite,[status(thm)],[])).
% 42.21/27.87 tff(20250,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v119(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143)))),
% 42.21/27.87 inference(monotonicity,[status(thm)],[20249])).
% 42.21/27.87 tff(20251,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v119(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143))),
% 42.21/27.87 inference(transitivity,[status(thm)],[20250, 20248])).
% 42.21/27.87 tff(20252,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB143, bitIndex0) | v119(constB143) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2))),
% 42.21/27.87 inference(quant_inst,[status(thm)],[])).
% 42.21/27.87 tff(20253,plain,
% 42.21/27.87 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143)),
% 42.21/27.87 inference(modus_ponens,[status(thm)],[20252, 20251])).
% 42.21/27.87 tff(20254,plain,
% 42.21/27.87 (v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v119(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20253, 486, 20134])).
% 42.21/27.87 tff(20255,plain,
% 42.21/27.87 (v119(constB143)),
% 42.21/27.87 inference(unit_resolution,[status(thm)],[20254, 20247, 20238])).
% 42.21/27.87 tff(20256,plain,
% 42.21/27.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB143)) | (~v130(constB143, bitIndex0)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20257,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB143)) | (~v130(constB143, bitIndex0)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20258,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB143)) | (~v130(constB143, bitIndex0))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20257, 20256])).
% 42.21/27.88 tff(20259,plain,
% 42.21/27.88 ($false),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20258, 893, 20255, 20229])).
% 42.21/27.88 tff(20260,plain,(v100(constB144) | v90(constB143, bitIndex0) | v90(constB144, bitIndex2) | v90(constB144, bitIndex0) | v90(constB144, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.88 tff(20261,plain,
% 42.21/27.88 (v100(constB144)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20260, 20164, 20134, 20150, 20162])).
% 42.21/27.88 tff(20262,plain,
% 42.21/27.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20263,plain,
% 42.21/27.88 ((v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20264,plain,
% 42.21/27.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144))))),
% 42.21/27.88 inference(monotonicity,[status(thm)],[20263])).
% 42.21/27.88 tff(20265,plain,
% 42.21/27.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144)))),
% 42.21/27.88 inference(transitivity,[status(thm)],[20264, 20262])).
% 42.21/27.88 tff(20266,plain,
% 42.21/27.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~v100(constB144)) | (~v129(constB144, bitIndex0)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20267,plain,
% 42.21/27.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~v129(constB144, bitIndex0)) | (~v100(constB144))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20266, 20265])).
% 42.21/27.88 tff(20268,plain,
% 42.21/27.88 ((~v129(constB144, bitIndex0)) | (~v100(constB144))),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20267, 1582, 20150])).
% 42.21/27.88 tff(20269,plain,
% 42.21/27.88 (~v129(constB144, bitIndex0)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20268, 20261])).
% 42.21/27.88 tff(20270,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20271,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20272,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0)),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20271, 20270])).
% 42.21/27.88 tff(20273,plain,
% 42.21/27.88 ((~v127(constB143, bitIndex0)) | v129(constB144, bitIndex0)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20272, 1567, 19805])).
% 42.21/27.88 tff(20274,plain,
% 42.21/27.88 (~v127(constB143, bitIndex0)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20273, 20269])).
% 42.21/27.88 tff(20275,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20276,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20277,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB143) | (~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0)),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20276, 20275])).
% 42.21/27.88 tff(20278,plain,
% 42.21/27.88 ((~v130(constB143, bitIndex0)) | v127(constB143, bitIndex0)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20277, 1552, 19787])).
% 42.21/27.88 tff(20279,plain,
% 42.21/27.88 (~v130(constB143, bitIndex0)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20278, 20274])).
% 42.21/27.88 tff(20280,plain,
% 42.21/27.88 (~v121(constB143)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20203, 2088, 20279])).
% 42.21/27.88 tff(20281,plain,
% 42.21/27.88 ((~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[19966, 641, 20164])).
% 42.21/27.88 tff(20282,plain,
% 42.21/27.88 (~v129(constB144, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20281, 20261])).
% 42.21/27.88 tff(20283,plain,
% 42.21/27.88 (~v127(constB143, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[19959, 20282])).
% 42.21/27.88 tff(20284,plain,
% 42.21/27.88 (~v130(constB143, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[19954, 20283])).
% 42.21/27.88 tff(20285,plain,
% 42.21/27.88 (~v123(constB143)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[19949, 1074, 20284])).
% 42.21/27.88 tff(20286,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB143)) | v130(constB143, bitIndex2))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20287,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB143)) | v130(constB143, bitIndex2))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20288,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB143)) | v130(constB143, bitIndex2)),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20287, 20286])).
% 42.21/27.88 tff(20289,plain,
% 42.21/27.88 (~v119(constB143)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20288, 593, 20284])).
% 42.21/27.88 tff(20290,plain,
% 42.21/27.88 (~v122(constB143)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20198, 4538, 20134])).
% 42.21/27.88 tff(20291,plain,
% 42.21/27.88 (~v120(constB143)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20207, 10958, 20134])).
% 42.21/27.88 tff(20292,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB143)) | v90(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB143)) | v90(constB143, bitIndex0))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20293,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB143)) | v90(constB143, bitIndex0))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20294,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB143)) | v90(constB143, bitIndex0)),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20293, 20292])).
% 42.21/27.88 tff(20295,plain,
% 42.21/27.88 (~v124(constB143)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20294, 10973, 20134])).
% 42.21/27.88 tff(20296,plain,
% 42.21/27.88 (v119(constB143) | v121(constB143) | v123(constB143) | v130(constB143, bitIndex0)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20216, 1538, 20295, 20291, 20290])).
% 42.21/27.88 tff(20297,plain,
% 42.21/27.88 ($false),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20296, 20289, 20285, 20279, 20280])).
% 42.21/27.88 tff(20298,plain,(v90(constB144, bitIndex0) | v90(constB143, bitIndex0) | v123(constB145) | (~v130(constB145, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.21/27.88 tff(20299,plain,
% 42.21/27.88 (~v130(constB145, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20298, 20135, 20134, 19931])).
% 42.21/27.88 tff(20300,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20301,plain,
% 42.21/27.88 ((v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2))) <=> ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20302,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)))),
% 42.21/27.88 inference(monotonicity,[status(thm)],[20301])).
% 42.21/27.88 tff(20303,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 42.21/27.88 inference(transitivity,[status(thm)],[20302, 20300])).
% 42.21/27.88 tff(20304,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20305,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20304, 20303])).
% 42.21/27.88 tff(20306,plain,
% 42.21/27.88 ((~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20305, 1419, 19993])).
% 42.21/27.88 tff(20307,plain,
% 42.21/27.88 (~v127(constB145, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20306, 20299])).
% 42.21/27.88 tff(20308,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20309,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20310,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20309, 20308])).
% 42.21/27.88 tff(20311,plain,
% 42.21/27.88 (v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20310, 1437, 20038])).
% 42.21/27.88 tff(20312,plain,
% 42.21/27.88 (~v129(constB146, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20311, 20307])).
% 42.21/27.88 tff(20313,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20314,plain,
% 42.21/27.88 (((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0))) <=> (v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20315,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0))))),
% 42.21/27.88 inference(monotonicity,[status(thm)],[20314])).
% 42.21/27.88 tff(20316,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 42.21/27.88 inference(transitivity,[status(thm)],[20315, 20313])).
% 42.21/27.88 tff(20317,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20318,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 42.21/27.88 tff(20319,plain,
% 42.21/27.88 (v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0))),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20318, 465, 20038])).
% 42.21/27.88 tff(20320,plain,
% 42.21/27.88 (v100(constB146)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20319, 20101, 19940])).
% 42.21/27.88 tff(20321,plain,
% 42.21/27.88 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20322,plain,
% 42.21/27.88 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20323,plain,
% 42.21/27.88 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20322, 20321])).
% 42.21/27.88 tff(20324,plain,
% 42.21/27.88 ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20323, 1452, 20320])).
% 42.21/27.88 tff(20325,plain,
% 42.21/27.88 (~v90(constB146, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20324, 20312])).
% 42.21/27.88 tff(20326,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20327,plain,
% 42.21/27.88 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20328,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))))),
% 42.21/27.88 inference(monotonicity,[status(thm)],[20327])).
% 42.21/27.88 tff(20329,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 42.21/27.88 inference(transitivity,[status(thm)],[20328, 20326])).
% 42.21/27.88 tff(20330,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20331,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20330, 20329])).
% 42.21/27.88 tff(20332,plain,
% 42.21/27.88 (v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20331, 423, 20107])).
% 42.21/27.88 tff(20333,plain,
% 42.21/27.88 (v90(constB146, bitIndex2) | (~v90(constB147, bitIndex2))),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20332, 20119])).
% 42.21/27.88 tff(20334,plain,
% 42.21/27.88 (~v90(constB147, bitIndex2)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20333, 20325])).
% 42.21/27.88 tff(20335,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB145)) | (~v90(constB145, bitIndex1)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20336,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB145)) | (~v90(constB145, bitIndex1)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20337,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB145)) | (~v90(constB145, bitIndex1))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20336, 20335])).
% 42.21/27.88 tff(20338,plain,
% 42.21/27.88 (~v124(constB145)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20337, 1369, 19946])).
% 42.21/27.88 tff(20339,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB145)) | (~v90(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB145)) | (~v90(constB145, bitIndex2)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20340,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB145)) | (~v90(constB145, bitIndex2)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20341,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB145)) | (~v90(constB145, bitIndex2))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20340, 20339])).
% 42.21/27.88 tff(20342,plain,
% 42.21/27.88 (~v122(constB145)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20341, 1347, 19977])).
% 42.21/27.88 tff(20343,plain,
% 42.21/27.88 (~v119(constB145)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20160, 1380, 19946])).
% 42.21/27.88 tff(20344,plain,
% 42.21/27.88 (~v121(constB145)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20008, 1336, 19977])).
% 42.21/27.88 tff(20345,assumption,(~v120(constB145)), introduced(assumption)).
% 42.21/27.88 tff(20346,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20347,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20348,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20347, 20346])).
% 42.21/27.88 tff(20349,plain,
% 42.21/27.88 (v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20348, 1494, 20345])).
% 42.21/27.88 tff(20350,plain,
% 42.21/27.88 (~v130(constB145, bitIndex1)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20349, 20344, 20343, 20135, 20342, 20338])).
% 42.21/27.88 tff(20351,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20352,plain,
% 42.21/27.88 ((v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1))) <=> ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20353,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)))),
% 42.21/27.88 inference(monotonicity,[status(thm)],[20352])).
% 42.21/27.88 tff(20354,plain,
% 42.21/27.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 42.21/27.88 inference(transitivity,[status(thm)],[20353, 20351])).
% 42.21/27.88 tff(20355,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20356,plain,
% 42.21/27.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20355, 20354])).
% 42.21/27.88 tff(20357,plain,
% 42.21/27.88 ((~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20356, 823, 19993])).
% 42.21/27.88 tff(20358,plain,
% 42.21/27.88 (~v127(constB145, bitIndex1)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20357, 20350])).
% 42.21/27.88 tff(20359,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20360,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20361,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20360, 20359])).
% 42.21/27.88 tff(20362,plain,
% 42.21/27.88 (v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20361, 853, 20038])).
% 42.21/27.88 tff(20363,plain,
% 42.21/27.88 (~v129(constB146, bitIndex1)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20362, 20358])).
% 42.21/27.88 tff(20364,plain,
% 42.21/27.88 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20365,plain,
% 42.21/27.88 (((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20366,plain,
% 42.21/27.88 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))))),
% 42.21/27.88 inference(monotonicity,[status(thm)],[20365])).
% 42.21/27.88 tff(20367,plain,
% 42.21/27.88 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 42.21/27.88 inference(transitivity,[status(thm)],[20366, 20364])).
% 42.21/27.88 tff(20368,plain,
% 42.21/27.88 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))),
% 42.21/27.88 inference(quant_inst,[status(thm)],[])).
% 42.21/27.88 tff(20369,plain,
% 42.21/27.88 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))),
% 42.21/27.88 inference(modus_ponens,[status(thm)],[20368, 20367])).
% 42.21/27.88 tff(20370,plain,
% 42.21/27.88 ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20369, 868, 20320])).
% 42.21/27.88 tff(20371,plain,
% 42.21/27.88 (~v90(constB146, bitIndex1)),
% 42.21/27.88 inference(unit_resolution,[status(thm)],[20370, 20363])).
% 42.21/27.88 tff(20372,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20373,plain,
% 42.21/27.88 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 42.21/27.88 inference(rewrite,[status(thm)],[])).
% 42.21/27.88 tff(20374,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))))),
% 42.21/27.88 inference(monotonicity,[status(thm)],[20373])).
% 42.21/27.88 tff(20375,plain,
% 42.21/27.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 42.21/27.88 inference(transitivity,[status(thm)],[20374, 20372])).
% 42.21/27.88 tff(20376,plain,
% 42.21/27.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20377,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20376, 20375])).
% 42.21/27.89 tff(20378,plain,
% 42.21/27.89 (v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20377, 444, 20107])).
% 42.21/27.89 tff(20379,plain,
% 42.21/27.89 (v90(constB146, bitIndex1) | (~v90(constB147, bitIndex1))),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20378, 20119])).
% 42.21/27.89 tff(20380,plain,
% 42.21/27.89 (~v90(constB147, bitIndex1)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20379, 20371])).
% 42.21/27.89 tff(20381,assumption,(~v90(constB147, bitIndex1)), introduced(assumption)).
% 42.21/27.89 tff(20382,assumption,(~v90(constB147, bitIndex2)), introduced(assumption)).
% 42.21/27.89 tff(20383,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20384,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20385,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20384, 20383])).
% 42.21/27.89 tff(20386,plain,
% 42.21/27.89 ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20385, 1619, 20133])).
% 42.21/27.89 tff(20387,plain,
% 42.21/27.89 (~v90(constB147, bitIndex0)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20386, 20382, 20381])).
% 42.21/27.89 tff(20388,assumption,(~v119(constB147)), introduced(assumption)).
% 42.21/27.89 tff(20389,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v119(constB147))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v119(constB147))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20390,plain,
% 42.21/27.89 ((v90(constB147, bitIndex0) | v119(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)) <=> (v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v119(constB147))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20391,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB147, bitIndex0) | v119(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v119(constB147)))),
% 42.21/27.89 inference(monotonicity,[status(thm)],[20390])).
% 42.21/27.89 tff(20392,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB147, bitIndex0) | v119(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v119(constB147))),
% 42.21/27.89 inference(transitivity,[status(thm)],[20391, 20389])).
% 42.21/27.89 tff(20393,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB147, bitIndex0) | v119(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20394,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v119(constB147)),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20393, 20392])).
% 42.21/27.89 tff(20395,plain,
% 42.21/27.89 (v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20394, 486, 20388])).
% 42.21/27.89 tff(20396,plain,
% 42.21/27.89 ($false),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20395, 20387, 20382, 20381])).
% 42.21/27.89 tff(20397,plain,(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | v119(constB147) | v120(constB147)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.89 tff(20398,plain,
% 42.21/27.89 ($false),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20397, 20380, 20334, 20133, 20132])).
% 42.21/27.89 tff(20399,plain,((~v123(constB143)) | v120(constB147) | v120(constB145) | v90(constB143, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.89 tff(20400,plain,
% 42.21/27.89 (v120(constB147)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20399, 19898, 19761, 19765])).
% 42.21/27.89 tff(20401,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20402,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20403,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20402, 20401])).
% 42.21/27.89 tff(20404,plain,
% 42.21/27.89 (~v130(constB147, bitIndex2)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20403, 1732, 20400])).
% 42.21/27.89 tff(20405,assumption,(v26(constB147)), introduced(assumption)).
% 42.21/27.89 tff(20406,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20407,plain,
% 42.21/27.89 ($false),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20406, 95, 20405])).
% 42.21/27.89 tff(20408,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 42.21/27.89 tff(20409,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20410,plain,
% 42.21/27.89 ((v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2))) <=> ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20411,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)))),
% 42.21/27.89 inference(monotonicity,[status(thm)],[20410])).
% 42.21/27.89 tff(20412,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 42.21/27.89 inference(transitivity,[status(thm)],[20411, 20409])).
% 42.21/27.89 tff(20413,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20414,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20413, 20412])).
% 42.21/27.89 tff(20415,plain,
% 42.21/27.89 ((~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20414, 1419, 20408])).
% 42.21/27.89 tff(20416,plain,
% 42.21/27.89 (~v127(constB147, bitIndex2)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20415, 20404])).
% 42.21/27.89 tff(20417,plain,
% 42.21/27.89 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20418,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 42.21/27.89 tff(20419,plain,
% 42.21/27.89 (nextState(constB147, constB148)),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20418, 20417])).
% 42.21/27.89 tff(20420,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20421,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20422,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20421, 20420])).
% 42.21/27.89 tff(20423,plain,
% 42.21/27.89 (v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20422, 1437, 20419])).
% 42.21/27.89 tff(20424,plain,
% 42.21/27.89 (~v129(constB148, bitIndex2)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20423, 20416])).
% 42.21/27.89 tff(20425,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB147)) | (~v90(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB147)) | (~v90(constB147, bitIndex1)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20426,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB147)) | (~v90(constB147, bitIndex1)))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20427,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB147)) | (~v90(constB147, bitIndex1))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20426, 20425])).
% 42.21/27.89 tff(20428,plain,
% 42.21/27.89 (~v90(constB147, bitIndex1)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20427, 1391, 20400])).
% 42.21/27.89 tff(20429,assumption,(~v100(constB148)), introduced(assumption)).
% 42.21/27.89 tff(20430,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20431,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20432,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20431, 20430])).
% 42.21/27.89 tff(20433,plain,
% 42.21/27.89 (~v104(constB148)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20432, 659, 20419, 20104])).
% 42.21/27.89 tff(20434,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20435,plain,
% 42.21/27.89 (((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)) <=> ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20436,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148)))),
% 42.21/27.89 inference(monotonicity,[status(thm)],[20435])).
% 42.21/27.89 tff(20437,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 42.21/27.89 inference(transitivity,[status(thm)],[20436, 20434])).
% 42.21/27.89 tff(20438,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20439,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148)),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20438, 20437])).
% 42.21/27.89 tff(20440,plain,
% 42.21/27.89 (v104(constB148) | v102(constB148)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20439, 673, 20419])).
% 42.21/27.89 tff(20441,plain,
% 42.21/27.89 (v102(constB148)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20440, 20433])).
% 42.21/27.89 tff(20442,plain,
% 42.21/27.89 (v1(constB148) <=> v1(constB148)),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20443,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 42.21/27.89 tff(20444,plain,
% 42.21/27.89 (v1(constB148)),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20443, 20442])).
% 42.21/27.89 tff(20445,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20446,plain,
% 42.21/27.89 (((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))) <=> ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20447,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148))))),
% 42.21/27.89 inference(monotonicity,[status(thm)],[20446])).
% 42.21/27.89 tff(20448,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 42.21/27.89 inference(transitivity,[status(thm)],[20447, 20445])).
% 42.21/27.89 tff(20449,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20450,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20449, 20448])).
% 42.21/27.89 tff(20451,plain,
% 42.21/27.89 (v101(constB148) | (~v102(constB148))),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20450, 694, 20419, 20444])).
% 42.21/27.89 tff(20452,plain,
% 42.21/27.89 (v101(constB148)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20451, 20441])).
% 42.21/27.89 tff(20453,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20454,plain,
% 42.21/27.89 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20455,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 42.21/27.89 inference(monotonicity,[status(thm)],[20454])).
% 42.21/27.89 tff(20456,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 42.21/27.89 inference(transitivity,[status(thm)],[20455, 20453])).
% 42.21/27.89 tff(20457,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20458,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20457, 20456])).
% 42.21/27.89 tff(20459,plain,
% 42.21/27.89 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20458, 712, 20419])).
% 42.21/27.89 tff(20460,plain,
% 42.21/27.89 (v100(constB148) | (~v110(constB148))),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20459, 20452])).
% 42.21/27.89 tff(20461,plain,
% 42.21/27.89 (~v110(constB148)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20460, 20429])).
% 42.21/27.89 tff(20462,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20463,plain,
% 42.21/27.89 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20464,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 42.21/27.89 inference(monotonicity,[status(thm)],[20463])).
% 42.21/27.89 tff(20465,plain,
% 42.21/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 42.21/27.89 inference(transitivity,[status(thm)],[20464, 20462])).
% 42.21/27.89 tff(20466,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20467,plain,
% 42.21/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20466, 20465])).
% 42.21/27.89 tff(20468,plain,
% 42.21/27.89 (v110(constB148) | (~v108(constB147))),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20467, 731, 20419])).
% 42.21/27.89 tff(20469,plain,
% 42.21/27.89 (~v108(constB147)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20468, 20461])).
% 42.21/27.89 tff(20470,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20471,plain,
% 42.21/27.89 (((~v112(constB147)) | v108(constB147)) <=> (v108(constB147) | (~v112(constB147)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20472,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147))))),
% 42.21/27.89 inference(monotonicity,[status(thm)],[20471])).
% 42.21/27.89 tff(20473,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 42.21/27.89 inference(transitivity,[status(thm)],[20472, 20470])).
% 42.21/27.89 tff(20474,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20475,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20474, 20473])).
% 42.21/27.89 tff(20476,plain,
% 42.21/27.89 (~v112(constB147)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20475, 746, 20469])).
% 42.21/27.89 tff(20477,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20478,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20479,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147)),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20478, 20477])).
% 42.21/27.89 tff(20480,plain,
% 42.21/27.89 ((~v113(constB147)) | v112(constB147)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20479, 581, 20408])).
% 42.21/27.89 tff(20481,plain,
% 42.21/27.89 (~v113(constB147)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20480, 20476])).
% 42.21/27.89 tff(20482,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20483,plain,
% 42.21/27.89 (((~v114(constB147)) | v113(constB147)) <=> (v113(constB147) | (~v114(constB147)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20484,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB147) | (~v114(constB147))))),
% 42.21/27.89 inference(monotonicity,[status(thm)],[20483])).
% 42.21/27.89 tff(20485,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147)))),
% 42.21/27.89 inference(transitivity,[status(thm)],[20484, 20482])).
% 42.21/27.89 tff(20486,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))),
% 42.21/27.89 inference(quant_inst,[status(thm)],[])).
% 42.21/27.89 tff(20487,plain,
% 42.21/27.89 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147))),
% 42.21/27.89 inference(modus_ponens,[status(thm)],[20486, 20485])).
% 42.21/27.89 tff(20488,plain,
% 42.21/27.89 (~v114(constB147)),
% 42.21/27.89 inference(unit_resolution,[status(thm)],[20487, 567, 20481])).
% 42.21/27.89 tff(20489,assumption,(~v90(constB148, bitIndex1)), introduced(assumption)).
% 42.21/27.89 tff(20490,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20491,plain,
% 42.21/27.89 (((~v115(constB147)) | v114(constB147)) <=> (v114(constB147) | (~v115(constB147)))),
% 42.21/27.89 inference(rewrite,[status(thm)],[])).
% 42.21/27.89 tff(20492,plain,
% 42.21/27.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147))))),
% 42.30/27.89 inference(monotonicity,[status(thm)],[20491])).
% 42.30/27.89 tff(20493,plain,
% 42.30/27.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 42.30/27.89 inference(transitivity,[status(thm)],[20492, 20490])).
% 42.30/27.89 tff(20494,plain,
% 42.30/27.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))),
% 42.30/27.89 inference(quant_inst,[status(thm)],[])).
% 42.30/27.89 tff(20495,plain,
% 42.30/27.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147))),
% 42.30/27.89 inference(modus_ponens,[status(thm)],[20494, 20493])).
% 42.30/27.89 tff(20496,plain,
% 42.30/27.89 (~v115(constB147)),
% 42.30/27.89 inference(unit_resolution,[status(thm)],[20495, 553, 20488])).
% 42.30/27.89 tff(20497,assumption,(~v90(constB148, bitIndex2)), introduced(assumption)).
% 42.30/27.89 tff(20498,plain,
% 42.30/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2))),
% 42.30/27.89 inference(rewrite,[status(thm)],[])).
% 42.30/27.89 tff(20499,plain,
% 42.30/27.89 (((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2)) <=> ((~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2))),
% 42.30/27.89 inference(rewrite,[status(thm)],[])).
% 42.30/27.89 tff(20500,plain,
% 42.30/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2)))),
% 42.30/27.89 inference(monotonicity,[status(thm)],[20499])).
% 42.30/27.89 tff(20501,plain,
% 42.30/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2))),
% 42.30/27.89 inference(transitivity,[status(thm)],[20500, 20498])).
% 42.30/27.89 tff(20502,plain,
% 42.30/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2))),
% 42.30/27.89 inference(quant_inst,[status(thm)],[])).
% 42.30/27.89 tff(20503,plain,
% 42.30/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2)),
% 42.30/27.89 inference(modus_ponens,[status(thm)],[20502, 20501])).
% 42.30/27.89 tff(20504,plain,
% 42.30/27.89 ((~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2)),
% 42.30/27.89 inference(unit_resolution,[status(thm)],[20503, 783, 20419])).
% 42.30/27.89 tff(20505,plain,
% 42.30/27.89 (~v90(constB147, bitIndex2)),
% 42.30/27.89 inference(unit_resolution,[status(thm)],[20504, 20429, 20497])).
% 42.30/27.89 tff(20506,plain,
% 42.30/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1))),
% 42.30/27.89 inference(rewrite,[status(thm)],[])).
% 42.30/27.89 tff(20507,plain,
% 42.30/27.89 (((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1)) <=> ((~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1))),
% 42.30/27.89 inference(rewrite,[status(thm)],[])).
% 42.30/27.89 tff(20508,plain,
% 42.30/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1)))),
% 42.30/27.89 inference(monotonicity,[status(thm)],[20507])).
% 42.30/27.89 tff(20509,plain,
% 42.30/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1))),
% 42.30/27.89 inference(transitivity,[status(thm)],[20508, 20506])).
% 42.30/27.89 tff(20510,plain,
% 42.30/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1))),
% 42.30/27.89 inference(quant_inst,[status(thm)],[])).
% 42.30/27.89 tff(20511,plain,
% 42.30/27.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1)),
% 42.30/27.89 inference(modus_ponens,[status(thm)],[20510, 20509])).
% 42.30/27.89 tff(20512,plain,
% 42.30/27.89 ((~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1)),
% 42.30/27.89 inference(unit_resolution,[status(thm)],[20511, 1192, 20419])).
% 42.30/27.89 tff(20513,plain,
% 42.30/27.89 (~v90(constB147, bitIndex1)),
% 42.30/27.89 inference(unit_resolution,[status(thm)],[20512, 20429, 20489])).
% 42.30/27.89 tff(20514,assumption,(~v90(constB148, bitIndex0)), introduced(assumption)).
% 42.30/27.89 tff(20515,plain,
% 42.30/27.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2))),
% 42.30/27.89 inference(rewrite,[status(thm)],[])).
% 42.30/27.89 tff(20516,plain,
% 42.30/27.89 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2)) <=> ((~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20517,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2)))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20516])).
% 42.30/27.90 tff(20518,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20517, 20515])).
% 42.30/27.90 tff(20519,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20520,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex2)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20519, 20518])).
% 42.30/27.90 tff(20521,plain,
% 42.30/27.90 ((~v90(constB146, bitIndex2)) | v100(constB147) | v90(constB147, bitIndex2)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20520, 783, 20107])).
% 42.30/27.90 tff(20522,plain,
% 42.30/27.90 ((~v90(constB146, bitIndex2)) | v90(constB147, bitIndex2)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20521, 20119])).
% 42.30/27.90 tff(20523,plain,
% 42.30/27.90 (~v90(constB146, bitIndex2)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20522, 20505])).
% 42.30/27.90 tff(20524,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20525,plain,
% 42.30/27.90 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20526,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1)))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20525])).
% 42.30/27.90 tff(20527,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20526, 20524])).
% 42.30/27.90 tff(20528,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20529,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex1)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20528, 20527])).
% 42.30/27.90 tff(20530,plain,
% 42.30/27.90 ((~v90(constB146, bitIndex1)) | v100(constB147) | v90(constB147, bitIndex1)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20529, 1192, 20107])).
% 42.30/27.90 tff(20531,plain,
% 42.30/27.90 ((~v90(constB146, bitIndex1)) | v90(constB147, bitIndex1)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20530, 20119])).
% 42.30/27.90 tff(20532,plain,
% 42.30/27.90 (~v90(constB146, bitIndex1)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20531, 20513])).
% 42.30/27.90 tff(20533,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20534,plain,
% 42.30/27.90 (((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0)) <=> ((~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20535,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0)))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20534])).
% 42.30/27.90 tff(20536,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20535, 20533])).
% 42.30/27.90 tff(20537,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20538,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20537, 20536])).
% 42.30/27.90 tff(20539,plain,
% 42.30/27.90 ((~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20538, 1600, 20419])).
% 42.30/27.90 tff(20540,plain,
% 42.30/27.90 (~v90(constB147, bitIndex0)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20539, 20429, 20514])).
% 42.30/27.90 tff(20541,plain,
% 42.30/27.90 (~v90(constB146, bitIndex0)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20127, 20540])).
% 42.30/27.90 tff(20542,assumption,(~v90(constB146, bitIndex1)), introduced(assumption)).
% 42.30/27.90 tff(20543,assumption,(~v100(constB146)), introduced(assumption)).
% 42.30/27.90 tff(20544,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20545,plain,
% 42.30/27.90 (((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0)) <=> ((~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20546,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0)))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20545])).
% 42.30/27.90 tff(20547,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20546, 20544])).
% 42.30/27.90 tff(20548,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20549,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex0)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20548, 20547])).
% 42.30/27.90 tff(20550,plain,
% 42.30/27.90 ((~v90(constB145, bitIndex0)) | v100(constB146) | v90(constB146, bitIndex0)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20549, 1600, 20038])).
% 42.30/27.90 tff(20551,plain,
% 42.30/27.90 (~v90(constB145, bitIndex0)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20550, 20543, 20044])).
% 42.30/27.90 tff(20552,plain,
% 42.30/27.90 (~v110(constB146)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20083, 20543])).
% 42.30/27.90 tff(20553,plain,
% 42.30/27.90 (~v108(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20091, 20552])).
% 42.30/27.90 tff(20554,assumption,(~v108(constB145)), introduced(assumption)).
% 42.30/27.90 tff(20555,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20556,plain,
% 42.30/27.90 (((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146))) <=> ((~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20557,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145)))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20556])).
% 42.30/27.90 tff(20558,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20557, 20555])).
% 42.30/27.90 tff(20559,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146)))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20560,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20559, 20558])).
% 42.30/27.90 tff(20561,plain,
% 42.30/27.90 ((~v110(constB146)) | v108(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20560, 3947, 20038])).
% 42.30/27.90 tff(20562,plain,
% 42.30/27.90 (~v110(constB146)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20561, 20554])).
% 42.30/27.90 tff(20563,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20564,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146)))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20565,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146))),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20564, 20563])).
% 42.30/27.90 tff(20566,plain,
% 42.30/27.90 (v110(constB146) | (~v100(constB146))),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20565, 3965, 20038])).
% 42.30/27.90 tff(20567,plain,
% 42.30/27.90 (~v100(constB146)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20566, 20562])).
% 42.30/27.90 tff(20568,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20569,plain,
% 42.30/27.90 (((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1)) <=> ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20570,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1)))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20569])).
% 42.30/27.90 tff(20571,plain,
% 42.30/27.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20570, 20568])).
% 42.30/27.90 tff(20572,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20573,plain,
% 42.30/27.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20572, 20571])).
% 42.30/27.90 tff(20574,plain,
% 42.30/27.90 ((~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20573, 1192, 20038])).
% 42.30/27.90 tff(20575,plain,
% 42.30/27.90 (~v90(constB145, bitIndex1)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20574, 20567, 20542])).
% 42.30/27.90 tff(20576,plain,
% 42.30/27.90 (~v112(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20098, 746, 20554])).
% 42.30/27.90 tff(20577,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v26(constB145)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v26(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20578,plain,
% 42.30/27.90 (((~v26(constB145)) | v108(constB145)) <=> (v108(constB145) | (~v26(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20579,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v26(constB145))))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20578])).
% 42.30/27.90 tff(20580,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v26(constB145)))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20579, 20577])).
% 42.30/27.90 tff(20581,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB145)) | v108(constB145))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20582,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v26(constB145))),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20581, 20580])).
% 42.30/27.90 tff(20583,plain,
% 42.30/27.90 (~v26(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20582, 1925, 20554])).
% 42.30/27.90 tff(20584,plain,
% 42.30/27.90 (~v113(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[19999, 581, 20583, 20576])).
% 42.30/27.90 tff(20585,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB145)) | v113(constB145))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20586,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20587,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB145)) | v113(constB145)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20586, 20585])).
% 42.30/27.90 tff(20588,plain,
% 42.30/27.90 (~v114(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20587, 567, 20584])).
% 42.30/27.90 tff(20589,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB145) | (~v115(constB145)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20590,plain,
% 42.30/27.90 (((~v115(constB145)) | v114(constB145)) <=> (v114(constB145) | (~v115(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20591,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB145) | (~v115(constB145))))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20590])).
% 42.30/27.90 tff(20592,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145)))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20591, 20589])).
% 42.30/27.90 tff(20593,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20594,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145))),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20593, 20592])).
% 42.30/27.90 tff(20595,plain,
% 42.30/27.90 (~v115(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20594, 553, 20588])).
% 42.30/27.90 tff(20596,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB145) | (~v123(constB145)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v123(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20597,plain,
% 42.30/27.90 (((~v123(constB145)) | v115(constB145)) <=> (v115(constB145) | (~v123(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20598,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB145)) | v115(constB145))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB145) | (~v123(constB145))))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20597])).
% 42.30/27.90 tff(20599,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB145)) | v115(constB145))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v123(constB145)))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20598, 20596])).
% 42.30/27.90 tff(20600,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB145)) | v115(constB145))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20601,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v123(constB145))),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20600, 20599])).
% 42.30/27.90 tff(20602,plain,
% 42.30/27.90 (~v123(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20601, 990, 20595])).
% 42.30/27.90 tff(20603,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20604,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20605,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20604, 20603])).
% 42.30/27.90 tff(20606,plain,
% 42.30/27.90 (v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | v123(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20605, 979, 19980])).
% 42.30/27.90 tff(20607,plain,
% 42.30/27.90 (~v90(constB145, bitIndex2)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20606, 20602, 20575])).
% 42.30/27.90 tff(20608,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v119(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v119(constB145))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20609,plain,
% 42.30/27.90 ((v90(constB145, bitIndex0) | v119(constB145) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)) <=> (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v119(constB145))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20610,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB145, bitIndex0) | v119(constB145) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v119(constB145)))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20609])).
% 42.30/27.90 tff(20611,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB145, bitIndex0) | v119(constB145) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v119(constB145))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20610, 20608])).
% 42.30/27.90 tff(20612,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB145, bitIndex0) | v119(constB145) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20613,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v119(constB145)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20612, 20611])).
% 42.30/27.90 tff(20614,plain,
% 42.30/27.90 (v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v119(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20613, 486, 19980])).
% 42.30/27.90 tff(20615,plain,
% 42.30/27.90 (v119(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20614, 20607, 20575])).
% 42.30/27.90 tff(20616,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB145) | (~v119(constB145)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB145) | (~v119(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20617,plain,
% 42.30/27.90 (((~v119(constB145)) | v118(constB145)) <=> (v118(constB145) | (~v119(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20618,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB145)) | v118(constB145))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB145) | (~v119(constB145))))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20617])).
% 42.30/27.90 tff(20619,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB145)) | v118(constB145))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB145) | (~v119(constB145)))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20618, 20616])).
% 42.30/27.90 tff(20620,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB145)) | v118(constB145))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20621,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB145) | (~v119(constB145))),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20620, 20619])).
% 42.30/27.90 tff(20622,plain,
% 42.30/27.90 (v118(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20621, 500, 20615])).
% 42.30/27.90 tff(20623,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB145) | (~v116(constB145)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v116(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20624,plain,
% 42.30/27.90 (((~v116(constB145)) | v115(constB145)) <=> (v115(constB145) | (~v116(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20625,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB145)) | v115(constB145))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB145) | (~v116(constB145))))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20624])).
% 42.30/27.90 tff(20626,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB145)) | v115(constB145))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v116(constB145)))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20625, 20623])).
% 42.30/27.90 tff(20627,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB145)) | v115(constB145))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20628,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v116(constB145))),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20627, 20626])).
% 42.30/27.90 tff(20629,plain,
% 42.30/27.90 (~v116(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20628, 539, 20595])).
% 42.30/27.90 tff(20630,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB145) | (~v117(constB145)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB145) | (~v117(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20631,plain,
% 42.30/27.90 (((~v117(constB145)) | v116(constB145)) <=> (v116(constB145) | (~v117(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20632,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB145)) | v116(constB145))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB145) | (~v117(constB145))))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20631])).
% 42.30/27.90 tff(20633,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB145)) | v116(constB145))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB145) | (~v117(constB145)))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20632, 20630])).
% 42.30/27.90 tff(20634,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB145)) | v116(constB145))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20635,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB145) | (~v117(constB145))),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20634, 20633])).
% 42.30/27.90 tff(20636,plain,
% 42.30/27.90 (~v117(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20635, 525, 20629])).
% 42.30/27.90 tff(20637,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB145) | (~v118(constB145)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB145) | (~v118(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20638,plain,
% 42.30/27.90 (((~v118(constB145)) | v117(constB145)) <=> (v117(constB145) | (~v118(constB145)))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20639,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB145)) | v117(constB145))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB145) | (~v118(constB145))))),
% 42.30/27.90 inference(monotonicity,[status(thm)],[20638])).
% 42.30/27.90 tff(20640,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB145)) | v117(constB145))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB145) | (~v118(constB145)))),
% 42.30/27.90 inference(transitivity,[status(thm)],[20639, 20637])).
% 42.30/27.90 tff(20641,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB145)) | v117(constB145))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20642,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB145) | (~v118(constB145))),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 42.30/27.90 tff(20643,plain,
% 42.30/27.90 ($false),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20642, 511, 20636, 20622])).
% 42.30/27.90 tff(20644,plain,(v108(constB145) | v90(constB145, bitIndex0) | v90(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.90 tff(20645,plain,
% 42.30/27.90 ($false),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20644, 20553, 20551, 20542])).
% 42.30/27.90 tff(20646,plain,(v100(constB146) | v90(constB146, bitIndex1) | v90(constB146, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.90 tff(20647,plain,
% 42.30/27.90 (v100(constB146)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20646, 20542, 20044])).
% 42.30/27.90 tff(20648,plain,
% 42.30/27.90 (~v129(constB146, bitIndex0)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20051, 20647])).
% 42.30/27.90 tff(20649,plain,
% 42.30/27.90 (~v127(constB145, bitIndex0)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20042, 20648])).
% 42.30/27.90 tff(20650,plain,
% 42.30/27.90 (~v130(constB145, bitIndex0)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20034, 20649])).
% 42.30/27.90 tff(20651,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB145)) | v130(constB145, bitIndex0))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20652,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB145)) | v130(constB145, bitIndex0))),
% 42.30/27.90 inference(quant_inst,[status(thm)],[])).
% 42.30/27.90 tff(20653,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB145)) | v130(constB145, bitIndex0)),
% 42.30/27.90 inference(modus_ponens,[status(thm)],[20652, 20651])).
% 42.30/27.90 tff(20654,plain,
% 42.30/27.90 (~v124(constB145)),
% 42.30/27.90 inference(unit_resolution,[status(thm)],[20653, 4083, 20650])).
% 42.30/27.90 tff(20655,plain,
% 42.30/27.90 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0))),
% 42.30/27.90 inference(rewrite,[status(thm)],[])).
% 42.30/27.90 tff(20656,plain,
% 42.30/27.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20657,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20656, 20655])).
% 42.30/27.91 tff(20658,plain,
% 42.30/27.91 (~v121(constB145)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20657, 2088, 20650])).
% 42.30/27.91 tff(20659,assumption,(~v90(constB146, bitIndex2)), introduced(assumption)).
% 42.30/27.91 tff(20660,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20661,plain,
% 42.30/27.91 ((v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20662,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146))))),
% 42.30/27.91 inference(monotonicity,[status(thm)],[20661])).
% 42.30/27.91 tff(20663,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))),
% 42.30/27.91 inference(transitivity,[status(thm)],[20662, 20660])).
% 42.30/27.91 tff(20664,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2)))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20665,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146))),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20664, 20663])).
% 42.30/27.91 tff(20666,plain,
% 42.30/27.91 ((~v129(constB146, bitIndex2)) | (~v100(constB146))),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20665, 641, 20659])).
% 42.30/27.91 tff(20667,plain,
% 42.30/27.91 (~v129(constB146, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20666, 20647])).
% 42.30/27.91 tff(20668,plain,
% 42.30/27.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20669,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20670,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20669, 20668])).
% 42.30/27.91 tff(20671,plain,
% 42.30/27.91 ((~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20670, 625, 20038])).
% 42.30/27.91 tff(20672,plain,
% 42.30/27.91 (~v127(constB145, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20671, 20667])).
% 42.30/27.91 tff(20673,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20674,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20675,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 42.30/27.91 tff(20676,plain,
% 42.30/27.91 ((~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20675, 607, 19993])).
% 42.30/27.91 tff(20677,plain,
% 42.30/27.91 (~v130(constB145, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20676, 20672])).
% 42.30/27.91 tff(20678,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB145)) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB145)) | v130(constB145, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20679,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB145)) | v130(constB145, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20680,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB145)) | v130(constB145, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20679, 20678])).
% 42.30/27.91 tff(20681,plain,
% 42.30/27.91 (~v122(constB145)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20680, 2224, 20677])).
% 42.30/27.91 tff(20682,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB145)) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB145)) | v130(constB145, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20683,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB145)) | v130(constB145, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20684,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB145)) | v130(constB145, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20683, 20682])).
% 42.30/27.91 tff(20685,plain,
% 42.30/27.91 (~v123(constB145)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20684, 1074, 20677])).
% 42.30/27.91 tff(20686,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB145)) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB145)) | v130(constB145, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20687,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB145)) | v130(constB145, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20688,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB145)) | v130(constB145, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20687, 20686])).
% 42.30/27.91 tff(20689,plain,
% 42.30/27.91 (~v119(constB145)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20688, 593, 20677])).
% 42.30/27.91 tff(20690,plain,
% 42.30/27.91 (v120(constB145) | v121(constB145) | v124(constB145)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20028, 1538, 20689, 20650, 20685, 20681])).
% 42.30/27.91 tff(20691,plain,
% 42.30/27.91 (v120(constB145)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20690, 20658, 20654])).
% 42.30/27.91 tff(20692,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20693,plain,
% 42.30/27.91 ((v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20694,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146))))),
% 42.30/27.91 inference(monotonicity,[status(thm)],[20693])).
% 42.30/27.91 tff(20695,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 42.30/27.91 inference(transitivity,[status(thm)],[20694, 20692])).
% 42.30/27.91 tff(20696,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20697,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146))),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20696, 20695])).
% 42.30/27.91 tff(20698,plain,
% 42.30/27.91 (~v129(constB146, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20697, 1174, 20647, 20542])).
% 42.30/27.91 tff(20699,plain,
% 42.30/27.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20700,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20701,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20700, 20699])).
% 42.30/27.91 tff(20702,plain,
% 42.30/27.91 ((~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20701, 1159, 20038])).
% 42.30/27.91 tff(20703,plain,
% 42.30/27.91 (~v127(constB145, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20702, 20698])).
% 42.30/27.91 tff(20704,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20705,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20706,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20705, 20704])).
% 42.30/27.91 tff(20707,plain,
% 42.30/27.91 ((~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20706, 1144, 19993])).
% 42.30/27.91 tff(20708,plain,
% 42.30/27.91 (~v130(constB145, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20707, 20703])).
% 42.30/27.91 tff(20709,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB145)) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB145)) | v130(constB145, bitIndex1))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20710,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB145)) | v130(constB145, bitIndex1))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20711,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB145)) | v130(constB145, bitIndex1)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20710, 20709])).
% 42.30/27.91 tff(20712,plain,
% 42.30/27.91 ($false),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20711, 1788, 20708, 20691])).
% 42.30/27.91 tff(20713,plain,(v90(constB146, bitIndex1) | v90(constB146, bitIndex0) | v90(constB146, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.91 tff(20714,plain,
% 42.30/27.91 ($false),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20713, 20541, 20532, 20523])).
% 42.30/27.91 tff(20715,plain,(v100(constB148) | v90(constB148, bitIndex0) | v90(constB148, bitIndex1) | v90(constB148, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.91 tff(20716,plain,
% 42.30/27.91 (v100(constB148)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20715, 20514, 20489, 20497])).
% 42.30/27.91 tff(20717,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20718,plain,
% 42.30/27.91 ((v90(constB148, bitIndex2) | (~v100(constB148)) | (~v129(constB148, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20719,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v100(constB148)) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148))))),
% 42.30/27.91 inference(monotonicity,[status(thm)],[20718])).
% 42.30/27.91 tff(20720,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v100(constB148)) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148)))),
% 42.30/27.91 inference(transitivity,[status(thm)],[20719, 20717])).
% 42.30/27.91 tff(20721,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v100(constB148)) | (~v129(constB148, bitIndex2)))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20722,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148))),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20721, 20720])).
% 42.30/27.91 tff(20723,plain,
% 42.30/27.91 ((~v129(constB148, bitIndex2)) | (~v100(constB148))),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20722, 641, 20497])).
% 42.30/27.91 tff(20724,plain,
% 42.30/27.91 (~v129(constB148, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20723, 20716])).
% 42.30/27.91 tff(20725,plain,
% 42.30/27.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20726,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20727,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20726, 20725])).
% 42.30/27.91 tff(20728,plain,
% 42.30/27.91 ((~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20727, 625, 20419])).
% 42.30/27.91 tff(20729,plain,
% 42.30/27.91 (~v127(constB147, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20728, 20724])).
% 42.30/27.91 tff(20730,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB147) | (~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB147) | (~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20731,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB147) | (~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20732,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB147) | (~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20731, 20730])).
% 42.30/27.91 tff(20733,plain,
% 42.30/27.91 ((~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20732, 607, 20408])).
% 42.30/27.91 tff(20734,plain,
% 42.30/27.91 (~v130(constB147, bitIndex2)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20733, 20729])).
% 42.30/27.91 tff(20735,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB147)) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB147)) | v130(constB147, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20736,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB147)) | v130(constB147, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20737,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB147)) | v130(constB147, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20736, 20735])).
% 42.30/27.91 tff(20738,plain,
% 42.30/27.91 (~v122(constB147)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20737, 2224, 20734])).
% 42.30/27.91 tff(20739,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20740,plain,
% 42.30/27.91 ((v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20741,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))))),
% 42.30/27.91 inference(monotonicity,[status(thm)],[20740])).
% 42.30/27.91 tff(20742,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 42.30/27.91 inference(transitivity,[status(thm)],[20741, 20739])).
% 42.30/27.91 tff(20743,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20744,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20743, 20742])).
% 42.30/27.91 tff(20745,plain,
% 42.30/27.91 ((~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20744, 1174, 20489])).
% 42.30/27.91 tff(20746,plain,
% 42.30/27.91 (~v129(constB148, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20745, 20716])).
% 42.30/27.91 tff(20747,plain,
% 42.30/27.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20748,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20749,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20748, 20747])).
% 42.30/27.91 tff(20750,plain,
% 42.30/27.91 ((~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20749, 1159, 20419])).
% 42.30/27.91 tff(20751,plain,
% 42.30/27.91 (~v127(constB147, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20750, 20746])).
% 42.30/27.91 tff(20752,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20753,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20754,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20753, 20752])).
% 42.30/27.91 tff(20755,plain,
% 42.30/27.91 ((~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20754, 1144, 20408])).
% 42.30/27.91 tff(20756,plain,
% 42.30/27.91 (~v130(constB147, bitIndex1)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20755, 20751])).
% 42.30/27.91 tff(20757,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB147)) | v130(constB147, bitIndex1))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20758,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB147)) | v130(constB147, bitIndex1))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20759,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB147)) | v130(constB147, bitIndex1)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20758, 20757])).
% 42.30/27.91 tff(20760,plain,
% 42.30/27.91 (~v121(constB147)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20759, 2050, 20756])).
% 42.30/27.91 tff(20761,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB147)) | v130(constB147, bitIndex1))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20762,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB147)) | v130(constB147, bitIndex1))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20763,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB147)) | v130(constB147, bitIndex1)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20762, 20761])).
% 42.30/27.91 tff(20764,plain,
% 42.30/27.91 (~v124(constB147)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20763, 7641, 20756])).
% 42.30/27.91 tff(20765,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB147)) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB147)) | v130(constB147, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20766,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB147)) | v130(constB147, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20767,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB147)) | v130(constB147, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20766, 20765])).
% 42.30/27.91 tff(20768,plain,
% 42.30/27.91 (~v123(constB147)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20767, 1074, 20734])).
% 42.30/27.91 tff(20769,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20770,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20771,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20770, 20769])).
% 42.30/27.91 tff(20772,plain,
% 42.30/27.91 (~v120(constB147)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20771, 1788, 20756])).
% 42.30/27.91 tff(20773,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB147)) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB147)) | v130(constB147, bitIndex2))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20774,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB147)) | v130(constB147, bitIndex2))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20775,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB147)) | v130(constB147, bitIndex2)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20774, 20773])).
% 42.30/27.91 tff(20776,plain,
% 42.30/27.91 (~v119(constB147)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20775, 593, 20734])).
% 42.30/27.91 tff(20777,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20778,plain,
% 42.30/27.91 ((v90(constB148, bitIndex0) | (~v100(constB148)) | (~v129(constB148, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148)))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20779,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v100(constB148)) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148))))),
% 42.30/27.91 inference(monotonicity,[status(thm)],[20778])).
% 42.30/27.91 tff(20780,plain,
% 42.30/27.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v100(constB148)) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148)))),
% 42.30/27.91 inference(transitivity,[status(thm)],[20779, 20777])).
% 42.30/27.91 tff(20781,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v100(constB148)) | (~v129(constB148, bitIndex0)))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20782,plain,
% 42.30/27.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148))),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20781, 20780])).
% 42.30/27.91 tff(20783,plain,
% 42.30/27.91 ((~v129(constB148, bitIndex0)) | (~v100(constB148))),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20782, 1582, 20514])).
% 42.30/27.91 tff(20784,plain,
% 42.30/27.91 (~v129(constB148, bitIndex0)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20783, 20716])).
% 42.30/27.91 tff(20785,plain,
% 42.30/27.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20786,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20787,plain,
% 42.30/27.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20786, 20785])).
% 42.30/27.91 tff(20788,plain,
% 42.30/27.91 ((~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20787, 1567, 20419])).
% 42.30/27.91 tff(20789,plain,
% 42.30/27.91 (~v127(constB147, bitIndex0)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20788, 20784])).
% 42.30/27.91 tff(20790,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB147) | (~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB147) | (~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20791,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB147) | (~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20792,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB147) | (~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20791, 20790])).
% 42.30/27.91 tff(20793,plain,
% 42.30/27.91 ((~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20792, 1552, 20408])).
% 42.30/27.91 tff(20794,plain,
% 42.30/27.91 (~v130(constB147, bitIndex0)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20793, 20789])).
% 42.30/27.91 tff(20795,plain,
% 42.30/27.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, bitIndex0))),
% 42.30/27.91 inference(rewrite,[status(thm)],[])).
% 42.30/27.91 tff(20796,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, bitIndex0))),
% 42.30/27.91 inference(quant_inst,[status(thm)],[])).
% 42.30/27.91 tff(20797,plain,
% 42.30/27.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, bitIndex0)),
% 42.30/27.91 inference(modus_ponens,[status(thm)],[20796, 20795])).
% 42.30/27.91 tff(20798,plain,
% 42.30/27.91 ($false),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20797, 1538, 20794, 20776, 20772, 20768, 20764, 20760, 20738])).
% 42.30/27.91 tff(20799,plain,(v90(constB148, bitIndex0) | v90(constB148, bitIndex1) | v90(constB148, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.91 tff(20800,plain,
% 42.30/27.91 (v90(constB148, bitIndex0)),
% 42.30/27.91 inference(unit_resolution,[status(thm)],[20799, 20489, 20497])).
% 42.30/27.91 tff(20801,plain,
% 42.30/27.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20802,plain,
% 42.30/27.92 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0))) <=> (v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20803,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20802])).
% 42.30/27.92 tff(20804,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20803, 20801])).
% 42.30/27.92 tff(20805,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20806,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20805, 20804])).
% 42.30/27.92 tff(20807,plain,
% 42.30/27.92 (v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0))),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20806, 465, 20419])).
% 42.30/27.92 tff(20808,plain,
% 42.30/27.92 (v90(constB147, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20807, 20429, 20800])).
% 42.30/27.92 tff(20809,plain,
% 42.30/27.92 (v120(constB147)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20385, 1619, 20808, 20513, 20505])).
% 42.30/27.92 tff(20810,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB147) | (~v120(constB147)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB147) | (~v120(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20811,plain,
% 42.30/27.92 (((~v120(constB147)) | v118(constB147)) <=> (v118(constB147) | (~v120(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20812,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB147) | (~v120(constB147))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20811])).
% 42.30/27.92 tff(20813,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB147) | (~v120(constB147)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20812, 20810])).
% 42.30/27.92 tff(20814,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20815,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB147) | (~v120(constB147))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20814, 20813])).
% 42.30/27.92 tff(20816,plain,
% 42.30/27.92 (v118(constB147)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20815, 1630, 20809])).
% 42.30/27.92 tff(20817,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20818,plain,
% 42.30/27.92 (((~v118(constB147)) | v117(constB147)) <=> (v117(constB147) | (~v118(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20819,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20818])).
% 42.30/27.92 tff(20820,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20819, 20817])).
% 42.30/27.92 tff(20821,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20822,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20821, 20820])).
% 42.30/27.92 tff(20823,plain,
% 42.30/27.92 (v117(constB147)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20822, 511, 20816])).
% 42.30/27.92 tff(20824,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20825,plain,
% 42.30/27.92 (((~v117(constB147)) | v116(constB147)) <=> (v116(constB147) | (~v117(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20826,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20825])).
% 42.30/27.92 tff(20827,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20826, 20824])).
% 42.30/27.92 tff(20828,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20829,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20828, 20827])).
% 42.30/27.92 tff(20830,plain,
% 42.30/27.92 (v116(constB147)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20829, 525, 20823])).
% 42.30/27.92 tff(20831,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB147)) | v115(constB147))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20832,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20833,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB147)) | v115(constB147)),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20832, 20831])).
% 42.30/27.92 tff(20834,plain,
% 42.30/27.92 ($false),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20833, 539, 20830, 20496])).
% 42.30/27.92 tff(20835,plain,(v100(constB148) | v90(constB148, bitIndex1) | v90(constB148, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.92 tff(20836,plain,
% 42.30/27.92 (v90(constB148, bitIndex2)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20835, 20429, 20489])).
% 42.30/27.92 tff(20837,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20838,plain,
% 42.30/27.92 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2))) <=> (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20839,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20838])).
% 42.30/27.92 tff(20840,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20839, 20837])).
% 42.30/27.92 tff(20841,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20842,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20841, 20840])).
% 42.30/27.92 tff(20843,plain,
% 42.30/27.92 (v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2))),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20842, 423, 20419])).
% 42.30/27.92 tff(20844,plain,
% 42.30/27.92 (v90(constB147, bitIndex2)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20843, 20836, 20429])).
% 42.30/27.92 tff(20845,assumption,(v90(constB148, bitIndex2)), introduced(assumption)).
% 42.30/27.92 tff(20846,plain,
% 42.30/27.92 (v90(constB147, bitIndex2)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20843, 20429, 20845])).
% 42.30/27.92 tff(20847,assumption,(v90(constB148, bitIndex0)), introduced(assumption)).
% 42.30/27.92 tff(20848,plain,
% 42.30/27.92 (v90(constB147, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20807, 20429, 20847])).
% 42.30/27.92 tff(20849,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v124(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v124(constB147))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20850,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v124(constB147))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20851,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v124(constB147)),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20850, 20849])).
% 42.30/27.92 tff(20852,plain,
% 42.30/27.92 (v124(constB147)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20851, 15368, 20848, 20513, 20846])).
% 42.30/27.92 tff(20853,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v124(constB147)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v124(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20854,plain,
% 42.30/27.92 (((~v124(constB147)) | v114(constB147)) <=> (v114(constB147) | (~v124(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20855,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v124(constB147))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20854])).
% 42.30/27.92 tff(20856,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v124(constB147)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20855, 20853])).
% 42.30/27.92 tff(20857,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB147)) | v114(constB147))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20858,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v124(constB147))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20857, 20856])).
% 42.30/27.92 tff(20859,plain,
% 42.30/27.92 (v114(constB147)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20858, 15276, 20852])).
% 42.30/27.92 tff(20860,plain,
% 42.30/27.92 ($false),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20487, 567, 20481, 20859])).
% 42.30/27.92 tff(20861,plain,(v100(constB148) | (~v90(constB148, bitIndex2)) | (~v90(constB148, bitIndex0)) | v90(constB148, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.92 tff(20862,plain,
% 42.30/27.92 (~v90(constB148, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20861, 20836, 20489, 20429])).
% 42.30/27.92 tff(20863,plain,
% 42.30/27.92 (~v90(constB147, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20539, 20862, 20429])).
% 42.30/27.92 tff(20864,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v123(constB147))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v123(constB147))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20865,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v123(constB147))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20866,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v123(constB147)),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20865, 20864])).
% 42.30/27.92 tff(20867,plain,
% 42.30/27.92 (v123(constB147)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20866, 979, 20863, 20513, 20844])).
% 42.30/27.92 tff(20868,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v123(constB147)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v123(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20869,plain,
% 42.30/27.92 (((~v123(constB147)) | v115(constB147)) <=> (v115(constB147) | (~v123(constB147)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20870,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v123(constB147))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20869])).
% 42.30/27.92 tff(20871,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v123(constB147)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20870, 20868])).
% 42.30/27.92 tff(20872,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB147)) | v115(constB147))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20873,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v123(constB147))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20872, 20871])).
% 42.30/27.92 tff(20874,plain,
% 42.30/27.92 (v115(constB147)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20873, 990, 20867])).
% 42.30/27.92 tff(20875,plain,
% 42.30/27.92 ($false),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20495, 553, 20874, 20488])).
% 42.30/27.92 tff(20876,plain,(v100(constB148) | v90(constB148, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.92 tff(20877,plain,
% 42.30/27.92 (v90(constB148, bitIndex1)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20876, 20429])).
% 42.30/27.92 tff(20878,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20879,plain,
% 42.30/27.92 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1))) <=> (v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20880,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20879])).
% 42.30/27.92 tff(20881,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20880, 20878])).
% 42.30/27.92 tff(20882,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20883,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20882, 20881])).
% 42.30/27.92 tff(20884,plain,
% 42.30/27.92 (v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1))),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20883, 444, 20419])).
% 42.30/27.92 tff(20885,plain,
% 42.30/27.92 ($false),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20884, 20877, 20429, 20381])).
% 42.30/27.92 tff(20886,plain,(v100(constB148) | v90(constB147, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.92 tff(20887,plain,
% 42.30/27.92 (v100(constB148)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20886, 20428])).
% 42.30/27.92 tff(20888,plain,
% 42.30/27.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20889,plain,
% 42.30/27.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20890,plain,
% 42.30/27.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20889, 20888])).
% 42.30/27.92 tff(20891,plain,
% 42.30/27.92 (~v90(constB148, bitIndex2)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20890, 1452, 20887, 20424])).
% 42.30/27.92 tff(20892,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20893,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20894,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20893, 20892])).
% 42.30/27.92 tff(20895,plain,
% 42.30/27.92 (~v130(constB147, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20894, 1826, 20400])).
% 42.30/27.92 tff(20896,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20897,plain,
% 42.30/27.92 ((v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0))) <=> ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20898,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20897])).
% 42.30/27.92 tff(20899,plain,
% 42.30/27.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20898, 20896])).
% 42.30/27.92 tff(20900,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20901,plain,
% 42.30/27.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20900, 20899])).
% 42.30/27.92 tff(20902,plain,
% 42.30/27.92 ((~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20901, 907, 20408])).
% 42.30/27.92 tff(20903,plain,
% 42.30/27.92 (~v127(constB147, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20902, 20895])).
% 42.30/27.92 tff(20904,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20905,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20906,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20905, 20904])).
% 42.30/27.92 tff(20907,plain,
% 42.30/27.92 (v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20906, 937, 20419])).
% 42.30/27.92 tff(20908,plain,
% 42.30/27.92 (~v129(constB148, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20907, 20903])).
% 42.30/27.92 tff(20909,plain,
% 42.30/27.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20910,plain,
% 42.30/27.92 (((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20911,plain,
% 42.30/27.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20910])).
% 42.30/27.92 tff(20912,plain,
% 42.30/27.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20911, 20909])).
% 42.30/27.92 tff(20913,plain,
% 42.30/27.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20914,plain,
% 42.30/27.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20913, 20912])).
% 42.30/27.92 tff(20915,plain,
% 42.30/27.92 (~v90(constB148, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20914, 952, 20887, 20908])).
% 42.30/27.92 tff(20916,plain,
% 42.30/27.92 ((~v1(constB149)) <=> (~v1(constB149))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20917,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 42.30/27.92 tff(20918,plain,
% 42.30/27.92 (~v1(constB149)),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20917, 20916])).
% 42.30/27.92 tff(20919,plain,
% 42.30/27.92 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20920,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 42.30/27.92 tff(20921,plain,
% 42.30/27.92 (nextState(constB148, constB149)),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20920, 20919])).
% 42.30/27.92 tff(20922,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20923,plain,
% 42.30/27.92 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20924,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20923])).
% 42.30/27.92 tff(20925,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20924, 20922])).
% 42.30/27.92 tff(20926,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20927,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20926, 20925])).
% 42.30/27.92 tff(20928,plain,
% 42.30/27.92 (~v101(constB149)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20927, 391, 20921, 20918])).
% 42.30/27.92 tff(20929,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20930,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20931,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20930, 20929])).
% 42.30/27.92 tff(20932,plain,
% 42.30/27.92 (v101(constB149) | (~v100(constB149))),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20931, 408, 20921])).
% 42.30/27.92 tff(20933,plain,
% 42.30/27.92 (~v100(constB149)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20932, 20928])).
% 42.30/27.92 tff(20934,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20935,plain,
% 42.30/27.92 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 42.30/27.92 inference(rewrite,[status(thm)],[])).
% 42.30/27.92 tff(20936,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))))),
% 42.30/27.92 inference(monotonicity,[status(thm)],[20935])).
% 42.30/27.92 tff(20937,plain,
% 42.30/27.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 42.30/27.92 inference(transitivity,[status(thm)],[20936, 20934])).
% 42.30/27.92 tff(20938,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 42.30/27.92 inference(quant_inst,[status(thm)],[])).
% 42.30/27.92 tff(20939,plain,
% 42.30/27.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 42.30/27.92 inference(modus_ponens,[status(thm)],[20938, 20937])).
% 42.30/27.92 tff(20940,plain,
% 42.30/27.92 (v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20939, 465, 20921])).
% 42.30/27.92 tff(20941,plain,
% 42.30/27.92 (v90(constB148, bitIndex0) | (~v90(constB149, bitIndex0))),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20940, 20933])).
% 42.30/27.92 tff(20942,plain,
% 42.30/27.92 (~v90(constB149, bitIndex0)),
% 42.30/27.92 inference(unit_resolution,[status(thm)],[20941, 20915])).
% 42.30/27.93 tff(20943,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB149)) | v90(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB149)) | v90(constB149, bitIndex0))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(20944,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB149)) | v90(constB149, bitIndex0))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(20945,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB149)) | v90(constB149, bitIndex0)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[20944, 20943])).
% 42.30/27.93 tff(20946,plain,
% 42.30/27.93 (~v122(constB149)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20945, 4538, 20942])).
% 42.30/27.93 tff(20947,plain,
% 42.30/27.93 (v90(constB148, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20799, 20497, 20514])).
% 42.30/27.93 tff(20948,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(20949,plain,
% 42.30/27.93 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(20950,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)))),
% 42.30/27.93 inference(monotonicity,[status(thm)],[20949])).
% 42.30/27.93 tff(20951,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 42.30/27.93 inference(transitivity,[status(thm)],[20950, 20948])).
% 42.30/27.93 tff(20952,plain,
% 42.30/27.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(20953,plain,
% 42.30/27.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[20952, 20951])).
% 42.30/27.93 tff(20954,plain,
% 42.30/27.93 ((~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20953, 1192, 20921])).
% 42.30/27.93 tff(20955,plain,
% 42.30/27.93 ((~v90(constB148, bitIndex1)) | v90(constB149, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20954, 20933])).
% 42.30/27.93 tff(20956,plain,
% 42.30/27.93 (v90(constB149, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20955, 20947])).
% 42.30/27.93 tff(20957,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB149)) | (~v90(constB149, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB149)) | (~v90(constB149, bitIndex1)))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(20958,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB149)) | (~v90(constB149, bitIndex1)))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(20959,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB149)) | (~v90(constB149, bitIndex1))),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[20958, 20957])).
% 42.30/27.93 tff(20960,plain,
% 42.30/27.93 (~v123(constB149)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20959, 1358, 20956])).
% 42.30/27.93 tff(20961,assumption,(~v122(constB149)), introduced(assumption)).
% 42.30/27.93 tff(20962,plain,
% 42.30/27.93 (~v90(constB149, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20941, 20514])).
% 42.30/27.93 tff(20963,plain,
% 42.30/27.93 (~v122(constB149)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20945, 4538, 20962])).
% 42.30/27.93 tff(20964,assumption,(v121(constB147)), introduced(assumption)).
% 42.30/27.93 tff(20965,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB147)) | v117(constB147))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(20966,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB147)) | v117(constB147))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(20967,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB147)) | v117(constB147)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[20966, 20965])).
% 42.30/27.93 tff(20968,plain,
% 42.30/27.93 (v117(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20967, 1881, 20964])).
% 42.30/27.93 tff(20969,plain,
% 42.30/27.93 (v116(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20829, 525, 20968])).
% 42.30/27.93 tff(20970,plain,
% 42.30/27.93 (v115(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20833, 539, 20969])).
% 42.30/27.93 tff(20971,plain,
% 42.30/27.93 (v114(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20495, 553, 20970])).
% 42.30/27.93 tff(20972,plain,
% 42.30/27.93 (v113(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20487, 567, 20971])).
% 42.30/27.93 tff(20973,plain,
% 42.30/27.93 (v112(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20480, 20972])).
% 42.30/27.93 tff(20974,plain,
% 42.30/27.93 (v108(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20475, 746, 20973])).
% 42.30/27.93 tff(20975,plain,
% 42.30/27.93 (v110(constB148)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20468, 20974])).
% 42.30/27.93 tff(20976,plain,
% 42.30/27.93 (v100(constB148)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20460, 20975])).
% 42.30/27.93 tff(20977,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB147)) | (~v130(constB147, bitIndex2)))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(20978,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB147)) | (~v130(constB147, bitIndex2)))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(20979,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB147)) | (~v130(constB147, bitIndex2))),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[20978, 20977])).
% 42.30/27.93 tff(20980,plain,
% 42.30/27.93 (~v130(constB147, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20979, 1990, 20964])).
% 42.30/27.93 tff(20981,plain,
% 42.30/27.93 (~v127(constB147, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20415, 20980])).
% 42.30/27.93 tff(20982,plain,
% 42.30/27.93 (~v129(constB148, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20423, 20981])).
% 42.30/27.93 tff(20983,plain,
% 42.30/27.93 ((~v90(constB148, bitIndex2)) | (~v100(constB148))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20890, 1452, 20982])).
% 42.30/27.93 tff(20984,plain,
% 42.30/27.93 (~v90(constB148, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20983, 20976])).
% 42.30/27.93 tff(20985,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(20986,plain,
% 42.30/27.93 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(20987,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))))),
% 42.30/27.93 inference(monotonicity,[status(thm)],[20986])).
% 42.30/27.93 tff(20988,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 42.30/27.93 inference(transitivity,[status(thm)],[20987, 20985])).
% 42.30/27.93 tff(20989,plain,
% 42.30/27.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(20990,plain,
% 42.30/27.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[20989, 20988])).
% 42.30/27.93 tff(20991,plain,
% 42.30/27.93 (v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20990, 423, 20921])).
% 42.30/27.93 tff(20992,plain,
% 42.30/27.93 (v90(constB148, bitIndex2) | (~v90(constB149, bitIndex2))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20991, 20933])).
% 42.30/27.93 tff(20993,plain,
% 42.30/27.93 (~v90(constB149, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20992, 20984])).
% 42.30/27.93 tff(20994,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB147)) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB147)) | v130(constB147, bitIndex0))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(20995,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB147)) | v130(constB147, bitIndex0))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(20996,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB147)) | v130(constB147, bitIndex0)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[20995, 20994])).
% 42.30/27.93 tff(20997,plain,
% 42.30/27.93 (v130(constB147, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20996, 2088, 20964])).
% 42.30/27.93 tff(20998,plain,
% 42.30/27.93 (v127(constB147, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20793, 20997])).
% 42.30/27.93 tff(20999,plain,
% 42.30/27.93 (v129(constB148, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20788, 20998])).
% 42.30/27.93 tff(21000,plain,
% 42.30/27.93 (v90(constB148, bitIndex0) | (~v100(constB148))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20782, 1582, 20999])).
% 42.30/27.93 tff(21001,plain,
% 42.30/27.93 (v90(constB148, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21000, 20976])).
% 42.30/27.93 tff(21002,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex0))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21003,plain,
% 42.30/27.93 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex0)) | v100(constB149) | v90(constB149, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex0))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21004,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex0)) | v100(constB149) | v90(constB149, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex0)))),
% 42.30/27.93 inference(monotonicity,[status(thm)],[21003])).
% 42.30/27.93 tff(21005,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex0)) | v100(constB149) | v90(constB149, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex0))),
% 42.30/27.93 inference(transitivity,[status(thm)],[21004, 21002])).
% 42.30/27.93 tff(21006,plain,
% 42.30/27.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex0)) | v100(constB149) | v90(constB149, bitIndex0))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21007,plain,
% 42.30/27.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex0)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21006, 21005])).
% 42.30/27.93 tff(21008,plain,
% 42.30/27.93 ((~v90(constB148, bitIndex0)) | v100(constB149) | v90(constB149, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21007, 1600, 20921])).
% 42.30/27.93 tff(21009,plain,
% 42.30/27.93 ((~v90(constB148, bitIndex0)) | v90(constB149, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21008, 20933])).
% 42.30/27.93 tff(21010,plain,
% 42.30/27.93 (v90(constB149, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21009, 21001])).
% 42.30/27.93 tff(21011,plain,
% 42.30/27.93 (v130(constB147, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20759, 2050, 20964])).
% 42.30/27.93 tff(21012,plain,
% 42.30/27.93 (v127(constB147, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20755, 21011])).
% 42.30/27.93 tff(21013,plain,
% 42.30/27.93 (v129(constB148, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20750, 21012])).
% 42.30/27.93 tff(21014,plain,
% 42.30/27.93 (v90(constB148, bitIndex1) | (~v100(constB148))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20744, 1174, 21013])).
% 42.30/27.93 tff(21015,plain,
% 42.30/27.93 (v90(constB148, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21014, 20976])).
% 42.30/27.93 tff(21016,plain,
% 42.30/27.93 (v90(constB149, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20955, 21015])).
% 42.30/27.93 tff(21017,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB149, bitIndex0)) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v122(constB149))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB149, bitIndex0)) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v122(constB149))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21018,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB149, bitIndex0)) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v122(constB149))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21019,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB149, bitIndex0)) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v122(constB149)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21018, 21017])).
% 42.30/27.93 tff(21020,plain,
% 42.30/27.93 ((~v90(constB149, bitIndex0)) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21019, 2129, 20961])).
% 42.30/27.93 tff(21021,plain,
% 42.30/27.93 ($false),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21020, 21016, 21010, 20993])).
% 42.30/27.93 tff(21022,plain,((~v121(constB147)) | v122(constB149)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.93 tff(21023,plain,
% 42.30/27.93 (~v121(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21022, 20963])).
% 42.30/27.93 tff(21024,assumption,(v90(constB148, bitIndex1)), introduced(assumption)).
% 42.30/27.93 tff(21025,plain,
% 42.30/27.93 (v90(constB147, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20884, 20429, 21024])).
% 42.30/27.93 tff(21026,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | (~v90(constB147, bitIndex2)) | v125(constB147))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | (~v90(constB147, bitIndex2)) | v125(constB147))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21027,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | (~v90(constB147, bitIndex2)) | v125(constB147))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21028,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | (~v90(constB147, bitIndex2)) | v125(constB147)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21027, 21026])).
% 42.30/27.93 tff(21029,plain,
% 42.30/27.93 (v125(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21028, 1252, 20540, 21025, 20846])).
% 42.30/27.93 tff(21030,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB147)) | v113(constB147))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21031,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB147)) | v113(constB147))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21032,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB147)) | v113(constB147)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21031, 21030])).
% 42.30/27.93 tff(21033,plain,
% 42.30/27.93 ($false),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21032, 1263, 20481, 21029])).
% 42.30/27.93 tff(21034,plain,(v100(constB148) | (~v90(constB148, bitIndex2)) | v90(constB148, bitIndex0) | (~v90(constB148, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.30/27.93 tff(21035,plain,
% 42.30/27.93 (~v90(constB148, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21034, 20429, 20514, 20877])).
% 42.30/27.93 tff(21036,plain,
% 42.30/27.93 (~v90(constB147, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20504, 20429, 21035])).
% 42.30/27.93 tff(21037,plain,
% 42.30/27.93 (v90(constB147, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20886, 20429])).
% 42.30/27.93 tff(21038,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v121(constB147))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v121(constB147))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21039,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v121(constB147))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21040,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v121(constB147)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21039, 21038])).
% 42.30/27.93 tff(21041,plain,
% 42.30/27.93 ($false),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21040, 1870, 20540, 21037, 21036, 21023])).
% 42.30/27.93 tff(21042,plain,(v100(constB148) | v90(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.93 tff(21043,plain,
% 42.30/27.93 (v100(constB148)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21042, 20514])).
% 42.30/27.93 tff(21044,plain,
% 42.30/27.93 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148)))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21045,plain,
% 42.30/27.93 (((~v90(constB148, bitIndex1)) | (~v100(constB148)) | v129(constB148, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148)))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21046,plain,
% 42.30/27.93 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~v100(constB148)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148))))),
% 42.30/27.93 inference(monotonicity,[status(thm)],[21045])).
% 42.30/27.93 tff(21047,plain,
% 42.30/27.93 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~v100(constB148)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148)))),
% 42.30/27.93 inference(transitivity,[status(thm)],[21046, 21044])).
% 42.30/27.93 tff(21048,plain,
% 42.30/27.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~v100(constB148)) | v129(constB148, bitIndex1))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21049,plain,
% 42.30/27.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1) | (~v100(constB148))),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21048, 21047])).
% 42.30/27.93 tff(21050,plain,
% 42.30/27.93 ((~v90(constB148, bitIndex1)) | v129(constB148, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21049, 868, 21043])).
% 42.30/27.93 tff(21051,plain,
% 42.30/27.93 (v129(constB148, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21050, 20947])).
% 42.30/27.93 tff(21052,plain,
% 42.30/27.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1)))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21053,plain,
% 42.30/27.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1)))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21054,plain,
% 42.30/27.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1))),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21053, 21052])).
% 42.30/27.93 tff(21055,plain,
% 42.30/27.93 (v127(constB147, bitIndex1) | (~v129(constB148, bitIndex1))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21054, 853, 20419])).
% 42.30/27.93 tff(21056,plain,
% 42.30/27.93 (v127(constB147, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21055, 21051])).
% 42.30/27.93 tff(21057,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21058,plain,
% 42.30/27.93 ((v26(constB147) | v130(constB147, bitIndex1) | (~v127(constB147, bitIndex1))) <=> ((~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21059,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB147) | v130(constB147, bitIndex1) | (~v127(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1)))),
% 42.30/27.93 inference(monotonicity,[status(thm)],[21058])).
% 42.30/27.93 tff(21060,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB147) | v130(constB147, bitIndex1) | (~v127(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1))),
% 42.30/27.93 inference(transitivity,[status(thm)],[21059, 21057])).
% 42.30/27.93 tff(21061,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB147) | v130(constB147, bitIndex1) | (~v127(constB147, bitIndex1)))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21062,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB147, bitIndex1)) | v26(constB147) | v130(constB147, bitIndex1)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21061, 21060])).
% 42.30/27.93 tff(21063,plain,
% 42.30/27.93 ((~v127(constB147, bitIndex1)) | v130(constB147, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21062, 823, 20408])).
% 42.30/27.93 tff(21064,plain,
% 42.30/27.93 (v130(constB147, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21063, 21056])).
% 42.30/27.93 tff(21065,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB147)) | (~v130(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB147)) | (~v130(constB147, bitIndex1)))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21066,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB147)) | (~v130(constB147, bitIndex1)))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21067,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB147)) | (~v130(constB147, bitIndex1))),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21066, 21065])).
% 42.30/27.93 tff(21068,plain,
% 42.30/27.93 (~v122(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21067, 2281, 21064])).
% 42.30/27.93 tff(21069,plain,
% 42.30/27.93 (~v129(constB148, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20782, 1582, 21043, 20514])).
% 42.30/27.93 tff(21070,plain,
% 42.30/27.93 (~v127(constB147, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20788, 21069])).
% 42.30/27.93 tff(21071,plain,
% 42.30/27.93 (~v130(constB147, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20793, 21070])).
% 42.30/27.93 tff(21072,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB147)) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB147)) | v130(constB147, bitIndex0))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21073,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB147)) | v130(constB147, bitIndex0))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21074,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB147)) | v130(constB147, bitIndex0)),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21073, 21072])).
% 42.30/27.93 tff(21075,plain,
% 42.30/27.93 (~v124(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21074, 4083, 21071])).
% 42.30/27.93 tff(21076,plain,
% 42.30/27.93 (v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20722, 641, 21043])).
% 42.30/27.93 tff(21077,plain,
% 42.30/27.93 (~v129(constB148, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21076, 20497])).
% 42.30/27.93 tff(21078,plain,
% 42.30/27.93 (~v127(constB147, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20728, 21077])).
% 42.30/27.93 tff(21079,plain,
% 42.30/27.93 (~v130(constB147, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20733, 21078])).
% 42.30/27.93 tff(21080,plain,
% 42.30/27.93 (~v123(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20767, 1074, 21079])).
% 42.30/27.93 tff(21081,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB147)) | (~v130(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB147)) | (~v130(constB147, bitIndex1)))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21082,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB147)) | (~v130(constB147, bitIndex1)))),
% 42.30/27.93 inference(quant_inst,[status(thm)],[])).
% 42.30/27.93 tff(21083,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB147)) | (~v130(constB147, bitIndex1))),
% 42.30/27.93 inference(modus_ponens,[status(thm)],[21082, 21081])).
% 42.30/27.93 tff(21084,plain,
% 42.30/27.93 (~v119(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21083, 809, 21064])).
% 42.30/27.93 tff(21085,plain,
% 42.30/27.93 (~v121(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21022, 20961])).
% 42.30/27.93 tff(21086,plain,
% 42.30/27.93 (v119(constB147) | v120(constB147) | v122(constB147) | v123(constB147) | v124(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20797, 1538, 21071, 21085])).
% 42.30/27.93 tff(21087,plain,
% 42.30/27.93 (v120(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21086, 21084, 21080, 21075, 21068])).
% 42.30/27.93 tff(21088,assumption,(v120(constB147)), introduced(assumption)).
% 42.30/27.93 tff(21089,plain,
% 42.30/27.93 (v118(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20815, 1630, 21088])).
% 42.30/27.93 tff(21090,plain,
% 42.30/27.93 (v117(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20822, 511, 21089])).
% 42.30/27.93 tff(21091,plain,
% 42.30/27.93 (v116(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20829, 525, 21090])).
% 42.30/27.93 tff(21092,plain,
% 42.30/27.93 (v115(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20833, 539, 21091])).
% 42.30/27.93 tff(21093,plain,
% 42.30/27.93 (v114(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20495, 553, 21092])).
% 42.30/27.93 tff(21094,plain,
% 42.30/27.93 (v113(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20487, 567, 21093])).
% 42.30/27.93 tff(21095,plain,
% 42.30/27.93 (v112(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20480, 21094])).
% 42.30/27.93 tff(21096,plain,
% 42.30/27.93 (v108(constB147)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20475, 746, 21095])).
% 42.30/27.93 tff(21097,plain,
% 42.30/27.93 (v110(constB148)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20468, 21096])).
% 42.30/27.93 tff(21098,plain,
% 42.30/27.93 (v100(constB148)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20460, 21097])).
% 42.30/27.93 tff(21099,plain,
% 42.30/27.93 (~v130(constB147, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20403, 1732, 21088])).
% 42.30/27.93 tff(21100,plain,
% 42.30/27.93 (~v127(constB147, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20415, 21099])).
% 42.30/27.93 tff(21101,plain,
% 42.30/27.93 (~v129(constB148, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20423, 21100])).
% 42.30/27.93 tff(21102,plain,
% 42.30/27.93 ((~v90(constB148, bitIndex2)) | (~v100(constB148))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20890, 1452, 21101])).
% 42.30/27.93 tff(21103,plain,
% 42.30/27.93 (~v90(constB148, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21102, 21098])).
% 42.30/27.93 tff(21104,plain,
% 42.30/27.93 (~v90(constB149, bitIndex2)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20992, 21103])).
% 42.30/27.93 tff(21105,plain,
% 42.30/27.93 (v130(constB147, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20771, 1788, 21088])).
% 42.30/27.93 tff(21106,plain,
% 42.30/27.93 (v127(constB147, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20755, 21105])).
% 42.30/27.93 tff(21107,plain,
% 42.30/27.93 (v129(constB148, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20750, 21106])).
% 42.30/27.93 tff(21108,plain,
% 42.30/27.93 (v90(constB148, bitIndex1) | (~v100(constB148))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20744, 1174, 21107])).
% 42.30/27.93 tff(21109,plain,
% 42.30/27.93 (v90(constB148, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21108, 21098])).
% 42.30/27.93 tff(21110,plain,
% 42.30/27.93 (v90(constB149, bitIndex1)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20955, 21109])).
% 42.30/27.93 tff(21111,plain,
% 42.30/27.93 (~v130(constB147, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20894, 1826, 21088])).
% 42.30/27.93 tff(21112,plain,
% 42.30/27.93 (~v127(constB147, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20902, 21111])).
% 42.30/27.93 tff(21113,plain,
% 42.30/27.93 (~v129(constB148, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20907, 21112])).
% 42.30/27.93 tff(21114,plain,
% 42.30/27.93 ((~v90(constB148, bitIndex0)) | (~v100(constB148))),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20914, 952, 21113])).
% 42.30/27.93 tff(21115,plain,
% 42.30/27.93 (~v90(constB148, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[21114, 21098])).
% 42.30/27.93 tff(21116,plain,
% 42.30/27.93 (~v90(constB149, bitIndex0)),
% 42.30/27.93 inference(unit_resolution,[status(thm)],[20941, 21115])).
% 42.30/27.93 tff(21117,plain,
% 42.30/27.93 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 42.30/27.93 inference(rewrite,[status(thm)],[])).
% 42.30/27.93 tff(21118,plain,
% 42.30/27.93 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21119,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21118, 21117])).
% 42.30/27.94 tff(21120,plain,
% 42.30/27.94 (v121(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21119, 1870, 21116, 21110, 21104])).
% 42.30/27.94 tff(21121,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB149)) | v117(constB149))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21122,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21123,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB149)) | v117(constB149)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21122, 21121])).
% 42.30/27.94 tff(21124,plain,
% 42.30/27.94 (v117(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21123, 1881, 21120])).
% 42.30/27.94 tff(21125,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21126,plain,
% 42.30/27.94 (((~v117(constB149)) | v116(constB149)) <=> (v116(constB149) | (~v117(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21127,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149))))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21126])).
% 42.30/27.94 tff(21128,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21127, 21125])).
% 42.30/27.94 tff(21129,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21130,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21129, 21128])).
% 42.30/27.94 tff(21131,plain,
% 42.30/27.94 (v116(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21130, 525, 21124])).
% 42.30/27.94 tff(21132,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB149)) | v115(constB149))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21133,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21134,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB149)) | v115(constB149)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21133, 21132])).
% 42.30/27.94 tff(21135,plain,
% 42.30/27.94 (v115(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21134, 539, 21131])).
% 42.30/27.94 tff(21136,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21137,plain,
% 42.30/27.94 (((~v115(constB149)) | v114(constB149)) <=> (v114(constB149) | (~v115(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21138,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149))))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21137])).
% 42.30/27.94 tff(21139,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21138, 21136])).
% 42.30/27.94 tff(21140,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21141,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21140, 21139])).
% 42.30/27.94 tff(21142,plain,
% 42.30/27.94 (v114(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21141, 553, 21135])).
% 42.30/27.94 tff(21143,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21144,plain,
% 42.30/27.94 (((~v114(constB149)) | v113(constB149)) <=> (v113(constB149) | (~v114(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21145,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149))))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21144])).
% 42.30/27.94 tff(21146,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21145, 21143])).
% 42.30/27.94 tff(21147,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21148,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21147, 21146])).
% 42.30/27.94 tff(21149,plain,
% 42.30/27.94 (v113(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21148, 567, 21142])).
% 42.30/27.94 tff(21150,assumption,(v26(constB149)), introduced(assumption)).
% 42.30/27.94 tff(21151,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21152,plain,
% 42.30/27.94 ($false),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21151, 95, 21150])).
% 42.30/27.94 tff(21153,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.94 tff(21154,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21155,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21156,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | (~v113(constB149)) | v112(constB149)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21155, 21154])).
% 42.30/27.94 tff(21157,plain,
% 42.30/27.94 ((~v113(constB149)) | v112(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21156, 581, 21153])).
% 42.30/27.94 tff(21158,plain,
% 42.30/27.94 (v112(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21157, 21149])).
% 42.30/27.94 tff(21159,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21160,plain,
% 42.30/27.94 (((~v112(constB149)) | v108(constB149)) <=> (v108(constB149) | (~v112(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21161,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149))))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21160])).
% 42.30/27.94 tff(21162,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21161, 21159])).
% 42.30/27.94 tff(21163,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21164,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21163, 21162])).
% 42.30/27.94 tff(21165,plain,
% 42.30/27.94 (v108(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21164, 746, 21158])).
% 42.30/27.94 tff(21166,plain,
% 42.30/27.94 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21167,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 42.30/27.94 tff(21168,plain,
% 42.30/27.94 (nextState(constB149, constB150)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21167, 21166])).
% 42.30/27.94 tff(21169,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21170,plain,
% 42.30/27.94 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21171,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21170])).
% 42.30/27.94 tff(21172,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21171, 21169])).
% 42.30/27.94 tff(21173,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21174,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21173, 21172])).
% 42.30/27.94 tff(21175,plain,
% 42.30/27.94 (v110(constB150) | (~v108(constB149))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21174, 731, 21168])).
% 42.30/27.94 tff(21176,plain,
% 42.30/27.94 (v110(constB150)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21175, 21165])).
% 42.30/27.94 tff(21177,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21178,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21179,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21178, 21177])).
% 42.30/27.94 tff(21180,plain,
% 42.30/27.94 (~v104(constB150)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21179, 659, 21168, 20918])).
% 42.30/27.94 tff(21181,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21182,plain,
% 42.30/27.94 (((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)) <=> ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21183,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150)))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21182])).
% 42.30/27.94 tff(21184,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21183, 21181])).
% 42.30/27.94 tff(21185,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21186,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21185, 21184])).
% 42.30/27.94 tff(21187,plain,
% 42.30/27.94 (v104(constB150) | v102(constB150)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21186, 673, 21168])).
% 42.30/27.94 tff(21188,plain,
% 42.30/27.94 (v102(constB150)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21187, 21180])).
% 42.30/27.94 tff(21189,plain,
% 42.30/27.94 (v1(constB150) <=> v1(constB150)),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21190,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 42.30/27.94 tff(21191,plain,
% 42.30/27.94 (v1(constB150)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 42.30/27.94 tff(21192,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21193,plain,
% 42.30/27.94 (((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))) <=> ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21194,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150))))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21193])).
% 42.30/27.94 tff(21195,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21194, 21192])).
% 42.30/27.94 tff(21196,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21197,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21196, 21195])).
% 42.30/27.94 tff(21198,plain,
% 42.30/27.94 (v101(constB150) | (~v102(constB150))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21197, 694, 21168, 21191])).
% 42.30/27.94 tff(21199,plain,
% 42.30/27.94 (v101(constB150)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21198, 21188])).
% 42.30/27.94 tff(21200,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21201,plain,
% 42.30/27.94 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21202,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21201])).
% 42.30/27.94 tff(21203,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21202, 21200])).
% 42.30/27.94 tff(21204,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21205,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21204, 21203])).
% 42.30/27.94 tff(21206,plain,
% 42.30/27.94 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21205, 712, 21168])).
% 42.30/27.94 tff(21207,plain,
% 42.30/27.94 (v100(constB150) | (~v110(constB150))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21206, 21199])).
% 42.30/27.94 tff(21208,plain,
% 42.30/27.94 (v100(constB150)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21207, 21176])).
% 42.30/27.94 tff(21209,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB149)) | (~v90(constB149, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB149)) | (~v90(constB149, bitIndex1)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21210,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB149)) | (~v90(constB149, bitIndex1)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21211,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB149)) | (~v90(constB149, bitIndex1))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21210, 21209])).
% 42.30/27.94 tff(21212,plain,
% 42.30/27.94 (~v120(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21211, 1391, 21110])).
% 42.30/27.94 tff(21213,assumption,(~v123(constB149)), introduced(assumption)).
% 42.30/27.94 tff(21214,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB149)) | (~v90(constB149, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB149)) | (~v90(constB149, bitIndex1)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21215,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB149)) | (~v90(constB149, bitIndex1)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21216,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB149)) | (~v90(constB149, bitIndex1))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21215, 21214])).
% 42.30/27.94 tff(21217,plain,
% 42.30/27.94 (~v119(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21216, 1380, 21110])).
% 42.30/27.94 tff(21218,assumption,(v130(constB149, bitIndex2)), introduced(assumption)).
% 42.30/27.94 tff(21219,assumption,(~v119(constB149)), introduced(assumption)).
% 42.30/27.94 tff(21220,assumption,(~v120(constB149)), introduced(assumption)).
% 42.30/27.94 tff(21221,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB149)) | (~v130(constB149, bitIndex2)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21222,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB149)) | (~v130(constB149, bitIndex2)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21223,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB149)) | (~v130(constB149, bitIndex2))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21222, 21221])).
% 42.30/27.94 tff(21224,plain,
% 42.30/27.94 (~v124(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21223, 3868, 21218])).
% 42.30/27.94 tff(21225,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21226,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21227,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21226, 21225])).
% 42.30/27.94 tff(21228,plain,
% 42.30/27.94 (~v121(constB149)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21227, 1990, 21218])).
% 42.30/27.94 tff(21229,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex2)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21230,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex2)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21231,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex2))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21230, 21229])).
% 42.30/27.94 tff(21232,plain,
% 42.30/27.94 (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v124(constB149) | (~v130(constB149, bitIndex2))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21231, 1405, 21213])).
% 42.30/27.94 tff(21233,plain,
% 42.30/27.94 ($false),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21232, 21228, 21224, 21220, 21219, 21218, 20961])).
% 42.30/27.94 tff(21234,plain,((~v130(constB149, bitIndex2)) | v120(constB149) | v119(constB149) | v122(constB149) | v123(constB149)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.94 tff(21235,plain,
% 42.30/27.94 (~v130(constB149, bitIndex2)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21234, 21217, 20961, 21213, 21212])).
% 42.30/27.94 tff(21236,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21237,plain,
% 42.30/27.94 ((v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2))) <=> ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21238,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21237])).
% 42.30/27.94 tff(21239,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21238, 21236])).
% 42.30/27.94 tff(21240,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21241,plain,
% 42.30/27.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21240, 21239])).
% 42.30/27.94 tff(21242,plain,
% 42.30/27.94 ((~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21241, 1419, 21153])).
% 42.30/27.94 tff(21243,plain,
% 42.30/27.94 (~v127(constB149, bitIndex2)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21242, 21235])).
% 42.30/27.94 tff(21244,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21245,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21246,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 42.30/27.94 tff(21247,plain,
% 42.30/27.94 (v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21246, 1437, 21168])).
% 42.30/27.94 tff(21248,plain,
% 42.30/27.94 (~v129(constB150, bitIndex2)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21247, 21243])).
% 42.30/27.94 tff(21249,plain,
% 42.30/27.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21250,plain,
% 42.30/27.94 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21251,plain,
% 42.30/27.94 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21250, 21249])).
% 42.30/27.94 tff(21252,plain,
% 42.30/27.94 ((~v90(constB150, bitIndex2)) | (~v100(constB150))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21251, 1452, 21248])).
% 42.30/27.94 tff(21253,plain,
% 42.30/27.94 (~v90(constB150, bitIndex2)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21252, 21208])).
% 42.30/27.94 tff(21254,plain,
% 42.30/27.94 ((~v1(constB151)) <=> (~v1(constB151))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21255,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 42.30/27.94 tff(21256,plain,
% 42.30/27.94 (~v1(constB151)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21255, 21254])).
% 42.30/27.94 tff(21257,plain,
% 42.30/27.94 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21258,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 42.30/27.94 tff(21259,plain,
% 42.30/27.94 (nextState(constB150, constB151)),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21258, 21257])).
% 42.30/27.94 tff(21260,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21261,plain,
% 42.30/27.94 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21262,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21261])).
% 42.30/27.94 tff(21263,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21262, 21260])).
% 42.30/27.94 tff(21264,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21265,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21264, 21263])).
% 42.30/27.94 tff(21266,plain,
% 42.30/27.94 (~v101(constB151)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21265, 391, 21259, 21256])).
% 42.30/27.94 tff(21267,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21268,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21269,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21268, 21267])).
% 42.30/27.94 tff(21270,plain,
% 42.30/27.94 (v101(constB151) | (~v100(constB151))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21269, 408, 21259])).
% 42.30/27.94 tff(21271,plain,
% 42.30/27.94 (~v100(constB151)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21270, 21266])).
% 42.30/27.94 tff(21272,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21273,plain,
% 42.30/27.94 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 42.30/27.94 inference(rewrite,[status(thm)],[])).
% 42.30/27.94 tff(21274,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))))),
% 42.30/27.94 inference(monotonicity,[status(thm)],[21273])).
% 42.30/27.94 tff(21275,plain,
% 42.30/27.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 42.30/27.94 inference(transitivity,[status(thm)],[21274, 21272])).
% 42.30/27.94 tff(21276,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 42.30/27.94 inference(quant_inst,[status(thm)],[])).
% 42.30/27.94 tff(21277,plain,
% 42.30/27.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 42.30/27.94 inference(modus_ponens,[status(thm)],[21276, 21275])).
% 42.30/27.94 tff(21278,plain,
% 42.30/27.94 (v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21277, 423, 21259])).
% 42.30/27.94 tff(21279,plain,
% 42.30/27.94 (v90(constB150, bitIndex2) | (~v90(constB151, bitIndex2))),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21278, 21271])).
% 42.30/27.94 tff(21280,plain,
% 42.30/27.94 (~v90(constB151, bitIndex2)),
% 42.30/27.94 inference(unit_resolution,[status(thm)],[21279, 21253])).
% 42.30/27.94 tff(21281,plain,
% 42.30/27.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21282,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21283,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21282, 21281])).
% 42.30/27.95 tff(21284,plain,
% 42.30/27.95 (v130(constB149, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21283, 2088, 21120])).
% 42.30/27.95 tff(21285,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21286,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21287,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21286, 21285])).
% 42.30/27.95 tff(21288,plain,
% 42.30/27.95 ((~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21287, 1552, 21153])).
% 42.30/27.95 tff(21289,plain,
% 42.30/27.95 (v127(constB149, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21288, 21284])).
% 42.30/27.95 tff(21290,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21291,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21292,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21291, 21290])).
% 42.30/27.95 tff(21293,plain,
% 42.30/27.95 ((~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21292, 1567, 21168])).
% 42.30/27.95 tff(21294,plain,
% 42.30/27.95 (v129(constB150, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21293, 21289])).
% 42.30/27.95 tff(21295,plain,
% 42.30/27.95 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21296,plain,
% 42.30/27.95 ((v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21297,plain,
% 42.30/27.95 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))))),
% 42.30/27.95 inference(monotonicity,[status(thm)],[21296])).
% 42.30/27.95 tff(21298,plain,
% 42.30/27.95 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 42.30/27.95 inference(transitivity,[status(thm)],[21297, 21295])).
% 42.30/27.95 tff(21299,plain,
% 42.30/27.95 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21300,plain,
% 42.30/27.95 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21299, 21298])).
% 42.30/27.95 tff(21301,plain,
% 42.30/27.95 (v90(constB150, bitIndex0) | (~v100(constB150))),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21300, 1582, 21294])).
% 42.30/27.95 tff(21302,plain,
% 42.30/27.95 (v90(constB150, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21301, 21208])).
% 42.30/27.95 tff(21303,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21304,plain,
% 42.30/27.95 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21305,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)))),
% 42.30/27.95 inference(monotonicity,[status(thm)],[21304])).
% 42.30/27.95 tff(21306,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 42.30/27.95 inference(transitivity,[status(thm)],[21305, 21303])).
% 42.30/27.95 tff(21307,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21308,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21307, 21306])).
% 42.30/27.95 tff(21309,plain,
% 42.30/27.95 ((~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21308, 1600, 21259])).
% 42.30/27.95 tff(21310,plain,
% 42.30/27.95 ((~v90(constB150, bitIndex0)) | v90(constB151, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21309, 21271])).
% 42.30/27.95 tff(21311,plain,
% 42.30/27.95 (v90(constB151, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21310, 21302])).
% 42.30/27.95 tff(21312,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21313,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21314,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 42.30/27.95 tff(21315,plain,
% 42.30/27.95 (v130(constB149, bitIndex1)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21314, 2050, 21120])).
% 42.30/27.95 tff(21316,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21317,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21318,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21317, 21316])).
% 42.30/27.95 tff(21319,plain,
% 42.30/27.95 ((~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21318, 1144, 21153])).
% 42.30/27.95 tff(21320,plain,
% 42.30/27.95 (v127(constB149, bitIndex1)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21319, 21315])).
% 42.30/27.95 tff(21321,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21322,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21323,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21322, 21321])).
% 42.30/27.95 tff(21324,plain,
% 42.30/27.95 ((~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21323, 1159, 21168])).
% 42.30/27.95 tff(21325,plain,
% 42.30/27.95 (v129(constB150, bitIndex1)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21324, 21320])).
% 42.30/27.95 tff(21326,plain,
% 42.30/27.95 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21327,plain,
% 42.30/27.95 ((v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21328,plain,
% 42.30/27.95 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))))),
% 42.30/27.95 inference(monotonicity,[status(thm)],[21327])).
% 42.30/27.95 tff(21329,plain,
% 42.30/27.95 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 42.30/27.95 inference(transitivity,[status(thm)],[21328, 21326])).
% 42.30/27.95 tff(21330,plain,
% 42.30/27.95 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21331,plain,
% 42.30/27.95 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21330, 21329])).
% 42.30/27.95 tff(21332,plain,
% 42.30/27.95 (v90(constB150, bitIndex1) | (~v100(constB150))),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21331, 1174, 21325])).
% 42.30/27.95 tff(21333,plain,
% 42.30/27.95 (v90(constB150, bitIndex1)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21332, 21208])).
% 42.30/27.95 tff(21334,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21335,plain,
% 42.30/27.95 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21336,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)))),
% 42.30/27.95 inference(monotonicity,[status(thm)],[21335])).
% 42.30/27.95 tff(21337,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 42.30/27.95 inference(transitivity,[status(thm)],[21336, 21334])).
% 42.30/27.95 tff(21338,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21339,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21338, 21337])).
% 42.30/27.95 tff(21340,plain,
% 42.30/27.95 ((~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21339, 1192, 21259])).
% 42.30/27.95 tff(21341,plain,
% 42.30/27.95 ((~v90(constB150, bitIndex1)) | v90(constB151, bitIndex1)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21340, 21271])).
% 42.30/27.95 tff(21342,plain,
% 42.30/27.95 (v90(constB151, bitIndex1)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21341, 21333])).
% 42.30/27.95 tff(21343,assumption,(~v122(constB151)), introduced(assumption)).
% 42.30/27.95 tff(21344,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21345,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21346,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21345, 21344])).
% 42.30/27.95 tff(21347,plain,
% 42.30/27.95 ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21346, 2129, 21343])).
% 42.30/27.95 tff(21348,plain,
% 42.30/27.95 ($false),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21347, 21342, 21311, 21280])).
% 42.30/27.95 tff(21349,plain,((~v120(constB147)) | v122(constB151) | v122(constB149) | v123(constB149)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.95 tff(21350,plain,
% 42.30/27.95 (v122(constB151)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21349, 21087, 20961, 20960])).
% 42.30/27.95 tff(21351,assumption,(v122(constB151)), introduced(assumption)).
% 42.30/27.95 tff(21352,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB151)) | v116(constB151))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21353,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21354,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB151)) | v116(constB151)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21353, 21352])).
% 42.30/27.95 tff(21355,plain,
% 42.30/27.95 (v116(constB151)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21354, 2140, 21351])).
% 42.30/27.95 tff(21356,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21357,plain,
% 42.30/27.95 (((~v116(constB151)) | v115(constB151)) <=> (v115(constB151) | (~v116(constB151)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21358,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151))))),
% 42.30/27.95 inference(monotonicity,[status(thm)],[21357])).
% 42.30/27.95 tff(21359,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 42.30/27.95 inference(transitivity,[status(thm)],[21358, 21356])).
% 42.30/27.95 tff(21360,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21361,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151))),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21360, 21359])).
% 42.30/27.95 tff(21362,plain,
% 42.30/27.95 (v115(constB151)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21361, 539, 21355])).
% 42.30/27.95 tff(21363,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21364,plain,
% 42.30/27.95 (((~v115(constB151)) | v114(constB151)) <=> (v114(constB151) | (~v115(constB151)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21365,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151))))),
% 42.30/27.95 inference(monotonicity,[status(thm)],[21364])).
% 42.30/27.95 tff(21366,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 42.30/27.95 inference(transitivity,[status(thm)],[21365, 21363])).
% 42.30/27.95 tff(21367,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21368,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151))),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21367, 21366])).
% 42.30/27.95 tff(21369,plain,
% 42.30/27.95 (v114(constB151)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21368, 553, 21362])).
% 42.30/27.95 tff(21370,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21371,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21372,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0))),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21371, 21370])).
% 42.30/27.95 tff(21373,plain,
% 42.30/27.95 (~v130(constB151, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21372, 2327, 21351])).
% 42.30/27.95 tff(21374,assumption,(v127(constB151, bitIndex0)), introduced(assumption)).
% 42.30/27.95 tff(21375,assumption,(~v130(constB151, bitIndex0)), introduced(assumption)).
% 42.30/27.95 tff(21376,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21377,plain,
% 42.30/27.95 ((v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0))) <=> ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21378,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)))),
% 42.30/27.95 inference(monotonicity,[status(thm)],[21377])).
% 42.30/27.95 tff(21379,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 42.30/27.95 inference(transitivity,[status(thm)],[21378, 21376])).
% 42.30/27.95 tff(21380,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21381,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21380, 21379])).
% 42.30/27.95 tff(21382,plain,
% 42.30/27.95 ((~v127(constB151, bitIndex0)) | v26(constB151)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21381, 907, 21375])).
% 42.30/27.95 tff(21383,plain,
% 42.30/27.95 (v26(constB151)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21382, 21374])).
% 42.30/27.95 tff(21384,plain,
% 42.30/27.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB151)) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB151)) | (~v127(constB151, bitIndex0)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21385,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB151)) | (~v127(constB151, bitIndex0)))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21386,plain,
% 42.30/27.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB151)) | (~v127(constB151, bitIndex0))),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21385, 21384])).
% 42.30/27.95 tff(21387,plain,
% 42.30/27.95 ($false),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21386, 922, 21374, 21383])).
% 42.30/27.95 tff(21388,plain,((~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.95 tff(21389,plain,
% 42.30/27.95 (~v127(constB151, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21388, 21373])).
% 42.30/27.95 tff(21390,plain,
% 42.30/27.95 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21391,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 42.30/27.95 tff(21392,plain,
% 42.30/27.95 (nextState(constB151, constB152)),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21391, 21390])).
% 42.30/27.95 tff(21393,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21394,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21395,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21394, 21393])).
% 42.30/27.95 tff(21396,plain,
% 42.30/27.95 (v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21395, 937, 21392])).
% 42.30/27.95 tff(21397,plain,
% 42.30/27.95 (~v129(constB152, bitIndex0)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21396, 21389])).
% 42.30/27.95 tff(21398,assumption,(v90(constB152, bitIndex0)), introduced(assumption)).
% 42.30/27.95 tff(21399,plain,
% 42.30/27.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21400,plain,
% 42.30/27.95 (((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21401,plain,
% 42.30/27.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))))),
% 42.30/27.95 inference(monotonicity,[status(thm)],[21400])).
% 42.30/27.95 tff(21402,plain,
% 42.30/27.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 42.30/27.95 inference(transitivity,[status(thm)],[21401, 21399])).
% 42.30/27.95 tff(21403,plain,
% 42.30/27.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21404,plain,
% 42.30/27.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21403, 21402])).
% 42.30/27.95 tff(21405,plain,
% 42.30/27.95 (v129(constB152, bitIndex0) | (~v100(constB152))),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21404, 952, 21398])).
% 42.30/27.95 tff(21406,plain,
% 42.30/27.95 (~v100(constB152)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21405, 21397])).
% 42.30/27.95 tff(21407,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.95 tff(21408,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 42.30/27.95 inference(quant_inst,[status(thm)],[])).
% 42.30/27.95 tff(21409,plain,
% 42.30/27.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 42.30/27.95 inference(modus_ponens,[status(thm)],[21408, 21407])).
% 42.30/27.95 tff(21410,plain,
% 42.30/27.95 (~v104(constB152)),
% 42.30/27.95 inference(unit_resolution,[status(thm)],[21409, 659, 21392, 21256])).
% 42.30/27.95 tff(21411,plain,
% 42.30/27.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 42.30/27.95 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21412,plain,
% 42.30/27.96 (((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)) <=> ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21413,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152)))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21412])).
% 42.30/27.96 tff(21414,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21413, 21411])).
% 42.30/27.96 tff(21415,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21416,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21415, 21414])).
% 42.30/27.96 tff(21417,plain,
% 42.30/27.96 (v104(constB152) | v102(constB152)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21416, 673, 21392])).
% 42.30/27.96 tff(21418,plain,
% 42.30/27.96 (v102(constB152)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21417, 21410])).
% 42.30/27.96 tff(21419,plain,
% 42.30/27.96 (v1(constB152) <=> v1(constB152)),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21420,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 42.30/27.96 tff(21421,plain,
% 42.30/27.96 (v1(constB152)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21420, 21419])).
% 42.30/27.96 tff(21422,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21423,plain,
% 42.30/27.96 (((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))) <=> ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21424,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152))))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21423])).
% 42.30/27.96 tff(21425,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21424, 21422])).
% 42.30/27.96 tff(21426,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21427,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152))),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21426, 21425])).
% 42.30/27.96 tff(21428,plain,
% 42.30/27.96 (v101(constB152) | (~v102(constB152))),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21427, 694, 21392, 21421])).
% 42.30/27.96 tff(21429,plain,
% 42.30/27.96 (v101(constB152)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21428, 21418])).
% 42.30/27.96 tff(21430,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21431,plain,
% 42.30/27.96 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21432,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21431])).
% 42.30/27.96 tff(21433,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21432, 21430])).
% 42.30/27.96 tff(21434,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21435,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21434, 21433])).
% 42.30/27.96 tff(21436,plain,
% 42.30/27.96 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21435, 712, 21392])).
% 42.30/27.96 tff(21437,plain,
% 42.30/27.96 (v100(constB152) | (~v110(constB152))),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21436, 21429])).
% 42.30/27.96 tff(21438,plain,
% 42.30/27.96 (~v110(constB152)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21437, 21406])).
% 42.30/27.96 tff(21439,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21440,plain,
% 42.30/27.96 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21441,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21440])).
% 42.30/27.96 tff(21442,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21441, 21439])).
% 42.30/27.96 tff(21443,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21444,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21443, 21442])).
% 42.30/27.96 tff(21445,plain,
% 42.30/27.96 (v110(constB152) | (~v108(constB151))),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21444, 731, 21392])).
% 42.30/27.96 tff(21446,plain,
% 42.30/27.96 (~v108(constB151)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21445, 21438])).
% 42.30/27.96 tff(21447,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21448,plain,
% 42.30/27.96 (((~v112(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v112(constB151)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21449,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151))))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21448])).
% 42.30/27.96 tff(21450,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21449, 21447])).
% 42.30/27.96 tff(21451,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21452,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151))),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21451, 21450])).
% 42.30/27.96 tff(21453,plain,
% 42.30/27.96 (~v112(constB151)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21452, 746, 21446])).
% 42.30/27.96 tff(21454,assumption,(v26(constB151)), introduced(assumption)).
% 42.30/27.96 tff(21455,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21456,plain,
% 42.30/27.96 ($false),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21455, 95, 21454])).
% 42.30/27.96 tff(21457,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.96 tff(21458,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21459,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21460,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21459, 21458])).
% 42.30/27.96 tff(21461,plain,
% 42.30/27.96 ((~v113(constB151)) | v112(constB151)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21460, 581, 21457])).
% 42.30/27.96 tff(21462,plain,
% 42.30/27.96 (~v113(constB151)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21461, 21453])).
% 42.30/27.96 tff(21463,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21464,plain,
% 42.30/27.96 (((~v114(constB151)) | v113(constB151)) <=> (v113(constB151) | (~v114(constB151)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21465,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151))))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21464])).
% 42.30/27.96 tff(21466,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21465, 21463])).
% 42.30/27.96 tff(21467,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21468,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151))),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21467, 21466])).
% 42.30/27.96 tff(21469,plain,
% 42.30/27.96 ($false),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21468, 567, 21462, 21369])).
% 42.30/27.96 tff(21470,plain,((~v122(constB151)) | (~v90(constB152, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.30/27.96 tff(21471,plain,
% 42.30/27.96 (~v90(constB152, bitIndex0)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21470, 21350])).
% 42.30/27.96 tff(21472,plain,
% 42.30/27.96 ((~v1(constB153)) <=> (~v1(constB153))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21473,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 42.30/27.96 tff(21474,plain,
% 42.30/27.96 (~v1(constB153)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21473, 21472])).
% 42.30/27.96 tff(21475,plain,
% 42.30/27.96 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21476,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 42.30/27.96 tff(21477,plain,
% 42.30/27.96 (nextState(constB152, constB153)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21476, 21475])).
% 42.30/27.96 tff(21478,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21479,plain,
% 42.30/27.96 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21480,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21479])).
% 42.30/27.96 tff(21481,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21480, 21478])).
% 42.30/27.96 tff(21482,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21483,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21482, 21481])).
% 42.30/27.96 tff(21484,plain,
% 42.30/27.96 (~v101(constB153)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21483, 391, 21477, 21474])).
% 42.30/27.96 tff(21485,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21486,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21487,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21486, 21485])).
% 42.30/27.96 tff(21488,plain,
% 42.30/27.96 (v101(constB153) | (~v100(constB153))),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21487, 408, 21477])).
% 42.30/27.96 tff(21489,plain,
% 42.30/27.96 (~v100(constB153)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21488, 21484])).
% 42.30/27.96 tff(21490,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21491,plain,
% 42.30/27.96 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21492,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21491])).
% 42.30/27.96 tff(21493,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21492, 21490])).
% 42.30/27.96 tff(21494,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21495,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21494, 21493])).
% 42.30/27.96 tff(21496,plain,
% 42.30/27.96 (v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21495, 465, 21477])).
% 42.30/27.96 tff(21497,plain,
% 42.30/27.96 (v90(constB152, bitIndex0) | (~v90(constB153, bitIndex0))),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21496, 21489])).
% 42.30/27.96 tff(21498,plain,
% 42.30/27.96 (~v90(constB153, bitIndex0)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21497, 21471])).
% 42.30/27.96 tff(21499,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB153)) | v90(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB153)) | v90(constB153, bitIndex0))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21500,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB153)) | v90(constB153, bitIndex0))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21501,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB153)) | v90(constB153, bitIndex0)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21500, 21499])).
% 42.30/27.96 tff(21502,plain,
% 42.30/27.96 (~v120(constB153)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21501, 10958, 21498])).
% 42.30/27.96 tff(21503,assumption,(~v123(constB153)), introduced(assumption)).
% 42.30/27.96 tff(21504,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB153)) | v90(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB153)) | v90(constB153, bitIndex0))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21505,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB153)) | v90(constB153, bitIndex0))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21506,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB153)) | v90(constB153, bitIndex0)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21505, 21504])).
% 42.30/27.96 tff(21507,plain,
% 42.30/27.96 (~v124(constB153)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21506, 10973, 21498])).
% 42.30/27.96 tff(21508,assumption,(~v90(constB153, bitIndex1)), introduced(assumption)).
% 42.30/27.96 tff(21509,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex1))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21510,plain,
% 42.30/27.96 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex1)) | v100(constB153) | v90(constB153, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex1))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21511,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex1)) | v100(constB153) | v90(constB153, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex1)))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21510])).
% 42.30/27.96 tff(21512,plain,
% 42.30/27.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex1)) | v100(constB153) | v90(constB153, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex1))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21511, 21509])).
% 42.30/27.96 tff(21513,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex1)) | v100(constB153) | v90(constB153, bitIndex1))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21514,plain,
% 42.30/27.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex1)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21513, 21512])).
% 42.30/27.96 tff(21515,plain,
% 42.30/27.96 ((~v90(constB152, bitIndex1)) | v100(constB153) | v90(constB153, bitIndex1)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21514, 1192, 21477])).
% 42.30/27.96 tff(21516,plain,
% 42.30/27.96 ((~v90(constB152, bitIndex1)) | v90(constB153, bitIndex1)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21515, 21489])).
% 42.30/27.96 tff(21517,plain,
% 42.30/27.96 (~v90(constB152, bitIndex1)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21516, 21508])).
% 42.30/27.96 tff(21518,assumption,(~v120(constB153)), introduced(assumption)).
% 42.30/27.96 tff(21519,assumption,(~v124(constB153)), introduced(assumption)).
% 42.30/27.96 tff(21520,assumption,(~v119(constB153)), introduced(assumption)).
% 42.30/27.96 tff(21521,assumption,(~v90(constB153, bitIndex2)), introduced(assumption)).
% 42.30/27.96 tff(21522,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v119(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v119(constB153))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21523,plain,
% 42.30/27.96 ((v90(constB153, bitIndex0) | v119(constB153) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2)) <=> (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v119(constB153))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21524,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB153, bitIndex0) | v119(constB153) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v119(constB153)))),
% 42.30/27.96 inference(monotonicity,[status(thm)],[21523])).
% 42.30/27.96 tff(21525,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB153, bitIndex0) | v119(constB153) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v119(constB153))),
% 42.30/27.96 inference(transitivity,[status(thm)],[21524, 21522])).
% 42.30/27.96 tff(21526,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB153, bitIndex0) | v119(constB153) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21527,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v119(constB153)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21526, 21525])).
% 42.30/27.96 tff(21528,plain,
% 42.30/27.96 (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21527, 486, 21520])).
% 42.30/27.96 tff(21529,plain,
% 42.30/27.96 (v90(constB153, bitIndex0)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21528, 21521, 21508])).
% 42.30/27.96 tff(21530,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21531,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153))),
% 42.30/27.96 inference(quant_inst,[status(thm)],[])).
% 42.30/27.96 tff(21532,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2) | v120(constB153)),
% 42.30/27.96 inference(modus_ponens,[status(thm)],[21531, 21530])).
% 42.30/27.96 tff(21533,plain,
% 42.30/27.96 ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex2)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21532, 1619, 21518])).
% 42.30/27.96 tff(21534,plain,
% 42.30/27.96 ($false),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21533, 21529, 21521, 21508])).
% 42.30/27.96 tff(21535,plain,(v90(constB153, bitIndex2) | v90(constB153, bitIndex1) | v120(constB153) | v119(constB153)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.96 tff(21536,plain,
% 42.30/27.96 (v90(constB153, bitIndex2)),
% 42.30/27.96 inference(unit_resolution,[status(thm)],[21535, 21508, 21518, 21520])).
% 42.30/27.96 tff(21537,plain,
% 42.30/27.96 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 42.30/27.96 inference(rewrite,[status(thm)],[])).
% 42.30/27.96 tff(21538,plain,
% 42.30/27.96 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21539,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21538, 21537])).
% 42.30/27.97 tff(21540,plain,
% 42.30/27.97 (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21539, 979, 21503])).
% 42.30/27.97 tff(21541,plain,
% 42.30/27.97 (v90(constB153, bitIndex0)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21540, 21536, 21508])).
% 42.30/27.97 tff(21542,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v124(constB153))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v124(constB153))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21543,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v124(constB153))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21544,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v124(constB153)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21543, 21542])).
% 42.30/27.97 tff(21545,plain,
% 42.30/27.97 ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21544, 15368, 21519])).
% 42.30/27.97 tff(21546,plain,
% 42.30/27.97 ($false),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21545, 21541, 21536, 21508])).
% 42.30/27.97 tff(21547,plain,(v90(constB153, bitIndex1) | v124(constB153) | v123(constB153) | v120(constB153) | v119(constB153)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.97 tff(21548,plain,
% 42.30/27.97 (v119(constB153)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21547, 21508, 21503, 21519, 21518])).
% 42.30/27.97 tff(21549,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB153)) | (~v90(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB153)) | (~v90(constB153, bitIndex2)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21550,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB153)) | (~v90(constB153, bitIndex2)))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21551,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB153)) | (~v90(constB153, bitIndex2))),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21550, 21549])).
% 42.30/27.97 tff(21552,plain,
% 42.30/27.97 (~v90(constB153, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21551, 7590, 21548])).
% 42.30/27.97 tff(21553,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21554,plain,
% 42.30/27.97 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21555,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21554])).
% 42.30/27.97 tff(21556,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21555, 21553])).
% 42.30/27.97 tff(21557,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21558,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21557, 21556])).
% 42.30/27.97 tff(21559,plain,
% 42.30/27.97 ((~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21558, 783, 21477])).
% 42.30/27.97 tff(21560,plain,
% 42.30/27.97 ((~v90(constB152, bitIndex2)) | v90(constB153, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21559, 21489])).
% 42.30/27.97 tff(21561,plain,
% 42.30/27.97 (~v90(constB152, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21560, 21552])).
% 42.30/27.97 tff(21562,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB153)) | (~v90(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB153)) | (~v90(constB153, bitIndex0)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21563,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB153)) | (~v90(constB153, bitIndex0)))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21564,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB153)) | (~v90(constB153, bitIndex0))),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21563, 21562])).
% 42.30/27.97 tff(21565,plain,
% 42.30/27.97 (~v90(constB153, bitIndex0)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21564, 11028, 21548])).
% 42.30/27.97 tff(21566,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex0))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21567,plain,
% 42.30/27.97 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex0)) | v100(constB153) | v90(constB153, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex0))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21568,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex0)) | v100(constB153) | v90(constB153, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex0)))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21567])).
% 42.30/27.97 tff(21569,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex0)) | v100(constB153) | v90(constB153, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex0))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21568, 21566])).
% 42.30/27.97 tff(21570,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex0)) | v100(constB153) | v90(constB153, bitIndex0))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21571,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex0)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21570, 21569])).
% 42.30/27.97 tff(21572,plain,
% 42.30/27.97 ((~v90(constB152, bitIndex0)) | v100(constB153) | v90(constB153, bitIndex0)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21571, 1600, 21477])).
% 42.30/27.97 tff(21573,plain,
% 42.30/27.97 ((~v90(constB152, bitIndex0)) | v90(constB153, bitIndex0)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21572, 21489])).
% 42.30/27.97 tff(21574,plain,
% 42.30/27.97 (~v90(constB152, bitIndex0)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21573, 21565])).
% 42.30/27.97 tff(21575,assumption,(~v90(constB152, bitIndex0)), introduced(assumption)).
% 42.30/27.97 tff(21576,assumption,(~v26(constB151)), introduced(assumption)).
% 42.30/27.97 tff(21577,assumption,(~v90(constB152, bitIndex1)), introduced(assumption)).
% 42.30/27.97 tff(21578,assumption,(~v90(constB152, bitIndex2)), introduced(assumption)).
% 42.30/27.97 tff(21579,assumption,(~v100(constB152)), introduced(assumption)).
% 42.30/27.97 tff(21580,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB151, bitIndex2)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB151, bitIndex2)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex2))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21581,plain,
% 42.30/27.97 (((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex2)) | v100(constB152) | v90(constB152, bitIndex2)) <=> ((~v90(constB151, bitIndex2)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex2))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21582,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex2)) | v100(constB152) | v90(constB152, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB151, bitIndex2)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex2)))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21581])).
% 42.30/27.97 tff(21583,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex2)) | v100(constB152) | v90(constB152, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB151, bitIndex2)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex2))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21582, 21580])).
% 42.30/27.97 tff(21584,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex2)) | v100(constB152) | v90(constB152, bitIndex2))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21585,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB151, bitIndex2)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex2)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21584, 21583])).
% 42.30/27.97 tff(21586,plain,
% 42.30/27.97 ((~v90(constB151, bitIndex2)) | v100(constB152) | v90(constB152, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21585, 783, 21392])).
% 42.30/27.97 tff(21587,plain,
% 42.30/27.97 (~v90(constB151, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21586, 21579, 21578])).
% 42.30/27.97 tff(21588,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB151, bitIndex1)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB151, bitIndex1)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex1))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21589,plain,
% 42.30/27.97 (((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex1)) | v100(constB152) | v90(constB152, bitIndex1)) <=> ((~v90(constB151, bitIndex1)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex1))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21590,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex1)) | v100(constB152) | v90(constB152, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB151, bitIndex1)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex1)))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21589])).
% 42.30/27.97 tff(21591,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex1)) | v100(constB152) | v90(constB152, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB151, bitIndex1)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex1))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21590, 21588])).
% 42.30/27.97 tff(21592,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex1)) | v100(constB152) | v90(constB152, bitIndex1))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21593,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB151, bitIndex1)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex1)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21592, 21591])).
% 42.30/27.97 tff(21594,plain,
% 42.30/27.97 ((~v90(constB151, bitIndex1)) | v100(constB152) | v90(constB152, bitIndex1)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21593, 1192, 21392])).
% 42.30/27.97 tff(21595,plain,
% 42.30/27.97 (~v90(constB151, bitIndex1)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21594, 21579, 21577])).
% 42.30/27.97 tff(21596,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21597,plain,
% 42.30/27.97 (((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0)) <=> ((~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21598,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0)))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21597])).
% 42.30/27.97 tff(21599,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21598, 21596])).
% 42.30/27.97 tff(21600,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21601,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21600, 21599])).
% 42.30/27.97 tff(21602,plain,
% 42.30/27.97 ((~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21601, 1600, 21392])).
% 42.30/27.97 tff(21603,plain,
% 42.30/27.97 (~v90(constB151, bitIndex0)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21602, 21579, 21575])).
% 42.30/27.97 tff(21604,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2) | v119(constB151))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2) | v119(constB151))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21605,plain,
% 42.30/27.97 ((v90(constB151, bitIndex0) | v119(constB151) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2)) <=> (v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2) | v119(constB151))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21606,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB151, bitIndex0) | v119(constB151) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2) | v119(constB151)))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21605])).
% 42.30/27.97 tff(21607,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB151, bitIndex0) | v119(constB151) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2) | v119(constB151))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21606, 21604])).
% 42.30/27.97 tff(21608,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB151, bitIndex0) | v119(constB151) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21609,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | v90(constB151, bitIndex2) | v119(constB151)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21608, 21607])).
% 42.30/27.97 tff(21610,plain,
% 42.30/27.97 (v119(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21609, 486, 21603, 21595, 21587])).
% 42.30/27.97 tff(21611,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB151)) | v118(constB151))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB151)) | v118(constB151))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21612,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB151)) | v118(constB151))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21613,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB151)) | v118(constB151)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21612, 21611])).
% 42.30/27.97 tff(21614,plain,
% 42.30/27.97 (v118(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21613, 500, 21610])).
% 42.30/27.97 tff(21615,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB151) | (~v118(constB151)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB151) | (~v118(constB151)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21616,plain,
% 42.30/27.97 (((~v118(constB151)) | v117(constB151)) <=> (v117(constB151) | (~v118(constB151)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21617,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB151)) | v117(constB151))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB151) | (~v118(constB151))))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21616])).
% 42.30/27.97 tff(21618,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB151)) | v117(constB151))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB151) | (~v118(constB151)))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21617, 21615])).
% 42.30/27.97 tff(21619,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB151)) | v117(constB151))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21620,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB151) | (~v118(constB151))),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21619, 21618])).
% 42.30/27.97 tff(21621,plain,
% 42.30/27.97 (v117(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21620, 511, 21614])).
% 42.30/27.97 tff(21622,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB151) | (~v117(constB151)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v117(constB151)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21623,plain,
% 42.30/27.97 (((~v117(constB151)) | v116(constB151)) <=> (v116(constB151) | (~v117(constB151)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21624,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB151) | (~v117(constB151))))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21623])).
% 42.30/27.97 tff(21625,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v117(constB151)))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21624, 21622])).
% 42.30/27.97 tff(21626,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB151)) | v116(constB151))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21627,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v117(constB151))),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21626, 21625])).
% 42.30/27.97 tff(21628,plain,
% 42.30/27.97 (v116(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21627, 525, 21621])).
% 42.30/27.97 tff(21629,plain,
% 42.30/27.97 (~v110(constB152)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21437, 21579])).
% 42.30/27.97 tff(21630,plain,
% 42.30/27.97 (~v108(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21445, 21629])).
% 42.30/27.97 tff(21631,plain,
% 42.30/27.97 (~v112(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21452, 746, 21630])).
% 42.30/27.97 tff(21632,plain,
% 42.30/27.97 ((~v113(constB151)) | v112(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21460, 581, 21576])).
% 42.30/27.97 tff(21633,plain,
% 42.30/27.97 (~v113(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21632, 21631])).
% 42.30/27.97 tff(21634,plain,
% 42.30/27.97 (~v114(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21468, 567, 21633])).
% 42.30/27.97 tff(21635,plain,
% 42.30/27.97 (~v115(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21368, 553, 21634])).
% 42.30/27.97 tff(21636,plain,
% 42.30/27.97 ($false),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21361, 539, 21635, 21628])).
% 42.30/27.97 tff(21637,plain,(v100(constB152) | v26(constB151) | v90(constB152, bitIndex1) | v90(constB152, bitIndex2) | v90(constB152, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.97 tff(21638,plain,
% 42.30/27.97 (v100(constB152)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21637, 21578, 21577, 21576, 21575])).
% 42.30/27.97 tff(21639,plain,
% 42.30/27.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21640,plain,
% 42.30/27.97 ((v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21641,plain,
% 42.30/27.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21640])).
% 42.30/27.97 tff(21642,plain,
% 42.30/27.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21641, 21639])).
% 42.30/27.97 tff(21643,plain,
% 42.30/27.97 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21644,plain,
% 42.30/27.97 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21643, 21642])).
% 42.30/27.97 tff(21645,plain,
% 42.30/27.97 ((~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21644, 641, 21578])).
% 42.30/27.97 tff(21646,plain,
% 42.30/27.97 (~v129(constB152, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21645, 21638])).
% 42.30/27.97 tff(21647,plain,
% 42.30/27.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21648,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21649,plain,
% 42.30/27.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21648, 21647])).
% 42.30/27.97 tff(21650,plain,
% 42.30/27.97 ((~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21649, 625, 21392])).
% 42.30/27.97 tff(21651,plain,
% 42.30/27.97 (~v127(constB151, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21650, 21646])).
% 42.30/27.97 tff(21652,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21653,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21654,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21653, 21652])).
% 42.30/27.97 tff(21655,plain,
% 42.30/27.97 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21654, 607, 21576])).
% 42.30/27.97 tff(21656,plain,
% 42.30/27.97 (~v130(constB151, bitIndex2)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21655, 21651])).
% 42.30/27.97 tff(21657,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21658,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21659,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21658, 21657])).
% 42.30/27.97 tff(21660,plain,
% 42.30/27.97 (~v122(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21659, 2224, 21656])).
% 42.30/27.97 tff(21661,plain,
% 42.30/27.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB151)) | v130(constB151, bitIndex2))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21662,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB151)) | v130(constB151, bitIndex2))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21663,plain,
% 42.30/27.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB151)) | v130(constB151, bitIndex2)),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21662, 21661])).
% 42.30/27.97 tff(21664,plain,
% 42.30/27.97 (~v119(constB151)),
% 42.30/27.97 inference(unit_resolution,[status(thm)],[21663, 593, 21656])).
% 42.30/27.97 tff(21665,plain,
% 42.30/27.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~v129(constB152, bitIndex1)) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~v129(constB152, bitIndex1)) | (~v100(constB152)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21666,plain,
% 42.30/27.97 ((v90(constB152, bitIndex1) | (~v100(constB152)) | (~v129(constB152, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~v129(constB152, bitIndex1)) | (~v100(constB152)))),
% 42.30/27.97 inference(rewrite,[status(thm)],[])).
% 42.30/27.97 tff(21667,plain,
% 42.30/27.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~v100(constB152)) | (~v129(constB152, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~v129(constB152, bitIndex1)) | (~v100(constB152))))),
% 42.30/27.97 inference(monotonicity,[status(thm)],[21666])).
% 42.30/27.97 tff(21668,plain,
% 42.30/27.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~v100(constB152)) | (~v129(constB152, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~v129(constB152, bitIndex1)) | (~v100(constB152)))),
% 42.30/27.97 inference(transitivity,[status(thm)],[21667, 21665])).
% 42.30/27.97 tff(21669,plain,
% 42.30/27.97 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~v100(constB152)) | (~v129(constB152, bitIndex1)))),
% 42.30/27.97 inference(quant_inst,[status(thm)],[])).
% 42.30/27.97 tff(21670,plain,
% 42.30/27.97 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~v129(constB152, bitIndex1)) | (~v100(constB152))),
% 42.30/27.97 inference(modus_ponens,[status(thm)],[21669, 21668])).
% 42.30/27.97 tff(21671,plain,
% 42.30/27.97 ((~v129(constB152, bitIndex1)) | (~v100(constB152))),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21670, 1174, 21577])).
% 42.30/27.98 tff(21672,plain,
% 42.30/27.98 (~v129(constB152, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21671, 21638])).
% 42.30/27.98 tff(21673,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex1)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex1)) | v129(constB152, bitIndex1))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21674,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex1)) | v129(constB152, bitIndex1))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21675,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex1)) | v129(constB152, bitIndex1)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21674, 21673])).
% 42.30/27.98 tff(21676,plain,
% 42.30/27.98 ((~v127(constB151, bitIndex1)) | v129(constB152, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21675, 1159, 21392])).
% 42.30/27.98 tff(21677,plain,
% 42.30/27.98 (~v127(constB151, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21676, 21672])).
% 42.30/27.98 tff(21678,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB151) | (~v130(constB151, bitIndex1)) | v127(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB151) | (~v130(constB151, bitIndex1)) | v127(constB151, bitIndex1))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21679,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB151) | (~v130(constB151, bitIndex1)) | v127(constB151, bitIndex1))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21680,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB151) | (~v130(constB151, bitIndex1)) | v127(constB151, bitIndex1)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21679, 21678])).
% 42.30/27.98 tff(21681,plain,
% 42.30/27.98 ((~v130(constB151, bitIndex1)) | v127(constB151, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21680, 1144, 21576])).
% 42.30/27.98 tff(21682,plain,
% 42.30/27.98 (~v130(constB151, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21681, 21677])).
% 42.30/27.98 tff(21683,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB151)) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB151)) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21684,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB151)) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21685,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB151)) | v130(constB151, bitIndex1)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21684, 21683])).
% 42.30/27.98 tff(21686,plain,
% 42.30/27.98 (~v121(constB151)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21685, 2050, 21682])).
% 42.30/27.98 tff(21687,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB151)) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB151)) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21688,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB151)) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21689,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB151)) | v130(constB151, bitIndex1)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 42.30/27.98 tff(21690,plain,
% 42.30/27.98 (~v124(constB151)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21689, 7641, 21682])).
% 42.30/27.98 tff(21691,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB151)) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB151)) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21692,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB151)) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21693,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB151)) | v130(constB151, bitIndex1)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 42.30/27.98 tff(21694,plain,
% 42.30/27.98 (~v120(constB151)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21693, 1788, 21682])).
% 42.30/27.98 tff(21695,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB151)) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB151)) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21696,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB151)) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21697,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB151)) | v130(constB151, bitIndex1)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21696, 21695])).
% 42.30/27.98 tff(21698,plain,
% 42.30/27.98 (~v123(constB151)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21697, 1130, 21682])).
% 42.30/27.98 tff(21699,plain,
% 42.30/27.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~v129(constB152, bitIndex0)) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~v129(constB152, bitIndex0)) | (~v100(constB152)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21700,plain,
% 42.30/27.98 ((v90(constB152, bitIndex0) | (~v100(constB152)) | (~v129(constB152, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~v129(constB152, bitIndex0)) | (~v100(constB152)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21701,plain,
% 42.30/27.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~v100(constB152)) | (~v129(constB152, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~v129(constB152, bitIndex0)) | (~v100(constB152))))),
% 42.30/27.98 inference(monotonicity,[status(thm)],[21700])).
% 42.30/27.98 tff(21702,plain,
% 42.30/27.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~v100(constB152)) | (~v129(constB152, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~v129(constB152, bitIndex0)) | (~v100(constB152)))),
% 42.30/27.98 inference(transitivity,[status(thm)],[21701, 21699])).
% 42.30/27.98 tff(21703,plain,
% 42.30/27.98 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~v100(constB152)) | (~v129(constB152, bitIndex0)))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21704,plain,
% 42.30/27.98 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~v129(constB152, bitIndex0)) | (~v100(constB152))),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21703, 21702])).
% 42.30/27.98 tff(21705,plain,
% 42.30/27.98 ((~v129(constB152, bitIndex0)) | (~v100(constB152))),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21704, 1582, 21575])).
% 42.30/27.98 tff(21706,plain,
% 42.30/27.98 (~v129(constB152, bitIndex0)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21705, 21638])).
% 42.30/27.98 tff(21707,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex0)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex0)) | v129(constB152, bitIndex0))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21708,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex0)) | v129(constB152, bitIndex0))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21709,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex0)) | v129(constB152, bitIndex0)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21708, 21707])).
% 42.30/27.98 tff(21710,plain,
% 42.30/27.98 ((~v127(constB151, bitIndex0)) | v129(constB152, bitIndex0)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21709, 1567, 21392])).
% 42.30/27.98 tff(21711,plain,
% 42.30/27.98 (~v127(constB151, bitIndex0)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21710, 21706])).
% 42.30/27.98 tff(21712,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB151) | (~v130(constB151, bitIndex0)) | v127(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB151) | (~v130(constB151, bitIndex0)) | v127(constB151, bitIndex0))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21713,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB151) | (~v130(constB151, bitIndex0)) | v127(constB151, bitIndex0))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21714,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB151) | (~v130(constB151, bitIndex0)) | v127(constB151, bitIndex0)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21713, 21712])).
% 42.30/27.98 tff(21715,plain,
% 42.30/27.98 ((~v130(constB151, bitIndex0)) | v127(constB151, bitIndex0)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21714, 1552, 21576])).
% 42.30/27.98 tff(21716,plain,
% 42.30/27.98 (~v130(constB151, bitIndex0)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21715, 21711])).
% 42.30/27.98 tff(21717,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | v130(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | v130(constB151, bitIndex0))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21718,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | v130(constB151, bitIndex0))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21719,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | v130(constB151, bitIndex0)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21718, 21717])).
% 42.30/27.98 tff(21720,plain,
% 42.30/27.98 (v119(constB151) | v122(constB151)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21719, 1538, 21716, 21698, 21694, 21690, 21686])).
% 42.30/27.98 tff(21721,plain,
% 42.30/27.98 ($false),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21720, 21664, 21660])).
% 42.30/27.98 tff(21722,plain,(v90(constB152, bitIndex2) | v26(constB151) | v90(constB152, bitIndex0) | v90(constB152, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.98 tff(21723,plain,
% 42.30/27.98 (v90(constB152, bitIndex2) | v90(constB152, bitIndex0) | v90(constB152, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21722, 21457])).
% 42.30/27.98 tff(21724,plain,
% 42.30/27.98 ($false),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21723, 21574, 21561, 21517])).
% 42.30/27.98 tff(21725,plain,(v90(constB153, bitIndex1) | v123(constB153) | v124(constB153) | v120(constB153)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.98 tff(21726,plain,
% 42.30/27.98 (v90(constB153, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21725, 21507, 21503, 21502])).
% 42.30/27.98 tff(21727,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21728,plain,
% 42.30/27.98 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21729,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))))),
% 42.30/27.98 inference(monotonicity,[status(thm)],[21728])).
% 42.30/27.98 tff(21730,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 42.30/27.98 inference(transitivity,[status(thm)],[21729, 21727])).
% 42.30/27.98 tff(21731,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21732,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21731, 21730])).
% 42.30/27.98 tff(21733,plain,
% 42.30/27.98 (v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21732, 444, 21477])).
% 42.30/27.98 tff(21734,plain,
% 42.30/27.98 (v90(constB152, bitIndex1) | (~v90(constB153, bitIndex1))),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21733, 21489])).
% 42.30/27.98 tff(21735,plain,
% 42.30/27.98 (v90(constB152, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21734, 21726])).
% 42.30/27.98 tff(21736,assumption,(v90(constB152, bitIndex2)), introduced(assumption)).
% 42.30/27.98 tff(21737,assumption,(v100(constB148)), introduced(assumption)).
% 42.30/27.98 tff(21738,plain,
% 42.30/27.98 ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[20890, 1452, 21737])).
% 42.30/27.98 tff(21739,plain,
% 42.30/27.98 (~v90(constB148, bitIndex2)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21738, 21101])).
% 42.30/27.98 tff(21740,plain,
% 42.30/27.98 (~v90(constB149, bitIndex2)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[20992, 21739])).
% 42.30/27.98 tff(21741,plain,
% 42.30/27.98 (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1))),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[20744, 1174, 21737])).
% 42.30/27.98 tff(21742,plain,
% 42.30/27.98 (v90(constB148, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21741, 21107])).
% 42.30/27.98 tff(21743,plain,
% 42.30/27.98 (v90(constB149, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[20955, 21742])).
% 42.30/27.98 tff(21744,plain,
% 42.30/27.98 ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[20914, 952, 21737])).
% 42.30/27.98 tff(21745,plain,
% 42.30/27.98 (~v90(constB148, bitIndex0)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21744, 21113])).
% 42.30/27.98 tff(21746,plain,
% 42.30/27.98 (~v90(constB149, bitIndex0)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[20941, 21745])).
% 42.30/27.98 tff(21747,plain,
% 42.30/27.98 (v121(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21119, 1870, 21746, 21743, 21740])).
% 42.30/27.98 tff(21748,plain,
% 42.30/27.98 (v117(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21123, 1881, 21747])).
% 42.30/27.98 tff(21749,plain,
% 42.30/27.98 (v116(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21130, 525, 21748])).
% 42.30/27.98 tff(21750,plain,
% 42.30/27.98 (v115(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21134, 539, 21749])).
% 42.30/27.98 tff(21751,plain,
% 42.30/27.98 (v114(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21141, 553, 21750])).
% 42.30/27.98 tff(21752,plain,
% 42.30/27.98 (v113(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21148, 567, 21751])).
% 42.30/27.98 tff(21753,plain,
% 42.30/27.98 (v112(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21157, 21752])).
% 42.30/27.98 tff(21754,plain,
% 42.30/27.98 (v108(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21164, 746, 21753])).
% 42.30/27.98 tff(21755,plain,
% 42.30/27.98 (v110(constB150)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21175, 21754])).
% 42.30/27.98 tff(21756,plain,
% 42.30/27.98 (v100(constB150)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21207, 21755])).
% 42.30/27.98 tff(21757,plain,
% 42.30/27.98 (~v120(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21211, 1391, 21743])).
% 42.30/27.98 tff(21758,plain,
% 42.30/27.98 (~v119(constB149)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21216, 1380, 21743])).
% 42.30/27.98 tff(21759,plain,
% 42.30/27.98 (~v130(constB149, bitIndex2)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21234, 21758, 20961, 21213, 21757])).
% 42.30/27.98 tff(21760,plain,
% 42.30/27.98 (~v127(constB149, bitIndex2)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21242, 21759])).
% 42.30/27.98 tff(21761,plain,
% 42.30/27.98 (~v129(constB150, bitIndex2)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21247, 21760])).
% 42.30/27.98 tff(21762,plain,
% 42.30/27.98 ((~v90(constB150, bitIndex2)) | (~v100(constB150))),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21251, 1452, 21761])).
% 42.30/27.98 tff(21763,plain,
% 42.30/27.98 (~v90(constB150, bitIndex2)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21762, 21756])).
% 42.30/27.98 tff(21764,plain,
% 42.30/27.98 (~v90(constB151, bitIndex2)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21279, 21763])).
% 42.30/27.98 tff(21765,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21766,plain,
% 42.30/27.98 (((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2))) <=> (v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21767,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2))))),
% 42.30/27.98 inference(monotonicity,[status(thm)],[21766])).
% 42.30/27.98 tff(21768,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 42.30/27.98 inference(transitivity,[status(thm)],[21767, 21765])).
% 42.30/27.98 tff(21769,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2)))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21770,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB151, bitIndex2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex2))),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21769, 21768])).
% 42.30/27.98 tff(21771,plain,
% 42.30/27.98 (v90(constB151, bitIndex2) | v100(constB152) | (~v90(constB152, bitIndex2))),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21770, 423, 21392])).
% 42.30/27.98 tff(21772,plain,
% 42.30/27.98 (v100(constB152)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21771, 21764, 21736])).
% 42.30/27.98 tff(21773,assumption,(v90(constB152, bitIndex1)), introduced(assumption)).
% 42.30/27.98 tff(21774,plain,
% 42.30/27.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21775,plain,
% 42.30/27.98 (((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21776,plain,
% 42.30/27.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))))),
% 42.30/27.98 inference(monotonicity,[status(thm)],[21775])).
% 42.30/27.98 tff(21777,plain,
% 42.30/27.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 42.30/27.98 inference(transitivity,[status(thm)],[21776, 21774])).
% 42.30/27.98 tff(21778,plain,
% 42.30/27.98 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21779,plain,
% 42.30/27.98 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21778, 21777])).
% 42.30/27.98 tff(21780,plain,
% 42.30/27.98 (v129(constB152, bitIndex1) | (~v100(constB152))),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21779, 868, 21773])).
% 42.30/27.98 tff(21781,plain,
% 42.30/27.98 (v129(constB152, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21780, 21772])).
% 42.30/27.98 tff(21782,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21783,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21784,plain,
% 42.30/27.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21783, 21782])).
% 42.30/27.98 tff(21785,plain,
% 42.30/27.98 (v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21784, 853, 21392])).
% 42.30/27.98 tff(21786,plain,
% 42.30/27.98 (v127(constB151, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21785, 21781])).
% 42.30/27.98 tff(21787,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21788,plain,
% 42.30/27.98 ((v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1))) <=> ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21789,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)))),
% 42.30/27.98 inference(monotonicity,[status(thm)],[21788])).
% 42.30/27.98 tff(21790,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 42.30/27.98 inference(transitivity,[status(thm)],[21789, 21787])).
% 42.30/27.98 tff(21791,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21792,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21791, 21790])).
% 42.30/27.98 tff(21793,plain,
% 42.30/27.98 ((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21792, 823, 21457])).
% 42.30/27.98 tff(21794,plain,
% 42.30/27.98 (v130(constB151, bitIndex1)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21793, 21786])).
% 42.30/27.98 tff(21795,plain,
% 42.30/27.98 (v122(constB151)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21349, 21088, 20961, 21213])).
% 42.30/27.98 tff(21796,plain,
% 42.30/27.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21797,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 42.30/27.98 inference(quant_inst,[status(thm)],[])).
% 42.30/27.98 tff(21798,plain,
% 42.30/27.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1))),
% 42.30/27.98 inference(modus_ponens,[status(thm)],[21797, 21796])).
% 42.30/27.98 tff(21799,plain,
% 42.30/27.98 ($false),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21798, 2281, 21795, 21794])).
% 42.30/27.98 tff(21800,plain,((~v120(constB147)) | (~v90(constB152, bitIndex1)) | (~v90(constB152, bitIndex2)) | v122(constB149) | v123(constB149) | (~v100(constB148))), inference(lemma,lemma(discharge,[]))).
% 42.30/27.98 tff(21801,plain,
% 42.30/27.98 (~v90(constB152, bitIndex2)),
% 42.30/27.98 inference(unit_resolution,[status(thm)],[21800, 21735, 20961, 21087, 20960, 21043])).
% 42.30/27.98 tff(21802,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21803,plain,
% 42.30/27.98 (((~nextState(constB151, constB152)) | v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1))) <=> (v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1)))),
% 42.30/27.98 inference(rewrite,[status(thm)],[])).
% 42.30/27.98 tff(21804,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1))))),
% 42.30/27.98 inference(monotonicity,[status(thm)],[21803])).
% 42.30/27.98 tff(21805,plain,
% 42.30/27.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1)))),
% 42.30/27.99 inference(transitivity,[status(thm)],[21804, 21802])).
% 42.30/27.99 tff(21806,plain,
% 42.30/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1)))),
% 42.30/27.99 inference(quant_inst,[status(thm)],[])).
% 42.30/27.99 tff(21807,plain,
% 42.30/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB151, bitIndex1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex1))),
% 42.30/27.99 inference(modus_ponens,[status(thm)],[21806, 21805])).
% 42.30/27.99 tff(21808,plain,
% 42.30/27.99 (v90(constB151, bitIndex1) | v100(constB152) | (~v90(constB152, bitIndex1))),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21807, 444, 21392])).
% 42.30/27.99 tff(21809,plain,
% 42.30/27.99 (v90(constB151, bitIndex1)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21808, 21579, 21773])).
% 42.30/27.99 tff(21810,plain,
% 42.30/27.99 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB151, bitIndex0) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v121(constB151))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB151, bitIndex0) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v121(constB151))),
% 42.30/27.99 inference(rewrite,[status(thm)],[])).
% 42.30/27.99 tff(21811,plain,
% 42.30/27.99 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB151, bitIndex0) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v121(constB151))),
% 42.30/27.99 inference(quant_inst,[status(thm)],[])).
% 42.30/27.99 tff(21812,plain,
% 42.30/27.99 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB151, bitIndex0) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v121(constB151)),
% 42.30/27.99 inference(modus_ponens,[status(thm)],[21811, 21810])).
% 42.30/27.99 tff(21813,plain,
% 42.30/27.99 (v121(constB151)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21812, 1870, 21603, 21809, 21587])).
% 42.30/27.99 tff(21814,plain,
% 42.30/27.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB151)) | v117(constB151))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB151)) | v117(constB151))),
% 42.30/27.99 inference(rewrite,[status(thm)],[])).
% 42.30/27.99 tff(21815,plain,
% 42.30/27.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB151)) | v117(constB151))),
% 42.30/27.99 inference(quant_inst,[status(thm)],[])).
% 42.30/27.99 tff(21816,plain,
% 42.30/27.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB151)) | v117(constB151)),
% 42.30/27.99 inference(modus_ponens,[status(thm)],[21815, 21814])).
% 42.30/27.99 tff(21817,plain,
% 42.30/27.99 (v117(constB151)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21816, 1881, 21813])).
% 42.30/27.99 tff(21818,plain,
% 42.30/27.99 (v116(constB151)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21627, 525, 21817])).
% 42.30/27.99 tff(21819,plain,
% 42.30/27.99 (~v113(constB151)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21461, 21631])).
% 42.30/27.99 tff(21820,plain,
% 42.30/27.99 (~v114(constB151)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21468, 567, 21819])).
% 42.30/27.99 tff(21821,plain,
% 42.30/27.99 (~v115(constB151)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21368, 553, 21820])).
% 42.30/27.99 tff(21822,plain,
% 42.30/27.99 ($false),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21361, 539, 21821, 21818])).
% 42.30/27.99 tff(21823,plain,(v100(constB152) | (~v90(constB152, bitIndex1)) | v90(constB152, bitIndex2) | v90(constB152, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.99 tff(21824,plain,
% 42.30/27.99 (v100(constB152)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21823, 21801, 21735, 21471])).
% 42.30/27.99 tff(21825,plain,
% 42.30/27.99 (v129(constB152, bitIndex1)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21779, 868, 21824, 21735])).
% 42.30/27.99 tff(21826,plain,
% 42.30/27.99 (v127(constB151, bitIndex1)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21785, 21825])).
% 42.30/27.99 tff(21827,plain,
% 42.30/27.99 (v130(constB151, bitIndex1)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21793, 21826])).
% 42.30/27.99 tff(21828,plain,
% 42.30/27.99 ($false),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21798, 2281, 21350, 21827])).
% 42.30/27.99 tff(21829,plain,(v90(constB148, bitIndex2) | v122(constB149) | v123(constB153) | v90(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.99 tff(21830,plain,
% 42.30/27.99 (v123(constB153)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21829, 20946, 20915, 20891])).
% 42.30/27.99 tff(21831,plain,
% 42.30/27.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2))),
% 42.30/27.99 inference(rewrite,[status(thm)],[])).
% 42.30/27.99 tff(21832,plain,
% 42.30/27.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))),
% 42.30/27.99 inference(quant_inst,[status(thm)],[])).
% 42.30/27.99 tff(21833,plain,
% 42.30/27.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2)),
% 42.30/27.99 inference(modus_ponens,[status(thm)],[21832, 21831])).
% 42.30/27.99 tff(21834,plain,
% 42.30/27.99 (v130(constB153, bitIndex2)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21833, 1074, 21830])).
% 42.30/27.99 tff(21835,assumption,(v26(constB153)), introduced(assumption)).
% 42.30/27.99 tff(21836,plain,
% 42.30/27.99 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 42.30/27.99 inference(quant_inst,[status(thm)],[])).
% 42.30/27.99 tff(21837,plain,
% 42.30/27.99 ($false),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21836, 95, 21835])).
% 42.30/27.99 tff(21838,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 42.30/27.99 tff(21839,plain,
% 42.30/27.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 42.30/27.99 inference(rewrite,[status(thm)],[])).
% 42.30/27.99 tff(21840,plain,
% 42.30/27.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 42.30/27.99 inference(quant_inst,[status(thm)],[])).
% 42.30/27.99 tff(21841,plain,
% 42.30/27.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 42.30/27.99 inference(modus_ponens,[status(thm)],[21840, 21839])).
% 42.30/27.99 tff(21842,plain,
% 42.30/27.99 ((~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21841, 607, 21838])).
% 42.30/27.99 tff(21843,plain,
% 42.30/27.99 (v127(constB153, bitIndex2)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21842, 21834])).
% 42.30/27.99 tff(21844,plain,
% 42.30/27.99 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 42.30/27.99 inference(rewrite,[status(thm)],[])).
% 42.30/27.99 tff(21845,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 42.30/27.99 tff(21846,plain,
% 42.30/27.99 (nextState(constB153, constB154)),
% 42.30/27.99 inference(modus_ponens,[status(thm)],[21845, 21844])).
% 42.30/27.99 tff(21847,plain,
% 42.30/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 42.30/27.99 inference(rewrite,[status(thm)],[])).
% 42.30/27.99 tff(21848,plain,
% 42.30/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 42.30/27.99 inference(quant_inst,[status(thm)],[])).
% 42.30/27.99 tff(21849,plain,
% 42.30/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 42.30/27.99 inference(modus_ponens,[status(thm)],[21848, 21847])).
% 42.30/27.99 tff(21850,plain,
% 42.30/27.99 ((~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21849, 625, 21846])).
% 42.30/27.99 tff(21851,plain,
% 42.30/27.99 (v129(constB154, bitIndex2)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21850, 21843])).
% 42.30/27.99 tff(21852,assumption,(~v100(constB154)), introduced(assumption)).
% 42.30/27.99 tff(21853,plain,
% 42.30/27.99 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 42.30/27.99 inference(rewrite,[status(thm)],[])).
% 42.30/27.99 tff(21854,plain,
% 42.30/27.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 42.30/27.99 inference(quant_inst,[status(thm)],[])).
% 42.30/27.99 tff(21855,plain,
% 42.30/27.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 42.30/27.99 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 42.30/27.99 tff(21856,plain,
% 42.30/27.99 (~v104(constB154)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21855, 659, 21846, 21474])).
% 42.30/27.99 tff(21857,plain,
% 42.30/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 42.30/27.99 inference(rewrite,[status(thm)],[])).
% 42.30/27.99 tff(21858,plain,
% 42.30/27.99 (((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)) <=> ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 42.30/27.99 inference(rewrite,[status(thm)],[])).
% 42.30/27.99 tff(21859,plain,
% 42.30/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154)))),
% 42.30/27.99 inference(monotonicity,[status(thm)],[21858])).
% 42.30/27.99 tff(21860,plain,
% 42.30/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 42.30/27.99 inference(transitivity,[status(thm)],[21859, 21857])).
% 42.30/27.99 tff(21861,plain,
% 42.30/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 42.30/27.99 inference(quant_inst,[status(thm)],[])).
% 42.30/27.99 tff(21862,plain,
% 42.30/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154)),
% 42.30/27.99 inference(modus_ponens,[status(thm)],[21861, 21860])).
% 42.30/27.99 tff(21863,plain,
% 42.30/27.99 (v104(constB154) | v102(constB154)),
% 42.30/27.99 inference(unit_resolution,[status(thm)],[21862, 673, 21846])).
% 42.39/27.99 tff(21864,plain,
% 42.39/27.99 (v102(constB154)),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21863, 21856])).
% 42.39/27.99 tff(21865,plain,
% 42.39/27.99 (v1(constB154) <=> v1(constB154)),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21866,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 42.39/27.99 tff(21867,plain,
% 42.39/27.99 (v1(constB154)),
% 42.39/27.99 inference(modus_ponens,[status(thm)],[21866, 21865])).
% 42.39/27.99 tff(21868,plain,
% 42.39/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21869,plain,
% 42.39/27.99 (((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))) <=> ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21870,plain,
% 42.39/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154))))),
% 42.39/27.99 inference(monotonicity,[status(thm)],[21869])).
% 42.39/27.99 tff(21871,plain,
% 42.39/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 42.39/27.99 inference(transitivity,[status(thm)],[21870, 21868])).
% 42.39/27.99 tff(21872,plain,
% 42.39/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 42.39/27.99 inference(quant_inst,[status(thm)],[])).
% 42.39/27.99 tff(21873,plain,
% 42.39/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154))),
% 42.39/27.99 inference(modus_ponens,[status(thm)],[21872, 21871])).
% 42.39/27.99 tff(21874,plain,
% 42.39/27.99 (v101(constB154) | (~v102(constB154))),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21873, 694, 21846, 21867])).
% 42.39/27.99 tff(21875,plain,
% 42.39/27.99 (v101(constB154)),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21874, 21864])).
% 42.39/27.99 tff(21876,plain,
% 42.39/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21877,plain,
% 42.39/27.99 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21878,plain,
% 42.39/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 42.39/27.99 inference(monotonicity,[status(thm)],[21877])).
% 42.39/27.99 tff(21879,plain,
% 42.39/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 42.39/27.99 inference(transitivity,[status(thm)],[21878, 21876])).
% 42.39/27.99 tff(21880,plain,
% 42.39/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 42.39/27.99 inference(quant_inst,[status(thm)],[])).
% 42.39/27.99 tff(21881,plain,
% 42.39/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 42.39/27.99 inference(modus_ponens,[status(thm)],[21880, 21879])).
% 42.39/27.99 tff(21882,plain,
% 42.39/27.99 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21881, 712, 21846])).
% 42.39/27.99 tff(21883,plain,
% 42.39/27.99 (v100(constB154) | (~v110(constB154))),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21882, 21875])).
% 42.39/27.99 tff(21884,plain,
% 42.39/27.99 (~v110(constB154)),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21883, 21852])).
% 42.39/27.99 tff(21885,plain,
% 42.39/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21886,plain,
% 42.39/27.99 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21887,plain,
% 42.39/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 42.39/27.99 inference(monotonicity,[status(thm)],[21886])).
% 42.39/27.99 tff(21888,plain,
% 42.39/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 42.39/27.99 inference(transitivity,[status(thm)],[21887, 21885])).
% 42.39/27.99 tff(21889,plain,
% 42.39/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 42.39/27.99 inference(quant_inst,[status(thm)],[])).
% 42.39/27.99 tff(21890,plain,
% 42.39/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 42.39/27.99 inference(modus_ponens,[status(thm)],[21889, 21888])).
% 42.39/27.99 tff(21891,plain,
% 42.39/27.99 (v110(constB154) | (~v108(constB153))),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21890, 731, 21846])).
% 42.39/27.99 tff(21892,plain,
% 42.39/27.99 (~v108(constB153)),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21891, 21884])).
% 42.39/27.99 tff(21893,plain,
% 42.39/27.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21894,plain,
% 42.39/27.99 (((~v112(constB153)) | v108(constB153)) <=> (v108(constB153) | (~v112(constB153)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21895,plain,
% 42.39/27.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153))))),
% 42.39/27.99 inference(monotonicity,[status(thm)],[21894])).
% 42.39/27.99 tff(21896,plain,
% 42.39/27.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 42.39/27.99 inference(transitivity,[status(thm)],[21895, 21893])).
% 42.39/27.99 tff(21897,plain,
% 42.39/27.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))),
% 42.39/27.99 inference(quant_inst,[status(thm)],[])).
% 42.39/27.99 tff(21898,plain,
% 42.39/27.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153))),
% 42.39/27.99 inference(modus_ponens,[status(thm)],[21897, 21896])).
% 42.39/27.99 tff(21899,plain,
% 42.39/27.99 (~v112(constB153)),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21898, 746, 21892])).
% 42.39/27.99 tff(21900,plain,
% 42.39/27.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21901,plain,
% 42.39/27.99 ((v26(constB153) | (~v113(constB153)) | v112(constB153)) <=> (v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21902,plain,
% 42.39/27.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153))))),
% 42.39/27.99 inference(monotonicity,[status(thm)],[21901])).
% 42.39/27.99 tff(21903,plain,
% 42.39/27.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 42.39/27.99 inference(transitivity,[status(thm)],[21902, 21900])).
% 42.39/27.99 tff(21904,plain,
% 42.39/27.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 42.39/27.99 inference(quant_inst,[status(thm)],[])).
% 42.39/27.99 tff(21905,plain,
% 42.39/27.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153))),
% 42.39/27.99 inference(modus_ponens,[status(thm)],[21904, 21903])).
% 42.39/27.99 tff(21906,plain,
% 42.39/27.99 (v112(constB153) | (~v113(constB153))),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21905, 581, 21838])).
% 42.39/27.99 tff(21907,plain,
% 42.39/27.99 (~v113(constB153)),
% 42.39/27.99 inference(unit_resolution,[status(thm)],[21906, 21899])).
% 42.39/27.99 tff(21908,plain,
% 42.39/27.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB153) | (~v114(constB153)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v114(constB153)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.39/27.99 tff(21909,plain,
% 42.39/27.99 (((~v114(constB153)) | v113(constB153)) <=> (v113(constB153) | (~v114(constB153)))),
% 42.39/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21910,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB153) | (~v114(constB153))))),
% 42.40/27.99 inference(monotonicity,[status(thm)],[21909])).
% 42.40/27.99 tff(21911,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v114(constB153)))),
% 42.40/27.99 inference(transitivity,[status(thm)],[21910, 21908])).
% 42.40/27.99 tff(21912,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21913,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v114(constB153))),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21912, 21911])).
% 42.40/27.99 tff(21914,plain,
% 42.40/27.99 (~v114(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21913, 567, 21907])).
% 42.40/27.99 tff(21915,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21916,plain,
% 42.40/27.99 (((~v115(constB153)) | v114(constB153)) <=> (v114(constB153) | (~v115(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21917,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153))))),
% 42.40/27.99 inference(monotonicity,[status(thm)],[21916])).
% 42.40/27.99 tff(21918,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 42.40/27.99 inference(transitivity,[status(thm)],[21917, 21915])).
% 42.40/27.99 tff(21919,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21920,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153))),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21919, 21918])).
% 42.40/27.99 tff(21921,plain,
% 42.40/27.99 (~v115(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21920, 553, 21914])).
% 42.40/27.99 tff(21922,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v116(constB153)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v116(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21923,plain,
% 42.40/27.99 (((~v116(constB153)) | v115(constB153)) <=> (v115(constB153) | (~v116(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21924,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v116(constB153))))),
% 42.40/27.99 inference(monotonicity,[status(thm)],[21923])).
% 42.40/27.99 tff(21925,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v116(constB153)))),
% 42.40/27.99 inference(transitivity,[status(thm)],[21924, 21922])).
% 42.40/27.99 tff(21926,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB153)) | v115(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21927,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v116(constB153))),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21926, 21925])).
% 42.40/27.99 tff(21928,plain,
% 42.40/27.99 (~v116(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21927, 539, 21921])).
% 42.40/27.99 tff(21929,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB153)) | v116(constB153))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB153)) | v116(constB153))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21930,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB153)) | v116(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21931,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB153)) | v116(constB153)),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21930, 21929])).
% 42.40/27.99 tff(21932,plain,
% 42.40/27.99 (~v122(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21931, 2140, 21928])).
% 42.40/27.99 tff(21933,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB153) | (~v125(constB153)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v125(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21934,plain,
% 42.40/27.99 (((~v125(constB153)) | v113(constB153)) <=> (v113(constB153) | (~v125(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21935,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB153) | (~v125(constB153))))),
% 42.40/27.99 inference(monotonicity,[status(thm)],[21934])).
% 42.40/27.99 tff(21936,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v125(constB153)))),
% 42.40/27.99 inference(transitivity,[status(thm)],[21935, 21933])).
% 42.40/27.99 tff(21937,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB153)) | v113(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21938,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v125(constB153))),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 42.40/27.99 tff(21939,plain,
% 42.40/27.99 (~v125(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21938, 1263, 21907])).
% 42.40/27.99 tff(21940,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB153)) | v114(constB153))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21941,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB153)) | v114(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21942,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB153)) | v114(constB153)),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21941, 21940])).
% 42.40/27.99 tff(21943,plain,
% 42.40/27.99 (~v124(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21942, 15276, 21914])).
% 42.40/27.99 tff(21944,assumption,(~v90(constB154, bitIndex1)), introduced(assumption)).
% 42.40/27.99 tff(21945,plain,
% 42.40/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21946,plain,
% 42.40/27.99 (((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1)) <=> ((~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21947,plain,
% 42.40/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1)))),
% 42.40/27.99 inference(monotonicity,[status(thm)],[21946])).
% 42.40/27.99 tff(21948,plain,
% 42.40/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1))),
% 42.40/27.99 inference(transitivity,[status(thm)],[21947, 21945])).
% 42.40/27.99 tff(21949,plain,
% 42.40/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21950,plain,
% 42.40/27.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB153, bitIndex1)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex1)),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21949, 21948])).
% 42.40/27.99 tff(21951,plain,
% 42.40/27.99 ((~v90(constB153, bitIndex1)) | v100(constB154) | v90(constB154, bitIndex1)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21950, 1192, 21846])).
% 42.40/27.99 tff(21952,plain,
% 42.40/27.99 (~v90(constB153, bitIndex1)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21951, 21852, 21944])).
% 42.40/27.99 tff(21953,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21954,plain,
% 42.40/27.99 (((~v123(constB153)) | v115(constB153)) <=> (v115(constB153) | (~v123(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21955,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v123(constB153))))),
% 42.40/27.99 inference(monotonicity,[status(thm)],[21954])).
% 42.40/27.99 tff(21956,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153)))),
% 42.40/27.99 inference(transitivity,[status(thm)],[21955, 21953])).
% 42.40/27.99 tff(21957,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21958,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153))),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21957, 21956])).
% 42.40/27.99 tff(21959,plain,
% 42.40/27.99 (~v123(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21958, 990, 21921])).
% 42.40/27.99 tff(21960,plain,
% 42.40/27.99 (v120(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21725, 21959, 21952, 21943])).
% 42.40/27.99 tff(21961,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB153) | (~v120(constB153)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB153) | (~v120(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21962,plain,
% 42.40/27.99 (((~v120(constB153)) | v118(constB153)) <=> (v118(constB153) | (~v120(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21963,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB153)) | v118(constB153))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB153) | (~v120(constB153))))),
% 42.40/27.99 inference(monotonicity,[status(thm)],[21962])).
% 42.40/27.99 tff(21964,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB153)) | v118(constB153))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB153) | (~v120(constB153)))),
% 42.40/27.99 inference(transitivity,[status(thm)],[21963, 21961])).
% 42.40/27.99 tff(21965,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB153)) | v118(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21966,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB153) | (~v120(constB153))),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21965, 21964])).
% 42.40/27.99 tff(21967,plain,
% 42.40/27.99 (v118(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21966, 1630, 21960])).
% 42.40/27.99 tff(21968,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB153)) | v116(constB153))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB153)) | v116(constB153))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21969,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB153)) | v116(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21970,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB153)) | v116(constB153)),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21969, 21968])).
% 42.40/27.99 tff(21971,plain,
% 42.40/27.99 (~v117(constB153)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21970, 525, 21928])).
% 42.40/27.99 tff(21972,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB153) | (~v118(constB153)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB153) | (~v118(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21973,plain,
% 42.40/27.99 (((~v118(constB153)) | v117(constB153)) <=> (v117(constB153) | (~v118(constB153)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21974,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB153)) | v117(constB153))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB153) | (~v118(constB153))))),
% 42.40/27.99 inference(monotonicity,[status(thm)],[21973])).
% 42.40/27.99 tff(21975,plain,
% 42.40/27.99 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB153)) | v117(constB153))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB153) | (~v118(constB153)))),
% 42.40/27.99 inference(transitivity,[status(thm)],[21974, 21972])).
% 42.40/27.99 tff(21976,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB153)) | v117(constB153))),
% 42.40/27.99 inference(quant_inst,[status(thm)],[])).
% 42.40/27.99 tff(21977,plain,
% 42.40/27.99 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB153) | (~v118(constB153))),
% 42.40/27.99 inference(modus_ponens,[status(thm)],[21976, 21975])).
% 42.40/27.99 tff(21978,plain,
% 42.40/27.99 ($false),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21977, 511, 21971, 21967])).
% 42.40/27.99 tff(21979,plain,(v100(constB154) | v90(constB154, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.40/27.99 tff(21980,plain,
% 42.40/27.99 (v90(constB154, bitIndex1)),
% 42.40/27.99 inference(unit_resolution,[status(thm)],[21979, 21852])).
% 42.40/27.99 tff(21981,plain,
% 42.40/27.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1)))),
% 42.40/27.99 inference(rewrite,[status(thm)],[])).
% 42.40/27.99 tff(21982,plain,
% 42.40/27.99 (((~nextState(constB153, constB154)) | v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1))) <=> (v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1)))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(21983,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1))))),
% 42.40/28.00 inference(monotonicity,[status(thm)],[21982])).
% 42.40/28.00 tff(21984,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1)))),
% 42.40/28.00 inference(transitivity,[status(thm)],[21983, 21981])).
% 42.40/28.00 tff(21985,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1)))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(21986,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB153, bitIndex1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex1))),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[21985, 21984])).
% 42.40/28.00 tff(21987,plain,
% 42.40/28.00 (v90(constB153, bitIndex1) | v100(constB154) | (~v90(constB154, bitIndex1))),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21986, 444, 21846])).
% 42.40/28.00 tff(21988,plain,
% 42.40/28.00 (v90(constB153, bitIndex1)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21987, 21980, 21852])).
% 42.40/28.00 tff(21989,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB153)) | v117(constB153))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB153)) | v117(constB153))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(21990,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB153)) | v117(constB153))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(21991,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB153)) | v117(constB153)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[21990, 21989])).
% 42.40/28.00 tff(21992,plain,
% 42.40/28.00 (~v121(constB153)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21991, 1881, 21971])).
% 42.40/28.00 tff(21993,assumption,(v90(constB153, bitIndex1)), introduced(assumption)).
% 42.40/28.00 tff(21994,assumption,(~v90(constB153, bitIndex0)), introduced(assumption)).
% 42.40/28.00 tff(21995,assumption,(~v125(constB153)), introduced(assumption)).
% 42.40/28.00 tff(21996,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2)) | v125(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2)) | v125(constB153))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(21997,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2)) | v125(constB153))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(21998,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2)) | v125(constB153)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[21997, 21996])).
% 42.40/28.00 tff(21999,plain,
% 42.40/28.00 (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | (~v90(constB153, bitIndex2))),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21998, 1252, 21995])).
% 42.40/28.00 tff(22000,plain,
% 42.40/28.00 (~v90(constB153, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21999, 21994, 21993])).
% 42.40/28.00 tff(22001,assumption,(~v121(constB153)), introduced(assumption)).
% 42.40/28.00 tff(22002,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v121(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v121(constB153))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22003,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v121(constB153))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22004,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v121(constB153)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22003, 22002])).
% 42.40/28.00 tff(22005,plain,
% 42.40/28.00 (v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22004, 1870, 22001])).
% 42.40/28.00 tff(22006,plain,
% 42.40/28.00 ($false),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22005, 22000, 21994, 21993])).
% 42.40/28.00 tff(22007,plain,(v90(constB153, bitIndex0) | (~v90(constB153, bitIndex1)) | v121(constB153) | v125(constB153)), inference(lemma,lemma(discharge,[]))).
% 42.40/28.00 tff(22008,plain,
% 42.40/28.00 (v90(constB153, bitIndex0)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22007, 21992, 21988, 21939])).
% 42.40/28.00 tff(22009,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v122(constB153))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v122(constB153))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22010,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v122(constB153))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22011,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2) | v122(constB153)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22010, 22009])).
% 42.40/28.00 tff(22012,plain,
% 42.40/28.00 ((~v90(constB153, bitIndex0)) | v90(constB153, bitIndex2) | v122(constB153)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22011, 2129, 21988])).
% 42.40/28.00 tff(22013,plain,
% 42.40/28.00 (v90(constB153, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22012, 22008, 21932])).
% 42.40/28.00 tff(22014,plain,
% 42.40/28.00 ((~v1(constB155)) <=> (~v1(constB155))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22015,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 42.40/28.00 tff(22016,plain,
% 42.40/28.00 (~v1(constB155)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22015, 22014])).
% 42.40/28.00 tff(22017,plain,
% 42.40/28.00 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22018,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 42.40/28.00 tff(22019,plain,
% 42.40/28.00 (nextState(constB154, constB155)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22018, 22017])).
% 42.40/28.00 tff(22020,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22021,plain,
% 42.40/28.00 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22022,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 42.40/28.00 inference(monotonicity,[status(thm)],[22021])).
% 42.40/28.00 tff(22023,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 42.40/28.00 inference(transitivity,[status(thm)],[22022, 22020])).
% 42.40/28.00 tff(22024,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22025,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22024, 22023])).
% 42.40/28.00 tff(22026,plain,
% 42.40/28.00 (~v101(constB155)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22025, 391, 22019, 22016])).
% 42.40/28.00 tff(22027,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22028,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22029,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22028, 22027])).
% 42.40/28.00 tff(22030,plain,
% 42.40/28.00 (v101(constB155) | (~v100(constB155))),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22029, 408, 22019])).
% 42.40/28.00 tff(22031,plain,
% 42.40/28.00 (~v100(constB155)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22030, 22026])).
% 42.40/28.00 tff(22032,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22033,plain,
% 42.40/28.00 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22034,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1)))),
% 42.40/28.00 inference(monotonicity,[status(thm)],[22033])).
% 42.40/28.00 tff(22035,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 42.40/28.00 inference(transitivity,[status(thm)],[22034, 22032])).
% 42.40/28.00 tff(22036,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22037,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22036, 22035])).
% 42.40/28.00 tff(22038,plain,
% 42.40/28.00 ((~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22037, 1192, 22019])).
% 42.40/28.00 tff(22039,plain,
% 42.40/28.00 ((~v90(constB154, bitIndex1)) | v90(constB155, bitIndex1)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22038, 22031])).
% 42.40/28.00 tff(22040,plain,
% 42.40/28.00 (v90(constB155, bitIndex1)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22039, 21980])).
% 42.40/28.00 tff(22041,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB155)) | (~v90(constB155, bitIndex1)))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22042,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB155)) | (~v90(constB155, bitIndex1)))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22043,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB155)) | (~v90(constB155, bitIndex1))),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22042, 22041])).
% 42.40/28.00 tff(22044,plain,
% 42.40/28.00 (~v120(constB155)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22043, 1391, 22040])).
% 42.40/28.00 tff(22045,assumption,(v122(constB149)), introduced(assumption)).
% 42.40/28.00 tff(22046,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB149)) | v116(constB149))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22047,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB149)) | v116(constB149))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22048,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB149)) | v116(constB149)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22047, 22046])).
% 42.40/28.00 tff(22049,plain,
% 42.40/28.00 (v116(constB149)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22048, 2140, 22045])).
% 42.40/28.00 tff(22050,plain,
% 42.40/28.00 (v115(constB149)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21134, 539, 22049])).
% 42.40/28.00 tff(22051,plain,
% 42.40/28.00 (v114(constB149)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21141, 553, 22050])).
% 42.40/28.00 tff(22052,plain,
% 42.40/28.00 (v113(constB149)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21148, 567, 22051])).
% 42.40/28.00 tff(22053,plain,
% 42.40/28.00 (v112(constB149)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21157, 22052])).
% 42.40/28.00 tff(22054,plain,
% 42.40/28.00 (v108(constB149)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21164, 746, 22053])).
% 42.40/28.00 tff(22055,plain,
% 42.40/28.00 (v110(constB150)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21175, 22054])).
% 42.40/28.00 tff(22056,plain,
% 42.40/28.00 (v100(constB150)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[21207, 22055])).
% 42.40/28.00 tff(22057,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB149)) | v130(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB149)) | v130(constB149, bitIndex2))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22058,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB149)) | v130(constB149, bitIndex2))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22059,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB149)) | v130(constB149, bitIndex2)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22058, 22057])).
% 42.40/28.00 tff(22060,plain,
% 42.40/28.00 (v130(constB149, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22059, 2224, 22045])).
% 42.40/28.00 tff(22061,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB149) | (~v130(constB149, bitIndex2)) | v127(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB149) | (~v130(constB149, bitIndex2)) | v127(constB149, bitIndex2))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22062,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB149) | (~v130(constB149, bitIndex2)) | v127(constB149, bitIndex2))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22063,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB149) | (~v130(constB149, bitIndex2)) | v127(constB149, bitIndex2)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 42.40/28.00 tff(22064,plain,
% 42.40/28.00 ((~v130(constB149, bitIndex2)) | v127(constB149, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22063, 607, 21153])).
% 42.40/28.00 tff(22065,plain,
% 42.40/28.00 (v127(constB149, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22064, 22060])).
% 42.40/28.00 tff(22066,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex2)) | v129(constB150, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex2)) | v129(constB150, bitIndex2))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22067,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex2)) | v129(constB150, bitIndex2))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22068,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex2)) | v129(constB150, bitIndex2)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 42.40/28.00 tff(22069,plain,
% 42.40/28.00 ((~v127(constB149, bitIndex2)) | v129(constB150, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22068, 625, 21168])).
% 42.40/28.00 tff(22070,plain,
% 42.40/28.00 (v129(constB150, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22069, 22065])).
% 42.40/28.00 tff(22071,plain,
% 42.40/28.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~v129(constB150, bitIndex2)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~v129(constB150, bitIndex2)) | (~v100(constB150)))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22072,plain,
% 42.40/28.00 ((v90(constB150, bitIndex2) | (~v100(constB150)) | (~v129(constB150, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~v129(constB150, bitIndex2)) | (~v100(constB150)))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22073,plain,
% 42.40/28.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~v100(constB150)) | (~v129(constB150, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~v129(constB150, bitIndex2)) | (~v100(constB150))))),
% 42.40/28.00 inference(monotonicity,[status(thm)],[22072])).
% 42.40/28.00 tff(22074,plain,
% 42.40/28.00 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~v100(constB150)) | (~v129(constB150, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~v129(constB150, bitIndex2)) | (~v100(constB150)))),
% 42.40/28.00 inference(transitivity,[status(thm)],[22073, 22071])).
% 42.40/28.00 tff(22075,plain,
% 42.40/28.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~v100(constB150)) | (~v129(constB150, bitIndex2)))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22076,plain,
% 42.40/28.00 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~v129(constB150, bitIndex2)) | (~v100(constB150))),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22075, 22074])).
% 42.40/28.00 tff(22077,plain,
% 42.40/28.00 (v90(constB150, bitIndex2) | (~v100(constB150))),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22076, 641, 22070])).
% 42.40/28.00 tff(22078,plain,
% 42.40/28.00 (v90(constB150, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22077, 22056])).
% 42.40/28.00 tff(22079,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex2))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22080,plain,
% 42.40/28.00 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex2)) | v100(constB151) | v90(constB151, bitIndex2)) <=> ((~v90(constB150, bitIndex2)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex2))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22081,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex2)) | v100(constB151) | v90(constB151, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex2)))),
% 42.40/28.00 inference(monotonicity,[status(thm)],[22080])).
% 42.40/28.00 tff(22082,plain,
% 42.40/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex2)) | v100(constB151) | v90(constB151, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex2))),
% 42.40/28.00 inference(transitivity,[status(thm)],[22081, 22079])).
% 42.40/28.00 tff(22083,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex2)) | v100(constB151) | v90(constB151, bitIndex2))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22084,plain,
% 42.40/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex2)),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22083, 22082])).
% 42.40/28.00 tff(22085,plain,
% 42.40/28.00 ((~v90(constB150, bitIndex2)) | v100(constB151) | v90(constB151, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22084, 783, 21259])).
% 42.40/28.00 tff(22086,plain,
% 42.40/28.00 ((~v90(constB150, bitIndex2)) | v90(constB151, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22085, 21271])).
% 42.40/28.00 tff(22087,plain,
% 42.40/28.00 (v90(constB151, bitIndex2)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22086, 22078])).
% 42.40/28.00 tff(22088,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB149)) | (~v130(constB149, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB149)) | (~v130(constB149, bitIndex1)))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22089,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB149)) | (~v130(constB149, bitIndex1)))),
% 42.40/28.00 inference(quant_inst,[status(thm)],[])).
% 42.40/28.00 tff(22090,plain,
% 42.40/28.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB149)) | (~v130(constB149, bitIndex1))),
% 42.40/28.00 inference(modus_ponens,[status(thm)],[22089, 22088])).
% 42.40/28.00 tff(22091,plain,
% 42.40/28.00 (~v130(constB149, bitIndex1)),
% 42.40/28.00 inference(unit_resolution,[status(thm)],[22090, 2281, 22045])).
% 42.40/28.00 tff(22092,plain,
% 42.40/28.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22093,plain,
% 42.40/28.00 ((v26(constB149) | v130(constB149, bitIndex1) | (~v127(constB149, bitIndex1))) <=> ((~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1))),
% 42.40/28.00 inference(rewrite,[status(thm)],[])).
% 42.40/28.00 tff(22094,plain,
% 42.41/28.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB149) | v130(constB149, bitIndex1) | (~v127(constB149, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1)))),
% 42.41/28.00 inference(monotonicity,[status(thm)],[22093])).
% 42.41/28.00 tff(22095,plain,
% 42.41/28.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB149) | v130(constB149, bitIndex1) | (~v127(constB149, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1))),
% 42.41/28.00 inference(transitivity,[status(thm)],[22094, 22092])).
% 42.41/28.00 tff(22096,plain,
% 42.41/28.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB149) | v130(constB149, bitIndex1) | (~v127(constB149, bitIndex1)))),
% 42.41/28.00 inference(quant_inst,[status(thm)],[])).
% 42.41/28.00 tff(22097,plain,
% 42.41/28.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB149, bitIndex1)) | v26(constB149) | v130(constB149, bitIndex1)),
% 42.41/28.00 inference(modus_ponens,[status(thm)],[22096, 22095])).
% 42.41/28.00 tff(22098,plain,
% 42.41/28.00 ((~v127(constB149, bitIndex1)) | v130(constB149, bitIndex1)),
% 42.41/28.00 inference(unit_resolution,[status(thm)],[22097, 823, 21153])).
% 42.41/28.00 tff(22099,plain,
% 42.41/28.00 (~v127(constB149, bitIndex1)),
% 42.41/28.00 inference(unit_resolution,[status(thm)],[22098, 22091])).
% 42.41/28.00 tff(22100,plain,
% 42.41/28.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1)))),
% 42.41/28.00 inference(rewrite,[status(thm)],[])).
% 42.41/28.00 tff(22101,plain,
% 42.41/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1)))),
% 42.41/28.00 inference(quant_inst,[status(thm)],[])).
% 42.41/28.00 tff(22102,plain,
% 42.41/28.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1))),
% 42.41/28.00 inference(modus_ponens,[status(thm)],[22101, 22100])).
% 42.41/28.00 tff(22103,plain,
% 42.41/28.00 (v127(constB149, bitIndex1) | (~v129(constB150, bitIndex1))),
% 42.41/28.00 inference(unit_resolution,[status(thm)],[22102, 853, 21168])).
% 42.41/28.00 tff(22104,plain,
% 42.41/28.00 (~v129(constB150, bitIndex1)),
% 42.41/28.00 inference(unit_resolution,[status(thm)],[22103, 22099])).
% 42.41/28.00 tff(22105,plain,
% 42.41/28.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150)))),
% 42.41/28.00 inference(rewrite,[status(thm)],[])).
% 42.41/28.00 tff(22106,plain,
% 42.41/28.00 (((~v90(constB150, bitIndex1)) | (~v100(constB150)) | v129(constB150, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150)))),
% 42.41/28.00 inference(rewrite,[status(thm)],[])).
% 42.41/28.00 tff(22107,plain,
% 42.41/28.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~v100(constB150)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150))))),
% 42.41/28.01 inference(monotonicity,[status(thm)],[22106])).
% 42.41/28.01 tff(22108,plain,
% 42.41/28.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~v100(constB150)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150)))),
% 42.41/28.01 inference(transitivity,[status(thm)],[22107, 22105])).
% 42.41/28.01 tff(22109,plain,
% 42.41/28.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~v100(constB150)) | v129(constB150, bitIndex1))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22110,plain,
% 42.41/28.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | v129(constB150, bitIndex1) | (~v100(constB150))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22109, 22108])).
% 42.41/28.01 tff(22111,plain,
% 42.41/28.01 ((~v90(constB150, bitIndex1)) | (~v100(constB150))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22110, 868, 22104])).
% 42.41/28.01 tff(22112,plain,
% 42.41/28.01 (~v90(constB150, bitIndex1)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22111, 22056])).
% 42.41/28.01 tff(22113,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22114,plain,
% 42.41/28.01 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22115,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1))))),
% 42.41/28.01 inference(monotonicity,[status(thm)],[22114])).
% 42.41/28.01 tff(22116,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1)))),
% 42.41/28.01 inference(transitivity,[status(thm)],[22115, 22113])).
% 42.41/28.01 tff(22117,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22118,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex1))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22117, 22116])).
% 42.41/28.01 tff(22119,plain,
% 42.41/28.01 (v90(constB150, bitIndex1) | v100(constB151) | (~v90(constB151, bitIndex1))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22118, 444, 21259])).
% 42.41/28.01 tff(22120,plain,
% 42.41/28.01 (v90(constB150, bitIndex1) | (~v90(constB151, bitIndex1))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22119, 21271])).
% 42.41/28.01 tff(22121,plain,
% 42.41/28.01 (~v90(constB151, bitIndex1)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22120, 22112])).
% 42.41/28.01 tff(22122,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB149)) | (~v130(constB149, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB149)) | (~v130(constB149, bitIndex0)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22123,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB149)) | (~v130(constB149, bitIndex0)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22124,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB149)) | (~v130(constB149, bitIndex0))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22123, 22122])).
% 42.41/28.01 tff(22125,plain,
% 42.41/28.01 (~v130(constB149, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22124, 2327, 22045])).
% 42.41/28.01 tff(22126,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22127,plain,
% 42.41/28.01 ((v26(constB149) | v130(constB149, bitIndex0) | (~v127(constB149, bitIndex0))) <=> ((~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22128,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB149) | v130(constB149, bitIndex0) | (~v127(constB149, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0)))),
% 42.41/28.01 inference(monotonicity,[status(thm)],[22127])).
% 42.41/28.01 tff(22129,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB149) | v130(constB149, bitIndex0) | (~v127(constB149, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0))),
% 42.41/28.01 inference(transitivity,[status(thm)],[22128, 22126])).
% 42.41/28.01 tff(22130,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB149) | v130(constB149, bitIndex0) | (~v127(constB149, bitIndex0)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22131,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB149, bitIndex0)) | v26(constB149) | v130(constB149, bitIndex0)),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22130, 22129])).
% 42.41/28.01 tff(22132,plain,
% 42.41/28.01 ((~v127(constB149, bitIndex0)) | v130(constB149, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22131, 907, 21153])).
% 42.41/28.01 tff(22133,plain,
% 42.41/28.01 (~v127(constB149, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22132, 22125])).
% 42.41/28.01 tff(22134,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22135,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22136,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22135, 22134])).
% 42.41/28.01 tff(22137,plain,
% 42.41/28.01 (v127(constB149, bitIndex0) | (~v129(constB150, bitIndex0))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22136, 937, 21168])).
% 42.41/28.01 tff(22138,plain,
% 42.41/28.01 (~v129(constB150, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22137, 22133])).
% 42.41/28.01 tff(22139,plain,
% 42.41/28.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22140,plain,
% 42.41/28.01 (((~v90(constB150, bitIndex0)) | (~v100(constB150)) | v129(constB150, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22141,plain,
% 42.41/28.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~v100(constB150)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150))))),
% 42.41/28.01 inference(monotonicity,[status(thm)],[22140])).
% 42.41/28.01 tff(22142,plain,
% 42.41/28.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~v100(constB150)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150)))),
% 42.41/28.01 inference(transitivity,[status(thm)],[22141, 22139])).
% 42.41/28.01 tff(22143,plain,
% 42.41/28.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~v100(constB150)) | v129(constB150, bitIndex0))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22144,plain,
% 42.41/28.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | v129(constB150, bitIndex0) | (~v100(constB150))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22143, 22142])).
% 42.41/28.01 tff(22145,plain,
% 42.41/28.01 ((~v90(constB150, bitIndex0)) | (~v100(constB150))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22144, 952, 22138])).
% 42.41/28.01 tff(22146,plain,
% 42.41/28.01 (~v90(constB150, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22145, 22056])).
% 42.41/28.01 tff(22147,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22148,plain,
% 42.41/28.01 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22149,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0))))),
% 42.41/28.01 inference(monotonicity,[status(thm)],[22148])).
% 42.41/28.01 tff(22150,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0)))),
% 42.41/28.01 inference(transitivity,[status(thm)],[22149, 22147])).
% 42.41/28.01 tff(22151,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22152,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex0))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22151, 22150])).
% 42.41/28.01 tff(22153,plain,
% 42.41/28.01 (v90(constB150, bitIndex0) | v100(constB151) | (~v90(constB151, bitIndex0))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22152, 465, 21259])).
% 42.41/28.01 tff(22154,plain,
% 42.41/28.01 (v90(constB150, bitIndex0) | (~v90(constB151, bitIndex0))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22153, 21271])).
% 42.41/28.01 tff(22155,plain,
% 42.41/28.01 (~v90(constB151, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22154, 22146])).
% 42.41/28.01 tff(22156,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | (~v90(constB151, bitIndex2)) | v123(constB151))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | (~v90(constB151, bitIndex2)) | v123(constB151))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22157,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | (~v90(constB151, bitIndex2)) | v123(constB151))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22158,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB151, bitIndex0) | v90(constB151, bitIndex1) | (~v90(constB151, bitIndex2)) | v123(constB151)),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22157, 22156])).
% 42.41/28.01 tff(22159,plain,
% 42.41/28.01 (v123(constB151)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22158, 979, 22155, 22121, 22087])).
% 42.41/28.01 tff(22160,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB151)) | v115(constB151))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22161,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB151)) | v115(constB151))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22162,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB151)) | v115(constB151)),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22161, 22160])).
% 42.41/28.01 tff(22163,plain,
% 42.41/28.01 (v115(constB151)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22162, 990, 22159])).
% 42.41/28.01 tff(22164,plain,
% 42.41/28.01 (v114(constB151)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21368, 553, 22163])).
% 42.41/28.01 tff(22165,plain,
% 42.41/28.01 (v113(constB151)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21468, 567, 22164])).
% 42.41/28.01 tff(22166,plain,
% 42.41/28.01 (v112(constB151)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21461, 22165])).
% 42.41/28.01 tff(22167,plain,
% 42.41/28.01 (v108(constB151)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21452, 746, 22166])).
% 42.41/28.01 tff(22168,plain,
% 42.41/28.01 (v110(constB152)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21445, 22167])).
% 42.41/28.01 tff(22169,plain,
% 42.41/28.01 (v100(constB152)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21437, 22168])).
% 42.41/28.01 tff(22170,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB151)) | v130(constB151, bitIndex2))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22171,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB151)) | v130(constB151, bitIndex2))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22172,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB151)) | v130(constB151, bitIndex2)),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22171, 22170])).
% 42.41/28.01 tff(22173,plain,
% 42.41/28.01 (v130(constB151, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22172, 1074, 22159])).
% 42.41/28.01 tff(22174,plain,
% 42.41/28.01 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21654, 607, 21457])).
% 42.41/28.01 tff(22175,plain,
% 42.41/28.01 (v127(constB151, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22174, 22173])).
% 42.41/28.01 tff(22176,plain,
% 42.41/28.01 (v129(constB152, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21650, 22175])).
% 42.41/28.01 tff(22177,plain,
% 42.41/28.01 (v90(constB152, bitIndex2) | (~v100(constB152))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21644, 641, 22176])).
% 42.41/28.01 tff(22178,plain,
% 42.41/28.01 (v90(constB152, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22177, 22169])).
% 42.41/28.01 tff(22179,plain,
% 42.41/28.01 (v90(constB153, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21560, 22178])).
% 42.41/28.01 tff(22180,plain,
% 42.41/28.01 (v130(constB151, bitIndex1)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21697, 1130, 22159])).
% 42.41/28.01 tff(22181,plain,
% 42.41/28.01 ((~v130(constB151, bitIndex1)) | v127(constB151, bitIndex1)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21680, 1144, 21457])).
% 42.41/28.01 tff(22182,plain,
% 42.41/28.01 (v127(constB151, bitIndex1)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22181, 22180])).
% 42.41/28.01 tff(22183,plain,
% 42.41/28.01 (v129(constB152, bitIndex1)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21676, 22182])).
% 42.41/28.01 tff(22184,plain,
% 42.41/28.01 (v90(constB152, bitIndex1) | (~v100(constB152))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21670, 1174, 22183])).
% 42.41/28.01 tff(22185,plain,
% 42.41/28.01 (v90(constB152, bitIndex1)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22184, 22169])).
% 42.41/28.01 tff(22186,plain,
% 42.41/28.01 (v90(constB153, bitIndex1)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21516, 22185])).
% 42.41/28.01 tff(22187,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB151)) | (~v130(constB151, bitIndex0)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22188,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB151)) | (~v130(constB151, bitIndex0)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22189,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB151)) | (~v130(constB151, bitIndex0))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22188, 22187])).
% 42.41/28.01 tff(22190,plain,
% 42.41/28.01 (~v130(constB151, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22189, 1208, 22159])).
% 42.41/28.01 tff(22191,plain,
% 42.41/28.01 (~v127(constB151, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21388, 22190])).
% 42.41/28.01 tff(22192,plain,
% 42.41/28.01 (~v129(constB152, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21396, 22191])).
% 42.41/28.01 tff(22193,plain,
% 42.41/28.01 ((~v90(constB152, bitIndex0)) | (~v100(constB152))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21404, 952, 22192])).
% 42.41/28.01 tff(22194,plain,
% 42.41/28.01 (~v90(constB152, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22193, 22169])).
% 42.41/28.01 tff(22195,plain,
% 42.41/28.01 (~v90(constB153, bitIndex0)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21497, 22194])).
% 42.41/28.01 tff(22196,plain,
% 42.41/28.01 (v125(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21998, 1252, 22195, 22186, 22179])).
% 42.41/28.01 tff(22197,plain,
% 42.41/28.01 (v113(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21938, 1263, 22196])).
% 42.41/28.01 tff(22198,plain,
% 42.41/28.01 (v112(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21906, 22197])).
% 42.41/28.01 tff(22199,plain,
% 42.41/28.01 (v108(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21898, 746, 22198])).
% 42.41/28.01 tff(22200,plain,
% 42.41/28.01 (v110(constB154)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21891, 22199])).
% 42.41/28.01 tff(22201,plain,
% 42.41/28.01 (v100(constB154)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[21883, 22200])).
% 42.41/28.01 tff(22202,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB153)) | (~v90(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB153)) | (~v90(constB153, bitIndex2)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22203,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB153)) | (~v90(constB153, bitIndex2)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22204,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB153)) | (~v90(constB153, bitIndex2))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22203, 22202])).
% 42.41/28.01 tff(22205,plain,
% 42.41/28.01 (~v122(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22204, 1347, 22179])).
% 42.41/28.01 tff(22206,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB153)) | (~v90(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB153)) | (~v90(constB153, bitIndex2)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22207,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB153)) | (~v90(constB153, bitIndex2)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22208,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB153)) | (~v90(constB153, bitIndex2))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22207, 22206])).
% 42.41/28.01 tff(22209,plain,
% 42.41/28.01 (~v121(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22208, 1336, 22179])).
% 42.41/28.01 tff(22210,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v90(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v90(constB153, bitIndex1)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22211,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v90(constB153, bitIndex1)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22212,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v90(constB153, bitIndex1))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 42.41/28.01 tff(22213,plain,
% 42.41/28.01 (~v123(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22212, 1358, 22186])).
% 42.41/28.01 tff(22214,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB153)) | (~v90(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB153)) | (~v90(constB153, bitIndex1)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22215,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB153)) | (~v90(constB153, bitIndex1)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22216,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB153)) | (~v90(constB153, bitIndex1))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22215, 22214])).
% 42.41/28.01 tff(22217,plain,
% 42.41/28.01 (~v124(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22216, 1369, 22186])).
% 42.41/28.01 tff(22218,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB153)) | (~v90(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB153)) | (~v90(constB153, bitIndex1)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22219,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB153)) | (~v90(constB153, bitIndex1)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22220,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB153)) | (~v90(constB153, bitIndex1))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22219, 22218])).
% 42.41/28.01 tff(22221,plain,
% 42.41/28.01 (~v119(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22220, 1380, 22186])).
% 42.41/28.01 tff(22222,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB153)) | (~v90(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB153)) | (~v90(constB153, bitIndex1)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22223,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB153)) | (~v90(constB153, bitIndex1)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22224,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB153)) | (~v90(constB153, bitIndex1))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22223, 22222])).
% 42.41/28.01 tff(22225,plain,
% 42.41/28.01 (~v120(constB153)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22224, 1391, 22186])).
% 42.41/28.01 tff(22226,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, bitIndex2)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22227,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, bitIndex2)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22228,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, bitIndex2))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22227, 22226])).
% 42.41/28.01 tff(22229,plain,
% 42.41/28.01 (~v130(constB153, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22228, 1405, 22225, 22221, 22217, 22213, 22209, 22205])).
% 42.41/28.01 tff(22230,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB153, bitIndex2)) | v26(constB153) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB153, bitIndex2)) | v26(constB153) | v130(constB153, bitIndex2))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22231,plain,
% 42.41/28.01 ((v26(constB153) | v130(constB153, bitIndex2) | (~v127(constB153, bitIndex2))) <=> ((~v127(constB153, bitIndex2)) | v26(constB153) | v130(constB153, bitIndex2))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22232,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB153) | v130(constB153, bitIndex2) | (~v127(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB153, bitIndex2)) | v26(constB153) | v130(constB153, bitIndex2)))),
% 42.41/28.01 inference(monotonicity,[status(thm)],[22231])).
% 42.41/28.01 tff(22233,plain,
% 42.41/28.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB153) | v130(constB153, bitIndex2) | (~v127(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB153, bitIndex2)) | v26(constB153) | v130(constB153, bitIndex2))),
% 42.41/28.01 inference(transitivity,[status(thm)],[22232, 22230])).
% 42.41/28.01 tff(22234,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB153) | v130(constB153, bitIndex2) | (~v127(constB153, bitIndex2)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22235,plain,
% 42.41/28.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB153, bitIndex2)) | v26(constB153) | v130(constB153, bitIndex2)),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22234, 22233])).
% 42.41/28.01 tff(22236,plain,
% 42.41/28.01 ((~v127(constB153, bitIndex2)) | v130(constB153, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22235, 1419, 21838])).
% 42.41/28.01 tff(22237,plain,
% 42.41/28.01 (~v127(constB153, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22236, 22229])).
% 42.41/28.01 tff(22238,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex2) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex2) | (~v129(constB154, bitIndex2)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22239,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex2) | (~v129(constB154, bitIndex2)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22240,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex2) | (~v129(constB154, bitIndex2))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22239, 22238])).
% 42.41/28.01 tff(22241,plain,
% 42.41/28.01 (v127(constB153, bitIndex2) | (~v129(constB154, bitIndex2))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22240, 1437, 21846])).
% 42.41/28.01 tff(22242,plain,
% 42.41/28.01 (~v129(constB154, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22241, 22237])).
% 42.41/28.01 tff(22243,plain,
% 42.41/28.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB154, bitIndex2)) | v129(constB154, bitIndex2) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB154, bitIndex2)) | v129(constB154, bitIndex2) | (~v100(constB154)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22244,plain,
% 42.41/28.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB154, bitIndex2)) | v129(constB154, bitIndex2) | (~v100(constB154)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22245,plain,
% 42.41/28.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB154, bitIndex2)) | v129(constB154, bitIndex2) | (~v100(constB154))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22244, 22243])).
% 42.41/28.01 tff(22246,plain,
% 42.41/28.01 ((~v90(constB154, bitIndex2)) | (~v100(constB154))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22245, 1452, 22242])).
% 42.41/28.01 tff(22247,plain,
% 42.41/28.01 (~v90(constB154, bitIndex2)),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22246, 22201])).
% 42.41/28.01 tff(22248,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex2)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22249,plain,
% 42.41/28.01 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex2) | v100(constB155) | (~v90(constB155, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex2)))),
% 42.41/28.01 inference(rewrite,[status(thm)],[])).
% 42.41/28.01 tff(22250,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex2) | v100(constB155) | (~v90(constB155, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex2))))),
% 42.41/28.01 inference(monotonicity,[status(thm)],[22249])).
% 42.41/28.01 tff(22251,plain,
% 42.41/28.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex2) | v100(constB155) | (~v90(constB155, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex2)))),
% 42.41/28.01 inference(transitivity,[status(thm)],[22250, 22248])).
% 42.41/28.01 tff(22252,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex2) | v100(constB155) | (~v90(constB155, bitIndex2)))),
% 42.41/28.01 inference(quant_inst,[status(thm)],[])).
% 42.41/28.01 tff(22253,plain,
% 42.41/28.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex2))),
% 42.41/28.01 inference(modus_ponens,[status(thm)],[22252, 22251])).
% 42.41/28.01 tff(22254,plain,
% 42.41/28.01 (v90(constB154, bitIndex2) | v100(constB155) | (~v90(constB155, bitIndex2))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22253, 423, 22019])).
% 42.41/28.01 tff(22255,plain,
% 42.41/28.01 (v90(constB154, bitIndex2) | (~v90(constB155, bitIndex2))),
% 42.41/28.01 inference(unit_resolution,[status(thm)],[22254, 22031])).
% 42.41/28.02 tff(22256,plain,
% 42.41/28.02 (~v90(constB155, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22255, 22247])).
% 42.41/28.02 tff(22257,assumption,(v130(constB153, bitIndex1)), introduced(assumption)).
% 42.41/28.02 tff(22258,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB153)) | (~v130(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB153)) | (~v130(constB153, bitIndex1)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22259,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB153)) | (~v130(constB153, bitIndex1)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22260,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB153)) | (~v130(constB153, bitIndex1))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22259, 22258])).
% 42.41/28.02 tff(22261,plain,
% 42.41/28.02 (~v122(constB153)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22260, 2281, 22257])).
% 42.41/28.02 tff(22262,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB153)) | (~v130(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB153)) | (~v130(constB153, bitIndex1)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22263,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB153)) | (~v130(constB153, bitIndex1)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22264,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB153)) | (~v130(constB153, bitIndex1))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22263, 22262])).
% 42.41/28.02 tff(22265,plain,
% 42.41/28.02 (~v119(constB153)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22264, 809, 22257])).
% 42.41/28.02 tff(22266,assumption,(~v90(constB151, bitIndex0)), introduced(assumption)).
% 42.41/28.02 tff(22267,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22268,plain,
% 42.41/28.02 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22269,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2))))),
% 42.41/28.02 inference(monotonicity,[status(thm)],[22268])).
% 42.41/28.02 tff(22270,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2)))),
% 42.41/28.02 inference(transitivity,[status(thm)],[22269, 22267])).
% 42.41/28.02 tff(22271,plain,
% 42.41/28.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22272,plain,
% 42.41/28.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex2))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22271, 22270])).
% 42.41/28.02 tff(22273,plain,
% 42.41/28.02 (v90(constB152, bitIndex2) | v100(constB153) | (~v90(constB153, bitIndex2))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22272, 423, 21477])).
% 42.41/28.02 tff(22274,plain,
% 42.41/28.02 (v90(constB152, bitIndex2) | (~v90(constB153, bitIndex2))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22273, 21489])).
% 42.41/28.02 tff(22275,plain,
% 42.41/28.02 (v90(constB152, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22274, 21536])).
% 42.41/28.02 tff(22276,plain,
% 42.41/28.02 (v90(constB153, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21540, 21508, 21536])).
% 42.41/28.02 tff(22277,plain,
% 42.41/28.02 (v90(constB152, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21497, 22276])).
% 42.41/28.02 tff(22278,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22279,plain,
% 42.41/28.02 (((~nextState(constB151, constB152)) | v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0))) <=> (v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22280,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0))))),
% 42.41/28.02 inference(monotonicity,[status(thm)],[22279])).
% 42.41/28.02 tff(22281,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0)))),
% 42.41/28.02 inference(transitivity,[status(thm)],[22280, 22278])).
% 42.41/28.02 tff(22282,plain,
% 42.41/28.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22283,plain,
% 42.41/28.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB151, bitIndex0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, bitIndex0))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22282, 22281])).
% 42.41/28.02 tff(22284,plain,
% 42.41/28.02 (v90(constB151, bitIndex0) | v100(constB152) | (~v90(constB152, bitIndex0))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22283, 465, 21392])).
% 42.41/28.02 tff(22285,plain,
% 42.41/28.02 (v100(constB152)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22284, 22277, 22266])).
% 42.41/28.02 tff(22286,plain,
% 42.41/28.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22287,plain,
% 42.41/28.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22288,plain,
% 42.41/28.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB152, bitIndex2)) | v129(constB152, bitIndex2) | (~v100(constB152))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22287, 22286])).
% 42.41/28.02 tff(22289,plain,
% 42.41/28.02 (v129(constB152, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22288, 1452, 22285, 22275])).
% 42.41/28.02 tff(22290,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22291,plain,
% 42.41/28.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22292,plain,
% 42.41/28.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22291, 22290])).
% 42.41/28.02 tff(22293,plain,
% 42.41/28.02 (v127(constB151, bitIndex2) | (~v129(constB152, bitIndex2))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22292, 1437, 21392])).
% 42.41/28.02 tff(22294,plain,
% 42.41/28.02 (v127(constB151, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22293, 22289])).
% 42.41/28.02 tff(22295,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22296,plain,
% 42.41/28.02 ((v26(constB151) | v130(constB151, bitIndex2) | (~v127(constB151, bitIndex2))) <=> ((~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22297,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB151) | v130(constB151, bitIndex2) | (~v127(constB151, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2)))),
% 42.41/28.02 inference(monotonicity,[status(thm)],[22296])).
% 42.41/28.02 tff(22298,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB151) | v130(constB151, bitIndex2) | (~v127(constB151, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2))),
% 42.41/28.02 inference(transitivity,[status(thm)],[22297, 22295])).
% 42.41/28.02 tff(22299,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB151) | v130(constB151, bitIndex2) | (~v127(constB151, bitIndex2)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22300,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB151, bitIndex2)) | v26(constB151) | v130(constB151, bitIndex2)),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22299, 22298])).
% 42.41/28.02 tff(22301,plain,
% 42.41/28.02 ((~v127(constB151, bitIndex2)) | v130(constB151, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22300, 1419, 21457])).
% 42.41/28.02 tff(22302,plain,
% 42.41/28.02 (v130(constB151, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22301, 22294])).
% 42.41/28.02 tff(22303,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB151)) | (~v130(constB151, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB151)) | (~v130(constB151, bitIndex2)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22304,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB151)) | (~v130(constB151, bitIndex2)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22305,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB151)) | (~v130(constB151, bitIndex2))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22304, 22303])).
% 42.41/28.02 tff(22306,plain,
% 42.41/28.02 (~v121(constB151)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22305, 1990, 22302])).
% 42.41/28.02 tff(22307,plain,
% 42.41/28.02 (v129(constB152, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21404, 952, 22285, 22277])).
% 42.41/28.02 tff(22308,plain,
% 42.41/28.02 (v127(constB151, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21396, 22307])).
% 42.41/28.02 tff(22309,plain,
% 42.41/28.02 (v130(constB151, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21388, 22308])).
% 42.41/28.02 tff(22310,plain,
% 42.41/28.02 (~v123(constB151)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22189, 1208, 22309])).
% 42.41/28.02 tff(22311,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB151)) | (~v130(constB151, bitIndex0)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22312,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB151)) | (~v130(constB151, bitIndex0)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22313,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB151)) | (~v130(constB151, bitIndex0))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22312, 22311])).
% 42.41/28.02 tff(22314,plain,
% 42.41/28.02 (~v119(constB151)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22313, 893, 22309])).
% 42.41/28.02 tff(22315,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB151)) | v90(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB151)) | v90(constB151, bitIndex0))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22316,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB151)) | v90(constB151, bitIndex0))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22317,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB151)) | v90(constB151, bitIndex0)),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22316, 22315])).
% 42.41/28.02 tff(22318,plain,
% 42.41/28.02 (~v124(constB151)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22317, 10973, 22266])).
% 42.41/28.02 tff(22319,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB151)) | v90(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB151)) | v90(constB151, bitIndex0))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22320,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB151)) | v90(constB151, bitIndex0))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22321,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB151)) | v90(constB151, bitIndex0)),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 42.41/28.02 tff(22322,plain,
% 42.41/28.02 (~v120(constB151)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22321, 10958, 22266])).
% 42.41/28.02 tff(22323,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB151)) | v90(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB151)) | v90(constB151, bitIndex0))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22324,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB151)) | v90(constB151, bitIndex0))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22325,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB151)) | v90(constB151, bitIndex0)),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22324, 22323])).
% 42.41/28.02 tff(22326,plain,
% 42.41/28.02 (~v122(constB151)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22325, 4538, 22266])).
% 42.41/28.02 tff(22327,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex2)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22328,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex2)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22329,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex2))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22328, 22327])).
% 42.41/28.02 tff(22330,plain,
% 42.41/28.02 (v119(constB151) | v121(constB151) | v123(constB151) | (~v130(constB151, bitIndex2))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22329, 1405, 22326, 22322, 22318])).
% 42.41/28.02 tff(22331,plain,
% 42.41/28.02 ($false),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22330, 22314, 22310, 22302, 22306])).
% 42.41/28.02 tff(22332,plain,(v90(constB153, bitIndex1) | v90(constB151, bitIndex0) | v123(constB153) | v120(constB153) | v119(constB153)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.02 tff(22333,plain,
% 42.41/28.02 (v90(constB153, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22332, 22266, 21503, 21518, 22265])).
% 42.41/28.02 tff(22334,plain,
% 42.41/28.02 (~v124(constB153)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22216, 1369, 22333])).
% 42.41/28.02 tff(22335,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, bitIndex1)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22336,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, bitIndex1)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22337,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, bitIndex1))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22336, 22335])).
% 42.41/28.02 tff(22338,plain,
% 42.41/28.02 (v119(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, bitIndex1))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22337, 1494, 21518])).
% 42.41/28.02 tff(22339,plain,
% 42.41/28.02 (v121(constB153)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22338, 22334, 22257, 22265, 21503, 22261])).
% 42.41/28.02 tff(22340,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB153)) | (~v90(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB153)) | (~v90(constB153, bitIndex0)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22341,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB153)) | (~v90(constB153, bitIndex0)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22342,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB153)) | (~v90(constB153, bitIndex0))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22341, 22340])).
% 42.41/28.02 tff(22343,plain,
% 42.41/28.02 (~v90(constB153, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22342, 11039, 22339])).
% 42.41/28.02 tff(22344,plain,
% 42.41/28.02 (~v90(constB152, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21573, 22343])).
% 42.41/28.02 tff(22345,plain,
% 42.41/28.02 (v90(constB152, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21734, 22333])).
% 42.41/28.02 tff(22346,plain,
% 42.41/28.02 (~v90(constB153, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22208, 1336, 22339])).
% 42.41/28.02 tff(22347,plain,
% 42.41/28.02 (~v90(constB152, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21560, 22346])).
% 42.41/28.02 tff(22348,plain,
% 42.41/28.02 (v100(constB152)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21823, 22347, 22345, 22344])).
% 42.41/28.02 tff(22349,plain,
% 42.41/28.02 (v129(constB152, bitIndex1) | (~v100(constB152))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21779, 868, 22345])).
% 42.41/28.02 tff(22350,plain,
% 42.41/28.02 (v129(constB152, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22349, 22348])).
% 42.41/28.02 tff(22351,plain,
% 42.41/28.02 (v127(constB151, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21785, 22350])).
% 42.41/28.02 tff(22352,plain,
% 42.41/28.02 (v130(constB151, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21793, 22351])).
% 42.41/28.02 tff(22353,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB151)) | (~v130(constB151, bitIndex1)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22354,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB151)) | (~v130(constB151, bitIndex1)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22355,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB151)) | (~v130(constB151, bitIndex1))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22354, 22353])).
% 42.41/28.02 tff(22356,plain,
% 42.41/28.02 (~v119(constB151)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22355, 809, 22352])).
% 42.41/28.02 tff(22357,plain,
% 42.41/28.02 (~v129(constB152, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21704, 1582, 22348, 22344])).
% 42.41/28.02 tff(22358,plain,
% 42.41/28.02 (~v127(constB151, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21710, 22357])).
% 42.41/28.02 tff(22359,plain,
% 42.41/28.02 ((~v130(constB151, bitIndex0)) | v127(constB151, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21714, 1552, 21457])).
% 42.41/28.02 tff(22360,plain,
% 42.41/28.02 (~v130(constB151, bitIndex0)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22359, 22358])).
% 42.41/28.02 tff(22361,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB151)) | v130(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB151)) | v130(constB151, bitIndex0))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22362,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB151)) | v130(constB151, bitIndex0))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22363,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB151)) | v130(constB151, bitIndex0)),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22362, 22361])).
% 42.41/28.02 tff(22364,plain,
% 42.41/28.02 (~v121(constB151)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22363, 2088, 22360])).
% 42.41/28.02 tff(22365,plain,
% 42.41/28.02 (~v129(constB152, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21644, 641, 22348, 22347])).
% 42.41/28.02 tff(22366,plain,
% 42.41/28.02 (~v127(constB151, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[21650, 22365])).
% 42.41/28.02 tff(22367,plain,
% 42.41/28.02 (~v130(constB151, bitIndex2)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22174, 22366])).
% 42.41/28.02 tff(22368,plain,
% 42.41/28.02 (~v123(constB151)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22172, 1074, 22367])).
% 42.41/28.02 tff(22369,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex1)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22370,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex1)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22371,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, bitIndex1))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22370, 22369])).
% 42.41/28.02 tff(22372,plain,
% 42.41/28.02 (v119(constB151) | v121(constB151) | v123(constB151) | (~v130(constB151, bitIndex1))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22371, 1494, 22326, 22322, 22318])).
% 42.41/28.02 tff(22373,plain,
% 42.41/28.02 ($false),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22372, 22368, 22364, 22352, 22356])).
% 42.41/28.02 tff(22374,plain,(v90(constB151, bitIndex0) | (~v130(constB153, bitIndex1)) | v123(constB153) | v120(constB153)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.02 tff(22375,plain,
% 42.41/28.02 (~v130(constB153, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22374, 22225, 22155, 22213])).
% 42.41/28.02 tff(22376,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22377,plain,
% 42.41/28.02 ((v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1))) <=> ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22378,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)))),
% 42.41/28.02 inference(monotonicity,[status(thm)],[22377])).
% 42.41/28.02 tff(22379,plain,
% 42.41/28.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 42.41/28.02 inference(transitivity,[status(thm)],[22378, 22376])).
% 42.41/28.02 tff(22380,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22381,plain,
% 42.41/28.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22380, 22379])).
% 42.41/28.02 tff(22382,plain,
% 42.41/28.02 ((~v127(constB153, bitIndex1)) | v130(constB153, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22381, 823, 21838])).
% 42.41/28.02 tff(22383,plain,
% 42.41/28.02 (~v127(constB153, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22382, 22375])).
% 42.41/28.02 tff(22384,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22385,plain,
% 42.41/28.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22386,plain,
% 42.41/28.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22385, 22384])).
% 42.41/28.02 tff(22387,plain,
% 42.41/28.02 (v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22386, 853, 21846])).
% 42.41/28.02 tff(22388,plain,
% 42.41/28.02 (~v129(constB154, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22387, 22383])).
% 42.41/28.02 tff(22389,plain,
% 42.41/28.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22390,plain,
% 42.41/28.02 (((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22391,plain,
% 42.41/28.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))))),
% 42.41/28.02 inference(monotonicity,[status(thm)],[22390])).
% 42.41/28.02 tff(22392,plain,
% 42.41/28.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 42.41/28.02 inference(transitivity,[status(thm)],[22391, 22389])).
% 42.41/28.02 tff(22393,plain,
% 42.41/28.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))),
% 42.41/28.02 inference(quant_inst,[status(thm)],[])).
% 42.41/28.02 tff(22394,plain,
% 42.41/28.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))),
% 42.41/28.02 inference(modus_ponens,[status(thm)],[22393, 22392])).
% 42.41/28.02 tff(22395,plain,
% 42.41/28.02 ((~v90(constB154, bitIndex1)) | (~v100(constB154))),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22394, 868, 22388])).
% 42.41/28.02 tff(22396,plain,
% 42.41/28.02 (~v90(constB154, bitIndex1)),
% 42.41/28.02 inference(unit_resolution,[status(thm)],[22395, 22201])).
% 42.41/28.02 tff(22397,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22398,plain,
% 42.41/28.02 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 42.41/28.02 inference(rewrite,[status(thm)],[])).
% 42.41/28.02 tff(22399,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))))),
% 42.41/28.02 inference(monotonicity,[status(thm)],[22398])).
% 42.41/28.02 tff(22400,plain,
% 42.41/28.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 42.41/28.02 inference(transitivity,[status(thm)],[22399, 22397])).
% 42.41/28.03 tff(22401,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22402,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22401, 22400])).
% 42.41/28.03 tff(22403,plain,
% 42.41/28.03 (v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22402, 444, 22019])).
% 42.41/28.03 tff(22404,plain,
% 42.41/28.03 (v90(constB154, bitIndex1) | (~v90(constB155, bitIndex1))),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22403, 22031])).
% 42.41/28.03 tff(22405,plain,
% 42.41/28.03 (~v90(constB155, bitIndex1)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22404, 22396])).
% 42.41/28.03 tff(22406,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | v130(constB153, bitIndex0))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22407,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | v130(constB153, bitIndex0))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22408,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | v130(constB153, bitIndex0)),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22407, 22406])).
% 42.41/28.03 tff(22409,plain,
% 42.41/28.03 (v130(constB153, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22408, 1538, 22225, 22221, 22217, 22213, 22209, 22205])).
% 42.41/28.03 tff(22410,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22411,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22412,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22411, 22410])).
% 42.41/28.03 tff(22413,plain,
% 42.41/28.03 ((~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22412, 1552, 21838])).
% 42.41/28.03 tff(22414,plain,
% 42.41/28.03 (v127(constB153, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22413, 22409])).
% 42.41/28.03 tff(22415,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22416,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22417,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22416, 22415])).
% 42.41/28.03 tff(22418,plain,
% 42.41/28.03 ((~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22417, 1567, 21846])).
% 42.41/28.03 tff(22419,plain,
% 42.41/28.03 (v129(constB154, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22418, 22414])).
% 42.41/28.03 tff(22420,plain,
% 42.41/28.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22421,plain,
% 42.41/28.03 ((v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22422,plain,
% 42.41/28.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))))),
% 42.41/28.03 inference(monotonicity,[status(thm)],[22421])).
% 42.41/28.03 tff(22423,plain,
% 42.41/28.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 42.41/28.03 inference(transitivity,[status(thm)],[22422, 22420])).
% 42.41/28.03 tff(22424,plain,
% 42.41/28.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22425,plain,
% 42.41/28.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22424, 22423])).
% 42.41/28.03 tff(22426,plain,
% 42.41/28.03 (v90(constB154, bitIndex0) | (~v100(constB154))),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22425, 1582, 22419])).
% 42.41/28.03 tff(22427,plain,
% 42.41/28.03 (v90(constB154, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22426, 22201])).
% 42.41/28.03 tff(22428,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22429,plain,
% 42.41/28.03 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22430,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)))),
% 42.41/28.03 inference(monotonicity,[status(thm)],[22429])).
% 42.41/28.03 tff(22431,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 42.41/28.03 inference(transitivity,[status(thm)],[22430, 22428])).
% 42.41/28.03 tff(22432,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22433,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22432, 22431])).
% 42.41/28.03 tff(22434,plain,
% 42.41/28.03 ((~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22433, 1600, 22019])).
% 42.41/28.03 tff(22435,plain,
% 42.41/28.03 ((~v90(constB154, bitIndex0)) | v90(constB155, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22434, 22031])).
% 42.41/28.03 tff(22436,plain,
% 42.41/28.03 (v90(constB155, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22435, 22427])).
% 42.41/28.03 tff(22437,assumption,(~v120(constB155)), introduced(assumption)).
% 42.41/28.03 tff(22438,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22439,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22440,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | v120(constB155)),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22439, 22438])).
% 42.41/28.03 tff(22441,plain,
% 42.41/28.03 ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22440, 1619, 22437])).
% 42.41/28.03 tff(22442,plain,
% 42.41/28.03 ($false),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22441, 22436, 22405, 22256])).
% 42.41/28.03 tff(22443,plain,((~v122(constB149)) | v120(constB155)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.03 tff(22444,plain,
% 42.41/28.03 (~v122(constB149)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22443, 22044])).
% 42.41/28.03 tff(22445,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22446,plain,
% 42.41/28.03 (((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0)) <=> ((~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22447,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0)))),
% 42.41/28.03 inference(monotonicity,[status(thm)],[22446])).
% 42.41/28.03 tff(22448,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0))),
% 42.41/28.03 inference(transitivity,[status(thm)],[22447, 22445])).
% 42.41/28.03 tff(22449,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22450,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB153, bitIndex0)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex0)),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22449, 22448])).
% 42.41/28.03 tff(22451,plain,
% 42.41/28.03 ((~v90(constB153, bitIndex0)) | v100(constB154) | v90(constB154, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22450, 1600, 21846])).
% 42.41/28.03 tff(22452,plain,
% 42.41/28.03 (v90(constB154, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22451, 22008, 21852])).
% 42.41/28.03 tff(22453,assumption,(v90(constB154, bitIndex0)), introduced(assumption)).
% 42.41/28.03 tff(22454,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22455,plain,
% 42.41/28.03 (((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0))) <=> (v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22456,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0))))),
% 42.41/28.03 inference(monotonicity,[status(thm)],[22455])).
% 42.41/28.03 tff(22457,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 42.41/28.03 inference(transitivity,[status(thm)],[22456, 22454])).
% 42.41/28.03 tff(22458,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22459,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22458, 22457])).
% 42.41/28.03 tff(22460,plain,
% 42.41/28.03 (v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0))),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22459, 465, 21846])).
% 42.41/28.03 tff(22461,plain,
% 42.41/28.03 (v90(constB153, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22460, 21852, 22453])).
% 42.41/28.03 tff(22462,plain,
% 42.41/28.03 (v90(constB152, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21497, 22461])).
% 42.41/28.03 tff(22463,assumption,(v90(constB154, bitIndex2)), introduced(assumption)).
% 42.41/28.03 tff(22464,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22465,plain,
% 42.41/28.03 (((~nextState(constB153, constB154)) | v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2))) <=> (v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22466,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2))))),
% 42.41/28.03 inference(monotonicity,[status(thm)],[22465])).
% 42.41/28.03 tff(22467,plain,
% 42.41/28.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2)))),
% 42.41/28.03 inference(transitivity,[status(thm)],[22466, 22464])).
% 42.41/28.03 tff(22468,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22469,plain,
% 42.41/28.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB153, bitIndex2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex2))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22468, 22467])).
% 42.41/28.03 tff(22470,plain,
% 42.41/28.03 (v90(constB153, bitIndex2) | v100(constB154) | (~v90(constB154, bitIndex2))),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22469, 423, 21846])).
% 42.41/28.03 tff(22471,plain,
% 42.41/28.03 (v90(constB153, bitIndex2)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22470, 21852, 22463])).
% 42.41/28.03 tff(22472,plain,
% 42.41/28.03 (v90(constB152, bitIndex2)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22274, 22471])).
% 42.41/28.03 tff(22473,assumption,(v90(constB154, bitIndex1)), introduced(assumption)).
% 42.41/28.03 tff(22474,plain,
% 42.41/28.03 (v90(constB153, bitIndex1)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21987, 21852, 22473])).
% 42.41/28.03 tff(22475,plain,
% 42.41/28.03 (v90(constB152, bitIndex1)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21734, 22474])).
% 42.41/28.03 tff(22476,assumption,(~v127(constB151, bitIndex0)), introduced(assumption)).
% 42.41/28.03 tff(22477,plain,
% 42.41/28.03 (~v129(constB152, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21396, 22476])).
% 42.41/28.03 tff(22478,plain,
% 42.41/28.03 (~v100(constB152)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21405, 22477])).
% 42.41/28.03 tff(22479,plain,
% 42.41/28.03 (v90(constB151, bitIndex2)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21771, 22478, 21736])).
% 42.41/28.03 tff(22480,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB151)) | (~v90(constB151, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB151)) | (~v90(constB151, bitIndex2)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22481,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB151)) | (~v90(constB151, bitIndex2)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22482,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB151)) | (~v90(constB151, bitIndex2))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22481, 22480])).
% 42.41/28.03 tff(22483,plain,
% 42.41/28.03 (~v122(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22482, 1347, 22479])).
% 42.41/28.03 tff(22484,plain,
% 42.41/28.03 (v90(constB151, bitIndex1)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21808, 22478, 21773])).
% 42.41/28.03 tff(22485,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB151)) | (~v90(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB151)) | (~v90(constB151, bitIndex1)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22486,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB151)) | (~v90(constB151, bitIndex1)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22487,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB151)) | (~v90(constB151, bitIndex1))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22486, 22485])).
% 42.41/28.03 tff(22488,plain,
% 42.41/28.03 (~v120(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22487, 1391, 22484])).
% 42.41/28.03 tff(22489,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB151)) | (~v90(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB151)) | (~v90(constB151, bitIndex1)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22490,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB151)) | (~v90(constB151, bitIndex1)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22491,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB151)) | (~v90(constB151, bitIndex1))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22490, 22489])).
% 42.41/28.03 tff(22492,plain,
% 42.41/28.03 (~v124(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22491, 1369, 22484])).
% 42.41/28.03 tff(22493,plain,
% 42.41/28.03 (v90(constB151, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22284, 22478, 21398])).
% 42.41/28.03 tff(22494,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB151)) | (~v90(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB151)) | (~v90(constB151, bitIndex0)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22495,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB151)) | (~v90(constB151, bitIndex0)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22496,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB151)) | (~v90(constB151, bitIndex0))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22495, 22494])).
% 42.41/28.03 tff(22497,plain,
% 42.41/28.03 (~v119(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22496, 11028, 22493])).
% 42.41/28.03 tff(22498,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB151)) | (~v90(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB151)) | (~v90(constB151, bitIndex0)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22499,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB151)) | (~v90(constB151, bitIndex0)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22500,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB151)) | (~v90(constB151, bitIndex0))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22499, 22498])).
% 42.41/28.03 tff(22501,plain,
% 42.41/28.03 (~v121(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22500, 11039, 22493])).
% 42.41/28.03 tff(22502,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB151)) | (~v90(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB151)) | (~v90(constB151, bitIndex0)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22503,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB151)) | (~v90(constB151, bitIndex0)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22504,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB151)) | (~v90(constB151, bitIndex0))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22503, 22502])).
% 42.41/28.03 tff(22505,plain,
% 42.41/28.03 (~v123(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22504, 11057, 22493])).
% 42.41/28.03 tff(22506,plain,
% 42.41/28.03 (~v110(constB152)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21437, 22478])).
% 42.41/28.03 tff(22507,plain,
% 42.41/28.03 (~v108(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21445, 22506])).
% 42.41/28.03 tff(22508,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v26(constB151)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22509,plain,
% 42.41/28.03 (((~v26(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v26(constB151)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22510,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v26(constB151))))),
% 42.41/28.03 inference(monotonicity,[status(thm)],[22509])).
% 42.41/28.03 tff(22511,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151)))),
% 42.41/28.03 inference(transitivity,[status(thm)],[22510, 22508])).
% 42.41/28.03 tff(22512,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22513,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22512, 22511])).
% 42.41/28.03 tff(22514,plain,
% 42.41/28.03 (~v26(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22513, 1925, 22507])).
% 42.41/28.03 tff(22515,plain,
% 42.41/28.03 (v26(constB151) | (~v130(constB151, bitIndex0))),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21714, 1552, 22476])).
% 42.41/28.03 tff(22516,plain,
% 42.41/28.03 (~v130(constB151, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22515, 22514])).
% 42.41/28.03 tff(22517,plain,
% 42.41/28.03 ($false),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21719, 1538, 22516, 22505, 22501, 22497, 22492, 22488, 22483])).
% 42.41/28.03 tff(22518,plain,(v127(constB151, bitIndex0) | (~v90(constB152, bitIndex2)) | (~v90(constB152, bitIndex1)) | (~v90(constB152, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.03 tff(22519,plain,
% 42.41/28.03 (v127(constB151, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22518, 22475, 22462, 22472])).
% 42.41/28.03 tff(22520,plain,
% 42.41/28.03 (v130(constB151, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21388, 22519])).
% 42.41/28.03 tff(22521,plain,
% 42.41/28.03 (~v122(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21372, 2327, 22520])).
% 42.41/28.03 tff(22522,plain,
% 42.41/28.03 (~v123(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22189, 1208, 22520])).
% 42.41/28.03 tff(22523,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB151)) | (~v130(constB151, bitIndex0)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22524,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB151)) | (~v130(constB151, bitIndex0)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22525,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB151)) | (~v130(constB151, bitIndex0))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22524, 22523])).
% 42.41/28.03 tff(22526,plain,
% 42.41/28.03 (~v120(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22525, 1826, 22520])).
% 42.41/28.03 tff(22527,plain,
% 42.41/28.03 (~v119(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22313, 893, 22520])).
% 42.41/28.03 tff(22528,assumption,(v100(constB152)), introduced(assumption)).
% 42.41/28.03 tff(22529,plain,
% 42.41/28.03 (v129(constB152, bitIndex1)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21780, 22528])).
% 42.41/28.03 tff(22530,plain,
% 42.41/28.03 (v127(constB151, bitIndex1)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21785, 22529])).
% 42.41/28.03 tff(22531,plain,
% 42.41/28.03 ((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[21792, 823, 21576])).
% 42.41/28.03 tff(22532,plain,
% 42.41/28.03 (v130(constB151, bitIndex1)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22531, 22530])).
% 42.41/28.03 tff(22533,plain,
% 42.41/28.03 (v129(constB152, bitIndex2) | (~v100(constB152))),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22288, 1452, 21736])).
% 42.41/28.03 tff(22534,plain,
% 42.41/28.03 (v129(constB152, bitIndex2)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22533, 22528])).
% 42.41/28.03 tff(22535,plain,
% 42.41/28.03 (v127(constB151, bitIndex2)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22293, 22534])).
% 42.41/28.03 tff(22536,plain,
% 42.41/28.03 ((~v127(constB151, bitIndex2)) | v130(constB151, bitIndex2)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22300, 1419, 21576])).
% 42.41/28.03 tff(22537,plain,
% 42.41/28.03 (v130(constB151, bitIndex2)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22536, 22535])).
% 42.41/28.03 tff(22538,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB151)) | (~v130(constB151, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB151)) | (~v130(constB151, bitIndex2)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22539,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB151)) | (~v130(constB151, bitIndex2)))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.03 tff(22540,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB151)) | (~v130(constB151, bitIndex2))),
% 42.41/28.03 inference(modus_ponens,[status(thm)],[22539, 22538])).
% 42.41/28.03 tff(22541,plain,
% 42.41/28.03 (~v124(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22540, 3868, 22537])).
% 42.41/28.03 tff(22542,plain,
% 42.41/28.03 (~v121(constB151)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22305, 1990, 22537])).
% 42.41/28.03 tff(22543,assumption,(~v120(constB151)), introduced(assumption)).
% 42.41/28.03 tff(22544,assumption,(~v119(constB151)), introduced(assumption)).
% 42.41/28.03 tff(22545,assumption,(~v123(constB151)), introduced(assumption)).
% 42.41/28.03 tff(22546,plain,
% 42.41/28.03 (v121(constB151) | v124(constB151) | (~v130(constB151, bitIndex1))),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22371, 1494, 22545, 21343, 22544, 22543])).
% 42.41/28.03 tff(22547,plain,
% 42.41/28.03 ($false),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22546, 22542, 22541, 22532])).
% 42.41/28.03 tff(22548,plain,((~v100(constB152)) | v123(constB151) | v122(constB151) | v119(constB151) | v120(constB151) | v26(constB151) | (~v90(constB152, bitIndex2)) | (~v90(constB152, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.03 tff(22549,plain,
% 42.41/28.03 ((~v100(constB152)) | v123(constB151) | v122(constB151) | v119(constB151) | v120(constB151) | (~v90(constB152, bitIndex2)) | (~v90(constB152, bitIndex1))),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22548, 21457])).
% 42.41/28.03 tff(22550,plain,
% 42.41/28.03 (~v100(constB152)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22549, 22527, 22472, 22475, 22526, 22522, 22521])).
% 42.41/28.03 tff(22551,plain,
% 42.41/28.03 (v90(constB151, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22284, 22550, 22462])).
% 42.41/28.03 tff(22552,plain,
% 42.41/28.03 (v90(constB150, bitIndex0)),
% 42.41/28.03 inference(unit_resolution,[status(thm)],[22154, 22551])).
% 42.41/28.03 tff(22553,assumption,(v120(constB149)), introduced(assumption)).
% 42.41/28.03 tff(22554,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB149) | (~v120(constB149)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB149) | (~v120(constB149)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22555,plain,
% 42.41/28.03 (((~v120(constB149)) | v118(constB149)) <=> (v118(constB149) | (~v120(constB149)))),
% 42.41/28.03 inference(rewrite,[status(thm)],[])).
% 42.41/28.03 tff(22556,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB149)) | v118(constB149))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB149) | (~v120(constB149))))),
% 42.41/28.03 inference(monotonicity,[status(thm)],[22555])).
% 42.41/28.03 tff(22557,plain,
% 42.41/28.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB149)) | v118(constB149))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB149) | (~v120(constB149)))),
% 42.41/28.03 inference(transitivity,[status(thm)],[22556, 22554])).
% 42.41/28.03 tff(22558,plain,
% 42.41/28.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB149)) | v118(constB149))),
% 42.41/28.03 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22559,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB149) | (~v120(constB149))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 42.41/28.04 tff(22560,plain,
% 42.41/28.04 (v118(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22559, 1630, 22553])).
% 42.41/28.04 tff(22561,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v118(constB149)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v118(constB149)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22562,plain,
% 42.41/28.04 (((~v118(constB149)) | v117(constB149)) <=> (v117(constB149) | (~v118(constB149)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22563,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v118(constB149))))),
% 42.41/28.04 inference(monotonicity,[status(thm)],[22562])).
% 42.41/28.04 tff(22564,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v118(constB149)))),
% 42.41/28.04 inference(transitivity,[status(thm)],[22563, 22561])).
% 42.41/28.04 tff(22565,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB149)) | v117(constB149))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22566,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v118(constB149))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22565, 22564])).
% 42.41/28.04 tff(22567,plain,
% 42.41/28.04 (v117(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22566, 511, 22560])).
% 42.41/28.04 tff(22568,plain,
% 42.41/28.04 (v116(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21130, 525, 22567])).
% 42.41/28.04 tff(22569,plain,
% 42.41/28.04 (v115(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21134, 539, 22568])).
% 42.41/28.04 tff(22570,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB149)) | (~v130(constB149, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB149)) | (~v130(constB149, bitIndex0)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22571,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB149)) | (~v130(constB149, bitIndex0)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22572,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB149)) | (~v130(constB149, bitIndex0))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22571, 22570])).
% 42.41/28.04 tff(22573,plain,
% 42.41/28.04 (~v130(constB149, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22572, 1826, 22553])).
% 42.41/28.04 tff(22574,plain,
% 42.41/28.04 (~v127(constB149, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22132, 22573])).
% 42.41/28.04 tff(22575,plain,
% 42.41/28.04 (~v129(constB150, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22137, 22574])).
% 42.41/28.04 tff(22576,assumption,(v90(constB150, bitIndex0)), introduced(assumption)).
% 42.41/28.04 tff(22577,plain,
% 42.41/28.04 (v129(constB150, bitIndex0) | (~v100(constB150))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22144, 952, 22576])).
% 42.41/28.04 tff(22578,plain,
% 42.41/28.04 (~v100(constB150)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22577, 22575])).
% 42.41/28.04 tff(22579,plain,
% 42.41/28.04 (~v110(constB150)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21207, 22578])).
% 42.41/28.04 tff(22580,plain,
% 42.41/28.04 (~v108(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21175, 22579])).
% 42.41/28.04 tff(22581,plain,
% 42.41/28.04 (~v112(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21164, 746, 22580])).
% 42.41/28.04 tff(22582,plain,
% 42.41/28.04 (~v113(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21157, 22581])).
% 42.41/28.04 tff(22583,plain,
% 42.41/28.04 (~v114(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21148, 567, 22582])).
% 42.41/28.04 tff(22584,plain,
% 42.41/28.04 ($false),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21141, 553, 22583, 22569])).
% 42.41/28.04 tff(22585,plain,((~v120(constB149)) | (~v90(constB150, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.04 tff(22586,plain,
% 42.41/28.04 (~v120(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22585, 22552])).
% 42.41/28.04 tff(22587,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB153)) | (~v90(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB153)) | (~v90(constB153, bitIndex2)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22588,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB153)) | (~v90(constB153, bitIndex2)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22589,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB153)) | (~v90(constB153, bitIndex2))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22588, 22587])).
% 42.41/28.04 tff(22590,plain,
% 42.41/28.04 (~v120(constB153)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22589, 7601, 22471])).
% 42.41/28.04 tff(22591,assumption,(v123(constB149)), introduced(assumption)).
% 42.41/28.04 tff(22592,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB149)) | v115(constB149))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22593,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB149)) | v115(constB149))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22594,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB149)) | v115(constB149)),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22593, 22592])).
% 42.41/28.04 tff(22595,plain,
% 42.41/28.04 (v115(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22594, 990, 22591])).
% 42.41/28.04 tff(22596,plain,
% 42.41/28.04 (v114(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21141, 553, 22595])).
% 42.41/28.04 tff(22597,plain,
% 42.41/28.04 (v113(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21148, 567, 22596])).
% 42.41/28.04 tff(22598,plain,
% 42.41/28.04 (v112(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21157, 22597])).
% 42.41/28.04 tff(22599,plain,
% 42.41/28.04 (v108(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21164, 746, 22598])).
% 42.41/28.04 tff(22600,plain,
% 42.41/28.04 (v110(constB150)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21175, 22599])).
% 42.41/28.04 tff(22601,plain,
% 42.41/28.04 (v100(constB150)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21207, 22600])).
% 42.41/28.04 tff(22602,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB149)) | v130(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB149)) | v130(constB149, bitIndex2))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22603,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB149)) | v130(constB149, bitIndex2))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22604,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB149)) | v130(constB149, bitIndex2)),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22603, 22602])).
% 42.41/28.04 tff(22605,plain,
% 42.41/28.04 (v130(constB149, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22604, 1074, 22591])).
% 42.41/28.04 tff(22606,plain,
% 42.41/28.04 (v127(constB149, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22064, 22605])).
% 42.41/28.04 tff(22607,plain,
% 42.41/28.04 (v129(constB150, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22069, 22606])).
% 42.41/28.04 tff(22608,plain,
% 42.41/28.04 (v90(constB150, bitIndex2) | (~v100(constB150))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22076, 641, 22607])).
% 42.41/28.04 tff(22609,plain,
% 42.41/28.04 (v90(constB150, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22608, 22601])).
% 42.41/28.04 tff(22610,plain,
% 42.41/28.04 (v90(constB151, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22086, 22609])).
% 42.41/28.04 tff(22611,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB149)) | v130(constB149, bitIndex1))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22612,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB149)) | v130(constB149, bitIndex1))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22613,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB149)) | v130(constB149, bitIndex1)),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22612, 22611])).
% 42.41/28.04 tff(22614,plain,
% 42.41/28.04 (v130(constB149, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22613, 1130, 22591])).
% 42.41/28.04 tff(22615,plain,
% 42.41/28.04 (v127(constB149, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21319, 22614])).
% 42.41/28.04 tff(22616,plain,
% 42.41/28.04 (v129(constB150, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21324, 22615])).
% 42.41/28.04 tff(22617,plain,
% 42.41/28.04 (v90(constB150, bitIndex1) | (~v100(constB150))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21331, 1174, 22616])).
% 42.41/28.04 tff(22618,plain,
% 42.41/28.04 (v90(constB150, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22617, 22601])).
% 42.41/28.04 tff(22619,plain,
% 42.41/28.04 (v90(constB151, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21341, 22618])).
% 42.41/28.04 tff(22620,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB149)) | (~v130(constB149, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB149)) | (~v130(constB149, bitIndex0)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22621,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB149)) | (~v130(constB149, bitIndex0)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22622,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB149)) | (~v130(constB149, bitIndex0))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22621, 22620])).
% 42.41/28.04 tff(22623,plain,
% 42.41/28.04 (~v130(constB149, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22622, 1208, 22591])).
% 42.41/28.04 tff(22624,plain,
% 42.41/28.04 (~v127(constB149, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22132, 22623])).
% 42.41/28.04 tff(22625,plain,
% 42.41/28.04 (~v129(constB150, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22137, 22624])).
% 42.41/28.04 tff(22626,plain,
% 42.41/28.04 ((~v90(constB150, bitIndex0)) | (~v100(constB150))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22144, 952, 22625])).
% 42.41/28.04 tff(22627,plain,
% 42.41/28.04 (~v90(constB150, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22626, 22601])).
% 42.41/28.04 tff(22628,plain,
% 42.41/28.04 (~v90(constB151, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22154, 22627])).
% 42.41/28.04 tff(22629,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB151, bitIndex0) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex2)) | v125(constB151))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB151, bitIndex0) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex2)) | v125(constB151))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22630,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB151, bitIndex0) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex2)) | v125(constB151))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22631,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB151, bitIndex0) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex2)) | v125(constB151)),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22630, 22629])).
% 42.41/28.04 tff(22632,plain,
% 42.41/28.04 (v125(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22631, 1252, 22628, 22619, 22610])).
% 42.41/28.04 tff(22633,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB151)) | v113(constB151))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22634,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB151)) | v113(constB151))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22635,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB151)) | v113(constB151)),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22634, 22633])).
% 42.41/28.04 tff(22636,plain,
% 42.41/28.04 (v113(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22635, 1263, 22632])).
% 42.41/28.04 tff(22637,plain,
% 42.41/28.04 (v112(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21461, 22636])).
% 42.41/28.04 tff(22638,plain,
% 42.41/28.04 (v108(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21452, 746, 22637])).
% 42.41/28.04 tff(22639,plain,
% 42.41/28.04 (v110(constB152)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21445, 22638])).
% 42.41/28.04 tff(22640,plain,
% 42.41/28.04 (v100(constB152)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21437, 22639])).
% 42.41/28.04 tff(22641,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB151)) | (~v90(constB151, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB151)) | (~v90(constB151, bitIndex2)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22642,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB151)) | (~v90(constB151, bitIndex2)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22643,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB151)) | (~v90(constB151, bitIndex2))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22642, 22641])).
% 42.41/28.04 tff(22644,plain,
% 42.41/28.04 (~v121(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22643, 1336, 22610])).
% 42.41/28.04 tff(22645,plain,
% 42.41/28.04 (~v124(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22491, 1369, 22619])).
% 42.41/28.04 tff(22646,plain,
% 42.41/28.04 (~v120(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22487, 1391, 22619])).
% 42.41/28.04 tff(22647,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB151)) | (~v90(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB151)) | (~v90(constB151, bitIndex1)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22648,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB151)) | (~v90(constB151, bitIndex1)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22649,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB151)) | (~v90(constB151, bitIndex1))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 42.41/28.04 tff(22650,plain,
% 42.41/28.04 (~v119(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22649, 1380, 22619])).
% 42.41/28.04 tff(22651,plain,
% 42.41/28.04 (~v122(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22482, 1347, 22610])).
% 42.41/28.04 tff(22652,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB151)) | (~v90(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB151)) | (~v90(constB151, bitIndex1)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22653,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB151)) | (~v90(constB151, bitIndex1)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22654,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB151)) | (~v90(constB151, bitIndex1))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22653, 22652])).
% 42.41/28.04 tff(22655,plain,
% 42.41/28.04 (~v123(constB151)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22654, 1358, 22619])).
% 42.41/28.04 tff(22656,plain,
% 42.41/28.04 (~v130(constB151, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22329, 1405, 22655, 22651, 22650, 22646, 22645, 22644])).
% 42.41/28.04 tff(22657,plain,
% 42.41/28.04 (~v127(constB151, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22301, 22656])).
% 42.41/28.04 tff(22658,plain,
% 42.41/28.04 (~v129(constB152, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22293, 22657])).
% 42.41/28.04 tff(22659,plain,
% 42.41/28.04 ((~v90(constB152, bitIndex2)) | (~v100(constB152))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22288, 1452, 22658])).
% 42.41/28.04 tff(22660,plain,
% 42.41/28.04 (~v90(constB152, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22659, 22640])).
% 42.41/28.04 tff(22661,plain,
% 42.41/28.04 (~v90(constB153, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22274, 22660])).
% 42.41/28.04 tff(22662,plain,
% 42.41/28.04 (v130(constB151, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21719, 1538, 22655, 22651, 22650, 22646, 22645, 22644])).
% 42.41/28.04 tff(22663,plain,
% 42.41/28.04 (v127(constB151, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22359, 22662])).
% 42.41/28.04 tff(22664,plain,
% 42.41/28.04 (v129(constB152, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21710, 22663])).
% 42.41/28.04 tff(22665,plain,
% 42.41/28.04 (v90(constB152, bitIndex0) | (~v100(constB152))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21704, 1582, 22664])).
% 42.41/28.04 tff(22666,plain,
% 42.41/28.04 (v90(constB152, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22665, 22640])).
% 42.41/28.04 tff(22667,plain,
% 42.41/28.04 (v90(constB153, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21573, 22666])).
% 42.41/28.04 tff(22668,plain,
% 42.41/28.04 (~v130(constB151, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22371, 1494, 22655, 22651, 22650, 22646, 22645, 22644])).
% 42.41/28.04 tff(22669,plain,
% 42.41/28.04 (~v127(constB151, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21793, 22668])).
% 42.41/28.04 tff(22670,plain,
% 42.41/28.04 (~v129(constB152, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21785, 22669])).
% 42.41/28.04 tff(22671,plain,
% 42.41/28.04 ((~v90(constB152, bitIndex1)) | (~v100(constB152))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21779, 868, 22670])).
% 42.41/28.04 tff(22672,plain,
% 42.41/28.04 (~v90(constB152, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22671, 22640])).
% 42.41/28.04 tff(22673,plain,
% 42.41/28.04 (~v90(constB153, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21734, 22672])).
% 42.41/28.04 tff(22674,plain,
% 42.41/28.04 ($false),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21533, 22673, 22667, 22661])).
% 42.41/28.04 tff(22675,plain,((~v123(constB149)) | v120(constB153)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.04 tff(22676,plain,
% 42.41/28.04 (~v123(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22675, 22590])).
% 42.41/28.04 tff(22677,plain,
% 42.41/28.04 (v90(constB151, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21808, 22550, 22475])).
% 42.41/28.04 tff(22678,plain,
% 42.41/28.04 (v90(constB150, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22120, 22677])).
% 42.41/28.04 tff(22679,assumption,(~v90(constB149, bitIndex1)), introduced(assumption)).
% 42.41/28.04 tff(22680,plain,
% 42.41/28.04 (~v90(constB148, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20955, 22679])).
% 42.41/28.04 tff(22681,assumption,(v90(constB150, bitIndex1)), introduced(assumption)).
% 42.41/28.04 tff(22682,plain,
% 42.41/28.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22683,plain,
% 42.41/28.04 (((~nextState(constB149, constB150)) | v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1))) <=> (v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22684,plain,
% 42.41/28.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1))))),
% 42.41/28.04 inference(monotonicity,[status(thm)],[22683])).
% 42.41/28.04 tff(22685,plain,
% 42.41/28.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1)))),
% 42.41/28.04 inference(transitivity,[status(thm)],[22684, 22682])).
% 42.41/28.04 tff(22686,plain,
% 42.41/28.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22687,plain,
% 42.41/28.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB149, bitIndex1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex1))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22686, 22685])).
% 42.41/28.04 tff(22688,plain,
% 42.41/28.04 (v90(constB149, bitIndex1) | v100(constB150) | (~v90(constB150, bitIndex1))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22687, 444, 21168])).
% 42.41/28.04 tff(22689,plain,
% 42.41/28.04 (v100(constB150)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22688, 22679, 22681])).
% 42.41/28.04 tff(22690,plain,
% 42.41/28.04 (v129(constB150, bitIndex1) | (~v100(constB150))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22110, 868, 22681])).
% 42.41/28.04 tff(22691,plain,
% 42.41/28.04 (v129(constB150, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22690, 22689])).
% 42.41/28.04 tff(22692,plain,
% 42.41/28.04 (v127(constB149, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22103, 22691])).
% 42.41/28.04 tff(22693,plain,
% 42.41/28.04 (v130(constB149, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22098, 22692])).
% 42.41/28.04 tff(22694,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB149)) | (~v130(constB149, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB149)) | (~v130(constB149, bitIndex1)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22695,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB149)) | (~v130(constB149, bitIndex1)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22696,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB149)) | (~v130(constB149, bitIndex1))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22695, 22694])).
% 42.41/28.04 tff(22697,plain,
% 42.41/28.04 (~v119(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22696, 809, 22693])).
% 42.41/28.04 tff(22698,plain,
% 42.41/28.04 (v129(constB150, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22577, 22689])).
% 42.41/28.04 tff(22699,plain,
% 42.41/28.04 (v127(constB149, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22137, 22698])).
% 42.41/28.04 tff(22700,plain,
% 42.41/28.04 (v130(constB149, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22132, 22699])).
% 42.41/28.04 tff(22701,plain,
% 42.41/28.04 (~v123(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22622, 1208, 22700])).
% 42.41/28.04 tff(22702,plain,
% 42.41/28.04 (~v122(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22090, 2281, 22693])).
% 42.41/28.04 tff(22703,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB149)) | v90(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB149)) | v90(constB149, bitIndex1))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22704,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB149)) | v90(constB149, bitIndex1))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22705,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB149)) | v90(constB149, bitIndex1)),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22704, 22703])).
% 42.41/28.04 tff(22706,plain,
% 42.41/28.04 (~v121(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22705, 4128, 22679])).
% 42.41/28.04 tff(22707,plain,
% 42.41/28.04 (~v120(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22572, 1826, 22700])).
% 42.41/28.04 tff(22708,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex1)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22709,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex1)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22710,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, bitIndex1))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22709, 22708])).
% 42.41/28.04 tff(22711,plain,
% 42.41/28.04 (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22710, 1494, 22693])).
% 42.41/28.04 tff(22712,plain,
% 42.41/28.04 (v124(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22711, 22707, 22706, 22702, 22701, 22697])).
% 42.41/28.04 tff(22713,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB149)) | v90(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB149)) | v90(constB149, bitIndex0))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22714,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB149)) | v90(constB149, bitIndex0))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22715,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB149)) | v90(constB149, bitIndex0)),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22714, 22713])).
% 42.41/28.04 tff(22716,plain,
% 42.41/28.04 (v90(constB149, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22715, 10973, 22712])).
% 42.41/28.04 tff(22717,plain,
% 42.41/28.04 (v90(constB148, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20941, 22716])).
% 42.41/28.04 tff(22718,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB149)) | v90(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB149)) | v90(constB149, bitIndex2))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22719,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB149)) | v90(constB149, bitIndex2))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22720,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB149)) | v90(constB149, bitIndex2)),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22719, 22718])).
% 42.41/28.04 tff(22721,plain,
% 42.41/28.04 (v90(constB149, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22720, 7573, 22712])).
% 42.41/28.04 tff(22722,plain,
% 42.41/28.04 (v90(constB148, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20992, 22721])).
% 42.41/28.04 tff(22723,plain,
% 42.41/28.04 (v100(constB148)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20861, 22722, 22717, 22680])).
% 42.41/28.04 tff(22724,plain,
% 42.41/28.04 (v129(constB148, bitIndex2) | (~v100(constB148))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20890, 1452, 22722])).
% 42.41/28.04 tff(22725,plain,
% 42.41/28.04 (v129(constB148, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22724, 22723])).
% 42.41/28.04 tff(22726,plain,
% 42.41/28.04 (v127(constB147, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20423, 22725])).
% 42.41/28.04 tff(22727,plain,
% 42.41/28.04 (v130(constB147, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20415, 22726])).
% 42.41/28.04 tff(22728,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB147)) | (~v130(constB147, bitIndex2)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22729,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB147)) | (~v130(constB147, bitIndex2)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22730,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB147)) | (~v130(constB147, bitIndex2))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22729, 22728])).
% 42.41/28.04 tff(22731,plain,
% 42.41/28.04 (~v124(constB147)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22730, 3868, 22727])).
% 42.41/28.04 tff(22732,plain,
% 42.41/28.04 (~v121(constB147)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20979, 1990, 22727])).
% 42.41/28.04 tff(22733,plain,
% 42.41/28.04 (v129(constB148, bitIndex0) | (~v100(constB148))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20914, 952, 22717])).
% 42.41/28.04 tff(22734,plain,
% 42.41/28.04 (v129(constB148, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22733, 22723])).
% 42.41/28.04 tff(22735,plain,
% 42.41/28.04 (v127(constB147, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20907, 22734])).
% 42.41/28.04 tff(22736,plain,
% 42.41/28.04 (v130(constB147, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20902, 22735])).
% 42.41/28.04 tff(22737,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB147)) | (~v130(constB147, bitIndex0)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22738,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB147)) | (~v130(constB147, bitIndex0)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22739,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB147)) | (~v130(constB147, bitIndex0))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22738, 22737])).
% 42.41/28.04 tff(22740,plain,
% 42.41/28.04 (~v122(constB147)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22739, 2327, 22736])).
% 42.41/28.04 tff(22741,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB147)) | (~v130(constB147, bitIndex0)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22742,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB147)) | (~v130(constB147, bitIndex0)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22743,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB147)) | (~v130(constB147, bitIndex0))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22742, 22741])).
% 42.41/28.04 tff(22744,plain,
% 42.41/28.04 (~v123(constB147)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22743, 1208, 22736])).
% 42.41/28.04 tff(22745,plain,
% 42.41/28.04 (~v120(constB147)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20894, 1826, 22736])).
% 42.41/28.04 tff(22746,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB147)) | (~v130(constB147, bitIndex0)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22747,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB147)) | (~v130(constB147, bitIndex0)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22748,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB147)) | (~v130(constB147, bitIndex0))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22747, 22746])).
% 42.41/28.04 tff(22749,plain,
% 42.41/28.04 (~v119(constB147)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22748, 893, 22736])).
% 42.41/28.04 tff(22750,plain,
% 42.41/28.04 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex2)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22751,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex2)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22752,plain,
% 42.41/28.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex2))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22751, 22750])).
% 42.41/28.04 tff(22753,plain,
% 42.41/28.04 (v121(constB147) | v124(constB147)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22752, 1405, 22727, 22749, 22745, 22744, 22740])).
% 42.41/28.04 tff(22754,plain,
% 42.41/28.04 ($false),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22753, 22732, 22731])).
% 42.41/28.04 tff(22755,plain,(v90(constB149, bitIndex1) | (~v90(constB150, bitIndex0)) | (~v90(constB150, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.04 tff(22756,plain,
% 42.41/28.04 (v90(constB149, bitIndex1)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22755, 22678, 22552])).
% 42.41/28.04 tff(22757,plain,
% 42.41/28.04 (~v119(constB149)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21216, 1380, 22756])).
% 42.41/28.04 tff(22758,plain,
% 42.41/28.04 (~v130(constB149, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21234, 22757, 20961, 22676, 22586])).
% 42.41/28.04 tff(22759,plain,
% 42.41/28.04 (~v127(constB149, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21242, 22758])).
% 42.41/28.04 tff(22760,plain,
% 42.41/28.04 (~v129(constB150, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21247, 22759])).
% 42.41/28.04 tff(22761,plain,
% 42.41/28.04 (v90(constB151, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21771, 22550, 22472])).
% 42.41/28.04 tff(22762,plain,
% 42.41/28.04 (v90(constB150, bitIndex2)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21279, 22761])).
% 42.41/28.04 tff(22763,plain,
% 42.41/28.04 (v129(constB150, bitIndex2) | (~v100(constB150))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[21251, 1452, 22762])).
% 42.41/28.04 tff(22764,plain,
% 42.41/28.04 (~v100(constB150)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22763, 22760])).
% 42.41/28.04 tff(22765,plain,
% 42.41/28.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22766,plain,
% 42.41/28.04 (((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))) <=> (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22767,plain,
% 42.41/28.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))))),
% 42.41/28.04 inference(monotonicity,[status(thm)],[22766])).
% 42.41/28.04 tff(22768,plain,
% 42.41/28.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 42.41/28.04 inference(transitivity,[status(thm)],[22767, 22765])).
% 42.41/28.04 tff(22769,plain,
% 42.41/28.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 42.41/28.04 inference(quant_inst,[status(thm)],[])).
% 42.41/28.04 tff(22770,plain,
% 42.41/28.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 42.41/28.04 inference(modus_ponens,[status(thm)],[22769, 22768])).
% 42.41/28.04 tff(22771,plain,
% 42.41/28.04 (v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22770, 465, 21168])).
% 42.41/28.04 tff(22772,plain,
% 42.41/28.04 (v90(constB149, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[22771, 22764, 22552])).
% 42.41/28.04 tff(22773,plain,
% 42.41/28.04 (v90(constB148, bitIndex0)),
% 42.41/28.04 inference(unit_resolution,[status(thm)],[20941, 22772])).
% 42.41/28.04 tff(22774,plain,
% 42.41/28.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22775,plain,
% 42.41/28.04 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1)))),
% 42.41/28.04 inference(rewrite,[status(thm)],[])).
% 42.41/28.04 tff(22776,plain,
% 42.41/28.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1))))),
% 42.41/28.05 inference(monotonicity,[status(thm)],[22775])).
% 42.41/28.05 tff(22777,plain,
% 42.41/28.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1)))),
% 42.41/28.05 inference(transitivity,[status(thm)],[22776, 22774])).
% 42.41/28.05 tff(22778,plain,
% 42.41/28.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22779,plain,
% 42.41/28.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex1))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22778, 22777])).
% 42.41/28.05 tff(22780,plain,
% 42.41/28.05 (v90(constB148, bitIndex1) | v100(constB149) | (~v90(constB149, bitIndex1))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22779, 444, 20921])).
% 42.41/28.05 tff(22781,plain,
% 42.41/28.05 (v90(constB148, bitIndex1) | (~v90(constB149, bitIndex1))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22780, 20933])).
% 42.41/28.05 tff(22782,plain,
% 42.41/28.05 (v90(constB148, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22781, 22756])).
% 42.41/28.05 tff(22783,assumption,(~v100(constB150)), introduced(assumption)).
% 42.41/28.05 tff(22784,plain,
% 42.41/28.05 (~v110(constB150)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21207, 22783])).
% 42.41/28.05 tff(22785,plain,
% 42.41/28.05 (~v108(constB149)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21175, 22784])).
% 42.41/28.05 tff(22786,plain,
% 42.41/28.05 (~v112(constB149)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21164, 746, 22785])).
% 42.41/28.05 tff(22787,plain,
% 42.41/28.05 (~v113(constB149)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21157, 22786])).
% 42.41/28.05 tff(22788,plain,
% 42.41/28.05 (~v114(constB149)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21148, 567, 22787])).
% 42.41/28.05 tff(22789,assumption,(~v90(constB149, bitIndex2)), introduced(assumption)).
% 42.41/28.05 tff(22790,plain,
% 42.41/28.05 (v90(constB149, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22771, 22783, 22576])).
% 42.41/28.05 tff(22791,assumption,(v90(constB149, bitIndex1)), introduced(assumption)).
% 42.41/28.05 tff(22792,plain,
% 42.41/28.05 ((~v90(constB149, bitIndex0)) | v90(constB149, bitIndex2) | v122(constB149)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21019, 2129, 22791])).
% 42.41/28.05 tff(22793,plain,
% 42.41/28.05 (v122(constB149)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22792, 22790, 22789])).
% 42.41/28.05 tff(22794,plain,
% 42.41/28.05 (v116(constB149)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22048, 2140, 22793])).
% 42.41/28.05 tff(22795,plain,
% 42.41/28.05 (v115(constB149)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21134, 539, 22794])).
% 42.41/28.05 tff(22796,plain,
% 42.41/28.05 ($false),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21141, 553, 22795, 22788])).
% 42.41/28.05 tff(22797,plain,(v100(constB150) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | (~v90(constB150, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.05 tff(22798,plain,
% 42.41/28.05 (v90(constB149, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22797, 22764, 22552, 22756])).
% 42.41/28.05 tff(22799,plain,
% 42.41/28.05 (v90(constB148, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20992, 22798])).
% 42.41/28.05 tff(22800,plain,
% 42.41/28.05 (v100(constB150)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22771, 21116, 22576])).
% 42.41/28.05 tff(22801,assumption,(v90(constB150, bitIndex2)), introduced(assumption)).
% 42.41/28.05 tff(22802,plain,
% 42.41/28.05 (v129(constB150, bitIndex2) | (~v100(constB150))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21251, 1452, 22801])).
% 42.41/28.05 tff(22803,plain,
% 42.41/28.05 (v129(constB150, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22802, 22800])).
% 42.41/28.05 tff(22804,plain,
% 42.41/28.05 (v127(constB149, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21247, 22803])).
% 42.41/28.05 tff(22805,plain,
% 42.41/28.05 (v130(constB149, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21242, 22804])).
% 42.41/28.05 tff(22806,plain,
% 42.41/28.05 ($false),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21227, 1990, 22805, 21120])).
% 42.41/28.05 tff(22807,plain,((~v120(constB147)) | (~v90(constB150, bitIndex2)) | (~v90(constB150, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.05 tff(22808,plain,
% 42.41/28.05 (~v120(constB147)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22807, 22552, 22762])).
% 42.41/28.05 tff(22809,plain,
% 42.41/28.05 (v100(constB148)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20884, 20381, 21024])).
% 42.41/28.05 tff(22810,plain,
% 42.41/28.05 (v129(constB148, bitIndex0) | (~v100(constB148))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20914, 952, 20847])).
% 42.41/28.05 tff(22811,plain,
% 42.41/28.05 (v129(constB148, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22810, 22809])).
% 42.41/28.05 tff(22812,plain,
% 42.41/28.05 (v127(constB147, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20907, 22811])).
% 42.41/28.05 tff(22813,plain,
% 42.41/28.05 (v130(constB147, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20902, 22812])).
% 42.41/28.05 tff(22814,plain,
% 42.41/28.05 (~v123(constB147)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22743, 1208, 22813])).
% 42.41/28.05 tff(22815,plain,
% 42.41/28.05 (v129(constB148, bitIndex1) | (~v100(constB148))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21049, 868, 21024])).
% 42.41/28.05 tff(22816,plain,
% 42.41/28.05 (v129(constB148, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22815, 22809])).
% 42.41/28.05 tff(22817,plain,
% 42.41/28.05 (v127(constB147, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21055, 22816])).
% 42.41/28.05 tff(22818,plain,
% 42.41/28.05 (v130(constB147, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21063, 22817])).
% 42.41/28.05 tff(22819,plain,
% 42.41/28.05 (~v119(constB147)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21083, 809, 22818])).
% 42.41/28.05 tff(22820,plain,
% 42.41/28.05 (v129(constB148, bitIndex2) | (~v100(constB148))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20890, 1452, 20845])).
% 42.41/28.05 tff(22821,plain,
% 42.41/28.05 (v129(constB148, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22820, 22809])).
% 42.41/28.05 tff(22822,plain,
% 42.41/28.05 (v127(constB147, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20423, 22821])).
% 42.41/28.05 tff(22823,plain,
% 42.41/28.05 (v130(constB147, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20415, 22822])).
% 42.41/28.05 tff(22824,plain,
% 42.41/28.05 (~v124(constB147)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22730, 3868, 22823])).
% 42.41/28.05 tff(22825,plain,
% 42.41/28.05 (v90(constB147, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20397, 20381, 20388, 20133])).
% 42.41/28.05 tff(22826,assumption,(~v124(constB147)), introduced(assumption)).
% 42.41/28.05 tff(22827,plain,
% 42.41/28.05 ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20851, 15368, 22826])).
% 42.41/28.05 tff(22828,plain,
% 42.41/28.05 (~v90(constB147, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22827, 22825, 20381])).
% 42.41/28.05 tff(22829,assumption,(~v123(constB147)), introduced(assumption)).
% 42.41/28.05 tff(22830,plain,
% 42.41/28.05 (v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20866, 979, 22829])).
% 42.41/28.05 tff(22831,plain,
% 42.41/28.05 ($false),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22830, 22828, 22825, 20381])).
% 42.41/28.05 tff(22832,plain,(v90(constB147, bitIndex1) | v123(constB147) | v124(constB147) | v119(constB147) | v120(constB147)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.05 tff(22833,plain,
% 42.41/28.05 ($false),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22832, 22824, 22819, 20133, 20381, 22814])).
% 42.41/28.05 tff(22834,plain,(v90(constB147, bitIndex1) | v120(constB147) | (~v90(constB148, bitIndex2)) | (~v90(constB148, bitIndex0)) | (~v90(constB148, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.05 tff(22835,plain,
% 42.41/28.05 (v90(constB147, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22834, 22808, 22799, 22773, 22782])).
% 42.41/28.05 tff(22836,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB147)) | (~v90(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB147)) | (~v90(constB147, bitIndex1)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22837,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB147)) | (~v90(constB147, bitIndex1)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22838,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB147)) | (~v90(constB147, bitIndex1))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22837, 22836])).
% 42.41/28.05 tff(22839,plain,
% 42.41/28.05 (~v123(constB147)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22838, 1358, 22835])).
% 42.41/28.05 tff(22840,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB147)) | (~v90(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB147)) | (~v90(constB147, bitIndex1)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22841,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB147)) | (~v90(constB147, bitIndex1)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22842,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB147)) | (~v90(constB147, bitIndex1))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 42.41/28.05 tff(22843,plain,
% 42.41/28.05 (~v119(constB147)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22842, 1380, 22835])).
% 42.41/28.05 tff(22844,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB147)) | (~v90(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB147)) | (~v90(constB147, bitIndex1)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22845,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB147)) | (~v90(constB147, bitIndex1)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22846,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB147)) | (~v90(constB147, bitIndex1))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22845, 22844])).
% 42.41/28.05 tff(22847,plain,
% 42.41/28.05 (~v124(constB147)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22846, 1369, 22835])).
% 42.41/28.05 tff(22848,assumption,(v90(constB147, bitIndex1)), introduced(assumption)).
% 42.41/28.05 tff(22849,assumption,(~v121(constB147)), introduced(assumption)).
% 42.41/28.05 tff(22850,assumption,(~v122(constB147)), introduced(assumption)).
% 42.41/28.05 tff(22851,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB147, bitIndex0)) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v122(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB147, bitIndex0)) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v122(constB147))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22852,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB147, bitIndex0)) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v122(constB147))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22853,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB147, bitIndex0)) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v122(constB147)),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22852, 22851])).
% 42.41/28.05 tff(22854,plain,
% 42.41/28.05 ((~v90(constB147, bitIndex0)) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22853, 2129, 22850])).
% 42.41/28.05 tff(22855,plain,
% 42.41/28.05 (~v90(constB147, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22854, 20382, 22848])).
% 42.41/28.05 tff(22856,plain,
% 42.41/28.05 (v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21040, 1870, 22849])).
% 42.41/28.05 tff(22857,plain,
% 42.41/28.05 ($false),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22856, 22855, 20382, 22848])).
% 42.41/28.05 tff(22858,plain,(v90(constB147, bitIndex2) | (~v90(constB147, bitIndex1)) | v121(constB147) | v122(constB147)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.05 tff(22859,plain,
% 42.41/28.05 (v122(constB147)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22858, 20382, 22849, 22848])).
% 42.41/28.05 tff(22860,plain,
% 42.41/28.05 (v100(constB148)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20843, 20382, 20845])).
% 42.41/28.05 tff(22861,plain,
% 42.41/28.05 (v129(constB148, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22810, 22860])).
% 42.41/28.05 tff(22862,plain,
% 42.41/28.05 (v127(constB147, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20907, 22861])).
% 42.41/28.05 tff(22863,plain,
% 42.41/28.05 (v130(constB147, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20902, 22862])).
% 42.41/28.05 tff(22864,plain,
% 42.41/28.05 ($false),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22739, 2327, 22863, 22859])).
% 42.41/28.05 tff(22865,plain,(v90(constB147, bitIndex2) | (~v90(constB148, bitIndex0)) | v121(constB147) | (~v90(constB147, bitIndex1)) | (~v90(constB148, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.05 tff(22866,plain,
% 42.41/28.05 (v90(constB147, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22865, 22773, 21085, 22835, 22799])).
% 42.41/28.05 tff(22867,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB147)) | (~v90(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB147)) | (~v90(constB147, bitIndex2)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22868,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB147)) | (~v90(constB147, bitIndex2)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22869,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB147)) | (~v90(constB147, bitIndex2))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22868, 22867])).
% 42.41/28.05 tff(22870,plain,
% 42.41/28.05 (~v122(constB147)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22869, 1347, 22866])).
% 42.41/28.05 tff(22871,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex1)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22872,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex1)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22873,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex1))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22872, 22871])).
% 42.41/28.05 tff(22874,plain,
% 42.41/28.05 (v119(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, bitIndex1))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22873, 1494, 22808, 21085])).
% 42.41/28.05 tff(22875,plain,
% 42.41/28.05 (~v130(constB147, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22874, 22870, 22847, 22843, 22839])).
% 42.41/28.05 tff(22876,plain,
% 42.41/28.05 (~v127(constB147, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21063, 22875])).
% 42.41/28.05 tff(22877,plain,
% 42.41/28.05 (~v129(constB148, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21055, 22876])).
% 42.41/28.05 tff(22878,plain,
% 42.41/28.05 (v129(constB148, bitIndex1) | (~v100(constB148))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[21049, 868, 22782])).
% 42.41/28.05 tff(22879,plain,
% 42.41/28.05 (~v100(constB148)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22878, 22877])).
% 42.41/28.05 tff(22880,plain,
% 42.41/28.05 (v90(constB147, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20807, 22879, 22773])).
% 42.41/28.05 tff(22881,plain,
% 42.41/28.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22882,plain,
% 42.41/28.05 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22883,plain,
% 42.41/28.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0))))),
% 42.41/28.05 inference(monotonicity,[status(thm)],[22882])).
% 42.41/28.05 tff(22884,plain,
% 42.41/28.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0)))),
% 42.41/28.05 inference(transitivity,[status(thm)],[22883, 22881])).
% 42.41/28.05 tff(22885,plain,
% 42.41/28.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22886,plain,
% 42.41/28.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex0))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22885, 22884])).
% 42.41/28.05 tff(22887,plain,
% 42.41/28.05 (v90(constB146, bitIndex0) | v100(constB147) | (~v90(constB147, bitIndex0))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22886, 465, 20107])).
% 42.41/28.05 tff(22888,plain,
% 42.41/28.05 (v90(constB146, bitIndex0) | (~v90(constB147, bitIndex0))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22887, 20119])).
% 42.41/28.05 tff(22889,plain,
% 42.41/28.05 (v90(constB146, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22888, 22880])).
% 42.41/28.05 tff(22890,plain,
% 42.41/28.05 (v90(constB146, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20333, 22866])).
% 42.41/28.05 tff(22891,plain,
% 42.41/28.05 (v90(constB146, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20379, 22835])).
% 42.41/28.05 tff(22892,assumption,(v100(constB146)), introduced(assumption)).
% 42.41/28.05 tff(22893,assumption,(v90(constB146, bitIndex1)), introduced(assumption)).
% 42.41/28.05 tff(22894,plain,
% 42.41/28.05 (v129(constB146, bitIndex1) | (~v100(constB146))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20369, 868, 22893])).
% 42.41/28.05 tff(22895,plain,
% 42.41/28.05 (v129(constB146, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22894, 22892])).
% 42.41/28.05 tff(22896,plain,
% 42.41/28.05 (v127(constB145, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20362, 22895])).
% 42.41/28.05 tff(22897,plain,
% 42.41/28.05 (v130(constB145, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20357, 22896])).
% 42.41/28.05 tff(22898,assumption,(v90(constB146, bitIndex2)), introduced(assumption)).
% 42.41/28.05 tff(22899,plain,
% 42.41/28.05 (v129(constB146, bitIndex2) | (~v100(constB146))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20323, 1452, 22898])).
% 42.41/28.05 tff(22900,plain,
% 42.41/28.05 (v129(constB146, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22899, 22892])).
% 42.41/28.05 tff(22901,plain,
% 42.41/28.05 (v127(constB145, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20311, 22900])).
% 42.41/28.05 tff(22902,plain,
% 42.41/28.05 (v130(constB145, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20306, 22901])).
% 42.41/28.05 tff(22903,plain,
% 42.41/28.05 (~v124(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20139, 3868, 22902])).
% 42.41/28.05 tff(22904,assumption,(v90(constB146, bitIndex0)), introduced(assumption)).
% 42.41/28.05 tff(22905,plain,
% 42.41/28.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22906,plain,
% 42.41/28.05 (((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22907,plain,
% 42.41/28.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146))))),
% 42.41/28.05 inference(monotonicity,[status(thm)],[22906])).
% 42.41/28.05 tff(22908,plain,
% 42.41/28.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))),
% 42.41/28.05 inference(transitivity,[status(thm)],[22907, 22905])).
% 42.41/28.05 tff(22909,plain,
% 42.41/28.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22910,plain,
% 42.41/28.05 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22909, 22908])).
% 42.41/28.05 tff(22911,plain,
% 42.41/28.05 (v129(constB146, bitIndex0) | (~v100(constB146))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22910, 952, 22904])).
% 42.41/28.05 tff(22912,plain,
% 42.41/28.05 (v129(constB146, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22911, 22892])).
% 42.41/28.05 tff(22913,plain,
% 42.41/28.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22914,plain,
% 42.41/28.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22915,plain,
% 42.41/28.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22914, 22913])).
% 42.41/28.05 tff(22916,plain,
% 42.41/28.05 (v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22915, 937, 20038])).
% 42.41/28.05 tff(22917,plain,
% 42.41/28.05 (v127(constB145, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22916, 22912])).
% 42.41/28.05 tff(22918,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22919,plain,
% 42.41/28.05 ((v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0))) <=> ((~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22920,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0)))),
% 42.41/28.05 inference(monotonicity,[status(thm)],[22919])).
% 42.41/28.05 tff(22921,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))),
% 42.41/28.05 inference(transitivity,[status(thm)],[22920, 22918])).
% 42.41/28.05 tff(22922,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22923,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0)),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22922, 22921])).
% 42.41/28.05 tff(22924,plain,
% 42.41/28.05 ((~v127(constB145, bitIndex0)) | v130(constB145, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22923, 907, 19993])).
% 42.41/28.05 tff(22925,plain,
% 42.41/28.05 (v130(constB145, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22924, 22917])).
% 42.41/28.05 tff(22926,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB145)) | (~v130(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB145)) | (~v130(constB145, bitIndex0)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22927,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB145)) | (~v130(constB145, bitIndex0)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22928,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB145)) | (~v130(constB145, bitIndex0))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22927, 22926])).
% 42.41/28.05 tff(22929,plain,
% 42.41/28.05 (~v123(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22928, 1208, 22925])).
% 42.41/28.05 tff(22930,assumption,(~v90(constB145, bitIndex2)), introduced(assumption)).
% 42.41/28.05 tff(22931,plain,
% 42.41/28.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22932,plain,
% 42.41/28.05 (((~nextState(constB145, constB146)) | v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2))) <=> (v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22933,plain,
% 42.41/28.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2))))),
% 42.41/28.05 inference(monotonicity,[status(thm)],[22932])).
% 42.41/28.05 tff(22934,plain,
% 42.41/28.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2)))),
% 42.41/28.05 inference(transitivity,[status(thm)],[22933, 22931])).
% 42.41/28.05 tff(22935,plain,
% 42.41/28.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22936,plain,
% 42.41/28.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex2))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22935, 22934])).
% 42.41/28.05 tff(22937,plain,
% 42.41/28.05 (v90(constB145, bitIndex2) | v100(constB146) | (~v90(constB146, bitIndex2))),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22936, 423, 20038])).
% 42.41/28.05 tff(22938,plain,
% 42.41/28.05 (v100(constB146)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22937, 22930, 22898])).
% 42.41/28.05 tff(22939,plain,
% 42.41/28.05 (v129(constB146, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22894, 22938])).
% 42.41/28.05 tff(22940,plain,
% 42.41/28.05 (v127(constB145, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20362, 22939])).
% 42.41/28.05 tff(22941,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB145)) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB145)) | (~v127(constB145, bitIndex1)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22942,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB145)) | (~v127(constB145, bitIndex1)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22943,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB145)) | (~v127(constB145, bitIndex1))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22942, 22941])).
% 42.41/28.05 tff(22944,plain,
% 42.41/28.05 (~v26(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22943, 838, 22940])).
% 42.41/28.05 tff(22945,plain,
% 42.41/28.05 (v129(constB146, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22899, 22938])).
% 42.41/28.05 tff(22946,plain,
% 42.41/28.05 (v127(constB145, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20311, 22945])).
% 42.41/28.05 tff(22947,plain,
% 42.41/28.05 (v130(constB145, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20305, 1419, 22946, 22944])).
% 42.41/28.05 tff(22948,plain,
% 42.41/28.05 (v129(constB146, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22911, 22938])).
% 42.41/28.05 tff(22949,plain,
% 42.41/28.05 (v127(constB145, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22916, 22948])).
% 42.41/28.05 tff(22950,plain,
% 42.41/28.05 (v130(constB145, bitIndex0)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22923, 907, 22949, 22944])).
% 42.41/28.05 tff(22951,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB145)) | (~v130(constB145, bitIndex0)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22952,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB145)) | (~v130(constB145, bitIndex0)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22953,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB145)) | (~v130(constB145, bitIndex0))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22952, 22951])).
% 42.41/28.05 tff(22954,plain,
% 42.41/28.05 (~v120(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22953, 1826, 22950])).
% 42.41/28.05 tff(22955,plain,
% 42.41/28.05 (v130(constB145, bitIndex1)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20356, 823, 22940, 22944])).
% 42.41/28.05 tff(22956,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB145)) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB145)) | (~v130(constB145, bitIndex1)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22957,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB145)) | (~v130(constB145, bitIndex1)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22958,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB145)) | (~v130(constB145, bitIndex1))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22957, 22956])).
% 42.41/28.05 tff(22959,plain,
% 42.41/28.05 (~v122(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22958, 2281, 22955])).
% 42.41/28.05 tff(22960,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v123(constB145)) | v90(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v123(constB145)) | v90(constB145, bitIndex2))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22961,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v123(constB145)) | v90(constB145, bitIndex2))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22962,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v123(constB145)) | v90(constB145, bitIndex2)),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22961, 22960])).
% 42.41/28.05 tff(22963,plain,
% 42.41/28.05 (~v123(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22962, 7562, 22930])).
% 42.41/28.05 tff(22964,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB145)) | v90(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB145)) | v90(constB145, bitIndex2))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22965,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB145)) | v90(constB145, bitIndex2))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22966,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB145)) | v90(constB145, bitIndex2)),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22965, 22964])).
% 42.41/28.05 tff(22967,plain,
% 42.41/28.05 (~v124(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22966, 7573, 22930])).
% 42.41/28.05 tff(22968,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v130(constB145, bitIndex1)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22969,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v130(constB145, bitIndex1)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22970,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v130(constB145, bitIndex1))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22969, 22968])).
% 42.41/28.05 tff(22971,plain,
% 42.41/28.05 (~v119(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22970, 809, 22955])).
% 42.41/28.05 tff(22972,plain,
% 42.41/28.05 (v121(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20155, 1405, 22971, 22947, 22967, 22963, 22959, 22954])).
% 42.41/28.05 tff(22973,plain,
% 42.41/28.05 ($false),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20143, 1990, 22972, 22947])).
% 42.41/28.05 tff(22974,plain,(v90(constB145, bitIndex2) | (~v90(constB146, bitIndex2)) | (~v90(constB146, bitIndex0)) | (~v90(constB146, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.05 tff(22975,plain,
% 42.41/28.05 (v90(constB145, bitIndex2)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22974, 22898, 22904, 22893])).
% 42.41/28.05 tff(22976,plain,
% 42.41/28.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v90(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v90(constB145, bitIndex2)))),
% 42.41/28.05 inference(rewrite,[status(thm)],[])).
% 42.41/28.05 tff(22977,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB145)) | (~v90(constB145, bitIndex2)))),
% 42.41/28.05 inference(quant_inst,[status(thm)],[])).
% 42.41/28.05 tff(22978,plain,
% 42.41/28.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB145)) | (~v90(constB145, bitIndex2))),
% 42.41/28.05 inference(modus_ponens,[status(thm)],[22977, 22976])).
% 42.41/28.05 tff(22979,plain,
% 42.41/28.05 (~v120(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[22978, 7601, 22975])).
% 42.41/28.05 tff(22980,plain,
% 42.41/28.05 (~v122(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20341, 1347, 22975])).
% 42.41/28.05 tff(22981,plain,
% 42.41/28.05 (~v121(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20008, 1336, 22975])).
% 42.41/28.05 tff(22982,plain,
% 42.41/28.05 (~v119(constB145)),
% 42.41/28.05 inference(unit_resolution,[status(thm)],[20004, 7590, 22975])).
% 42.41/28.05 tff(22983,plain,
% 42.41/28.06 (v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[20348, 1494, 22982, 22981, 22980, 22979])).
% 42.41/28.06 tff(22984,plain,
% 42.41/28.06 ($false),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[22983, 22929, 22903, 22897])).
% 42.41/28.06 tff(22985,plain,((~v100(constB146)) | (~v90(constB146, bitIndex0)) | (~v90(constB146, bitIndex2)) | (~v90(constB146, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.06 tff(22986,plain,
% 42.41/28.06 (~v100(constB146)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[22985, 22889, 22891, 22890])).
% 42.41/28.06 tff(22987,plain,
% 42.41/28.06 (v90(constB145, bitIndex0)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[20319, 22986, 22889])).
% 42.41/28.06 tff(22988,plain,
% 42.41/28.06 (v90(constB144, bitIndex0)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[19939, 22987])).
% 42.41/28.06 tff(22989,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(22990,plain,
% 42.41/28.06 (((~nextState(constB145, constB146)) | v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1))) <=> (v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(22991,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1))))),
% 42.41/28.06 inference(monotonicity,[status(thm)],[22990])).
% 42.41/28.06 tff(22992,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1)))),
% 42.41/28.06 inference(transitivity,[status(thm)],[22991, 22989])).
% 42.41/28.06 tff(22993,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(22994,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex1))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[22993, 22992])).
% 42.41/28.06 tff(22995,plain,
% 42.41/28.06 (v90(constB145, bitIndex1) | v100(constB146) | (~v90(constB146, bitIndex1))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[22994, 444, 20038])).
% 42.41/28.06 tff(22996,plain,
% 42.41/28.06 (v90(constB145, bitIndex1)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[22995, 22986, 22891])).
% 42.41/28.06 tff(22997,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(22998,plain,
% 42.41/28.06 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(22999,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1))))),
% 42.41/28.06 inference(monotonicity,[status(thm)],[22998])).
% 42.41/28.06 tff(23000,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1)))),
% 42.41/28.06 inference(transitivity,[status(thm)],[22999, 22997])).
% 42.41/28.06 tff(23001,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23002,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex1))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23001, 23000])).
% 42.41/28.06 tff(23003,plain,
% 42.41/28.06 (v90(constB144, bitIndex1) | v100(constB145) | (~v90(constB145, bitIndex1))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23002, 444, 19873])).
% 42.41/28.06 tff(23004,plain,
% 42.41/28.06 (v90(constB144, bitIndex1) | (~v90(constB145, bitIndex1))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23003, 19885])).
% 42.41/28.06 tff(23005,plain,
% 42.41/28.06 (v90(constB144, bitIndex1)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23004, 22996])).
% 42.41/28.06 tff(23006,plain,
% 42.41/28.06 (v90(constB145, bitIndex2)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[22974, 22889, 22891, 22890])).
% 42.41/28.06 tff(23007,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23008,plain,
% 42.41/28.06 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23009,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2))))),
% 42.41/28.06 inference(monotonicity,[status(thm)],[23008])).
% 42.41/28.06 tff(23010,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2)))),
% 42.41/28.06 inference(transitivity,[status(thm)],[23009, 23007])).
% 42.41/28.06 tff(23011,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23012,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex2))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23011, 23010])).
% 42.41/28.06 tff(23013,plain,
% 42.41/28.06 (v90(constB144, bitIndex2) | v100(constB145) | (~v90(constB145, bitIndex2))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23012, 423, 19873])).
% 42.41/28.06 tff(23014,plain,
% 42.41/28.06 (v90(constB144, bitIndex2) | (~v90(constB145, bitIndex2))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23013, 19885])).
% 42.41/28.06 tff(23015,plain,
% 42.41/28.06 (v90(constB144, bitIndex2)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23014, 23006])).
% 42.41/28.06 tff(23016,assumption,(v90(constB144, bitIndex1)), introduced(assumption)).
% 42.41/28.06 tff(23017,assumption,(~v90(constB143, bitIndex1)), introduced(assumption)).
% 42.41/28.06 tff(23018,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23019,plain,
% 42.41/28.06 (((~nextState(constB143, constB144)) | v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1))) <=> (v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23020,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1))))),
% 42.41/28.06 inference(monotonicity,[status(thm)],[23019])).
% 42.41/28.06 tff(23021,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1)))),
% 42.41/28.06 inference(transitivity,[status(thm)],[23020, 23018])).
% 42.41/28.06 tff(23022,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23023,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex1))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23022, 23021])).
% 42.41/28.06 tff(23024,plain,
% 42.41/28.06 (v90(constB143, bitIndex1) | v100(constB144) | (~v90(constB144, bitIndex1))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23023, 444, 19805])).
% 42.41/28.06 tff(23025,plain,
% 42.41/28.06 (v100(constB144)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23024, 23017, 23016])).
% 42.41/28.06 tff(23026,assumption,(v90(constB144, bitIndex2)), introduced(assumption)).
% 42.41/28.06 tff(23027,plain,
% 42.41/28.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23028,plain,
% 42.41/28.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23029,plain,
% 42.41/28.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB144, bitIndex2)) | v129(constB144, bitIndex2) | (~v100(constB144))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23028, 23027])).
% 42.41/28.06 tff(23030,plain,
% 42.41/28.06 (v129(constB144, bitIndex2) | (~v100(constB144))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23029, 1452, 23026])).
% 42.41/28.06 tff(23031,plain,
% 42.41/28.06 (v129(constB144, bitIndex2)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23030, 23025])).
% 42.41/28.06 tff(23032,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23033,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23034,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23033, 23032])).
% 42.41/28.06 tff(23035,plain,
% 42.41/28.06 (v127(constB143, bitIndex2) | (~v129(constB144, bitIndex2))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23034, 1437, 19805])).
% 42.41/28.06 tff(23036,plain,
% 42.41/28.06 (v127(constB143, bitIndex2)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23035, 23031])).
% 42.41/28.06 tff(23037,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB143)) | (~v127(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB143)) | (~v127(constB143, bitIndex2)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23038,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB143)) | (~v127(constB143, bitIndex2)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23039,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB143)) | (~v127(constB143, bitIndex2))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23038, 23037])).
% 42.41/28.06 tff(23040,plain,
% 42.41/28.06 (~v26(constB143)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23039, 9124, 23036])).
% 42.41/28.06 tff(23041,plain,
% 42.41/28.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23042,plain,
% 42.41/28.06 (((~v90(constB144, bitIndex1)) | (~v100(constB144)) | v129(constB144, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23043,plain,
% 42.41/28.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~v100(constB144)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144))))),
% 42.41/28.06 inference(monotonicity,[status(thm)],[23042])).
% 42.41/28.06 tff(23044,plain,
% 42.41/28.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~v100(constB144)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144)))),
% 42.41/28.06 inference(transitivity,[status(thm)],[23043, 23041])).
% 42.41/28.06 tff(23045,plain,
% 42.41/28.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~v100(constB144)) | v129(constB144, bitIndex1))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23046,plain,
% 42.41/28.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | v129(constB144, bitIndex1) | (~v100(constB144))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23045, 23044])).
% 42.41/28.06 tff(23047,plain,
% 42.41/28.06 (v129(constB144, bitIndex1) | (~v100(constB144))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23046, 868, 23016])).
% 42.41/28.06 tff(23048,plain,
% 42.41/28.06 (v129(constB144, bitIndex1)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23047, 23025])).
% 42.41/28.06 tff(23049,plain,
% 42.41/28.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23050,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23051,plain,
% 42.41/28.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23050, 23049])).
% 42.41/28.06 tff(23052,plain,
% 42.41/28.06 (v127(constB143, bitIndex1) | (~v129(constB144, bitIndex1))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23051, 853, 19805])).
% 42.41/28.06 tff(23053,plain,
% 42.41/28.06 (v127(constB143, bitIndex1)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23052, 23048])).
% 42.41/28.06 tff(23054,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23055,plain,
% 42.41/28.06 ((v26(constB143) | v130(constB143, bitIndex1) | (~v127(constB143, bitIndex1))) <=> ((~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23056,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB143) | v130(constB143, bitIndex1) | (~v127(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1)))),
% 42.41/28.06 inference(monotonicity,[status(thm)],[23055])).
% 42.41/28.06 tff(23057,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB143) | v130(constB143, bitIndex1) | (~v127(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1))),
% 42.41/28.06 inference(transitivity,[status(thm)],[23056, 23054])).
% 42.41/28.06 tff(23058,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB143) | v130(constB143, bitIndex1) | (~v127(constB143, bitIndex1)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23059,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB143, bitIndex1)) | v26(constB143) | v130(constB143, bitIndex1)),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23058, 23057])).
% 42.41/28.06 tff(23060,plain,
% 42.41/28.06 (v130(constB143, bitIndex1)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23059, 823, 23053, 23040])).
% 42.41/28.06 tff(23061,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB143)) | (~v130(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB143)) | (~v130(constB143, bitIndex1)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23062,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB143)) | (~v130(constB143, bitIndex1)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23063,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB143)) | (~v130(constB143, bitIndex1))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23062, 23061])).
% 42.41/28.06 tff(23064,plain,
% 42.41/28.06 (~v119(constB143)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23063, 809, 23060])).
% 42.41/28.06 tff(23065,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23066,plain,
% 42.41/28.06 ((v26(constB143) | v130(constB143, bitIndex2) | (~v127(constB143, bitIndex2))) <=> ((~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23067,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB143) | v130(constB143, bitIndex2) | (~v127(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2)))),
% 42.41/28.06 inference(monotonicity,[status(thm)],[23066])).
% 42.41/28.06 tff(23068,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB143) | v130(constB143, bitIndex2) | (~v127(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2))),
% 42.41/28.06 inference(transitivity,[status(thm)],[23067, 23065])).
% 42.41/28.06 tff(23069,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB143) | v130(constB143, bitIndex2) | (~v127(constB143, bitIndex2)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23070,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB143, bitIndex2)) | v26(constB143) | v130(constB143, bitIndex2)),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23069, 23068])).
% 42.41/28.06 tff(23071,plain,
% 42.41/28.06 (v130(constB143, bitIndex2)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23070, 1419, 23036, 23040])).
% 42.41/28.06 tff(23072,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB143)) | (~v130(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB143)) | (~v130(constB143, bitIndex2)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23073,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB143)) | (~v130(constB143, bitIndex2)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23074,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB143)) | (~v130(constB143, bitIndex2))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23073, 23072])).
% 42.41/28.06 tff(23075,plain,
% 42.41/28.06 (~v120(constB143)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23074, 1732, 23071])).
% 42.41/28.06 tff(23076,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB143)) | (~v130(constB143, bitIndex2)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23077,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex2)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23078,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB143)) | (~v130(constB143, bitIndex2))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23077, 23076])).
% 42.41/28.06 tff(23079,plain,
% 42.41/28.06 (~v124(constB143)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23078, 3868, 23071])).
% 42.41/28.06 tff(23080,assumption,(v90(constB144, bitIndex0)), introduced(assumption)).
% 42.41/28.06 tff(23081,plain,
% 42.41/28.06 (v129(constB144, bitIndex0) | (~v100(constB144))),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[19929, 952, 23080])).
% 42.41/28.06 tff(23082,plain,
% 42.41/28.06 (v129(constB144, bitIndex0)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23081, 23025])).
% 42.41/28.06 tff(23083,plain,
% 42.41/28.06 (v127(constB143, bitIndex0)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[19922, 23082])).
% 42.41/28.06 tff(23084,plain,
% 42.41/28.06 (v130(constB143, bitIndex0)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[19916, 907, 23083, 23040])).
% 42.41/28.06 tff(23085,plain,
% 42.41/28.06 (~v123(constB143)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[19909, 1208, 23084])).
% 42.41/28.06 tff(23086,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB143)) | v90(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB143)) | v90(constB143, bitIndex1))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23087,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB143)) | v90(constB143, bitIndex1))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23088,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB143)) | v90(constB143, bitIndex1)),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23087, 23086])).
% 42.41/28.06 tff(23089,plain,
% 42.41/28.06 (~v121(constB143)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23088, 4128, 23017])).
% 42.41/28.06 tff(23090,plain,
% 42.41/28.06 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ((~v122(VarCurr)) | v90(VarCurr, bitIndex1)))),
% 42.41/28.06 inference(bind,[status(th)],[])).
% 42.41/28.06 tff(23091,plain,
% 42.41/28.06 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.41/28.06 inference(quant_intro,[status(thm)],[23090])).
% 42.41/28.06 tff(23092,plain,
% 42.41/28.06 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23093,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 42.41/28.06 tff(23094,plain,
% 42.41/28.06 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23093, 23092])).
% 42.41/28.06 tff(23095,plain,(
% 42.41/28.06 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.41/28.06 inference(skolemize,[status(sab)],[23094])).
% 42.41/28.06 tff(23096,plain,
% 42.41/28.06 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23095, 23091])).
% 42.41/28.06 tff(23097,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v122(constB143)) | v90(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v122(constB143)) | v90(constB143, bitIndex1))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23098,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v122(constB143)) | v90(constB143, bitIndex1))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23099,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v122(constB143)) | v90(constB143, bitIndex1)),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23098, 23097])).
% 42.41/28.06 tff(23100,plain,
% 42.41/28.06 (~v122(constB143)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23099, 23096, 23017])).
% 42.41/28.06 tff(23101,plain,
% 42.41/28.06 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex2)))),
% 42.41/28.06 inference(rewrite,[status(thm)],[])).
% 42.41/28.06 tff(23102,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex2)))),
% 42.41/28.06 inference(quant_inst,[status(thm)],[])).
% 42.41/28.06 tff(23103,plain,
% 42.41/28.06 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex2))),
% 42.41/28.06 inference(modus_ponens,[status(thm)],[23102, 23101])).
% 42.41/28.06 tff(23104,plain,
% 42.41/28.06 (v119(constB143) | v120(constB143) | v123(constB143) | v124(constB143)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23103, 1405, 23071, 23100, 23089])).
% 42.41/28.06 tff(23105,plain,
% 42.41/28.06 ($false),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23104, 23085, 23079, 23075, 23064])).
% 42.41/28.06 tff(23106,plain,(v90(constB143, bitIndex1) | (~v90(constB144, bitIndex0)) | (~v90(constB144, bitIndex1)) | (~v90(constB144, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.06 tff(23107,plain,
% 42.41/28.06 (v90(constB143, bitIndex1)),
% 42.41/28.06 inference(unit_resolution,[status(thm)],[23106, 22988, 23015, 23005])).
% 42.41/28.06 tff(23108,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB143)) | (~v90(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB143)) | (~v90(constB143, bitIndex1)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23109,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB143)) | (~v90(constB143, bitIndex1)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23110,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB143)) | (~v90(constB143, bitIndex1))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23109, 23108])).
% 42.41/28.07 tff(23111,plain,
% 42.41/28.07 (~v119(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23110, 1380, 23107])).
% 42.41/28.07 tff(23112,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB143)) | (~v90(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB143)) | (~v90(constB143, bitIndex1)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23113,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB143)) | (~v90(constB143, bitIndex1)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23114,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB143)) | (~v90(constB143, bitIndex1))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23113, 23112])).
% 42.41/28.07 tff(23115,plain,
% 42.41/28.07 (~v120(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23114, 1391, 23107])).
% 42.41/28.07 tff(23116,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB143)) | (~v90(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB143)) | (~v90(constB143, bitIndex1)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23117,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB143)) | (~v90(constB143, bitIndex1)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23118,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB143)) | (~v90(constB143, bitIndex1))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 42.41/28.07 tff(23119,plain,
% 42.41/28.07 (~v123(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23118, 1358, 23107])).
% 42.41/28.07 tff(23120,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB143)) | (~v90(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB143)) | (~v90(constB143, bitIndex1)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23121,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB143)) | (~v90(constB143, bitIndex1)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23122,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB143)) | (~v90(constB143, bitIndex1))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23121, 23120])).
% 42.41/28.07 tff(23123,plain,
% 42.41/28.07 (~v124(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23122, 1369, 23107])).
% 42.41/28.07 tff(23124,assumption,(~v129(constB144, bitIndex0)), introduced(assumption)).
% 42.41/28.07 tff(23125,plain,
% 42.41/28.07 (~v100(constB144)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23081, 23124])).
% 42.41/28.07 tff(23126,plain,
% 42.41/28.07 (~v110(constB144)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19844, 23125])).
% 42.41/28.07 tff(23127,plain,
% 42.41/28.07 (~v108(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19812, 23126])).
% 42.41/28.07 tff(23128,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v26(constB143)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v26(constB143)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23129,plain,
% 42.41/28.07 (((~v26(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v26(constB143)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23130,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v26(constB143))))),
% 42.41/28.07 inference(monotonicity,[status(thm)],[23129])).
% 42.41/28.07 tff(23131,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v26(constB143)))),
% 42.41/28.07 inference(transitivity,[status(thm)],[23130, 23128])).
% 42.41/28.07 tff(23132,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB143)) | v108(constB143))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23133,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v26(constB143))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23132, 23131])).
% 42.41/28.07 tff(23134,plain,
% 42.41/28.07 (~v26(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23133, 1925, 23127])).
% 42.41/28.07 tff(23135,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23136,plain,
% 42.41/28.07 (((~nextState(constB143, constB144)) | v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0))) <=> (v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23137,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0))))),
% 42.41/28.07 inference(monotonicity,[status(thm)],[23136])).
% 42.41/28.07 tff(23138,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0)))),
% 42.41/28.07 inference(transitivity,[status(thm)],[23137, 23135])).
% 42.41/28.07 tff(23139,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23140,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex0))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23139, 23138])).
% 42.41/28.07 tff(23141,plain,
% 42.41/28.07 (v90(constB143, bitIndex0) | v100(constB144) | (~v90(constB144, bitIndex0))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23140, 465, 19805])).
% 42.41/28.07 tff(23142,plain,
% 42.41/28.07 (v90(constB143, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23141, 23125, 23080])).
% 42.41/28.07 tff(23143,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB143)) | (~v90(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB143)) | (~v90(constB143, bitIndex0)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23144,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB143)) | (~v90(constB143, bitIndex0)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23145,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB143)) | (~v90(constB143, bitIndex0))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23144, 23143])).
% 42.41/28.07 tff(23146,plain,
% 42.41/28.07 (~v121(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23145, 11039, 23142])).
% 42.41/28.07 tff(23147,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23148,plain,
% 42.41/28.07 (((~nextState(constB143, constB144)) | v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2))) <=> (v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23149,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2))))),
% 42.41/28.07 inference(monotonicity,[status(thm)],[23148])).
% 42.41/28.07 tff(23150,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2)))),
% 42.41/28.07 inference(transitivity,[status(thm)],[23149, 23147])).
% 42.41/28.07 tff(23151,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23152,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, bitIndex2))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 42.41/28.07 tff(23153,plain,
% 42.41/28.07 (v90(constB143, bitIndex2) | v100(constB144) | (~v90(constB144, bitIndex2))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23152, 423, 19805])).
% 42.41/28.07 tff(23154,plain,
% 42.41/28.07 (v90(constB143, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23153, 23125, 23026])).
% 42.41/28.07 tff(23155,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB143)) | (~v90(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB143)) | (~v90(constB143, bitIndex2)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23156,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB143)) | (~v90(constB143, bitIndex2)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23157,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB143)) | (~v90(constB143, bitIndex2))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23156, 23155])).
% 42.41/28.07 tff(23158,plain,
% 42.41/28.07 (~v122(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23157, 1347, 23154])).
% 42.41/28.07 tff(23159,assumption,(~v119(constB143)), introduced(assumption)).
% 42.41/28.07 tff(23160,assumption,(~v120(constB143)), introduced(assumption)).
% 42.41/28.07 tff(23161,assumption,(~v123(constB143)), introduced(assumption)).
% 42.41/28.07 tff(23162,assumption,(~v124(constB143)), introduced(assumption)).
% 42.41/28.07 tff(23163,plain,
% 42.41/28.07 (v121(constB143) | v122(constB143) | v130(constB143, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20216, 1538, 23162, 23161, 23160, 23159])).
% 42.41/28.07 tff(23164,plain,
% 42.41/28.07 (v130(constB143, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23163, 23158, 23146])).
% 42.41/28.07 tff(23165,plain,
% 42.41/28.07 (~v127(constB143, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20273, 23124])).
% 42.41/28.07 tff(23166,plain,
% 42.41/28.07 (v26(constB143) | (~v130(constB143, bitIndex0))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20277, 1552, 23165])).
% 42.41/28.07 tff(23167,plain,
% 42.41/28.07 ($false),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23166, 23164, 23134])).
% 42.41/28.07 tff(23168,plain,(v129(constB144, bitIndex0) | v124(constB143) | v123(constB143) | v120(constB143) | v119(constB143) | (~v90(constB144, bitIndex2)) | (~v90(constB144, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.07 tff(23169,plain,
% 42.41/28.07 (v129(constB144, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23168, 23111, 23115, 23119, 22988, 23015, 23123])).
% 42.41/28.07 tff(23170,plain,
% 42.41/28.07 (v127(constB143, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19922, 23169])).
% 42.41/28.07 tff(23171,plain,
% 42.41/28.07 (v130(constB143, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19917, 23170])).
% 42.41/28.07 tff(23172,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB143)) | (~v130(constB143, bitIndex0)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23173,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB143)) | (~v130(constB143, bitIndex0)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23174,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB143)) | (~v130(constB143, bitIndex0))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23173, 23172])).
% 42.41/28.07 tff(23175,plain,
% 42.41/28.07 (~v122(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23174, 2327, 23171])).
% 42.41/28.07 tff(23176,assumption,(v130(constB143, bitIndex2)), introduced(assumption)).
% 42.41/28.07 tff(23177,assumption,(~v122(constB143)), introduced(assumption)).
% 42.41/28.07 tff(23178,plain,
% 42.41/28.07 (v121(constB143) | v122(constB143) | (~v130(constB143, bitIndex2))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23103, 1405, 23162, 23161, 23160, 23159])).
% 42.41/28.07 tff(23179,plain,
% 42.41/28.07 (v121(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23178, 23176, 23177])).
% 42.41/28.07 tff(23180,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB143)) | (~v130(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB143)) | (~v130(constB143, bitIndex2)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23181,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB143)) | (~v130(constB143, bitIndex2)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23182,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB143)) | (~v130(constB143, bitIndex2))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23181, 23180])).
% 42.41/28.07 tff(23183,plain,
% 42.41/28.07 ($false),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23182, 1990, 23179, 23176])).
% 42.41/28.07 tff(23184,plain,((~v130(constB143, bitIndex2)) | v122(constB143) | v124(constB143) | v123(constB143) | v120(constB143) | v119(constB143)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.07 tff(23185,plain,
% 42.41/28.07 (~v130(constB143, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23184, 23175, 23123, 23119, 23115, 23111])).
% 42.41/28.07 tff(23186,plain,
% 42.41/28.07 ((~v127(constB143, bitIndex2)) | v130(constB143, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23070, 1419, 19787])).
% 42.41/28.07 tff(23187,plain,
% 42.41/28.07 (~v127(constB143, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23186, 23185])).
% 42.41/28.07 tff(23188,plain,
% 42.41/28.07 (~v129(constB144, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23035, 23187])).
% 42.41/28.07 tff(23189,plain,
% 42.41/28.07 (v129(constB144, bitIndex2) | (~v100(constB144))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23029, 1452, 23015])).
% 42.41/28.07 tff(23190,plain,
% 42.41/28.07 (~v100(constB144)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23189, 23188])).
% 42.41/28.07 tff(23191,plain,
% 42.41/28.07 (v90(constB143, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23141, 23190, 22988])).
% 42.41/28.07 tff(23192,plain,
% 42.41/28.07 (v90(constB142, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19760, 23191])).
% 42.41/28.07 tff(23193,plain,
% 42.41/28.07 (v90(constB142, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19730, 23107])).
% 42.41/28.07 tff(23194,plain,
% 42.41/28.07 (v90(constB143, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23153, 23190, 23015])).
% 42.41/28.07 tff(23195,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23196,plain,
% 42.41/28.07 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23197,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2))))),
% 42.41/28.07 inference(monotonicity,[status(thm)],[23196])).
% 42.41/28.07 tff(23198,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2)))),
% 42.41/28.07 inference(transitivity,[status(thm)],[23197, 23195])).
% 42.41/28.07 tff(23199,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23200,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex2))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23199, 23198])).
% 42.41/28.07 tff(23201,plain,
% 42.41/28.07 (v90(constB142, bitIndex2) | v100(constB143) | (~v90(constB143, bitIndex2))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23200, 423, 19676])).
% 42.41/28.07 tff(23202,plain,
% 42.41/28.07 (v90(constB142, bitIndex2) | (~v90(constB143, bitIndex2))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23201, 19688])).
% 42.41/28.07 tff(23203,plain,
% 42.41/28.07 (v90(constB142, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23202, 23194])).
% 42.41/28.07 tff(23204,assumption,(v120(constB145)), introduced(assumption)).
% 42.41/28.07 tff(23205,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB145)) | v118(constB145))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB145)) | v118(constB145))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23206,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB145)) | v118(constB145))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23207,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB145)) | v118(constB145)),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23206, 23205])).
% 42.41/28.07 tff(23208,plain,
% 42.41/28.07 (v118(constB145)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23207, 1630, 23204])).
% 42.41/28.07 tff(23209,plain,
% 42.41/28.07 (v117(constB145)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20642, 511, 23208])).
% 42.41/28.07 tff(23210,plain,
% 42.41/28.07 (v116(constB145)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20635, 525, 23209])).
% 42.41/28.07 tff(23211,plain,
% 42.41/28.07 (v115(constB145)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20628, 539, 23210])).
% 42.41/28.07 tff(23212,plain,
% 42.41/28.07 (v114(constB145)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20594, 553, 23211])).
% 42.41/28.07 tff(23213,plain,
% 42.41/28.07 (v113(constB145)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20587, 567, 23212])).
% 42.41/28.07 tff(23214,plain,
% 42.41/28.07 (v112(constB145)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20000, 23213])).
% 42.41/28.07 tff(23215,plain,
% 42.41/28.07 (v108(constB145)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20098, 746, 23214])).
% 42.41/28.07 tff(23216,plain,
% 42.41/28.07 (v110(constB146)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20091, 23215])).
% 42.41/28.07 tff(23217,plain,
% 42.41/28.07 (v100(constB146)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20083, 23216])).
% 42.41/28.07 tff(23218,plain,
% 42.41/28.07 (~v130(constB145, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20147, 1732, 23204])).
% 42.41/28.07 tff(23219,plain,
% 42.41/28.07 (~v127(constB145, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20306, 23218])).
% 42.41/28.07 tff(23220,plain,
% 42.41/28.07 (~v129(constB146, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20311, 23219])).
% 42.41/28.07 tff(23221,plain,
% 42.41/28.07 ((~v90(constB146, bitIndex2)) | (~v100(constB146))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20323, 1452, 23220])).
% 42.41/28.07 tff(23222,plain,
% 42.41/28.07 (~v90(constB146, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23221, 23217])).
% 42.41/28.07 tff(23223,plain,
% 42.41/28.07 (~v90(constB147, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20333, 23222])).
% 42.41/28.07 tff(23224,plain,
% 42.41/28.07 (v130(constB145, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20711, 1788, 23204])).
% 42.41/28.07 tff(23225,plain,
% 42.41/28.07 (v127(constB145, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20707, 23224])).
% 42.41/28.07 tff(23226,plain,
% 42.41/28.07 (v129(constB146, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20702, 23225])).
% 42.41/28.07 tff(23227,plain,
% 42.41/28.07 (v90(constB146, bitIndex1) | (~v100(constB146))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20697, 1174, 23226])).
% 42.41/28.07 tff(23228,plain,
% 42.41/28.07 (v90(constB146, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23227, 23217])).
% 42.41/28.07 tff(23229,plain,
% 42.41/28.07 (v90(constB147, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[20531, 23228])).
% 42.41/28.07 tff(23230,plain,
% 42.41/28.07 (~v130(constB145, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[22953, 1826, 23204])).
% 42.41/28.07 tff(23231,plain,
% 42.41/28.07 (~v127(constB145, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[22924, 23230])).
% 42.41/28.07 tff(23232,plain,
% 42.41/28.07 (~v129(constB146, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[22916, 23231])).
% 42.41/28.07 tff(23233,plain,
% 42.41/28.07 ((~v90(constB146, bitIndex0)) | (~v100(constB146))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[22910, 952, 23232])).
% 42.41/28.07 tff(23234,plain,
% 42.41/28.07 (~v90(constB146, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23233, 23217])).
% 42.41/28.07 tff(23235,plain,
% 42.41/28.07 (~v90(constB147, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[22888, 23234])).
% 42.41/28.07 tff(23236,plain,
% 42.41/28.07 ($false),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[22856, 23235, 23229, 23223])).
% 42.41/28.07 tff(23237,plain,((~v120(constB145)) | v121(constB147)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.07 tff(23238,plain,
% 42.41/28.07 (~v120(constB145)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23237, 21085])).
% 42.41/28.07 tff(23239,assumption,(v123(constB141)), introduced(assumption)).
% 42.41/28.07 tff(23240,plain,
% 42.41/28.07 (v115(constB141)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19507, 990, 23239])).
% 42.41/28.07 tff(23241,plain,
% 42.41/28.07 (v114(constB141)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19567, 553, 23240])).
% 42.41/28.07 tff(23242,plain,
% 42.41/28.07 (v113(constB141)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19574, 567, 23241])).
% 42.41/28.07 tff(23243,plain,
% 42.41/28.07 (v108(constB141)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19600, 23242])).
% 42.41/28.07 tff(23244,plain,
% 42.41/28.07 (v110(constB142)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19611, 23243])).
% 42.41/28.07 tff(23245,plain,
% 42.41/28.07 (v100(constB142)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19643, 23244])).
% 42.41/28.07 tff(23246,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23247,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23248,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2)),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23247, 23246])).
% 42.41/28.07 tff(23249,plain,
% 42.41/28.07 (v130(constB141, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23248, 1074, 23239])).
% 42.41/28.07 tff(23250,plain,
% 42.41/28.07 (v127(constB141, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19656, 23249])).
% 42.41/28.07 tff(23251,plain,
% 42.41/28.07 (v129(constB142, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19661, 23250])).
% 42.41/28.07 tff(23252,plain,
% 42.41/28.07 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19668, 641, 23251])).
% 42.41/28.07 tff(23253,plain,
% 42.41/28.07 (v90(constB142, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23252, 23245])).
% 42.41/28.07 tff(23254,plain,
% 42.41/28.07 (v90(constB143, bitIndex2)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19696, 23253])).
% 42.41/28.07 tff(23255,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB141)) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB141)) | v130(constB141, bitIndex1))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23256,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB141)) | v130(constB141, bitIndex1))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23257,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB141)) | v130(constB141, bitIndex1)),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23256, 23255])).
% 42.41/28.07 tff(23258,plain,
% 42.41/28.07 (v130(constB141, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23257, 1130, 23239])).
% 42.41/28.07 tff(23259,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB141) | (~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB141) | (~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23260,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB141) | (~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23261,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB141) | (~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1)),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23260, 23259])).
% 42.41/28.07 tff(23262,plain,
% 42.41/28.07 ((~v130(constB141, bitIndex1)) | v127(constB141, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23261, 1144, 19652])).
% 42.41/28.07 tff(23263,plain,
% 42.41/28.07 (v127(constB141, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23262, 23258])).
% 42.41/28.07 tff(23264,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23265,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23266,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1)),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 42.41/28.07 tff(23267,plain,
% 42.41/28.07 ((~v127(constB141, bitIndex1)) | v129(constB142, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23266, 1159, 19604])).
% 42.41/28.07 tff(23268,plain,
% 42.41/28.07 (v129(constB142, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23267, 23263])).
% 42.41/28.07 tff(23269,plain,
% 42.41/28.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23270,plain,
% 42.41/28.07 ((v90(constB142, bitIndex1) | (~v100(constB142)) | (~v129(constB142, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23271,plain,
% 42.41/28.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v100(constB142)) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142))))),
% 42.41/28.07 inference(monotonicity,[status(thm)],[23270])).
% 42.41/28.07 tff(23272,plain,
% 42.41/28.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v100(constB142)) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142)))),
% 42.41/28.07 inference(transitivity,[status(thm)],[23271, 23269])).
% 42.41/28.07 tff(23273,plain,
% 42.41/28.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~v100(constB142)) | (~v129(constB142, bitIndex1)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23274,plain,
% 42.41/28.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~v129(constB142, bitIndex1)) | (~v100(constB142))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 42.41/28.07 tff(23275,plain,
% 42.41/28.07 (v90(constB142, bitIndex1) | (~v100(constB142))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23274, 1174, 23268])).
% 42.41/28.07 tff(23276,plain,
% 42.41/28.07 (v90(constB142, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23275, 23245])).
% 42.41/28.07 tff(23277,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23278,plain,
% 42.41/28.07 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23279,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1)))),
% 42.41/28.07 inference(monotonicity,[status(thm)],[23278])).
% 42.41/28.07 tff(23280,plain,
% 42.41/28.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1))),
% 42.41/28.07 inference(transitivity,[status(thm)],[23279, 23277])).
% 42.41/28.07 tff(23281,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23282,plain,
% 42.41/28.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex1)),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23281, 23280])).
% 42.41/28.07 tff(23283,plain,
% 42.41/28.07 ((~v90(constB142, bitIndex1)) | v100(constB143) | v90(constB143, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23282, 1192, 19676])).
% 42.41/28.07 tff(23284,plain,
% 42.41/28.07 ((~v90(constB142, bitIndex1)) | v90(constB143, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23283, 19688])).
% 42.41/28.07 tff(23285,plain,
% 42.41/28.07 (v90(constB143, bitIndex1)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23284, 23276])).
% 42.41/28.07 tff(23286,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB141)) | (~v130(constB141, bitIndex0)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23287,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex0)))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23288,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB141)) | (~v130(constB141, bitIndex0))),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23287, 23286])).
% 42.41/28.07 tff(23289,plain,
% 42.41/28.07 (~v130(constB141, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23288, 1208, 23239])).
% 42.41/28.07 tff(23290,plain,
% 42.41/28.07 (~v127(constB141, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19738, 23289])).
% 42.41/28.07 tff(23291,plain,
% 42.41/28.07 (~v129(constB142, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19743, 23290])).
% 42.41/28.07 tff(23292,plain,
% 42.41/28.07 ((~v90(constB142, bitIndex0)) | (~v100(constB142))),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19750, 952, 23291])).
% 42.41/28.07 tff(23293,plain,
% 42.41/28.07 (~v90(constB142, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23292, 23245])).
% 42.41/28.07 tff(23294,plain,
% 42.41/28.07 (~v90(constB143, bitIndex0)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[19760, 23293])).
% 42.41/28.07 tff(23295,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | (~v90(constB143, bitIndex2)) | v125(constB143))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | (~v90(constB143, bitIndex2)) | v125(constB143))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23296,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | (~v90(constB143, bitIndex2)) | v125(constB143))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23297,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex1)) | (~v90(constB143, bitIndex2)) | v125(constB143)),
% 42.41/28.07 inference(modus_ponens,[status(thm)],[23296, 23295])).
% 42.41/28.07 tff(23298,plain,
% 42.41/28.07 (v125(constB143)),
% 42.41/28.07 inference(unit_resolution,[status(thm)],[23297, 1252, 23294, 23285, 23254])).
% 42.41/28.07 tff(23299,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v125(constB143)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v125(constB143)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23300,plain,
% 42.41/28.07 (((~v125(constB143)) | v113(constB143)) <=> (v113(constB143) | (~v125(constB143)))),
% 42.41/28.07 inference(rewrite,[status(thm)],[])).
% 42.41/28.07 tff(23301,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v125(constB143))))),
% 42.41/28.07 inference(monotonicity,[status(thm)],[23300])).
% 42.41/28.07 tff(23302,plain,
% 42.41/28.07 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v125(constB143)))),
% 42.41/28.07 inference(transitivity,[status(thm)],[23301, 23299])).
% 42.41/28.07 tff(23303,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB143)) | v113(constB143))),
% 42.41/28.07 inference(quant_inst,[status(thm)],[])).
% 42.41/28.07 tff(23304,plain,
% 42.41/28.07 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v125(constB143))),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23303, 23302])).
% 42.41/28.08 tff(23305,plain,
% 42.41/28.08 (v113(constB143)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23304, 1263, 23298])).
% 42.41/28.08 tff(23306,plain,
% 42.41/28.08 (v112(constB143)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19794, 23305])).
% 42.41/28.08 tff(23307,plain,
% 42.41/28.08 (v108(constB143)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19801, 746, 23306])).
% 42.41/28.08 tff(23308,plain,
% 42.41/28.08 (v110(constB144)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19812, 23307])).
% 42.41/28.08 tff(23309,plain,
% 42.41/28.08 (v100(constB144)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19844, 23308])).
% 42.41/28.08 tff(23310,plain,
% 42.41/28.08 (~v122(constB143)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23157, 1347, 23254])).
% 42.41/28.08 tff(23311,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB143)) | (~v90(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB143)) | (~v90(constB143, bitIndex2)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23312,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB143)) | (~v90(constB143, bitIndex2)))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23313,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB143)) | (~v90(constB143, bitIndex2))),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23312, 23311])).
% 42.41/28.08 tff(23314,plain,
% 42.41/28.08 (~v121(constB143)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23313, 1336, 23254])).
% 42.41/28.08 tff(23315,plain,
% 42.41/28.08 (~v119(constB143)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23110, 1380, 23285])).
% 42.41/28.08 tff(23316,plain,
% 42.41/28.08 (~v120(constB143)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23114, 1391, 23285])).
% 42.41/28.08 tff(23317,plain,
% 42.41/28.08 (~v123(constB143)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23118, 1358, 23285])).
% 42.41/28.08 tff(23318,plain,
% 42.41/28.08 (~v124(constB143)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23122, 1369, 23285])).
% 42.41/28.08 tff(23319,plain,
% 42.41/28.08 (~v130(constB143, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23103, 1405, 23318, 23317, 23316, 23315, 23314, 23310])).
% 42.41/28.08 tff(23320,plain,
% 42.41/28.08 (~v127(constB143, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23186, 23319])).
% 42.41/28.08 tff(23321,plain,
% 42.41/28.08 (~v129(constB144, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23035, 23320])).
% 42.41/28.08 tff(23322,plain,
% 42.41/28.08 ((~v90(constB144, bitIndex2)) | (~v100(constB144))),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23029, 1452, 23321])).
% 42.41/28.08 tff(23323,plain,
% 42.41/28.08 (~v90(constB144, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23322, 23309])).
% 42.41/28.08 tff(23324,plain,
% 42.41/28.08 (~v90(constB145, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23014, 23323])).
% 42.41/28.08 tff(23325,plain,
% 42.41/28.08 (v130(constB143, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[20216, 1538, 23318, 23317, 23316, 23315, 23314, 23310])).
% 42.41/28.08 tff(23326,plain,
% 42.41/28.08 (v127(constB143, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[20278, 23325])).
% 42.41/28.08 tff(23327,plain,
% 42.41/28.08 (v129(constB144, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[20273, 23326])).
% 42.41/28.08 tff(23328,plain,
% 42.41/28.08 (v90(constB144, bitIndex0) | (~v100(constB144))),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[20267, 1582, 23327])).
% 42.41/28.08 tff(23329,plain,
% 42.41/28.08 (v90(constB144, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23328, 23309])).
% 42.41/28.08 tff(23330,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23331,plain,
% 42.41/28.08 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23332,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0)))),
% 42.41/28.08 inference(monotonicity,[status(thm)],[23331])).
% 42.41/28.08 tff(23333,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0))),
% 42.41/28.08 inference(transitivity,[status(thm)],[23332, 23330])).
% 42.41/28.08 tff(23334,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23335,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex0)),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23334, 23333])).
% 42.41/28.08 tff(23336,plain,
% 42.41/28.08 ((~v90(constB144, bitIndex0)) | v100(constB145) | v90(constB145, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23335, 1600, 19873])).
% 42.41/28.08 tff(23337,plain,
% 42.41/28.08 ((~v90(constB144, bitIndex0)) | v90(constB145, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23336, 19885])).
% 42.41/28.08 tff(23338,plain,
% 42.41/28.08 (v90(constB145, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23337, 23329])).
% 42.41/28.08 tff(23339,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex1)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23340,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex1)))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23341,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, bitIndex1))),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23340, 23339])).
% 42.41/28.08 tff(23342,plain,
% 42.41/28.08 (~v130(constB143, bitIndex1)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23341, 1494, 23318, 23317, 23316, 23315, 23314, 23310])).
% 42.41/28.08 tff(23343,plain,
% 42.41/28.08 ((~v127(constB143, bitIndex1)) | v130(constB143, bitIndex1)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23059, 823, 19787])).
% 42.41/28.08 tff(23344,plain,
% 42.41/28.08 (~v127(constB143, bitIndex1)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23343, 23342])).
% 42.41/28.08 tff(23345,plain,
% 42.41/28.08 (~v129(constB144, bitIndex1)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23052, 23344])).
% 42.41/28.08 tff(23346,plain,
% 42.41/28.08 ((~v90(constB144, bitIndex1)) | (~v100(constB144))),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23046, 868, 23345])).
% 42.41/28.08 tff(23347,plain,
% 42.41/28.08 (~v90(constB144, bitIndex1)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23346, 23309])).
% 42.41/28.08 tff(23348,plain,
% 42.41/28.08 (~v90(constB145, bitIndex1)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23004, 23347])).
% 42.41/28.08 tff(23349,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v120(constB145))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v120(constB145))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23350,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v120(constB145))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23351,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | v120(constB145)),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23350, 23349])).
% 42.41/28.08 tff(23352,plain,
% 42.41/28.08 ((~v90(constB145, bitIndex0)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23351, 1619, 20345])).
% 42.41/28.08 tff(23353,plain,
% 42.41/28.08 ($false),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23352, 23348, 23338, 23324])).
% 42.41/28.08 tff(23354,plain,((~v123(constB141)) | v120(constB145)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.08 tff(23355,plain,
% 42.41/28.08 (~v123(constB141)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23354, 23238])).
% 42.41/28.08 tff(23356,assumption,(v122(constB139)), introduced(assumption)).
% 42.41/28.08 tff(23357,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB139)) | v116(constB139))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23358,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23359,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB139)) | v116(constB139)),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23358, 23357])).
% 42.41/28.08 tff(23360,plain,
% 42.41/28.08 (v116(constB139)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23359, 2140, 23356])).
% 42.41/28.08 tff(23361,plain,
% 42.41/28.08 (v115(constB139)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19295, 539, 23360])).
% 42.41/28.08 tff(23362,plain,
% 42.41/28.08 (v114(constB139)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19302, 553, 23361])).
% 42.41/28.08 tff(23363,plain,
% 42.41/28.08 (v113(constB139)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19309, 567, 23362])).
% 42.41/28.08 tff(23364,plain,
% 42.41/28.08 (v112(constB139)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19321, 23363])).
% 42.41/28.08 tff(23365,plain,
% 42.41/28.08 (v108(constB139)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19328, 746, 23364])).
% 42.41/28.08 tff(23366,plain,
% 42.41/28.08 (v110(constB140)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19339, 23365])).
% 42.41/28.08 tff(23367,plain,
% 42.41/28.08 (v100(constB140)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[19371, 23366])).
% 42.41/28.08 tff(23368,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23369,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23370,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2)),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23369, 23368])).
% 42.41/28.08 tff(23371,plain,
% 42.41/28.08 (v130(constB139, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23370, 2224, 23356])).
% 42.41/28.08 tff(23372,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23373,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23374,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23373, 23372])).
% 42.41/28.08 tff(23375,plain,
% 42.41/28.08 ((~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23374, 607, 19314])).
% 42.41/28.08 tff(23376,plain,
% 42.41/28.08 (v127(constB139, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23375, 23371])).
% 42.41/28.08 tff(23377,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23378,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23379,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23378, 23377])).
% 42.41/28.08 tff(23380,plain,
% 42.41/28.08 ((~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23379, 625, 19332])).
% 42.41/28.08 tff(23381,plain,
% 42.41/28.08 (v129(constB140, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23380, 23376])).
% 42.41/28.08 tff(23382,plain,
% 42.41/28.08 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23383,plain,
% 42.41/28.08 ((v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23384,plain,
% 42.41/28.08 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))))),
% 42.41/28.08 inference(monotonicity,[status(thm)],[23383])).
% 42.41/28.08 tff(23385,plain,
% 42.41/28.08 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 42.41/28.08 inference(transitivity,[status(thm)],[23384, 23382])).
% 42.41/28.08 tff(23386,plain,
% 42.41/28.08 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23387,plain,
% 42.41/28.08 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23386, 23385])).
% 42.41/28.08 tff(23388,plain,
% 42.41/28.08 (v90(constB140, bitIndex2) | (~v100(constB140))),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23387, 641, 23381])).
% 42.41/28.08 tff(23389,plain,
% 42.41/28.08 (v90(constB140, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23388, 23367])).
% 42.41/28.08 tff(23390,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23391,plain,
% 42.41/28.08 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)) <=> ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23392,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)))),
% 42.41/28.08 inference(monotonicity,[status(thm)],[23391])).
% 42.41/28.08 tff(23393,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 42.41/28.08 inference(transitivity,[status(thm)],[23392, 23390])).
% 42.41/28.08 tff(23394,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23395,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23394, 23393])).
% 42.41/28.08 tff(23396,plain,
% 42.41/28.08 ((~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23395, 783, 19400])).
% 42.41/28.08 tff(23397,plain,
% 42.41/28.08 ((~v90(constB140, bitIndex2)) | v90(constB141, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23396, 19412])).
% 42.41/28.08 tff(23398,plain,
% 42.41/28.08 (v90(constB141, bitIndex2)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23397, 23389])).
% 42.41/28.08 tff(23399,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23400,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23401,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0))),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23400, 23399])).
% 42.41/28.08 tff(23402,plain,
% 42.41/28.08 (~v130(constB139, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23401, 2327, 23356])).
% 42.41/28.08 tff(23403,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23404,plain,
% 42.41/28.08 ((v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0))) <=> ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23405,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)))),
% 42.41/28.08 inference(monotonicity,[status(thm)],[23404])).
% 42.41/28.08 tff(23406,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 42.41/28.08 inference(transitivity,[status(thm)],[23405, 23403])).
% 42.41/28.08 tff(23407,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23408,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23407, 23406])).
% 42.41/28.08 tff(23409,plain,
% 42.41/28.08 ((~v127(constB139, bitIndex0)) | v130(constB139, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23408, 907, 19314])).
% 42.41/28.08 tff(23410,plain,
% 42.41/28.08 (~v127(constB139, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23409, 23402])).
% 42.41/28.08 tff(23411,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23412,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23413,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23412, 23411])).
% 42.41/28.08 tff(23414,plain,
% 42.41/28.08 (v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23413, 937, 19332])).
% 42.41/28.08 tff(23415,plain,
% 42.41/28.08 (~v129(constB140, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23414, 23410])).
% 42.41/28.08 tff(23416,plain,
% 42.41/28.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23417,plain,
% 42.41/28.08 (((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23418,plain,
% 42.41/28.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))))),
% 42.41/28.08 inference(monotonicity,[status(thm)],[23417])).
% 42.41/28.08 tff(23419,plain,
% 42.41/28.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 42.41/28.08 inference(transitivity,[status(thm)],[23418, 23416])).
% 42.41/28.08 tff(23420,plain,
% 42.41/28.08 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23421,plain,
% 42.41/28.08 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23420, 23419])).
% 42.41/28.08 tff(23422,plain,
% 42.41/28.08 ((~v90(constB140, bitIndex0)) | (~v100(constB140))),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23421, 952, 23415])).
% 42.41/28.08 tff(23423,plain,
% 42.41/28.08 (~v90(constB140, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23422, 23367])).
% 42.41/28.08 tff(23424,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23425,plain,
% 42.41/28.08 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23426,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))))),
% 42.41/28.08 inference(monotonicity,[status(thm)],[23425])).
% 42.41/28.08 tff(23427,plain,
% 42.41/28.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 42.41/28.08 inference(transitivity,[status(thm)],[23426, 23424])).
% 42.41/28.08 tff(23428,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23429,plain,
% 42.41/28.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23428, 23427])).
% 42.41/28.08 tff(23430,plain,
% 42.41/28.08 (v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23429, 465, 19400])).
% 42.41/28.08 tff(23431,plain,
% 42.41/28.08 (v90(constB140, bitIndex0) | (~v90(constB141, bitIndex0))),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23430, 19412])).
% 42.41/28.08 tff(23432,plain,
% 42.41/28.08 (~v90(constB141, bitIndex0)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23431, 23423])).
% 42.41/28.08 tff(23433,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23434,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 42.41/28.08 inference(quant_inst,[status(thm)],[])).
% 42.41/28.08 tff(23435,plain,
% 42.41/28.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1))),
% 42.41/28.08 inference(modus_ponens,[status(thm)],[23434, 23433])).
% 42.41/28.08 tff(23436,plain,
% 42.41/28.08 (~v130(constB139, bitIndex1)),
% 42.41/28.08 inference(unit_resolution,[status(thm)],[23435, 2281, 23356])).
% 42.41/28.08 tff(23437,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23438,plain,
% 42.41/28.08 ((v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1))) <=> ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 42.41/28.08 inference(rewrite,[status(thm)],[])).
% 42.41/28.08 tff(23439,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)))),
% 42.41/28.08 inference(monotonicity,[status(thm)],[23438])).
% 42.41/28.08 tff(23440,plain,
% 42.41/28.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 42.41/28.09 inference(transitivity,[status(thm)],[23439, 23437])).
% 42.41/28.09 tff(23441,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23442,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23441, 23440])).
% 42.41/28.09 tff(23443,plain,
% 42.41/28.09 ((~v127(constB139, bitIndex1)) | v130(constB139, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23442, 823, 19314])).
% 42.41/28.09 tff(23444,plain,
% 42.41/28.09 (~v127(constB139, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23443, 23436])).
% 42.41/28.09 tff(23445,plain,
% 42.41/28.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23446,plain,
% 42.41/28.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23447,plain,
% 42.41/28.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 42.41/28.09 tff(23448,plain,
% 42.41/28.09 (v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23447, 853, 19332])).
% 42.41/28.09 tff(23449,plain,
% 42.41/28.09 (~v129(constB140, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23448, 23444])).
% 42.41/28.09 tff(23450,plain,
% 42.41/28.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23451,plain,
% 42.41/28.09 (((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23452,plain,
% 42.41/28.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))))),
% 42.41/28.09 inference(monotonicity,[status(thm)],[23451])).
% 42.41/28.09 tff(23453,plain,
% 42.41/28.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 42.41/28.09 inference(transitivity,[status(thm)],[23452, 23450])).
% 42.41/28.09 tff(23454,plain,
% 42.41/28.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23455,plain,
% 42.41/28.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23454, 23453])).
% 42.41/28.09 tff(23456,plain,
% 42.41/28.09 ((~v90(constB140, bitIndex1)) | (~v100(constB140))),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23455, 868, 23449])).
% 42.41/28.09 tff(23457,plain,
% 42.41/28.09 (~v90(constB140, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23456, 23367])).
% 42.41/28.09 tff(23458,plain,
% 42.41/28.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23459,plain,
% 42.41/28.09 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23460,plain,
% 42.41/28.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))))),
% 42.41/28.09 inference(monotonicity,[status(thm)],[23459])).
% 42.41/28.09 tff(23461,plain,
% 42.41/28.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(transitivity,[status(thm)],[23460, 23458])).
% 42.41/28.09 tff(23462,plain,
% 42.41/28.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23463,plain,
% 42.41/28.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23462, 23461])).
% 42.41/28.09 tff(23464,plain,
% 42.41/28.09 (v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23463, 444, 19400])).
% 42.41/28.09 tff(23465,plain,
% 42.41/28.09 (v90(constB140, bitIndex1) | (~v90(constB141, bitIndex1))),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23464, 19412])).
% 42.41/28.09 tff(23466,plain,
% 42.41/28.09 (~v90(constB141, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23465, 23457])).
% 42.41/28.09 tff(23467,assumption,(~v123(constB141)), introduced(assumption)).
% 42.41/28.09 tff(23468,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23469,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23470,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141)),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 42.41/28.09 tff(23471,plain,
% 42.41/28.09 (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2))),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23470, 979, 23467])).
% 42.41/28.09 tff(23472,plain,
% 42.41/28.09 ($false),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23471, 23466, 23432, 23398])).
% 42.41/28.09 tff(23473,plain,((~v122(constB139)) | v123(constB141)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.09 tff(23474,plain,
% 42.41/28.09 (~v122(constB139)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23473, 23355])).
% 42.41/28.09 tff(23475,assumption,(v123(constB139)), introduced(assumption)).
% 42.41/28.09 tff(23476,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v123(constB139)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v123(constB139)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23477,plain,
% 42.41/28.09 (((~v123(constB139)) | v115(constB139)) <=> (v115(constB139) | (~v123(constB139)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23478,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v123(constB139))))),
% 42.41/28.09 inference(monotonicity,[status(thm)],[23477])).
% 42.41/28.09 tff(23479,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v123(constB139)))),
% 42.41/28.09 inference(transitivity,[status(thm)],[23478, 23476])).
% 42.41/28.09 tff(23480,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB139)) | v115(constB139))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23481,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v123(constB139))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23480, 23479])).
% 42.41/28.09 tff(23482,plain,
% 42.41/28.09 (v115(constB139)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23481, 990, 23475])).
% 42.41/28.09 tff(23483,plain,
% 42.41/28.09 (v114(constB139)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19302, 553, 23482])).
% 42.41/28.09 tff(23484,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB139)) | (~v130(constB139, bitIndex0)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23485,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB139)) | (~v130(constB139, bitIndex0)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23486,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB139)) | (~v130(constB139, bitIndex0))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23485, 23484])).
% 42.41/28.09 tff(23487,plain,
% 42.41/28.09 (~v130(constB139, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23486, 1208, 23475])).
% 42.41/28.09 tff(23488,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB139)) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB139)) | v130(constB139, bitIndex1))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23489,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB139)) | v130(constB139, bitIndex1))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23490,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB139)) | v130(constB139, bitIndex1)),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23489, 23488])).
% 42.41/28.09 tff(23491,plain,
% 42.41/28.09 (v130(constB139, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23490, 1130, 23475])).
% 42.41/28.09 tff(23492,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB139)) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB139)) | v130(constB139, bitIndex2))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23493,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB139)) | v130(constB139, bitIndex2))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23494,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB139)) | v130(constB139, bitIndex2)),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23493, 23492])).
% 42.41/28.09 tff(23495,plain,
% 42.41/28.09 (v130(constB139, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23494, 1074, 23475])).
% 42.41/28.09 tff(23496,assumption,(~v26(constB139)), introduced(assumption)).
% 42.41/28.09 tff(23497,assumption,(v113(constB139)), introduced(assumption)).
% 42.41/28.09 tff(23498,plain,
% 42.41/28.09 (v26(constB139) | v112(constB139)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19320, 581, 23497])).
% 42.41/28.09 tff(23499,plain,
% 42.41/28.09 (v112(constB139)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23498, 23496])).
% 42.41/28.09 tff(23500,plain,
% 42.41/28.09 (v108(constB139)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19328, 746, 23499])).
% 42.41/28.09 tff(23501,plain,
% 42.41/28.09 (v110(constB140)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19339, 23500])).
% 42.41/28.09 tff(23502,plain,
% 42.41/28.09 (v100(constB140)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19371, 23501])).
% 42.41/28.09 tff(23503,assumption,(v130(constB139, bitIndex2)), introduced(assumption)).
% 42.41/28.09 tff(23504,plain,
% 42.41/28.09 (v26(constB139) | v127(constB139, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23374, 607, 23503])).
% 42.41/28.09 tff(23505,plain,
% 42.41/28.09 (v127(constB139, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23504, 23496])).
% 42.41/28.09 tff(23506,plain,
% 42.41/28.09 (v129(constB140, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23380, 23505])).
% 42.41/28.09 tff(23507,plain,
% 42.41/28.09 (v90(constB140, bitIndex2) | (~v100(constB140))),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23387, 641, 23506])).
% 42.41/28.09 tff(23508,plain,
% 42.41/28.09 (v90(constB140, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23507, 23502])).
% 42.41/28.09 tff(23509,plain,
% 42.41/28.09 (v90(constB141, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23397, 23508])).
% 42.41/28.09 tff(23510,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB141)) | (~v90(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB141)) | (~v90(constB141, bitIndex2)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23511,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB141)) | (~v90(constB141, bitIndex2)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23512,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB141)) | (~v90(constB141, bitIndex2))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23511, 23510])).
% 42.41/28.09 tff(23513,plain,
% 42.41/28.09 (~v121(constB141)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23512, 1336, 23509])).
% 42.41/28.09 tff(23514,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB141)) | (~v90(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB141)) | (~v90(constB141, bitIndex2)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23515,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB141)) | (~v90(constB141, bitIndex2)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23516,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB141)) | (~v90(constB141, bitIndex2))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23515, 23514])).
% 42.41/28.09 tff(23517,plain,
% 42.41/28.09 (~v122(constB141)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23516, 1347, 23509])).
% 42.41/28.09 tff(23518,assumption,(v130(constB139, bitIndex1)), introduced(assumption)).
% 42.41/28.09 tff(23519,plain,
% 42.41/28.09 (v26(constB139) | v127(constB139, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19459, 1144, 23518])).
% 42.41/28.09 tff(23520,plain,
% 42.41/28.09 (v127(constB139, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23519, 23496])).
% 42.41/28.09 tff(23521,plain,
% 42.41/28.09 (v129(constB140, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19465, 23520])).
% 42.41/28.09 tff(23522,plain,
% 42.41/28.09 (v90(constB140, bitIndex1) | (~v100(constB140))),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19472, 1174, 23521])).
% 42.41/28.09 tff(23523,plain,
% 42.41/28.09 (v90(constB140, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23522, 23502])).
% 42.41/28.09 tff(23524,plain,
% 42.41/28.09 (v90(constB141, bitIndex1)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19482, 23523])).
% 42.41/28.09 tff(23525,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB141)) | (~v90(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB141)) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23526,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB141)) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23527,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB141)) | (~v90(constB141, bitIndex1))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23526, 23525])).
% 42.41/28.09 tff(23528,plain,
% 42.41/28.09 (~v124(constB141)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23527, 1369, 23524])).
% 42.41/28.09 tff(23529,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB141)) | (~v90(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB141)) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23530,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB141)) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23531,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB141)) | (~v90(constB141, bitIndex1))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23530, 23529])).
% 42.41/28.09 tff(23532,plain,
% 42.41/28.09 (~v120(constB141)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23531, 1391, 23524])).
% 42.41/28.09 tff(23533,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB141)) | (~v90(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB141)) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23534,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB141)) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23535,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB141)) | (~v90(constB141, bitIndex1))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23534, 23533])).
% 42.41/28.09 tff(23536,plain,
% 42.41/28.09 (~v119(constB141)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23535, 1380, 23524])).
% 42.41/28.09 tff(23537,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v90(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23538,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v90(constB141, bitIndex1)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23539,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v90(constB141, bitIndex1))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23538, 23537])).
% 42.41/28.09 tff(23540,plain,
% 42.41/28.09 (~v123(constB141)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23539, 1358, 23524])).
% 42.41/28.09 tff(23541,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex2)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23542,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex2)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23543,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex2))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23542, 23541])).
% 42.41/28.09 tff(23544,plain,
% 42.41/28.09 (~v130(constB141, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23543, 1405, 23540, 23536, 23532, 23528, 23517, 23513])).
% 42.41/28.09 tff(23545,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23546,plain,
% 42.41/28.09 ((v26(constB141) | v130(constB141, bitIndex2) | (~v127(constB141, bitIndex2))) <=> ((~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23547,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB141) | v130(constB141, bitIndex2) | (~v127(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2)))),
% 42.41/28.09 inference(monotonicity,[status(thm)],[23546])).
% 42.41/28.09 tff(23548,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB141) | v130(constB141, bitIndex2) | (~v127(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2))),
% 42.41/28.09 inference(transitivity,[status(thm)],[23547, 23545])).
% 42.41/28.09 tff(23549,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB141) | v130(constB141, bitIndex2) | (~v127(constB141, bitIndex2)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23550,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB141, bitIndex2)) | v26(constB141) | v130(constB141, bitIndex2)),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23549, 23548])).
% 42.41/28.09 tff(23551,plain,
% 42.41/28.09 ((~v127(constB141, bitIndex2)) | v130(constB141, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23550, 1419, 19652])).
% 42.41/28.09 tff(23552,plain,
% 42.41/28.09 (~v127(constB141, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23551, 23544])).
% 42.41/28.09 tff(23553,plain,
% 42.41/28.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23554,plain,
% 42.41/28.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23555,plain,
% 42.41/28.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23554, 23553])).
% 42.41/28.09 tff(23556,plain,
% 42.41/28.09 (v127(constB141, bitIndex2) | (~v129(constB142, bitIndex2))),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23555, 1437, 19604])).
% 42.41/28.09 tff(23557,plain,
% 42.41/28.09 (~v129(constB142, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23556, 23552])).
% 42.41/28.09 tff(23558,assumption,(~v130(constB139, bitIndex0)), introduced(assumption)).
% 42.41/28.09 tff(23559,plain,
% 42.41/28.09 ((~v127(constB139, bitIndex0)) | v26(constB139)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23408, 907, 23558])).
% 42.41/28.09 tff(23560,plain,
% 42.41/28.09 (~v127(constB139, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23559, 23496])).
% 42.41/28.09 tff(23561,plain,
% 42.41/28.09 (~v129(constB140, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23414, 23560])).
% 42.41/28.09 tff(23562,plain,
% 42.41/28.09 ((~v90(constB140, bitIndex0)) | (~v100(constB140))),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23421, 952, 23561])).
% 42.41/28.09 tff(23563,plain,
% 42.41/28.09 (~v90(constB140, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23562, 23502])).
% 42.41/28.09 tff(23564,plain,
% 42.41/28.09 (~v90(constB141, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23431, 23563])).
% 42.41/28.09 tff(23565,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex2)) | v125(constB141))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex2)) | v125(constB141))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23566,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex2)) | v125(constB141))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23567,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex2)) | v125(constB141)),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23566, 23565])).
% 42.41/28.09 tff(23568,plain,
% 42.41/28.09 (v125(constB141)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23567, 1252, 23564, 23524, 23509])).
% 42.41/28.09 tff(23569,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v125(constB141)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v125(constB141)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23570,plain,
% 42.41/28.09 (((~v125(constB141)) | v113(constB141)) <=> (v113(constB141) | (~v125(constB141)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23571,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v125(constB141))))),
% 42.41/28.09 inference(monotonicity,[status(thm)],[23570])).
% 42.41/28.09 tff(23572,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v125(constB141)))),
% 42.41/28.09 inference(transitivity,[status(thm)],[23571, 23569])).
% 42.41/28.09 tff(23573,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB141)) | v113(constB141))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23574,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v125(constB141))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23573, 23572])).
% 42.41/28.09 tff(23575,plain,
% 42.41/28.09 (v113(constB141)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23574, 1263, 23568])).
% 42.41/28.09 tff(23576,plain,
% 42.41/28.09 (v108(constB141)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19600, 23575])).
% 42.41/28.09 tff(23577,plain,
% 42.41/28.09 (v110(constB142)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19611, 23576])).
% 42.41/28.09 tff(23578,plain,
% 42.41/28.09 (v100(constB142)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19643, 23577])).
% 42.41/28.09 tff(23579,plain,
% 42.41/28.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23580,plain,
% 42.41/28.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23581,plain,
% 42.41/28.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB142, bitIndex2)) | v129(constB142, bitIndex2) | (~v100(constB142))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23580, 23579])).
% 42.41/28.09 tff(23582,plain,
% 42.41/28.09 (~v90(constB142, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23581, 1452, 23578, 23557])).
% 42.41/28.09 tff(23583,plain,
% 42.41/28.09 (~v90(constB143, bitIndex2)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23202, 23582])).
% 42.41/28.09 tff(23584,plain,
% 42.41/28.09 (v130(constB141, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[19557, 1538, 23540, 23536, 23532, 23528, 23517, 23513])).
% 42.41/28.09 tff(23585,plain,
% 42.41/28.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23586,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23587,plain,
% 42.41/28.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23586, 23585])).
% 42.41/28.09 tff(23588,plain,
% 42.41/28.09 ((~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23587, 1552, 19652])).
% 42.41/28.09 tff(23589,plain,
% 42.41/28.09 (v127(constB141, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23588, 23584])).
% 42.41/28.09 tff(23590,plain,
% 42.41/28.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23591,plain,
% 42.41/28.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23592,plain,
% 42.41/28.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23591, 23590])).
% 42.41/28.09 tff(23593,plain,
% 42.41/28.09 ((~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23592, 1567, 19604])).
% 42.41/28.09 tff(23594,plain,
% 42.41/28.09 (v129(constB142, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23593, 23589])).
% 42.41/28.09 tff(23595,plain,
% 42.41/28.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23596,plain,
% 42.41/28.09 ((v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23597,plain,
% 42.41/28.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))))),
% 42.41/28.09 inference(monotonicity,[status(thm)],[23596])).
% 42.41/28.09 tff(23598,plain,
% 42.41/28.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 42.41/28.09 inference(transitivity,[status(thm)],[23597, 23595])).
% 42.41/28.09 tff(23599,plain,
% 42.41/28.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))),
% 42.41/28.09 inference(quant_inst,[status(thm)],[])).
% 42.41/28.09 tff(23600,plain,
% 42.41/28.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))),
% 42.41/28.09 inference(modus_ponens,[status(thm)],[23599, 23598])).
% 42.41/28.09 tff(23601,plain,
% 42.41/28.09 (v90(constB142, bitIndex0)),
% 42.41/28.09 inference(unit_resolution,[status(thm)],[23600, 1582, 23578, 23594])).
% 42.41/28.09 tff(23602,plain,
% 42.41/28.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23603,plain,
% 42.41/28.09 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 42.41/28.09 inference(rewrite,[status(thm)],[])).
% 42.41/28.09 tff(23604,plain,
% 42.41/28.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)))),
% 42.41/28.10 inference(monotonicity,[status(thm)],[23603])).
% 42.41/28.10 tff(23605,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 42.41/28.10 inference(transitivity,[status(thm)],[23604, 23602])).
% 42.41/28.10 tff(23606,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23607,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23606, 23605])).
% 42.41/28.10 tff(23608,plain,
% 42.41/28.10 ((~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23607, 1600, 19676])).
% 42.41/28.10 tff(23609,plain,
% 42.41/28.10 ((~v90(constB142, bitIndex0)) | v90(constB143, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23608, 19688])).
% 42.41/28.10 tff(23610,plain,
% 42.41/28.10 (v90(constB143, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23609, 23601])).
% 42.41/28.10 tff(23611,plain,
% 42.41/28.10 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex1)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23612,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex1)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23613,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, bitIndex1))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23612, 23611])).
% 42.41/28.10 tff(23614,plain,
% 42.41/28.10 (~v130(constB141, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23613, 1494, 23540, 23536, 23532, 23528, 23517, 23513])).
% 42.41/28.10 tff(23615,plain,
% 42.41/28.10 (~v127(constB141, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19708, 23614])).
% 42.41/28.10 tff(23616,plain,
% 42.41/28.10 (~v129(constB142, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19713, 23615])).
% 42.41/28.10 tff(23617,plain,
% 42.41/28.10 (~v90(constB142, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19720, 868, 23578, 23616])).
% 42.41/28.10 tff(23618,plain,
% 42.41/28.10 (~v90(constB143, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19730, 23617])).
% 42.41/28.10 tff(23619,plain,
% 42.41/28.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23620,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23621,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2) | v120(constB143)),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23620, 23619])).
% 42.41/28.10 tff(23622,plain,
% 42.41/28.10 ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | v90(constB143, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23621, 1619, 23160])).
% 42.41/28.10 tff(23623,plain,
% 42.41/28.10 ($false),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23622, 23618, 23610, 23583])).
% 42.41/28.10 tff(23624,plain,(v26(constB139) | v120(constB143) | (~v113(constB139)) | (~v130(constB139, bitIndex2)) | (~v130(constB139, bitIndex1)) | v130(constB139, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.10 tff(23625,plain,
% 42.41/28.10 (v120(constB143) | (~v113(constB139)) | (~v130(constB139, bitIndex2)) | (~v130(constB139, bitIndex1)) | v130(constB139, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23624, 19314])).
% 42.41/28.10 tff(23626,plain,
% 42.41/28.10 (~v113(constB139)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23625, 23495, 23160, 23491, 23487])).
% 42.41/28.10 tff(23627,plain,
% 42.41/28.10 ($false),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19309, 567, 23626, 23483])).
% 42.41/28.10 tff(23628,plain,((~v123(constB139)) | v120(constB143)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.10 tff(23629,plain,
% 42.41/28.10 (~v123(constB139)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23628, 23115])).
% 42.41/28.10 tff(23630,assumption,(v90(constB142, bitIndex0)), introduced(assumption)).
% 42.41/28.10 tff(23631,assumption,(~v100(constB142)), introduced(assumption)).
% 42.41/28.10 tff(23632,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23633,plain,
% 42.41/28.10 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0))) <=> (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23634,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0))))),
% 42.41/28.10 inference(monotonicity,[status(thm)],[23633])).
% 42.41/28.10 tff(23635,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 42.41/28.10 inference(transitivity,[status(thm)],[23634, 23632])).
% 42.41/28.10 tff(23636,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23637,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23636, 23635])).
% 42.41/28.10 tff(23638,plain,
% 42.41/28.10 (v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0))),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23637, 465, 19604])).
% 42.41/28.10 tff(23639,plain,
% 42.41/28.10 (v90(constB141, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23638, 23631, 23630])).
% 42.41/28.10 tff(23640,plain,
% 42.41/28.10 (v90(constB140, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23431, 23639])).
% 42.41/28.10 tff(23641,assumption,(v90(constB142, bitIndex1)), introduced(assumption)).
% 42.41/28.10 tff(23642,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23643,plain,
% 42.41/28.10 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1))) <=> (v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23644,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1))))),
% 42.41/28.10 inference(monotonicity,[status(thm)],[23643])).
% 42.41/28.10 tff(23645,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 42.41/28.10 inference(transitivity,[status(thm)],[23644, 23642])).
% 42.41/28.10 tff(23646,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23647,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex1))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23646, 23645])).
% 42.41/28.10 tff(23648,plain,
% 42.41/28.10 (v90(constB141, bitIndex1) | v100(constB142) | (~v90(constB142, bitIndex1))),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23647, 444, 19604])).
% 42.41/28.10 tff(23649,plain,
% 42.41/28.10 (v90(constB141, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23648, 23631, 23641])).
% 42.41/28.10 tff(23650,plain,
% 42.41/28.10 (v90(constB140, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23465, 23649])).
% 42.41/28.10 tff(23651,assumption,(~v123(constB139)), introduced(assumption)).
% 42.41/28.10 tff(23652,assumption,(~v122(constB139)), introduced(assumption)).
% 42.41/28.10 tff(23653,assumption,(v90(constB142, bitIndex2)), introduced(assumption)).
% 42.41/28.10 tff(23654,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23655,plain,
% 42.41/28.10 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2))) <=> (v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23656,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2))))),
% 42.41/28.10 inference(monotonicity,[status(thm)],[23655])).
% 42.41/28.10 tff(23657,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 42.41/28.10 inference(transitivity,[status(thm)],[23656, 23654])).
% 42.41/28.10 tff(23658,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23659,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex2))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23658, 23657])).
% 42.41/28.10 tff(23660,plain,
% 42.41/28.10 (v90(constB141, bitIndex2) | v100(constB142) | (~v90(constB142, bitIndex2))),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23659, 423, 19604])).
% 42.41/28.10 tff(23661,plain,
% 42.41/28.10 (v90(constB141, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23660, 23631, 23653])).
% 42.41/28.10 tff(23662,plain,
% 42.41/28.10 (v90(constB140, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19420, 23661])).
% 42.41/28.10 tff(23663,assumption,(v100(constB140)), introduced(assumption)).
% 42.41/28.10 tff(23664,assumption,(v90(constB140, bitIndex2)), introduced(assumption)).
% 42.41/28.10 tff(23665,plain,
% 42.41/28.10 (v129(constB140, bitIndex2) | (~v100(constB140))),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19392, 1452, 23664])).
% 42.41/28.10 tff(23666,plain,
% 42.41/28.10 (v129(constB140, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23665, 23663])).
% 42.41/28.10 tff(23667,plain,
% 42.41/28.10 (v127(constB139, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19388, 23666])).
% 42.41/28.10 tff(23668,plain,
% 42.41/28.10 (v130(constB139, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19383, 23667])).
% 42.41/28.10 tff(23669,plain,
% 42.41/28.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB139)) | (~v130(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB139)) | (~v130(constB139, bitIndex2)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23670,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB139)) | (~v130(constB139, bitIndex2)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23671,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB139)) | (~v130(constB139, bitIndex2))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23670, 23669])).
% 42.41/28.10 tff(23672,plain,
% 42.41/28.10 (~v124(constB139)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23671, 3868, 23668])).
% 42.41/28.10 tff(23673,plain,
% 42.41/28.10 (~v121(constB139)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19375, 1990, 23668])).
% 42.41/28.10 tff(23674,assumption,(v90(constB140, bitIndex0)), introduced(assumption)).
% 42.41/28.10 tff(23675,plain,
% 42.41/28.10 (v129(constB140, bitIndex0) | (~v100(constB140))),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23421, 952, 23674])).
% 42.41/28.10 tff(23676,plain,
% 42.41/28.10 (v129(constB140, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23675, 23663])).
% 42.41/28.10 tff(23677,plain,
% 42.41/28.10 (v127(constB139, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23414, 23676])).
% 42.41/28.10 tff(23678,plain,
% 42.41/28.10 (v130(constB139, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23409, 23677])).
% 42.41/28.10 tff(23679,plain,
% 42.41/28.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB139)) | (~v130(constB139, bitIndex0)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23680,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB139)) | (~v130(constB139, bitIndex0)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23681,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB139)) | (~v130(constB139, bitIndex0))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23680, 23679])).
% 42.41/28.10 tff(23682,plain,
% 42.41/28.10 (~v120(constB139)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23681, 1826, 23678])).
% 42.41/28.10 tff(23683,plain,
% 42.41/28.10 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB139)) | (~v130(constB139, bitIndex0)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23684,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB139)) | (~v130(constB139, bitIndex0)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23685,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB139)) | (~v130(constB139, bitIndex0))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23684, 23683])).
% 42.41/28.10 tff(23686,plain,
% 42.41/28.10 (~v119(constB139)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23685, 893, 23678])).
% 42.41/28.10 tff(23687,assumption,(v90(constB140, bitIndex1)), introduced(assumption)).
% 42.41/28.10 tff(23688,plain,
% 42.41/28.10 (v129(constB140, bitIndex1) | (~v100(constB140))),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23455, 868, 23687])).
% 42.41/28.10 tff(23689,plain,
% 42.41/28.10 (v129(constB140, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23688, 23663])).
% 42.41/28.10 tff(23690,plain,
% 42.41/28.10 (v127(constB139, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23448, 23689])).
% 42.41/28.10 tff(23691,plain,
% 42.41/28.10 (v130(constB139, bitIndex1)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23443, 23690])).
% 42.41/28.10 tff(23692,plain,
% 42.41/28.10 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, bitIndex1)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23693,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, bitIndex1)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23694,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, bitIndex1))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23693, 23692])).
% 42.41/28.10 tff(23695,plain,
% 42.41/28.10 (v121(constB139) | v124(constB139)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23694, 1494, 23691, 23651, 23652, 23686, 23682])).
% 42.41/28.10 tff(23696,plain,
% 42.41/28.10 ($false),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23695, 23673, 23672])).
% 42.41/28.10 tff(23697,plain,((~v100(constB140)) | v123(constB139) | v122(constB139) | (~v90(constB140, bitIndex2)) | (~v90(constB140, bitIndex1)) | (~v90(constB140, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.41/28.10 tff(23698,plain,
% 42.41/28.10 (~v100(constB140)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23697, 23662, 23652, 23651, 23650, 23640])).
% 42.41/28.10 tff(23699,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23700,plain,
% 42.41/28.10 (((~nextState(constB139, constB140)) | v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0))) <=> (v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23701,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0))))),
% 42.41/28.10 inference(monotonicity,[status(thm)],[23700])).
% 42.41/28.10 tff(23702,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0)))),
% 42.41/28.10 inference(transitivity,[status(thm)],[23701, 23699])).
% 42.41/28.10 tff(23703,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23704,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex0))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23703, 23702])).
% 42.41/28.10 tff(23705,plain,
% 42.41/28.10 (v90(constB139, bitIndex0) | v100(constB140) | (~v90(constB140, bitIndex0))),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23704, 465, 19332])).
% 42.41/28.10 tff(23706,plain,
% 42.41/28.10 (v90(constB139, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23705, 23698, 23640])).
% 42.41/28.10 tff(23707,plain,
% 42.41/28.10 (v90(constB138, bitIndex0)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19268, 23706])).
% 42.41/28.10 tff(23708,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23709,plain,
% 42.41/28.10 (((~nextState(constB139, constB140)) | v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2))) <=> (v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2)))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23710,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2))))),
% 42.41/28.10 inference(monotonicity,[status(thm)],[23709])).
% 42.41/28.10 tff(23711,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2)))),
% 42.41/28.10 inference(transitivity,[status(thm)],[23710, 23708])).
% 42.41/28.10 tff(23712,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2)))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23713,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex2))),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23712, 23711])).
% 42.41/28.10 tff(23714,plain,
% 42.41/28.10 (v90(constB139, bitIndex2) | v100(constB140) | (~v90(constB140, bitIndex2))),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23713, 423, 19332])).
% 42.41/28.10 tff(23715,plain,
% 42.41/28.10 (v90(constB139, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23714, 23698, 23662])).
% 42.41/28.10 tff(23716,plain,
% 42.41/28.10 (v90(constB138, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19259, 23715])).
% 42.41/28.10 tff(23717,assumption,(v122(constB137)), introduced(assumption)).
% 42.41/28.10 tff(23718,plain,
% 42.41/28.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB137)) | v116(constB137))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23719,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB137)) | v116(constB137))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23720,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB137)) | v116(constB137)),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23719, 23718])).
% 42.41/28.10 tff(23721,plain,
% 42.41/28.10 (v116(constB137)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23720, 2140, 23717])).
% 42.41/28.10 tff(23722,plain,
% 42.41/28.10 (v115(constB137)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19013, 539, 23721])).
% 42.41/28.10 tff(23723,plain,
% 42.41/28.10 (v114(constB137)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19020, 553, 23722])).
% 42.41/28.10 tff(23724,plain,
% 42.41/28.10 (v113(constB137)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19024, 567, 23723])).
% 42.41/28.10 tff(23725,plain,
% 42.41/28.10 (v108(constB137)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19047, 23724])).
% 42.41/28.10 tff(23726,plain,
% 42.41/28.10 (v110(constB138)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19055, 23725])).
% 42.41/28.10 tff(23727,plain,
% 42.41/28.10 (v100(constB138)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[19087, 23726])).
% 42.41/28.10 tff(23728,plain,
% 42.41/28.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB137)) | v130(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB137)) | v130(constB137, bitIndex2))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23729,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB137)) | v130(constB137, bitIndex2))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23730,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB137)) | v130(constB137, bitIndex2)),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23729, 23728])).
% 42.41/28.10 tff(23731,plain,
% 42.41/28.10 (v130(constB137, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23730, 2224, 23717])).
% 42.41/28.10 tff(23732,plain,
% 42.41/28.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB137) | (~v130(constB137, bitIndex2)) | v127(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB137) | (~v130(constB137, bitIndex2)) | v127(constB137, bitIndex2))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23733,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB137) | (~v130(constB137, bitIndex2)) | v127(constB137, bitIndex2))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23734,plain,
% 42.41/28.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB137) | (~v130(constB137, bitIndex2)) | v127(constB137, bitIndex2)),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23733, 23732])).
% 42.41/28.10 tff(23735,plain,
% 42.41/28.10 ((~v130(constB137, bitIndex2)) | v127(constB137, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23734, 607, 18975])).
% 42.41/28.10 tff(23736,plain,
% 42.41/28.10 (v127(constB137, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23735, 23731])).
% 42.41/28.10 tff(23737,plain,
% 42.41/28.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex2)) | v129(constB138, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex2)) | v129(constB138, bitIndex2))),
% 42.41/28.10 inference(rewrite,[status(thm)],[])).
% 42.41/28.10 tff(23738,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex2)) | v129(constB138, bitIndex2))),
% 42.41/28.10 inference(quant_inst,[status(thm)],[])).
% 42.41/28.10 tff(23739,plain,
% 42.41/28.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex2)) | v129(constB138, bitIndex2)),
% 42.41/28.10 inference(modus_ponens,[status(thm)],[23738, 23737])).
% 42.41/28.10 tff(23740,plain,
% 42.41/28.10 ((~v127(constB137, bitIndex2)) | v129(constB138, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23739, 625, 18983])).
% 42.41/28.10 tff(23741,plain,
% 42.41/28.10 (v129(constB138, bitIndex2)),
% 42.41/28.10 inference(unit_resolution,[status(thm)],[23740, 23736])).
% 42.41/28.10 tff(23742,plain,
% 42.41/28.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~v129(constB138, bitIndex2)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~v129(constB138, bitIndex2)) | (~v100(constB138)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23743,plain,
% 42.41/28.11 ((v90(constB138, bitIndex2) | (~v100(constB138)) | (~v129(constB138, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~v129(constB138, bitIndex2)) | (~v100(constB138)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23744,plain,
% 42.41/28.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~v100(constB138)) | (~v129(constB138, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~v129(constB138, bitIndex2)) | (~v100(constB138))))),
% 42.41/28.11 inference(monotonicity,[status(thm)],[23743])).
% 42.41/28.11 tff(23745,plain,
% 42.41/28.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~v100(constB138)) | (~v129(constB138, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~v129(constB138, bitIndex2)) | (~v100(constB138)))),
% 42.41/28.11 inference(transitivity,[status(thm)],[23744, 23742])).
% 42.41/28.11 tff(23746,plain,
% 42.41/28.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~v100(constB138)) | (~v129(constB138, bitIndex2)))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23747,plain,
% 42.41/28.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~v129(constB138, bitIndex2)) | (~v100(constB138))),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23746, 23745])).
% 42.41/28.11 tff(23748,plain,
% 42.41/28.11 (v90(constB138, bitIndex2) | (~v100(constB138))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23747, 641, 23741])).
% 42.41/28.11 tff(23749,plain,
% 42.41/28.11 (v90(constB138, bitIndex2)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23748, 23727])).
% 42.41/28.11 tff(23750,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex2))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23751,plain,
% 42.41/28.11 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex2)) | v100(constB139) | v90(constB139, bitIndex2)) <=> ((~v90(constB138, bitIndex2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex2))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23752,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex2)) | v100(constB139) | v90(constB139, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex2)))),
% 42.41/28.11 inference(monotonicity,[status(thm)],[23751])).
% 42.41/28.11 tff(23753,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex2)) | v100(constB139) | v90(constB139, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex2))),
% 42.41/28.11 inference(transitivity,[status(thm)],[23752, 23750])).
% 42.41/28.11 tff(23754,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex2)) | v100(constB139) | v90(constB139, bitIndex2))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23755,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex2)),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23754, 23753])).
% 42.41/28.11 tff(23756,plain,
% 42.41/28.11 ((~v90(constB138, bitIndex2)) | v100(constB139) | v90(constB139, bitIndex2)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23755, 783, 19208])).
% 42.41/28.11 tff(23757,plain,
% 42.41/28.11 ((~v90(constB138, bitIndex2)) | v90(constB139, bitIndex2)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23756, 19220])).
% 42.41/28.11 tff(23758,plain,
% 42.41/28.11 (v90(constB139, bitIndex2)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23757, 23749])).
% 42.41/28.11 tff(23759,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB137)) | (~v130(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB137)) | (~v130(constB137, bitIndex0)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23760,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB137)) | (~v130(constB137, bitIndex0)))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23761,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB137)) | (~v130(constB137, bitIndex0))),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23760, 23759])).
% 42.41/28.11 tff(23762,plain,
% 42.41/28.11 (~v130(constB137, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23761, 2327, 23717])).
% 42.41/28.11 tff(23763,plain,
% 42.41/28.11 ((~v127(constB137, bitIndex0)) | v130(constB137, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19112, 907, 18975])).
% 42.41/28.11 tff(23764,plain,
% 42.41/28.11 (~v127(constB137, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23763, 23762])).
% 42.41/28.11 tff(23765,plain,
% 42.41/28.11 (~v129(constB138, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19101, 23764])).
% 42.41/28.11 tff(23766,plain,
% 42.41/28.11 ((~v90(constB138, bitIndex0)) | (~v100(constB138))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19095, 952, 23765])).
% 42.41/28.11 tff(23767,plain,
% 42.41/28.11 (~v90(constB138, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23766, 23727])).
% 42.41/28.11 tff(23768,plain,
% 42.41/28.11 (~v90(constB139, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19268, 23767])).
% 42.41/28.11 tff(23769,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB137)) | (~v130(constB137, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB137)) | (~v130(constB137, bitIndex1)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23770,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB137)) | (~v130(constB137, bitIndex1)))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23771,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB137)) | (~v130(constB137, bitIndex1))),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23770, 23769])).
% 42.41/28.11 tff(23772,plain,
% 42.41/28.11 (~v130(constB137, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23771, 2281, 23717])).
% 42.41/28.11 tff(23773,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23774,plain,
% 42.41/28.11 ((v26(constB137) | v130(constB137, bitIndex1) | (~v127(constB137, bitIndex1))) <=> ((~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23775,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB137) | v130(constB137, bitIndex1) | (~v127(constB137, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1)))),
% 42.41/28.11 inference(monotonicity,[status(thm)],[23774])).
% 42.41/28.11 tff(23776,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB137) | v130(constB137, bitIndex1) | (~v127(constB137, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1))),
% 42.41/28.11 inference(transitivity,[status(thm)],[23775, 23773])).
% 42.41/28.11 tff(23777,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB137) | v130(constB137, bitIndex1) | (~v127(constB137, bitIndex1)))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23778,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1)),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23777, 23776])).
% 42.41/28.11 tff(23779,plain,
% 42.41/28.11 ((~v127(constB137, bitIndex1)) | v130(constB137, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23778, 823, 18975])).
% 42.41/28.11 tff(23780,plain,
% 42.41/28.11 (~v127(constB137, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23779, 23772])).
% 42.41/28.11 tff(23781,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23782,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1)))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23783,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1))),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23782, 23781])).
% 42.41/28.11 tff(23784,plain,
% 42.41/28.11 (v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23783, 853, 18983])).
% 42.41/28.11 tff(23785,plain,
% 42.41/28.11 (~v129(constB138, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23784, 23780])).
% 42.41/28.11 tff(23786,plain,
% 42.41/28.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23787,plain,
% 42.41/28.11 (((~v90(constB138, bitIndex1)) | (~v100(constB138)) | v129(constB138, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23788,plain,
% 42.41/28.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~v100(constB138)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138))))),
% 42.41/28.11 inference(monotonicity,[status(thm)],[23787])).
% 42.41/28.11 tff(23789,plain,
% 42.41/28.11 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~v100(constB138)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138)))),
% 42.41/28.11 inference(transitivity,[status(thm)],[23788, 23786])).
% 42.41/28.11 tff(23790,plain,
% 42.41/28.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~v100(constB138)) | v129(constB138, bitIndex1))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23791,plain,
% 42.41/28.11 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138))),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23790, 23789])).
% 42.41/28.11 tff(23792,plain,
% 42.41/28.11 ((~v90(constB138, bitIndex1)) | (~v100(constB138))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23791, 868, 23785])).
% 42.41/28.11 tff(23793,plain,
% 42.41/28.11 (~v90(constB138, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23792, 23727])).
% 42.41/28.11 tff(23794,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex1)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23795,plain,
% 42.41/28.11 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex1) | v100(constB139) | (~v90(constB139, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex1)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23796,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex1) | v100(constB139) | (~v90(constB139, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex1))))),
% 42.41/28.11 inference(monotonicity,[status(thm)],[23795])).
% 42.41/28.11 tff(23797,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex1) | v100(constB139) | (~v90(constB139, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex1)))),
% 42.41/28.11 inference(transitivity,[status(thm)],[23796, 23794])).
% 42.41/28.11 tff(23798,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex1) | v100(constB139) | (~v90(constB139, bitIndex1)))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23799,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex1))),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23798, 23797])).
% 42.41/28.11 tff(23800,plain,
% 42.41/28.11 (v90(constB138, bitIndex1) | v100(constB139) | (~v90(constB139, bitIndex1))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23799, 444, 19208])).
% 42.41/28.11 tff(23801,plain,
% 42.41/28.11 (v90(constB138, bitIndex1) | (~v90(constB139, bitIndex1))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23800, 19220])).
% 42.41/28.11 tff(23802,plain,
% 42.41/28.11 (~v90(constB139, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23801, 23793])).
% 42.41/28.11 tff(23803,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB139, bitIndex0) | v90(constB139, bitIndex1) | (~v90(constB139, bitIndex2)) | v123(constB139))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB139, bitIndex0) | v90(constB139, bitIndex1) | (~v90(constB139, bitIndex2)) | v123(constB139))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23804,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB139, bitIndex0) | v90(constB139, bitIndex1) | (~v90(constB139, bitIndex2)) | v123(constB139))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23805,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB139, bitIndex0) | v90(constB139, bitIndex1) | (~v90(constB139, bitIndex2)) | v123(constB139)),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23804, 23803])).
% 42.41/28.11 tff(23806,plain,
% 42.41/28.11 (v90(constB139, bitIndex0) | v90(constB139, bitIndex1) | (~v90(constB139, bitIndex2))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23805, 979, 23651])).
% 42.41/28.11 tff(23807,plain,
% 42.41/28.11 ($false),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23806, 23802, 23768, 23758])).
% 42.41/28.11 tff(23808,plain,((~v122(constB137)) | v123(constB139)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.11 tff(23809,plain,
% 42.41/28.11 (~v122(constB137)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23808, 23651])).
% 42.41/28.11 tff(23810,assumption,(v121(constB137)), introduced(assumption)).
% 42.41/28.11 tff(23811,plain,
% 42.41/28.11 (v117(constB137)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19141, 1881, 23810])).
% 42.41/28.11 tff(23812,plain,
% 42.41/28.11 (v116(constB137)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19006, 525, 23811])).
% 42.41/28.11 tff(23813,plain,
% 42.41/28.11 (v115(constB137)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19013, 539, 23812])).
% 42.41/28.11 tff(23814,plain,
% 42.41/28.11 (v114(constB137)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19020, 553, 23813])).
% 42.41/28.11 tff(23815,plain,
% 42.41/28.11 (v113(constB137)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19024, 567, 23814])).
% 42.41/28.11 tff(23816,plain,
% 42.41/28.11 (v108(constB137)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19047, 23815])).
% 42.41/28.11 tff(23817,plain,
% 42.41/28.11 (v110(constB138)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19055, 23816])).
% 42.41/28.11 tff(23818,plain,
% 42.41/28.11 (v100(constB138)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19087, 23817])).
% 42.41/28.11 tff(23819,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23820,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23821,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2))),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23820, 23819])).
% 42.41/28.11 tff(23822,plain,
% 42.41/28.11 (~v130(constB137, bitIndex2)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23821, 1990, 23810])).
% 42.41/28.11 tff(23823,plain,
% 42.41/28.11 (~v127(constB137, bitIndex2)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19240, 23822])).
% 42.41/28.11 tff(23824,plain,
% 42.41/28.11 (~v129(constB138, bitIndex2)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19245, 23823])).
% 42.41/28.11 tff(23825,plain,
% 42.41/28.11 ((~v90(constB138, bitIndex2)) | (~v100(constB138))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19249, 1452, 23824])).
% 42.41/28.11 tff(23826,plain,
% 42.41/28.11 (~v90(constB138, bitIndex2)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23825, 23818])).
% 42.41/28.11 tff(23827,plain,
% 42.41/28.11 (~v90(constB139, bitIndex2)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19259, 23826])).
% 42.41/28.11 tff(23828,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23829,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23830,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0)),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23829, 23828])).
% 42.41/28.11 tff(23831,plain,
% 42.41/28.11 (v130(constB137, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23830, 2088, 23810])).
% 42.41/28.11 tff(23832,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23833,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23834,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23833, 23832])).
% 42.41/28.11 tff(23835,plain,
% 42.41/28.11 ((~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23834, 1552, 18975])).
% 42.41/28.11 tff(23836,plain,
% 42.41/28.11 (v127(constB137, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23835, 23831])).
% 42.41/28.11 tff(23837,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23838,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23839,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 42.41/28.11 tff(23840,plain,
% 42.41/28.11 ((~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23839, 1567, 18983])).
% 42.41/28.11 tff(23841,plain,
% 42.41/28.11 (v129(constB138, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23840, 23836])).
% 42.41/28.11 tff(23842,plain,
% 42.41/28.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23843,plain,
% 42.41/28.11 ((v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23844,plain,
% 42.41/28.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))))),
% 42.41/28.11 inference(monotonicity,[status(thm)],[23843])).
% 42.41/28.11 tff(23845,plain,
% 42.41/28.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 42.41/28.11 inference(transitivity,[status(thm)],[23844, 23842])).
% 42.41/28.11 tff(23846,plain,
% 42.41/28.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23847,plain,
% 42.41/28.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23846, 23845])).
% 42.41/28.11 tff(23848,plain,
% 42.41/28.11 (v90(constB138, bitIndex0) | (~v100(constB138))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23847, 1582, 23841])).
% 42.41/28.11 tff(23849,plain,
% 42.41/28.11 (v90(constB138, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23848, 23818])).
% 42.41/28.11 tff(23850,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23851,plain,
% 42.41/28.11 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23852,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)))),
% 42.41/28.11 inference(monotonicity,[status(thm)],[23851])).
% 42.41/28.11 tff(23853,plain,
% 42.41/28.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 42.41/28.11 inference(transitivity,[status(thm)],[23852, 23850])).
% 42.41/28.11 tff(23854,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23855,plain,
% 42.41/28.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 42.41/28.11 tff(23856,plain,
% 42.41/28.11 ((~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23855, 1600, 19208])).
% 42.41/28.11 tff(23857,plain,
% 42.41/28.11 ((~v90(constB138, bitIndex0)) | v90(constB139, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23856, 19220])).
% 42.41/28.11 tff(23858,plain,
% 42.41/28.11 (v90(constB139, bitIndex0)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23857, 23849])).
% 42.41/28.11 tff(23859,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23860,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23861,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1)),
% 42.41/28.11 inference(modus_ponens,[status(thm)],[23860, 23859])).
% 42.41/28.11 tff(23862,plain,
% 42.41/28.11 (v130(constB137, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23861, 2050, 23810])).
% 42.41/28.11 tff(23863,plain,
% 42.41/28.11 (v127(constB137, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[18979, 23862])).
% 42.41/28.11 tff(23864,plain,
% 42.41/28.11 (v129(constB138, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[18987, 23863])).
% 42.41/28.11 tff(23865,plain,
% 42.41/28.11 (v90(constB138, bitIndex1) | (~v100(constB138))),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19200, 1174, 23864])).
% 42.41/28.11 tff(23866,plain,
% 42.41/28.11 (v90(constB138, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[23865, 23818])).
% 42.41/28.11 tff(23867,plain,
% 42.41/28.11 (v90(constB139, bitIndex1)),
% 42.41/28.11 inference(unit_resolution,[status(thm)],[19228, 23866])).
% 42.41/28.11 tff(23868,plain,
% 42.41/28.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 42.41/28.11 inference(rewrite,[status(thm)],[])).
% 42.41/28.11 tff(23869,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 42.41/28.11 inference(quant_inst,[status(thm)],[])).
% 42.41/28.11 tff(23870,plain,
% 42.41/28.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139)),
% 42.41/28.12 inference(modus_ponens,[status(thm)],[23869, 23868])).
% 42.41/28.12 tff(23871,plain,
% 42.41/28.12 ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2)),
% 42.41/28.12 inference(unit_resolution,[status(thm)],[23870, 2129, 23652])).
% 42.41/28.12 tff(23872,plain,
% 42.41/28.12 ($false),
% 42.41/28.12 inference(unit_resolution,[status(thm)],[23871, 23867, 23858, 23827])).
% 42.41/28.12 tff(23873,plain,((~v121(constB137)) | v122(constB139)), inference(lemma,lemma(discharge,[]))).
% 42.41/28.12 tff(23874,plain,
% 42.41/28.12 (~v121(constB137)),
% 42.41/28.12 inference(unit_resolution,[status(thm)],[23873, 23652])).
% 42.41/28.12 tff(23875,plain,
% 42.41/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex1)))),
% 42.41/28.12 inference(rewrite,[status(thm)],[])).
% 42.41/28.12 tff(23876,plain,
% 42.41/28.12 (((~nextState(constB139, constB140)) | v90(constB139, bitIndex1) | v100(constB140) | (~v90(constB140, bitIndex1))) <=> (v90(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex1)))),
% 42.41/28.12 inference(rewrite,[status(thm)],[])).
% 42.41/28.12 tff(23877,plain,
% 42.41/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex1) | v100(constB140) | (~v90(constB140, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex1))))),
% 42.41/28.12 inference(monotonicity,[status(thm)],[23876])).
% 42.41/28.12 tff(23878,plain,
% 42.41/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex1) | v100(constB140) | (~v90(constB140, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex1)))),
% 42.41/28.12 inference(transitivity,[status(thm)],[23877, 23875])).
% 42.41/28.12 tff(23879,plain,
% 42.41/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v90(constB139, bitIndex1) | v100(constB140) | (~v90(constB140, bitIndex1)))),
% 42.41/28.12 inference(quant_inst,[status(thm)],[])).
% 42.41/28.12 tff(23880,plain,
% 42.41/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB139, bitIndex1) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, bitIndex1))),
% 42.41/28.12 inference(modus_ponens,[status(thm)],[23879, 23878])).
% 42.41/28.12 tff(23881,plain,
% 42.41/28.12 (v90(constB139, bitIndex1) | v100(constB140) | (~v90(constB140, bitIndex1))),
% 42.41/28.12 inference(unit_resolution,[status(thm)],[23880, 444, 19332])).
% 42.41/28.12 tff(23882,plain,
% 42.41/28.12 (v90(constB139, bitIndex1)),
% 42.41/28.12 inference(unit_resolution,[status(thm)],[23881, 23698, 23650])).
% 42.41/28.12 tff(23883,plain,
% 42.41/28.12 (v90(constB138, bitIndex1)),
% 42.41/28.12 inference(unit_resolution,[status(thm)],[23801, 23882])).
% 42.41/28.12 tff(23884,assumption,(v100(constB138)), introduced(assumption)).
% 42.41/28.12 tff(23885,assumption,(v90(constB138, bitIndex2)), introduced(assumption)).
% 42.41/28.12 tff(23886,plain,
% 42.41/28.12 (v129(constB138, bitIndex2) | (~v100(constB138))),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[19249, 1452, 23885])).
% 42.52/28.12 tff(23887,plain,
% 42.52/28.12 (v129(constB138, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23886, 23884])).
% 42.52/28.12 tff(23888,plain,
% 42.52/28.12 (v127(constB137, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[19245, 23887])).
% 42.52/28.12 tff(23889,plain,
% 42.52/28.12 (v130(constB137, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[19240, 23888])).
% 42.52/28.12 tff(23890,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB137)) | (~v130(constB137, bitIndex2)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23891,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB137)) | (~v130(constB137, bitIndex2)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23892,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB137)) | (~v130(constB137, bitIndex2))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23891, 23890])).
% 42.52/28.12 tff(23893,plain,
% 42.52/28.12 (~v124(constB137)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23892, 3868, 23889])).
% 42.52/28.12 tff(23894,plain,
% 42.52/28.12 (v129(constB138, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[19096, 23884])).
% 42.52/28.12 tff(23895,plain,
% 42.52/28.12 (v127(constB137, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[19101, 23894])).
% 42.52/28.12 tff(23896,plain,
% 42.52/28.12 (v130(constB137, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23763, 23895])).
% 42.52/28.12 tff(23897,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB137)) | (~v130(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB137)) | (~v130(constB137, bitIndex0)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23898,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB137)) | (~v130(constB137, bitIndex0)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23899,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB137)) | (~v130(constB137, bitIndex0))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23898, 23897])).
% 42.52/28.12 tff(23900,plain,
% 42.52/28.12 (~v123(constB137)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23899, 1208, 23896])).
% 42.52/28.12 tff(23901,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB137)) | (~v130(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB137)) | (~v130(constB137, bitIndex0)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23902,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB137)) | (~v130(constB137, bitIndex0)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23903,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB137)) | (~v130(constB137, bitIndex0))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23902, 23901])).
% 42.52/28.12 tff(23904,plain,
% 42.52/28.12 (~v119(constB137)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23903, 893, 23896])).
% 42.52/28.12 tff(23905,assumption,(~v122(constB137)), introduced(assumption)).
% 42.52/28.12 tff(23906,assumption,(v90(constB138, bitIndex1)), introduced(assumption)).
% 42.52/28.12 tff(23907,plain,
% 42.52/28.12 (v129(constB138, bitIndex1) | (~v100(constB138))),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23791, 868, 23906])).
% 42.52/28.12 tff(23908,plain,
% 42.52/28.12 (v129(constB138, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23907, 23884])).
% 42.52/28.12 tff(23909,plain,
% 42.52/28.12 (v127(constB137, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23784, 23908])).
% 42.52/28.12 tff(23910,plain,
% 42.52/28.12 (v130(constB137, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23779, 23909])).
% 42.52/28.12 tff(23911,plain,
% 42.52/28.12 (~v120(constB137)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[19119, 19089])).
% 42.52/28.12 tff(23912,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, bitIndex1)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23913,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, bitIndex1)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23914,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, bitIndex1))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23913, 23912])).
% 42.52/28.12 tff(23915,plain,
% 42.52/28.12 ($false),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23914, 1494, 23911, 23910, 23905, 23904, 19162, 23900, 23893])).
% 42.52/28.12 tff(23916,plain,((~v100(constB138)) | v122(constB137) | v121(constB137) | (~v90(constB138, bitIndex1)) | (~v90(constB138, bitIndex0)) | (~v90(constB138, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.12 tff(23917,plain,
% 42.52/28.12 (~v100(constB138)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23916, 23883, 23874, 23809, 23707, 23716])).
% 42.52/28.12 tff(23918,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex0)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23919,plain,
% 42.52/28.12 (((~nextState(constB137, constB138)) | v90(constB137, bitIndex0) | v100(constB138) | (~v90(constB138, bitIndex0))) <=> (v90(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex0)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23920,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex0) | v100(constB138) | (~v90(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex0))))),
% 42.52/28.12 inference(monotonicity,[status(thm)],[23919])).
% 42.52/28.12 tff(23921,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex0) | v100(constB138) | (~v90(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex0)))),
% 42.52/28.12 inference(transitivity,[status(thm)],[23920, 23918])).
% 42.52/28.12 tff(23922,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex0) | v100(constB138) | (~v90(constB138, bitIndex0)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23923,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex0))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23922, 23921])).
% 42.52/28.12 tff(23924,plain,
% 42.52/28.12 (v90(constB137, bitIndex0) | v100(constB138) | (~v90(constB138, bitIndex0))),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23923, 465, 18983])).
% 42.52/28.12 tff(23925,plain,
% 42.52/28.12 (v90(constB137, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23924, 23917, 23707])).
% 42.52/28.12 tff(23926,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23927,plain,
% 42.52/28.12 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23928,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))))),
% 42.52/28.12 inference(monotonicity,[status(thm)],[23927])).
% 42.52/28.12 tff(23929,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 42.52/28.12 inference(transitivity,[status(thm)],[23928, 23926])).
% 42.52/28.12 tff(23930,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23931,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23930, 23929])).
% 42.52/28.12 tff(23932,plain,
% 42.52/28.12 (v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23931, 465, 18864])).
% 42.52/28.12 tff(23933,plain,
% 42.52/28.12 (v90(constB136, bitIndex0) | (~v90(constB137, bitIndex0))),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23932, 18876])).
% 42.52/28.12 tff(23934,plain,
% 42.52/28.12 (v90(constB136, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23933, 23925])).
% 42.52/28.12 tff(23935,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23936,plain,
% 42.52/28.12 (((~nextState(constB137, constB138)) | v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2))) <=> (v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23937,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2))))),
% 42.52/28.12 inference(monotonicity,[status(thm)],[23936])).
% 42.52/28.12 tff(23938,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2)))),
% 42.52/28.12 inference(transitivity,[status(thm)],[23937, 23935])).
% 42.52/28.12 tff(23939,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23940,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23939, 23938])).
% 42.52/28.12 tff(23941,plain,
% 42.52/28.12 (v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2))),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23940, 423, 18983])).
% 42.52/28.12 tff(23942,plain,
% 42.52/28.12 (v90(constB137, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23941, 23917, 23716])).
% 42.52/28.12 tff(23943,plain,
% 42.52/28.12 (v90(constB136, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[18950, 23942])).
% 42.52/28.12 tff(23944,assumption,(v120(constB135)), introduced(assumption)).
% 42.52/28.12 tff(23945,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v120(constB135)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v120(constB135)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23946,plain,
% 42.52/28.12 (((~v120(constB135)) | v118(constB135)) <=> (v118(constB135) | (~v120(constB135)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23947,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v120(constB135))))),
% 42.52/28.12 inference(monotonicity,[status(thm)],[23946])).
% 42.52/28.12 tff(23948,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v120(constB135)))),
% 42.52/28.12 inference(transitivity,[status(thm)],[23947, 23945])).
% 42.52/28.12 tff(23949,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23950,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v120(constB135))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23949, 23948])).
% 42.52/28.12 tff(23951,plain,
% 42.52/28.12 (v118(constB135)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23950, 1630, 23944])).
% 42.52/28.12 tff(23952,plain,
% 42.52/28.12 (v117(constB135)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17996, 511, 23951])).
% 42.52/28.12 tff(23953,plain,
% 42.52/28.12 (v116(constB135)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[18003, 525, 23952])).
% 42.52/28.12 tff(23954,plain,
% 42.52/28.12 (v115(constB135)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17850, 539, 23953])).
% 42.52/28.12 tff(23955,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23956,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23957,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23956, 23955])).
% 42.52/28.12 tff(23958,plain,
% 42.52/28.12 (~v130(constB135, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23957, 1826, 23944])).
% 42.52/28.12 tff(23959,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23960,plain,
% 42.52/28.12 ((v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0))) <=> ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23961,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)))),
% 42.52/28.12 inference(monotonicity,[status(thm)],[23960])).
% 42.52/28.12 tff(23962,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 42.52/28.12 inference(transitivity,[status(thm)],[23961, 23959])).
% 42.52/28.12 tff(23963,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23964,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23963, 23962])).
% 42.52/28.12 tff(23965,plain,
% 42.52/28.12 ((~v127(constB135, bitIndex0)) | v130(constB135, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23964, 907, 17724])).
% 42.52/28.12 tff(23966,plain,
% 42.52/28.12 (~v127(constB135, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23965, 23958])).
% 42.52/28.12 tff(23967,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23968,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23969,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23968, 23967])).
% 42.52/28.12 tff(23970,plain,
% 42.52/28.12 (v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23969, 937, 17735])).
% 42.52/28.12 tff(23971,plain,
% 42.52/28.12 (~v129(constB136, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23970, 23966])).
% 42.52/28.12 tff(23972,assumption,(v90(constB136, bitIndex0)), introduced(assumption)).
% 42.52/28.12 tff(23973,plain,
% 42.52/28.12 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23974,plain,
% 42.52/28.12 (((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23975,plain,
% 42.52/28.12 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))))),
% 42.52/28.12 inference(monotonicity,[status(thm)],[23974])).
% 42.52/28.12 tff(23976,plain,
% 42.52/28.12 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 42.52/28.12 inference(transitivity,[status(thm)],[23975, 23973])).
% 42.52/28.12 tff(23977,plain,
% 42.52/28.12 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(23978,plain,
% 42.52/28.12 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[23977, 23976])).
% 42.52/28.12 tff(23979,plain,
% 42.52/28.12 (v129(constB136, bitIndex0) | (~v100(constB136))),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23978, 952, 23972])).
% 42.52/28.12 tff(23980,plain,
% 42.52/28.12 (~v100(constB136)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23979, 23971])).
% 42.52/28.12 tff(23981,plain,
% 42.52/28.12 (~v110(constB136)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17806, 23980])).
% 42.52/28.12 tff(23982,plain,
% 42.52/28.12 (~v108(constB135)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17814, 23981])).
% 42.52/28.12 tff(23983,plain,
% 42.52/28.12 (~v112(constB135)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17821, 746, 23982])).
% 42.52/28.12 tff(23984,plain,
% 42.52/28.12 (~v113(constB135)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17829, 23983])).
% 42.52/28.12 tff(23985,plain,
% 42.52/28.12 (~v114(constB135)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17836, 567, 23984])).
% 42.52/28.12 tff(23986,plain,
% 42.52/28.12 ($false),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17843, 553, 23985, 23954])).
% 42.52/28.12 tff(23987,plain,((~v120(constB135)) | (~v90(constB136, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.12 tff(23988,plain,
% 42.52/28.12 (~v90(constB136, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23987, 23944])).
% 42.52/28.12 tff(23989,plain,
% 42.52/28.12 (~v90(constB137, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23933, 23988])).
% 42.52/28.12 tff(23990,plain,
% 42.52/28.12 (v130(constB135, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17881, 1788, 23944])).
% 42.52/28.12 tff(23991,plain,
% 42.52/28.12 ((~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17876, 1144, 17724])).
% 42.52/28.12 tff(23992,plain,
% 42.52/28.12 (v127(constB135, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[23991, 23990])).
% 42.52/28.12 tff(23993,plain,
% 42.52/28.12 (v129(constB136, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[18017, 23992])).
% 42.52/28.12 tff(23994,plain,
% 42.52/28.12 (v90(constB135, bitIndex0)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17855, 10958, 23944])).
% 42.52/28.12 tff(23995,plain,
% 42.52/28.12 (v100(constB136)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[17965, 23994, 23988])).
% 42.52/28.12 tff(23996,plain,
% 42.52/28.12 (v90(constB136, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[18024, 1174, 23995, 23993])).
% 42.52/28.12 tff(23997,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23998,plain,
% 42.52/28.12 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(23999,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)))),
% 42.52/28.12 inference(monotonicity,[status(thm)],[23998])).
% 42.52/28.12 tff(24000,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 42.52/28.12 inference(transitivity,[status(thm)],[23999, 23997])).
% 42.52/28.12 tff(24001,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(24002,plain,
% 42.52/28.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[24001, 24000])).
% 42.52/28.12 tff(24003,plain,
% 42.52/28.12 ((~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[24002, 1192, 18864])).
% 42.52/28.12 tff(24004,plain,
% 42.52/28.12 ((~v90(constB136, bitIndex1)) | v90(constB137, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[24003, 18876])).
% 42.52/28.12 tff(24005,plain,
% 42.52/28.12 (v90(constB137, bitIndex1)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[24004, 23996])).
% 42.52/28.12 tff(24006,plain,
% 42.52/28.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(24007,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 42.52/28.12 inference(quant_inst,[status(thm)],[])).
% 42.52/28.12 tff(24008,plain,
% 42.52/28.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2))),
% 42.52/28.12 inference(modus_ponens,[status(thm)],[24007, 24006])).
% 42.52/28.12 tff(24009,plain,
% 42.52/28.12 (~v130(constB135, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[24008, 1732, 23944])).
% 42.52/28.12 tff(24010,plain,
% 42.52/28.12 (~v127(constB135, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[18932, 24009])).
% 42.52/28.12 tff(24011,plain,
% 42.52/28.12 (~v129(constB136, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[18924, 24010])).
% 42.52/28.12 tff(24012,plain,
% 42.52/28.12 (~v90(constB136, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[18918, 1452, 23995, 24011])).
% 42.52/28.12 tff(24013,plain,
% 42.52/28.12 (~v90(constB137, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[18950, 24012])).
% 42.52/28.12 tff(24014,plain,
% 42.52/28.12 (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[19166, 1870, 19162])).
% 42.52/28.12 tff(24015,plain,
% 42.52/28.12 ($false),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[24014, 24013, 24005, 23989])).
% 42.52/28.12 tff(24016,plain,((~v120(constB135)) | v121(constB137)), inference(lemma,lemma(discharge,[]))).
% 42.52/28.12 tff(24017,plain,
% 42.52/28.12 (~v120(constB135)),
% 42.52/28.12 inference(unit_resolution,[status(thm)],[24016, 23874])).
% 42.52/28.12 tff(24018,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(24019,plain,
% 42.52/28.12 (((~nextState(constB137, constB138)) | v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1))) <=> (v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1)))),
% 42.52/28.12 inference(rewrite,[status(thm)],[])).
% 42.52/28.12 tff(24020,plain,
% 42.52/28.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1))))),
% 42.52/28.13 inference(monotonicity,[status(thm)],[24019])).
% 42.52/28.13 tff(24021,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1)))),
% 42.52/28.13 inference(transitivity,[status(thm)],[24020, 24018])).
% 42.52/28.13 tff(24022,plain,
% 42.52/28.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24023,plain,
% 42.52/28.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24022, 24021])).
% 42.52/28.13 tff(24024,plain,
% 42.52/28.13 (v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24023, 444, 18983])).
% 42.52/28.13 tff(24025,plain,
% 42.52/28.13 (v90(constB137, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24024, 23917, 23883])).
% 42.52/28.13 tff(24026,plain,
% 42.52/28.13 (v90(constB136, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18884, 24025])).
% 42.52/28.13 tff(24027,plain,
% 42.52/28.13 (v100(constB136)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17867, 17852, 23972])).
% 42.52/28.13 tff(24028,plain,
% 42.52/28.13 (v129(constB136, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[23979, 24027])).
% 42.52/28.13 tff(24029,plain,
% 42.52/28.13 (v127(constB135, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[23970, 24028])).
% 42.52/28.13 tff(24030,plain,
% 42.52/28.13 (v130(constB135, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[23965, 24029])).
% 42.52/28.13 tff(24031,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB135)) | (~v130(constB135, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24032,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB135)) | (~v130(constB135, bitIndex0)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24033,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB135)) | (~v130(constB135, bitIndex0))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24032, 24031])).
% 42.52/28.13 tff(24034,plain,
% 42.52/28.13 (~v119(constB135)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24033, 893, 24030])).
% 42.52/28.13 tff(24035,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB135)) | (~v130(constB135, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24036,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB135)) | (~v130(constB135, bitIndex0)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24037,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB135)) | (~v130(constB135, bitIndex0))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24036, 24035])).
% 42.52/28.13 tff(24038,plain,
% 42.52/28.13 (~v123(constB135)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24037, 1208, 24030])).
% 42.52/28.13 tff(24039,plain,
% 42.52/28.13 (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2)) | v123(constB135)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18041, 979, 18070])).
% 42.52/28.13 tff(24040,plain,
% 42.52/28.13 (~v90(constB135, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24039, 24038, 17852])).
% 42.52/28.13 tff(24041,plain,
% 42.52/28.13 (v90(constB135, bitIndex0) | v90(constB135, bitIndex2) | v119(constB135)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17981, 486, 18070])).
% 42.52/28.13 tff(24042,plain,
% 42.52/28.13 ($false),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24041, 24040, 24034, 17852])).
% 42.52/28.13 tff(24043,plain,(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB136, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.13 tff(24044,plain,
% 42.52/28.13 (v90(constB135, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24043, 17852, 23972])).
% 42.52/28.13 tff(24045,plain,
% 42.52/28.13 (~v119(constB135)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17664, 1380, 24044])).
% 42.52/28.13 tff(24046,plain,
% 42.52/28.13 (v100(constB136)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18849, 17852])).
% 42.52/28.13 tff(24047,assumption,(v90(constB136, bitIndex1)), introduced(assumption)).
% 42.52/28.13 tff(24048,plain,
% 42.52/28.13 (v129(constB136, bitIndex1) | (~v100(constB136))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18856, 868, 24047])).
% 42.52/28.13 tff(24049,plain,
% 42.52/28.13 (v129(constB136, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24048, 24046])).
% 42.52/28.13 tff(24050,plain,
% 42.52/28.13 (v127(constB135, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17739, 24049])).
% 42.52/28.13 tff(24051,plain,
% 42.52/28.13 (v130(constB135, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17731, 24050])).
% 42.52/28.13 tff(24052,plain,
% 42.52/28.13 (v129(constB136, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18919, 24046])).
% 42.52/28.13 tff(24053,plain,
% 42.52/28.13 (v127(constB135, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18924, 24052])).
% 42.52/28.13 tff(24054,plain,
% 42.52/28.13 (v130(constB135, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18932, 24053])).
% 42.52/28.13 tff(24055,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB135)) | (~v130(constB135, bitIndex2)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24056,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB135)) | (~v130(constB135, bitIndex2)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24057,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB135)) | (~v130(constB135, bitIndex2))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24056, 24055])).
% 42.52/28.13 tff(24058,plain,
% 42.52/28.13 (~v121(constB135)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24057, 1990, 24054])).
% 42.52/28.13 tff(24059,plain,
% 42.52/28.13 (~v124(constB135)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17715, 1369, 24044])).
% 42.52/28.13 tff(24060,plain,
% 42.52/28.13 (~v123(constB135)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17711, 1358, 24044])).
% 42.52/28.13 tff(24061,plain,
% 42.52/28.13 (v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17719, 1494, 17940])).
% 42.52/28.13 tff(24062,plain,
% 42.52/28.13 ($false),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24061, 24060, 24059, 24058, 24051, 17860, 24045])).
% 42.52/28.13 tff(24063,plain,(v90(constB135, bitIndex0) | v120(constB135) | (~v90(constB136, bitIndex1)) | (~v90(constB136, bitIndex2)) | (~v90(constB136, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.13 tff(24064,plain,
% 42.52/28.13 (v90(constB135, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24063, 24026, 24017, 23943, 23934])).
% 42.52/28.13 tff(24065,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB135)) | (~v90(constB135, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24066,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex0)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24067,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB135)) | (~v90(constB135, bitIndex0))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24066, 24065])).
% 42.52/28.13 tff(24068,plain,
% 42.52/28.13 (~v119(constB135)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24067, 11028, 24064])).
% 42.52/28.13 tff(24069,plain,
% 42.52/28.13 (v90(constB134, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17773, 24064])).
% 42.52/28.13 tff(24070,plain,
% 42.52/28.13 (~v123(constB133)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18941, 23943, 24017])).
% 42.52/28.13 tff(24071,assumption,(v90(constB134, bitIndex0)), introduced(assumption)).
% 42.52/28.13 tff(24072,plain,
% 42.52/28.13 (v90(constB135, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18056, 17775, 24047])).
% 42.52/28.13 tff(24073,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24074,plain,
% 42.52/28.13 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24075,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))))),
% 42.52/28.13 inference(monotonicity,[status(thm)],[24074])).
% 42.52/28.13 tff(24076,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 42.52/28.13 inference(transitivity,[status(thm)],[24075, 24073])).
% 42.52/28.13 tff(24077,plain,
% 42.52/28.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24078,plain,
% 42.52/28.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24077, 24076])).
% 42.52/28.13 tff(24079,plain,
% 42.52/28.13 (v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24078, 444, 17640])).
% 42.52/28.13 tff(24080,plain,
% 42.52/28.13 (v90(constB134, bitIndex1) | (~v90(constB135, bitIndex1))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24079, 17652])).
% 42.52/28.13 tff(24081,plain,
% 42.52/28.13 (v90(constB134, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24080, 24072])).
% 42.52/28.13 tff(24082,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB133)) | v90(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB133)) | v90(constB133, bitIndex1))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24083,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB133)) | v90(constB133, bitIndex1))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24084,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB133)) | v90(constB133, bitIndex1)),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24083, 24082])).
% 42.52/28.13 tff(24085,plain,
% 42.52/28.13 (~v121(constB133)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24084, 4128, 18611])).
% 42.52/28.13 tff(24086,assumption,(v90(constB134, bitIndex1)), introduced(assumption)).
% 42.52/28.13 tff(24087,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24088,plain,
% 42.52/28.13 (((~nextState(constB133, constB134)) | v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1))) <=> (v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24089,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1))))),
% 42.52/28.13 inference(monotonicity,[status(thm)],[24088])).
% 42.52/28.13 tff(24090,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1)))),
% 42.52/28.13 inference(transitivity,[status(thm)],[24089, 24087])).
% 42.52/28.13 tff(24091,plain,
% 42.52/28.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24092,plain,
% 42.52/28.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24091, 24090])).
% 42.52/28.13 tff(24093,plain,
% 42.52/28.13 (v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24092, 444, 17572])).
% 42.52/28.13 tff(24094,plain,
% 42.52/28.13 (v100(constB134)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24093, 18611, 24086])).
% 42.52/28.13 tff(24095,plain,
% 42.52/28.13 (v129(constB134, bitIndex0) | (~v100(constB134))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17763, 952, 24071])).
% 42.52/28.13 tff(24096,plain,
% 42.52/28.13 (v129(constB134, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24095, 24094])).
% 42.52/28.13 tff(24097,plain,
% 42.52/28.13 (v127(constB133, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17756, 24096])).
% 42.52/28.13 tff(24098,plain,
% 42.52/28.13 (v130(constB133, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17751, 24097])).
% 42.52/28.13 tff(24099,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB133)) | (~v130(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB133)) | (~v130(constB133, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24100,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB133)) | (~v130(constB133, bitIndex0)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24101,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB133)) | (~v130(constB133, bitIndex0))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24100, 24099])).
% 42.52/28.13 tff(24102,plain,
% 42.52/28.13 (~v120(constB133)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24101, 1826, 24098])).
% 42.52/28.13 tff(24103,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB133)) | (~v130(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB133)) | (~v130(constB133, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24104,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB133)) | (~v130(constB133, bitIndex0)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24105,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB133)) | (~v130(constB133, bitIndex0))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24104, 24103])).
% 42.52/28.13 tff(24106,plain,
% 42.52/28.13 (~v119(constB133)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24105, 893, 24098])).
% 42.52/28.13 tff(24107,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB133)) | (~v130(constB133, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB133)) | (~v130(constB133, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24108,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB133)) | (~v130(constB133, bitIndex0)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24109,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB133)) | (~v130(constB133, bitIndex0))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24108, 24107])).
% 42.52/28.13 tff(24110,plain,
% 42.52/28.13 (~v122(constB133)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24109, 2327, 24098])).
% 42.52/28.13 tff(24111,plain,
% 42.52/28.13 (~v123(constB133)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17743, 1208, 24098])).
% 42.52/28.13 tff(24112,plain,
% 42.52/28.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24113,plain,
% 42.52/28.13 (((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24114,plain,
% 42.52/28.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))))),
% 42.52/28.13 inference(monotonicity,[status(thm)],[24113])).
% 42.52/28.13 tff(24115,plain,
% 42.52/28.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 42.52/28.13 inference(transitivity,[status(thm)],[24114, 24112])).
% 42.52/28.13 tff(24116,plain,
% 42.52/28.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24117,plain,
% 42.52/28.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24116, 24115])).
% 42.52/28.13 tff(24118,plain,
% 42.52/28.13 (v129(constB134, bitIndex1) | (~v100(constB134))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24117, 868, 24086])).
% 42.52/28.13 tff(24119,plain,
% 42.52/28.13 (v129(constB134, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24118, 24094])).
% 42.52/28.13 tff(24120,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24121,plain,
% 42.52/28.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24122,plain,
% 42.52/28.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24121, 24120])).
% 42.52/28.13 tff(24123,plain,
% 42.52/28.13 (v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24122, 853, 17572])).
% 42.52/28.13 tff(24124,plain,
% 42.52/28.13 (v127(constB133, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24123, 24119])).
% 42.52/28.13 tff(24125,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24126,plain,
% 42.52/28.13 ((v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1))) <=> ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24127,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)))),
% 42.52/28.13 inference(monotonicity,[status(thm)],[24126])).
% 42.52/28.13 tff(24128,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 42.52/28.13 inference(transitivity,[status(thm)],[24127, 24125])).
% 42.52/28.13 tff(24129,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24130,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24129, 24128])).
% 42.52/28.13 tff(24131,plain,
% 42.52/28.13 ((~v127(constB133, bitIndex1)) | v130(constB133, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24130, 823, 17557])).
% 42.52/28.13 tff(24132,plain,
% 42.52/28.13 (v130(constB133, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24131, 24124])).
% 42.52/28.13 tff(24133,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24134,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24135,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24134, 24133])).
% 42.52/28.13 tff(24136,plain,
% 42.52/28.13 (v121(constB133) | v124(constB133)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24135, 1494, 24132, 24111, 24110, 24106, 24102])).
% 42.52/28.13 tff(24137,plain,
% 42.52/28.13 (v124(constB133)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24136, 24085])).
% 42.52/28.13 tff(24138,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB133)) | v90(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB133)) | v90(constB133, bitIndex2))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24139,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | ((~v124(constB133)) | v90(constB133, bitIndex2))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24140,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex2))) | (~v124(constB133)) | v90(constB133, bitIndex2)),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24139, 24138])).
% 42.52/28.13 tff(24141,plain,
% 42.52/28.13 (v90(constB133, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24140, 7573, 24137])).
% 42.52/28.13 tff(24142,plain,
% 42.52/28.13 (v90(constB132, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18245, 24141])).
% 42.52/28.13 tff(24143,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB133)) | v90(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB133)) | v90(constB133, bitIndex0))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24144,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB133)) | v90(constB133, bitIndex0))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24145,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB133)) | v90(constB133, bitIndex0)),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24144, 24143])).
% 42.52/28.13 tff(24146,plain,
% 42.52/28.13 (v90(constB133, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24145, 10973, 24137])).
% 42.52/28.13 tff(24147,plain,
% 42.52/28.13 (v90(constB132, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17535, 24146])).
% 42.52/28.13 tff(24148,assumption,(v100(constB132)), introduced(assumption)).
% 42.52/28.13 tff(24149,assumption,(v90(constB132, bitIndex2)), introduced(assumption)).
% 42.52/28.13 tff(24150,plain,
% 42.52/28.13 (v129(constB132, bitIndex2) | (~v100(constB132))),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18235, 1452, 24149])).
% 42.52/28.13 tff(24151,plain,
% 42.52/28.13 (v129(constB132, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24150, 24148])).
% 42.52/28.13 tff(24152,plain,
% 42.52/28.13 (v127(constB131, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18231, 24151])).
% 42.52/28.13 tff(24153,plain,
% 42.52/28.13 (v130(constB131, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18226, 24152])).
% 42.52/28.13 tff(24154,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB131)) | (~v130(constB131, bitIndex2)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24155,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex2)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24156,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB131)) | (~v130(constB131, bitIndex2))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24155, 24154])).
% 42.52/28.13 tff(24157,plain,
% 42.52/28.13 (~v124(constB131)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24156, 3868, 24153])).
% 42.52/28.13 tff(24158,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB131)) | (~v130(constB131, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB131)) | (~v130(constB131, bitIndex2)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24159,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB131)) | (~v130(constB131, bitIndex2)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24160,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB131)) | (~v130(constB131, bitIndex2))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24159, 24158])).
% 42.52/28.13 tff(24161,plain,
% 42.52/28.13 (~v121(constB131)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24160, 1990, 24153])).
% 42.52/28.13 tff(24162,plain,
% 42.52/28.13 (v129(constB132, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17394, 24148])).
% 42.52/28.13 tff(24163,plain,
% 42.52/28.13 (v127(constB131, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17385, 24162])).
% 42.52/28.13 tff(24164,plain,
% 42.52/28.13 (v130(constB131, bitIndex0)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17380, 24163])).
% 42.52/28.13 tff(24165,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB131)) | (~v130(constB131, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24166,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB131)) | (~v130(constB131, bitIndex0)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24167,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB131)) | (~v130(constB131, bitIndex0))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24166, 24165])).
% 42.52/28.13 tff(24168,plain,
% 42.52/28.13 (~v120(constB131)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24167, 1826, 24164])).
% 42.52/28.13 tff(24169,plain,
% 42.52/28.13 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB131)) | (~v130(constB131, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24170,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB131)) | (~v130(constB131, bitIndex0)))),
% 42.52/28.13 inference(quant_inst,[status(thm)],[])).
% 42.52/28.13 tff(24171,plain,
% 42.52/28.13 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB131)) | (~v130(constB131, bitIndex0))),
% 42.52/28.13 inference(modus_ponens,[status(thm)],[24170, 24169])).
% 42.52/28.13 tff(24172,plain,
% 42.52/28.13 (~v119(constB131)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24171, 893, 24164])).
% 42.52/28.13 tff(24173,plain,
% 42.52/28.13 (~v122(constB131)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[17372, 2327, 24164])).
% 42.52/28.13 tff(24174,assumption,(~v123(constB131)), introduced(assumption)).
% 42.52/28.13 tff(24175,plain,
% 42.52/28.13 (v121(constB131) | v124(constB131)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18218, 1405, 24153, 24174, 24173, 24172, 24168])).
% 42.52/28.13 tff(24176,plain,
% 42.52/28.13 ($false),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24175, 24161, 24157])).
% 42.52/28.13 tff(24177,plain,((~v100(constB132)) | v123(constB131) | (~v90(constB132, bitIndex2)) | (~v90(constB132, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.13 tff(24178,plain,
% 42.52/28.13 (~v100(constB132)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[24177, 18495, 24142, 24147])).
% 42.52/28.13 tff(24179,plain,
% 42.52/28.13 (v90(constB131, bitIndex2)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18698, 24178, 24142])).
% 42.52/28.13 tff(24180,plain,
% 42.52/28.13 (~v90(constB131, bitIndex1)),
% 42.52/28.13 inference(unit_resolution,[status(thm)],[18401, 24178, 18089])).
% 42.52/28.13 tff(24181,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24182,plain,
% 42.52/28.13 (((~nextState(constB131, constB132)) | v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0))) <=> (v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0)))),
% 42.52/28.13 inference(rewrite,[status(thm)],[])).
% 42.52/28.13 tff(24183,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0))))),
% 42.52/28.13 inference(monotonicity,[status(thm)],[24182])).
% 42.52/28.13 tff(24184,plain,
% 42.52/28.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0)))),
% 42.52/28.13 inference(transitivity,[status(thm)],[24183, 24181])).
% 42.52/28.13 tff(24185,plain,
% 42.52/28.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0)))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24186,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB131, bitIndex0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex0))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24185, 24184])).
% 42.52/28.14 tff(24187,plain,
% 42.52/28.14 (v90(constB131, bitIndex0) | v100(constB132) | (~v90(constB132, bitIndex0))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24186, 465, 17348])).
% 42.52/28.14 tff(24188,plain,
% 42.52/28.14 (v90(constB131, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24187, 24178, 24147])).
% 42.52/28.14 tff(24189,plain,
% 42.52/28.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24190,plain,
% 42.52/28.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24191,plain,
% 42.52/28.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131)),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24190, 24189])).
% 42.52/28.14 tff(24192,plain,
% 42.52/28.14 (v124(constB131)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24191, 15368, 24188, 24180, 24179])).
% 42.52/28.14 tff(24193,plain,
% 42.52/28.14 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB131)) | v114(constB131))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24194,plain,
% 42.52/28.14 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24195,plain,
% 42.52/28.14 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB131)) | v114(constB131)),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24194, 24193])).
% 42.52/28.14 tff(24196,plain,
% 42.52/28.14 (v114(constB131)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24195, 15276, 24192])).
% 42.52/28.14 tff(24197,plain,
% 42.52/28.14 (~v110(constB132)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17426, 24178])).
% 42.52/28.14 tff(24198,plain,
% 42.52/28.14 (~v108(constB131)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17434, 24197])).
% 42.52/28.14 tff(24199,plain,
% 42.52/28.14 (~v112(constB131)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17441, 746, 24198])).
% 42.52/28.14 tff(24200,plain,
% 42.52/28.14 (~v113(constB131)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17446, 24199])).
% 42.52/28.14 tff(24201,plain,
% 42.52/28.14 ($false),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17450, 567, 24200, 24196])).
% 42.52/28.14 tff(24202,plain,(v90(constB132, bitIndex1) | (~v90(constB134, bitIndex1)) | (~v90(constB134, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.14 tff(24203,plain,
% 42.52/28.14 (v90(constB132, bitIndex1)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24202, 24081, 24071])).
% 42.52/28.14 tff(24204,plain,
% 42.52/28.14 (v90(constB133, bitIndex1)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18765, 24203])).
% 42.52/28.14 tff(24205,plain,
% 42.52/28.14 (~v124(constB133)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18805, 1369, 24204])).
% 42.52/28.14 tff(24206,plain,
% 42.52/28.14 (v90(constB135, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18037, 17775, 18915])).
% 42.52/28.14 tff(24207,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24208,plain,
% 42.52/28.14 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24209,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))))),
% 42.52/28.14 inference(monotonicity,[status(thm)],[24208])).
% 42.52/28.14 tff(24210,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 42.52/28.14 inference(transitivity,[status(thm)],[24209, 24207])).
% 42.52/28.14 tff(24211,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24212,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24211, 24210])).
% 42.52/28.14 tff(24213,plain,
% 42.52/28.14 (v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24212, 423, 17640])).
% 42.52/28.14 tff(24214,plain,
% 42.52/28.14 (v90(constB134, bitIndex2) | (~v90(constB135, bitIndex2))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24213, 17652])).
% 42.52/28.14 tff(24215,plain,
% 42.52/28.14 (v90(constB134, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24214, 24206])).
% 42.52/28.14 tff(24216,assumption,(~v100(constB134)), introduced(assumption)).
% 42.52/28.14 tff(24217,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24218,plain,
% 42.52/28.14 (((~nextState(constB133, constB134)) | v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0))) <=> (v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24219,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0))))),
% 42.52/28.14 inference(monotonicity,[status(thm)],[24218])).
% 42.52/28.14 tff(24220,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0)))),
% 42.52/28.14 inference(transitivity,[status(thm)],[24219, 24217])).
% 42.52/28.14 tff(24221,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0)))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24222,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24221, 24220])).
% 42.52/28.14 tff(24223,plain,
% 42.52/28.14 (v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24222, 465, 17572])).
% 42.52/28.14 tff(24224,plain,
% 42.52/28.14 (v90(constB133, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24223, 24216, 24071])).
% 42.52/28.14 tff(24225,plain,
% 42.52/28.14 (v90(constB132, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17535, 24224])).
% 42.52/28.14 tff(24226,assumption,(v90(constB134, bitIndex2)), introduced(assumption)).
% 42.52/28.14 tff(24227,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24228,plain,
% 42.52/28.14 (((~nextState(constB133, constB134)) | v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2))) <=> (v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24229,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2))))),
% 42.52/28.14 inference(monotonicity,[status(thm)],[24228])).
% 42.52/28.14 tff(24230,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2)))),
% 42.52/28.14 inference(transitivity,[status(thm)],[24229, 24227])).
% 42.52/28.14 tff(24231,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2)))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24232,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24231, 24230])).
% 42.52/28.14 tff(24233,plain,
% 42.52/28.14 (v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24232, 423, 17572])).
% 42.52/28.14 tff(24234,plain,
% 42.52/28.14 (v90(constB133, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24233, 24216, 24226])).
% 42.52/28.14 tff(24235,plain,
% 42.52/28.14 (v90(constB132, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18245, 24234])).
% 42.52/28.14 tff(24236,plain,
% 42.52/28.14 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0))))),
% 42.52/28.14 inference(bind,[status(th)],[])).
% 42.52/28.14 tff(24237,plain,
% 42.52/28.14 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 42.52/28.14 inference(quant_intro,[status(thm)],[24236])).
% 42.52/28.14 tff(24238,plain,
% 42.52/28.14 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24239,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 42.52/28.14 tff(24240,plain,
% 42.52/28.14 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24239, 24238])).
% 42.52/28.14 tff(24241,plain,(
% 42.52/28.14 ![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 42.52/28.14 inference(skolemize,[status(sab)],[24240])).
% 42.52/28.14 tff(24242,plain,
% 42.52/28.14 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24241, 24237])).
% 42.52/28.14 tff(24243,plain,
% 42.52/28.14 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v125(constB132)) | (~v90(constB132, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v125(constB132)) | (~v90(constB132, bitIndex0)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24244,plain,
% 42.52/28.14 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v125(constB132)) | (~v90(constB132, bitIndex0)))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24245,plain,
% 42.52/28.14 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v125(constB132)) | (~v90(constB132, bitIndex0))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24244, 24243])).
% 42.52/28.14 tff(24246,plain,
% 42.52/28.14 (~v125(constB132)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24245, 24242, 24225])).
% 42.52/28.14 tff(24247,plain,
% 42.52/28.14 (~v123(constB131)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18494, 24246])).
% 42.52/28.14 tff(24248,plain,
% 42.52/28.14 (~v100(constB132)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24177, 24247, 24225, 24235])).
% 42.52/28.14 tff(24249,plain,
% 42.52/28.14 (v90(constB131, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24187, 24248, 24225])).
% 42.52/28.14 tff(24250,plain,
% 42.52/28.14 (v90(constB130, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18178, 24249])).
% 42.52/28.14 tff(24251,plain,
% 42.52/28.14 (v90(constB131, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18698, 24248, 24235])).
% 42.52/28.14 tff(24252,plain,
% 42.52/28.14 (v90(constB130, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17314, 24251])).
% 42.52/28.14 tff(24253,assumption,(v90(constB132, bitIndex1)), introduced(assumption)).
% 42.52/28.14 tff(24254,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB131, bitIndex1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB131, bitIndex1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex1)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24255,plain,
% 42.52/28.14 (((~nextState(constB131, constB132)) | v90(constB131, bitIndex1) | v100(constB132) | (~v90(constB132, bitIndex1))) <=> (v90(constB131, bitIndex1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex1)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24256,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex1) | v100(constB132) | (~v90(constB132, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB131, bitIndex1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex1))))),
% 42.52/28.14 inference(monotonicity,[status(thm)],[24255])).
% 42.52/28.14 tff(24257,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex1) | v100(constB132) | (~v90(constB132, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB131, bitIndex1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex1)))),
% 42.52/28.14 inference(transitivity,[status(thm)],[24256, 24254])).
% 42.52/28.14 tff(24258,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex1) | v100(constB132) | (~v90(constB132, bitIndex1)))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24259,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB131, bitIndex1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex1))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24258, 24257])).
% 42.52/28.14 tff(24260,plain,
% 42.52/28.14 (v90(constB131, bitIndex1) | v100(constB132) | (~v90(constB132, bitIndex1))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24259, 444, 17348])).
% 42.52/28.14 tff(24261,plain,
% 42.52/28.14 (v90(constB131, bitIndex1)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24260, 24248, 24253])).
% 42.52/28.14 tff(24262,plain,
% 42.52/28.14 (v90(constB130, bitIndex1)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18508, 24261])).
% 42.52/28.14 tff(24263,assumption,(v90(constB130, bitIndex2)), introduced(assumption)).
% 42.52/28.14 tff(24264,plain,
% 42.52/28.14 (v129(constB130, bitIndex2) | (~v100(constB130))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17305, 1452, 24263])).
% 42.52/28.14 tff(24265,plain,
% 42.52/28.14 (v129(constB130, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24264, 18629])).
% 42.52/28.14 tff(24266,plain,
% 42.52/28.14 (v127(constB129, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17301, 24265])).
% 42.52/28.14 tff(24267,plain,
% 42.52/28.14 (v130(constB129, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17296, 24266])).
% 42.52/28.14 tff(24268,plain,
% 42.52/28.14 (~v124(constB129)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18431, 3868, 24267])).
% 42.52/28.14 tff(24269,assumption,(v90(constB130, bitIndex0)), introduced(assumption)).
% 42.52/28.14 tff(24270,plain,
% 42.52/28.14 (v129(constB130, bitIndex0) | (~v100(constB130))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18168, 952, 24269])).
% 42.52/28.14 tff(24271,plain,
% 42.52/28.14 (v129(constB130, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24270, 18629])).
% 42.52/28.14 tff(24272,plain,
% 42.52/28.14 (v127(constB129, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17228, 24271])).
% 42.52/28.14 tff(24273,plain,
% 42.52/28.14 (v130(constB129, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17236, 24272])).
% 42.52/28.14 tff(24274,plain,
% 42.52/28.14 (~v123(constB129)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17240, 1208, 24273])).
% 42.52/28.14 tff(24275,plain,
% 42.52/28.14 (~v121(constB129)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17288, 1990, 24267])).
% 42.52/28.14 tff(24276,plain,
% 42.52/28.14 (~v120(constB129)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18436, 1732, 24267])).
% 42.52/28.14 tff(24277,assumption,(v90(constB130, bitIndex1)), introduced(assumption)).
% 42.52/28.14 tff(24278,plain,
% 42.52/28.14 (v129(constB130, bitIndex1) | (~v100(constB130))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18515, 868, 24277])).
% 42.52/28.14 tff(24279,plain,
% 42.52/28.14 (v129(constB130, bitIndex1)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24278, 18629])).
% 42.52/28.14 tff(24280,plain,
% 42.52/28.14 (v127(constB129, bitIndex1)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18521, 24279])).
% 42.52/28.14 tff(24281,plain,
% 42.52/28.14 (v130(constB129, bitIndex1)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18529, 24280])).
% 42.52/28.14 tff(24282,plain,
% 42.52/28.14 (~v122(constB129)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18533, 2281, 24281])).
% 42.52/28.14 tff(24283,plain,
% 42.52/28.14 (~v119(constB129)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18537, 809, 24281])).
% 42.52/28.14 tff(24284,plain,
% 42.52/28.14 (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[18752, 1405, 24267])).
% 42.52/28.14 tff(24285,plain,
% 42.52/28.14 ($false),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24284, 24283, 24282, 24276, 24275, 24274, 24268])).
% 42.52/28.14 tff(24286,plain,((~v100(constB130)) | (~v90(constB130, bitIndex0)) | (~v90(constB130, bitIndex1)) | (~v90(constB130, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.14 tff(24287,plain,
% 42.52/28.14 (~v100(constB130)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24286, 24262, 24250, 24252])).
% 42.52/28.14 tff(24288,plain,
% 42.52/28.14 (v90(constB129, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17250, 24287, 24250])).
% 42.52/28.14 tff(24289,plain,
% 42.52/28.14 (v90(constB128, bitIndex0)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17042, 24288])).
% 42.52/28.14 tff(24290,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB129, bitIndex1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB129, bitIndex1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex1)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24291,plain,
% 42.52/28.14 (((~nextState(constB129, constB130)) | v90(constB129, bitIndex1) | v100(constB130) | (~v90(constB130, bitIndex1))) <=> (v90(constB129, bitIndex1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex1)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24292,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex1) | v100(constB130) | (~v90(constB130, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB129, bitIndex1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex1))))),
% 42.52/28.14 inference(monotonicity,[status(thm)],[24291])).
% 42.52/28.14 tff(24293,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex1) | v100(constB130) | (~v90(constB130, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB129, bitIndex1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex1)))),
% 42.52/28.14 inference(transitivity,[status(thm)],[24292, 24290])).
% 42.52/28.14 tff(24294,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex1) | v100(constB130) | (~v90(constB130, bitIndex1)))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24295,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB129, bitIndex1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex1))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 42.52/28.14 tff(24296,plain,
% 42.52/28.14 (v90(constB129, bitIndex1) | v100(constB130) | (~v90(constB130, bitIndex1))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24295, 444, 17064])).
% 42.52/28.14 tff(24297,plain,
% 42.52/28.14 (v90(constB129, bitIndex1)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24296, 24287, 24262])).
% 42.52/28.14 tff(24298,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24299,plain,
% 42.52/28.14 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24300,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))))),
% 42.52/28.14 inference(monotonicity,[status(thm)],[24299])).
% 42.52/28.14 tff(24301,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 42.52/28.14 inference(transitivity,[status(thm)],[24300, 24298])).
% 42.52/28.14 tff(24302,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24303,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24302, 24301])).
% 42.52/28.14 tff(24304,plain,
% 42.52/28.14 (v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24303, 444, 16974])).
% 42.52/28.14 tff(24305,plain,
% 42.52/28.14 (v90(constB128, bitIndex1) | (~v90(constB129, bitIndex1))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24304, 16986])).
% 42.52/28.14 tff(24306,plain,
% 42.52/28.14 (v90(constB128, bitIndex1)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24305, 24297])).
% 42.52/28.14 tff(24307,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB129, bitIndex2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB129, bitIndex2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex2)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24308,plain,
% 42.52/28.14 (((~nextState(constB129, constB130)) | v90(constB129, bitIndex2) | v100(constB130) | (~v90(constB130, bitIndex2))) <=> (v90(constB129, bitIndex2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex2)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24309,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex2) | v100(constB130) | (~v90(constB130, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB129, bitIndex2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex2))))),
% 42.52/28.14 inference(monotonicity,[status(thm)],[24308])).
% 42.52/28.14 tff(24310,plain,
% 42.52/28.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex2) | v100(constB130) | (~v90(constB130, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB129, bitIndex2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex2)))),
% 42.52/28.14 inference(transitivity,[status(thm)],[24309, 24307])).
% 42.52/28.14 tff(24311,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v90(constB129, bitIndex2) | v100(constB130) | (~v90(constB130, bitIndex2)))),
% 42.52/28.14 inference(quant_inst,[status(thm)],[])).
% 42.52/28.14 tff(24312,plain,
% 42.52/28.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB129, bitIndex2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, bitIndex2))),
% 42.52/28.14 inference(modus_ponens,[status(thm)],[24311, 24310])).
% 42.52/28.14 tff(24313,plain,
% 42.52/28.14 (v90(constB129, bitIndex2) | v100(constB130) | (~v90(constB130, bitIndex2))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24312, 423, 17064])).
% 42.52/28.14 tff(24314,plain,
% 42.52/28.14 (v90(constB129, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24313, 24287, 24252])).
% 42.52/28.14 tff(24315,plain,
% 42.52/28.14 (v90(constB128, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17033, 24314])).
% 42.52/28.14 tff(24316,assumption,(v100(constB128)), introduced(assumption)).
% 42.52/28.14 tff(24317,assumption,(v90(constB128, bitIndex2)), introduced(assumption)).
% 42.52/28.14 tff(24318,plain,
% 42.52/28.14 (v129(constB128, bitIndex2) | (~v100(constB128))),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17023, 1452, 24317])).
% 42.52/28.14 tff(24319,plain,
% 42.52/28.14 (v129(constB128, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[24318, 24316])).
% 42.52/28.14 tff(24320,plain,
% 42.52/28.14 (v127(constB127, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17019, 24319])).
% 42.52/28.14 tff(24321,plain,
% 42.52/28.14 (v130(constB127, bitIndex2)),
% 42.52/28.14 inference(unit_resolution,[status(thm)],[17014, 24320])).
% 42.52/28.14 tff(24322,plain,
% 42.52/28.14 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB127)) | (~v130(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB127)) | (~v130(constB127, bitIndex2)))),
% 42.52/28.14 inference(rewrite,[status(thm)],[])).
% 42.52/28.14 tff(24323,plain,
% 42.52/28.14 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB127)) | (~v130(constB127, bitIndex2)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24324,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB127)) | (~v130(constB127, bitIndex2))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 42.52/28.15 tff(24325,plain,
% 42.52/28.15 (~v124(constB127)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24324, 3868, 24321])).
% 42.52/28.15 tff(24326,plain,
% 42.52/28.15 (v129(constB128, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16850, 24316])).
% 42.52/28.15 tff(24327,plain,
% 42.52/28.15 (v127(constB127, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16841, 24326])).
% 42.52/28.15 tff(24328,plain,
% 42.52/28.15 (v130(constB127, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16836, 24327])).
% 42.52/28.15 tff(24329,plain,
% 42.52/28.15 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB127)) | (~v130(constB127, bitIndex0)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24330,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB127)) | (~v130(constB127, bitIndex0)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24331,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB127)) | (~v130(constB127, bitIndex0))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24330, 24329])).
% 42.52/28.15 tff(24332,plain,
% 42.52/28.15 (~v123(constB127)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24331, 1208, 24328])).
% 42.52/28.15 tff(24333,assumption,(v90(constB128, bitIndex1)), introduced(assumption)).
% 42.52/28.15 tff(24334,plain,
% 42.52/28.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24335,plain,
% 42.52/28.15 (((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24336,plain,
% 42.52/28.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))))),
% 42.52/28.15 inference(monotonicity,[status(thm)],[24335])).
% 42.52/28.15 tff(24337,plain,
% 42.52/28.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 42.52/28.15 inference(transitivity,[status(thm)],[24336, 24334])).
% 42.52/28.15 tff(24338,plain,
% 42.52/28.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24339,plain,
% 42.52/28.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24338, 24337])).
% 42.52/28.15 tff(24340,plain,
% 42.52/28.15 (v129(constB128, bitIndex1) | (~v100(constB128))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24339, 868, 24333])).
% 42.52/28.15 tff(24341,plain,
% 42.52/28.15 (v129(constB128, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24340, 24316])).
% 42.52/28.15 tff(24342,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24343,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24344,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24343, 24342])).
% 42.52/28.15 tff(24345,plain,
% 42.52/28.15 (v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24344, 853, 16747])).
% 42.52/28.15 tff(24346,plain,
% 42.52/28.15 (v127(constB127, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24345, 24341])).
% 42.52/28.15 tff(24347,plain,
% 42.52/28.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24348,plain,
% 42.52/28.15 ((v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1))) <=> ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24349,plain,
% 42.52/28.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)))),
% 42.52/28.15 inference(monotonicity,[status(thm)],[24348])).
% 42.52/28.15 tff(24350,plain,
% 42.52/28.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 42.52/28.15 inference(transitivity,[status(thm)],[24349, 24347])).
% 42.52/28.15 tff(24351,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24352,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24351, 24350])).
% 42.52/28.15 tff(24353,plain,
% 42.52/28.15 ((~v127(constB127, bitIndex1)) | v130(constB127, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24352, 823, 16814])).
% 42.52/28.15 tff(24354,plain,
% 42.52/28.15 (v130(constB127, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24353, 24346])).
% 42.52/28.15 tff(24355,plain,
% 42.52/28.15 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24356,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24357,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24356, 24355])).
% 42.52/28.15 tff(24358,plain,
% 42.52/28.15 (~v122(constB127)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24357, 2281, 24354])).
% 42.52/28.15 tff(24359,plain,
% 42.52/28.15 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB127)) | (~v130(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB127)) | (~v130(constB127, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24360,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB127)) | (~v130(constB127, bitIndex1)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24361,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB127)) | (~v130(constB127, bitIndex1))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24360, 24359])).
% 42.52/28.15 tff(24362,plain,
% 42.52/28.15 (~v119(constB127)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24361, 809, 24354])).
% 42.52/28.15 tff(24363,plain,
% 42.52/28.15 (~v120(constB127)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16828, 1826, 24328])).
% 42.52/28.15 tff(24364,plain,
% 42.52/28.15 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB127)) | (~v130(constB127, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB127)) | (~v130(constB127, bitIndex2)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24365,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB127)) | (~v130(constB127, bitIndex2)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24366,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB127)) | (~v130(constB127, bitIndex2))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24365, 24364])).
% 42.52/28.15 tff(24367,plain,
% 42.52/28.15 (~v121(constB127)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24366, 1990, 24321])).
% 42.52/28.15 tff(24368,plain,
% 42.52/28.15 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24369,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, bitIndex1)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24370,plain,
% 42.52/28.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, bitIndex1))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24369, 24368])).
% 42.52/28.15 tff(24371,plain,
% 42.52/28.15 (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24370, 1494, 24354])).
% 42.52/28.15 tff(24372,plain,
% 42.52/28.15 ($false),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24371, 24367, 24363, 24362, 24358, 24332, 24325])).
% 42.52/28.15 tff(24373,plain,((~v100(constB128)) | (~v90(constB128, bitIndex2)) | (~v90(constB128, bitIndex0)) | (~v90(constB128, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.15 tff(24374,plain,
% 42.52/28.15 (~v100(constB128)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24373, 24315, 24289, 24306])).
% 42.52/28.15 tff(24375,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24376,plain,
% 42.52/28.15 (((~nextState(constB127, constB128)) | v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0))) <=> (v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24377,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0))))),
% 42.52/28.15 inference(monotonicity,[status(thm)],[24376])).
% 42.52/28.15 tff(24378,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0)))),
% 42.52/28.15 inference(transitivity,[status(thm)],[24377, 24375])).
% 42.52/28.15 tff(24379,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24380,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB127, bitIndex0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex0))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24379, 24378])).
% 42.52/28.15 tff(24381,plain,
% 42.52/28.15 (v90(constB127, bitIndex0) | v100(constB128) | (~v90(constB128, bitIndex0))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24380, 465, 16747])).
% 42.52/28.15 tff(24382,plain,
% 42.52/28.15 (v90(constB127, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24381, 24374, 24289])).
% 42.52/28.15 tff(24383,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex0)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24384,plain,
% 42.52/28.15 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex0) | v100(constB127) | (~v90(constB127, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex0)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24385,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex0) | v100(constB127) | (~v90(constB127, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex0))))),
% 42.52/28.15 inference(monotonicity,[status(thm)],[24384])).
% 42.52/28.15 tff(24386,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex0) | v100(constB127) | (~v90(constB127, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex0)))),
% 42.52/28.15 inference(transitivity,[status(thm)],[24385, 24383])).
% 42.52/28.15 tff(24387,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex0) | v100(constB127) | (~v90(constB127, bitIndex0)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24388,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex0))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24387, 24386])).
% 42.52/28.15 tff(24389,plain,
% 42.52/28.15 (v90(constB126, bitIndex0) | v100(constB127) | (~v90(constB127, bitIndex0))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24388, 465, 16650])).
% 42.52/28.15 tff(24390,plain,
% 42.52/28.15 (v90(constB126, bitIndex0) | (~v90(constB127, bitIndex0))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24389, 16662])).
% 42.52/28.15 tff(24391,plain,
% 42.52/28.15 (v90(constB126, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24390, 24382])).
% 42.52/28.15 tff(24392,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24393,plain,
% 42.52/28.15 (((~nextState(constB127, constB128)) | v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1))) <=> (v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24394,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1))))),
% 42.52/28.15 inference(monotonicity,[status(thm)],[24393])).
% 42.52/28.15 tff(24395,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1)))),
% 42.52/28.15 inference(transitivity,[status(thm)],[24394, 24392])).
% 42.52/28.15 tff(24396,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24397,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB127, bitIndex1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex1))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24396, 24395])).
% 42.52/28.15 tff(24398,plain,
% 42.52/28.15 (v90(constB127, bitIndex1) | v100(constB128) | (~v90(constB128, bitIndex1))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24397, 444, 16747])).
% 42.52/28.15 tff(24399,plain,
% 42.52/28.15 (v90(constB127, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24398, 24374, 24306])).
% 42.52/28.15 tff(24400,plain,
% 42.52/28.15 (v90(constB126, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16670, 24399])).
% 42.52/28.15 tff(24401,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24402,plain,
% 42.52/28.15 (((~nextState(constB127, constB128)) | v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2))) <=> (v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24403,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2))))),
% 42.52/28.15 inference(monotonicity,[status(thm)],[24402])).
% 42.52/28.15 tff(24404,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2)))),
% 42.52/28.15 inference(transitivity,[status(thm)],[24403, 24401])).
% 42.52/28.15 tff(24405,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24406,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB127, bitIndex2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, bitIndex2))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24405, 24404])).
% 42.52/28.15 tff(24407,plain,
% 42.52/28.15 (v90(constB127, bitIndex2) | v100(constB128) | (~v90(constB128, bitIndex2))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24406, 423, 16747])).
% 42.52/28.15 tff(24408,plain,
% 42.52/28.15 (v90(constB127, bitIndex2)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24407, 24374, 24315])).
% 42.52/28.15 tff(24409,plain,
% 42.52/28.15 (v90(constB126, bitIndex2)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16701, 24408])).
% 42.52/28.15 tff(24410,plain,
% 42.52/28.15 (v108(constB125)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16619, 746, 16544])).
% 42.52/28.15 tff(24411,plain,
% 42.52/28.15 (v110(constB126)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16612, 24410])).
% 42.52/28.15 tff(24412,plain,
% 42.52/28.15 (v100(constB126)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16604, 24411])).
% 42.52/28.15 tff(24413,plain,
% 42.52/28.15 (~v130(constB125, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16453, 1494, 16550, 16549, 16548, 16547, 16546, 16545])).
% 42.52/28.15 tff(24414,plain,
% 42.52/28.15 (~v127(constB125, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16465, 24413])).
% 42.52/28.15 tff(24415,plain,
% 42.52/28.15 (~v129(constB126, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16473, 24414])).
% 42.52/28.15 tff(24416,plain,
% 42.52/28.15 ((~v90(constB126, bitIndex1)) | (~v100(constB126))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16642, 868, 24415])).
% 42.52/28.15 tff(24417,plain,
% 42.52/28.15 (~v90(constB126, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24416, 24412])).
% 42.52/28.15 tff(24418,plain,
% 42.52/28.15 (~v90(constB127, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16670, 24417])).
% 42.52/28.15 tff(24419,plain,
% 42.52/28.15 (v100(constB128)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24398, 24418, 24333])).
% 42.52/28.15 tff(24420,plain,
% 42.52/28.15 (v129(constB128, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16850, 24419])).
% 42.52/28.15 tff(24421,plain,
% 42.52/28.15 (v127(constB127, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16841, 24420])).
% 42.52/28.15 tff(24422,plain,
% 42.52/28.15 (v130(constB127, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16836, 24421])).
% 42.52/28.15 tff(24423,plain,
% 42.52/28.15 (~v130(constB125, bitIndex2)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16674, 1405, 16550, 16549, 16548, 16547, 16546, 16545])).
% 42.52/28.15 tff(24424,plain,
% 42.52/28.15 (~v127(constB125, bitIndex2)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16682, 24423])).
% 42.52/28.15 tff(24425,plain,
% 42.52/28.15 (~v129(constB126, bitIndex2)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16687, 24424])).
% 42.52/28.15 tff(24426,plain,
% 42.52/28.15 ((~v90(constB126, bitIndex2)) | (~v100(constB126))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16691, 1452, 24425])).
% 42.52/28.15 tff(24427,plain,
% 42.52/28.15 (~v90(constB126, bitIndex2)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24426, 24412])).
% 42.52/28.15 tff(24428,plain,
% 42.52/28.15 (~v90(constB127, bitIndex2)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16701, 24427])).
% 42.52/28.15 tff(24429,plain,
% 42.52/28.15 (v90(constB126, bitIndex0) | (~v100(constB126))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16571, 1582, 16564])).
% 42.52/28.15 tff(24430,plain,
% 42.52/28.15 (v90(constB126, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24429, 24412])).
% 42.52/28.15 tff(24431,plain,
% 42.52/28.15 (v90(constB127, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16710, 24430])).
% 42.52/28.15 tff(24432,plain,
% 42.52/28.15 (v120(constB127)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16714, 1619, 24431, 24418, 24428])).
% 42.52/28.15 tff(24433,plain,
% 42.52/28.15 ($false),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16828, 1826, 24432, 24422])).
% 42.52/28.15 tff(24434,plain,((~v123(constB123)) | (~v90(constB128, bitIndex0)) | (~v90(constB128, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.15 tff(24435,plain,
% 42.52/28.15 (~v123(constB123)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24434, 24289, 24306])).
% 42.52/28.15 tff(24436,assumption,(v90(constB126, bitIndex0)), introduced(assumption)).
% 42.52/28.15 tff(24437,assumption,(~v100(constB126)), introduced(assumption)).
% 42.52/28.15 tff(24438,plain,
% 42.52/28.15 (v90(constB125, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16635, 24437, 24436])).
% 42.52/28.15 tff(24439,plain,
% 42.52/28.15 (v90(constB124, bitIndex0)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[16527, 24438])).
% 42.52/28.15 tff(24440,assumption,(v90(constB126, bitIndex1)), introduced(assumption)).
% 42.52/28.15 tff(24441,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24442,plain,
% 42.52/28.15 (((~nextState(constB125, constB126)) | v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1))) <=> (v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24443,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1))))),
% 42.52/28.15 inference(monotonicity,[status(thm)],[24442])).
% 42.52/28.15 tff(24444,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1)))),
% 42.52/28.15 inference(transitivity,[status(thm)],[24443, 24441])).
% 42.52/28.15 tff(24445,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24446,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB125, bitIndex1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex1))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24445, 24444])).
% 42.52/28.15 tff(24447,plain,
% 42.52/28.15 (v90(constB125, bitIndex1) | v100(constB126) | (~v90(constB126, bitIndex1))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24446, 444, 16469])).
% 42.52/28.15 tff(24448,plain,
% 42.52/28.15 (v90(constB125, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24447, 24437, 24440])).
% 42.52/28.15 tff(24449,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24450,plain,
% 42.52/28.15 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1)))),
% 42.52/28.15 inference(rewrite,[status(thm)],[])).
% 42.52/28.15 tff(24451,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1))))),
% 42.52/28.15 inference(monotonicity,[status(thm)],[24450])).
% 42.52/28.15 tff(24452,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1)))),
% 42.52/28.15 inference(transitivity,[status(thm)],[24451, 24449])).
% 42.52/28.15 tff(24453,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1)))),
% 42.52/28.15 inference(quant_inst,[status(thm)],[])).
% 42.52/28.15 tff(24454,plain,
% 42.52/28.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex1))),
% 42.52/28.15 inference(modus_ponens,[status(thm)],[24453, 24452])).
% 42.52/28.15 tff(24455,plain,
% 42.52/28.15 (v90(constB124, bitIndex1) | v100(constB125) | (~v90(constB125, bitIndex1))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24454, 444, 16055])).
% 42.52/28.15 tff(24456,plain,
% 42.52/28.15 (v90(constB124, bitIndex1) | (~v90(constB125, bitIndex1))),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24455, 16386])).
% 42.52/28.15 tff(24457,plain,
% 42.52/28.15 (v90(constB124, bitIndex1)),
% 42.52/28.15 inference(unit_resolution,[status(thm)],[24456, 24448])).
% 42.52/28.15 tff(24458,assumption,(v90(constB126, bitIndex2)), introduced(assumption)).
% 42.52/28.15 tff(24459,plain,
% 42.52/28.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB125, bitIndex2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB125, bitIndex2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24460,plain,
% 42.52/28.16 (((~nextState(constB125, constB126)) | v90(constB125, bitIndex2) | v100(constB126) | (~v90(constB126, bitIndex2))) <=> (v90(constB125, bitIndex2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24461,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex2) | v100(constB126) | (~v90(constB126, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB125, bitIndex2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex2))))),
% 42.52/28.16 inference(monotonicity,[status(thm)],[24460])).
% 42.52/28.16 tff(24462,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex2) | v100(constB126) | (~v90(constB126, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB125, bitIndex2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex2)))),
% 42.52/28.16 inference(transitivity,[status(thm)],[24461, 24459])).
% 42.52/28.16 tff(24463,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v90(constB125, bitIndex2) | v100(constB126) | (~v90(constB126, bitIndex2)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24464,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB125, bitIndex2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, bitIndex2))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24463, 24462])).
% 42.52/28.16 tff(24465,plain,
% 42.52/28.16 (v90(constB125, bitIndex2) | v100(constB126) | (~v90(constB126, bitIndex2))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24464, 423, 16469])).
% 42.52/28.16 tff(24466,plain,
% 42.52/28.16 (v90(constB125, bitIndex2)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24465, 24437, 24458])).
% 42.52/28.16 tff(24467,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24468,plain,
% 42.52/28.16 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24469,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))))),
% 42.52/28.16 inference(monotonicity,[status(thm)],[24468])).
% 42.52/28.16 tff(24470,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 42.52/28.16 inference(transitivity,[status(thm)],[24469, 24467])).
% 42.52/28.16 tff(24471,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24472,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24471, 24470])).
% 42.52/28.16 tff(24473,plain,
% 42.52/28.16 (v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24472, 423, 16055])).
% 42.52/28.16 tff(24474,plain,
% 42.52/28.16 (v90(constB124, bitIndex2) | (~v90(constB125, bitIndex2))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24473, 16386])).
% 42.52/28.16 tff(24475,plain,
% 42.52/28.16 (v90(constB124, bitIndex2)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24474, 24466])).
% 42.52/28.16 tff(24476,assumption,(v90(constB124, bitIndex0)), introduced(assumption)).
% 42.52/28.16 tff(24477,assumption,(~v100(constB124)), introduced(assumption)).
% 42.52/28.16 tff(24478,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24479,plain,
% 42.52/28.16 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0))) <=> (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24480,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0))))),
% 42.52/28.16 inference(monotonicity,[status(thm)],[24479])).
% 42.52/28.16 tff(24481,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 42.52/28.16 inference(transitivity,[status(thm)],[24480, 24478])).
% 42.52/28.16 tff(24482,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24483,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB123, bitIndex0) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex0))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24482, 24481])).
% 42.52/28.16 tff(24484,plain,
% 42.52/28.16 (v90(constB123, bitIndex0) | v100(constB124) | (~v90(constB124, bitIndex0))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24483, 465, 16023])).
% 42.52/28.16 tff(24485,plain,
% 42.52/28.16 (v90(constB123, bitIndex0)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24484, 24477, 24476])).
% 42.52/28.16 tff(24486,plain,
% 42.52/28.16 (v90(constB122, bitIndex0)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[16234, 24485])).
% 42.52/28.16 tff(24487,assumption,(v90(constB124, bitIndex1)), introduced(assumption)).
% 42.52/28.16 tff(24488,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24489,plain,
% 42.52/28.16 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1))) <=> (v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24490,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1))))),
% 42.52/28.16 inference(monotonicity,[status(thm)],[24489])).
% 42.52/28.16 tff(24491,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 42.52/28.16 inference(transitivity,[status(thm)],[24490, 24488])).
% 42.52/28.16 tff(24492,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24493,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB123, bitIndex1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex1))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24492, 24491])).
% 42.52/28.16 tff(24494,plain,
% 42.52/28.16 (v90(constB123, bitIndex1) | v100(constB124) | (~v90(constB124, bitIndex1))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24493, 444, 16023])).
% 42.52/28.16 tff(24495,plain,
% 42.52/28.16 (v90(constB123, bitIndex1)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24494, 24477, 24487])).
% 42.52/28.16 tff(24496,plain,
% 42.52/28.16 (v90(constB122, bitIndex1)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[16265, 24495])).
% 42.52/28.16 tff(24497,assumption,(v90(constB124, bitIndex2)), introduced(assumption)).
% 42.52/28.16 tff(24498,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24499,plain,
% 42.52/28.16 (((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2))) <=> (v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24500,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2))))),
% 42.52/28.16 inference(monotonicity,[status(thm)],[24499])).
% 42.52/28.16 tff(24501,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 42.52/28.16 inference(transitivity,[status(thm)],[24500, 24498])).
% 42.52/28.16 tff(24502,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24503,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB123, bitIndex2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, bitIndex2))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24502, 24501])).
% 42.52/28.16 tff(24504,plain,
% 42.52/28.16 (v90(constB123, bitIndex2) | v100(constB124) | (~v90(constB124, bitIndex2))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24503, 423, 16023])).
% 42.52/28.16 tff(24505,plain,
% 42.52/28.16 (v90(constB123, bitIndex2)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24504, 24477, 24497])).
% 42.52/28.16 tff(24506,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24507,plain,
% 42.52/28.16 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24508,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))))),
% 42.52/28.16 inference(monotonicity,[status(thm)],[24507])).
% 42.52/28.16 tff(24509,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 42.52/28.16 inference(transitivity,[status(thm)],[24508, 24506])).
% 42.52/28.16 tff(24510,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24511,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24510, 24509])).
% 42.52/28.16 tff(24512,plain,
% 42.52/28.16 (v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24511, 423, 15170])).
% 42.52/28.16 tff(24513,plain,
% 42.52/28.16 (v90(constB122, bitIndex2) | (~v90(constB123, bitIndex2))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24512, 16195])).
% 42.52/28.16 tff(24514,plain,
% 42.52/28.16 (v90(constB122, bitIndex2)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24513, 24505])).
% 42.52/28.16 tff(24515,assumption,(v100(constB122)), introduced(assumption)).
% 42.52/28.16 tff(24516,assumption,(v90(constB122, bitIndex2)), introduced(assumption)).
% 42.52/28.16 tff(24517,plain,
% 42.52/28.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24518,plain,
% 42.52/28.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24519,plain,
% 42.52/28.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24518, 24517])).
% 42.52/28.16 tff(24520,plain,
% 42.52/28.16 (v129(constB122, bitIndex2) | (~v100(constB122))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24519, 1452, 24516])).
% 42.52/28.16 tff(24521,plain,
% 42.52/28.16 (v129(constB122, bitIndex2)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24520, 24515])).
% 42.52/28.16 tff(24522,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24523,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24524,plain,
% 42.52/28.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24523, 24522])).
% 42.52/28.16 tff(24525,plain,
% 42.52/28.16 (v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24524, 1437, 15138])).
% 42.52/28.16 tff(24526,plain,
% 42.52/28.16 (v127(constB121, bitIndex2)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24525, 24521])).
% 42.52/28.16 tff(24527,plain,
% 42.52/28.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24528,plain,
% 42.52/28.16 ((v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2))) <=> ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24529,plain,
% 42.52/28.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)))),
% 42.52/28.16 inference(monotonicity,[status(thm)],[24528])).
% 42.52/28.16 tff(24530,plain,
% 42.52/28.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 42.52/28.16 inference(transitivity,[status(thm)],[24529, 24527])).
% 42.52/28.16 tff(24531,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24532,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24531, 24530])).
% 42.52/28.16 tff(24533,plain,
% 42.52/28.16 ((~v127(constB121, bitIndex2)) | v130(constB121, bitIndex2)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24532, 1419, 16114])).
% 42.52/28.16 tff(24534,plain,
% 42.52/28.16 (v130(constB121, bitIndex2)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24533, 24526])).
% 42.52/28.16 tff(24535,plain,
% 42.52/28.16 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB121)) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB121)) | (~v130(constB121, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24536,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB121)) | (~v130(constB121, bitIndex2)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24537,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB121)) | (~v130(constB121, bitIndex2))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 42.52/28.16 tff(24538,plain,
% 42.52/28.16 (~v124(constB121)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24537, 3868, 24534])).
% 42.52/28.16 tff(24539,plain,
% 42.52/28.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB121)) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB121)) | (~v130(constB121, bitIndex2)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24540,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB121)) | (~v130(constB121, bitIndex2)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24541,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB121)) | (~v130(constB121, bitIndex2))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 42.52/28.16 tff(24542,plain,
% 42.52/28.16 (~v121(constB121)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24541, 1990, 24534])).
% 42.52/28.16 tff(24543,assumption,(v90(constB122, bitIndex0)), introduced(assumption)).
% 42.52/28.16 tff(24544,plain,
% 42.52/28.16 (v129(constB122, bitIndex0) | (~v100(constB122))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[16224, 952, 24543])).
% 42.52/28.16 tff(24545,plain,
% 42.52/28.16 (v129(constB122, bitIndex0)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24544, 24515])).
% 42.52/28.16 tff(24546,plain,
% 42.52/28.16 (v127(constB121, bitIndex0)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[16217, 24545])).
% 42.52/28.16 tff(24547,plain,
% 42.52/28.16 ((~v127(constB121, bitIndex0)) | v130(constB121, bitIndex0)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[16211, 907, 16114])).
% 42.52/28.16 tff(24548,plain,
% 42.52/28.16 (v130(constB121, bitIndex0)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24547, 24546])).
% 42.52/28.16 tff(24549,plain,
% 42.52/28.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB121)) | (~v130(constB121, bitIndex0)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24550,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB121)) | (~v130(constB121, bitIndex0)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24551,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB121)) | (~v130(constB121, bitIndex0))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24550, 24549])).
% 42.52/28.16 tff(24552,plain,
% 42.52/28.16 (~v119(constB121)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24551, 893, 24548])).
% 42.52/28.16 tff(24553,plain,
% 42.52/28.16 (~v122(constB121)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[16073, 2327, 24548])).
% 42.52/28.16 tff(24554,plain,
% 42.52/28.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB121)) | (~v130(constB121, bitIndex0)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24555,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB121)) | (~v130(constB121, bitIndex0)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24556,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB121)) | (~v130(constB121, bitIndex0))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24555, 24554])).
% 42.52/28.16 tff(24557,plain,
% 42.52/28.16 (~v123(constB121)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24556, 1208, 24548])).
% 42.52/28.16 tff(24558,assumption,(v90(constB122, bitIndex1)), introduced(assumption)).
% 42.52/28.16 tff(24559,plain,
% 42.52/28.16 (v129(constB122, bitIndex1) | (~v100(constB122))),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[16255, 868, 24558])).
% 42.52/28.16 tff(24560,plain,
% 42.52/28.16 (v129(constB122, bitIndex1)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24559, 24515])).
% 42.52/28.16 tff(24561,plain,
% 42.52/28.16 (v127(constB121, bitIndex1)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[16248, 24560])).
% 42.52/28.16 tff(24562,plain,
% 42.52/28.16 ((~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[16242, 823, 16114])).
% 42.52/28.16 tff(24563,plain,
% 42.52/28.16 (v130(constB121, bitIndex1)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24562, 24561])).
% 42.52/28.16 tff(24564,plain,
% 42.52/28.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB121)) | (~v130(constB121, bitIndex0)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24565,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB121)) | (~v130(constB121, bitIndex0)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24566,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB121)) | (~v130(constB121, bitIndex0))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24565, 24564])).
% 42.52/28.16 tff(24567,plain,
% 42.52/28.16 (~v120(constB121)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24566, 1826, 24548])).
% 42.52/28.16 tff(24568,plain,
% 42.52/28.16 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24569,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 42.52/28.16 inference(quant_inst,[status(thm)],[])).
% 42.52/28.16 tff(24570,plain,
% 42.52/28.16 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1))),
% 42.52/28.16 inference(modus_ponens,[status(thm)],[24569, 24568])).
% 42.52/28.16 tff(24571,plain,
% 42.52/28.16 (v121(constB121) | v124(constB121)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24570, 1494, 24567, 24563, 24557, 24553, 24552])).
% 42.52/28.16 tff(24572,plain,
% 42.52/28.16 ($false),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24571, 24542, 24538])).
% 42.52/28.16 tff(24573,plain,((~v100(constB122)) | (~v90(constB122, bitIndex2)) | (~v90(constB122, bitIndex1)) | (~v90(constB122, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.16 tff(24574,plain,
% 42.52/28.16 (~v100(constB122)),
% 42.52/28.16 inference(unit_resolution,[status(thm)],[24573, 24514, 24496, 24486])).
% 42.52/28.16 tff(24575,plain,
% 42.52/28.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 42.52/28.16 inference(rewrite,[status(thm)],[])).
% 42.52/28.16 tff(24576,plain,
% 42.52/28.16 (((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0))) <=> (v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24577,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0))))),
% 42.52/28.17 inference(monotonicity,[status(thm)],[24576])).
% 42.52/28.17 tff(24578,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 42.52/28.17 inference(transitivity,[status(thm)],[24577, 24575])).
% 42.52/28.17 tff(24579,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24580,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB121, bitIndex0) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex0))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24579, 24578])).
% 42.52/28.17 tff(24581,plain,
% 42.52/28.17 (v90(constB121, bitIndex0) | v100(constB122) | (~v90(constB122, bitIndex0))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24580, 465, 15138])).
% 42.52/28.17 tff(24582,plain,
% 42.52/28.17 (v90(constB121, bitIndex0)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24581, 24574, 24486])).
% 42.52/28.17 tff(24583,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24584,plain,
% 42.52/28.17 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24585,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))))),
% 42.52/28.17 inference(monotonicity,[status(thm)],[24584])).
% 42.52/28.17 tff(24586,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 42.52/28.17 inference(transitivity,[status(thm)],[24585, 24583])).
% 42.52/28.17 tff(24587,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24588,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24587, 24586])).
% 42.52/28.17 tff(24589,plain,
% 42.52/28.17 (v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24588, 465, 14731])).
% 42.52/28.17 tff(24590,plain,
% 42.52/28.17 (v90(constB120, bitIndex0) | (~v90(constB121, bitIndex0))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24589, 15809])).
% 42.52/28.17 tff(24591,plain,
% 42.52/28.17 (v90(constB120, bitIndex0)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24590, 24582])).
% 42.52/28.17 tff(24592,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24593,plain,
% 42.52/28.17 (((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2))) <=> (v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24594,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2))))),
% 42.52/28.17 inference(monotonicity,[status(thm)],[24593])).
% 42.52/28.17 tff(24595,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 42.52/28.17 inference(transitivity,[status(thm)],[24594, 24592])).
% 42.52/28.17 tff(24596,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24597,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB121, bitIndex2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex2))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24596, 24595])).
% 42.52/28.17 tff(24598,plain,
% 42.52/28.17 (v90(constB121, bitIndex2) | v100(constB122) | (~v90(constB122, bitIndex2))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24597, 423, 15138])).
% 42.52/28.17 tff(24599,plain,
% 42.52/28.17 (v90(constB121, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24598, 24574, 24514])).
% 42.52/28.17 tff(24600,plain,
% 42.52/28.17 (v90(constB120, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15817, 24599])).
% 42.52/28.17 tff(24601,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24602,plain,
% 42.52/28.17 (((~nextState(constB121, constB122)) | v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1))) <=> (v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24603,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1))))),
% 42.52/28.17 inference(monotonicity,[status(thm)],[24602])).
% 42.52/28.17 tff(24604,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1)))),
% 42.52/28.17 inference(transitivity,[status(thm)],[24603, 24601])).
% 42.52/28.17 tff(24605,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24606,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB121, bitIndex1) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, bitIndex1))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24605, 24604])).
% 42.52/28.17 tff(24607,plain,
% 42.52/28.17 (v90(constB121, bitIndex1) | v100(constB122) | (~v90(constB122, bitIndex1))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24606, 444, 15138])).
% 42.52/28.17 tff(24608,plain,
% 42.52/28.17 (v90(constB121, bitIndex1)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24607, 24574, 24496])).
% 42.52/28.17 tff(24609,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex1)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24610,plain,
% 42.52/28.17 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex1) | v100(constB121) | (~v90(constB121, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex1)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24611,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex1) | v100(constB121) | (~v90(constB121, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex1))))),
% 42.52/28.17 inference(monotonicity,[status(thm)],[24610])).
% 42.52/28.17 tff(24612,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex1) | v100(constB121) | (~v90(constB121, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex1)))),
% 42.52/28.17 inference(transitivity,[status(thm)],[24611, 24609])).
% 42.52/28.17 tff(24613,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex1) | v100(constB121) | (~v90(constB121, bitIndex1)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24614,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex1))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24613, 24612])).
% 42.52/28.17 tff(24615,plain,
% 42.52/28.17 (v90(constB120, bitIndex1) | v100(constB121) | (~v90(constB121, bitIndex1))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24614, 444, 14731])).
% 42.52/28.17 tff(24616,plain,
% 42.52/28.17 (v90(constB120, bitIndex1) | (~v90(constB121, bitIndex1))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24615, 15809])).
% 42.52/28.17 tff(24617,plain,
% 42.52/28.17 (v90(constB120, bitIndex1)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24616, 24608])).
% 42.52/28.17 tff(24618,plain,
% 42.52/28.17 (v100(constB120)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15782, 24617, 24600, 24591])).
% 42.52/28.17 tff(24619,plain,
% 42.52/28.17 (v129(constB120, bitIndex2) | (~v100(constB120))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15795, 1452, 24600])).
% 42.52/28.17 tff(24620,plain,
% 42.52/28.17 (v129(constB120, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24619, 24618])).
% 42.52/28.17 tff(24621,plain,
% 42.52/28.17 (v127(constB119, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15203, 24620])).
% 42.52/28.17 tff(24622,plain,
% 42.52/28.17 (v130(constB119, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15198, 24621])).
% 42.52/28.17 tff(24623,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB119)) | (~v130(constB119, bitIndex2)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24624,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex2)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24625,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB119)) | (~v130(constB119, bitIndex2))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24624, 24623])).
% 42.52/28.17 tff(24626,plain,
% 42.52/28.17 (~v124(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24625, 3868, 24622])).
% 42.52/28.17 tff(24627,plain,
% 42.52/28.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24628,plain,
% 42.52/28.17 (((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24629,plain,
% 42.52/28.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))))),
% 42.52/28.17 inference(monotonicity,[status(thm)],[24628])).
% 42.52/28.17 tff(24630,plain,
% 42.52/28.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 42.52/28.17 inference(transitivity,[status(thm)],[24629, 24627])).
% 42.52/28.17 tff(24631,plain,
% 42.52/28.17 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24632,plain,
% 42.52/28.17 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24631, 24630])).
% 42.52/28.17 tff(24633,plain,
% 42.52/28.17 (v129(constB120, bitIndex0) | (~v100(constB120))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24632, 952, 24591])).
% 42.52/28.17 tff(24634,plain,
% 42.52/28.17 (v129(constB120, bitIndex0)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24633, 24618])).
% 42.52/28.17 tff(24635,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24636,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24637,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24636, 24635])).
% 42.52/28.17 tff(24638,plain,
% 42.52/28.17 (v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24637, 937, 14631])).
% 42.52/28.17 tff(24639,plain,
% 42.52/28.17 (v127(constB119, bitIndex0)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24638, 24634])).
% 42.52/28.17 tff(24640,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24641,plain,
% 42.52/28.17 ((v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0))) <=> ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24642,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)))),
% 42.52/28.17 inference(monotonicity,[status(thm)],[24641])).
% 42.52/28.17 tff(24643,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 42.52/28.17 inference(transitivity,[status(thm)],[24642, 24640])).
% 42.52/28.17 tff(24644,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24645,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24644, 24643])).
% 42.52/28.17 tff(24646,plain,
% 42.52/28.17 ((~v127(constB119, bitIndex0)) | v130(constB119, bitIndex0)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24645, 907, 15191])).
% 42.52/28.17 tff(24647,plain,
% 42.52/28.17 (v130(constB119, bitIndex0)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24646, 24639])).
% 42.52/28.17 tff(24648,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB119)) | (~v130(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB119)) | (~v130(constB119, bitIndex0)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24649,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB119)) | (~v130(constB119, bitIndex0)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24650,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB119)) | (~v130(constB119, bitIndex0))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24649, 24648])).
% 42.52/28.17 tff(24651,plain,
% 42.52/28.17 (~v123(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24650, 1208, 24647])).
% 42.52/28.17 tff(24652,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB119)) | (~v130(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB119)) | (~v130(constB119, bitIndex0)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24653,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB119)) | (~v130(constB119, bitIndex0)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24654,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB119)) | (~v130(constB119, bitIndex0))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24653, 24652])).
% 42.52/28.17 tff(24655,plain,
% 42.52/28.17 (~v120(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24654, 1826, 24647])).
% 42.52/28.17 tff(24656,plain,
% 42.52/28.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | v129(constB120, bitIndex1) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | v129(constB120, bitIndex1) | (~v100(constB120)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24657,plain,
% 42.52/28.17 (((~v90(constB120, bitIndex1)) | (~v100(constB120)) | v129(constB120, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | v129(constB120, bitIndex1) | (~v100(constB120)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24658,plain,
% 42.52/28.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~v100(constB120)) | v129(constB120, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | v129(constB120, bitIndex1) | (~v100(constB120))))),
% 42.52/28.17 inference(monotonicity,[status(thm)],[24657])).
% 42.52/28.17 tff(24659,plain,
% 42.52/28.17 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~v100(constB120)) | v129(constB120, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | v129(constB120, bitIndex1) | (~v100(constB120)))),
% 42.52/28.17 inference(transitivity,[status(thm)],[24658, 24656])).
% 42.52/28.17 tff(24660,plain,
% 42.52/28.17 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~v100(constB120)) | v129(constB120, bitIndex1))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24661,plain,
% 42.52/28.17 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | v129(constB120, bitIndex1) | (~v100(constB120))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24660, 24659])).
% 42.52/28.17 tff(24662,plain,
% 42.52/28.17 (v129(constB120, bitIndex1) | (~v100(constB120))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24661, 868, 24617])).
% 42.52/28.17 tff(24663,plain,
% 42.52/28.17 (v129(constB120, bitIndex1)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24662, 24618])).
% 42.52/28.17 tff(24664,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex1) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex1) | (~v129(constB120, bitIndex1)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24665,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex1) | (~v129(constB120, bitIndex1)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24666,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex1) | (~v129(constB120, bitIndex1))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24665, 24664])).
% 42.52/28.17 tff(24667,plain,
% 42.52/28.17 (v127(constB119, bitIndex1) | (~v129(constB120, bitIndex1))),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24666, 853, 14631])).
% 42.52/28.17 tff(24668,plain,
% 42.52/28.17 (v127(constB119, bitIndex1)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24667, 24663])).
% 42.52/28.17 tff(24669,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB119, bitIndex1)) | v26(constB119) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB119, bitIndex1)) | v26(constB119) | v130(constB119, bitIndex1))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24670,plain,
% 42.52/28.17 ((v26(constB119) | v130(constB119, bitIndex1) | (~v127(constB119, bitIndex1))) <=> ((~v127(constB119, bitIndex1)) | v26(constB119) | v130(constB119, bitIndex1))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24671,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB119) | v130(constB119, bitIndex1) | (~v127(constB119, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB119, bitIndex1)) | v26(constB119) | v130(constB119, bitIndex1)))),
% 42.52/28.17 inference(monotonicity,[status(thm)],[24670])).
% 42.52/28.17 tff(24672,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB119) | v130(constB119, bitIndex1) | (~v127(constB119, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB119, bitIndex1)) | v26(constB119) | v130(constB119, bitIndex1))),
% 42.52/28.17 inference(transitivity,[status(thm)],[24671, 24669])).
% 42.52/28.17 tff(24673,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB119) | v130(constB119, bitIndex1) | (~v127(constB119, bitIndex1)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24674,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB119, bitIndex1)) | v26(constB119) | v130(constB119, bitIndex1)),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24673, 24672])).
% 42.52/28.17 tff(24675,plain,
% 42.52/28.17 ((~v127(constB119, bitIndex1)) | v130(constB119, bitIndex1)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24674, 823, 15191])).
% 42.52/28.17 tff(24676,plain,
% 42.52/28.17 (v130(constB119, bitIndex1)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24675, 24668])).
% 42.52/28.17 tff(24677,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB119)) | (~v130(constB119, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB119)) | (~v130(constB119, bitIndex1)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24678,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB119)) | (~v130(constB119, bitIndex1)))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24679,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB119)) | (~v130(constB119, bitIndex1))),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24678, 24677])).
% 42.52/28.17 tff(24680,plain,
% 42.52/28.17 (~v119(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24679, 809, 24676])).
% 42.52/28.17 tff(24681,plain,
% 42.52/28.17 (~v121(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15186, 1990, 24622])).
% 42.52/28.17 tff(24682,assumption,(v122(constB119)), introduced(assumption)).
% 42.52/28.17 tff(24683,plain,
% 42.52/28.17 (v116(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15268, 2140, 24682])).
% 42.52/28.17 tff(24684,plain,
% 42.52/28.17 (v115(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15264, 539, 24683])).
% 42.52/28.17 tff(24685,plain,
% 42.52/28.17 (v114(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15257, 553, 24684])).
% 42.52/28.17 tff(24686,plain,
% 42.52/28.17 (v113(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15253, 567, 24685])).
% 42.52/28.17 tff(24687,plain,
% 42.52/28.17 (v112(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15249, 24686])).
% 42.52/28.17 tff(24688,plain,
% 42.52/28.17 (v108(constB119)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15244, 746, 24687])).
% 42.52/28.17 tff(24689,plain,
% 42.52/28.17 (v110(constB120)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15237, 24688])).
% 42.52/28.17 tff(24690,plain,
% 42.52/28.17 (v100(constB120)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[15229, 24689])).
% 42.52/28.17 tff(24691,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB119)) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB119)) | v130(constB119, bitIndex2))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24692,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB119)) | v130(constB119, bitIndex2))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24693,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB119)) | v130(constB119, bitIndex2)),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24692, 24691])).
% 42.52/28.17 tff(24694,plain,
% 42.52/28.17 (v130(constB119, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24693, 2224, 24682])).
% 42.52/28.17 tff(24695,plain,
% 42.52/28.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24696,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24697,plain,
% 42.52/28.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24696, 24695])).
% 42.52/28.17 tff(24698,plain,
% 42.52/28.17 ((~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24697, 607, 15191])).
% 42.52/28.17 tff(24699,plain,
% 42.52/28.17 (v127(constB119, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24698, 24694])).
% 42.52/28.17 tff(24700,plain,
% 42.52/28.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24701,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 42.52/28.17 inference(quant_inst,[status(thm)],[])).
% 42.52/28.17 tff(24702,plain,
% 42.52/28.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 42.52/28.17 inference(modus_ponens,[status(thm)],[24701, 24700])).
% 42.52/28.17 tff(24703,plain,
% 42.52/28.17 ((~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24702, 625, 14631])).
% 42.52/28.17 tff(24704,plain,
% 42.52/28.17 (v129(constB120, bitIndex2)),
% 42.52/28.17 inference(unit_resolution,[status(thm)],[24703, 24699])).
% 42.52/28.17 tff(24705,plain,
% 42.52/28.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24706,plain,
% 42.52/28.17 ((v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 42.52/28.17 inference(rewrite,[status(thm)],[])).
% 42.52/28.17 tff(24707,plain,
% 42.52/28.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))))),
% 42.52/28.18 inference(monotonicity,[status(thm)],[24706])).
% 42.52/28.18 tff(24708,plain,
% 42.52/28.18 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 42.52/28.18 inference(transitivity,[status(thm)],[24707, 24705])).
% 42.52/28.18 tff(24709,plain,
% 42.52/28.18 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24710,plain,
% 42.52/28.18 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24709, 24708])).
% 42.52/28.18 tff(24711,plain,
% 42.52/28.18 (v90(constB120, bitIndex2) | (~v100(constB120))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24710, 641, 24704])).
% 42.52/28.18 tff(24712,plain,
% 42.52/28.18 (v90(constB120, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24711, 24690])).
% 42.52/28.18 tff(24713,plain,
% 42.52/28.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24714,plain,
% 42.52/28.18 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)) <=> ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24715,plain,
% 42.52/28.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)))),
% 42.52/28.18 inference(monotonicity,[status(thm)],[24714])).
% 42.52/28.18 tff(24716,plain,
% 42.52/28.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 42.52/28.18 inference(transitivity,[status(thm)],[24715, 24713])).
% 42.52/28.18 tff(24717,plain,
% 42.52/28.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24718,plain,
% 42.52/28.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24717, 24716])).
% 42.52/28.18 tff(24719,plain,
% 42.52/28.18 ((~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24718, 783, 14731])).
% 42.52/28.18 tff(24720,plain,
% 42.52/28.18 ((~v90(constB120, bitIndex2)) | v90(constB121, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24719, 15809])).
% 42.52/28.18 tff(24721,plain,
% 42.52/28.18 (v90(constB121, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24720, 24712])).
% 42.52/28.18 tff(24722,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB119)) | (~v130(constB119, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB119)) | (~v130(constB119, bitIndex1)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24723,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB119)) | (~v130(constB119, bitIndex1)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24724,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB119)) | (~v130(constB119, bitIndex1))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24723, 24722])).
% 42.52/28.18 tff(24725,plain,
% 42.52/28.18 (~v130(constB119, bitIndex1)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24724, 2281, 24682])).
% 42.52/28.18 tff(24726,plain,
% 42.52/28.18 (~v127(constB119, bitIndex1)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24675, 24725])).
% 42.52/28.18 tff(24727,plain,
% 42.52/28.18 (~v129(constB120, bitIndex1)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24667, 24726])).
% 42.52/28.18 tff(24728,plain,
% 42.52/28.18 ((~v90(constB120, bitIndex1)) | (~v100(constB120))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24661, 868, 24727])).
% 42.52/28.18 tff(24729,plain,
% 42.52/28.18 (~v90(constB120, bitIndex1)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24728, 24690])).
% 42.52/28.18 tff(24730,plain,
% 42.52/28.18 (~v90(constB121, bitIndex1)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24616, 24729])).
% 42.52/28.18 tff(24731,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB119)) | (~v130(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB119)) | (~v130(constB119, bitIndex0)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24732,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB119)) | (~v130(constB119, bitIndex0)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24733,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB119)) | (~v130(constB119, bitIndex0))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24732, 24731])).
% 42.52/28.18 tff(24734,plain,
% 42.52/28.18 (~v130(constB119, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24733, 2327, 24682])).
% 42.52/28.18 tff(24735,plain,
% 42.52/28.18 (~v127(constB119, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24646, 24734])).
% 42.52/28.18 tff(24736,plain,
% 42.52/28.18 (~v129(constB120, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24638, 24735])).
% 42.52/28.18 tff(24737,plain,
% 42.52/28.18 ((~v90(constB120, bitIndex0)) | (~v100(constB120))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24632, 952, 24736])).
% 42.52/28.18 tff(24738,plain,
% 42.52/28.18 (~v90(constB120, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24737, 24690])).
% 42.52/28.18 tff(24739,plain,
% 42.52/28.18 (~v90(constB121, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24590, 24738])).
% 42.52/28.18 tff(24740,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | v123(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | v123(constB121))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24741,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | v123(constB121))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24742,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | v123(constB121)),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24741, 24740])).
% 42.52/28.18 tff(24743,plain,
% 42.52/28.18 (v123(constB121)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24742, 979, 24739, 24730, 24721])).
% 42.52/28.18 tff(24744,plain,
% 42.52/28.18 (v100(constB122)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24581, 24739, 24543])).
% 42.52/28.18 tff(24745,plain,
% 42.52/28.18 (v129(constB122, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24544, 24744])).
% 42.52/28.18 tff(24746,plain,
% 42.52/28.18 (v127(constB121, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[16217, 24745])).
% 42.52/28.18 tff(24747,plain,
% 42.52/28.18 (v130(constB121, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24547, 24746])).
% 42.52/28.18 tff(24748,plain,
% 42.52/28.18 ($false),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24556, 1208, 24747, 24743])).
% 42.52/28.18 tff(24749,plain,((~v122(constB119)) | (~v90(constB122, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.18 tff(24750,plain,
% 42.52/28.18 (~v122(constB119)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24749, 24486])).
% 42.52/28.18 tff(24751,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB119) | v120(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | (~v130(constB119, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB119) | v120(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | (~v130(constB119, bitIndex1)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24752,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB119) | v120(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | (~v130(constB119, bitIndex1)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24753,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB119) | v120(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | (~v130(constB119, bitIndex1))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24752, 24751])).
% 42.52/28.18 tff(24754,plain,
% 42.52/28.18 (v119(constB119) | v120(constB119) | v121(constB119) | v123(constB119) | v124(constB119) | (~v130(constB119, bitIndex1))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24753, 1494, 24750])).
% 42.52/28.18 tff(24755,plain,
% 42.52/28.18 ($false),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24754, 24681, 24680, 24676, 24655, 24651, 24626])).
% 42.52/28.18 tff(24756,plain,(v100(constB124) | (~v90(constB124, bitIndex2)) | (~v90(constB124, bitIndex1)) | (~v90(constB124, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.18 tff(24757,plain,
% 42.52/28.18 (v100(constB124)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24756, 24475, 24457, 24439])).
% 42.52/28.18 tff(24758,plain,
% 42.52/28.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24759,plain,
% 42.52/28.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24760,plain,
% 42.52/28.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24759, 24758])).
% 42.52/28.18 tff(24761,plain,
% 42.52/28.18 (v129(constB124, bitIndex2) | (~v100(constB124))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24760, 1452, 24475])).
% 42.52/28.18 tff(24762,plain,
% 42.52/28.18 (v129(constB124, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24761, 24757])).
% 42.52/28.18 tff(24763,plain,
% 42.52/28.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24764,plain,
% 42.52/28.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24765,plain,
% 42.52/28.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24764, 24763])).
% 42.52/28.18 tff(24766,plain,
% 42.52/28.18 (v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24765, 1437, 16023])).
% 42.52/28.18 tff(24767,plain,
% 42.52/28.18 (v127(constB123, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24766, 24762])).
% 42.52/28.18 tff(24768,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24769,plain,
% 42.52/28.18 ((v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2))) <=> ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24770,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)))),
% 42.52/28.18 inference(monotonicity,[status(thm)],[24769])).
% 42.52/28.18 tff(24771,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 42.52/28.18 inference(transitivity,[status(thm)],[24770, 24768])).
% 42.52/28.18 tff(24772,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24773,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24772, 24771])).
% 42.52/28.18 tff(24774,plain,
% 42.52/28.18 ((~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24773, 1419, 16297])).
% 42.52/28.18 tff(24775,plain,
% 42.52/28.18 (v130(constB123, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24774, 24767])).
% 42.52/28.18 tff(24776,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB123)) | (~v130(constB123, bitIndex2)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24777,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB123)) | (~v130(constB123, bitIndex2)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24778,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB123)) | (~v130(constB123, bitIndex2))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24777, 24776])).
% 42.52/28.18 tff(24779,plain,
% 42.52/28.18 (~v124(constB123)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24778, 3868, 24775])).
% 42.52/28.18 tff(24780,plain,
% 42.52/28.18 (v129(constB124, bitIndex0) | (~v100(constB124))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[16517, 952, 24439])).
% 42.52/28.18 tff(24781,plain,
% 42.52/28.18 (v129(constB124, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24780, 24757])).
% 42.52/28.18 tff(24782,plain,
% 42.52/28.18 (v127(constB123, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[16510, 24781])).
% 42.52/28.18 tff(24783,plain,
% 42.52/28.18 (v130(constB123, bitIndex0)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[16505, 24782])).
% 42.52/28.18 tff(24784,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB123)) | (~v130(constB123, bitIndex0)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24785,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB123)) | (~v130(constB123, bitIndex0)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24786,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB123)) | (~v130(constB123, bitIndex0))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24785, 24784])).
% 42.52/28.18 tff(24787,plain,
% 42.52/28.18 (~v122(constB123)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24786, 2327, 24783])).
% 42.52/28.18 tff(24788,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB123)) | (~v130(constB123, bitIndex2)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24789,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB123)) | (~v130(constB123, bitIndex2)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24790,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB123)) | (~v130(constB123, bitIndex2))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24789, 24788])).
% 42.52/28.18 tff(24791,plain,
% 42.52/28.18 (~v121(constB123)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24790, 1990, 24775])).
% 42.52/28.18 tff(24792,plain,
% 42.52/28.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24793,plain,
% 42.52/28.18 (((~v90(constB124, bitIndex1)) | (~v100(constB124)) | v129(constB124, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24794,plain,
% 42.52/28.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~v100(constB124)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124))))),
% 42.52/28.18 inference(monotonicity,[status(thm)],[24793])).
% 42.52/28.18 tff(24795,plain,
% 42.52/28.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~v100(constB124)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124)))),
% 42.52/28.18 inference(transitivity,[status(thm)],[24794, 24792])).
% 42.52/28.18 tff(24796,plain,
% 42.52/28.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~v100(constB124)) | v129(constB124, bitIndex1))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24797,plain,
% 42.52/28.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | v129(constB124, bitIndex1) | (~v100(constB124))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24796, 24795])).
% 42.52/28.18 tff(24798,plain,
% 42.52/28.18 (v129(constB124, bitIndex1) | (~v100(constB124))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24797, 868, 24457])).
% 42.52/28.18 tff(24799,plain,
% 42.52/28.18 (v129(constB124, bitIndex1)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24798, 24757])).
% 42.52/28.18 tff(24800,plain,
% 42.52/28.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24801,plain,
% 42.52/28.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24802,plain,
% 42.52/28.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24801, 24800])).
% 42.52/28.18 tff(24803,plain,
% 42.52/28.18 (v127(constB123, bitIndex1) | (~v129(constB124, bitIndex1))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24802, 853, 16023])).
% 42.52/28.18 tff(24804,plain,
% 42.52/28.18 (v127(constB123, bitIndex1)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24803, 24799])).
% 42.52/28.18 tff(24805,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24806,plain,
% 42.52/28.18 ((v26(constB123) | v130(constB123, bitIndex1) | (~v127(constB123, bitIndex1))) <=> ((~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24807,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB123) | v130(constB123, bitIndex1) | (~v127(constB123, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1)))),
% 42.52/28.18 inference(monotonicity,[status(thm)],[24806])).
% 42.52/28.18 tff(24808,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB123) | v130(constB123, bitIndex1) | (~v127(constB123, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1))),
% 42.52/28.18 inference(transitivity,[status(thm)],[24807, 24805])).
% 42.52/28.18 tff(24809,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB123) | v130(constB123, bitIndex1) | (~v127(constB123, bitIndex1)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24810,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB123, bitIndex1)) | v26(constB123) | v130(constB123, bitIndex1)),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 42.52/28.18 tff(24811,plain,
% 42.52/28.18 ((~v127(constB123, bitIndex1)) | v130(constB123, bitIndex1)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24810, 823, 16297])).
% 42.52/28.18 tff(24812,plain,
% 42.52/28.18 (v130(constB123, bitIndex1)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24811, 24804])).
% 42.52/28.18 tff(24813,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB123)) | (~v130(constB123, bitIndex0)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24814,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB123)) | (~v130(constB123, bitIndex0)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24815,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB123)) | (~v130(constB123, bitIndex0))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24814, 24813])).
% 42.52/28.18 tff(24816,plain,
% 42.52/28.18 (~v119(constB123)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24815, 893, 24783])).
% 42.52/28.18 tff(24817,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24818,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24819,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24818, 24817])).
% 42.52/28.18 tff(24820,plain,
% 42.52/28.18 (~v120(constB123)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24819, 1826, 24783])).
% 42.52/28.18 tff(24821,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex1)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24822,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex1)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24823,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, bitIndex1))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24822, 24821])).
% 42.52/28.18 tff(24824,plain,
% 42.52/28.18 (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v124(constB123) | (~v130(constB123, bitIndex1))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24823, 1494, 16267])).
% 42.52/28.18 tff(24825,plain,
% 42.52/28.18 ($false),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24824, 24820, 24816, 24812, 24791, 24787, 24779])).
% 42.52/28.18 tff(24826,plain,(v100(constB126) | v123(constB123) | (~v90(constB126, bitIndex2)) | (~v90(constB126, bitIndex1)) | (~v90(constB126, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.18 tff(24827,plain,
% 42.52/28.18 (v100(constB126)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24826, 24435, 24409, 24400, 24391])).
% 42.52/28.18 tff(24828,plain,
% 42.52/28.18 (v129(constB126, bitIndex2) | (~v100(constB126))),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[16691, 1452, 24409])).
% 42.52/28.18 tff(24829,plain,
% 42.52/28.18 (v129(constB126, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24828, 24827])).
% 42.52/28.18 tff(24830,plain,
% 42.52/28.18 (v127(constB125, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[16687, 24829])).
% 42.52/28.18 tff(24831,plain,
% 42.52/28.18 (v130(constB125, bitIndex2)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[16682, 24830])).
% 42.52/28.18 tff(24832,plain,
% 42.52/28.18 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB125)) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB125)) | (~v130(constB125, bitIndex2)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24833,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB125)) | (~v130(constB125, bitIndex2)))),
% 42.52/28.18 inference(quant_inst,[status(thm)],[])).
% 42.52/28.18 tff(24834,plain,
% 42.52/28.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB125)) | (~v130(constB125, bitIndex2))),
% 42.52/28.18 inference(modus_ponens,[status(thm)],[24833, 24832])).
% 42.52/28.18 tff(24835,plain,
% 42.52/28.18 (~v124(constB125)),
% 42.52/28.18 inference(unit_resolution,[status(thm)],[24834, 3868, 24831])).
% 42.52/28.18 tff(24836,plain,
% 42.52/28.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | v129(constB126, bitIndex0) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | v129(constB126, bitIndex0) | (~v100(constB126)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24837,plain,
% 42.52/28.18 (((~v90(constB126, bitIndex0)) | (~v100(constB126)) | v129(constB126, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | v129(constB126, bitIndex0) | (~v100(constB126)))),
% 42.52/28.18 inference(rewrite,[status(thm)],[])).
% 42.52/28.18 tff(24838,plain,
% 42.52/28.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~v100(constB126)) | v129(constB126, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | v129(constB126, bitIndex0) | (~v100(constB126))))),
% 42.52/28.18 inference(monotonicity,[status(thm)],[24837])).
% 42.52/28.18 tff(24839,plain,
% 42.52/28.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~v100(constB126)) | v129(constB126, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | v129(constB126, bitIndex0) | (~v100(constB126)))),
% 42.52/28.18 inference(transitivity,[status(thm)],[24838, 24836])).
% 42.52/28.18 tff(24840,plain,
% 42.52/28.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~v100(constB126)) | v129(constB126, bitIndex0))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24841,plain,
% 42.52/28.19 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | v129(constB126, bitIndex0) | (~v100(constB126))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24840, 24839])).
% 42.52/28.19 tff(24842,plain,
% 42.52/28.19 (v129(constB126, bitIndex0) | (~v100(constB126))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24841, 952, 24391])).
% 42.52/28.19 tff(24843,plain,
% 42.52/28.19 (v129(constB126, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24842, 24827])).
% 42.52/28.19 tff(24844,plain,
% 42.52/28.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex0) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex0) | (~v129(constB126, bitIndex0)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24845,plain,
% 42.52/28.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex0) | (~v129(constB126, bitIndex0)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24846,plain,
% 42.52/28.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex0) | (~v129(constB126, bitIndex0))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24845, 24844])).
% 42.52/28.19 tff(24847,plain,
% 42.52/28.19 (v127(constB125, bitIndex0) | (~v129(constB126, bitIndex0))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24846, 937, 16469])).
% 42.52/28.19 tff(24848,plain,
% 42.52/28.19 (v127(constB125, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24847, 24843])).
% 42.52/28.19 tff(24849,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB125, bitIndex0)) | v26(constB125) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB125, bitIndex0)) | v26(constB125) | v130(constB125, bitIndex0))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24850,plain,
% 42.52/28.19 ((v26(constB125) | v130(constB125, bitIndex0) | (~v127(constB125, bitIndex0))) <=> ((~v127(constB125, bitIndex0)) | v26(constB125) | v130(constB125, bitIndex0))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24851,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB125) | v130(constB125, bitIndex0) | (~v127(constB125, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB125, bitIndex0)) | v26(constB125) | v130(constB125, bitIndex0)))),
% 42.52/28.19 inference(monotonicity,[status(thm)],[24850])).
% 42.52/28.19 tff(24852,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB125) | v130(constB125, bitIndex0) | (~v127(constB125, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB125, bitIndex0)) | v26(constB125) | v130(constB125, bitIndex0))),
% 42.52/28.19 inference(transitivity,[status(thm)],[24851, 24849])).
% 42.52/28.19 tff(24853,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB125) | v130(constB125, bitIndex0) | (~v127(constB125, bitIndex0)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24854,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB125, bitIndex0)) | v26(constB125) | v130(constB125, bitIndex0)),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24853, 24852])).
% 42.52/28.19 tff(24855,plain,
% 42.52/28.19 ((~v127(constB125, bitIndex0)) | v130(constB125, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24854, 907, 16458])).
% 42.52/28.19 tff(24856,plain,
% 42.52/28.19 (v130(constB125, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24855, 24848])).
% 42.52/28.19 tff(24857,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB125)) | (~v130(constB125, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB125)) | (~v130(constB125, bitIndex0)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24858,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB125)) | (~v130(constB125, bitIndex0)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24859,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB125)) | (~v130(constB125, bitIndex0))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24858, 24857])).
% 42.52/28.19 tff(24860,plain,
% 42.52/28.19 (~v123(constB125)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24859, 1208, 24856])).
% 42.52/28.19 tff(24861,plain,
% 42.52/28.19 (v129(constB126, bitIndex1) | (~v100(constB126))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[16642, 868, 24400])).
% 42.52/28.19 tff(24862,plain,
% 42.52/28.19 (v129(constB126, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24861, 24827])).
% 42.52/28.19 tff(24863,plain,
% 42.52/28.19 (v127(constB125, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[16473, 24862])).
% 42.52/28.19 tff(24864,plain,
% 42.52/28.19 (v130(constB125, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[16465, 24863])).
% 42.52/28.19 tff(24865,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB125)) | (~v130(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB125)) | (~v130(constB125, bitIndex1)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24866,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB125)) | (~v130(constB125, bitIndex1)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24867,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB125)) | (~v130(constB125, bitIndex1))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 42.52/28.19 tff(24868,plain,
% 42.52/28.19 (~v122(constB125)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24867, 2281, 24864])).
% 42.52/28.19 tff(24869,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24870,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24871,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24870, 24869])).
% 42.52/28.19 tff(24872,plain,
% 42.52/28.19 (~v121(constB125)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24871, 1990, 24831])).
% 42.52/28.19 tff(24873,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB125)) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB125)) | (~v130(constB125, bitIndex2)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24874,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB125)) | (~v130(constB125, bitIndex2)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24875,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB125)) | (~v130(constB125, bitIndex2))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24874, 24873])).
% 42.52/28.19 tff(24876,plain,
% 42.52/28.19 (~v120(constB125)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24875, 1732, 24831])).
% 42.52/28.19 tff(24877,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v130(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v130(constB125, bitIndex1)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24878,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v130(constB125, bitIndex1)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24879,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v130(constB125, bitIndex1))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24878, 24877])).
% 42.52/28.19 tff(24880,plain,
% 42.52/28.19 (~v119(constB125)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24879, 809, 24864])).
% 42.52/28.19 tff(24881,plain,
% 42.52/28.19 (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[16674, 1405, 24831])).
% 42.52/28.19 tff(24882,plain,
% 42.52/28.19 ($false),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24881, 24880, 24876, 24872, 24868, 24860, 24835])).
% 42.52/28.19 tff(24883,plain,(v100(constB134) | (~v90(constB132, bitIndex1)) | (~v90(constB134, bitIndex2)) | (~v90(constB134, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.19 tff(24884,plain,
% 42.52/28.19 (v100(constB134)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24883, 24203, 24215, 24071])).
% 42.52/28.19 tff(24885,plain,
% 42.52/28.19 (v129(constB134, bitIndex1) | (~v100(constB134))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24117, 868, 24081])).
% 42.52/28.19 tff(24886,plain,
% 42.52/28.19 (v129(constB134, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24885, 24884])).
% 42.52/28.19 tff(24887,plain,
% 42.52/28.19 (v127(constB133, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24123, 24886])).
% 42.52/28.19 tff(24888,plain,
% 42.52/28.19 (v130(constB133, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24131, 24887])).
% 42.52/28.19 tff(24889,plain,
% 42.52/28.19 (~v120(constB133)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[18773, 1391, 24204])).
% 42.52/28.19 tff(24890,plain,
% 42.52/28.19 (~v119(constB133)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[18769, 1380, 24204])).
% 42.52/28.19 tff(24891,plain,
% 42.52/28.19 (v129(constB134, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24095, 24884])).
% 42.52/28.19 tff(24892,plain,
% 42.52/28.19 (v127(constB133, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[17756, 24891])).
% 42.52/28.19 tff(24893,plain,
% 42.52/28.19 (v130(constB133, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[17751, 24892])).
% 42.52/28.19 tff(24894,plain,
% 42.52/28.19 (~v122(constB133)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24109, 2327, 24893])).
% 42.52/28.19 tff(24895,plain,
% 42.52/28.19 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24896,plain,
% 42.52/28.19 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24897,plain,
% 42.52/28.19 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24896, 24895])).
% 42.52/28.19 tff(24898,plain,
% 42.52/28.19 (v129(constB134, bitIndex2) | (~v100(constB134))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24897, 1452, 24215])).
% 42.52/28.19 tff(24899,plain,
% 42.52/28.19 (v129(constB134, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24898, 24884])).
% 42.52/28.19 tff(24900,plain,
% 42.52/28.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24901,plain,
% 42.52/28.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24902,plain,
% 42.52/28.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24901, 24900])).
% 42.52/28.19 tff(24903,plain,
% 42.52/28.19 (v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24902, 1437, 17572])).
% 42.52/28.19 tff(24904,plain,
% 42.52/28.19 (v127(constB133, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24903, 24899])).
% 42.52/28.19 tff(24905,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24906,plain,
% 42.52/28.19 ((v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2))) <=> ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24907,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)))),
% 42.52/28.19 inference(monotonicity,[status(thm)],[24906])).
% 42.52/28.19 tff(24908,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 42.52/28.19 inference(transitivity,[status(thm)],[24907, 24905])).
% 42.52/28.19 tff(24909,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24910,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24909, 24908])).
% 42.52/28.19 tff(24911,plain,
% 42.52/28.19 ((~v127(constB133, bitIndex2)) | v130(constB133, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24910, 1419, 17557])).
% 42.52/28.19 tff(24912,plain,
% 42.52/28.19 (v130(constB133, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24911, 24904])).
% 42.52/28.19 tff(24913,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB133)) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB133)) | (~v130(constB133, bitIndex2)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24914,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB133)) | (~v130(constB133, bitIndex2)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24915,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB133)) | (~v130(constB133, bitIndex2))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24914, 24913])).
% 42.52/28.19 tff(24916,plain,
% 42.52/28.19 (~v121(constB133)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24915, 1990, 24912])).
% 42.52/28.19 tff(24917,assumption,(~v123(constB133)), introduced(assumption)).
% 42.52/28.19 tff(24918,plain,
% 42.52/28.19 (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v124(constB133) | (~v130(constB133, bitIndex1))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24135, 1494, 24917])).
% 42.52/28.19 tff(24919,plain,
% 42.52/28.19 ($false),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24918, 24916, 24894, 24890, 24889, 24888, 24205])).
% 42.52/28.19 tff(24920,plain,(v100(constB136) | v123(constB133) | (~v90(constB134, bitIndex0)) | (~v90(constB136, bitIndex1)) | (~v90(constB136, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.19 tff(24921,plain,
% 42.52/28.19 (v100(constB136)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24920, 24070, 24069, 24026, 23943])).
% 42.52/28.19 tff(24922,plain,
% 42.52/28.19 (v129(constB136, bitIndex2) | (~v100(constB136))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[18918, 1452, 23943])).
% 42.52/28.19 tff(24923,plain,
% 42.52/28.19 (v129(constB136, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24922, 24921])).
% 42.52/28.19 tff(24924,plain,
% 42.52/28.19 (v127(constB135, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[18924, 24923])).
% 42.52/28.19 tff(24925,plain,
% 42.52/28.19 (v130(constB135, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[18932, 24924])).
% 42.52/28.19 tff(24926,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB135)) | (~v90(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB135)) | (~v90(constB135, bitIndex0)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24927,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB135)) | (~v90(constB135, bitIndex0)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24928,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB135)) | (~v90(constB135, bitIndex0))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24927, 24926])).
% 42.52/28.19 tff(24929,plain,
% 42.52/28.19 (~v123(constB135)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24928, 11057, 24064])).
% 42.52/28.19 tff(24930,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB135)) | (~v90(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB135)) | (~v90(constB135, bitIndex0)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24931,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB135)) | (~v90(constB135, bitIndex0)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24932,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB135)) | (~v90(constB135, bitIndex0))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24931, 24930])).
% 42.52/28.19 tff(24933,plain,
% 42.52/28.19 (~v121(constB135)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24932, 11039, 24064])).
% 42.52/28.19 tff(24934,plain,
% 42.52/28.19 (v129(constB136, bitIndex0) | (~v100(constB136))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[23978, 952, 23934])).
% 42.52/28.19 tff(24935,plain,
% 42.52/28.19 (v129(constB136, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24934, 24921])).
% 42.52/28.19 tff(24936,plain,
% 42.52/28.19 (v127(constB135, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[23970, 24935])).
% 42.52/28.19 tff(24937,plain,
% 42.52/28.19 (v130(constB135, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[23965, 24936])).
% 42.52/28.19 tff(24938,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB135)) | (~v130(constB135, bitIndex0)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24939,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB135)) | (~v130(constB135, bitIndex0)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24940,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB135)) | (~v130(constB135, bitIndex0))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24939, 24938])).
% 42.52/28.19 tff(24941,plain,
% 42.52/28.19 (~v122(constB135)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24940, 2327, 24937])).
% 42.52/28.19 tff(24942,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB135)) | (~v130(constB135, bitIndex2)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24943,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB135)) | (~v130(constB135, bitIndex2)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24944,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB135)) | (~v130(constB135, bitIndex2))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24943, 24942])).
% 42.52/28.19 tff(24945,plain,
% 42.52/28.19 (~v124(constB135)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24944, 3868, 24925])).
% 42.52/28.19 tff(24946,plain,
% 42.52/28.19 (v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[18939, 1405, 24017])).
% 42.52/28.19 tff(24947,plain,
% 42.52/28.19 ($false),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24946, 24945, 24941, 24933, 24929, 24925, 24068])).
% 42.52/28.19 tff(24948,plain,(v100(constB142) | v122(constB139) | v123(constB139) | (~v90(constB142, bitIndex2)) | (~v90(constB142, bitIndex1)) | (~v90(constB142, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.19 tff(24949,plain,
% 42.52/28.19 (v100(constB142)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24948, 23629, 23474, 23203, 23193, 23192])).
% 42.52/28.19 tff(24950,plain,
% 42.52/28.19 (v129(constB142, bitIndex2) | (~v100(constB142))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[23581, 1452, 23203])).
% 42.52/28.19 tff(24951,plain,
% 42.52/28.19 (v129(constB142, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24950, 24949])).
% 42.52/28.19 tff(24952,plain,
% 42.52/28.19 (v127(constB141, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[23556, 24951])).
% 42.52/28.19 tff(24953,plain,
% 42.52/28.19 (v130(constB141, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[23551, 24952])).
% 42.52/28.19 tff(24954,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB141)) | (~v130(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB141)) | (~v130(constB141, bitIndex2)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24955,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB141)) | (~v130(constB141, bitIndex2)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24956,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB141)) | (~v130(constB141, bitIndex2))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24955, 24954])).
% 42.52/28.19 tff(24957,plain,
% 42.52/28.19 (~v121(constB141)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24956, 1990, 24953])).
% 42.52/28.19 tff(24958,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB141)) | (~v130(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB141)) | (~v130(constB141, bitIndex2)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24959,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB141)) | (~v130(constB141, bitIndex2)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24960,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB141)) | (~v130(constB141, bitIndex2))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24959, 24958])).
% 42.52/28.19 tff(24961,plain,
% 42.52/28.19 (~v124(constB141)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24960, 3868, 24953])).
% 42.52/28.19 tff(24962,plain,
% 42.52/28.19 (v129(constB142, bitIndex1) | (~v100(constB142))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19720, 868, 23193])).
% 42.52/28.19 tff(24963,plain,
% 42.52/28.19 (v129(constB142, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24962, 24949])).
% 42.52/28.19 tff(24964,plain,
% 42.52/28.19 (v127(constB141, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19713, 24963])).
% 42.52/28.19 tff(24965,plain,
% 42.52/28.19 (v130(constB141, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19708, 24964])).
% 42.52/28.19 tff(24966,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB141)) | (~v130(constB141, bitIndex1)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24967,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB141)) | (~v130(constB141, bitIndex1)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24968,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB141)) | (~v130(constB141, bitIndex1))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24967, 24966])).
% 42.52/28.19 tff(24969,plain,
% 42.52/28.19 (~v119(constB141)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24968, 809, 24965])).
% 42.52/28.19 tff(24970,plain,
% 42.52/28.19 (v129(constB142, bitIndex0) | (~v100(constB142))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19750, 952, 23192])).
% 42.52/28.19 tff(24971,plain,
% 42.52/28.19 (v129(constB142, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24970, 24949])).
% 42.52/28.19 tff(24972,plain,
% 42.52/28.19 (v127(constB141, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19743, 24971])).
% 42.52/28.19 tff(24973,plain,
% 42.52/28.19 (v130(constB141, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19738, 24972])).
% 42.52/28.19 tff(24974,plain,
% 42.52/28.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB141)) | (~v130(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB141)) | (~v130(constB141, bitIndex0)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(24975,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB141)) | (~v130(constB141, bitIndex0)))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(24976,plain,
% 42.52/28.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB141)) | (~v130(constB141, bitIndex0))),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[24975, 24974])).
% 42.52/28.19 tff(24977,plain,
% 42.52/28.19 (~v120(constB141)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24976, 1826, 24973])).
% 42.52/28.19 tff(24978,assumption,(v122(constB141)), introduced(assumption)).
% 42.52/28.19 tff(24979,plain,
% 42.52/28.19 (~v130(constB141, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19494, 2327, 24978])).
% 42.52/28.19 tff(24980,plain,
% 42.52/28.19 (v115(constB141)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19560, 24979])).
% 42.52/28.19 tff(24981,plain,
% 42.52/28.19 (v114(constB141)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19567, 553, 24980])).
% 42.52/28.19 tff(24982,plain,
% 42.52/28.19 (v113(constB141)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19574, 567, 24981])).
% 42.52/28.19 tff(24983,plain,
% 42.52/28.19 (v108(constB141)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19600, 24982])).
% 42.52/28.19 tff(24984,plain,
% 42.52/28.19 (v110(constB142)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19611, 24983])).
% 42.52/28.19 tff(24985,plain,
% 42.52/28.19 (v100(constB142)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19643, 24984])).
% 42.52/28.19 tff(24986,plain,
% 42.52/28.19 (v130(constB141, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19647, 2224, 24978])).
% 42.52/28.19 tff(24987,plain,
% 42.52/28.19 (v127(constB141, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19656, 24986])).
% 42.52/28.19 tff(24988,plain,
% 42.52/28.19 (v129(constB142, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19661, 24987])).
% 42.52/28.19 tff(24989,plain,
% 42.52/28.19 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19668, 641, 24988])).
% 42.52/28.19 tff(24990,plain,
% 42.52/28.19 (v90(constB142, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24989, 24985])).
% 42.52/28.19 tff(24991,plain,
% 42.52/28.19 (v90(constB143, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19696, 24990])).
% 42.52/28.19 tff(24992,plain,
% 42.52/28.19 (~v130(constB141, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19700, 2281, 24978])).
% 42.52/28.19 tff(24993,plain,
% 42.52/28.19 (~v127(constB141, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19708, 24992])).
% 42.52/28.19 tff(24994,plain,
% 42.52/28.19 (~v129(constB142, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19713, 24993])).
% 42.52/28.19 tff(24995,plain,
% 42.52/28.19 ((~v90(constB142, bitIndex1)) | (~v100(constB142))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19720, 868, 24994])).
% 42.52/28.19 tff(24996,plain,
% 42.52/28.19 (~v90(constB142, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[24995, 24985])).
% 42.52/28.19 tff(24997,plain,
% 42.52/28.19 (~v90(constB143, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19730, 24996])).
% 42.52/28.19 tff(24998,plain,
% 42.52/28.19 (~v127(constB141, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19738, 24979])).
% 42.52/28.19 tff(24999,plain,
% 42.52/28.19 (~v129(constB142, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19743, 24998])).
% 42.52/28.19 tff(25000,plain,
% 42.52/28.19 ((~v90(constB142, bitIndex0)) | (~v100(constB142))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19750, 952, 24999])).
% 42.52/28.19 tff(25001,plain,
% 42.52/28.19 (~v90(constB142, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25000, 24985])).
% 42.52/28.19 tff(25002,plain,
% 42.52/28.19 (~v90(constB143, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19760, 25001])).
% 42.52/28.19 tff(25003,plain,
% 42.52/28.19 (v123(constB143)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19764, 979, 25002, 24997, 24991])).
% 42.52/28.19 tff(25004,plain,
% 42.52/28.19 (v115(constB143)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19768, 990, 25003])).
% 42.52/28.19 tff(25005,plain,
% 42.52/28.19 (v114(constB143)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19775, 553, 25004])).
% 42.52/28.19 tff(25006,plain,
% 42.52/28.19 (v113(constB143)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19782, 567, 25005])).
% 42.52/28.19 tff(25007,plain,
% 42.52/28.19 (v112(constB143)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19794, 25006])).
% 42.52/28.19 tff(25008,plain,
% 42.52/28.19 (v108(constB143)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19801, 746, 25007])).
% 42.52/28.19 tff(25009,plain,
% 42.52/28.19 (v110(constB144)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19812, 25008])).
% 42.52/28.19 tff(25010,plain,
% 42.52/28.19 (v100(constB144)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19844, 25009])).
% 42.52/28.19 tff(25011,plain,
% 42.52/28.19 (v130(constB143, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19949, 1074, 25003])).
% 42.52/28.19 tff(25012,plain,
% 42.52/28.19 (v127(constB143, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19954, 25011])).
% 42.52/28.19 tff(25013,plain,
% 42.52/28.19 (v129(constB144, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19959, 25012])).
% 42.52/28.19 tff(25014,plain,
% 42.52/28.19 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19966, 641, 25013])).
% 42.52/28.19 tff(25015,plain,
% 42.52/28.19 (v90(constB144, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25014, 25010])).
% 42.52/28.19 tff(25016,plain,
% 42.52/28.19 (v90(constB145, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19976, 25015])).
% 42.52/28.19 tff(25017,plain,
% 42.52/28.19 (~v122(constB145)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20341, 1347, 25016])).
% 42.52/28.19 tff(25018,plain,
% 42.52/28.19 (v130(constB143, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19848, 1130, 25003])).
% 42.52/28.19 tff(25019,plain,
% 42.52/28.19 (v127(constB143, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19853, 25018])).
% 42.52/28.19 tff(25020,plain,
% 42.52/28.19 (v129(constB144, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19858, 25019])).
% 42.52/28.19 tff(25021,plain,
% 42.52/28.19 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19865, 1174, 25020])).
% 42.52/28.19 tff(25022,plain,
% 42.52/28.19 (v90(constB144, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25021, 25010])).
% 42.52/28.19 tff(25023,plain,
% 42.52/28.19 (v90(constB145, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19893, 25022])).
% 42.52/28.19 tff(25024,plain,
% 42.52/28.19 (~v124(constB145)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20337, 1369, 25023])).
% 42.52/28.19 tff(25025,plain,
% 42.52/28.19 (~v123(constB145)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20012, 1358, 25023])).
% 42.52/28.19 tff(25026,plain,
% 42.52/28.19 (~v130(constB143, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19909, 1208, 25003])).
% 42.52/28.19 tff(25027,plain,
% 42.52/28.19 (~v127(constB143, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19917, 25026])).
% 42.52/28.19 tff(25028,plain,
% 42.52/28.19 (~v129(constB144, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19922, 25027])).
% 42.52/28.19 tff(25029,plain,
% 42.52/28.19 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19929, 952, 25028])).
% 42.52/28.19 tff(25030,plain,
% 42.52/28.19 (~v90(constB144, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25029, 25010])).
% 42.52/28.19 tff(25031,plain,
% 42.52/28.19 (~v90(constB145, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[19939, 25030])).
% 42.52/28.19 tff(25032,plain,
% 42.52/28.19 (v90(constB146, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20100, 25016, 25023, 25031])).
% 42.52/28.19 tff(25033,plain,
% 42.52/28.19 (v90(constB147, bitIndex0)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20127, 25032])).
% 42.52/28.19 tff(25034,plain,
% 42.52/28.19 (~v119(constB147)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20131, 11028, 25033])).
% 42.52/28.19 tff(25035,plain,
% 42.52/28.19 (~v130(constB145, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20298, 25025, 25002, 25030])).
% 42.52/28.19 tff(25036,plain,
% 42.52/28.19 (~v127(constB145, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20306, 25035])).
% 42.52/28.19 tff(25037,plain,
% 42.52/28.19 (~v129(constB146, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20311, 25036])).
% 42.52/28.19 tff(25038,plain,
% 42.52/28.19 (v100(constB146)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20319, 25032, 25031])).
% 42.52/28.19 tff(25039,plain,
% 42.52/28.19 ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20323, 1452, 25038])).
% 42.52/28.19 tff(25040,plain,
% 42.52/28.19 (~v90(constB146, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25039, 25037])).
% 42.52/28.19 tff(25041,plain,
% 42.52/28.19 (~v90(constB147, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20333, 25040])).
% 42.52/28.19 tff(25042,plain,
% 42.52/28.19 (v90(constB147, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20397, 25041, 20133, 25034])).
% 42.52/28.19 tff(25043,plain,
% 42.52/28.19 (v90(constB146, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20379, 25042])).
% 42.52/28.19 tff(25044,plain,
% 42.52/28.19 ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20369, 868, 25038])).
% 42.52/28.19 tff(25045,plain,
% 42.52/28.19 (v129(constB146, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25044, 25043])).
% 42.52/28.19 tff(25046,plain,
% 42.52/28.19 (v127(constB145, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20362, 25045])).
% 42.52/28.19 tff(25047,plain,
% 42.52/28.19 (v130(constB145, bitIndex1)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20357, 25046])).
% 42.52/28.19 tff(25048,plain,
% 42.52/28.19 (~v121(constB145)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20008, 1336, 25016])).
% 42.52/28.19 tff(25049,plain,
% 42.52/28.19 (~v119(constB145)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20160, 1380, 25023])).
% 42.52/28.19 tff(25050,plain,
% 42.52/28.19 ($false),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[20348, 1494, 25049, 25048, 25047, 25025, 20345, 25024, 25017])).
% 42.52/28.19 tff(25051,plain,((~v122(constB141)) | v120(constB145) | v120(constB147)), inference(lemma,lemma(discharge,[]))).
% 42.52/28.19 tff(25052,plain,
% 42.52/28.19 (~v122(constB141)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25051, 22808, 23238])).
% 42.52/28.19 tff(25053,plain,
% 42.52/28.19 (v119(constB141) | v120(constB141) | v121(constB141) | v124(constB141) | (~v130(constB141, bitIndex1))),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[23613, 1494, 23355, 25052])).
% 42.52/28.19 tff(25054,plain,
% 42.52/28.19 ($false),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25053, 24977, 24969, 24965, 24961, 24957])).
% 42.52/28.19 tff(25055,plain,(v100(constB154) | v122(constB149) | (~v90(constB154, bitIndex1)) | (~v90(constB154, bitIndex0)) | (~v90(constB154, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.52/28.19 tff(25056,plain,
% 42.52/28.19 (~v90(constB154, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25055, 22452, 21852, 21980, 22444])).
% 42.52/28.19 tff(25057,plain,
% 42.52/28.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(25058,plain,
% 42.52/28.19 (((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2)) <=> ((~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(25059,plain,
% 42.52/28.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2)))),
% 42.52/28.19 inference(monotonicity,[status(thm)],[25058])).
% 42.52/28.19 tff(25060,plain,
% 42.52/28.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2))),
% 42.52/28.19 inference(transitivity,[status(thm)],[25059, 25057])).
% 42.52/28.19 tff(25061,plain,
% 42.52/28.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2))),
% 42.52/28.19 inference(quant_inst,[status(thm)],[])).
% 42.52/28.19 tff(25062,plain,
% 42.52/28.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, bitIndex2)),
% 42.52/28.19 inference(modus_ponens,[status(thm)],[25061, 25060])).
% 42.52/28.19 tff(25063,plain,
% 42.52/28.19 ((~v90(constB153, bitIndex2)) | v100(constB154) | v90(constB154, bitIndex2)),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25062, 783, 21846])).
% 42.52/28.19 tff(25064,plain,
% 42.52/28.19 ($false),
% 42.52/28.19 inference(unit_resolution,[status(thm)],[25063, 25056, 22013, 21852])).
% 42.52/28.19 tff(25065,plain,(v100(constB154)), inference(lemma,lemma(discharge,[]))).
% 42.52/28.19 tff(25066,plain,
% 42.52/28.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(25067,plain,
% 42.52/28.19 ((v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 42.52/28.19 inference(rewrite,[status(thm)],[])).
% 42.52/28.19 tff(25068,plain,
% 42.52/28.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))))),
% 42.52/28.20 inference(monotonicity,[status(thm)],[25067])).
% 42.52/28.20 tff(25069,plain,
% 42.52/28.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 42.52/28.20 inference(transitivity,[status(thm)],[25068, 25066])).
% 42.52/28.20 tff(25070,plain,
% 42.52/28.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25071,plain,
% 42.52/28.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25070, 25069])).
% 42.52/28.20 tff(25072,plain,
% 42.52/28.20 (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25071, 641, 25065])).
% 42.52/28.20 tff(25073,plain,
% 42.52/28.20 (v90(constB154, bitIndex2)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25072, 21851])).
% 42.52/28.20 tff(25074,plain,
% 42.52/28.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25075,plain,
% 42.52/28.20 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)) <=> ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25076,plain,
% 42.52/28.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)))),
% 42.52/28.20 inference(monotonicity,[status(thm)],[25075])).
% 42.52/28.20 tff(25077,plain,
% 42.52/28.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 42.52/28.20 inference(transitivity,[status(thm)],[25076, 25074])).
% 42.52/28.20 tff(25078,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25079,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25078, 25077])).
% 42.52/28.20 tff(25080,plain,
% 42.52/28.20 ((~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25079, 783, 22019])).
% 42.52/28.20 tff(25081,plain,
% 42.52/28.20 ((~v90(constB154, bitIndex2)) | v90(constB155, bitIndex2)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25080, 22031])).
% 42.52/28.20 tff(25082,plain,
% 42.52/28.20 (v90(constB155, bitIndex2)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25081, 25073])).
% 42.52/28.20 tff(25083,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB155)) | (~v90(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB155)) | (~v90(constB155, bitIndex2)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25084,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB155)) | (~v90(constB155, bitIndex2)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25085,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB155)) | (~v90(constB155, bitIndex2))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25084, 25083])).
% 42.52/28.20 tff(25086,plain,
% 42.52/28.20 (~v121(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25085, 1336, 25082])).
% 42.52/28.20 tff(25087,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB153)) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB153)) | v130(constB153, bitIndex1))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25088,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB153)) | v130(constB153, bitIndex1))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25089,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB153)) | v130(constB153, bitIndex1)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25088, 25087])).
% 42.52/28.20 tff(25090,plain,
% 42.52/28.20 (v130(constB153, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25089, 1130, 21830])).
% 42.52/28.20 tff(25091,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25092,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25093,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25092, 25091])).
% 42.52/28.20 tff(25094,plain,
% 42.52/28.20 ((~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25093, 1144, 21838])).
% 42.52/28.20 tff(25095,plain,
% 42.52/28.20 (v127(constB153, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25094, 25090])).
% 42.52/28.20 tff(25096,plain,
% 42.52/28.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25097,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25098,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25097, 25096])).
% 42.52/28.20 tff(25099,plain,
% 42.52/28.20 ((~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25098, 1159, 21846])).
% 42.52/28.20 tff(25100,plain,
% 42.52/28.20 (v129(constB154, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25099, 25095])).
% 42.52/28.20 tff(25101,plain,
% 42.52/28.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25102,plain,
% 42.52/28.20 ((v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25103,plain,
% 42.52/28.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154))))),
% 42.52/28.20 inference(monotonicity,[status(thm)],[25102])).
% 42.52/28.20 tff(25104,plain,
% 42.52/28.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 42.52/28.20 inference(transitivity,[status(thm)],[25103, 25101])).
% 42.52/28.20 tff(25105,plain,
% 42.52/28.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25106,plain,
% 42.52/28.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25105, 25104])).
% 42.52/28.20 tff(25107,plain,
% 42.52/28.20 (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1))),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25106, 1174, 25065])).
% 42.52/28.20 tff(25108,plain,
% 42.52/28.20 (v90(constB154, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25107, 25100])).
% 42.52/28.20 tff(25109,plain,
% 42.52/28.20 (v90(constB155, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[22039, 25108])).
% 42.52/28.20 tff(25110,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB155)) | (~v90(constB155, bitIndex1)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25111,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB155)) | (~v90(constB155, bitIndex1)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25112,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB155)) | (~v90(constB155, bitIndex1))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25111, 25110])).
% 42.52/28.20 tff(25113,plain,
% 42.52/28.20 (~v124(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25112, 1369, 25109])).
% 42.52/28.20 tff(25114,assumption,(v123(constB153)), introduced(assumption)).
% 42.52/28.20 tff(25115,plain,
% 42.52/28.20 (v115(constB153)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21958, 990, 25114])).
% 42.52/28.20 tff(25116,plain,
% 42.52/28.20 (v114(constB153)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21920, 553, 25115])).
% 42.52/28.20 tff(25117,plain,
% 42.52/28.20 (v113(constB153)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21913, 567, 25116])).
% 42.52/28.20 tff(25118,plain,
% 42.52/28.20 (v112(constB153)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21906, 25117])).
% 42.52/28.20 tff(25119,plain,
% 42.52/28.20 (v108(constB153)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21898, 746, 25118])).
% 42.52/28.20 tff(25120,plain,
% 42.52/28.20 (v110(constB154)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21891, 25119])).
% 42.52/28.20 tff(25121,plain,
% 42.52/28.20 (v100(constB154)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21883, 25120])).
% 42.52/28.20 tff(25122,plain,
% 42.52/28.20 (v130(constB153, bitIndex2)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21833, 1074, 25114])).
% 42.52/28.20 tff(25123,plain,
% 42.52/28.20 (v127(constB153, bitIndex2)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21842, 25122])).
% 42.52/28.20 tff(25124,plain,
% 42.52/28.20 (v129(constB154, bitIndex2)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[21850, 25123])).
% 42.52/28.20 tff(25125,plain,
% 42.52/28.20 (v90(constB154, bitIndex2) | (~v100(constB154))),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25071, 641, 25124])).
% 42.52/28.20 tff(25126,plain,
% 42.52/28.20 (v90(constB154, bitIndex2)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25125, 25121])).
% 42.52/28.20 tff(25127,plain,
% 42.52/28.20 (v90(constB155, bitIndex2)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25081, 25126])).
% 42.52/28.20 tff(25128,plain,
% 42.52/28.20 (v130(constB153, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25089, 1130, 25114])).
% 42.52/28.20 tff(25129,plain,
% 42.52/28.20 (v127(constB153, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25094, 25128])).
% 42.52/28.20 tff(25130,plain,
% 42.52/28.20 (v129(constB154, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25099, 25129])).
% 42.52/28.20 tff(25131,plain,
% 42.52/28.20 (v90(constB154, bitIndex1) | (~v100(constB154))),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25106, 1174, 25130])).
% 42.52/28.20 tff(25132,plain,
% 42.52/28.20 (v90(constB154, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25131, 25121])).
% 42.52/28.20 tff(25133,plain,
% 42.52/28.20 (v90(constB155, bitIndex1)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[22039, 25132])).
% 42.52/28.20 tff(25134,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB153)) | (~v130(constB153, bitIndex0)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25135,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex0)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25136,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB153)) | (~v130(constB153, bitIndex0))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25135, 25134])).
% 42.52/28.20 tff(25137,plain,
% 42.52/28.20 (~v130(constB153, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25136, 1208, 25114])).
% 42.52/28.20 tff(25138,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25139,plain,
% 42.52/28.20 ((v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0))) <=> ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25140,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0)))),
% 42.52/28.20 inference(monotonicity,[status(thm)],[25139])).
% 42.52/28.20 tff(25141,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 42.52/28.20 inference(transitivity,[status(thm)],[25140, 25138])).
% 42.52/28.20 tff(25142,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25143,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25142, 25141])).
% 42.52/28.20 tff(25144,plain,
% 42.52/28.20 ((~v127(constB153, bitIndex0)) | v130(constB153, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25143, 907, 21838])).
% 42.52/28.20 tff(25145,plain,
% 42.52/28.20 (~v127(constB153, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25144, 25137])).
% 42.52/28.20 tff(25146,plain,
% 42.52/28.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25147,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25148,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25147, 25146])).
% 42.52/28.20 tff(25149,plain,
% 42.52/28.20 (v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0))),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25148, 937, 21846])).
% 42.52/28.20 tff(25150,plain,
% 42.52/28.20 (~v129(constB154, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25149, 25145])).
% 42.52/28.20 tff(25151,plain,
% 42.52/28.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25152,plain,
% 42.52/28.20 (((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25153,plain,
% 42.52/28.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154))))),
% 42.52/28.20 inference(monotonicity,[status(thm)],[25152])).
% 42.52/28.20 tff(25154,plain,
% 42.52/28.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 42.52/28.20 inference(transitivity,[status(thm)],[25153, 25151])).
% 42.52/28.20 tff(25155,plain,
% 42.52/28.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25156,plain,
% 42.52/28.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25155, 25154])).
% 42.52/28.20 tff(25157,plain,
% 42.52/28.20 ((~v90(constB154, bitIndex0)) | (~v100(constB154))),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25156, 952, 25150])).
% 42.52/28.20 tff(25158,plain,
% 42.52/28.20 (~v90(constB154, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25157, 25121])).
% 42.52/28.20 tff(25159,plain,
% 42.52/28.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25160,plain,
% 42.52/28.20 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25161,plain,
% 42.52/28.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0))))),
% 42.52/28.20 inference(monotonicity,[status(thm)],[25160])).
% 42.52/28.20 tff(25162,plain,
% 42.52/28.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 42.52/28.20 inference(transitivity,[status(thm)],[25161, 25159])).
% 42.52/28.20 tff(25163,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25164,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25163, 25162])).
% 42.52/28.20 tff(25165,plain,
% 42.52/28.20 (v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25164, 465, 22019])).
% 42.52/28.20 tff(25166,plain,
% 42.52/28.20 (v90(constB154, bitIndex0) | (~v90(constB155, bitIndex0))),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25165, 22031])).
% 42.52/28.20 tff(25167,plain,
% 42.52/28.20 (~v90(constB155, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25166, 25158])).
% 42.52/28.20 tff(25168,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25169,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25170,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25169, 25168])).
% 42.52/28.20 tff(25171,plain,
% 42.52/28.20 (v125(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25170, 1252, 25167, 25133, 25127])).
% 42.52/28.20 tff(25172,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB155)) | v113(constB155))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25173,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB155)) | v113(constB155))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25174,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB155)) | v113(constB155)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25173, 25172])).
% 42.52/28.20 tff(25175,plain,
% 42.52/28.20 (v113(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25174, 1263, 25171])).
% 42.52/28.20 tff(25176,assumption,(v26(constB155)), introduced(assumption)).
% 42.52/28.20 tff(25177,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25178,plain,
% 42.52/28.20 ($false),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25177, 95, 25176])).
% 42.52/28.20 tff(25179,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 42.52/28.20 tff(25180,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25181,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25182,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25181, 25180])).
% 42.52/28.20 tff(25183,plain,
% 42.52/28.20 ((~v113(constB155)) | v112(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25182, 581, 25179])).
% 42.52/28.20 tff(25184,plain,
% 42.52/28.20 (v112(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25183, 25175])).
% 42.52/28.20 tff(25185,plain,
% 42.52/28.20 (~v121(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25085, 1336, 25127])).
% 42.52/28.20 tff(25186,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB155)) | (~v90(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB155)) | (~v90(constB155, bitIndex2)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25187,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB155)) | (~v90(constB155, bitIndex2)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25188,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB155)) | (~v90(constB155, bitIndex2))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25187, 25186])).
% 42.52/28.20 tff(25189,plain,
% 42.52/28.20 (~v122(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25188, 1347, 25127])).
% 42.52/28.20 tff(25190,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB155)) | (~v90(constB155, bitIndex1)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25191,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB155)) | (~v90(constB155, bitIndex1)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25192,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB155)) | (~v90(constB155, bitIndex1))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25191, 25190])).
% 42.52/28.20 tff(25193,plain,
% 42.52/28.20 (~v119(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25192, 1380, 25133])).
% 42.52/28.20 tff(25194,plain,
% 42.52/28.20 (~v124(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25112, 1369, 25133])).
% 42.52/28.20 tff(25195,plain,
% 42.52/28.20 (~v120(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[22043, 1391, 25133])).
% 42.52/28.20 tff(25196,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB155)) | (~v90(constB155, bitIndex1)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25197,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB155)) | (~v90(constB155, bitIndex1)))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25198,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB155)) | (~v90(constB155, bitIndex1))),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25197, 25196])).
% 42.52/28.20 tff(25199,plain,
% 42.52/28.20 (~v123(constB155)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25198, 1358, 25133])).
% 42.52/28.20 tff(25200,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25201,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25202,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25201, 25200])).
% 42.52/28.20 tff(25203,plain,
% 42.52/28.20 (v130(constB155, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25202, 1538, 25199, 25195, 25194, 25193, 25189, 25185])).
% 42.52/28.20 tff(25204,plain,
% 42.52/28.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25205,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25206,plain,
% 42.52/28.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25205, 25204])).
% 42.52/28.20 tff(25207,plain,
% 42.52/28.20 ((~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25206, 1552, 25179])).
% 42.52/28.20 tff(25208,plain,
% 42.52/28.20 (v127(constB155, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25207, 25203])).
% 42.52/28.20 tff(25209,plain,
% 42.52/28.20 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25210,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 42.52/28.20 tff(25211,plain,
% 42.52/28.20 (nextState(constB155, constB156)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25210, 25209])).
% 42.52/28.20 tff(25212,plain,
% 42.52/28.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25213,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))),
% 42.52/28.20 inference(quant_inst,[status(thm)],[])).
% 42.52/28.20 tff(25214,plain,
% 42.52/28.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0)),
% 42.52/28.20 inference(modus_ponens,[status(thm)],[25213, 25212])).
% 42.52/28.20 tff(25215,plain,
% 42.52/28.20 ((~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25214, 1567, 25211])).
% 42.52/28.20 tff(25216,plain,
% 42.52/28.20 (v129(constB156, bitIndex0)),
% 42.52/28.20 inference(unit_resolution,[status(thm)],[25215, 25208])).
% 42.52/28.20 tff(25217,assumption,(~v90(constB156, bitIndex0)), introduced(assumption)).
% 42.52/28.20 tff(25218,plain,
% 42.52/28.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25219,plain,
% 42.52/28.20 ((v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 42.52/28.20 inference(rewrite,[status(thm)],[])).
% 42.52/28.20 tff(25220,plain,
% 42.52/28.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156))))),
% 42.52/28.20 inference(monotonicity,[status(thm)],[25219])).
% 42.52/28.21 tff(25221,plain,
% 42.52/28.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 42.52/28.21 inference(transitivity,[status(thm)],[25220, 25218])).
% 42.52/28.21 tff(25222,plain,
% 42.52/28.21 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))),
% 42.52/28.21 inference(quant_inst,[status(thm)],[])).
% 42.52/28.21 tff(25223,plain,
% 42.52/28.21 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156))),
% 42.52/28.21 inference(modus_ponens,[status(thm)],[25222, 25221])).
% 42.52/28.21 tff(25224,plain,
% 42.52/28.21 ((~v129(constB156, bitIndex0)) | (~v100(constB156))),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25223, 1582, 25217])).
% 42.52/28.21 tff(25225,plain,
% 42.52/28.21 (~v100(constB156)),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25224, 25216])).
% 42.52/28.21 tff(25226,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25227,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 42.52/28.21 inference(quant_inst,[status(thm)],[])).
% 42.52/28.21 tff(25228,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 42.52/28.21 inference(modus_ponens,[status(thm)],[25227, 25226])).
% 42.52/28.21 tff(25229,plain,
% 42.52/28.21 (~v104(constB156)),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25228, 659, 25211, 22016])).
% 42.52/28.21 tff(25230,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25231,plain,
% 42.52/28.21 (((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)) <=> ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25232,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156)))),
% 42.52/28.21 inference(monotonicity,[status(thm)],[25231])).
% 42.52/28.21 tff(25233,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 42.52/28.21 inference(transitivity,[status(thm)],[25232, 25230])).
% 42.52/28.21 tff(25234,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 42.52/28.21 inference(quant_inst,[status(thm)],[])).
% 42.52/28.21 tff(25235,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156)),
% 42.52/28.21 inference(modus_ponens,[status(thm)],[25234, 25233])).
% 42.52/28.21 tff(25236,plain,
% 42.52/28.21 (v104(constB156) | v102(constB156)),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25235, 673, 25211])).
% 42.52/28.21 tff(25237,plain,
% 42.52/28.21 (v102(constB156)),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25236, 25229])).
% 42.52/28.21 tff(25238,plain,
% 42.52/28.21 (v1(constB156) <=> v1(constB156)),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25239,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 42.52/28.21 tff(25240,plain,
% 42.52/28.21 (v1(constB156)),
% 42.52/28.21 inference(modus_ponens,[status(thm)],[25239, 25238])).
% 42.52/28.21 tff(25241,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25242,plain,
% 42.52/28.21 (((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))) <=> ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25243,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156))))),
% 42.52/28.21 inference(monotonicity,[status(thm)],[25242])).
% 42.52/28.21 tff(25244,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 42.52/28.21 inference(transitivity,[status(thm)],[25243, 25241])).
% 42.52/28.21 tff(25245,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 42.52/28.21 inference(quant_inst,[status(thm)],[])).
% 42.52/28.21 tff(25246,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156))),
% 42.52/28.21 inference(modus_ponens,[status(thm)],[25245, 25244])).
% 42.52/28.21 tff(25247,plain,
% 42.52/28.21 (v101(constB156) | (~v102(constB156))),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25246, 694, 25211, 25240])).
% 42.52/28.21 tff(25248,plain,
% 42.52/28.21 (v101(constB156)),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25247, 25237])).
% 42.52/28.21 tff(25249,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25250,plain,
% 42.52/28.21 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25251,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 42.52/28.21 inference(monotonicity,[status(thm)],[25250])).
% 42.52/28.21 tff(25252,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 42.52/28.21 inference(transitivity,[status(thm)],[25251, 25249])).
% 42.52/28.21 tff(25253,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 42.52/28.21 inference(quant_inst,[status(thm)],[])).
% 42.52/28.21 tff(25254,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 42.52/28.21 inference(modus_ponens,[status(thm)],[25253, 25252])).
% 42.52/28.21 tff(25255,plain,
% 42.52/28.21 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25254, 712, 25211])).
% 42.52/28.21 tff(25256,plain,
% 42.52/28.21 (v100(constB156) | (~v110(constB156))),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25255, 25248])).
% 42.52/28.21 tff(25257,plain,
% 42.52/28.21 (~v110(constB156)),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25256, 25225])).
% 42.52/28.21 tff(25258,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25259,plain,
% 42.52/28.21 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.52/28.21 tff(25260,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 42.52/28.21 inference(monotonicity,[status(thm)],[25259])).
% 42.52/28.21 tff(25261,plain,
% 42.52/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 42.52/28.21 inference(transitivity,[status(thm)],[25260, 25258])).
% 42.52/28.21 tff(25262,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 42.52/28.21 inference(quant_inst,[status(thm)],[])).
% 42.52/28.21 tff(25263,plain,
% 42.52/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 42.52/28.21 inference(modus_ponens,[status(thm)],[25262, 25261])).
% 42.52/28.21 tff(25264,plain,
% 42.52/28.21 (v110(constB156) | (~v108(constB155))),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25263, 731, 25211])).
% 42.52/28.21 tff(25265,plain,
% 42.52/28.21 (~v108(constB155)),
% 42.52/28.21 inference(unit_resolution,[status(thm)],[25264, 25257])).
% 42.52/28.21 tff(25266,plain,
% 42.52/28.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 42.52/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25267,plain,
% 42.61/28.21 (((~v112(constB155)) | v108(constB155)) <=> (v108(constB155) | (~v112(constB155)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25268,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155))))),
% 42.61/28.21 inference(monotonicity,[status(thm)],[25267])).
% 42.61/28.21 tff(25269,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 42.61/28.21 inference(transitivity,[status(thm)],[25268, 25266])).
% 42.61/28.21 tff(25270,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25271,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25270, 25269])).
% 42.61/28.21 tff(25272,plain,
% 42.61/28.21 ($false),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25271, 746, 25265, 25184])).
% 42.61/28.21 tff(25273,plain,((~v123(constB153)) | v90(constB156, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.21 tff(25274,plain,
% 42.61/28.21 (v90(constB156, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25273, 21830])).
% 42.61/28.21 tff(25275,plain,
% 42.61/28.21 (~v130(constB153, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25136, 1208, 21830])).
% 42.61/28.21 tff(25276,plain,
% 42.61/28.21 (~v127(constB153, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25144, 25275])).
% 42.61/28.21 tff(25277,plain,
% 42.61/28.21 (~v129(constB154, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25149, 25276])).
% 42.61/28.21 tff(25278,plain,
% 42.61/28.21 ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25156, 952, 25065])).
% 42.61/28.21 tff(25279,plain,
% 42.61/28.21 (~v90(constB154, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25278, 25277])).
% 42.61/28.21 tff(25280,plain,
% 42.61/28.21 (~v90(constB155, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25166, 25279])).
% 42.61/28.21 tff(25281,plain,
% 42.61/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB155, bitIndex0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB155, bitIndex0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex0)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25282,plain,
% 42.61/28.21 (((~nextState(constB155, constB156)) | v90(constB155, bitIndex0) | v100(constB156) | (~v90(constB156, bitIndex0))) <=> (v90(constB155, bitIndex0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex0)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25283,plain,
% 42.61/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v90(constB155, bitIndex0) | v100(constB156) | (~v90(constB156, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB155, bitIndex0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex0))))),
% 42.61/28.21 inference(monotonicity,[status(thm)],[25282])).
% 42.61/28.21 tff(25284,plain,
% 42.61/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v90(constB155, bitIndex0) | v100(constB156) | (~v90(constB156, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB155, bitIndex0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex0)))),
% 42.61/28.21 inference(transitivity,[status(thm)],[25283, 25281])).
% 42.61/28.21 tff(25285,plain,
% 42.61/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v90(constB155, bitIndex0) | v100(constB156) | (~v90(constB156, bitIndex0)))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25286,plain,
% 42.61/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB155, bitIndex0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex0))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25285, 25284])).
% 42.61/28.21 tff(25287,plain,
% 42.61/28.21 (v90(constB155, bitIndex0) | v100(constB156) | (~v90(constB156, bitIndex0))),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25286, 465, 25211])).
% 42.61/28.21 tff(25288,plain,
% 42.61/28.21 (v100(constB156)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25287, 25280, 25274])).
% 42.61/28.21 tff(25289,plain,
% 42.61/28.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25290,plain,
% 42.61/28.21 (((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25291,plain,
% 42.61/28.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))))),
% 42.61/28.21 inference(monotonicity,[status(thm)],[25290])).
% 42.61/28.21 tff(25292,plain,
% 42.61/28.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 42.61/28.21 inference(transitivity,[status(thm)],[25291, 25289])).
% 42.61/28.21 tff(25293,plain,
% 42.61/28.21 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25294,plain,
% 42.61/28.21 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25293, 25292])).
% 42.61/28.21 tff(25295,plain,
% 42.61/28.21 (v129(constB156, bitIndex0) | (~v100(constB156))),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25294, 952, 25274])).
% 42.61/28.21 tff(25296,plain,
% 42.61/28.21 (v129(constB156, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25295, 25288])).
% 42.61/28.21 tff(25297,plain,
% 42.61/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25298,plain,
% 42.61/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25299,plain,
% 42.61/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25298, 25297])).
% 42.61/28.21 tff(25300,plain,
% 42.61/28.21 (v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25299, 937, 25211])).
% 42.61/28.21 tff(25301,plain,
% 42.61/28.21 (v127(constB155, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25300, 25296])).
% 42.61/28.21 tff(25302,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25303,plain,
% 42.61/28.21 ((v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0))) <=> ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25304,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)))),
% 42.61/28.21 inference(monotonicity,[status(thm)],[25303])).
% 42.61/28.21 tff(25305,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 42.61/28.21 inference(transitivity,[status(thm)],[25304, 25302])).
% 42.61/28.21 tff(25306,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25307,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25306, 25305])).
% 42.61/28.21 tff(25308,plain,
% 42.61/28.21 ((~v127(constB155, bitIndex0)) | v130(constB155, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25307, 907, 25179])).
% 42.61/28.21 tff(25309,plain,
% 42.61/28.21 (v130(constB155, bitIndex0)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25308, 25301])).
% 42.61/28.21 tff(25310,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB155)) | (~v130(constB155, bitIndex0)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25311,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB155)) | (~v130(constB155, bitIndex0)))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25312,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB155)) | (~v130(constB155, bitIndex0))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 42.61/28.21 tff(25313,plain,
% 42.61/28.21 (~v119(constB155)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25312, 893, 25309])).
% 42.61/28.21 tff(25314,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB155)) | (~v130(constB155, bitIndex0)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25315,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB155)) | (~v130(constB155, bitIndex0)))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25316,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB155)) | (~v130(constB155, bitIndex0))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25315, 25314])).
% 42.61/28.21 tff(25317,plain,
% 42.61/28.21 (~v122(constB155)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25316, 2327, 25309])).
% 42.61/28.21 tff(25318,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB155)) | (~v130(constB155, bitIndex0)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25319,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB155)) | (~v130(constB155, bitIndex0)))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25320,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB155)) | (~v130(constB155, bitIndex0))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25319, 25318])).
% 42.61/28.21 tff(25321,plain,
% 42.61/28.21 (~v120(constB155)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25320, 1826, 25309])).
% 42.61/28.21 tff(25322,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v125(constB156)) | (~v90(constB156, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v125(constB156)) | (~v90(constB156, bitIndex0)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25323,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v125(constB156)) | (~v90(constB156, bitIndex0)))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25324,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v125(constB156)) | (~v90(constB156, bitIndex0))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25323, 25322])).
% 42.61/28.21 tff(25325,plain,
% 42.61/28.21 (~v125(constB156)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25324, 24242, 25274])).
% 42.61/28.21 tff(25326,assumption,(v123(constB155)), introduced(assumption)).
% 42.61/28.21 tff(25327,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB155) | (~v123(constB155)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB155) | (~v123(constB155)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25328,plain,
% 42.61/28.21 (((~v123(constB155)) | v115(constB155)) <=> (v115(constB155) | (~v123(constB155)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25329,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB155)) | v115(constB155))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB155) | (~v123(constB155))))),
% 42.61/28.21 inference(monotonicity,[status(thm)],[25328])).
% 42.61/28.21 tff(25330,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB155)) | v115(constB155))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB155) | (~v123(constB155)))),
% 42.61/28.21 inference(transitivity,[status(thm)],[25329, 25327])).
% 42.61/28.21 tff(25331,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB155)) | v115(constB155))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25332,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB155) | (~v123(constB155))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25331, 25330])).
% 42.61/28.21 tff(25333,plain,
% 42.61/28.21 (v115(constB155)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25332, 990, 25326])).
% 42.61/28.21 tff(25334,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v115(constB155)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v115(constB155)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25335,plain,
% 42.61/28.21 (((~v115(constB155)) | v114(constB155)) <=> (v114(constB155) | (~v115(constB155)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25336,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v115(constB155))))),
% 42.61/28.21 inference(monotonicity,[status(thm)],[25335])).
% 42.61/28.21 tff(25337,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v115(constB155)))),
% 42.61/28.21 inference(transitivity,[status(thm)],[25336, 25334])).
% 42.61/28.21 tff(25338,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB155)) | v114(constB155))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25339,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v115(constB155))),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25338, 25337])).
% 42.61/28.21 tff(25340,plain,
% 42.61/28.21 (v114(constB155)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25339, 553, 25333])).
% 42.61/28.21 tff(25341,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB155)) | v113(constB155))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25342,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25343,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB155)) | v113(constB155)),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25342, 25341])).
% 42.61/28.21 tff(25344,plain,
% 42.61/28.21 (v113(constB155)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25343, 567, 25340])).
% 42.61/28.21 tff(25345,plain,
% 42.61/28.21 (v112(constB155)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25183, 25344])).
% 42.61/28.21 tff(25346,plain,
% 42.61/28.21 (v108(constB155)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25271, 746, 25345])).
% 42.61/28.21 tff(25347,plain,
% 42.61/28.21 (v110(constB156)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25264, 25346])).
% 42.61/28.21 tff(25348,plain,
% 42.61/28.21 (v100(constB156)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25256, 25347])).
% 42.61/28.21 tff(25349,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB155)) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB155)) | v130(constB155, bitIndex2))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25350,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB155)) | v130(constB155, bitIndex2))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25351,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB155)) | v130(constB155, bitIndex2)),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25350, 25349])).
% 42.61/28.21 tff(25352,plain,
% 42.61/28.21 (v130(constB155, bitIndex2)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25351, 1074, 25326])).
% 42.61/28.21 tff(25353,plain,
% 42.61/28.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25354,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25355,plain,
% 42.61/28.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25354, 25353])).
% 42.61/28.21 tff(25356,plain,
% 42.61/28.21 ((~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25355, 607, 25179])).
% 42.61/28.21 tff(25357,plain,
% 42.61/28.21 (v127(constB155, bitIndex2)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25356, 25352])).
% 42.61/28.21 tff(25358,plain,
% 42.61/28.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25359,plain,
% 42.61/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 42.61/28.21 inference(quant_inst,[status(thm)],[])).
% 42.61/28.21 tff(25360,plain,
% 42.61/28.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 42.61/28.21 inference(modus_ponens,[status(thm)],[25359, 25358])).
% 42.61/28.21 tff(25361,plain,
% 42.61/28.21 ((~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25360, 625, 25211])).
% 42.61/28.21 tff(25362,plain,
% 42.61/28.21 (v129(constB156, bitIndex2)),
% 42.61/28.21 inference(unit_resolution,[status(thm)],[25361, 25357])).
% 42.61/28.21 tff(25363,plain,
% 42.61/28.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25364,plain,
% 42.61/28.21 ((v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 42.61/28.21 inference(rewrite,[status(thm)],[])).
% 42.61/28.21 tff(25365,plain,
% 42.61/28.21 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))))),
% 42.61/28.22 inference(monotonicity,[status(thm)],[25364])).
% 42.61/28.22 tff(25366,plain,
% 42.61/28.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 42.61/28.22 inference(transitivity,[status(thm)],[25365, 25363])).
% 42.61/28.22 tff(25367,plain,
% 42.61/28.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25368,plain,
% 42.61/28.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25367, 25366])).
% 42.61/28.22 tff(25369,plain,
% 42.61/28.22 (v90(constB156, bitIndex2) | (~v100(constB156))),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25368, 641, 25362])).
% 42.61/28.22 tff(25370,plain,
% 42.61/28.22 (v90(constB156, bitIndex2)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25369, 25348])).
% 42.61/28.22 tff(25371,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB155)) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB155)) | v130(constB155, bitIndex1))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25372,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB155)) | v130(constB155, bitIndex1))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25373,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB155)) | v130(constB155, bitIndex1)),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 42.61/28.22 tff(25374,plain,
% 42.61/28.22 (v130(constB155, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25373, 1130, 25326])).
% 42.61/28.22 tff(25375,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25376,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25377,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25376, 25375])).
% 42.61/28.22 tff(25378,plain,
% 42.61/28.22 ((~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25377, 1144, 25179])).
% 42.61/28.22 tff(25379,plain,
% 42.61/28.22 (v127(constB155, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25378, 25374])).
% 42.61/28.22 tff(25380,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25381,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25382,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25381, 25380])).
% 42.61/28.22 tff(25383,plain,
% 42.61/28.22 ((~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25382, 1159, 25211])).
% 42.61/28.22 tff(25384,plain,
% 42.61/28.22 (v129(constB156, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25383, 25379])).
% 42.61/28.22 tff(25385,plain,
% 42.61/28.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25386,plain,
% 42.61/28.22 ((v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25387,plain,
% 42.61/28.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))))),
% 42.61/28.22 inference(monotonicity,[status(thm)],[25386])).
% 42.61/28.22 tff(25388,plain,
% 42.61/28.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 42.61/28.22 inference(transitivity,[status(thm)],[25387, 25385])).
% 42.61/28.22 tff(25389,plain,
% 42.61/28.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25390,plain,
% 42.61/28.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 42.61/28.22 tff(25391,plain,
% 42.61/28.22 (v90(constB156, bitIndex1) | (~v100(constB156))),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25390, 1174, 25384])).
% 42.61/28.22 tff(25392,plain,
% 42.61/28.22 (v90(constB156, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25391, 25348])).
% 42.61/28.22 tff(25393,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB155)) | (~v130(constB155, bitIndex0)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25394,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB155)) | (~v130(constB155, bitIndex0)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25395,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB155)) | (~v130(constB155, bitIndex0))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25394, 25393])).
% 42.61/28.22 tff(25396,plain,
% 42.61/28.22 (~v130(constB155, bitIndex0)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25395, 1208, 25326])).
% 42.61/28.22 tff(25397,plain,
% 42.61/28.22 (~v127(constB155, bitIndex0)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25308, 25396])).
% 42.61/28.22 tff(25398,plain,
% 42.61/28.22 (~v129(constB156, bitIndex0)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25300, 25397])).
% 42.61/28.22 tff(25399,plain,
% 42.61/28.22 ((~v90(constB156, bitIndex0)) | (~v100(constB156))),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25294, 952, 25398])).
% 42.61/28.22 tff(25400,plain,
% 42.61/28.22 (~v90(constB156, bitIndex0)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25399, 25348])).
% 42.61/28.22 tff(25401,assumption,(~v125(constB156)), introduced(assumption)).
% 42.61/28.22 tff(25402,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB156, bitIndex0) | (~v90(constB156, bitIndex1)) | (~v90(constB156, bitIndex2)) | v125(constB156))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB156, bitIndex0) | (~v90(constB156, bitIndex1)) | (~v90(constB156, bitIndex2)) | v125(constB156))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25403,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB156, bitIndex0) | (~v90(constB156, bitIndex1)) | (~v90(constB156, bitIndex2)) | v125(constB156))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25404,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB156, bitIndex0) | (~v90(constB156, bitIndex1)) | (~v90(constB156, bitIndex2)) | v125(constB156)),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25403, 25402])).
% 42.61/28.22 tff(25405,plain,
% 42.61/28.22 (v90(constB156, bitIndex0) | (~v90(constB156, bitIndex1)) | (~v90(constB156, bitIndex2))),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25404, 1252, 25401])).
% 42.61/28.22 tff(25406,plain,
% 42.61/28.22 ($false),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25405, 25400, 25392, 25370])).
% 42.61/28.22 tff(25407,plain,((~v123(constB155)) | v125(constB156)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.22 tff(25408,plain,
% 42.61/28.22 (~v123(constB155)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25407, 25325])).
% 42.61/28.22 tff(25409,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25410,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25411,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25410, 25409])).
% 42.61/28.22 tff(25412,plain,
% 42.61/28.22 (~v130(constB155, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25411, 1494, 25408, 25321, 25317, 25313, 25113, 25086])).
% 42.61/28.22 tff(25413,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25414,plain,
% 42.61/28.22 ((v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1))) <=> ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25415,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1)))),
% 42.61/28.22 inference(monotonicity,[status(thm)],[25414])).
% 42.61/28.22 tff(25416,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 42.61/28.22 inference(transitivity,[status(thm)],[25415, 25413])).
% 42.61/28.22 tff(25417,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25418,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1)),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25417, 25416])).
% 42.61/28.22 tff(25419,plain,
% 42.61/28.22 ((~v127(constB155, bitIndex1)) | v130(constB155, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25418, 823, 25179])).
% 42.61/28.22 tff(25420,plain,
% 42.61/28.22 (~v127(constB155, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25419, 25412])).
% 42.61/28.22 tff(25421,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25422,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25423,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25422, 25421])).
% 42.61/28.22 tff(25424,plain,
% 42.61/28.22 (v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1))),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25423, 853, 25211])).
% 42.61/28.22 tff(25425,plain,
% 42.61/28.22 (~v129(constB156, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25424, 25420])).
% 42.61/28.22 tff(25426,plain,
% 42.61/28.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25427,plain,
% 42.61/28.22 (((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25428,plain,
% 42.61/28.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156))))),
% 42.61/28.22 inference(monotonicity,[status(thm)],[25427])).
% 42.61/28.22 tff(25429,plain,
% 42.61/28.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 42.61/28.22 inference(transitivity,[status(thm)],[25428, 25426])).
% 42.61/28.22 tff(25430,plain,
% 42.61/28.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25431,plain,
% 42.61/28.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25430, 25429])).
% 42.61/28.22 tff(25432,plain,
% 42.61/28.22 ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25431, 868, 25288])).
% 42.61/28.22 tff(25433,plain,
% 42.61/28.22 (~v90(constB156, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25432, 25425])).
% 42.61/28.22 tff(25434,plain,
% 42.61/28.22 ((~v1(constB157)) <=> (~v1(constB157))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25435,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 42.61/28.22 tff(25436,plain,
% 42.61/28.22 (~v1(constB157)),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25435, 25434])).
% 42.61/28.22 tff(25437,plain,
% 42.61/28.22 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25438,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 42.61/28.22 tff(25439,plain,
% 42.61/28.22 (nextState(constB156, constB157)),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25438, 25437])).
% 42.61/28.22 tff(25440,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25441,plain,
% 42.61/28.22 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25442,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 42.61/28.22 inference(monotonicity,[status(thm)],[25441])).
% 42.61/28.22 tff(25443,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 42.61/28.22 inference(transitivity,[status(thm)],[25442, 25440])).
% 42.61/28.22 tff(25444,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25445,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25444, 25443])).
% 42.61/28.22 tff(25446,plain,
% 42.61/28.22 (~v101(constB157)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25445, 391, 25439, 25436])).
% 42.61/28.22 tff(25447,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25448,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25449,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25448, 25447])).
% 42.61/28.22 tff(25450,plain,
% 42.61/28.22 (v101(constB157) | (~v100(constB157))),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25449, 408, 25439])).
% 42.61/28.22 tff(25451,plain,
% 42.61/28.22 (~v100(constB157)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25450, 25446])).
% 42.61/28.22 tff(25452,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25453,plain,
% 42.61/28.22 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25454,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1))))),
% 42.61/28.22 inference(monotonicity,[status(thm)],[25453])).
% 42.61/28.22 tff(25455,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 42.61/28.22 inference(transitivity,[status(thm)],[25454, 25452])).
% 42.61/28.22 tff(25456,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25457,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25456, 25455])).
% 42.61/28.22 tff(25458,plain,
% 42.61/28.22 (v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1))),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25457, 444, 25439])).
% 42.61/28.22 tff(25459,plain,
% 42.61/28.22 (v90(constB156, bitIndex1) | (~v90(constB157, bitIndex1))),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25458, 25451])).
% 42.61/28.22 tff(25460,plain,
% 42.61/28.22 (~v90(constB157, bitIndex1)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25459, 25433])).
% 42.61/28.22 tff(25461,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25462,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25463,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25462, 25461])).
% 42.61/28.22 tff(25464,plain,
% 42.61/28.22 (~v130(constB155, bitIndex2)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25463, 1405, 25408, 25321, 25317, 25313, 25113, 25086])).
% 42.61/28.22 tff(25465,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25466,plain,
% 42.61/28.22 ((v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2))) <=> ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25467,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2)))),
% 42.61/28.22 inference(monotonicity,[status(thm)],[25466])).
% 42.61/28.22 tff(25468,plain,
% 42.61/28.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 42.61/28.22 inference(transitivity,[status(thm)],[25467, 25465])).
% 42.61/28.22 tff(25469,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25470,plain,
% 42.61/28.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2)),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25469, 25468])).
% 42.61/28.22 tff(25471,plain,
% 42.61/28.22 ((~v127(constB155, bitIndex2)) | v130(constB155, bitIndex2)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25470, 1419, 25179])).
% 42.61/28.22 tff(25472,plain,
% 42.61/28.22 (~v127(constB155, bitIndex2)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25471, 25464])).
% 42.61/28.22 tff(25473,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25474,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25475,plain,
% 42.61/28.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25474, 25473])).
% 42.61/28.22 tff(25476,plain,
% 42.61/28.22 (v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2))),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25475, 1437, 25211])).
% 42.61/28.22 tff(25477,plain,
% 42.61/28.22 (~v129(constB156, bitIndex2)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25476, 25472])).
% 42.61/28.22 tff(25478,plain,
% 42.61/28.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25479,plain,
% 42.61/28.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))),
% 42.61/28.22 inference(quant_inst,[status(thm)],[])).
% 42.61/28.22 tff(25480,plain,
% 42.61/28.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156))),
% 42.61/28.22 inference(modus_ponens,[status(thm)],[25479, 25478])).
% 42.61/28.22 tff(25481,plain,
% 42.61/28.22 ((~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25480, 1452, 25288])).
% 42.61/28.22 tff(25482,plain,
% 42.61/28.22 (~v90(constB156, bitIndex2)),
% 42.61/28.22 inference(unit_resolution,[status(thm)],[25481, 25477])).
% 42.61/28.22 tff(25483,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25484,plain,
% 42.61/28.22 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 42.61/28.22 inference(rewrite,[status(thm)],[])).
% 42.61/28.22 tff(25485,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2))))),
% 42.61/28.22 inference(monotonicity,[status(thm)],[25484])).
% 42.61/28.22 tff(25486,plain,
% 42.61/28.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25485, 25483])).
% 42.61/28.23 tff(25487,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25488,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25487, 25486])).
% 42.61/28.23 tff(25489,plain,
% 42.61/28.23 (v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2))),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25488, 423, 25439])).
% 42.61/28.23 tff(25490,plain,
% 42.61/28.23 (v90(constB156, bitIndex2) | (~v90(constB157, bitIndex2))),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25489, 25451])).
% 42.61/28.23 tff(25491,plain,
% 42.61/28.23 (~v90(constB157, bitIndex2)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25490, 25482])).
% 42.61/28.23 tff(25492,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25493,plain,
% 42.61/28.23 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25494,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0)))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25493])).
% 42.61/28.23 tff(25495,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25494, 25492])).
% 42.61/28.23 tff(25496,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25497,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 42.61/28.23 tff(25498,plain,
% 42.61/28.23 ((~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25497, 1600, 25439])).
% 42.61/28.23 tff(25499,plain,
% 42.61/28.23 ((~v90(constB156, bitIndex0)) | v90(constB157, bitIndex0)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25498, 25451])).
% 42.61/28.23 tff(25500,plain,
% 42.61/28.23 (v90(constB157, bitIndex0)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25499, 25274])).
% 42.61/28.23 tff(25501,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25502,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25503,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25502, 25501])).
% 42.61/28.23 tff(25504,plain,
% 42.61/28.23 (v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25503, 1619, 25500])).
% 42.61/28.23 tff(25505,plain,
% 42.61/28.23 (v120(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25504, 25491, 25460])).
% 42.61/28.23 tff(25506,assumption,(v120(constB157)), introduced(assumption)).
% 42.61/28.23 tff(25507,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB157)) | (~v130(constB157, bitIndex0)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25508,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex0)))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25509,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB157)) | (~v130(constB157, bitIndex0))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25508, 25507])).
% 42.61/28.23 tff(25510,plain,
% 42.61/28.23 (~v130(constB157, bitIndex0)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25509, 1826, 25506])).
% 42.61/28.23 tff(25511,assumption,(v127(constB157, bitIndex0)), introduced(assumption)).
% 42.61/28.23 tff(25512,assumption,(~v130(constB157, bitIndex0)), introduced(assumption)).
% 42.61/28.23 tff(25513,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25514,plain,
% 42.61/28.23 ((v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0))) <=> ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25515,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0)))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25514])).
% 42.61/28.23 tff(25516,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25515, 25513])).
% 42.61/28.23 tff(25517,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25518,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25517, 25516])).
% 42.61/28.23 tff(25519,plain,
% 42.61/28.23 ((~v127(constB157, bitIndex0)) | v26(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25518, 907, 25512])).
% 42.61/28.23 tff(25520,plain,
% 42.61/28.23 (v26(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25519, 25511])).
% 42.61/28.23 tff(25521,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB157)) | (~v127(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB157)) | (~v127(constB157, bitIndex0)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25522,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB157)) | (~v127(constB157, bitIndex0)))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25523,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB157)) | (~v127(constB157, bitIndex0))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25522, 25521])).
% 42.61/28.23 tff(25524,plain,
% 42.61/28.23 ($false),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25523, 922, 25511, 25520])).
% 42.61/28.23 tff(25525,plain,((~v127(constB157, bitIndex0)) | v130(constB157, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.23 tff(25526,plain,
% 42.61/28.23 (~v127(constB157, bitIndex0)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25525, 25510])).
% 42.61/28.23 tff(25527,plain,
% 42.61/28.23 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25528,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 42.61/28.23 tff(25529,plain,
% 42.61/28.23 (nextState(constB157, constB158)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25528, 25527])).
% 42.61/28.23 tff(25530,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25531,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25532,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25531, 25530])).
% 42.61/28.23 tff(25533,plain,
% 42.61/28.23 (v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25532, 937, 25529])).
% 42.61/28.23 tff(25534,plain,
% 42.61/28.23 (~v129(constB158, bitIndex0)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25533, 25526])).
% 42.61/28.23 tff(25535,assumption,(v90(constB158, bitIndex0)), introduced(assumption)).
% 42.61/28.23 tff(25536,plain,
% 42.61/28.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25537,plain,
% 42.61/28.23 (((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25538,plain,
% 42.61/28.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158))))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25537])).
% 42.61/28.23 tff(25539,plain,
% 42.61/28.23 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25538, 25536])).
% 42.61/28.23 tff(25540,plain,
% 42.61/28.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25541,plain,
% 42.61/28.23 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25540, 25539])).
% 42.61/28.23 tff(25542,plain,
% 42.61/28.23 (v129(constB158, bitIndex0) | (~v100(constB158))),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25541, 952, 25535])).
% 42.61/28.23 tff(25543,plain,
% 42.61/28.23 (~v100(constB158)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25542, 25534])).
% 42.61/28.23 tff(25544,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25545,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25546,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25545, 25544])).
% 42.61/28.23 tff(25547,plain,
% 42.61/28.23 (~v104(constB158)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25546, 659, 25529, 25436])).
% 42.61/28.23 tff(25548,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25549,plain,
% 42.61/28.23 (((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)) <=> ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25550,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158)))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25549])).
% 42.61/28.23 tff(25551,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25550, 25548])).
% 42.61/28.23 tff(25552,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25553,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25552, 25551])).
% 42.61/28.23 tff(25554,plain,
% 42.61/28.23 (v104(constB158) | v102(constB158)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25553, 673, 25529])).
% 42.61/28.23 tff(25555,plain,
% 42.61/28.23 (v102(constB158)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25554, 25547])).
% 42.61/28.23 tff(25556,plain,
% 42.61/28.23 (v1(constB158) <=> v1(constB158)),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25557,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 42.61/28.23 tff(25558,plain,
% 42.61/28.23 (v1(constB158)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25557, 25556])).
% 42.61/28.23 tff(25559,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25560,plain,
% 42.61/28.23 (((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))) <=> ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25561,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158))))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25560])).
% 42.61/28.23 tff(25562,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25561, 25559])).
% 42.61/28.23 tff(25563,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25564,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25563, 25562])).
% 42.61/28.23 tff(25565,plain,
% 42.61/28.23 (v101(constB158) | (~v102(constB158))),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25564, 694, 25529, 25558])).
% 42.61/28.23 tff(25566,plain,
% 42.61/28.23 (v101(constB158)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25565, 25555])).
% 42.61/28.23 tff(25567,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25568,plain,
% 42.61/28.23 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25569,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25568])).
% 42.61/28.23 tff(25570,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25569, 25567])).
% 42.61/28.23 tff(25571,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25572,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25571, 25570])).
% 42.61/28.23 tff(25573,plain,
% 42.61/28.23 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25572, 712, 25529])).
% 42.61/28.23 tff(25574,plain,
% 42.61/28.23 (v100(constB158) | (~v110(constB158))),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25573, 25566])).
% 42.61/28.23 tff(25575,plain,
% 42.61/28.23 (~v110(constB158)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25574, 25543])).
% 42.61/28.23 tff(25576,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25577,plain,
% 42.61/28.23 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25578,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25577])).
% 42.61/28.23 tff(25579,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25578, 25576])).
% 42.61/28.23 tff(25580,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25581,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25580, 25579])).
% 42.61/28.23 tff(25582,plain,
% 42.61/28.23 (v110(constB158) | (~v108(constB157))),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25581, 731, 25529])).
% 42.61/28.23 tff(25583,plain,
% 42.61/28.23 (~v108(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25582, 25575])).
% 42.61/28.23 tff(25584,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25585,plain,
% 42.61/28.23 (((~v112(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v112(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25586,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157))))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25585])).
% 42.61/28.23 tff(25587,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25586, 25584])).
% 42.61/28.23 tff(25588,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25589,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25588, 25587])).
% 42.61/28.23 tff(25590,plain,
% 42.61/28.23 (~v112(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25589, 746, 25583])).
% 42.61/28.23 tff(25591,assumption,(v26(constB157)), introduced(assumption)).
% 42.61/28.23 tff(25592,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25593,plain,
% 42.61/28.23 ($false),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25592, 95, 25591])).
% 42.61/28.23 tff(25594,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.23 tff(25595,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25596,plain,
% 42.61/28.23 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25597,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157))))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25596])).
% 42.61/28.23 tff(25598,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25597, 25595])).
% 42.61/28.23 tff(25599,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25600,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25599, 25598])).
% 42.61/28.23 tff(25601,plain,
% 42.61/28.23 (v112(constB157) | (~v113(constB157))),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25600, 581, 25594])).
% 42.61/28.23 tff(25602,plain,
% 42.61/28.23 (~v113(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25601, 25590])).
% 42.61/28.23 tff(25603,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB157)) | v113(constB157))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25604,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB157)) | v113(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25605,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB157)) | v113(constB157)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25604, 25603])).
% 42.61/28.23 tff(25606,plain,
% 42.61/28.23 (~v114(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25605, 567, 25602])).
% 42.61/28.23 tff(25607,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB157)) | v114(constB157))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB157)) | v114(constB157))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25608,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB157)) | v114(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25609,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB157)) | v114(constB157)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25608, 25607])).
% 42.61/28.23 tff(25610,plain,
% 42.61/28.23 (~v115(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25609, 553, 25606])).
% 42.61/28.23 tff(25611,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB157)) | v118(constB157))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB157)) | v118(constB157))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25612,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB157)) | v118(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25613,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB157)) | v118(constB157)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25612, 25611])).
% 42.61/28.23 tff(25614,plain,
% 42.61/28.23 (v118(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25613, 1630, 25506])).
% 42.61/28.23 tff(25615,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB157)) | v117(constB157))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB157)) | v117(constB157))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25616,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB157)) | v117(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25617,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB157)) | v117(constB157)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25616, 25615])).
% 42.61/28.23 tff(25618,plain,
% 42.61/28.23 (v117(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25617, 511, 25614])).
% 42.61/28.23 tff(25619,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB157) | (~v117(constB157)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB157) | (~v117(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25620,plain,
% 42.61/28.23 (((~v117(constB157)) | v116(constB157)) <=> (v116(constB157) | (~v117(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25621,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB157)) | v116(constB157))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB157) | (~v117(constB157))))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25620])).
% 42.61/28.23 tff(25622,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB157)) | v116(constB157))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB157) | (~v117(constB157)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25621, 25619])).
% 42.61/28.23 tff(25623,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB157)) | v116(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25624,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB157) | (~v117(constB157))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25623, 25622])).
% 42.61/28.23 tff(25625,plain,
% 42.61/28.23 (v116(constB157)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25624, 525, 25618])).
% 42.61/28.23 tff(25626,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB157) | (~v116(constB157)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v116(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25627,plain,
% 42.61/28.23 (((~v116(constB157)) | v115(constB157)) <=> (v115(constB157) | (~v116(constB157)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25628,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB157)) | v115(constB157))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB157) | (~v116(constB157))))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25627])).
% 42.61/28.23 tff(25629,plain,
% 42.61/28.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB157)) | v115(constB157))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v116(constB157)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25628, 25626])).
% 42.61/28.23 tff(25630,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB157)) | v115(constB157))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25631,plain,
% 42.61/28.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v116(constB157))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25630, 25629])).
% 42.61/28.23 tff(25632,plain,
% 42.61/28.23 ($false),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25631, 539, 25625, 25610])).
% 42.61/28.23 tff(25633,plain,((~v120(constB157)) | (~v90(constB158, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.61/28.23 tff(25634,plain,
% 42.61/28.23 (~v90(constB158, bitIndex0)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25633, 25505])).
% 42.61/28.23 tff(25635,plain,
% 42.61/28.23 ((~v1(constB159)) <=> (~v1(constB159))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25636,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 42.61/28.23 tff(25637,plain,
% 42.61/28.23 (~v1(constB159)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25636, 25635])).
% 42.61/28.23 tff(25638,plain,
% 42.61/28.23 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25639,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 42.61/28.23 tff(25640,plain,
% 42.61/28.23 (nextState(constB158, constB159)),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25639, 25638])).
% 42.61/28.23 tff(25641,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25642,plain,
% 42.61/28.23 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 42.61/28.23 inference(rewrite,[status(thm)],[])).
% 42.61/28.23 tff(25643,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 42.61/28.23 inference(monotonicity,[status(thm)],[25642])).
% 42.61/28.23 tff(25644,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 42.61/28.23 inference(transitivity,[status(thm)],[25643, 25641])).
% 42.61/28.23 tff(25645,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 42.61/28.23 inference(quant_inst,[status(thm)],[])).
% 42.61/28.23 tff(25646,plain,
% 42.61/28.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 42.61/28.23 inference(modus_ponens,[status(thm)],[25645, 25644])).
% 42.61/28.23 tff(25647,plain,
% 42.61/28.23 (~v101(constB159)),
% 42.61/28.23 inference(unit_resolution,[status(thm)],[25646, 391, 25640, 25637])).
% 42.61/28.23 tff(25648,plain,
% 42.61/28.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25649,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25650,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25649, 25648])).
% 42.61/28.24 tff(25651,plain,
% 42.61/28.24 (v101(constB159) | (~v100(constB159))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25650, 408, 25640])).
% 42.61/28.24 tff(25652,plain,
% 42.61/28.24 (~v100(constB159)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25651, 25647])).
% 42.61/28.24 tff(25653,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25654,plain,
% 42.61/28.24 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25655,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0))))),
% 42.61/28.24 inference(monotonicity,[status(thm)],[25654])).
% 42.61/28.24 tff(25656,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 42.61/28.24 inference(transitivity,[status(thm)],[25655, 25653])).
% 42.61/28.24 tff(25657,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25658,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0))),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 42.61/28.24 tff(25659,plain,
% 42.61/28.24 (v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25658, 465, 25640])).
% 42.61/28.24 tff(25660,plain,
% 42.61/28.24 (v90(constB158, bitIndex0) | (~v90(constB159, bitIndex0))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25659, 25652])).
% 42.61/28.24 tff(25661,plain,
% 42.61/28.24 (~v90(constB159, bitIndex0)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25660, 25634])).
% 42.61/28.24 tff(25662,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB159)) | v90(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB159)) | v90(constB159, bitIndex0))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25663,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB159)) | v90(constB159, bitIndex0))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25664,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB159)) | v90(constB159, bitIndex0)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25663, 25662])).
% 42.61/28.24 tff(25665,plain,
% 42.61/28.24 (~v122(constB159)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25664, 4538, 25661])).
% 42.61/28.24 tff(25666,plain,
% 42.61/28.24 (v108(constB155)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25271, 746, 25184])).
% 42.61/28.24 tff(25667,plain,
% 42.61/28.24 (v110(constB156)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25264, 25666])).
% 42.61/28.24 tff(25668,plain,
% 42.61/28.24 (v100(constB156)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25256, 25667])).
% 42.61/28.24 tff(25669,plain,
% 42.61/28.24 (~v130(constB155, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25463, 1405, 25199, 25194, 25195, 25193, 25189, 25185])).
% 42.61/28.24 tff(25670,plain,
% 42.61/28.24 (~v127(constB155, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25471, 25669])).
% 42.61/28.24 tff(25671,plain,
% 42.61/28.24 (~v129(constB156, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25476, 25670])).
% 42.61/28.24 tff(25672,plain,
% 42.61/28.24 ((~v90(constB156, bitIndex2)) | (~v100(constB156))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25480, 1452, 25671])).
% 42.61/28.24 tff(25673,plain,
% 42.61/28.24 (~v90(constB156, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25672, 25668])).
% 42.61/28.24 tff(25674,plain,
% 42.61/28.24 (~v90(constB157, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25490, 25673])).
% 42.61/28.24 tff(25675,plain,
% 42.61/28.24 (~v130(constB155, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25411, 1494, 25199, 25194, 25195, 25193, 25189, 25185])).
% 42.61/28.24 tff(25676,plain,
% 42.61/28.24 (~v127(constB155, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25419, 25675])).
% 42.61/28.24 tff(25677,plain,
% 42.61/28.24 (~v129(constB156, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25424, 25676])).
% 42.61/28.24 tff(25678,plain,
% 42.61/28.24 ((~v90(constB156, bitIndex1)) | (~v100(constB156))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25431, 868, 25677])).
% 42.61/28.24 tff(25679,plain,
% 42.61/28.24 (~v90(constB156, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25678, 25668])).
% 42.61/28.24 tff(25680,plain,
% 42.61/28.24 (~v90(constB157, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25459, 25679])).
% 42.61/28.24 tff(25681,plain,
% 42.61/28.24 (v130(constB155, bitIndex0)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25202, 1538, 25199, 25194, 25195, 25193, 25189, 25185])).
% 42.61/28.24 tff(25682,plain,
% 42.61/28.24 (v127(constB155, bitIndex0)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25207, 25681])).
% 42.61/28.24 tff(25683,plain,
% 42.61/28.24 (v129(constB156, bitIndex0)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25215, 25682])).
% 42.61/28.24 tff(25684,plain,
% 42.61/28.24 (v90(constB156, bitIndex0) | (~v100(constB156))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25223, 1582, 25683])).
% 42.61/28.24 tff(25685,plain,
% 42.61/28.24 (v90(constB156, bitIndex0)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25684, 25668])).
% 42.61/28.24 tff(25686,plain,
% 42.61/28.24 (v90(constB157, bitIndex0)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25499, 25685])).
% 42.61/28.24 tff(25687,plain,
% 42.61/28.24 (v120(constB157)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25503, 1619, 25686, 25680, 25674])).
% 42.61/28.24 tff(25688,assumption,(~v90(constB158, bitIndex0)), introduced(assumption)).
% 42.61/28.24 tff(25689,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB157, bitIndex0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB157, bitIndex0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, bitIndex0))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25690,plain,
% 42.61/28.24 (((~nextState(constB157, constB158)) | (~v90(constB157, bitIndex0)) | v100(constB158) | v90(constB158, bitIndex0)) <=> ((~v90(constB157, bitIndex0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, bitIndex0))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25691,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v90(constB157, bitIndex0)) | v100(constB158) | v90(constB158, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB157, bitIndex0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, bitIndex0)))),
% 42.61/28.24 inference(monotonicity,[status(thm)],[25690])).
% 42.61/28.24 tff(25692,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v90(constB157, bitIndex0)) | v100(constB158) | v90(constB158, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB157, bitIndex0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, bitIndex0))),
% 42.61/28.24 inference(transitivity,[status(thm)],[25691, 25689])).
% 42.61/28.24 tff(25693,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v90(constB157, bitIndex0)) | v100(constB158) | v90(constB158, bitIndex0))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25694,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB157, bitIndex0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, bitIndex0)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25693, 25692])).
% 42.61/28.24 tff(25695,plain,
% 42.61/28.24 ((~v90(constB157, bitIndex0)) | v100(constB158) | v90(constB158, bitIndex0)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25694, 1600, 25529])).
% 42.61/28.24 tff(25696,plain,
% 42.61/28.24 (v100(constB158)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25695, 25686, 25688])).
% 42.61/28.24 tff(25697,assumption,(v90(constB158, bitIndex2)), introduced(assumption)).
% 42.61/28.24 tff(25698,plain,
% 42.61/28.24 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25699,plain,
% 42.61/28.24 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25700,plain,
% 42.61/28.24 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25699, 25698])).
% 42.61/28.24 tff(25701,plain,
% 42.61/28.24 (v129(constB158, bitIndex2) | (~v100(constB158))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25700, 1452, 25697])).
% 42.61/28.24 tff(25702,plain,
% 42.61/28.24 (v129(constB158, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25701, 25696])).
% 42.61/28.24 tff(25703,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25704,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25705,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25704, 25703])).
% 42.61/28.24 tff(25706,plain,
% 42.61/28.24 (v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25705, 1437, 25529])).
% 42.61/28.24 tff(25707,plain,
% 42.61/28.24 (v127(constB157, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25706, 25702])).
% 42.61/28.24 tff(25708,assumption,(~v26(constB157)), introduced(assumption)).
% 42.61/28.24 tff(25709,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25710,plain,
% 42.61/28.24 ((v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2))) <=> ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25711,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)))),
% 42.61/28.24 inference(monotonicity,[status(thm)],[25710])).
% 42.61/28.24 tff(25712,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 42.61/28.24 inference(transitivity,[status(thm)],[25711, 25709])).
% 42.61/28.24 tff(25713,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25714,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25713, 25712])).
% 42.61/28.24 tff(25715,plain,
% 42.61/28.24 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25714, 1419, 25708])).
% 42.61/28.24 tff(25716,plain,
% 42.61/28.24 (v130(constB157, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25715, 25707])).
% 42.61/28.24 tff(25717,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB157)) | (~v130(constB157, bitIndex2)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25718,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex2)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25719,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB157)) | (~v130(constB157, bitIndex2))),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25718, 25717])).
% 42.61/28.24 tff(25720,plain,
% 42.61/28.24 ($false),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25719, 1732, 25716, 25687])).
% 42.61/28.24 tff(25721,plain,((~v123(constB153)) | v26(constB157) | (~v90(constB158, bitIndex2)) | v90(constB158, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.24 tff(25722,plain,
% 42.61/28.24 ((~v123(constB153)) | (~v90(constB158, bitIndex2)) | v90(constB158, bitIndex0)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25721, 25594])).
% 42.61/28.24 tff(25723,plain,
% 42.61/28.24 (~v90(constB158, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25722, 25634, 21830])).
% 42.61/28.24 tff(25724,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25725,plain,
% 42.61/28.24 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))) <=> (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25726,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))))),
% 42.61/28.24 inference(monotonicity,[status(thm)],[25725])).
% 42.61/28.24 tff(25727,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 42.61/28.24 inference(transitivity,[status(thm)],[25726, 25724])).
% 42.61/28.24 tff(25728,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25729,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25728, 25727])).
% 42.61/28.24 tff(25730,plain,
% 42.61/28.24 (v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25729, 423, 25640])).
% 42.61/28.24 tff(25731,plain,
% 42.61/28.24 (v90(constB158, bitIndex2) | (~v90(constB159, bitIndex2))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25730, 25652])).
% 42.61/28.24 tff(25732,plain,
% 42.61/28.24 (~v90(constB159, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25731, 25723])).
% 42.61/28.24 tff(25733,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB157)) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB157)) | v130(constB157, bitIndex1))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25734,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB157)) | v130(constB157, bitIndex1))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25735,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB157)) | v130(constB157, bitIndex1)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25734, 25733])).
% 42.61/28.24 tff(25736,plain,
% 42.61/28.24 (v130(constB157, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25735, 1788, 25505])).
% 42.61/28.24 tff(25737,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25738,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25739,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25738, 25737])).
% 42.61/28.24 tff(25740,plain,
% 42.61/28.24 ((~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25739, 1144, 25594])).
% 42.61/28.24 tff(25741,plain,
% 42.61/28.24 (v127(constB157, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25740, 25736])).
% 42.61/28.24 tff(25742,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25743,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25744,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25743, 25742])).
% 42.61/28.24 tff(25745,plain,
% 42.61/28.24 ((~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25744, 1159, 25529])).
% 42.61/28.24 tff(25746,plain,
% 42.61/28.24 (v129(constB158, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25745, 25741])).
% 42.61/28.24 tff(25747,plain,
% 42.61/28.24 (v100(constB158)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25695, 25634, 25500])).
% 42.61/28.24 tff(25748,plain,
% 42.61/28.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25749,plain,
% 42.61/28.24 ((v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25750,plain,
% 42.61/28.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158))))),
% 42.61/28.24 inference(monotonicity,[status(thm)],[25749])).
% 42.61/28.24 tff(25751,plain,
% 42.61/28.24 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 42.61/28.24 inference(transitivity,[status(thm)],[25750, 25748])).
% 42.61/28.24 tff(25752,plain,
% 42.61/28.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25753,plain,
% 42.61/28.24 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158))),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25752, 25751])).
% 42.61/28.24 tff(25754,plain,
% 42.61/28.24 (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1))),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25753, 1174, 25747])).
% 42.61/28.24 tff(25755,plain,
% 42.61/28.24 (v90(constB158, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25754, 25746])).
% 42.61/28.24 tff(25756,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25757,plain,
% 42.61/28.24 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25758,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1)))),
% 42.61/28.24 inference(monotonicity,[status(thm)],[25757])).
% 42.61/28.24 tff(25759,plain,
% 42.61/28.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 42.61/28.24 inference(transitivity,[status(thm)],[25758, 25756])).
% 42.61/28.24 tff(25760,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25761,plain,
% 42.61/28.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25760, 25759])).
% 42.61/28.24 tff(25762,plain,
% 42.61/28.24 ((~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25761, 1192, 25640])).
% 42.61/28.24 tff(25763,plain,
% 42.61/28.24 ((~v90(constB158, bitIndex1)) | v90(constB159, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25762, 25652])).
% 42.61/28.24 tff(25764,plain,
% 42.61/28.24 (v90(constB159, bitIndex1)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25763, 25755])).
% 42.61/28.24 tff(25765,assumption,(v90(constB159, bitIndex1)), introduced(assumption)).
% 42.61/28.24 tff(25766,assumption,(~v90(constB159, bitIndex2)), introduced(assumption)).
% 42.61/28.24 tff(25767,assumption,(~v122(constB159)), introduced(assumption)).
% 42.61/28.24 tff(25768,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB159, bitIndex0)) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v122(constB159))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB159, bitIndex0)) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v122(constB159))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25769,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB159, bitIndex0)) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v122(constB159))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25770,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB159, bitIndex0)) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v122(constB159)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25769, 25768])).
% 42.61/28.24 tff(25771,plain,
% 42.61/28.24 ((~v90(constB159, bitIndex0)) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25770, 2129, 25767])).
% 42.61/28.24 tff(25772,plain,
% 42.61/28.24 (~v90(constB159, bitIndex0)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25771, 25766, 25765])).
% 42.61/28.24 tff(25773,assumption,(~v121(constB159)), introduced(assumption)).
% 42.61/28.24 tff(25774,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25775,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25776,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25775, 25774])).
% 42.61/28.24 tff(25777,plain,
% 42.61/28.24 (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25776, 1870, 25773])).
% 42.61/28.24 tff(25778,plain,
% 42.61/28.24 ($false),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25777, 25772, 25766, 25765])).
% 42.61/28.24 tff(25779,plain,(v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)) | v121(constB159) | v122(constB159)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.24 tff(25780,plain,
% 42.61/28.24 (v121(constB159)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25779, 25764, 25732, 25665])).
% 42.61/28.24 tff(25781,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25782,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25783,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2))),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25782, 25781])).
% 42.61/28.24 tff(25784,plain,
% 42.61/28.24 (~v130(constB159, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25783, 1990, 25780])).
% 42.61/28.24 tff(25785,assumption,(v26(constB159)), introduced(assumption)).
% 42.61/28.24 tff(25786,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25787,plain,
% 42.61/28.24 ($false),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25786, 95, 25785])).
% 42.61/28.24 tff(25788,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.24 tff(25789,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25790,plain,
% 42.61/28.24 ((v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2))) <=> ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 42.61/28.24 inference(rewrite,[status(thm)],[])).
% 42.61/28.24 tff(25791,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)))),
% 42.61/28.24 inference(monotonicity,[status(thm)],[25790])).
% 42.61/28.24 tff(25792,plain,
% 42.61/28.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 42.61/28.24 inference(transitivity,[status(thm)],[25791, 25789])).
% 42.61/28.24 tff(25793,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))),
% 42.61/28.24 inference(quant_inst,[status(thm)],[])).
% 42.61/28.24 tff(25794,plain,
% 42.61/28.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)),
% 42.61/28.24 inference(modus_ponens,[status(thm)],[25793, 25792])).
% 42.61/28.24 tff(25795,plain,
% 42.61/28.24 ((~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25794, 1419, 25788])).
% 42.61/28.24 tff(25796,plain,
% 42.61/28.24 (~v127(constB159, bitIndex2)),
% 42.61/28.24 inference(unit_resolution,[status(thm)],[25795, 25784])).
% 42.61/28.24 tff(25797,plain,
% 42.61/28.24 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25798,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 42.61/28.25 tff(25799,plain,
% 42.61/28.25 (nextState(constB159, constB160)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25798, 25797])).
% 42.61/28.25 tff(25800,plain,
% 42.61/28.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25801,plain,
% 42.61/28.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25802,plain,
% 42.61/28.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25801, 25800])).
% 42.61/28.25 tff(25803,plain,
% 42.61/28.25 (v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25802, 1437, 25799])).
% 42.61/28.25 tff(25804,plain,
% 42.61/28.25 (~v129(constB160, bitIndex2)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25803, 25796])).
% 42.61/28.25 tff(25805,assumption,(~v113(constB159)), introduced(assumption)).
% 42.61/28.25 tff(25806,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25807,plain,
% 42.61/28.25 (((~v114(constB159)) | v113(constB159)) <=> (v113(constB159) | (~v114(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25808,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159))))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25807])).
% 42.61/28.25 tff(25809,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25808, 25806])).
% 42.61/28.25 tff(25810,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25811,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25810, 25809])).
% 42.61/28.25 tff(25812,plain,
% 42.61/28.25 (~v114(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25811, 567, 25805])).
% 42.61/28.25 tff(25813,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB159)) | v114(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25814,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25815,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB159)) | v114(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25814, 25813])).
% 42.61/28.25 tff(25816,plain,
% 42.61/28.25 (~v124(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25815, 15276, 25812])).
% 42.61/28.25 tff(25817,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25818,plain,
% 42.61/28.25 (((~v115(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v115(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25819,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159))))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25818])).
% 42.61/28.25 tff(25820,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25819, 25817])).
% 42.61/28.25 tff(25821,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25822,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25821, 25820])).
% 42.61/28.25 tff(25823,plain,
% 42.61/28.25 (~v115(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25822, 553, 25812])).
% 42.61/28.25 tff(25824,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB159)) | v115(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25825,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB159)) | v115(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25826,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB159)) | v115(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25825, 25824])).
% 42.61/28.25 tff(25827,plain,
% 42.61/28.25 (~v123(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25826, 990, 25823])).
% 42.61/28.25 tff(25828,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25829,plain,
% 42.61/28.25 (((~v116(constB159)) | v115(constB159)) <=> (v115(constB159) | (~v116(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25830,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159))))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25829])).
% 42.61/28.25 tff(25831,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25830, 25828])).
% 42.61/28.25 tff(25832,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25833,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25832, 25831])).
% 42.61/28.25 tff(25834,plain,
% 42.61/28.25 (~v116(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25833, 539, 25823])).
% 42.61/28.25 tff(25835,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25836,plain,
% 42.61/28.25 (((~v117(constB159)) | v116(constB159)) <=> (v116(constB159) | (~v117(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25837,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159))))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25836])).
% 42.61/28.25 tff(25838,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25837, 25835])).
% 42.61/28.25 tff(25839,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25840,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25839, 25838])).
% 42.61/28.25 tff(25841,plain,
% 42.61/28.25 (~v117(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25840, 525, 25834])).
% 42.61/28.25 tff(25842,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25843,plain,
% 42.61/28.25 (((~v118(constB159)) | v117(constB159)) <=> (v117(constB159) | (~v118(constB159)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25844,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159))))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25843])).
% 42.61/28.25 tff(25845,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25844, 25842])).
% 42.61/28.25 tff(25846,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25847,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25846, 25845])).
% 42.61/28.25 tff(25848,plain,
% 42.61/28.25 (~v118(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25847, 511, 25841])).
% 42.61/28.25 tff(25849,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB159)) | v118(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25850,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB159)) | v118(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25851,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB159)) | v118(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25850, 25849])).
% 42.61/28.25 tff(25852,plain,
% 42.61/28.25 (~v119(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25851, 500, 25848])).
% 42.61/28.25 tff(25853,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB159)) | v118(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25854,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25855,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB159)) | v118(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25854, 25853])).
% 42.61/28.25 tff(25856,plain,
% 42.61/28.25 (~v120(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25855, 1630, 25848])).
% 42.61/28.25 tff(25857,assumption,(~v90(constB159, bitIndex1)), introduced(assumption)).
% 42.61/28.25 tff(25858,assumption,(~v123(constB159)), introduced(assumption)).
% 42.61/28.25 tff(25859,assumption,(~v119(constB159)), introduced(assumption)).
% 42.61/28.25 tff(25860,assumption,(~v90(constB159, bitIndex0)), introduced(assumption)).
% 42.61/28.25 tff(25861,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2)) | v123(constB159))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2)) | v123(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25862,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2)) | v123(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25863,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2)) | v123(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 42.61/28.25 tff(25864,plain,
% 42.61/28.25 (v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2))),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25863, 979, 25858])).
% 42.61/28.25 tff(25865,plain,
% 42.61/28.25 (~v90(constB159, bitIndex2)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25864, 25860, 25857])).
% 42.61/28.25 tff(25866,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v119(constB159))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v119(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25867,plain,
% 42.61/28.25 ((v90(constB159, bitIndex0) | v119(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2)) <=> (v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v119(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25868,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB159, bitIndex0) | v119(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v119(constB159)))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25867])).
% 42.61/28.25 tff(25869,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB159, bitIndex0) | v119(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v119(constB159))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25868, 25866])).
% 42.61/28.25 tff(25870,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB159, bitIndex0) | v119(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25871,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v119(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25870, 25869])).
% 42.61/28.25 tff(25872,plain,
% 42.61/28.25 (v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25871, 486, 25859])).
% 42.61/28.25 tff(25873,plain,
% 42.61/28.25 ($false),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25872, 25865, 25860, 25857])).
% 42.61/28.25 tff(25874,plain,(v90(constB159, bitIndex0) | v90(constB159, bitIndex1) | v119(constB159) | v123(constB159)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.25 tff(25875,plain,
% 42.61/28.25 (v90(constB159, bitIndex0)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25874, 25857, 25859, 25858])).
% 42.61/28.25 tff(25876,assumption,(~v124(constB159)), introduced(assumption)).
% 42.61/28.25 tff(25877,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2)) | v124(constB159))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2)) | v124(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25878,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2)) | v124(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25879,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2)) | v124(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25878, 25877])).
% 42.61/28.25 tff(25880,plain,
% 42.61/28.25 ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex2))),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25879, 15368, 25876])).
% 42.61/28.25 tff(25881,plain,
% 42.61/28.25 (~v90(constB159, bitIndex2)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25880, 25875, 25857])).
% 42.61/28.25 tff(25882,assumption,(~v120(constB159)), introduced(assumption)).
% 42.61/28.25 tff(25883,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25884,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25885,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25884, 25883])).
% 42.61/28.25 tff(25886,plain,
% 42.61/28.25 ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25885, 1619, 25882])).
% 42.61/28.25 tff(25887,plain,
% 42.61/28.25 ($false),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25886, 25881, 25875, 25857])).
% 42.61/28.25 tff(25888,plain,(v90(constB159, bitIndex1) | v120(constB159) | v124(constB159) | v119(constB159) | v123(constB159)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.25 tff(25889,plain,
% 42.61/28.25 (v90(constB159, bitIndex1)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25888, 25856, 25852, 25827, 25816])).
% 42.61/28.25 tff(25890,plain,
% 42.61/28.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25891,plain,
% 42.61/28.25 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25892,plain,
% 42.61/28.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25891])).
% 42.61/28.25 tff(25893,plain,
% 42.61/28.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25892, 25890])).
% 42.61/28.25 tff(25894,plain,
% 42.61/28.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25895,plain,
% 42.61/28.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25894, 25893])).
% 42.61/28.25 tff(25896,plain,
% 42.61/28.25 (v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25895, 444, 25640])).
% 42.61/28.25 tff(25897,plain,
% 42.61/28.25 (v90(constB158, bitIndex1) | (~v90(constB159, bitIndex1))),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25896, 25652])).
% 42.61/28.25 tff(25898,plain,
% 42.61/28.25 (v90(constB158, bitIndex1)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25897, 25889])).
% 42.61/28.25 tff(25899,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB159)) | v117(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25900,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB159)) | v117(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25901,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB159)) | v117(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25900, 25899])).
% 42.61/28.25 tff(25902,plain,
% 42.61/28.25 (~v121(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25901, 1881, 25841])).
% 42.61/28.25 tff(25903,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB159)) | v116(constB159))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25904,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB159)) | v116(constB159))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25905,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB159)) | v116(constB159)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25904, 25903])).
% 42.61/28.25 tff(25906,plain,
% 42.61/28.25 (~v122(constB159)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25905, 2140, 25834])).
% 42.61/28.25 tff(25907,plain,
% 42.61/28.25 (v90(constB159, bitIndex2)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25779, 25889, 25906, 25902])).
% 42.61/28.25 tff(25908,plain,
% 42.61/28.25 (v90(constB158, bitIndex2)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25731, 25907])).
% 42.61/28.25 tff(25909,assumption,(v120(constB155)), introduced(assumption)).
% 42.61/28.25 tff(25910,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB155) | (~v120(constB155)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB155) | (~v120(constB155)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25911,plain,
% 42.61/28.25 (((~v120(constB155)) | v118(constB155)) <=> (v118(constB155) | (~v120(constB155)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25912,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB155)) | v118(constB155))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB155) | (~v120(constB155))))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25911])).
% 42.61/28.25 tff(25913,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB155)) | v118(constB155))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB155) | (~v120(constB155)))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25912, 25910])).
% 42.61/28.25 tff(25914,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB155)) | v118(constB155))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25915,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB155) | (~v120(constB155))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25914, 25913])).
% 42.61/28.25 tff(25916,plain,
% 42.61/28.25 (v118(constB155)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25915, 1630, 25909])).
% 42.61/28.25 tff(25917,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB155)) | v117(constB155))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB155)) | v117(constB155))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25918,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB155)) | v117(constB155))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25919,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB155)) | v117(constB155)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25918, 25917])).
% 42.61/28.25 tff(25920,plain,
% 42.61/28.25 (v117(constB155)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25919, 511, 25916])).
% 42.61/28.25 tff(25921,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB155) | (~v117(constB155)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB155) | (~v117(constB155)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25922,plain,
% 42.61/28.25 (((~v117(constB155)) | v116(constB155)) <=> (v116(constB155) | (~v117(constB155)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25923,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB155)) | v116(constB155))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB155) | (~v117(constB155))))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25922])).
% 42.61/28.25 tff(25924,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB155)) | v116(constB155))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB155) | (~v117(constB155)))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25923, 25921])).
% 42.61/28.25 tff(25925,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB155)) | v116(constB155))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25926,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB155) | (~v117(constB155))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25925, 25924])).
% 42.61/28.25 tff(25927,plain,
% 42.61/28.25 (v116(constB155)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25926, 525, 25920])).
% 42.61/28.25 tff(25928,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB155) | (~v116(constB155)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB155) | (~v116(constB155)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25929,plain,
% 42.61/28.25 (((~v116(constB155)) | v115(constB155)) <=> (v115(constB155) | (~v116(constB155)))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25930,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB155)) | v115(constB155))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB155) | (~v116(constB155))))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25929])).
% 42.61/28.25 tff(25931,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB155)) | v115(constB155))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB155) | (~v116(constB155)))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25930, 25928])).
% 42.61/28.25 tff(25932,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB155)) | v115(constB155))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25933,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB155) | (~v116(constB155))),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25932, 25931])).
% 42.61/28.25 tff(25934,plain,
% 42.61/28.25 (v115(constB155)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25933, 539, 25927])).
% 42.61/28.25 tff(25935,plain,
% 42.61/28.25 (v114(constB155)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25339, 553, 25934])).
% 42.61/28.25 tff(25936,plain,
% 42.61/28.25 (v113(constB155)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25343, 567, 25935])).
% 42.61/28.25 tff(25937,plain,
% 42.61/28.25 (v112(constB155)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25183, 25936])).
% 42.61/28.25 tff(25938,plain,
% 42.61/28.25 (v108(constB155)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25271, 746, 25937])).
% 42.61/28.25 tff(25939,plain,
% 42.61/28.25 (v110(constB156)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25264, 25938])).
% 42.61/28.25 tff(25940,plain,
% 42.61/28.25 (v100(constB156)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25256, 25939])).
% 42.61/28.25 tff(25941,plain,
% 42.61/28.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB155)) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB155)) | v130(constB155, bitIndex1))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25942,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB155)) | v130(constB155, bitIndex1))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25943,plain,
% 42.61/28.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB155)) | v130(constB155, bitIndex1)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 42.61/28.25 tff(25944,plain,
% 42.61/28.25 (v130(constB155, bitIndex1)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25943, 1788, 25909])).
% 42.61/28.25 tff(25945,plain,
% 42.61/28.25 (v127(constB155, bitIndex1)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25378, 25944])).
% 42.61/28.25 tff(25946,plain,
% 42.61/28.25 (v129(constB156, bitIndex1)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25383, 25945])).
% 42.61/28.25 tff(25947,plain,
% 42.61/28.25 (v90(constB156, bitIndex1) | (~v100(constB156))),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25390, 1174, 25946])).
% 42.61/28.25 tff(25948,plain,
% 42.61/28.25 (v90(constB156, bitIndex1)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25947, 25940])).
% 42.61/28.25 tff(25949,plain,
% 42.61/28.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25950,plain,
% 42.61/28.25 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 42.61/28.25 inference(rewrite,[status(thm)],[])).
% 42.61/28.25 tff(25951,plain,
% 42.61/28.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)))),
% 42.61/28.25 inference(monotonicity,[status(thm)],[25950])).
% 42.61/28.25 tff(25952,plain,
% 42.61/28.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 42.61/28.25 inference(transitivity,[status(thm)],[25951, 25949])).
% 42.61/28.25 tff(25953,plain,
% 42.61/28.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))),
% 42.61/28.25 inference(quant_inst,[status(thm)],[])).
% 42.61/28.25 tff(25954,plain,
% 42.61/28.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)),
% 42.61/28.25 inference(modus_ponens,[status(thm)],[25953, 25952])).
% 42.61/28.25 tff(25955,plain,
% 42.61/28.25 ((~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25954, 1192, 25439])).
% 42.61/28.25 tff(25956,plain,
% 42.61/28.25 ((~v90(constB156, bitIndex1)) | v90(constB157, bitIndex1)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25955, 25451])).
% 42.61/28.25 tff(25957,plain,
% 42.61/28.25 (v90(constB157, bitIndex1)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25956, 25948])).
% 42.61/28.25 tff(25958,plain,
% 42.61/28.25 (~v130(constB155, bitIndex0)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25320, 1826, 25909])).
% 42.61/28.25 tff(25959,plain,
% 42.61/28.25 (~v127(constB155, bitIndex0)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25308, 25958])).
% 42.61/28.25 tff(25960,plain,
% 42.61/28.25 (~v129(constB156, bitIndex0)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25300, 25959])).
% 42.61/28.25 tff(25961,plain,
% 42.61/28.25 ((~v90(constB156, bitIndex0)) | (~v100(constB156))),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25294, 952, 25960])).
% 42.61/28.25 tff(25962,plain,
% 42.61/28.25 (~v90(constB156, bitIndex0)),
% 42.61/28.25 inference(unit_resolution,[status(thm)],[25961, 25940])).
% 42.61/28.25 tff(25963,plain,
% 42.61/28.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(25964,plain,
% 42.61/28.26 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(25965,plain,
% 42.61/28.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))))),
% 42.61/28.26 inference(monotonicity,[status(thm)],[25964])).
% 42.61/28.26 tff(25966,plain,
% 42.61/28.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 42.61/28.26 inference(transitivity,[status(thm)],[25965, 25963])).
% 42.61/28.26 tff(25967,plain,
% 42.61/28.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(25968,plain,
% 42.61/28.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[25967, 25966])).
% 42.61/28.26 tff(25969,plain,
% 42.61/28.26 (v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25968, 465, 25439])).
% 42.61/28.26 tff(25970,plain,
% 42.61/28.26 (v90(constB156, bitIndex0) | (~v90(constB157, bitIndex0))),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25969, 25451])).
% 42.61/28.26 tff(25971,plain,
% 42.61/28.26 (~v90(constB157, bitIndex0)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25970, 25962])).
% 42.61/28.26 tff(25972,assumption,(~v90(constB157, bitIndex0)), introduced(assumption)).
% 42.61/28.26 tff(25973,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB157)) | v90(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB157)) | v90(constB157, bitIndex0))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(25974,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB157)) | v90(constB157, bitIndex0))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(25975,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB157)) | v90(constB157, bitIndex0)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 42.61/28.26 tff(25976,plain,
% 42.61/28.26 (~v122(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25975, 4538, 25972])).
% 42.61/28.26 tff(25977,assumption,(v90(constB157, bitIndex1)), introduced(assumption)).
% 42.61/28.26 tff(25978,assumption,(~v100(constB158)), introduced(assumption)).
% 42.61/28.26 tff(25979,plain,
% 42.61/28.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB157, bitIndex2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB157, bitIndex2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex2)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(25980,plain,
% 42.61/28.26 (((~nextState(constB157, constB158)) | v90(constB157, bitIndex2) | v100(constB158) | (~v90(constB158, bitIndex2))) <=> (v90(constB157, bitIndex2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex2)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(25981,plain,
% 42.61/28.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex2) | v100(constB158) | (~v90(constB158, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB157, bitIndex2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex2))))),
% 42.61/28.26 inference(monotonicity,[status(thm)],[25980])).
% 42.61/28.26 tff(25982,plain,
% 42.61/28.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex2) | v100(constB158) | (~v90(constB158, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB157, bitIndex2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex2)))),
% 42.61/28.26 inference(transitivity,[status(thm)],[25981, 25979])).
% 42.61/28.26 tff(25983,plain,
% 42.61/28.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex2) | v100(constB158) | (~v90(constB158, bitIndex2)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(25984,plain,
% 42.61/28.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB157, bitIndex2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex2))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[25983, 25982])).
% 42.61/28.26 tff(25985,plain,
% 42.61/28.26 (v90(constB157, bitIndex2) | v100(constB158) | (~v90(constB158, bitIndex2))),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25984, 423, 25529])).
% 42.61/28.26 tff(25986,plain,
% 42.61/28.26 (v90(constB157, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25985, 25978, 25697])).
% 42.61/28.26 tff(25987,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(25988,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(25989,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[25988, 25987])).
% 42.61/28.26 tff(25990,plain,
% 42.61/28.26 (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25989, 1252, 25977])).
% 42.61/28.26 tff(25991,plain,
% 42.61/28.26 (v125(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25990, 25986, 25972])).
% 42.61/28.26 tff(25992,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB157)) | v113(constB157))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(25993,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(25994,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB157)) | v113(constB157)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[25993, 25992])).
% 42.61/28.26 tff(25995,plain,
% 42.61/28.26 (v113(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25994, 1263, 25991])).
% 42.61/28.26 tff(25996,plain,
% 42.61/28.26 (~v110(constB158)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25574, 25978])).
% 42.61/28.26 tff(25997,plain,
% 42.61/28.26 (~v108(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25582, 25996])).
% 42.61/28.26 tff(25998,plain,
% 42.61/28.26 (~v112(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25589, 746, 25997])).
% 42.61/28.26 tff(25999,plain,
% 42.61/28.26 (v112(constB157) | (~v113(constB157))),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25600, 581, 25708])).
% 42.61/28.26 tff(26000,plain,
% 42.61/28.26 ($false),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25999, 25998, 25995])).
% 42.61/28.26 tff(26001,plain,(v100(constB158) | v26(constB157) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB158, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.61/28.26 tff(26002,plain,
% 42.61/28.26 (v100(constB158)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26001, 25972, 25708, 25977, 25697])).
% 42.61/28.26 tff(26003,plain,
% 42.61/28.26 (v129(constB158, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25701, 26002])).
% 42.61/28.26 tff(26004,plain,
% 42.61/28.26 (v127(constB157, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25706, 26003])).
% 42.61/28.26 tff(26005,plain,
% 42.61/28.26 (v130(constB157, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25715, 26004])).
% 42.61/28.26 tff(26006,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26007,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26008,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26007, 26006])).
% 42.61/28.26 tff(26009,plain,
% 42.61/28.26 (~v119(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26008, 1380, 25977])).
% 42.61/28.26 tff(26010,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB157)) | (~v90(constB157, bitIndex1)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26011,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB157)) | (~v90(constB157, bitIndex1)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26012,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB157)) | (~v90(constB157, bitIndex1))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26011, 26010])).
% 42.61/28.26 tff(26013,plain,
% 42.61/28.26 (~v120(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26012, 1391, 25977])).
% 42.61/28.26 tff(26014,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB157)) | (~v90(constB157, bitIndex1)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26015,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB157)) | (~v90(constB157, bitIndex1)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26016,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB157)) | (~v90(constB157, bitIndex1))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26015, 26014])).
% 42.61/28.26 tff(26017,plain,
% 42.61/28.26 (~v123(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26016, 1358, 25977])).
% 42.61/28.26 tff(26018,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB157)) | (~v90(constB157, bitIndex1)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26019,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB157)) | (~v90(constB157, bitIndex1)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26020,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB157)) | (~v90(constB157, bitIndex1))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26019, 26018])).
% 42.61/28.26 tff(26021,plain,
% 42.61/28.26 (~v124(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26020, 1369, 25977])).
% 42.61/28.26 tff(26022,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26023,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26024,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26023, 26022])).
% 42.61/28.26 tff(26025,plain,
% 42.61/28.26 (v121(constB157) | v122(constB157) | (~v130(constB157, bitIndex2))),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26024, 1405, 26021, 26017, 26013, 26009])).
% 42.61/28.26 tff(26026,plain,
% 42.61/28.26 (v121(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26025, 26005, 25976])).
% 42.61/28.26 tff(26027,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB157)) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB157)) | (~v130(constB157, bitIndex2)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26028,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB157)) | (~v130(constB157, bitIndex2)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26029,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB157)) | (~v130(constB157, bitIndex2))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26028, 26027])).
% 42.61/28.26 tff(26030,plain,
% 42.61/28.26 ($false),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26029, 1990, 26005, 26026])).
% 42.61/28.26 tff(26031,plain,(v90(constB157, bitIndex0) | v26(constB157) | (~v90(constB158, bitIndex2)) | (~v90(constB157, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.61/28.26 tff(26032,plain,
% 42.61/28.26 (v90(constB157, bitIndex0) | (~v90(constB158, bitIndex2)) | (~v90(constB157, bitIndex1))),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26031, 25594])).
% 42.61/28.26 tff(26033,plain,
% 42.61/28.26 (~v90(constB158, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26032, 25971, 25957])).
% 42.61/28.26 tff(26034,plain,
% 42.61/28.26 (~v90(constB159, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25731, 26033])).
% 42.61/28.26 tff(26035,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB155)) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB155)) | (~v130(constB155, bitIndex2)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26036,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB155)) | (~v130(constB155, bitIndex2)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26037,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB155)) | (~v130(constB155, bitIndex2))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26036, 26035])).
% 42.61/28.26 tff(26038,plain,
% 42.61/28.26 (~v130(constB155, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26037, 1732, 25909])).
% 42.61/28.26 tff(26039,plain,
% 42.61/28.26 (~v127(constB155, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25471, 26038])).
% 42.61/28.26 tff(26040,plain,
% 42.61/28.26 (~v129(constB156, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25476, 26039])).
% 42.61/28.26 tff(26041,plain,
% 42.61/28.26 ((~v90(constB156, bitIndex2)) | (~v100(constB156))),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25480, 1452, 26040])).
% 42.61/28.26 tff(26042,plain,
% 42.61/28.26 (~v90(constB156, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26041, 25940])).
% 42.61/28.26 tff(26043,plain,
% 42.61/28.26 (~v90(constB157, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25490, 26042])).
% 42.61/28.26 tff(26044,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26045,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26046,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26045, 26044])).
% 42.61/28.26 tff(26047,plain,
% 42.61/28.26 (v121(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26046, 1870, 25971, 25957, 26043])).
% 42.61/28.26 tff(26048,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB157)) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB157)) | v130(constB157, bitIndex0))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26049,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB157)) | v130(constB157, bitIndex0))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26050,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB157)) | v130(constB157, bitIndex0)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26049, 26048])).
% 42.61/28.26 tff(26051,plain,
% 42.61/28.26 (v130(constB157, bitIndex0)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26050, 2088, 26047])).
% 42.61/28.26 tff(26052,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26053,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26054,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26053, 26052])).
% 42.61/28.26 tff(26055,plain,
% 42.61/28.26 ((~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26054, 1552, 25594])).
% 42.61/28.26 tff(26056,plain,
% 42.61/28.26 (v127(constB157, bitIndex0)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26055, 26051])).
% 42.61/28.26 tff(26057,plain,
% 42.61/28.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26058,plain,
% 42.61/28.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26059,plain,
% 42.61/28.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26058, 26057])).
% 42.61/28.26 tff(26060,plain,
% 42.61/28.26 ((~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26059, 1567, 25529])).
% 42.61/28.26 tff(26061,plain,
% 42.61/28.26 (v129(constB158, bitIndex0)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26060, 26056])).
% 42.61/28.26 tff(26062,assumption,(~v113(constB157)), introduced(assumption)).
% 42.61/28.26 tff(26063,plain,
% 42.61/28.26 (~v114(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25605, 567, 26062])).
% 42.61/28.26 tff(26064,plain,
% 42.61/28.26 (~v115(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25609, 553, 26063])).
% 42.61/28.26 tff(26065,plain,
% 42.61/28.26 (~v116(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25631, 539, 26064])).
% 42.61/28.26 tff(26066,plain,
% 42.61/28.26 (~v117(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25624, 525, 26065])).
% 42.61/28.26 tff(26067,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB157)) | v117(constB157))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB157)) | v117(constB157))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26068,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB157)) | v117(constB157))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26069,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB157)) | v117(constB157)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26068, 26067])).
% 42.61/28.26 tff(26070,plain,
% 42.61/28.26 (~v121(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26069, 1881, 26066])).
% 42.61/28.26 tff(26071,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB157)) | v115(constB157))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB157)) | v115(constB157))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26072,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB157)) | v115(constB157))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26073,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB157)) | v115(constB157)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26072, 26071])).
% 42.61/28.26 tff(26074,plain,
% 42.61/28.26 (~v123(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26073, 990, 26064])).
% 42.61/28.26 tff(26075,plain,
% 42.61/28.26 (~v118(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25617, 511, 26066])).
% 42.61/28.26 tff(26076,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB157)) | v118(constB157))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB157)) | v118(constB157))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26077,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB157)) | v118(constB157))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26078,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB157)) | v118(constB157)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26077, 26076])).
% 42.61/28.26 tff(26079,plain,
% 42.61/28.26 (~v119(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26078, 500, 26075])).
% 42.61/28.26 tff(26080,assumption,(~v119(constB157)), introduced(assumption)).
% 42.61/28.26 tff(26081,assumption,(~v90(constB157, bitIndex1)), introduced(assumption)).
% 42.61/28.26 tff(26082,assumption,(~v123(constB157)), introduced(assumption)).
% 42.61/28.26 tff(26083,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26084,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26085,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26084, 26083])).
% 42.61/28.26 tff(26086,plain,
% 42.61/28.26 (v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26085, 979, 25972])).
% 42.61/28.26 tff(26087,plain,
% 42.61/28.26 (~v90(constB157, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26086, 26081, 26082])).
% 42.61/28.26 tff(26088,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v119(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v119(constB157))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26089,plain,
% 42.61/28.26 ((v90(constB157, bitIndex0) | v119(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)) <=> (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v119(constB157))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26090,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB157, bitIndex0) | v119(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v119(constB157)))),
% 42.61/28.26 inference(monotonicity,[status(thm)],[26089])).
% 42.61/28.26 tff(26091,plain,
% 42.61/28.26 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB157, bitIndex0) | v119(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v119(constB157))),
% 42.61/28.26 inference(transitivity,[status(thm)],[26090, 26088])).
% 42.61/28.26 tff(26092,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB157, bitIndex0) | v119(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26093,plain,
% 42.61/28.26 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v119(constB157)),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26092, 26091])).
% 42.61/28.26 tff(26094,plain,
% 42.61/28.26 (v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v119(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26093, 486, 25972])).
% 42.61/28.26 tff(26095,plain,
% 42.61/28.26 ($false),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26094, 26087, 26081, 26080])).
% 42.61/28.26 tff(26096,plain,(v90(constB157, bitIndex1) | v119(constB157) | v90(constB157, bitIndex0) | v123(constB157)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.26 tff(26097,plain,
% 42.61/28.26 (v90(constB157, bitIndex1)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26096, 26079, 25972, 26074])).
% 42.61/28.26 tff(26098,plain,
% 42.61/28.26 (~v125(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25994, 1263, 26062])).
% 42.61/28.26 tff(26099,plain,
% 42.61/28.26 ((~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25989, 1252, 25972])).
% 42.61/28.26 tff(26100,plain,
% 42.61/28.26 (~v90(constB157, bitIndex2)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26099, 26097, 26098])).
% 42.61/28.26 tff(26101,plain,
% 42.61/28.26 ((~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26046, 1870, 25972])).
% 42.61/28.26 tff(26102,plain,
% 42.61/28.26 ($false),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26101, 26100, 26097, 26070])).
% 42.61/28.26 tff(26103,plain,(v113(constB157) | v90(constB157, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.26 tff(26104,plain,
% 42.61/28.26 (v113(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26103, 25971])).
% 42.61/28.26 tff(26105,plain,
% 42.61/28.26 (v112(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25601, 26104])).
% 42.61/28.26 tff(26106,plain,
% 42.61/28.26 (v108(constB157)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25589, 746, 26105])).
% 42.61/28.26 tff(26107,plain,
% 42.61/28.26 (v110(constB158)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25582, 26106])).
% 42.61/28.26 tff(26108,plain,
% 42.61/28.26 (v100(constB158)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[25574, 26107])).
% 42.61/28.26 tff(26109,plain,
% 42.61/28.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26110,plain,
% 42.61/28.26 ((v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26111,plain,
% 42.61/28.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))))),
% 42.61/28.26 inference(monotonicity,[status(thm)],[26110])).
% 42.61/28.26 tff(26112,plain,
% 42.61/28.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 42.61/28.26 inference(transitivity,[status(thm)],[26111, 26109])).
% 42.61/28.26 tff(26113,plain,
% 42.61/28.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26114,plain,
% 42.61/28.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))),
% 42.61/28.26 inference(modus_ponens,[status(thm)],[26113, 26112])).
% 42.61/28.26 tff(26115,plain,
% 42.61/28.26 (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0))),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26114, 1582, 26108])).
% 42.61/28.26 tff(26116,plain,
% 42.61/28.26 (v90(constB158, bitIndex0)),
% 42.61/28.26 inference(unit_resolution,[status(thm)],[26115, 26061])).
% 42.61/28.26 tff(26117,plain,
% 42.61/28.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26118,plain,
% 42.61/28.26 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 42.61/28.26 inference(rewrite,[status(thm)],[])).
% 42.61/28.26 tff(26119,plain,
% 42.61/28.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)))),
% 42.61/28.26 inference(monotonicity,[status(thm)],[26118])).
% 42.61/28.26 tff(26120,plain,
% 42.61/28.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 42.61/28.26 inference(transitivity,[status(thm)],[26119, 26117])).
% 42.61/28.26 tff(26121,plain,
% 42.61/28.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))),
% 42.61/28.26 inference(quant_inst,[status(thm)],[])).
% 42.61/28.26 tff(26122,plain,
% 42.61/28.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26121, 26120])).
% 42.61/28.27 tff(26123,plain,
% 42.61/28.27 ((~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26122, 1600, 25640])).
% 42.61/28.27 tff(26124,plain,
% 42.61/28.27 ((~v90(constB158, bitIndex0)) | v90(constB159, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26123, 25652])).
% 42.61/28.27 tff(26125,plain,
% 42.61/28.27 (v90(constB159, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26124, 26116])).
% 42.61/28.27 tff(26126,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB157)) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB157)) | v130(constB157, bitIndex1))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26127,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB157)) | v130(constB157, bitIndex1))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26128,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB157)) | v130(constB157, bitIndex1)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26127, 26126])).
% 42.61/28.27 tff(26129,plain,
% 42.61/28.27 (v130(constB157, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26128, 2050, 26047])).
% 42.61/28.27 tff(26130,plain,
% 42.61/28.27 (v127(constB157, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25740, 26129])).
% 42.61/28.27 tff(26131,plain,
% 42.61/28.27 (v129(constB158, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25745, 26130])).
% 42.61/28.27 tff(26132,plain,
% 42.61/28.27 (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25753, 1174, 26108])).
% 42.61/28.27 tff(26133,plain,
% 42.61/28.27 (v90(constB158, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26132, 26131])).
% 42.61/28.27 tff(26134,plain,
% 42.61/28.27 (v90(constB159, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25763, 26133])).
% 42.61/28.27 tff(26135,plain,
% 42.61/28.27 ($false),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25771, 26134, 26125, 26034])).
% 42.61/28.27 tff(26136,plain,((~v120(constB155)) | v122(constB159)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.27 tff(26137,plain,
% 42.61/28.27 (~v120(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26136, 25906])).
% 42.61/28.27 tff(26138,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB159)) | v113(constB159))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26139,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB159)) | v113(constB159))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26140,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB159)) | v113(constB159)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26139, 26138])).
% 42.61/28.27 tff(26141,plain,
% 42.61/28.27 (~v125(constB159)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26140, 1263, 25805])).
% 42.61/28.27 tff(26142,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | (~v90(constB159, bitIndex2)) | v125(constB159))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | (~v90(constB159, bitIndex2)) | v125(constB159))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26143,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | (~v90(constB159, bitIndex2)) | v125(constB159))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26144,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | (~v90(constB159, bitIndex2)) | v125(constB159)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26143, 26142])).
% 42.61/28.27 tff(26145,plain,
% 42.61/28.27 (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | (~v90(constB159, bitIndex2))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26144, 1252, 26141])).
% 42.61/28.27 tff(26146,plain,
% 42.61/28.27 (v90(constB159, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26145, 25907, 25889])).
% 42.61/28.27 tff(26147,plain,
% 42.61/28.27 (v90(constB158, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25660, 26146])).
% 42.61/28.27 tff(26148,plain,
% 42.61/28.27 (~v90(constB156, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25499, 25972])).
% 42.61/28.27 tff(26149,plain,
% 42.61/28.27 (~v90(constB157, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26032, 25972, 25697])).
% 42.61/28.27 tff(26150,plain,
% 42.61/28.27 (~v90(constB156, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25956, 26149])).
% 42.61/28.27 tff(26151,assumption,(~v90(constB156, bitIndex1)), introduced(assumption)).
% 42.61/28.27 tff(26152,assumption,(~v90(constB156, bitIndex2)), introduced(assumption)).
% 42.61/28.27 tff(26153,assumption,(v120(constB153)), introduced(assumption)).
% 42.61/28.27 tff(26154,plain,
% 42.61/28.27 (v118(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21966, 1630, 26153])).
% 42.61/28.27 tff(26155,plain,
% 42.61/28.27 (v117(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21977, 511, 26154])).
% 42.61/28.27 tff(26156,plain,
% 42.61/28.27 (v116(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21970, 525, 26155])).
% 42.61/28.27 tff(26157,plain,
% 42.61/28.27 (v115(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21927, 539, 26156])).
% 42.61/28.27 tff(26158,plain,
% 42.61/28.27 (v114(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21920, 553, 26157])).
% 42.61/28.27 tff(26159,plain,
% 42.61/28.27 (v113(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21913, 567, 26158])).
% 42.61/28.27 tff(26160,plain,
% 42.61/28.27 (v112(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21906, 26159])).
% 42.61/28.27 tff(26161,plain,
% 42.61/28.27 (v108(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21898, 746, 26160])).
% 42.61/28.27 tff(26162,plain,
% 42.61/28.27 (v110(constB154)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21891, 26161])).
% 42.61/28.27 tff(26163,plain,
% 42.61/28.27 (v100(constB154)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21883, 26162])).
% 42.61/28.27 tff(26164,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB153)) | (~v130(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB153)) | (~v130(constB153, bitIndex2)))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26165,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB153)) | (~v130(constB153, bitIndex2)))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26166,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB153)) | (~v130(constB153, bitIndex2))),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26165, 26164])).
% 42.61/28.27 tff(26167,plain,
% 42.61/28.27 (~v130(constB153, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26166, 1732, 26153])).
% 42.61/28.27 tff(26168,plain,
% 42.61/28.27 (~v127(constB153, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22236, 26167])).
% 42.61/28.27 tff(26169,plain,
% 42.61/28.27 (~v129(constB154, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22241, 26168])).
% 42.61/28.27 tff(26170,plain,
% 42.61/28.27 ((~v90(constB154, bitIndex2)) | (~v100(constB154))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22245, 1452, 26169])).
% 42.61/28.27 tff(26171,plain,
% 42.61/28.27 (~v90(constB154, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26170, 26163])).
% 42.61/28.27 tff(26172,plain,
% 42.61/28.27 (~v90(constB155, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22255, 26171])).
% 42.61/28.27 tff(26173,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB153)) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB153)) | v130(constB153, bitIndex1))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26174,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB153)) | v130(constB153, bitIndex1))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26175,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB153)) | v130(constB153, bitIndex1)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26174, 26173])).
% 42.61/28.27 tff(26176,plain,
% 42.61/28.27 (v130(constB153, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26175, 1788, 26153])).
% 42.61/28.27 tff(26177,plain,
% 42.61/28.27 (v127(constB153, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25094, 26176])).
% 42.61/28.27 tff(26178,plain,
% 42.61/28.27 (v129(constB154, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25099, 26177])).
% 42.61/28.27 tff(26179,plain,
% 42.61/28.27 (v90(constB154, bitIndex1) | (~v100(constB154))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25106, 1174, 26178])).
% 42.61/28.27 tff(26180,plain,
% 42.61/28.27 (v90(constB154, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26179, 26163])).
% 42.61/28.27 tff(26181,plain,
% 42.61/28.27 (v90(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22039, 26180])).
% 42.61/28.27 tff(26182,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB153)) | (~v130(constB153, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB153)) | (~v130(constB153, bitIndex0)))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26183,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB153)) | (~v130(constB153, bitIndex0)))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26184,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB153)) | (~v130(constB153, bitIndex0))),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26183, 26182])).
% 42.61/28.27 tff(26185,plain,
% 42.61/28.27 (~v130(constB153, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26184, 1826, 26153])).
% 42.61/28.27 tff(26186,plain,
% 42.61/28.27 (~v127(constB153, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25144, 26185])).
% 42.61/28.27 tff(26187,plain,
% 42.61/28.27 (~v129(constB154, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25149, 26186])).
% 42.61/28.27 tff(26188,plain,
% 42.61/28.27 ((~v90(constB154, bitIndex0)) | (~v100(constB154))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25156, 952, 26187])).
% 42.61/28.27 tff(26189,plain,
% 42.61/28.27 (~v90(constB154, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26188, 26163])).
% 42.61/28.27 tff(26190,plain,
% 42.61/28.27 (~v90(constB155, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25166, 26189])).
% 42.61/28.27 tff(26191,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v121(constB155))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v121(constB155))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26192,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v121(constB155))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26193,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | v90(constB155, bitIndex2) | v121(constB155)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26192, 26191])).
% 42.61/28.27 tff(26194,plain,
% 42.61/28.27 (v121(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26193, 1870, 26190, 26181, 26172])).
% 42.61/28.27 tff(26195,plain,
% 42.61/28.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB155, bitIndex1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB155, bitIndex1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex1))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26196,plain,
% 42.61/28.27 (((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex1)) | v100(constB156) | v90(constB156, bitIndex1)) <=> ((~v90(constB155, bitIndex1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex1))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26197,plain,
% 42.61/28.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex1)) | v100(constB156) | v90(constB156, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB155, bitIndex1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex1)))),
% 42.61/28.27 inference(monotonicity,[status(thm)],[26196])).
% 42.61/28.27 tff(26198,plain,
% 42.61/28.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex1)) | v100(constB156) | v90(constB156, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB155, bitIndex1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex1))),
% 42.61/28.27 inference(transitivity,[status(thm)],[26197, 26195])).
% 42.61/28.27 tff(26199,plain,
% 42.61/28.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex1)) | v100(constB156) | v90(constB156, bitIndex1))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26200,plain,
% 42.61/28.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB155, bitIndex1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex1)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26199, 26198])).
% 42.61/28.27 tff(26201,plain,
% 42.61/28.27 ((~v90(constB155, bitIndex1)) | v100(constB156) | v90(constB156, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26200, 1192, 25211])).
% 42.61/28.27 tff(26202,plain,
% 42.61/28.27 (v100(constB156)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26201, 26181, 26151])).
% 42.61/28.27 tff(26203,plain,
% 42.61/28.27 ((~v129(constB156, bitIndex1)) | (~v100(constB156))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25390, 1174, 26151])).
% 42.61/28.27 tff(26204,plain,
% 42.61/28.27 (~v129(constB156, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26203, 26202])).
% 42.61/28.27 tff(26205,plain,
% 42.61/28.27 (~v127(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25383, 26204])).
% 42.61/28.27 tff(26206,plain,
% 42.61/28.27 (~v130(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25378, 26205])).
% 42.61/28.27 tff(26207,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB155)) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB155)) | v130(constB155, bitIndex1))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26208,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB155)) | v130(constB155, bitIndex1))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26209,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB155)) | v130(constB155, bitIndex1)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26208, 26207])).
% 42.61/28.27 tff(26210,plain,
% 42.61/28.27 ($false),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26209, 2050, 26206, 26194])).
% 42.61/28.27 tff(26211,plain,((~v120(constB153)) | v90(constB156, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.27 tff(26212,plain,
% 42.61/28.27 (~v120(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26211, 26151])).
% 42.61/28.27 tff(26213,plain,
% 42.61/28.27 (~v118(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21977, 511, 21971])).
% 42.61/28.27 tff(26214,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB153) | (~v119(constB153)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB153) | (~v119(constB153)))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26215,plain,
% 42.61/28.27 (((~v119(constB153)) | v118(constB153)) <=> (v118(constB153) | (~v119(constB153)))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26216,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB153)) | v118(constB153))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB153) | (~v119(constB153))))),
% 42.61/28.27 inference(monotonicity,[status(thm)],[26215])).
% 42.61/28.27 tff(26217,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB153)) | v118(constB153))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB153) | (~v119(constB153)))),
% 42.61/28.27 inference(transitivity,[status(thm)],[26216, 26214])).
% 42.61/28.27 tff(26218,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB153)) | v118(constB153))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26219,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB153) | (~v119(constB153))),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26218, 26217])).
% 42.61/28.27 tff(26220,plain,
% 42.61/28.27 (~v119(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26219, 500, 26213])).
% 42.61/28.27 tff(26221,plain,
% 42.61/28.27 (v90(constB153, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21547, 26220, 26212, 21959, 21943])).
% 42.61/28.27 tff(26222,plain,
% 42.61/28.27 (v90(constB153, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22007, 26221, 21992, 21939])).
% 42.61/28.27 tff(26223,plain,
% 42.61/28.27 ((~v90(constB153, bitIndex0)) | (~v90(constB153, bitIndex1)) | v90(constB153, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22011, 2129, 21932])).
% 42.61/28.27 tff(26224,plain,
% 42.61/28.27 (v90(constB153, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26223, 26222, 26221])).
% 42.61/28.27 tff(26225,plain,
% 42.61/28.27 (v90(constB154, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25063, 26224, 21852])).
% 42.61/28.27 tff(26226,plain,
% 42.61/28.27 (v90(constB155, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25081, 26225])).
% 42.61/28.27 tff(26227,plain,
% 42.61/28.27 (~v122(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25188, 1347, 26226])).
% 42.61/28.27 tff(26228,plain,
% 42.61/28.27 (v90(constB154, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22451, 26222, 21852])).
% 42.61/28.27 tff(26229,plain,
% 42.61/28.27 (v90(constB155, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22435, 26228])).
% 42.61/28.27 tff(26230,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB155)) | (~v90(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB155)) | (~v90(constB155, bitIndex0)))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26231,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB155)) | (~v90(constB155, bitIndex0)))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26232,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB155)) | (~v90(constB155, bitIndex0))),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26231, 26230])).
% 42.61/28.27 tff(26233,plain,
% 42.61/28.27 (~v121(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26232, 11039, 26229])).
% 42.61/28.27 tff(26234,plain,
% 42.61/28.27 (v90(constB154, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21951, 26221, 21852])).
% 42.61/28.27 tff(26235,plain,
% 42.61/28.27 (v90(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22039, 26234])).
% 42.61/28.27 tff(26236,plain,
% 42.61/28.27 (~v119(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25192, 1380, 26235])).
% 42.61/28.27 tff(26237,plain,
% 42.61/28.27 (~v120(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22043, 1391, 26235])).
% 42.61/28.27 tff(26238,plain,
% 42.61/28.27 (~v124(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25112, 1369, 26235])).
% 42.61/28.27 tff(26239,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v125(constB156)) | v90(constB156, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v125(constB156)) | v90(constB156, bitIndex1))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26240,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v125(constB156)) | v90(constB156, bitIndex1))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26241,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v125(constB156)) | v90(constB156, bitIndex1)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26240, 26239])).
% 42.61/28.27 tff(26242,plain,
% 42.61/28.27 (~v125(constB156)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26241, 18448, 26151])).
% 42.61/28.27 tff(26243,plain,
% 42.61/28.27 (~v123(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25407, 26242])).
% 42.61/28.27 tff(26244,plain,
% 42.61/28.27 (v100(constB156)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26201, 26235, 26151])).
% 42.61/28.27 tff(26245,plain,
% 42.61/28.27 (~v129(constB156, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25224, 26244])).
% 42.61/28.27 tff(26246,plain,
% 42.61/28.27 (~v127(constB155, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25215, 26245])).
% 42.61/28.27 tff(26247,plain,
% 42.61/28.27 (~v130(constB155, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25207, 26246])).
% 42.61/28.27 tff(26248,plain,
% 42.61/28.27 ($false),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25202, 1538, 26247, 26243, 26238, 26237, 26236, 26233, 26227])).
% 42.61/28.27 tff(26249,plain,(v100(constB154) | v90(constB156, bitIndex0) | v90(constB156, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.27 tff(26250,plain,
% 42.61/28.27 (v100(constB154)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26249, 25217, 26151])).
% 42.61/28.27 tff(26251,plain,
% 42.61/28.27 (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25106, 1174, 26250])).
% 42.61/28.27 tff(26252,plain,
% 42.61/28.27 (~v129(constB154, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26251, 21944])).
% 42.61/28.27 tff(26253,plain,
% 42.61/28.27 (~v127(constB153, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25099, 26252])).
% 42.61/28.27 tff(26254,plain,
% 42.61/28.27 (~v130(constB153, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25094, 26253])).
% 42.61/28.27 tff(26255,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB153)) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB153)) | v130(constB153, bitIndex1))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26256,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB153)) | v130(constB153, bitIndex1))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26257,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB153)) | v130(constB153, bitIndex1)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26256, 26255])).
% 42.61/28.27 tff(26258,plain,
% 42.61/28.27 (~v121(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26257, 2050, 26254])).
% 42.61/28.27 tff(26259,plain,
% 42.61/28.27 (~v123(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25089, 1130, 26254])).
% 42.61/28.27 tff(26260,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB153)) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB153)) | v130(constB153, bitIndex1))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26261,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB153)) | v130(constB153, bitIndex1))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26262,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB153)) | v130(constB153, bitIndex1)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 42.61/28.27 tff(26263,plain,
% 42.61/28.27 (~v124(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26262, 7641, 26254])).
% 42.61/28.27 tff(26264,plain,
% 42.61/28.27 (~v90(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22404, 21944])).
% 42.61/28.27 tff(26265,assumption,(~v90(constB154, bitIndex2)), introduced(assumption)).
% 42.61/28.27 tff(26266,plain,
% 42.61/28.27 (~v90(constB155, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22255, 26265])).
% 42.61/28.27 tff(26267,plain,
% 42.61/28.27 (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25071, 641, 26250])).
% 42.61/28.27 tff(26268,plain,
% 42.61/28.27 (~v129(constB154, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26267, 26265])).
% 42.61/28.27 tff(26269,plain,
% 42.61/28.27 (~v127(constB153, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21850, 26268])).
% 42.61/28.27 tff(26270,plain,
% 42.61/28.27 (~v130(constB153, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[21842, 26269])).
% 42.61/28.27 tff(26271,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB153)) | v130(constB153, bitIndex2))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26272,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB153)) | v130(constB153, bitIndex2))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26273,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB153)) | v130(constB153, bitIndex2)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26272, 26271])).
% 42.61/28.27 tff(26274,plain,
% 42.61/28.27 (~v122(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26273, 2224, 26270])).
% 42.61/28.27 tff(26275,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB153)) | v130(constB153, bitIndex2))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26276,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB153)) | v130(constB153, bitIndex2))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26277,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB153)) | v130(constB153, bitIndex2)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26276, 26275])).
% 42.61/28.27 tff(26278,plain,
% 42.61/28.27 (~v119(constB153)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26277, 593, 26270])).
% 42.61/28.27 tff(26279,plain,
% 42.61/28.27 (v119(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | v130(constB153, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22408, 1538, 26212])).
% 42.61/28.27 tff(26280,plain,
% 42.61/28.27 (v130(constB153, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26279, 26278, 21519, 21503, 22001, 26274])).
% 42.61/28.27 tff(26281,plain,
% 42.61/28.27 (v127(constB153, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22413, 26280])).
% 42.61/28.27 tff(26282,plain,
% 42.61/28.27 (v129(constB154, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22418, 26281])).
% 42.61/28.27 tff(26283,plain,
% 42.61/28.27 (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22425, 1582, 26250])).
% 42.61/28.27 tff(26284,plain,
% 42.61/28.27 (v90(constB154, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26283, 26282])).
% 42.61/28.27 tff(26285,plain,
% 42.61/28.27 (v90(constB155, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22435, 26284])).
% 42.61/28.27 tff(26286,assumption,(~v90(constB155, bitIndex1)), introduced(assumption)).
% 42.61/28.27 tff(26287,plain,
% 42.61/28.27 ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex2) | v120(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22440, 1619, 26286])).
% 42.61/28.27 tff(26288,plain,
% 42.61/28.27 (v120(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26287, 26285, 26266])).
% 42.61/28.27 tff(26289,plain,
% 42.61/28.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26290,plain,
% 42.61/28.27 (((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0)) <=> ((~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26291,plain,
% 42.61/28.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0)))),
% 42.61/28.27 inference(monotonicity,[status(thm)],[26290])).
% 42.61/28.27 tff(26292,plain,
% 42.61/28.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0))),
% 42.61/28.27 inference(transitivity,[status(thm)],[26291, 26289])).
% 42.61/28.27 tff(26293,plain,
% 42.61/28.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26294,plain,
% 42.61/28.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB155, bitIndex0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex0)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 42.61/28.27 tff(26295,plain,
% 42.61/28.27 ((~v90(constB155, bitIndex0)) | v100(constB156) | v90(constB156, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26294, 1600, 25211])).
% 42.61/28.27 tff(26296,plain,
% 42.61/28.27 (v100(constB156)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26295, 26285, 25217])).
% 42.61/28.27 tff(26297,plain,
% 42.61/28.27 (~v129(constB156, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26203, 26296])).
% 42.61/28.27 tff(26298,plain,
% 42.61/28.27 (~v127(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25383, 26297])).
% 42.61/28.27 tff(26299,plain,
% 42.61/28.27 (~v130(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25378, 26298])).
% 42.61/28.27 tff(26300,plain,
% 42.61/28.27 ($false),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25943, 1788, 26299, 26288])).
% 42.61/28.27 tff(26301,plain,(v90(constB154, bitIndex2) | v90(constB156, bitIndex1) | v90(constB155, bitIndex1) | v90(constB156, bitIndex0) | v124(constB153) | v123(constB153) | v121(constB153)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.27 tff(26302,plain,
% 42.61/28.27 (v90(constB154, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26301, 26264, 26151, 25217, 26263, 26259, 26258])).
% 42.61/28.27 tff(26303,plain,
% 42.61/28.27 (v90(constB155, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25081, 26302])).
% 42.61/28.27 tff(26304,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v123(constB155))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v123(constB155))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26305,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v123(constB155))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26306,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v123(constB155)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26305, 26304])).
% 42.61/28.27 tff(26307,plain,
% 42.61/28.27 (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2))),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26306, 979, 26264, 26243])).
% 42.61/28.27 tff(26308,plain,
% 42.61/28.27 (v90(constB155, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26307, 26303])).
% 42.61/28.27 tff(26309,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26310,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26311,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 42.61/28.27 tff(26312,plain,
% 42.61/28.27 ((~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)) | v124(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26311, 15368, 26264])).
% 42.61/28.27 tff(26313,plain,
% 42.61/28.27 (v124(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26312, 26308, 26303])).
% 42.61/28.27 tff(26314,plain,
% 42.61/28.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26315,plain,
% 42.61/28.27 (((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2)) <=> ((~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26316,plain,
% 42.61/28.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2)))),
% 42.61/28.27 inference(monotonicity,[status(thm)],[26315])).
% 42.61/28.27 tff(26317,plain,
% 42.61/28.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2))),
% 42.61/28.27 inference(transitivity,[status(thm)],[26316, 26314])).
% 42.61/28.27 tff(26318,plain,
% 42.61/28.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26319,plain,
% 42.61/28.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB155, bitIndex2)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, bitIndex2)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26318, 26317])).
% 42.61/28.27 tff(26320,plain,
% 42.61/28.27 ((~v90(constB155, bitIndex2)) | v100(constB156) | v90(constB156, bitIndex2)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26319, 783, 25211])).
% 42.61/28.27 tff(26321,plain,
% 42.61/28.27 (v100(constB156)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26320, 26303, 26152])).
% 42.61/28.27 tff(26322,plain,
% 42.61/28.27 (~v129(constB156, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25224, 26321])).
% 42.61/28.27 tff(26323,plain,
% 42.61/28.27 (~v127(constB155, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25215, 26322])).
% 42.61/28.27 tff(26324,plain,
% 42.61/28.27 (~v130(constB155, bitIndex0)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25207, 26323])).
% 42.61/28.27 tff(26325,plain,
% 42.61/28.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB155)) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB155)) | v130(constB155, bitIndex0))),
% 42.61/28.27 inference(rewrite,[status(thm)],[])).
% 42.61/28.27 tff(26326,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB155)) | v130(constB155, bitIndex0))),
% 42.61/28.27 inference(quant_inst,[status(thm)],[])).
% 42.61/28.27 tff(26327,plain,
% 42.61/28.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB155)) | v130(constB155, bitIndex0)),
% 42.61/28.27 inference(modus_ponens,[status(thm)],[26326, 26325])).
% 42.61/28.27 tff(26328,plain,
% 42.61/28.27 ($false),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26327, 4083, 26324, 26313])).
% 42.61/28.27 tff(26329,plain,(v90(constB154, bitIndex1) | v90(constB156, bitIndex0) | v90(constB156, bitIndex2) | v90(constB156, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.27 tff(26330,plain,
% 42.61/28.27 (v90(constB154, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26329, 25217, 26152, 26151])).
% 42.61/28.27 tff(26331,plain,
% 42.61/28.27 (v90(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22039, 26330])).
% 42.61/28.27 tff(26332,plain,
% 42.61/28.27 (~v119(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25192, 1380, 26331])).
% 42.61/28.27 tff(26333,plain,
% 42.61/28.27 (~v120(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[22043, 1391, 26331])).
% 42.61/28.27 tff(26334,plain,
% 42.61/28.27 (v100(constB156)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26201, 26331, 26151])).
% 42.61/28.27 tff(26335,plain,
% 42.61/28.27 (~v129(constB156, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26203, 26334])).
% 42.61/28.27 tff(26336,plain,
% 42.61/28.27 (~v127(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25383, 26335])).
% 42.61/28.27 tff(26337,plain,
% 42.61/28.27 (~v130(constB155, bitIndex1)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[25378, 26336])).
% 42.61/28.27 tff(26338,plain,
% 42.61/28.27 (~v121(constB155)),
% 42.61/28.27 inference(unit_resolution,[status(thm)],[26209, 2050, 26337])).
% 42.61/28.28 tff(26339,plain,
% 42.61/28.28 ((~v129(constB156, bitIndex2)) | (~v100(constB156))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25368, 641, 26152])).
% 42.61/28.28 tff(26340,plain,
% 42.61/28.28 (~v129(constB156, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26339, 26334])).
% 42.61/28.28 tff(26341,plain,
% 42.61/28.28 (~v127(constB155, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25361, 26340])).
% 42.61/28.28 tff(26342,plain,
% 42.61/28.28 (~v130(constB155, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25356, 26341])).
% 42.61/28.28 tff(26343,plain,
% 42.61/28.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB155)) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB155)) | v130(constB155, bitIndex2))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26344,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB155)) | v130(constB155, bitIndex2))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26345,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB155)) | v130(constB155, bitIndex2)),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26344, 26343])).
% 42.61/28.28 tff(26346,plain,
% 42.61/28.28 (~v122(constB155)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26345, 2224, 26342])).
% 42.61/28.28 tff(26347,plain,
% 42.61/28.28 (~v124(constB155)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25112, 1369, 26331])).
% 42.61/28.28 tff(26348,plain,
% 42.61/28.28 (~v129(constB156, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25224, 26334])).
% 42.61/28.28 tff(26349,plain,
% 42.61/28.28 (~v127(constB155, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25215, 26348])).
% 42.61/28.28 tff(26350,plain,
% 42.61/28.28 (~v130(constB155, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25207, 26349])).
% 42.61/28.28 tff(26351,plain,
% 42.61/28.28 ($false),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25202, 1538, 26350, 26243, 26347, 26346, 26338, 26333, 26332])).
% 42.61/28.28 tff(26352,plain,(v90(constB156, bitIndex0) | v90(constB156, bitIndex2) | v90(constB156, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.28 tff(26353,plain,
% 42.61/28.28 (v90(constB156, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26352, 26150, 26148])).
% 42.61/28.28 tff(26354,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26355,plain,
% 42.61/28.28 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)) <=> ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26356,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)))),
% 42.61/28.28 inference(monotonicity,[status(thm)],[26355])).
% 42.61/28.28 tff(26357,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 42.61/28.28 inference(transitivity,[status(thm)],[26356, 26354])).
% 42.61/28.28 tff(26358,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26359,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26358, 26357])).
% 42.61/28.28 tff(26360,plain,
% 42.61/28.28 ((~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26359, 783, 25439])).
% 42.61/28.28 tff(26361,plain,
% 42.61/28.28 ((~v90(constB156, bitIndex2)) | v90(constB157, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26360, 25451])).
% 42.61/28.28 tff(26362,plain,
% 42.61/28.28 (v90(constB157, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26361, 26353])).
% 42.61/28.28 tff(26363,plain,
% 42.61/28.28 (v123(constB157)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26085, 979, 25972, 26149, 26362])).
% 42.61/28.28 tff(26364,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26365,plain,
% 42.61/28.28 (((~nextState(constB157, constB158)) | v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0))) <=> (v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26366,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0))))),
% 42.61/28.28 inference(monotonicity,[status(thm)],[26365])).
% 42.61/28.28 tff(26367,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0)))),
% 42.61/28.28 inference(transitivity,[status(thm)],[26366, 26364])).
% 42.61/28.28 tff(26368,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26369,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB157, bitIndex0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex0))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26368, 26367])).
% 42.61/28.28 tff(26370,plain,
% 42.61/28.28 (v90(constB157, bitIndex0) | v100(constB158) | (~v90(constB158, bitIndex0))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26369, 465, 25529])).
% 42.61/28.28 tff(26371,plain,
% 42.61/28.28 (v100(constB158)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26370, 25972, 25535])).
% 42.61/28.28 tff(26372,plain,
% 42.61/28.28 (v129(constB158, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25542, 26371])).
% 42.61/28.28 tff(26373,plain,
% 42.61/28.28 (v127(constB157, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25533, 26372])).
% 42.61/28.28 tff(26374,plain,
% 42.61/28.28 (v130(constB157, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25525, 26373])).
% 42.61/28.28 tff(26375,plain,
% 42.61/28.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB157)) | (~v130(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB157)) | (~v130(constB157, bitIndex0)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26376,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB157)) | (~v130(constB157, bitIndex0)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26377,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB157)) | (~v130(constB157, bitIndex0))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26376, 26375])).
% 42.61/28.28 tff(26378,plain,
% 42.61/28.28 ($false),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26377, 1208, 26374, 26363])).
% 42.61/28.28 tff(26379,plain,(v90(constB157, bitIndex0) | (~v90(constB158, bitIndex0)) | (~v90(constB158, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.61/28.28 tff(26380,plain,
% 42.61/28.28 (v90(constB157, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26379, 26147, 25908])).
% 42.61/28.28 tff(26381,plain,
% 42.61/28.28 (v90(constB156, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25970, 26380])).
% 42.61/28.28 tff(26382,plain,
% 42.61/28.28 (v90(constB156, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25490, 25986])).
% 42.61/28.28 tff(26383,assumption,(v90(constB156, bitIndex0)), introduced(assumption)).
% 42.61/28.28 tff(26384,assumption,(v90(constB158, bitIndex1)), introduced(assumption)).
% 42.61/28.28 tff(26385,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB157, bitIndex1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB157, bitIndex1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex1)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26386,plain,
% 42.61/28.28 (((~nextState(constB157, constB158)) | v90(constB157, bitIndex1) | v100(constB158) | (~v90(constB158, bitIndex1))) <=> (v90(constB157, bitIndex1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex1)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26387,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex1) | v100(constB158) | (~v90(constB158, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB157, bitIndex1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex1))))),
% 42.61/28.28 inference(monotonicity,[status(thm)],[26386])).
% 42.61/28.28 tff(26388,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex1) | v100(constB158) | (~v90(constB158, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB157, bitIndex1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex1)))),
% 42.61/28.28 inference(transitivity,[status(thm)],[26387, 26385])).
% 42.61/28.28 tff(26389,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v90(constB157, bitIndex1) | v100(constB158) | (~v90(constB158, bitIndex1)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26390,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB157, bitIndex1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, bitIndex1))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26389, 26388])).
% 42.61/28.28 tff(26391,plain,
% 42.61/28.28 (v90(constB157, bitIndex1) | v100(constB158) | (~v90(constB158, bitIndex1))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26390, 444, 25529])).
% 42.61/28.28 tff(26392,plain,
% 42.61/28.28 (v90(constB157, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26391, 25978, 26384])).
% 42.61/28.28 tff(26393,plain,
% 42.61/28.28 (v90(constB156, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25459, 26392])).
% 42.61/28.28 tff(26394,assumption,(v100(constB156)), introduced(assumption)).
% 42.61/28.28 tff(26395,assumption,(v90(constB156, bitIndex2)), introduced(assumption)).
% 42.61/28.28 tff(26396,plain,
% 42.61/28.28 (v129(constB156, bitIndex2) | (~v100(constB156))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25480, 1452, 26395])).
% 42.61/28.28 tff(26397,plain,
% 42.61/28.28 (v129(constB156, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26396, 26394])).
% 42.61/28.28 tff(26398,plain,
% 42.61/28.28 (v127(constB155, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25476, 26397])).
% 42.61/28.28 tff(26399,plain,
% 42.61/28.28 (v130(constB155, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25471, 26398])).
% 42.61/28.28 tff(26400,plain,
% 42.61/28.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB155)) | (~v130(constB155, bitIndex2)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26401,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex2)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26402,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB155)) | (~v130(constB155, bitIndex2))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26401, 26400])).
% 42.61/28.28 tff(26403,plain,
% 42.61/28.28 (~v124(constB155)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26402, 3868, 26399])).
% 42.61/28.28 tff(26404,plain,
% 42.61/28.28 (v129(constB156, bitIndex0) | (~v100(constB156))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25294, 952, 26383])).
% 42.61/28.28 tff(26405,plain,
% 42.61/28.28 (v129(constB156, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26404, 26394])).
% 42.61/28.28 tff(26406,plain,
% 42.61/28.28 (v127(constB155, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25300, 26405])).
% 42.61/28.28 tff(26407,plain,
% 42.61/28.28 (v130(constB155, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25308, 26406])).
% 42.61/28.28 tff(26408,plain,
% 42.61/28.28 (~v122(constB155)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25316, 2327, 26407])).
% 42.61/28.28 tff(26409,assumption,(v90(constB156, bitIndex1)), introduced(assumption)).
% 42.61/28.28 tff(26410,plain,
% 42.61/28.28 (v129(constB156, bitIndex1) | (~v100(constB156))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25431, 868, 26409])).
% 42.61/28.28 tff(26411,plain,
% 42.61/28.28 (v129(constB156, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26410, 26394])).
% 42.61/28.28 tff(26412,plain,
% 42.61/28.28 (v127(constB155, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25424, 26411])).
% 42.61/28.28 tff(26413,plain,
% 42.61/28.28 (v130(constB155, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25419, 26412])).
% 42.61/28.28 tff(26414,plain,
% 42.61/28.28 (~v125(constB156)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25324, 24242, 26383])).
% 42.61/28.28 tff(26415,plain,
% 42.61/28.28 (~v123(constB155)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25407, 26414])).
% 42.61/28.28 tff(26416,plain,
% 42.61/28.28 (~v119(constB155)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25312, 893, 26407])).
% 42.61/28.28 tff(26417,plain,
% 42.61/28.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB155)) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB155)) | (~v130(constB155, bitIndex2)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26418,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB155)) | (~v130(constB155, bitIndex2)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26419,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB155)) | (~v130(constB155, bitIndex2))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26418, 26417])).
% 42.61/28.28 tff(26420,plain,
% 42.61/28.28 (~v121(constB155)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26419, 1990, 26399])).
% 42.61/28.28 tff(26421,plain,
% 42.61/28.28 (v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25411, 1494, 22437])).
% 42.61/28.28 tff(26422,plain,
% 42.61/28.28 ($false),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26421, 26420, 26416, 26415, 26413, 26408, 26403])).
% 42.61/28.28 tff(26423,plain,((~v100(constB156)) | v120(constB155) | (~v90(constB156, bitIndex2)) | (~v90(constB156, bitIndex1)) | (~v90(constB156, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.61/28.28 tff(26424,plain,
% 42.61/28.28 (~v100(constB156)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26423, 26382, 22437, 26393, 26383])).
% 42.61/28.28 tff(26425,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB155, bitIndex2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB155, bitIndex2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex2)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26426,plain,
% 42.61/28.28 (((~nextState(constB155, constB156)) | v90(constB155, bitIndex2) | v100(constB156) | (~v90(constB156, bitIndex2))) <=> (v90(constB155, bitIndex2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex2)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26427,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v90(constB155, bitIndex2) | v100(constB156) | (~v90(constB156, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB155, bitIndex2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex2))))),
% 42.61/28.28 inference(monotonicity,[status(thm)],[26426])).
% 42.61/28.28 tff(26428,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v90(constB155, bitIndex2) | v100(constB156) | (~v90(constB156, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB155, bitIndex2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex2)))),
% 42.61/28.28 inference(transitivity,[status(thm)],[26427, 26425])).
% 42.61/28.28 tff(26429,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v90(constB155, bitIndex2) | v100(constB156) | (~v90(constB156, bitIndex2)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26430,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB155, bitIndex2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex2))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26429, 26428])).
% 42.61/28.28 tff(26431,plain,
% 42.61/28.28 (v90(constB155, bitIndex2) | v100(constB156) | (~v90(constB156, bitIndex2))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26430, 423, 25211])).
% 42.61/28.28 tff(26432,plain,
% 42.61/28.28 (v90(constB155, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26431, 26424, 26382])).
% 42.61/28.28 tff(26433,plain,
% 42.61/28.28 (v90(constB154, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22255, 26432])).
% 42.61/28.28 tff(26434,plain,
% 42.61/28.28 (v90(constB155, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25287, 26424, 26383])).
% 42.61/28.28 tff(26435,plain,
% 42.61/28.28 (v90(constB154, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25166, 26434])).
% 42.61/28.28 tff(26436,plain,
% 42.61/28.28 (~v122(constB149)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22443, 22437])).
% 42.61/28.28 tff(26437,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB155, bitIndex1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB155, bitIndex1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex1)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26438,plain,
% 42.61/28.28 (((~nextState(constB155, constB156)) | v90(constB155, bitIndex1) | v100(constB156) | (~v90(constB156, bitIndex1))) <=> (v90(constB155, bitIndex1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex1)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26439,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v90(constB155, bitIndex1) | v100(constB156) | (~v90(constB156, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB155, bitIndex1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex1))))),
% 42.61/28.28 inference(monotonicity,[status(thm)],[26438])).
% 42.61/28.28 tff(26440,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v90(constB155, bitIndex1) | v100(constB156) | (~v90(constB156, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB155, bitIndex1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex1)))),
% 42.61/28.28 inference(transitivity,[status(thm)],[26439, 26437])).
% 42.61/28.28 tff(26441,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v90(constB155, bitIndex1) | v100(constB156) | (~v90(constB156, bitIndex1)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26442,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB155, bitIndex1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, bitIndex1))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26441, 26440])).
% 42.61/28.28 tff(26443,plain,
% 42.61/28.28 (v90(constB155, bitIndex1) | v100(constB156) | (~v90(constB156, bitIndex1))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26442, 444, 25211])).
% 42.61/28.28 tff(26444,plain,
% 42.61/28.28 (v90(constB155, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26443, 26424, 26393])).
% 42.61/28.28 tff(26445,plain,
% 42.61/28.28 (v90(constB154, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22404, 26444])).
% 42.61/28.28 tff(26446,plain,
% 42.61/28.28 (v100(constB154)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25055, 26445, 26436, 26435, 26433])).
% 42.61/28.28 tff(26447,plain,
% 42.61/28.28 (v129(constB154, bitIndex1) | (~v100(constB154))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22394, 868, 26445])).
% 42.61/28.28 tff(26448,plain,
% 42.61/28.28 (v129(constB154, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26447, 26446])).
% 42.61/28.28 tff(26449,plain,
% 42.61/28.28 (v127(constB153, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22387, 26448])).
% 42.61/28.28 tff(26450,plain,
% 42.61/28.28 (v130(constB153, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22382, 26449])).
% 42.61/28.28 tff(26451,plain,
% 42.61/28.28 (~v122(constB153)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22260, 2281, 26450])).
% 42.61/28.28 tff(26452,plain,
% 42.61/28.28 (v129(constB154, bitIndex2) | (~v100(constB154))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22245, 1452, 26433])).
% 42.61/28.28 tff(26453,plain,
% 42.61/28.28 (v129(constB154, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26452, 26446])).
% 42.61/28.28 tff(26454,plain,
% 42.61/28.28 (v127(constB153, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22241, 26453])).
% 42.61/28.28 tff(26455,plain,
% 42.61/28.28 (v130(constB153, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22236, 26454])).
% 42.61/28.28 tff(26456,plain,
% 42.61/28.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB153)) | (~v130(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB153)) | (~v130(constB153, bitIndex2)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26457,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB153)) | (~v130(constB153, bitIndex2)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26458,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB153)) | (~v130(constB153, bitIndex2))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26457, 26456])).
% 42.61/28.28 tff(26459,plain,
% 42.61/28.28 (~v121(constB153)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26458, 1990, 26455])).
% 42.61/28.28 tff(26460,plain,
% 42.61/28.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB153)) | (~v130(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB153)) | (~v130(constB153, bitIndex2)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26461,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB153)) | (~v130(constB153, bitIndex2)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26462,plain,
% 42.61/28.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB153)) | (~v130(constB153, bitIndex2))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26461, 26460])).
% 42.61/28.28 tff(26463,plain,
% 42.61/28.28 (~v124(constB153)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26462, 3868, 26455])).
% 42.61/28.28 tff(26464,plain,
% 42.61/28.28 (~v119(constB153)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22264, 809, 26450])).
% 42.61/28.28 tff(26465,plain,
% 42.61/28.28 (v129(constB154, bitIndex0) | (~v100(constB154))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25156, 952, 26435])).
% 42.61/28.28 tff(26466,plain,
% 42.61/28.28 (v129(constB154, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26465, 26446])).
% 42.61/28.28 tff(26467,plain,
% 42.61/28.28 (v127(constB153, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25149, 26466])).
% 42.61/28.28 tff(26468,plain,
% 42.61/28.28 (v130(constB153, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25144, 26467])).
% 42.61/28.28 tff(26469,plain,
% 42.61/28.28 (~v120(constB153)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26184, 1826, 26468])).
% 42.61/28.28 tff(26470,plain,
% 42.61/28.28 (~v130(constB155, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25463, 1405, 25199, 22437, 25194, 25193, 25189, 25185])).
% 42.61/28.28 tff(26471,plain,
% 42.61/28.28 (~v127(constB155, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25471, 26470])).
% 42.61/28.28 tff(26472,plain,
% 42.61/28.28 (~v129(constB156, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25476, 26471])).
% 42.61/28.28 tff(26473,plain,
% 42.61/28.28 ((~v90(constB156, bitIndex2)) | (~v100(constB156))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25480, 1452, 26472])).
% 42.61/28.28 tff(26474,plain,
% 42.61/28.28 (~v90(constB156, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26473, 25668])).
% 42.61/28.28 tff(26475,plain,
% 42.61/28.28 (~v90(constB157, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25490, 26474])).
% 42.61/28.28 tff(26476,plain,
% 42.61/28.28 (~v130(constB155, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25411, 1494, 25199, 22437, 25194, 25193, 25189, 25185])).
% 42.61/28.28 tff(26477,plain,
% 42.61/28.28 (~v127(constB155, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25419, 26476])).
% 42.61/28.28 tff(26478,plain,
% 42.61/28.28 (~v129(constB156, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25424, 26477])).
% 42.61/28.28 tff(26479,plain,
% 42.61/28.28 ((~v90(constB156, bitIndex1)) | (~v100(constB156))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25431, 868, 26478])).
% 42.61/28.28 tff(26480,plain,
% 42.61/28.28 (~v90(constB156, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26479, 25668])).
% 42.61/28.28 tff(26481,plain,
% 42.61/28.28 (~v90(constB157, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25459, 26480])).
% 42.61/28.28 tff(26482,plain,
% 42.61/28.28 (v130(constB155, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25202, 1538, 25199, 22437, 25194, 25193, 25189, 25185])).
% 42.61/28.28 tff(26483,plain,
% 42.61/28.28 (v127(constB155, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25207, 26482])).
% 42.61/28.28 tff(26484,plain,
% 42.61/28.28 (v129(constB156, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25215, 26483])).
% 42.61/28.28 tff(26485,plain,
% 42.61/28.28 (v90(constB156, bitIndex0) | (~v100(constB156))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25223, 1582, 26484])).
% 42.61/28.28 tff(26486,plain,
% 42.61/28.28 (v90(constB156, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26485, 25668])).
% 42.61/28.28 tff(26487,plain,
% 42.61/28.28 (v90(constB157, bitIndex0)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25499, 26486])).
% 42.61/28.28 tff(26488,plain,
% 42.61/28.28 (v120(constB157)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25503, 1619, 26487, 26481, 26475])).
% 42.61/28.28 tff(26489,plain,
% 42.61/28.28 (v100(constB158)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26391, 26481, 26384])).
% 42.61/28.28 tff(26490,plain,
% 42.61/28.28 (v129(constB158, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25701, 26489])).
% 42.61/28.28 tff(26491,plain,
% 42.61/28.28 (v127(constB157, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25706, 26490])).
% 42.61/28.28 tff(26492,plain,
% 42.61/28.28 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25714, 1419, 25594])).
% 42.61/28.28 tff(26493,plain,
% 42.61/28.28 (v130(constB157, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26492, 26491])).
% 42.61/28.28 tff(26494,plain,
% 42.61/28.28 ($false),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25719, 1732, 26493, 26488])).
% 42.61/28.28 tff(26495,plain,((~v123(constB153)) | (~v90(constB158, bitIndex2)) | (~v90(constB158, bitIndex1)) | v120(constB155)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.28 tff(26496,plain,
% 42.61/28.28 (~v123(constB153)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26495, 25697, 26384, 22437])).
% 42.61/28.28 tff(26497,plain,
% 42.61/28.28 (v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v124(constB153) | (~v130(constB153, bitIndex1))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[22337, 1494, 26496])).
% 42.61/28.28 tff(26498,plain,
% 42.61/28.28 ($false),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26497, 26469, 26464, 26450, 26463, 26459, 26451])).
% 42.61/28.28 tff(26499,plain,(v100(constB158) | (~v90(constB156, bitIndex0)) | v120(constB155) | (~v90(constB158, bitIndex2)) | (~v90(constB158, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 42.61/28.28 tff(26500,plain,
% 42.61/28.28 (v100(constB158)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26499, 26381, 26137, 25908, 25898])).
% 42.61/28.28 tff(26501,plain,
% 42.61/28.28 (v129(constB158, bitIndex2) | (~v100(constB158))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25700, 1452, 25908])).
% 42.61/28.28 tff(26502,plain,
% 42.61/28.28 (v129(constB158, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26501, 26500])).
% 42.61/28.28 tff(26503,plain,
% 42.61/28.28 (v127(constB157, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25706, 26502])).
% 42.61/28.28 tff(26504,plain,
% 42.61/28.28 (v130(constB157, bitIndex2)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26492, 26503])).
% 42.61/28.28 tff(26505,plain,
% 42.61/28.28 (~v120(constB157)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[25719, 1732, 26504])).
% 42.61/28.28 tff(26506,plain,
% 42.61/28.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26507,plain,
% 42.61/28.28 (((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26508,plain,
% 42.61/28.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))))),
% 42.61/28.28 inference(monotonicity,[status(thm)],[26507])).
% 42.61/28.28 tff(26509,plain,
% 42.61/28.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 42.61/28.28 inference(transitivity,[status(thm)],[26508, 26506])).
% 42.61/28.28 tff(26510,plain,
% 42.61/28.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26511,plain,
% 42.61/28.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26510, 26509])).
% 42.61/28.28 tff(26512,plain,
% 42.61/28.28 (v129(constB158, bitIndex1) | (~v100(constB158))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26511, 868, 25898])).
% 42.61/28.28 tff(26513,plain,
% 42.61/28.28 (v129(constB158, bitIndex1)),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26512, 26500])).
% 42.61/28.28 tff(26514,plain,
% 42.61/28.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 42.61/28.28 inference(rewrite,[status(thm)],[])).
% 42.61/28.28 tff(26515,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 42.61/28.28 inference(quant_inst,[status(thm)],[])).
% 42.61/28.28 tff(26516,plain,
% 42.61/28.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 42.61/28.28 inference(modus_ponens,[status(thm)],[26515, 26514])).
% 42.61/28.28 tff(26517,plain,
% 42.61/28.28 (v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 42.61/28.28 inference(unit_resolution,[status(thm)],[26516, 853, 25529])).
% 42.61/28.29 tff(26518,plain,
% 42.61/28.29 (v127(constB157, bitIndex1)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26517, 26513])).
% 42.61/28.29 tff(26519,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26520,plain,
% 42.61/28.29 ((v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1))) <=> ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26521,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)))),
% 42.61/28.29 inference(monotonicity,[status(thm)],[26520])).
% 42.61/28.29 tff(26522,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 42.61/28.29 inference(transitivity,[status(thm)],[26521, 26519])).
% 42.61/28.29 tff(26523,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26524,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26523, 26522])).
% 42.61/28.29 tff(26525,plain,
% 42.61/28.29 ((~v127(constB157, bitIndex1)) | v130(constB157, bitIndex1)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26524, 823, 25594])).
% 42.61/28.29 tff(26526,plain,
% 42.61/28.29 (v130(constB157, bitIndex1)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26525, 26518])).
% 42.61/28.29 tff(26527,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB157)) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB157)) | (~v130(constB157, bitIndex1)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26528,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB157)) | (~v130(constB157, bitIndex1)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26529,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB157)) | (~v130(constB157, bitIndex1))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26528, 26527])).
% 42.61/28.29 tff(26530,plain,
% 42.61/28.29 (~v122(constB157)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26529, 2281, 26526])).
% 42.61/28.29 tff(26531,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB157)) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB157)) | (~v130(constB157, bitIndex2)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26532,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB157)) | (~v130(constB157, bitIndex2)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26533,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB157)) | (~v130(constB157, bitIndex2))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26532, 26531])).
% 42.61/28.29 tff(26534,plain,
% 42.61/28.29 (~v124(constB157)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26533, 3868, 26504])).
% 42.61/28.29 tff(26535,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB157)) | (~v90(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB157)) | (~v90(constB157, bitIndex0)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26536,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v121(constB157)) | (~v90(constB157, bitIndex0)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26537,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v121(constB157)) | (~v90(constB157, bitIndex0))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26536, 26535])).
% 42.61/28.29 tff(26538,plain,
% 42.61/28.29 (~v121(constB157)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26537, 11039, 26380])).
% 42.61/28.29 tff(26539,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB157)) | (~v90(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB157)) | (~v90(constB157, bitIndex0)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26540,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v123(constB157)) | (~v90(constB157, bitIndex0)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26541,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v123(constB157)) | (~v90(constB157, bitIndex0))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26540, 26539])).
% 42.61/28.29 tff(26542,plain,
% 42.61/28.29 (~v123(constB157)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26541, 11057, 26380])).
% 42.61/28.29 tff(26543,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB157)) | (~v90(constB157, bitIndex0)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26544,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex0)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26545,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex0)))) | (~v119(constB157)) | (~v90(constB157, bitIndex0))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 42.61/28.29 tff(26546,plain,
% 42.61/28.29 (~v119(constB157)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26545, 11028, 26380])).
% 42.61/28.29 tff(26547,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26548,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26549,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26548, 26547])).
% 42.61/28.29 tff(26550,plain,
% 42.61/28.29 (v120(constB157) | v122(constB157) | v124(constB157) | (~v130(constB157, bitIndex1))),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26549, 1494, 26546, 26542, 26538])).
% 42.61/28.29 tff(26551,plain,
% 42.61/28.29 ($false),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26550, 26534, 26530, 26526, 26505])).
% 42.61/28.29 tff(26552,plain,(v113(constB159)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.29 tff(26553,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26554,plain,
% 42.61/28.29 ((v26(constB159) | (~v113(constB159)) | v112(constB159)) <=> (v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26555,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159))))),
% 42.61/28.29 inference(monotonicity,[status(thm)],[26554])).
% 42.61/28.29 tff(26556,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 42.61/28.29 inference(transitivity,[status(thm)],[26555, 26553])).
% 42.61/28.29 tff(26557,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26558,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26557, 26556])).
% 42.61/28.29 tff(26559,plain,
% 42.61/28.29 (v112(constB159) | (~v113(constB159))),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26558, 581, 25788])).
% 42.61/28.29 tff(26560,plain,
% 42.61/28.29 (v112(constB159)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26559, 26552])).
% 42.61/28.29 tff(26561,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26562,plain,
% 42.61/28.29 (((~v112(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v112(constB159)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26563,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159))))),
% 42.61/28.29 inference(monotonicity,[status(thm)],[26562])).
% 42.61/28.29 tff(26564,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 42.61/28.29 inference(transitivity,[status(thm)],[26563, 26561])).
% 42.61/28.29 tff(26565,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26566,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26565, 26564])).
% 42.61/28.29 tff(26567,plain,
% 42.61/28.29 (v108(constB159)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26566, 746, 26560])).
% 42.61/28.29 tff(26568,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26569,plain,
% 42.61/28.29 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26570,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 42.61/28.29 inference(monotonicity,[status(thm)],[26569])).
% 42.61/28.29 tff(26571,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 42.61/28.29 inference(transitivity,[status(thm)],[26570, 26568])).
% 42.61/28.29 tff(26572,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26573,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26572, 26571])).
% 42.61/28.29 tff(26574,plain,
% 42.61/28.29 (v110(constB160) | (~v108(constB159))),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26573, 731, 25799])).
% 42.61/28.29 tff(26575,plain,
% 42.61/28.29 (v110(constB160)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26574, 26567])).
% 42.61/28.29 tff(26576,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26577,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26578,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26577, 26576])).
% 42.61/28.29 tff(26579,plain,
% 42.61/28.29 (~v104(constB160)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26578, 659, 25799, 25637])).
% 42.61/28.29 tff(26580,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26581,plain,
% 42.61/28.29 (((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)) <=> ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26582,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160)))),
% 42.61/28.29 inference(monotonicity,[status(thm)],[26581])).
% 42.61/28.29 tff(26583,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 42.61/28.29 inference(transitivity,[status(thm)],[26582, 26580])).
% 42.61/28.29 tff(26584,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26585,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160)),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26584, 26583])).
% 42.61/28.29 tff(26586,plain,
% 42.61/28.29 (v104(constB160) | v102(constB160)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26585, 673, 25799])).
% 42.61/28.29 tff(26587,plain,
% 42.61/28.29 (v102(constB160)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26586, 26579])).
% 42.61/28.29 tff(26588,plain,
% 42.61/28.29 (v1(constB160) <=> v1(constB160)),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26589,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 42.61/28.29 tff(26590,plain,
% 42.61/28.29 (v1(constB160)),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26589, 26588])).
% 42.61/28.29 tff(26591,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26592,plain,
% 42.61/28.29 (((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))) <=> ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26593,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160))))),
% 42.61/28.29 inference(monotonicity,[status(thm)],[26592])).
% 42.61/28.29 tff(26594,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 42.61/28.29 inference(transitivity,[status(thm)],[26593, 26591])).
% 42.61/28.29 tff(26595,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26596,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26595, 26594])).
% 42.61/28.29 tff(26597,plain,
% 42.61/28.29 (v101(constB160) | (~v102(constB160))),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26596, 694, 25799, 26590])).
% 42.61/28.29 tff(26598,plain,
% 42.61/28.29 (v101(constB160)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26597, 26587])).
% 42.61/28.29 tff(26599,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26600,plain,
% 42.61/28.29 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26601,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 42.61/28.29 inference(monotonicity,[status(thm)],[26600])).
% 42.61/28.29 tff(26602,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 42.61/28.29 inference(transitivity,[status(thm)],[26601, 26599])).
% 42.61/28.29 tff(26603,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26604,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26603, 26602])).
% 42.61/28.29 tff(26605,plain,
% 42.61/28.29 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26604, 712, 25799])).
% 42.61/28.29 tff(26606,plain,
% 42.61/28.29 (v100(constB160) | (~v110(constB160))),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26605, 26598])).
% 42.61/28.29 tff(26607,plain,
% 42.61/28.29 (v100(constB160)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26606, 26575])).
% 42.61/28.29 tff(26608,plain,
% 42.61/28.29 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26609,plain,
% 42.61/28.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26610,plain,
% 42.61/28.29 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26609, 26608])).
% 42.61/28.29 tff(26611,plain,
% 42.61/28.29 ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26610, 1452, 26607])).
% 42.61/28.29 tff(26612,plain,
% 42.61/28.29 (~v90(constB160, bitIndex2)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26611, 25804])).
% 42.61/28.29 tff(26613,plain,
% 42.61/28.29 ((~v1(constB161)) <=> (~v1(constB161))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26614,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 42.61/28.29 tff(26615,plain,
% 42.61/28.29 (~v1(constB161)),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26614, 26613])).
% 42.61/28.29 tff(26616,plain,
% 42.61/28.29 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26617,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 42.61/28.29 tff(26618,plain,
% 42.61/28.29 (nextState(constB160, constB161)),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26617, 26616])).
% 42.61/28.29 tff(26619,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26620,plain,
% 42.61/28.29 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26621,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 42.61/28.29 inference(monotonicity,[status(thm)],[26620])).
% 42.61/28.29 tff(26622,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 42.61/28.29 inference(transitivity,[status(thm)],[26621, 26619])).
% 42.61/28.29 tff(26623,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26624,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26623, 26622])).
% 42.61/28.29 tff(26625,plain,
% 42.61/28.29 (~v101(constB161)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26624, 391, 26618, 26615])).
% 42.61/28.29 tff(26626,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26627,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26628,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26627, 26626])).
% 42.61/28.29 tff(26629,plain,
% 42.61/28.29 (v101(constB161) | (~v100(constB161))),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26628, 408, 26618])).
% 42.61/28.29 tff(26630,plain,
% 42.61/28.29 (~v100(constB161)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26629, 26625])).
% 42.61/28.29 tff(26631,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26632,plain,
% 42.61/28.29 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26633,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))))),
% 42.61/28.29 inference(monotonicity,[status(thm)],[26632])).
% 42.61/28.29 tff(26634,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 42.61/28.29 inference(transitivity,[status(thm)],[26633, 26631])).
% 42.61/28.29 tff(26635,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26636,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26635, 26634])).
% 42.61/28.29 tff(26637,plain,
% 42.61/28.29 (v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26636, 423, 26618])).
% 42.61/28.29 tff(26638,plain,
% 42.61/28.29 (v90(constB160, bitIndex2) | (~v90(constB161, bitIndex2))),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26637, 26630])).
% 42.61/28.29 tff(26639,plain,
% 42.61/28.29 (~v90(constB161, bitIndex2)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26638, 26612])).
% 42.61/28.29 tff(26640,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB159)) | v130(constB159, bitIndex1))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26641,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB159)) | v130(constB159, bitIndex1))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26642,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB159)) | v130(constB159, bitIndex1)),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26641, 26640])).
% 42.61/28.29 tff(26643,plain,
% 42.61/28.29 (v130(constB159, bitIndex1)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26642, 2050, 25780])).
% 42.61/28.29 tff(26644,plain,
% 42.61/28.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26645,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26646,plain,
% 42.61/28.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26645, 26644])).
% 42.61/28.29 tff(26647,plain,
% 42.61/28.29 ((~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26646, 1144, 25788])).
% 42.61/28.29 tff(26648,plain,
% 42.61/28.29 (v127(constB159, bitIndex1)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26647, 26643])).
% 42.61/28.29 tff(26649,plain,
% 42.61/28.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26650,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 42.61/28.29 inference(quant_inst,[status(thm)],[])).
% 42.61/28.29 tff(26651,plain,
% 42.61/28.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 42.61/28.29 inference(modus_ponens,[status(thm)],[26650, 26649])).
% 42.61/28.29 tff(26652,plain,
% 42.61/28.29 ((~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26651, 1159, 25799])).
% 42.61/28.29 tff(26653,plain,
% 42.61/28.29 (v129(constB160, bitIndex1)),
% 42.61/28.29 inference(unit_resolution,[status(thm)],[26652, 26648])).
% 42.61/28.29 tff(26654,plain,
% 42.61/28.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26655,plain,
% 42.61/28.29 ((v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 42.61/28.29 inference(rewrite,[status(thm)],[])).
% 42.61/28.29 tff(26656,plain,
% 42.61/28.29 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26655])).
% 42.61/28.30 tff(26657,plain,
% 42.61/28.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26656, 26654])).
% 42.61/28.30 tff(26658,plain,
% 42.61/28.30 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26659,plain,
% 42.61/28.30 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26658, 26657])).
% 42.61/28.30 tff(26660,plain,
% 42.61/28.30 (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1))),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26659, 1174, 26607])).
% 42.61/28.30 tff(26661,plain,
% 42.61/28.30 (v90(constB160, bitIndex1)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26660, 26653])).
% 42.61/28.30 tff(26662,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26663,plain,
% 42.61/28.30 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26664,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26663])).
% 42.61/28.30 tff(26665,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26664, 26662])).
% 42.61/28.30 tff(26666,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26667,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26666, 26665])).
% 42.61/28.30 tff(26668,plain,
% 42.61/28.30 ((~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26667, 1192, 26618])).
% 42.61/28.30 tff(26669,plain,
% 42.61/28.30 ((~v90(constB160, bitIndex1)) | v90(constB161, bitIndex1)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26668, 26630])).
% 42.61/28.30 tff(26670,plain,
% 42.61/28.30 (v90(constB161, bitIndex1)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26669, 26661])).
% 42.61/28.30 tff(26671,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26672,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26673,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26672, 26671])).
% 42.61/28.30 tff(26674,plain,
% 42.61/28.30 (v130(constB159, bitIndex0)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26673, 2088, 25780])).
% 42.61/28.30 tff(26675,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26676,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26677,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26676, 26675])).
% 42.61/28.30 tff(26678,plain,
% 42.61/28.30 ((~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26677, 1552, 25788])).
% 42.61/28.30 tff(26679,plain,
% 42.61/28.30 (v127(constB159, bitIndex0)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26678, 26674])).
% 42.61/28.30 tff(26680,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26681,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26682,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26681, 26680])).
% 42.61/28.30 tff(26683,plain,
% 42.61/28.30 ((~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26682, 1567, 25799])).
% 42.61/28.30 tff(26684,plain,
% 42.61/28.30 (v129(constB160, bitIndex0)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26683, 26679])).
% 42.61/28.30 tff(26685,plain,
% 42.61/28.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26686,plain,
% 42.61/28.30 ((v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26687,plain,
% 42.61/28.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160))))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26686])).
% 42.61/28.30 tff(26688,plain,
% 42.61/28.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26687, 26685])).
% 42.61/28.30 tff(26689,plain,
% 42.61/28.30 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26690,plain,
% 42.61/28.30 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26689, 26688])).
% 42.61/28.30 tff(26691,plain,
% 42.61/28.30 (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0))),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26690, 1582, 26607])).
% 42.61/28.30 tff(26692,plain,
% 42.61/28.30 (v90(constB160, bitIndex0)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26691, 26684])).
% 42.61/28.30 tff(26693,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26694,plain,
% 42.61/28.30 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26695,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0)))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26694])).
% 42.61/28.30 tff(26696,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26695, 26693])).
% 42.61/28.30 tff(26697,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26698,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26697, 26696])).
% 42.61/28.30 tff(26699,plain,
% 42.61/28.30 ((~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26698, 1600, 26618])).
% 42.61/28.30 tff(26700,plain,
% 42.61/28.30 ((~v90(constB160, bitIndex0)) | v90(constB161, bitIndex0)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26699, 26630])).
% 42.61/28.30 tff(26701,plain,
% 42.61/28.30 (v90(constB161, bitIndex0)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26700, 26692])).
% 42.61/28.30 tff(26702,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26703,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26704,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26703, 26702])).
% 42.61/28.30 tff(26705,plain,
% 42.61/28.30 (v122(constB161)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26704, 2129, 26701, 26670, 26639])).
% 42.61/28.30 tff(26706,assumption,(~v100(constB162)), introduced(assumption)).
% 42.61/28.30 tff(26707,plain,
% 42.61/28.30 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26708,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 42.61/28.30 tff(26709,plain,
% 42.61/28.30 (nextState(constB161, constB162)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26708, 26707])).
% 42.61/28.30 tff(26710,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26711,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26712,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26711, 26710])).
% 42.61/28.30 tff(26713,plain,
% 42.61/28.30 (~v104(constB162)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26712, 659, 26709, 26615])).
% 42.61/28.30 tff(26714,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26715,plain,
% 42.61/28.30 (((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)) <=> ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26716,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162)))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26715])).
% 42.61/28.30 tff(26717,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26716, 26714])).
% 42.61/28.30 tff(26718,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26719,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26718, 26717])).
% 42.61/28.30 tff(26720,plain,
% 42.61/28.30 (v104(constB162) | v102(constB162)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26719, 673, 26709])).
% 42.61/28.30 tff(26721,plain,
% 42.61/28.30 (v102(constB162)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26720, 26713])).
% 42.61/28.30 tff(26722,plain,
% 42.61/28.30 (v1(constB162) <=> v1(constB162)),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26723,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 42.61/28.30 tff(26724,plain,
% 42.61/28.30 (v1(constB162)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26723, 26722])).
% 42.61/28.30 tff(26725,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26726,plain,
% 42.61/28.30 (((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))) <=> ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26727,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162))))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26726])).
% 42.61/28.30 tff(26728,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26727, 26725])).
% 42.61/28.30 tff(26729,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26730,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26729, 26728])).
% 42.61/28.30 tff(26731,plain,
% 42.61/28.30 (v101(constB162) | (~v102(constB162))),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26730, 694, 26709, 26724])).
% 42.61/28.30 tff(26732,plain,
% 42.61/28.30 (v101(constB162)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26731, 26721])).
% 42.61/28.30 tff(26733,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26734,plain,
% 42.61/28.30 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26735,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26734])).
% 42.61/28.30 tff(26736,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26735, 26733])).
% 42.61/28.30 tff(26737,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26738,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26737, 26736])).
% 42.61/28.30 tff(26739,plain,
% 42.61/28.30 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26738, 712, 26709])).
% 42.61/28.30 tff(26740,plain,
% 42.61/28.30 (v100(constB162) | (~v110(constB162))),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26739, 26732])).
% 42.61/28.30 tff(26741,plain,
% 42.61/28.30 (~v110(constB162)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26740, 26706])).
% 42.61/28.30 tff(26742,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26743,plain,
% 42.61/28.30 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26744,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26743])).
% 42.61/28.30 tff(26745,plain,
% 42.61/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26744, 26742])).
% 42.61/28.30 tff(26746,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26747,plain,
% 42.61/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26746, 26745])).
% 42.61/28.30 tff(26748,plain,
% 42.61/28.30 (v110(constB162) | (~v108(constB161))),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26747, 731, 26709])).
% 42.61/28.30 tff(26749,plain,
% 42.61/28.30 (~v108(constB161)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26748, 26741])).
% 42.61/28.30 tff(26750,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26751,plain,
% 42.61/28.30 (((~v112(constB161)) | v108(constB161)) <=> (v108(constB161) | (~v112(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26752,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161))))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26751])).
% 42.61/28.30 tff(26753,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26752, 26750])).
% 42.61/28.30 tff(26754,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26755,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26754, 26753])).
% 42.61/28.30 tff(26756,plain,
% 42.61/28.30 (~v112(constB161)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26755, 746, 26749])).
% 42.61/28.30 tff(26757,assumption,(v26(constB161)), introduced(assumption)).
% 42.61/28.30 tff(26758,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26759,plain,
% 42.61/28.30 ($false),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26758, 95, 26757])).
% 42.61/28.30 tff(26760,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 42.61/28.30 tff(26761,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26762,plain,
% 42.61/28.30 ((v26(constB161) | (~v113(constB161)) | v112(constB161)) <=> (v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26763,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161))))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26762])).
% 42.61/28.30 tff(26764,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26763, 26761])).
% 42.61/28.30 tff(26765,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26766,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26765, 26764])).
% 42.61/28.30 tff(26767,plain,
% 42.61/28.30 (v112(constB161) | (~v113(constB161))),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26766, 581, 26760])).
% 42.61/28.30 tff(26768,plain,
% 42.61/28.30 (~v113(constB161)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26767, 26756])).
% 42.61/28.30 tff(26769,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26770,plain,
% 42.61/28.30 (((~v114(constB161)) | v113(constB161)) <=> (v113(constB161) | (~v114(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26771,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161))))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26770])).
% 42.61/28.30 tff(26772,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26771, 26769])).
% 42.61/28.30 tff(26773,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26774,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26773, 26772])).
% 42.61/28.30 tff(26775,plain,
% 42.61/28.30 (~v114(constB161)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26774, 567, 26768])).
% 42.61/28.30 tff(26776,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26777,plain,
% 42.61/28.30 (((~v115(constB161)) | v114(constB161)) <=> (v114(constB161) | (~v115(constB161)))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26778,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161))))),
% 42.61/28.30 inference(monotonicity,[status(thm)],[26777])).
% 42.61/28.30 tff(26779,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 42.61/28.30 inference(transitivity,[status(thm)],[26778, 26776])).
% 42.61/28.30 tff(26780,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26781,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161))),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26780, 26779])).
% 42.61/28.30 tff(26782,plain,
% 42.61/28.30 (~v115(constB161)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26781, 553, 26775])).
% 42.61/28.30 tff(26783,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB161)) | v115(constB161))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26784,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB161)) | v115(constB161))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26785,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB161)) | v115(constB161)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 42.61/28.30 tff(26786,plain,
% 42.61/28.30 (~v123(constB161)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26785, 990, 26782])).
% 42.61/28.30 tff(26787,assumption,(v119(constB159)), introduced(assumption)).
% 42.61/28.30 tff(26788,plain,
% 42.61/28.30 (v118(constB159)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[25851, 500, 26787])).
% 42.61/28.30 tff(26789,plain,
% 42.61/28.30 (v117(constB159)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[25847, 511, 26788])).
% 42.61/28.30 tff(26790,plain,
% 42.61/28.30 (v116(constB159)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[25840, 525, 26789])).
% 42.61/28.30 tff(26791,plain,
% 42.61/28.30 (v115(constB159)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[25833, 539, 26790])).
% 42.61/28.30 tff(26792,plain,
% 42.61/28.30 (v114(constB159)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[25822, 553, 26791])).
% 42.61/28.30 tff(26793,plain,
% 42.61/28.30 (v113(constB159)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[25811, 567, 26792])).
% 42.61/28.30 tff(26794,plain,
% 42.61/28.30 (v112(constB159)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26559, 26793])).
% 42.61/28.30 tff(26795,plain,
% 42.61/28.30 (v108(constB159)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26566, 746, 26794])).
% 42.61/28.30 tff(26796,plain,
% 42.61/28.30 (v110(constB160)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26574, 26795])).
% 42.61/28.30 tff(26797,plain,
% 42.61/28.30 (v100(constB160)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26606, 26796])).
% 42.61/28.30 tff(26798,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB159)) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB159)) | v130(constB159, bitIndex2))),
% 42.61/28.30 inference(rewrite,[status(thm)],[])).
% 42.61/28.30 tff(26799,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB159)) | v130(constB159, bitIndex2))),
% 42.61/28.30 inference(quant_inst,[status(thm)],[])).
% 42.61/28.30 tff(26800,plain,
% 42.61/28.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB159)) | v130(constB159, bitIndex2)),
% 42.61/28.30 inference(modus_ponens,[status(thm)],[26799, 26798])).
% 42.61/28.30 tff(26801,plain,
% 42.61/28.30 (v130(constB159, bitIndex2)),
% 42.61/28.30 inference(unit_resolution,[status(thm)],[26800, 593, 26787])).
% 42.61/28.30 tff(26802,plain,
% 42.61/28.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB159) | (~v130(constB159, bitIndex2)) | v127(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB159) | (~v130(constB159, bitIndex2)) | v127(constB159, bitIndex2))),
% 42.71/28.30 inference(rewrite,[status(thm)],[])).
% 42.71/28.30 tff(26803,plain,
% 42.71/28.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB159) | (~v130(constB159, bitIndex2)) | v127(constB159, bitIndex2))),
% 42.71/28.30 inference(quant_inst,[status(thm)],[])).
% 42.71/28.30 tff(26804,plain,
% 42.71/28.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB159) | (~v130(constB159, bitIndex2)) | v127(constB159, bitIndex2)),
% 42.71/28.30 inference(modus_ponens,[status(thm)],[26803, 26802])).
% 42.71/28.30 tff(26805,plain,
% 42.71/28.30 ((~v130(constB159, bitIndex2)) | v127(constB159, bitIndex2)),
% 42.71/28.30 inference(unit_resolution,[status(thm)],[26804, 607, 25788])).
% 42.71/28.30 tff(26806,plain,
% 42.71/28.30 (v127(constB159, bitIndex2)),
% 42.71/28.30 inference(unit_resolution,[status(thm)],[26805, 26801])).
% 42.71/28.30 tff(26807,plain,
% 42.71/28.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex2)) | v129(constB160, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex2)) | v129(constB160, bitIndex2))),
% 42.71/28.30 inference(rewrite,[status(thm)],[])).
% 42.71/28.30 tff(26808,plain,
% 42.71/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex2)) | v129(constB160, bitIndex2))),
% 42.71/28.30 inference(quant_inst,[status(thm)],[])).
% 42.71/28.30 tff(26809,plain,
% 42.71/28.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex2)) | v129(constB160, bitIndex2)),
% 42.71/28.30 inference(modus_ponens,[status(thm)],[26808, 26807])).
% 42.71/28.30 tff(26810,plain,
% 42.71/28.30 ((~v127(constB159, bitIndex2)) | v129(constB160, bitIndex2)),
% 42.71/28.30 inference(unit_resolution,[status(thm)],[26809, 625, 25799])).
% 42.71/28.30 tff(26811,plain,
% 42.71/28.30 (v129(constB160, bitIndex2)),
% 42.71/28.30 inference(unit_resolution,[status(thm)],[26810, 26806])).
% 42.71/28.30 tff(26812,plain,
% 42.71/28.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~v129(constB160, bitIndex2)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~v129(constB160, bitIndex2)) | (~v100(constB160)))),
% 42.71/28.30 inference(rewrite,[status(thm)],[])).
% 42.71/28.30 tff(26813,plain,
% 42.71/28.30 ((v90(constB160, bitIndex2) | (~v100(constB160)) | (~v129(constB160, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~v129(constB160, bitIndex2)) | (~v100(constB160)))),
% 42.71/28.30 inference(rewrite,[status(thm)],[])).
% 42.71/28.30 tff(26814,plain,
% 42.71/28.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~v100(constB160)) | (~v129(constB160, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~v129(constB160, bitIndex2)) | (~v100(constB160))))),
% 42.71/28.30 inference(monotonicity,[status(thm)],[26813])).
% 42.71/28.30 tff(26815,plain,
% 42.71/28.30 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~v100(constB160)) | (~v129(constB160, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~v129(constB160, bitIndex2)) | (~v100(constB160)))),
% 42.71/28.31 inference(transitivity,[status(thm)],[26814, 26812])).
% 42.71/28.31 tff(26816,plain,
% 42.71/28.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~v100(constB160)) | (~v129(constB160, bitIndex2)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26817,plain,
% 42.71/28.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~v129(constB160, bitIndex2)) | (~v100(constB160))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26816, 26815])).
% 42.71/28.31 tff(26818,plain,
% 42.71/28.31 (v90(constB160, bitIndex2) | (~v100(constB160))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26817, 641, 26811])).
% 42.71/28.31 tff(26819,plain,
% 42.71/28.31 (v90(constB160, bitIndex2)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26818, 26797])).
% 42.71/28.31 tff(26820,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex2))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26821,plain,
% 42.71/28.31 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex2)) | v100(constB161) | v90(constB161, bitIndex2)) <=> ((~v90(constB160, bitIndex2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex2))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26822,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex2)) | v100(constB161) | v90(constB161, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex2)))),
% 42.71/28.31 inference(monotonicity,[status(thm)],[26821])).
% 42.71/28.31 tff(26823,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex2)) | v100(constB161) | v90(constB161, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex2))),
% 42.71/28.31 inference(transitivity,[status(thm)],[26822, 26820])).
% 42.71/28.31 tff(26824,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex2)) | v100(constB161) | v90(constB161, bitIndex2))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26825,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex2)),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26824, 26823])).
% 42.71/28.31 tff(26826,plain,
% 42.71/28.31 ((~v90(constB160, bitIndex2)) | v100(constB161) | v90(constB161, bitIndex2)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26825, 783, 26618])).
% 42.71/28.31 tff(26827,plain,
% 42.71/28.31 ((~v90(constB160, bitIndex2)) | v90(constB161, bitIndex2)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26826, 26630])).
% 42.71/28.31 tff(26828,plain,
% 42.71/28.31 (v90(constB161, bitIndex2)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26827, 26819])).
% 42.71/28.31 tff(26829,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB159)) | (~v130(constB159, bitIndex0)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26830,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB159)) | (~v130(constB159, bitIndex0)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26831,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB159)) | (~v130(constB159, bitIndex0))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26830, 26829])).
% 42.71/28.31 tff(26832,plain,
% 42.71/28.31 (~v130(constB159, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26831, 893, 26787])).
% 42.71/28.31 tff(26833,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26834,plain,
% 42.71/28.31 ((v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0))) <=> ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26835,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)))),
% 42.71/28.31 inference(monotonicity,[status(thm)],[26834])).
% 42.71/28.31 tff(26836,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 42.71/28.31 inference(transitivity,[status(thm)],[26835, 26833])).
% 42.71/28.31 tff(26837,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26838,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26837, 26836])).
% 42.71/28.31 tff(26839,plain,
% 42.71/28.31 ((~v127(constB159, bitIndex0)) | v130(constB159, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26838, 907, 25788])).
% 42.71/28.31 tff(26840,plain,
% 42.71/28.31 (~v127(constB159, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26839, 26832])).
% 42.71/28.31 tff(26841,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26842,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26843,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26842, 26841])).
% 42.71/28.31 tff(26844,plain,
% 42.71/28.31 (v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26843, 937, 25799])).
% 42.71/28.31 tff(26845,plain,
% 42.71/28.31 (~v129(constB160, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26844, 26840])).
% 42.71/28.31 tff(26846,plain,
% 42.71/28.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26847,plain,
% 42.71/28.31 (((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26848,plain,
% 42.71/28.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))))),
% 42.71/28.31 inference(monotonicity,[status(thm)],[26847])).
% 42.71/28.31 tff(26849,plain,
% 42.71/28.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 42.71/28.31 inference(transitivity,[status(thm)],[26848, 26846])).
% 42.71/28.31 tff(26850,plain,
% 42.71/28.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26851,plain,
% 42.71/28.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26850, 26849])).
% 42.71/28.31 tff(26852,plain,
% 42.71/28.31 ((~v90(constB160, bitIndex0)) | (~v100(constB160))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26851, 952, 26845])).
% 42.71/28.31 tff(26853,plain,
% 42.71/28.31 (~v90(constB160, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26852, 26797])).
% 42.71/28.31 tff(26854,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26855,plain,
% 42.71/28.31 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26856,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))))),
% 42.71/28.31 inference(monotonicity,[status(thm)],[26855])).
% 42.71/28.31 tff(26857,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 42.71/28.31 inference(transitivity,[status(thm)],[26856, 26854])).
% 42.71/28.31 tff(26858,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26859,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26858, 26857])).
% 42.71/28.31 tff(26860,plain,
% 42.71/28.31 (v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26859, 465, 26618])).
% 42.71/28.31 tff(26861,plain,
% 42.71/28.31 (v90(constB160, bitIndex0) | (~v90(constB161, bitIndex0))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26860, 26630])).
% 42.71/28.31 tff(26862,plain,
% 42.71/28.31 (~v90(constB161, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26861, 26853])).
% 42.71/28.31 tff(26863,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB159)) | (~v130(constB159, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB159)) | (~v130(constB159, bitIndex1)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26864,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB159)) | (~v130(constB159, bitIndex1)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26865,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB159)) | (~v130(constB159, bitIndex1))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26864, 26863])).
% 42.71/28.31 tff(26866,plain,
% 42.71/28.31 (~v130(constB159, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26865, 809, 26787])).
% 42.71/28.31 tff(26867,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26868,plain,
% 42.71/28.31 ((v26(constB159) | v130(constB159, bitIndex1) | (~v127(constB159, bitIndex1))) <=> ((~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26869,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB159) | v130(constB159, bitIndex1) | (~v127(constB159, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1)))),
% 42.71/28.31 inference(monotonicity,[status(thm)],[26868])).
% 42.71/28.31 tff(26870,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB159) | v130(constB159, bitIndex1) | (~v127(constB159, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1))),
% 42.71/28.31 inference(transitivity,[status(thm)],[26869, 26867])).
% 42.71/28.31 tff(26871,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB159) | v130(constB159, bitIndex1) | (~v127(constB159, bitIndex1)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26872,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB159, bitIndex1)) | v26(constB159) | v130(constB159, bitIndex1)),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26871, 26870])).
% 42.71/28.31 tff(26873,plain,
% 42.71/28.31 ((~v127(constB159, bitIndex1)) | v130(constB159, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26872, 823, 25788])).
% 42.71/28.31 tff(26874,plain,
% 42.71/28.31 (~v127(constB159, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26873, 26866])).
% 42.71/28.31 tff(26875,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26876,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26877,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26876, 26875])).
% 42.71/28.31 tff(26878,plain,
% 42.71/28.31 (v127(constB159, bitIndex1) | (~v129(constB160, bitIndex1))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26877, 853, 25799])).
% 42.71/28.31 tff(26879,plain,
% 42.71/28.31 (~v129(constB160, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26878, 26874])).
% 42.71/28.31 tff(26880,plain,
% 42.71/28.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26881,plain,
% 42.71/28.31 (((~v90(constB160, bitIndex1)) | (~v100(constB160)) | v129(constB160, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26882,plain,
% 42.71/28.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~v100(constB160)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160))))),
% 42.71/28.31 inference(monotonicity,[status(thm)],[26881])).
% 42.71/28.31 tff(26883,plain,
% 42.71/28.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~v100(constB160)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160)))),
% 42.71/28.31 inference(transitivity,[status(thm)],[26882, 26880])).
% 42.71/28.31 tff(26884,plain,
% 42.71/28.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~v100(constB160)) | v129(constB160, bitIndex1))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26885,plain,
% 42.71/28.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | v129(constB160, bitIndex1) | (~v100(constB160))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26884, 26883])).
% 42.71/28.31 tff(26886,plain,
% 42.71/28.31 ((~v90(constB160, bitIndex1)) | (~v100(constB160))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26885, 868, 26879])).
% 42.71/28.31 tff(26887,plain,
% 42.71/28.31 (~v90(constB160, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26886, 26797])).
% 42.71/28.31 tff(26888,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26889,plain,
% 42.71/28.31 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26890,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1))))),
% 42.71/28.31 inference(monotonicity,[status(thm)],[26889])).
% 42.71/28.31 tff(26891,plain,
% 42.71/28.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1)))),
% 42.71/28.31 inference(transitivity,[status(thm)],[26890, 26888])).
% 42.71/28.31 tff(26892,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26893,plain,
% 42.71/28.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex1))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26892, 26891])).
% 42.71/28.31 tff(26894,plain,
% 42.71/28.31 (v90(constB160, bitIndex1) | v100(constB161) | (~v90(constB161, bitIndex1))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26893, 444, 26618])).
% 42.71/28.31 tff(26895,plain,
% 42.71/28.31 (v90(constB160, bitIndex1) | (~v90(constB161, bitIndex1))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26894, 26630])).
% 42.71/28.31 tff(26896,plain,
% 42.71/28.31 (~v90(constB161, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26895, 26887])).
% 42.71/28.31 tff(26897,assumption,(~v123(constB161)), introduced(assumption)).
% 42.71/28.31 tff(26898,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v123(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v123(constB161))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26899,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v123(constB161))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26900,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2)) | v123(constB161)),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26899, 26898])).
% 42.71/28.31 tff(26901,plain,
% 42.71/28.31 (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | (~v90(constB161, bitIndex2))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26900, 979, 26897])).
% 42.71/28.31 tff(26902,plain,
% 42.71/28.31 ($false),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26901, 26896, 26862, 26828])).
% 42.71/28.31 tff(26903,plain,((~v119(constB159)) | v123(constB161)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.31 tff(26904,plain,
% 42.71/28.31 (~v119(constB159)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26903, 26786])).
% 42.71/28.31 tff(26905,assumption,(v122(constB159)), introduced(assumption)).
% 42.71/28.31 tff(26906,plain,
% 42.71/28.31 (v116(constB159)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[25905, 2140, 26905])).
% 42.71/28.31 tff(26907,plain,
% 42.71/28.31 (v115(constB159)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[25833, 539, 26906])).
% 42.71/28.31 tff(26908,plain,
% 42.71/28.31 (v114(constB159)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[25822, 553, 26907])).
% 42.71/28.31 tff(26909,plain,
% 42.71/28.31 (v113(constB159)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[25811, 567, 26908])).
% 42.71/28.31 tff(26910,plain,
% 42.71/28.31 (v112(constB159)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26559, 26909])).
% 42.71/28.31 tff(26911,plain,
% 42.71/28.31 (v108(constB159)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26566, 746, 26910])).
% 42.71/28.31 tff(26912,plain,
% 42.71/28.31 (v110(constB160)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26574, 26911])).
% 42.71/28.31 tff(26913,plain,
% 42.71/28.31 (v100(constB160)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26606, 26912])).
% 42.71/28.31 tff(26914,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB159)) | (~v130(constB159, bitIndex0)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26915,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB159)) | (~v130(constB159, bitIndex0)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26916,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB159)) | (~v130(constB159, bitIndex0))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26915, 26914])).
% 42.71/28.31 tff(26917,plain,
% 42.71/28.31 (~v130(constB159, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26916, 2327, 26905])).
% 42.71/28.31 tff(26918,plain,
% 42.71/28.31 (~v127(constB159, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26839, 26917])).
% 42.71/28.31 tff(26919,plain,
% 42.71/28.31 (~v129(constB160, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26844, 26918])).
% 42.71/28.31 tff(26920,plain,
% 42.71/28.31 ((~v90(constB160, bitIndex0)) | (~v100(constB160))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26851, 952, 26919])).
% 42.71/28.31 tff(26921,plain,
% 42.71/28.31 (~v90(constB160, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26920, 26913])).
% 42.71/28.31 tff(26922,plain,
% 42.71/28.31 (~v90(constB161, bitIndex0)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26861, 26921])).
% 42.71/28.31 tff(26923,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB159)) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB159)) | v130(constB159, bitIndex2))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26924,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB159)) | v130(constB159, bitIndex2))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26925,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB159)) | v130(constB159, bitIndex2)),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26924, 26923])).
% 42.71/28.31 tff(26926,plain,
% 42.71/28.31 (v130(constB159, bitIndex2)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26925, 2224, 26905])).
% 42.71/28.31 tff(26927,plain,
% 42.71/28.31 (v127(constB159, bitIndex2)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26805, 26926])).
% 42.71/28.31 tff(26928,plain,
% 42.71/28.31 (v129(constB160, bitIndex2)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26810, 26927])).
% 42.71/28.31 tff(26929,plain,
% 42.71/28.31 (v90(constB160, bitIndex2) | (~v100(constB160))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26817, 641, 26928])).
% 42.71/28.31 tff(26930,plain,
% 42.71/28.31 (v90(constB160, bitIndex2)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26929, 26913])).
% 42.71/28.31 tff(26931,plain,
% 42.71/28.31 (v90(constB161, bitIndex2)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26827, 26930])).
% 42.71/28.31 tff(26932,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB159)) | (~v130(constB159, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB159)) | (~v130(constB159, bitIndex1)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26933,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB159)) | (~v130(constB159, bitIndex1)))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26934,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB159)) | (~v130(constB159, bitIndex1))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26933, 26932])).
% 42.71/28.31 tff(26935,plain,
% 42.71/28.31 (~v130(constB159, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26934, 2281, 26905])).
% 42.71/28.31 tff(26936,plain,
% 42.71/28.31 (~v127(constB159, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26873, 26935])).
% 42.71/28.31 tff(26937,plain,
% 42.71/28.31 (~v129(constB160, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26878, 26936])).
% 42.71/28.31 tff(26938,plain,
% 42.71/28.31 ((~v90(constB160, bitIndex1)) | (~v100(constB160))),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26885, 868, 26937])).
% 42.71/28.31 tff(26939,plain,
% 42.71/28.31 (~v90(constB160, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26938, 26913])).
% 42.71/28.31 tff(26940,plain,
% 42.71/28.31 (~v90(constB161, bitIndex1)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26895, 26939])).
% 42.71/28.31 tff(26941,plain,
% 42.71/28.31 ($false),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26901, 26940, 26931, 26922])).
% 42.71/28.31 tff(26942,plain,((~v122(constB159)) | v123(constB161)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.31 tff(26943,plain,
% 42.71/28.31 (~v122(constB159)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26942, 26786])).
% 42.71/28.31 tff(26944,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26945,plain,
% 42.71/28.31 (((~v116(constB161)) | v115(constB161)) <=> (v115(constB161) | (~v116(constB161)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26946,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161))))),
% 42.71/28.31 inference(monotonicity,[status(thm)],[26945])).
% 42.71/28.31 tff(26947,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 42.71/28.31 inference(transitivity,[status(thm)],[26946, 26944])).
% 42.71/28.31 tff(26948,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))),
% 42.71/28.31 inference(quant_inst,[status(thm)],[])).
% 42.71/28.31 tff(26949,plain,
% 42.71/28.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161))),
% 42.71/28.31 inference(modus_ponens,[status(thm)],[26948, 26947])).
% 42.71/28.31 tff(26950,plain,
% 42.71/28.31 (~v116(constB161)),
% 42.71/28.31 inference(unit_resolution,[status(thm)],[26949, 539, 26782])).
% 42.71/28.31 tff(26951,plain,
% 42.71/28.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 42.71/28.31 inference(rewrite,[status(thm)],[])).
% 42.71/28.31 tff(26952,plain,
% 42.71/28.31 (((~v117(constB161)) | v116(constB161)) <=> (v116(constB161) | (~v117(constB161)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26953,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161))))),
% 42.71/28.32 inference(monotonicity,[status(thm)],[26952])).
% 42.71/28.32 tff(26954,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 42.71/28.32 inference(transitivity,[status(thm)],[26953, 26951])).
% 42.71/28.32 tff(26955,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(26956,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[26955, 26954])).
% 42.71/28.32 tff(26957,plain,
% 42.71/28.32 (~v117(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26956, 525, 26950])).
% 42.71/28.32 tff(26958,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v118(constB161)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v118(constB161)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26959,plain,
% 42.71/28.32 (((~v118(constB161)) | v117(constB161)) <=> (v117(constB161) | (~v118(constB161)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26960,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v118(constB161))))),
% 42.71/28.32 inference(monotonicity,[status(thm)],[26959])).
% 42.71/28.32 tff(26961,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v118(constB161)))),
% 42.71/28.32 inference(transitivity,[status(thm)],[26960, 26958])).
% 42.71/28.32 tff(26962,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB161)) | v117(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(26963,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v118(constB161))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[26962, 26961])).
% 42.71/28.32 tff(26964,plain,
% 42.71/28.32 (~v118(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26963, 511, 26957])).
% 42.71/28.32 tff(26965,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB161)) | v118(constB161))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB161)) | v118(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26966,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB161)) | v118(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(26967,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB161)) | v118(constB161)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[26966, 26965])).
% 42.71/28.32 tff(26968,plain,
% 42.71/28.32 (~v120(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26967, 1630, 26964])).
% 42.71/28.32 tff(26969,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB161)) | v118(constB161))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB161)) | v118(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26970,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB161)) | v118(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(26971,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB161)) | v118(constB161)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[26970, 26969])).
% 42.71/28.32 tff(26972,plain,
% 42.71/28.32 (~v119(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26971, 500, 26964])).
% 42.71/28.32 tff(26973,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB161)) | v116(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26974,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB161)) | v116(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(26975,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB161)) | v116(constB161)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[26974, 26973])).
% 42.71/28.32 tff(26976,plain,
% 42.71/28.32 (~v122(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26975, 2140, 26950])).
% 42.71/28.32 tff(26977,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB161)) | v117(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26978,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(26979,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB161)) | v117(constB161)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[26978, 26977])).
% 42.71/28.32 tff(26980,plain,
% 42.71/28.32 (~v121(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26979, 1881, 26957])).
% 42.71/28.32 tff(26981,assumption,(~v90(constB161, bitIndex2)), introduced(assumption)).
% 42.71/28.32 tff(26982,assumption,(~v120(constB161)), introduced(assumption)).
% 42.71/28.32 tff(26983,assumption,(~v119(constB161)), introduced(assumption)).
% 42.71/28.32 tff(26984,assumption,(~v90(constB161, bitIndex1)), introduced(assumption)).
% 42.71/28.32 tff(26985,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26986,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(26987,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v120(constB161)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[26986, 26985])).
% 42.71/28.32 tff(26988,plain,
% 42.71/28.32 ((~v90(constB161, bitIndex0)) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26987, 1619, 26982])).
% 42.71/28.32 tff(26989,plain,
% 42.71/28.32 (~v90(constB161, bitIndex0)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26988, 26984, 26981])).
% 42.71/28.32 tff(26990,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v119(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v119(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26991,plain,
% 42.71/28.32 ((v90(constB161, bitIndex0) | v119(constB161) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2)) <=> (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v119(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(26992,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB161, bitIndex0) | v119(constB161) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v119(constB161)))),
% 42.71/28.32 inference(monotonicity,[status(thm)],[26991])).
% 42.71/28.32 tff(26993,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB161, bitIndex0) | v119(constB161) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v119(constB161))),
% 42.71/28.32 inference(transitivity,[status(thm)],[26992, 26990])).
% 42.71/28.32 tff(26994,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB161, bitIndex0) | v119(constB161) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(26995,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v119(constB161)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[26994, 26993])).
% 42.71/28.32 tff(26996,plain,
% 42.71/28.32 (v90(constB161, bitIndex0) | v90(constB161, bitIndex1) | v90(constB161, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26995, 486, 26983])).
% 42.71/28.32 tff(26997,plain,
% 42.71/28.32 ($false),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26996, 26989, 26984, 26981])).
% 42.71/28.32 tff(26998,plain,(v90(constB161, bitIndex1) | v90(constB161, bitIndex2) | v119(constB161) | v120(constB161)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.32 tff(26999,plain,
% 42.71/28.32 (v90(constB161, bitIndex1)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26998, 26981, 26983, 26982])).
% 42.71/28.32 tff(27000,assumption,(~v122(constB161)), introduced(assumption)).
% 42.71/28.32 tff(27001,plain,
% 42.71/28.32 ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26704, 2129, 27000])).
% 42.71/28.32 tff(27002,plain,
% 42.71/28.32 (~v90(constB161, bitIndex0)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27001, 26999, 26981])).
% 42.71/28.32 tff(27003,assumption,(~v121(constB161)), introduced(assumption)).
% 42.71/28.32 tff(27004,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27005,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27006,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27005, 27004])).
% 42.71/28.32 tff(27007,plain,
% 42.71/28.32 (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27006, 1870, 27003])).
% 42.71/28.32 tff(27008,plain,
% 42.71/28.32 ($false),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27007, 27002, 26999, 26981])).
% 42.71/28.32 tff(27009,plain,(v90(constB161, bitIndex2) | v121(constB161) | v122(constB161) | v119(constB161) | v120(constB161)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.32 tff(27010,plain,
% 42.71/28.32 (v90(constB161, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27009, 26980, 26976, 26972, 26968])).
% 42.71/28.32 tff(27011,plain,
% 42.71/28.32 (v90(constB160, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26638, 27010])).
% 42.71/28.32 tff(27012,plain,
% 42.71/28.32 (v129(constB160, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26611, 27011])).
% 42.71/28.32 tff(27013,plain,
% 42.71/28.32 (v127(constB159, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[25803, 27012])).
% 42.71/28.32 tff(27014,plain,
% 42.71/28.32 (v130(constB159, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[25795, 27013])).
% 42.71/28.32 tff(27015,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB159)) | (~v130(constB159, bitIndex2)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27016,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB159)) | (~v130(constB159, bitIndex2)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27017,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB159)) | (~v130(constB159, bitIndex2))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27016, 27015])).
% 42.71/28.32 tff(27018,plain,
% 42.71/28.32 (~v124(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27017, 3868, 27014])).
% 42.71/28.32 tff(27019,plain,
% 42.71/28.32 (~v121(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[25783, 1990, 27014])).
% 42.71/28.32 tff(27020,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27021,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27022,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27021, 27020])).
% 42.71/28.32 tff(27023,plain,
% 42.71/28.32 (~v120(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27022, 1732, 27014])).
% 42.71/28.32 tff(27024,plain,
% 42.71/28.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27025,plain,
% 42.71/28.32 (((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2)) <=> ((~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27026,plain,
% 42.71/28.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2)))),
% 42.71/28.32 inference(monotonicity,[status(thm)],[27025])).
% 42.71/28.32 tff(27027,plain,
% 42.71/28.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2))),
% 42.71/28.32 inference(transitivity,[status(thm)],[27026, 27024])).
% 42.71/28.32 tff(27028,plain,
% 42.71/28.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27029,plain,
% 42.71/28.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB161, bitIndex2)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, bitIndex2)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27028, 27027])).
% 42.71/28.32 tff(27030,plain,
% 42.71/28.32 ((~v90(constB161, bitIndex2)) | v100(constB162) | v90(constB162, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27029, 783, 26709])).
% 42.71/28.32 tff(27031,plain,
% 42.71/28.32 (v90(constB162, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27030, 27010, 26706])).
% 42.71/28.32 tff(27032,assumption,(v123(constB159)), introduced(assumption)).
% 42.71/28.32 tff(27033,plain,
% 42.71/28.32 (v115(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[25826, 990, 27032])).
% 42.71/28.32 tff(27034,plain,
% 42.71/28.32 (v114(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[25822, 553, 27033])).
% 42.71/28.32 tff(27035,plain,
% 42.71/28.32 (v113(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[25811, 567, 27034])).
% 42.71/28.32 tff(27036,plain,
% 42.71/28.32 (v112(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26559, 27035])).
% 42.71/28.32 tff(27037,plain,
% 42.71/28.32 (v108(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26566, 746, 27036])).
% 42.71/28.32 tff(27038,plain,
% 42.71/28.32 (v110(constB160)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26574, 27037])).
% 42.71/28.32 tff(27039,plain,
% 42.71/28.32 (v100(constB160)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26606, 27038])).
% 42.71/28.32 tff(27040,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB159)) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB159)) | v130(constB159, bitIndex2))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27041,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB159)) | v130(constB159, bitIndex2))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27042,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB159)) | v130(constB159, bitIndex2)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27041, 27040])).
% 42.71/28.32 tff(27043,plain,
% 42.71/28.32 (v130(constB159, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27042, 1074, 27032])).
% 42.71/28.32 tff(27044,plain,
% 42.71/28.32 (v127(constB159, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26805, 27043])).
% 42.71/28.32 tff(27045,plain,
% 42.71/28.32 (v129(constB160, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26810, 27044])).
% 42.71/28.32 tff(27046,plain,
% 42.71/28.32 (v90(constB160, bitIndex2) | (~v100(constB160))),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26817, 641, 27045])).
% 42.71/28.32 tff(27047,plain,
% 42.71/28.32 (v90(constB160, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27046, 27039])).
% 42.71/28.32 tff(27048,plain,
% 42.71/28.32 (v90(constB161, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26827, 27047])).
% 42.71/28.32 tff(27049,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB159)) | v130(constB159, bitIndex1))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27050,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB159)) | v130(constB159, bitIndex1))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27051,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB159)) | v130(constB159, bitIndex1)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27050, 27049])).
% 42.71/28.32 tff(27052,plain,
% 42.71/28.32 (v130(constB159, bitIndex1)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27051, 1130, 27032])).
% 42.71/28.32 tff(27053,plain,
% 42.71/28.32 (v127(constB159, bitIndex1)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26647, 27052])).
% 42.71/28.32 tff(27054,plain,
% 42.71/28.32 (v129(constB160, bitIndex1)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26652, 27053])).
% 42.71/28.32 tff(27055,plain,
% 42.71/28.32 (v90(constB160, bitIndex1) | (~v100(constB160))),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26659, 1174, 27054])).
% 42.71/28.32 tff(27056,plain,
% 42.71/28.32 (v90(constB160, bitIndex1)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27055, 27039])).
% 42.71/28.32 tff(27057,plain,
% 42.71/28.32 (v90(constB161, bitIndex1)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26669, 27056])).
% 42.71/28.32 tff(27058,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB159)) | (~v130(constB159, bitIndex0)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27059,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB159)) | (~v130(constB159, bitIndex0)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27060,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB159)) | (~v130(constB159, bitIndex0))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27059, 27058])).
% 42.71/28.32 tff(27061,plain,
% 42.71/28.32 (~v130(constB159, bitIndex0)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27060, 1208, 27032])).
% 42.71/28.32 tff(27062,plain,
% 42.71/28.32 (~v127(constB159, bitIndex0)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26839, 27061])).
% 42.71/28.32 tff(27063,plain,
% 42.71/28.32 (~v129(constB160, bitIndex0)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26844, 27062])).
% 42.71/28.32 tff(27064,plain,
% 42.71/28.32 ((~v90(constB160, bitIndex0)) | (~v100(constB160))),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26851, 952, 27063])).
% 42.71/28.32 tff(27065,plain,
% 42.71/28.32 (~v90(constB160, bitIndex0)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27064, 27039])).
% 42.71/28.32 tff(27066,plain,
% 42.71/28.32 (~v90(constB161, bitIndex0)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26861, 27065])).
% 42.71/28.32 tff(27067,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex2)) | v125(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex2)) | v125(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27068,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex2)) | v125(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27069,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex2)) | v125(constB161)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27068, 27067])).
% 42.71/28.32 tff(27070,plain,
% 42.71/28.32 (v125(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27069, 1252, 27066, 27057, 27048])).
% 42.71/28.32 tff(27071,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB161)) | v113(constB161))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27072,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB161)) | v113(constB161))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27073,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB161)) | v113(constB161)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27072, 27071])).
% 42.71/28.32 tff(27074,plain,
% 42.71/28.32 (v113(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27073, 1263, 27070])).
% 42.71/28.32 tff(27075,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB161)) | (~v90(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB161)) | (~v90(constB161, bitIndex1)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27076,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB161)) | (~v90(constB161, bitIndex1)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27077,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB161)) | (~v90(constB161, bitIndex1))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27076, 27075])).
% 42.71/28.32 tff(27078,plain,
% 42.71/28.32 (~v123(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27077, 1358, 27057])).
% 42.71/28.32 tff(27079,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB161)) | (~v90(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB161)) | (~v90(constB161, bitIndex1)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27080,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB161)) | (~v90(constB161, bitIndex1)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27081,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB161)) | (~v90(constB161, bitIndex1))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27080, 27079])).
% 42.71/28.32 tff(27082,plain,
% 42.71/28.32 (~v119(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27081, 1380, 27057])).
% 42.71/28.32 tff(27083,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB161)) | (~v90(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB161)) | (~v90(constB161, bitIndex1)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27084,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB161)) | (~v90(constB161, bitIndex1)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27085,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB161)) | (~v90(constB161, bitIndex1))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27084, 27083])).
% 42.71/28.32 tff(27086,plain,
% 42.71/28.32 (~v120(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27085, 1391, 27057])).
% 42.71/28.32 tff(27087,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB161)) | (~v90(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB161)) | (~v90(constB161, bitIndex2)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27088,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB161)) | (~v90(constB161, bitIndex2)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27089,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB161)) | (~v90(constB161, bitIndex2))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27088, 27087])).
% 42.71/28.32 tff(27090,plain,
% 42.71/28.32 (~v122(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27089, 1347, 27048])).
% 42.71/28.32 tff(27091,assumption,(v130(constB161, bitIndex2)), introduced(assumption)).
% 42.71/28.32 tff(27092,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB161)) | (~v130(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB161)) | (~v130(constB161, bitIndex2)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27093,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB161)) | (~v130(constB161, bitIndex2)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27094,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB161)) | (~v130(constB161, bitIndex2))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27093, 27092])).
% 42.71/28.32 tff(27095,plain,
% 42.71/28.32 (~v124(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27094, 3868, 27091])).
% 42.71/28.32 tff(27096,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27097,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27098,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27097, 27096])).
% 42.71/28.32 tff(27099,plain,
% 42.71/28.32 (~v121(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27098, 1990, 27091])).
% 42.71/28.32 tff(27100,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, bitIndex2)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27101,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, bitIndex2)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27102,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, bitIndex2))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27101, 27100])).
% 42.71/28.32 tff(27103,plain,
% 42.71/28.32 (v121(constB161) | v124(constB161) | (~v130(constB161, bitIndex2))),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27102, 1405, 26897, 27000, 26983, 26982])).
% 42.71/28.32 tff(27104,plain,
% 42.71/28.32 ($false),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27103, 27099, 27095, 27091])).
% 42.71/28.32 tff(27105,plain,((~v130(constB161, bitIndex2)) | v123(constB161) | v122(constB161) | v119(constB161) | v120(constB161)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.32 tff(27106,plain,
% 42.71/28.32 (~v130(constB161, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27105, 27090, 27086, 27082, 27078])).
% 42.71/28.32 tff(27107,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27108,plain,
% 42.71/28.32 ((v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2))) <=> ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27109,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)))),
% 42.71/28.32 inference(monotonicity,[status(thm)],[27108])).
% 42.71/28.32 tff(27110,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 42.71/28.32 inference(transitivity,[status(thm)],[27109, 27107])).
% 42.71/28.32 tff(27111,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27112,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27111, 27110])).
% 42.71/28.32 tff(27113,plain,
% 42.71/28.32 ((~v127(constB161, bitIndex2)) | v130(constB161, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27112, 1419, 26760])).
% 42.71/28.32 tff(27114,plain,
% 42.71/28.32 (~v127(constB161, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27113, 27106])).
% 42.71/28.32 tff(27115,plain,
% 42.71/28.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27116,plain,
% 42.71/28.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27117,plain,
% 42.71/28.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27116, 27115])).
% 42.71/28.32 tff(27118,plain,
% 42.71/28.32 (v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27117, 1437, 26709])).
% 42.71/28.32 tff(27119,plain,
% 42.71/28.32 (~v129(constB162, bitIndex2)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27118, 27114])).
% 42.71/28.32 tff(27120,assumption,(v90(constB162, bitIndex2)), introduced(assumption)).
% 42.71/28.32 tff(27121,plain,
% 42.71/28.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27122,plain,
% 42.71/28.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27123,plain,
% 42.71/28.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27122, 27121])).
% 42.71/28.32 tff(27124,plain,
% 42.71/28.32 (v129(constB162, bitIndex2) | (~v100(constB162))),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27123, 1452, 27120])).
% 42.71/28.32 tff(27125,plain,
% 42.71/28.32 (~v100(constB162)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27124, 27119])).
% 42.71/28.32 tff(27126,plain,
% 42.71/28.32 (~v110(constB162)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26740, 27125])).
% 42.71/28.32 tff(27127,plain,
% 42.71/28.32 (~v108(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26748, 27126])).
% 42.71/28.32 tff(27128,plain,
% 42.71/28.32 (~v112(constB161)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26755, 746, 27127])).
% 42.71/28.32 tff(27129,plain,
% 42.71/28.32 ($false),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[26767, 27128, 27074])).
% 42.71/28.32 tff(27130,plain,((~v123(constB159)) | (~v90(constB162, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 42.71/28.32 tff(27131,plain,
% 42.71/28.32 (~v123(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27130, 27031])).
% 42.71/28.32 tff(27132,plain,
% 42.71/28.32 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, bitIndex2)))),
% 42.71/28.32 inference(rewrite,[status(thm)],[])).
% 42.71/28.32 tff(27133,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, bitIndex2)))),
% 42.71/28.32 inference(quant_inst,[status(thm)],[])).
% 42.71/28.32 tff(27134,plain,
% 42.71/28.32 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, bitIndex2))),
% 42.71/28.32 inference(modus_ponens,[status(thm)],[27133, 27132])).
% 42.71/28.32 tff(27135,plain,
% 42.71/28.32 (v120(constB159) | v121(constB159) | v124(constB159)),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27134, 1405, 27014, 27131, 25859, 25767])).
% 42.71/28.32 tff(27136,plain,
% 42.71/28.32 ($false),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27135, 27023, 27019, 27018])).
% 42.71/28.32 tff(27137,plain,(v100(constB162) | v119(constB159) | v122(constB159)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.32 tff(27138,plain,
% 42.71/28.32 ($false),
% 42.71/28.32 inference(unit_resolution,[status(thm)],[27137, 26943, 26904, 26706])).
% 42.71/28.32 tff(27139,plain,(v100(constB162)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.33 tff(27140,assumption,(v122(constB161)), introduced(assumption)).
% 42.71/28.33 tff(27141,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB161)) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB161)) | v130(constB161, bitIndex2))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27142,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB161)) | v130(constB161, bitIndex2))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27143,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB161)) | v130(constB161, bitIndex2)),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27142, 27141])).
% 42.71/28.33 tff(27144,plain,
% 42.71/28.33 (v130(constB161, bitIndex2)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27143, 2224, 27140])).
% 42.71/28.33 tff(27145,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27146,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27147,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2)),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27146, 27145])).
% 42.71/28.33 tff(27148,plain,
% 42.71/28.33 ((~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27147, 607, 26760])).
% 42.71/28.33 tff(27149,plain,
% 42.71/28.33 (v127(constB161, bitIndex2)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27148, 27144])).
% 42.71/28.33 tff(27150,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27151,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27152,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2)),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27151, 27150])).
% 42.71/28.33 tff(27153,plain,
% 42.71/28.33 ((~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27152, 625, 26709])).
% 42.71/28.33 tff(27154,plain,
% 42.71/28.33 (v129(constB162, bitIndex2)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27153, 27149])).
% 42.71/28.33 tff(27155,assumption,(v100(constB162)), introduced(assumption)).
% 42.71/28.33 tff(27156,plain,
% 42.71/28.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27157,plain,
% 42.71/28.33 ((v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2))) <=> (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27158,plain,
% 42.71/28.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162))))),
% 42.71/28.33 inference(monotonicity,[status(thm)],[27157])).
% 42.71/28.33 tff(27159,plain,
% 42.71/28.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 42.71/28.33 inference(transitivity,[status(thm)],[27158, 27156])).
% 42.71/28.33 tff(27160,plain,
% 42.71/28.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27161,plain,
% 42.71/28.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27160, 27159])).
% 42.71/28.33 tff(27162,plain,
% 42.71/28.33 (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2))),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27161, 641, 27155])).
% 42.71/28.33 tff(27163,plain,
% 42.71/28.33 (v90(constB162, bitIndex2)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27162, 27154])).
% 42.71/28.33 tff(27164,plain,
% 42.71/28.33 ((~v1(constB163)) <=> (~v1(constB163))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27165,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 42.71/28.33 tff(27166,plain,
% 42.71/28.33 (~v1(constB163)),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27165, 27164])).
% 42.71/28.33 tff(27167,plain,
% 42.71/28.33 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27168,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 42.71/28.33 tff(27169,plain,
% 42.71/28.33 (nextState(constB162, constB163)),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27168, 27167])).
% 42.71/28.33 tff(27170,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27171,plain,
% 42.71/28.33 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27172,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 42.71/28.33 inference(monotonicity,[status(thm)],[27171])).
% 42.71/28.33 tff(27173,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 42.71/28.33 inference(transitivity,[status(thm)],[27172, 27170])).
% 42.71/28.33 tff(27174,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27175,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27174, 27173])).
% 42.71/28.33 tff(27176,plain,
% 42.71/28.33 (~v101(constB163)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27175, 391, 27169, 27166])).
% 42.71/28.33 tff(27177,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27178,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27179,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27178, 27177])).
% 42.71/28.33 tff(27180,plain,
% 42.71/28.33 (v101(constB163) | (~v100(constB163))),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27179, 408, 27169])).
% 42.71/28.33 tff(27181,plain,
% 42.71/28.33 (~v100(constB163)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27180, 27176])).
% 42.71/28.33 tff(27182,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27183,plain,
% 42.71/28.33 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2)) <=> ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27184,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2)))),
% 42.71/28.33 inference(monotonicity,[status(thm)],[27183])).
% 42.71/28.33 tff(27185,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 42.71/28.33 inference(transitivity,[status(thm)],[27184, 27182])).
% 42.71/28.33 tff(27186,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27187,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2)),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27186, 27185])).
% 42.71/28.33 tff(27188,plain,
% 42.71/28.33 ((~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27187, 783, 27169])).
% 42.71/28.33 tff(27189,plain,
% 42.71/28.33 ((~v90(constB162, bitIndex2)) | v90(constB163, bitIndex2)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27188, 27181])).
% 42.71/28.33 tff(27190,plain,
% 42.71/28.33 (v90(constB163, bitIndex2)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27189, 27163])).
% 42.71/28.33 tff(27191,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB161)) | (~v130(constB161, bitIndex0)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27192,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex0)))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27193,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB161)) | (~v130(constB161, bitIndex0))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27192, 27191])).
% 42.71/28.33 tff(27194,plain,
% 42.71/28.33 (~v130(constB161, bitIndex0)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27193, 2327, 27140])).
% 42.71/28.33 tff(27195,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27196,plain,
% 42.71/28.33 ((v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0))) <=> ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27197,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0)))),
% 42.71/28.33 inference(monotonicity,[status(thm)],[27196])).
% 42.71/28.33 tff(27198,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 42.71/28.33 inference(transitivity,[status(thm)],[27197, 27195])).
% 42.71/28.33 tff(27199,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27200,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0)),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27199, 27198])).
% 42.71/28.33 tff(27201,plain,
% 42.71/28.33 ((~v127(constB161, bitIndex0)) | v130(constB161, bitIndex0)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27200, 907, 26760])).
% 42.71/28.33 tff(27202,plain,
% 42.71/28.33 (~v127(constB161, bitIndex0)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27201, 27194])).
% 42.71/28.33 tff(27203,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27204,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27205,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27204, 27203])).
% 42.71/28.33 tff(27206,plain,
% 42.71/28.33 (v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0))),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27205, 937, 26709])).
% 42.71/28.33 tff(27207,plain,
% 42.71/28.33 (~v129(constB162, bitIndex0)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27206, 27202])).
% 42.71/28.33 tff(27208,plain,
% 42.71/28.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27209,plain,
% 42.71/28.33 (((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0)) <=> ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27210,plain,
% 42.71/28.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162))))),
% 42.71/28.33 inference(monotonicity,[status(thm)],[27209])).
% 42.71/28.33 tff(27211,plain,
% 42.71/28.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 42.71/28.33 inference(transitivity,[status(thm)],[27210, 27208])).
% 42.71/28.33 tff(27212,plain,
% 42.71/28.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27213,plain,
% 42.71/28.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27212, 27211])).
% 42.71/28.33 tff(27214,plain,
% 42.71/28.33 ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27213, 952, 27155])).
% 42.71/28.33 tff(27215,plain,
% 42.71/28.33 (~v90(constB162, bitIndex0)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27214, 27207])).
% 42.71/28.33 tff(27216,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27217,plain,
% 42.71/28.33 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0))) <=> (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27218,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0))))),
% 42.71/28.33 inference(monotonicity,[status(thm)],[27217])).
% 42.71/28.33 tff(27219,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 42.71/28.33 inference(transitivity,[status(thm)],[27218, 27216])).
% 42.71/28.33 tff(27220,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27221,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27220, 27219])).
% 42.71/28.33 tff(27222,plain,
% 42.71/28.33 (v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0))),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27221, 465, 27169])).
% 42.71/28.33 tff(27223,plain,
% 42.71/28.33 (v90(constB162, bitIndex0) | (~v90(constB163, bitIndex0))),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27222, 27181])).
% 42.71/28.33 tff(27224,plain,
% 42.71/28.33 (~v90(constB163, bitIndex0)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27223, 27215])).
% 42.71/28.33 tff(27225,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB161)) | (~v130(constB161, bitIndex1)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27226,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex1)))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27227,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB161)) | (~v130(constB161, bitIndex1))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27226, 27225])).
% 42.71/28.33 tff(27228,plain,
% 42.71/28.33 (~v130(constB161, bitIndex1)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27227, 2281, 27140])).
% 42.71/28.33 tff(27229,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27230,plain,
% 42.71/28.33 ((v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1))) <=> ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27231,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1)))),
% 42.71/28.33 inference(monotonicity,[status(thm)],[27230])).
% 42.71/28.33 tff(27232,plain,
% 42.71/28.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 42.71/28.33 inference(transitivity,[status(thm)],[27231, 27229])).
% 42.71/28.33 tff(27233,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27234,plain,
% 42.71/28.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1)),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27233, 27232])).
% 42.71/28.33 tff(27235,plain,
% 42.71/28.33 ((~v127(constB161, bitIndex1)) | v130(constB161, bitIndex1)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27234, 823, 26760])).
% 42.71/28.33 tff(27236,plain,
% 42.71/28.33 (~v127(constB161, bitIndex1)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27235, 27228])).
% 42.71/28.33 tff(27237,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27238,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27239,plain,
% 42.71/28.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27238, 27237])).
% 42.71/28.33 tff(27240,plain,
% 42.71/28.33 (v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1))),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27239, 853, 26709])).
% 42.71/28.33 tff(27241,plain,
% 42.71/28.33 (~v129(constB162, bitIndex1)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27240, 27236])).
% 42.71/28.33 tff(27242,plain,
% 42.71/28.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27243,plain,
% 42.71/28.33 (((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1)) <=> ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27244,plain,
% 42.71/28.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162))))),
% 42.71/28.33 inference(monotonicity,[status(thm)],[27243])).
% 42.71/28.33 tff(27245,plain,
% 42.71/28.33 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 42.71/28.33 inference(transitivity,[status(thm)],[27244, 27242])).
% 42.71/28.33 tff(27246,plain,
% 42.71/28.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))),
% 42.71/28.33 inference(quant_inst,[status(thm)],[])).
% 42.71/28.33 tff(27247,plain,
% 42.71/28.33 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162))),
% 42.71/28.33 inference(modus_ponens,[status(thm)],[27246, 27245])).
% 42.71/28.33 tff(27248,plain,
% 42.71/28.33 ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27247, 868, 27155])).
% 42.71/28.33 tff(27249,plain,
% 42.71/28.33 (~v90(constB162, bitIndex1)),
% 42.71/28.33 inference(unit_resolution,[status(thm)],[27248, 27241])).
% 42.71/28.33 tff(27250,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27251,plain,
% 42.71/28.33 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1))) <=> (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 42.71/28.33 inference(rewrite,[status(thm)],[])).
% 42.71/28.33 tff(27252,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1))))),
% 42.71/28.33 inference(monotonicity,[status(thm)],[27251])).
% 42.71/28.33 tff(27253,plain,
% 42.71/28.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27252, 27250])).
% 42.71/28.34 tff(27254,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27255,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27254, 27253])).
% 42.71/28.34 tff(27256,plain,
% 42.71/28.34 (v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27255, 444, 27169])).
% 42.71/28.34 tff(27257,plain,
% 42.71/28.34 (v90(constB162, bitIndex1) | (~v90(constB163, bitIndex1))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27256, 27181])).
% 42.71/28.34 tff(27258,plain,
% 42.71/28.34 (~v90(constB163, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27257, 27249])).
% 42.71/28.34 tff(27259,assumption,(~v123(constB163)), introduced(assumption)).
% 42.71/28.34 tff(27260,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27261,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27262,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27261, 27260])).
% 42.71/28.34 tff(27263,plain,
% 42.71/28.34 (v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27262, 979, 27259])).
% 42.71/28.34 tff(27264,plain,
% 42.71/28.34 ($false),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27263, 27258, 27224, 27190])).
% 42.71/28.34 tff(27265,plain,((~v122(constB161)) | v123(constB163) | (~v100(constB162))), inference(lemma,lemma(discharge,[]))).
% 42.71/28.34 tff(27266,plain,
% 42.71/28.34 ((~v122(constB161)) | v123(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27265, 27139])).
% 42.71/28.34 tff(27267,plain,
% 42.71/28.34 (v123(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27266, 26705])).
% 42.71/28.34 tff(27268,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB163)) | v115(constB163))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27269,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB163)) | v115(constB163))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27270,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB163)) | v115(constB163)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27269, 27268])).
% 42.71/28.34 tff(27271,plain,
% 42.71/28.34 (v115(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27270, 990, 27267])).
% 42.71/28.34 tff(27272,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27273,plain,
% 42.71/28.34 (((~v115(constB163)) | v114(constB163)) <=> (v114(constB163) | (~v115(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27274,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163))))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27273])).
% 42.71/28.34 tff(27275,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27274, 27272])).
% 42.71/28.34 tff(27276,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27277,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27276, 27275])).
% 42.71/28.34 tff(27278,plain,
% 42.71/28.34 (v114(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27277, 553, 27271])).
% 42.71/28.34 tff(27279,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27280,plain,
% 42.71/28.34 (((~v114(constB163)) | v113(constB163)) <=> (v113(constB163) | (~v114(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27281,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163))))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27280])).
% 42.71/28.34 tff(27282,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27281, 27279])).
% 42.71/28.34 tff(27283,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27284,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27283, 27282])).
% 42.71/28.34 tff(27285,plain,
% 42.71/28.34 (v113(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27284, 567, 27278])).
% 42.71/28.34 tff(27286,assumption,(v26(constB163)), introduced(assumption)).
% 42.71/28.34 tff(27287,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27288,plain,
% 42.71/28.34 ($false),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27287, 95, 27286])).
% 42.71/28.34 tff(27289,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.34 tff(27290,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27291,plain,
% 42.71/28.34 ((v26(constB163) | (~v113(constB163)) | v112(constB163)) <=> (v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27292,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163))))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27291])).
% 42.71/28.34 tff(27293,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27292, 27290])).
% 42.71/28.34 tff(27294,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27295,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27294, 27293])).
% 42.71/28.34 tff(27296,plain,
% 42.71/28.34 (v112(constB163) | (~v113(constB163))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27295, 581, 27289])).
% 42.71/28.34 tff(27297,plain,
% 42.71/28.34 (v112(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27296, 27285])).
% 42.71/28.34 tff(27298,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27299,plain,
% 42.71/28.34 (((~v112(constB163)) | v108(constB163)) <=> (v108(constB163) | (~v112(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27300,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163))))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27299])).
% 42.71/28.34 tff(27301,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27300, 27298])).
% 42.71/28.34 tff(27302,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27303,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27302, 27301])).
% 42.71/28.34 tff(27304,plain,
% 42.71/28.34 (v108(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27303, 746, 27297])).
% 42.71/28.34 tff(27305,plain,
% 42.71/28.34 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27306,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 42.71/28.34 tff(27307,plain,
% 42.71/28.34 (nextState(constB163, constB164)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27306, 27305])).
% 42.71/28.34 tff(27308,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27309,plain,
% 42.71/28.34 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27310,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27309])).
% 42.71/28.34 tff(27311,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27310, 27308])).
% 42.71/28.34 tff(27312,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27313,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27312, 27311])).
% 42.71/28.34 tff(27314,plain,
% 42.71/28.34 (v110(constB164) | (~v108(constB163))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27313, 731, 27307])).
% 42.71/28.34 tff(27315,plain,
% 42.71/28.34 (v110(constB164)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27314, 27304])).
% 42.71/28.34 tff(27316,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27317,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27318,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27317, 27316])).
% 42.71/28.34 tff(27319,plain,
% 42.71/28.34 (~v104(constB164)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27318, 659, 27307, 27166])).
% 42.71/28.34 tff(27320,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27321,plain,
% 42.71/28.34 (((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)) <=> ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27322,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164)))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27321])).
% 42.71/28.34 tff(27323,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27322, 27320])).
% 42.71/28.34 tff(27324,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27325,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27324, 27323])).
% 42.71/28.34 tff(27326,plain,
% 42.71/28.34 (v104(constB164) | v102(constB164)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27325, 673, 27307])).
% 42.71/28.34 tff(27327,plain,
% 42.71/28.34 (v102(constB164)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27326, 27319])).
% 42.71/28.34 tff(27328,plain,
% 42.71/28.34 (v1(constB164) <=> v1(constB164)),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27329,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 42.71/28.34 tff(27330,plain,
% 42.71/28.34 (v1(constB164)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27329, 27328])).
% 42.71/28.34 tff(27331,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27332,plain,
% 42.71/28.34 (((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))) <=> ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27333,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164))))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27332])).
% 42.71/28.34 tff(27334,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27333, 27331])).
% 42.71/28.34 tff(27335,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27336,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27335, 27334])).
% 42.71/28.34 tff(27337,plain,
% 42.71/28.34 (v101(constB164) | (~v102(constB164))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27336, 694, 27307, 27330])).
% 42.71/28.34 tff(27338,plain,
% 42.71/28.34 (v101(constB164)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27337, 27327])).
% 42.71/28.34 tff(27339,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27340,plain,
% 42.71/28.34 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27341,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27340])).
% 42.71/28.34 tff(27342,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27341, 27339])).
% 42.71/28.34 tff(27343,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27344,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27343, 27342])).
% 42.71/28.34 tff(27345,plain,
% 42.71/28.34 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27344, 712, 27307])).
% 42.71/28.34 tff(27346,plain,
% 42.71/28.34 (v100(constB164) | (~v110(constB164))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27345, 27338])).
% 42.71/28.34 tff(27347,plain,
% 42.71/28.34 (v100(constB164)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27346, 27315])).
% 42.71/28.34 tff(27348,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB163)) | v130(constB163, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB163)) | v130(constB163, bitIndex1))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27349,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB163)) | v130(constB163, bitIndex1))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27350,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB163)) | v130(constB163, bitIndex1)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27349, 27348])).
% 42.71/28.34 tff(27351,plain,
% 42.71/28.34 (v130(constB163, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27350, 1130, 27267])).
% 42.71/28.34 tff(27352,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27353,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27354,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27353, 27352])).
% 42.71/28.34 tff(27355,plain,
% 42.71/28.34 ((~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27354, 1144, 27289])).
% 42.71/28.34 tff(27356,plain,
% 42.71/28.34 (v127(constB163, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27355, 27351])).
% 42.71/28.34 tff(27357,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27358,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27359,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27358, 27357])).
% 42.71/28.34 tff(27360,plain,
% 42.71/28.34 ((~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27359, 1159, 27307])).
% 42.71/28.34 tff(27361,plain,
% 42.71/28.34 (v129(constB164, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27360, 27356])).
% 42.71/28.34 tff(27362,plain,
% 42.71/28.34 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27363,plain,
% 42.71/28.34 ((v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1))) <=> (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27364,plain,
% 42.71/28.34 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164))))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27363])).
% 42.71/28.34 tff(27365,plain,
% 42.71/28.34 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27364, 27362])).
% 42.71/28.34 tff(27366,plain,
% 42.71/28.34 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27367,plain,
% 42.71/28.34 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27366, 27365])).
% 42.71/28.34 tff(27368,plain,
% 42.71/28.34 (v90(constB164, bitIndex1) | (~v100(constB164))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27367, 1174, 27361])).
% 42.71/28.34 tff(27369,plain,
% 42.71/28.34 (v90(constB164, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27368, 27347])).
% 42.71/28.34 tff(27370,plain,
% 42.71/28.34 ((~v1(constB165)) <=> (~v1(constB165))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27371,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 42.71/28.34 tff(27372,plain,
% 42.71/28.34 (~v1(constB165)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27371, 27370])).
% 42.71/28.34 tff(27373,plain,
% 42.71/28.34 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27374,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 42.71/28.34 tff(27375,plain,
% 42.71/28.34 (nextState(constB164, constB165)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27374, 27373])).
% 42.71/28.34 tff(27376,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27377,plain,
% 42.71/28.34 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27378,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27377])).
% 42.71/28.34 tff(27379,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27378, 27376])).
% 42.71/28.34 tff(27380,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27381,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27380, 27379])).
% 42.71/28.34 tff(27382,plain,
% 42.71/28.34 (~v101(constB165)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27381, 391, 27375, 27372])).
% 42.71/28.34 tff(27383,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27384,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27385,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27384, 27383])).
% 42.71/28.34 tff(27386,plain,
% 42.71/28.34 (v101(constB165) | (~v100(constB165))),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27385, 408, 27375])).
% 42.71/28.34 tff(27387,plain,
% 42.71/28.34 (~v100(constB165)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27386, 27382])).
% 42.71/28.34 tff(27388,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27389,plain,
% 42.71/28.34 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1)) <=> ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27390,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1)))),
% 42.71/28.34 inference(monotonicity,[status(thm)],[27389])).
% 42.71/28.34 tff(27391,plain,
% 42.71/28.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 42.71/28.34 inference(transitivity,[status(thm)],[27390, 27388])).
% 42.71/28.34 tff(27392,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27393,plain,
% 42.71/28.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27392, 27391])).
% 42.71/28.34 tff(27394,plain,
% 42.71/28.34 ((~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27393, 1192, 27375])).
% 42.71/28.34 tff(27395,plain,
% 42.71/28.34 ((~v90(constB164, bitIndex1)) | v90(constB165, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27394, 27387])).
% 42.71/28.34 tff(27396,plain,
% 42.71/28.34 (v90(constB165, bitIndex1)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27395, 27369])).
% 42.71/28.34 tff(27397,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB165)) | (~v90(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB165)) | (~v90(constB165, bitIndex1)))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27398,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB165)) | (~v90(constB165, bitIndex1)))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27399,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB165)) | (~v90(constB165, bitIndex1))),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27398, 27397])).
% 42.71/28.34 tff(27400,plain,
% 42.71/28.34 (~v120(constB165)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27399, 1391, 27396])).
% 42.71/28.34 tff(27401,assumption,(v123(constB163)), introduced(assumption)).
% 42.71/28.34 tff(27402,plain,
% 42.71/28.34 (v115(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27270, 990, 27401])).
% 42.71/28.34 tff(27403,plain,
% 42.71/28.34 (v114(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27277, 553, 27402])).
% 42.71/28.34 tff(27404,plain,
% 42.71/28.34 (v113(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27284, 567, 27403])).
% 42.71/28.34 tff(27405,plain,
% 42.71/28.34 (v112(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27296, 27404])).
% 42.71/28.34 tff(27406,plain,
% 42.71/28.34 (v108(constB163)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27303, 746, 27405])).
% 42.71/28.34 tff(27407,plain,
% 42.71/28.34 (v110(constB164)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27314, 27406])).
% 42.71/28.34 tff(27408,plain,
% 42.71/28.34 (v100(constB164)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27346, 27407])).
% 42.71/28.34 tff(27409,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB163)) | v130(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB163)) | v130(constB163, bitIndex2))),
% 42.71/28.34 inference(rewrite,[status(thm)],[])).
% 42.71/28.34 tff(27410,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB163)) | v130(constB163, bitIndex2))),
% 42.71/28.34 inference(quant_inst,[status(thm)],[])).
% 42.71/28.34 tff(27411,plain,
% 42.71/28.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB163)) | v130(constB163, bitIndex2)),
% 42.71/28.34 inference(modus_ponens,[status(thm)],[27410, 27409])).
% 42.71/28.34 tff(27412,plain,
% 42.71/28.34 (v130(constB163, bitIndex2)),
% 42.71/28.34 inference(unit_resolution,[status(thm)],[27411, 1074, 27401])).
% 42.71/28.34 tff(27413,plain,
% 42.71/28.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27414,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27415,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27414, 27413])).
% 42.71/28.35 tff(27416,plain,
% 42.71/28.35 ((~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27415, 607, 27289])).
% 42.71/28.35 tff(27417,plain,
% 42.71/28.35 (v127(constB163, bitIndex2)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27416, 27412])).
% 42.71/28.35 tff(27418,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27419,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27420,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27419, 27418])).
% 42.71/28.35 tff(27421,plain,
% 42.71/28.35 ((~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27420, 625, 27307])).
% 42.71/28.35 tff(27422,plain,
% 42.71/28.35 (v129(constB164, bitIndex2)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27421, 27417])).
% 42.71/28.35 tff(27423,plain,
% 42.71/28.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27424,plain,
% 42.71/28.35 ((v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2))) <=> (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27425,plain,
% 42.71/28.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27424])).
% 42.71/28.35 tff(27426,plain,
% 42.71/28.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27425, 27423])).
% 42.71/28.35 tff(27427,plain,
% 42.71/28.35 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27428,plain,
% 42.71/28.35 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27427, 27426])).
% 42.71/28.35 tff(27429,plain,
% 42.71/28.35 (v90(constB164, bitIndex2) | (~v100(constB164))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27428, 641, 27422])).
% 42.71/28.35 tff(27430,plain,
% 42.71/28.35 (v90(constB164, bitIndex2)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27429, 27408])).
% 42.71/28.35 tff(27431,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27432,plain,
% 42.71/28.35 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)) <=> ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27433,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27432])).
% 42.71/28.35 tff(27434,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27433, 27431])).
% 42.71/28.35 tff(27435,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27436,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27435, 27434])).
% 42.71/28.35 tff(27437,plain,
% 42.71/28.35 ((~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27436, 783, 27375])).
% 42.71/28.35 tff(27438,plain,
% 42.71/28.35 ((~v90(constB164, bitIndex2)) | v90(constB165, bitIndex2)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27437, 27387])).
% 42.71/28.35 tff(27439,plain,
% 42.71/28.35 (v90(constB165, bitIndex2)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27438, 27430])).
% 42.71/28.35 tff(27440,plain,
% 42.71/28.35 (v130(constB163, bitIndex1)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27350, 1130, 27401])).
% 42.71/28.35 tff(27441,plain,
% 42.71/28.35 (v127(constB163, bitIndex1)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27355, 27440])).
% 42.71/28.35 tff(27442,plain,
% 42.71/28.35 (v129(constB164, bitIndex1)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27360, 27441])).
% 42.71/28.35 tff(27443,plain,
% 42.71/28.35 (v90(constB164, bitIndex1) | (~v100(constB164))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27367, 1174, 27442])).
% 42.71/28.35 tff(27444,plain,
% 42.71/28.35 (v90(constB164, bitIndex1)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27443, 27408])).
% 42.71/28.35 tff(27445,plain,
% 42.71/28.35 (v90(constB165, bitIndex1)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27395, 27444])).
% 42.71/28.35 tff(27446,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB163)) | (~v130(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB163)) | (~v130(constB163, bitIndex0)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27447,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB163)) | (~v130(constB163, bitIndex0)))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27448,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB163)) | (~v130(constB163, bitIndex0))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27447, 27446])).
% 42.71/28.35 tff(27449,plain,
% 42.71/28.35 (~v130(constB163, bitIndex0)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27448, 1208, 27401])).
% 42.71/28.35 tff(27450,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27451,plain,
% 42.71/28.35 ((v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0))) <=> ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27452,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27451])).
% 42.71/28.35 tff(27453,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27452, 27450])).
% 42.71/28.35 tff(27454,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27455,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27454, 27453])).
% 42.71/28.35 tff(27456,plain,
% 42.71/28.35 ((~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27455, 907, 27289])).
% 42.71/28.35 tff(27457,plain,
% 42.71/28.35 (~v127(constB163, bitIndex0)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27456, 27449])).
% 42.71/28.35 tff(27458,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27459,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27460,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27459, 27458])).
% 42.71/28.35 tff(27461,plain,
% 42.71/28.35 (v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27460, 937, 27307])).
% 42.71/28.35 tff(27462,plain,
% 42.71/28.35 (~v129(constB164, bitIndex0)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27461, 27457])).
% 42.71/28.35 tff(27463,plain,
% 42.71/28.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27464,plain,
% 42.71/28.35 (((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0)) <=> ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27465,plain,
% 42.71/28.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27464])).
% 42.71/28.35 tff(27466,plain,
% 42.71/28.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27465, 27463])).
% 42.71/28.35 tff(27467,plain,
% 42.71/28.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27468,plain,
% 42.71/28.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27467, 27466])).
% 42.71/28.35 tff(27469,plain,
% 42.71/28.35 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27468, 952, 27462])).
% 42.71/28.35 tff(27470,plain,
% 42.71/28.35 (~v90(constB164, bitIndex0)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27469, 27408])).
% 42.71/28.35 tff(27471,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27472,plain,
% 42.71/28.35 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))) <=> (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27473,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27472])).
% 42.71/28.35 tff(27474,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27473, 27471])).
% 42.71/28.35 tff(27475,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27476,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27475, 27474])).
% 42.71/28.35 tff(27477,plain,
% 42.71/28.35 (v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27476, 465, 27375])).
% 42.71/28.35 tff(27478,plain,
% 42.71/28.35 (v90(constB164, bitIndex0) | (~v90(constB165, bitIndex0))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27477, 27387])).
% 42.71/28.35 tff(27479,plain,
% 42.71/28.35 (~v90(constB165, bitIndex0)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27478, 27470])).
% 42.71/28.35 tff(27480,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27481,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27482,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165)),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27481, 27480])).
% 42.71/28.35 tff(27483,plain,
% 42.71/28.35 (v125(constB165)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27482, 1252, 27479, 27445, 27439])).
% 42.71/28.35 tff(27484,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v125(constB165)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v125(constB165)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27485,plain,
% 42.71/28.35 (((~v125(constB165)) | v113(constB165)) <=> (v113(constB165) | (~v125(constB165)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27486,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v125(constB165))))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27485])).
% 42.71/28.35 tff(27487,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v125(constB165)))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27486, 27484])).
% 42.71/28.35 tff(27488,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB165)) | v113(constB165))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27489,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v125(constB165))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27488, 27487])).
% 42.71/28.35 tff(27490,plain,
% 42.71/28.35 (v113(constB165)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27489, 1263, 27483])).
% 42.71/28.35 tff(27491,assumption,(v26(constB165)), introduced(assumption)).
% 42.71/28.35 tff(27492,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27493,plain,
% 42.71/28.35 ($false),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27492, 95, 27491])).
% 42.71/28.35 tff(27494,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.35 tff(27495,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27496,plain,
% 42.71/28.35 ((v26(constB165) | (~v113(constB165)) | v112(constB165)) <=> (v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27497,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165))))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27496])).
% 42.71/28.35 tff(27498,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27497, 27495])).
% 42.71/28.35 tff(27499,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27500,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27499, 27498])).
% 42.71/28.35 tff(27501,plain,
% 42.71/28.35 (v112(constB165) | (~v113(constB165))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27500, 581, 27494])).
% 42.71/28.35 tff(27502,plain,
% 42.71/28.35 (v112(constB165)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27501, 27490])).
% 42.71/28.35 tff(27503,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27504,plain,
% 42.71/28.35 (((~v112(constB165)) | v108(constB165)) <=> (v108(constB165) | (~v112(constB165)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27505,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165))))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27504])).
% 42.71/28.35 tff(27506,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27505, 27503])).
% 42.71/28.35 tff(27507,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27508,plain,
% 42.71/28.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27507, 27506])).
% 42.71/28.35 tff(27509,plain,
% 42.71/28.35 (v108(constB165)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27508, 746, 27502])).
% 42.71/28.35 tff(27510,plain,
% 42.71/28.35 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27511,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 42.71/28.35 tff(27512,plain,
% 42.71/28.35 (nextState(constB165, constB166)),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27511, 27510])).
% 42.71/28.35 tff(27513,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27514,plain,
% 42.71/28.35 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27515,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27514])).
% 42.71/28.35 tff(27516,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27515, 27513])).
% 42.71/28.35 tff(27517,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27518,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27517, 27516])).
% 42.71/28.35 tff(27519,plain,
% 42.71/28.35 (v110(constB166) | (~v108(constB165))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27518, 731, 27512])).
% 42.71/28.35 tff(27520,plain,
% 42.71/28.35 (v110(constB166)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27519, 27509])).
% 42.71/28.35 tff(27521,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27522,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27523,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27522, 27521])).
% 42.71/28.35 tff(27524,plain,
% 42.71/28.35 (~v104(constB166)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27523, 659, 27512, 27372])).
% 42.71/28.35 tff(27525,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27526,plain,
% 42.71/28.35 (((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)) <=> ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27527,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166)))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27526])).
% 42.71/28.35 tff(27528,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27527, 27525])).
% 42.71/28.35 tff(27529,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27530,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166)),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27529, 27528])).
% 42.71/28.35 tff(27531,plain,
% 42.71/28.35 (v104(constB166) | v102(constB166)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27530, 673, 27512])).
% 42.71/28.35 tff(27532,plain,
% 42.71/28.35 (v102(constB166)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27531, 27524])).
% 42.71/28.35 tff(27533,plain,
% 42.71/28.35 (v1(constB166) <=> v1(constB166)),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27534,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 42.71/28.35 tff(27535,plain,
% 42.71/28.35 (v1(constB166)),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27534, 27533])).
% 42.71/28.35 tff(27536,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27537,plain,
% 42.71/28.35 (((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))) <=> ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27538,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166))))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27537])).
% 42.71/28.35 tff(27539,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27538, 27536])).
% 42.71/28.35 tff(27540,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27541,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27540, 27539])).
% 42.71/28.35 tff(27542,plain,
% 42.71/28.35 (v101(constB166) | (~v102(constB166))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27541, 694, 27512, 27535])).
% 42.71/28.35 tff(27543,plain,
% 42.71/28.35 (v101(constB166)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27542, 27532])).
% 42.71/28.35 tff(27544,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27545,plain,
% 42.71/28.35 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 42.71/28.35 inference(rewrite,[status(thm)],[])).
% 42.71/28.35 tff(27546,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 42.71/28.35 inference(monotonicity,[status(thm)],[27545])).
% 42.71/28.35 tff(27547,plain,
% 42.71/28.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 42.71/28.35 inference(transitivity,[status(thm)],[27546, 27544])).
% 42.71/28.35 tff(27548,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 42.71/28.35 inference(quant_inst,[status(thm)],[])).
% 42.71/28.35 tff(27549,plain,
% 42.71/28.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 42.71/28.35 inference(modus_ponens,[status(thm)],[27548, 27547])).
% 42.71/28.35 tff(27550,plain,
% 42.71/28.35 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27549, 712, 27512])).
% 42.71/28.35 tff(27551,plain,
% 42.71/28.35 (v100(constB166) | (~v110(constB166))),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27550, 27543])).
% 42.71/28.35 tff(27552,plain,
% 42.71/28.35 (v100(constB166)),
% 42.71/28.35 inference(unit_resolution,[status(thm)],[27551, 27520])).
% 42.71/28.35 tff(27553,plain,
% 42.71/28.35 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB165)) | (~v90(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB165)) | (~v90(constB165, bitIndex2)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27554,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB165)) | (~v90(constB165, bitIndex2)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27555,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB165)) | (~v90(constB165, bitIndex2))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27554, 27553])).
% 42.71/28.36 tff(27556,plain,
% 42.71/28.36 (~v122(constB165)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27555, 1347, 27439])).
% 42.71/28.36 tff(27557,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB165)) | (~v90(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB165)) | (~v90(constB165, bitIndex1)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27558,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB165)) | (~v90(constB165, bitIndex1)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27559,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB165)) | (~v90(constB165, bitIndex1))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27558, 27557])).
% 42.71/28.36 tff(27560,plain,
% 42.71/28.36 (~v119(constB165)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27559, 1380, 27445])).
% 42.71/28.36 tff(27561,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB165)) | (~v90(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB165)) | (~v90(constB165, bitIndex1)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27562,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB165)) | (~v90(constB165, bitIndex1)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27563,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB165)) | (~v90(constB165, bitIndex1))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27562, 27561])).
% 42.71/28.36 tff(27564,plain,
% 42.71/28.36 (~v124(constB165)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27563, 1369, 27445])).
% 42.71/28.36 tff(27565,assumption,(~v120(constB165)), introduced(assumption)).
% 42.71/28.36 tff(27566,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB165)) | (~v90(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB165)) | (~v90(constB165, bitIndex2)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27567,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB165)) | (~v90(constB165, bitIndex2)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27568,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB165)) | (~v90(constB165, bitIndex2))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27567, 27566])).
% 42.71/28.36 tff(27569,plain,
% 42.71/28.36 (~v121(constB165)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27568, 1336, 27439])).
% 42.71/28.36 tff(27570,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v90(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v90(constB165, bitIndex1)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27571,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v90(constB165, bitIndex1)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27572,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v90(constB165, bitIndex1))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27571, 27570])).
% 42.71/28.36 tff(27573,plain,
% 42.71/28.36 (~v123(constB165)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27572, 1358, 27445])).
% 42.71/28.36 tff(27574,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27575,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27576,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27575, 27574])).
% 42.71/28.36 tff(27577,plain,
% 42.71/28.36 (~v130(constB165, bitIndex2)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27576, 1405, 27573, 27569, 27565, 27564, 27560, 27556])).
% 42.71/28.36 tff(27578,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27579,plain,
% 42.71/28.36 ((v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2))) <=> ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27580,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2)))),
% 42.71/28.36 inference(monotonicity,[status(thm)],[27579])).
% 42.71/28.36 tff(27581,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 42.71/28.36 inference(transitivity,[status(thm)],[27580, 27578])).
% 42.71/28.36 tff(27582,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27583,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2)),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27582, 27581])).
% 42.71/28.36 tff(27584,plain,
% 42.71/28.36 ((~v127(constB165, bitIndex2)) | v130(constB165, bitIndex2)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27583, 1419, 27494])).
% 42.71/28.36 tff(27585,plain,
% 42.71/28.36 (~v127(constB165, bitIndex2)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27584, 27577])).
% 42.71/28.36 tff(27586,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27587,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27588,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27587, 27586])).
% 42.71/28.36 tff(27589,plain,
% 42.71/28.36 (v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2))),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27588, 1437, 27512])).
% 42.71/28.36 tff(27590,plain,
% 42.71/28.36 (~v129(constB166, bitIndex2)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27589, 27585])).
% 42.71/28.36 tff(27591,plain,
% 42.71/28.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27592,plain,
% 42.71/28.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27593,plain,
% 42.71/28.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27592, 27591])).
% 42.71/28.36 tff(27594,plain,
% 42.71/28.36 ((~v90(constB166, bitIndex2)) | (~v100(constB166))),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27593, 1452, 27590])).
% 42.71/28.36 tff(27595,plain,
% 42.71/28.36 (~v90(constB166, bitIndex2)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27594, 27552])).
% 42.71/28.36 tff(27596,plain,
% 42.71/28.36 ((~v1(constB167)) <=> (~v1(constB167))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27597,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 42.71/28.36 tff(27598,plain,
% 42.71/28.36 (~v1(constB167)),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27597, 27596])).
% 42.71/28.36 tff(27599,plain,
% 42.71/28.36 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27600,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 42.71/28.36 tff(27601,plain,
% 42.71/28.36 (nextState(constB166, constB167)),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27600, 27599])).
% 42.71/28.36 tff(27602,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27603,plain,
% 42.71/28.36 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27604,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 42.71/28.36 inference(monotonicity,[status(thm)],[27603])).
% 42.71/28.36 tff(27605,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 42.71/28.36 inference(transitivity,[status(thm)],[27604, 27602])).
% 42.71/28.36 tff(27606,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27607,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27606, 27605])).
% 42.71/28.36 tff(27608,plain,
% 42.71/28.36 (~v101(constB167)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27607, 391, 27601, 27598])).
% 42.71/28.36 tff(27609,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27610,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27611,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27610, 27609])).
% 42.71/28.36 tff(27612,plain,
% 42.71/28.36 (v101(constB167) | (~v100(constB167))),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27611, 408, 27601])).
% 42.71/28.36 tff(27613,plain,
% 42.71/28.36 (~v100(constB167)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27612, 27608])).
% 42.71/28.36 tff(27614,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27615,plain,
% 42.71/28.36 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2))) <=> (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27616,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2))))),
% 42.71/28.36 inference(monotonicity,[status(thm)],[27615])).
% 42.71/28.36 tff(27617,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 42.71/28.36 inference(transitivity,[status(thm)],[27616, 27614])).
% 42.71/28.36 tff(27618,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27619,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27618, 27617])).
% 42.71/28.36 tff(27620,plain,
% 42.71/28.36 (v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2))),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27619, 423, 27601])).
% 42.71/28.36 tff(27621,plain,
% 42.71/28.36 (v90(constB166, bitIndex2) | (~v90(constB167, bitIndex2))),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27620, 27613])).
% 42.71/28.36 tff(27622,plain,
% 42.71/28.36 (~v90(constB167, bitIndex2)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27621, 27595])).
% 42.71/28.36 tff(27623,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27624,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27625,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0)),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27624, 27623])).
% 42.71/28.36 tff(27626,plain,
% 42.71/28.36 (v130(constB165, bitIndex0)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27625, 1538, 27573, 27569, 27565, 27564, 27560, 27556])).
% 42.71/28.36 tff(27627,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27628,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27629,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27628, 27627])).
% 42.71/28.36 tff(27630,plain,
% 42.71/28.36 ((~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27629, 1552, 27494])).
% 42.71/28.36 tff(27631,plain,
% 42.71/28.36 (v127(constB165, bitIndex0)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27630, 27626])).
% 42.71/28.36 tff(27632,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27633,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27634,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27633, 27632])).
% 42.71/28.36 tff(27635,plain,
% 42.71/28.36 ((~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27634, 1567, 27512])).
% 42.71/28.36 tff(27636,plain,
% 42.71/28.36 (v129(constB166, bitIndex0)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27635, 27631])).
% 42.71/28.36 tff(27637,plain,
% 42.71/28.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27638,plain,
% 42.71/28.36 ((v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0))) <=> (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27639,plain,
% 42.71/28.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))))),
% 42.71/28.36 inference(monotonicity,[status(thm)],[27638])).
% 42.71/28.36 tff(27640,plain,
% 42.71/28.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 42.71/28.36 inference(transitivity,[status(thm)],[27639, 27637])).
% 42.71/28.36 tff(27641,plain,
% 42.71/28.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27642,plain,
% 42.71/28.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27641, 27640])).
% 42.71/28.36 tff(27643,plain,
% 42.71/28.36 (v90(constB166, bitIndex0) | (~v100(constB166))),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27642, 1582, 27636])).
% 42.71/28.36 tff(27644,plain,
% 42.71/28.36 (v90(constB166, bitIndex0)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27643, 27552])).
% 42.71/28.36 tff(27645,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27646,plain,
% 42.71/28.36 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)) <=> ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27647,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)))),
% 42.71/28.36 inference(monotonicity,[status(thm)],[27646])).
% 42.71/28.36 tff(27648,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 42.71/28.36 inference(transitivity,[status(thm)],[27647, 27645])).
% 42.71/28.36 tff(27649,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27650,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27649, 27648])).
% 42.71/28.36 tff(27651,plain,
% 42.71/28.36 ((~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27650, 1600, 27601])).
% 42.71/28.36 tff(27652,plain,
% 42.71/28.36 ((~v90(constB166, bitIndex0)) | v90(constB167, bitIndex0)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27651, 27613])).
% 42.71/28.36 tff(27653,plain,
% 42.71/28.36 (v90(constB167, bitIndex0)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27652, 27644])).
% 42.71/28.36 tff(27654,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27655,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27656,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27655, 27654])).
% 42.71/28.36 tff(27657,plain,
% 42.71/28.36 (~v130(constB165, bitIndex1)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27656, 1494, 27573, 27569, 27565, 27564, 27560, 27556])).
% 42.71/28.36 tff(27658,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27659,plain,
% 42.71/28.36 ((v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1))) <=> ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27660,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)))),
% 42.71/28.36 inference(monotonicity,[status(thm)],[27659])).
% 42.71/28.36 tff(27661,plain,
% 42.71/28.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 42.71/28.36 inference(transitivity,[status(thm)],[27660, 27658])).
% 42.71/28.36 tff(27662,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27663,plain,
% 42.71/28.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27662, 27661])).
% 42.71/28.36 tff(27664,plain,
% 42.71/28.36 ((~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27663, 823, 27494])).
% 42.71/28.36 tff(27665,plain,
% 42.71/28.36 (~v127(constB165, bitIndex1)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27664, 27657])).
% 42.71/28.36 tff(27666,plain,
% 42.71/28.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27667,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 42.71/28.36 inference(quant_inst,[status(thm)],[])).
% 42.71/28.36 tff(27668,plain,
% 42.71/28.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 42.71/28.36 inference(modus_ponens,[status(thm)],[27667, 27666])).
% 42.71/28.36 tff(27669,plain,
% 42.71/28.36 (v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27668, 853, 27512])).
% 42.71/28.36 tff(27670,plain,
% 42.71/28.36 (~v129(constB166, bitIndex1)),
% 42.71/28.36 inference(unit_resolution,[status(thm)],[27669, 27665])).
% 42.71/28.36 tff(27671,plain,
% 42.71/28.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 42.71/28.36 inference(rewrite,[status(thm)],[])).
% 42.71/28.36 tff(27672,plain,
% 42.71/28.36 (((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1)) <=> ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27673,plain,
% 42.71/28.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27672])).
% 42.71/28.37 tff(27674,plain,
% 42.71/28.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27673, 27671])).
% 42.71/28.37 tff(27675,plain,
% 42.71/28.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27676,plain,
% 42.71/28.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27675, 27674])).
% 42.71/28.37 tff(27677,plain,
% 42.71/28.37 ((~v90(constB166, bitIndex1)) | (~v100(constB166))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27676, 868, 27670])).
% 42.71/28.37 tff(27678,plain,
% 42.71/28.37 (~v90(constB166, bitIndex1)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27677, 27552])).
% 42.71/28.37 tff(27679,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27680,plain,
% 42.71/28.37 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))) <=> (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27681,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27680])).
% 42.71/28.37 tff(27682,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27681, 27679])).
% 42.71/28.37 tff(27683,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27684,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27683, 27682])).
% 42.71/28.37 tff(27685,plain,
% 42.71/28.37 (v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27684, 444, 27601])).
% 42.71/28.37 tff(27686,plain,
% 42.71/28.37 (v90(constB166, bitIndex1) | (~v90(constB167, bitIndex1))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27685, 27613])).
% 42.71/28.37 tff(27687,plain,
% 42.71/28.37 (~v90(constB167, bitIndex1)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27686, 27678])).
% 42.71/28.37 tff(27688,assumption,(~v120(constB167)), introduced(assumption)).
% 42.71/28.37 tff(27689,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27690,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27691,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167)),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27690, 27689])).
% 42.71/28.37 tff(27692,plain,
% 42.71/28.37 ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27691, 1619, 27688])).
% 42.71/28.37 tff(27693,plain,
% 42.71/28.37 ($false),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27692, 27687, 27653, 27622])).
% 42.71/28.37 tff(27694,plain,((~v123(constB163)) | v120(constB167) | v120(constB165)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.37 tff(27695,plain,
% 42.71/28.37 (v120(constB167)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27694, 27400, 27267])).
% 42.71/28.37 tff(27696,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB167)) | v118(constB167))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB167)) | v118(constB167))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27697,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB167)) | v118(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27698,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB167)) | v118(constB167)),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27697, 27696])).
% 42.71/28.37 tff(27699,plain,
% 42.71/28.37 (v118(constB167)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27698, 1630, 27695])).
% 42.71/28.37 tff(27700,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB167) | (~v118(constB167)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB167) | (~v118(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27701,plain,
% 42.71/28.37 (((~v118(constB167)) | v117(constB167)) <=> (v117(constB167) | (~v118(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27702,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB167)) | v117(constB167))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB167) | (~v118(constB167))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27701])).
% 42.71/28.37 tff(27703,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB167)) | v117(constB167))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB167) | (~v118(constB167)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27702, 27700])).
% 42.71/28.37 tff(27704,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB167)) | v117(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27705,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB167) | (~v118(constB167))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 42.71/28.37 tff(27706,plain,
% 42.71/28.37 (v117(constB167)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27705, 511, 27699])).
% 42.71/28.37 tff(27707,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB167) | (~v117(constB167)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB167) | (~v117(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27708,plain,
% 42.71/28.37 (((~v117(constB167)) | v116(constB167)) <=> (v116(constB167) | (~v117(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27709,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB167)) | v116(constB167))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB167) | (~v117(constB167))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27708])).
% 42.71/28.37 tff(27710,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB167)) | v116(constB167))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB167) | (~v117(constB167)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27709, 27707])).
% 42.71/28.37 tff(27711,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB167)) | v116(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27712,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB167) | (~v117(constB167))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27711, 27710])).
% 42.71/28.37 tff(27713,plain,
% 42.71/28.37 (v116(constB167)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27712, 525, 27706])).
% 42.71/28.37 tff(27714,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB167) | (~v116(constB167)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB167) | (~v116(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27715,plain,
% 42.71/28.37 (((~v116(constB167)) | v115(constB167)) <=> (v115(constB167) | (~v116(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27716,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB167)) | v115(constB167))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB167) | (~v116(constB167))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27715])).
% 42.71/28.37 tff(27717,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB167)) | v115(constB167))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB167) | (~v116(constB167)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27716, 27714])).
% 42.71/28.37 tff(27718,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB167)) | v115(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27719,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB167) | (~v116(constB167))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27718, 27717])).
% 42.71/28.37 tff(27720,plain,
% 42.71/28.37 (v115(constB167)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27719, 539, 27713])).
% 42.71/28.37 tff(27721,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB167) | (~v115(constB167)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v115(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27722,plain,
% 42.71/28.37 (((~v115(constB167)) | v114(constB167)) <=> (v114(constB167) | (~v115(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27723,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB167) | (~v115(constB167))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27722])).
% 42.71/28.37 tff(27724,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v115(constB167)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27723, 27721])).
% 42.71/28.37 tff(27725,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB167)) | v114(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27726,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v115(constB167))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27725, 27724])).
% 42.71/28.37 tff(27727,plain,
% 42.71/28.37 (v114(constB167)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27726, 553, 27720])).
% 42.71/28.37 tff(27728,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27729,plain,
% 42.71/28.37 (((~v114(constB167)) | v113(constB167)) <=> (v113(constB167) | (~v114(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27730,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v114(constB167))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27729])).
% 42.71/28.37 tff(27731,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27730, 27728])).
% 42.71/28.37 tff(27732,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27733,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27732, 27731])).
% 42.71/28.37 tff(27734,plain,
% 42.71/28.37 (v113(constB167)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27733, 567, 27727])).
% 42.71/28.37 tff(27735,assumption,(v26(constB167)), introduced(assumption)).
% 42.71/28.37 tff(27736,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27737,plain,
% 42.71/28.37 ($false),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27736, 95, 27735])).
% 42.71/28.37 tff(27738,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.37 tff(27739,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27740,plain,
% 42.71/28.37 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27741,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27740])).
% 42.71/28.37 tff(27742,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27741, 27739])).
% 42.71/28.37 tff(27743,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27744,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27743, 27742])).
% 42.71/28.37 tff(27745,plain,
% 42.71/28.37 (v112(constB167) | (~v113(constB167))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27744, 581, 27738])).
% 42.71/28.37 tff(27746,plain,
% 42.71/28.37 (v112(constB167)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27745, 27734])).
% 42.71/28.37 tff(27747,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27748,plain,
% 42.71/28.37 (((~v112(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v112(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27749,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27748])).
% 42.71/28.37 tff(27750,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27749, 27747])).
% 42.71/28.37 tff(27751,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27752,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27751, 27750])).
% 42.71/28.37 tff(27753,plain,
% 42.71/28.37 (v108(constB167)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27752, 746, 27746])).
% 42.71/28.37 tff(27754,plain,
% 42.71/28.37 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27755,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 42.71/28.37 tff(27756,plain,
% 42.71/28.37 (nextState(constB167, constB168)),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27755, 27754])).
% 42.71/28.37 tff(27757,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27758,plain,
% 42.71/28.37 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27759,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27758])).
% 42.71/28.37 tff(27760,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27759, 27757])).
% 42.71/28.37 tff(27761,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27762,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27761, 27760])).
% 42.71/28.37 tff(27763,plain,
% 42.71/28.37 (v110(constB168) | (~v108(constB167))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27762, 731, 27756])).
% 42.71/28.37 tff(27764,plain,
% 42.71/28.37 (v110(constB168)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27763, 27753])).
% 42.71/28.37 tff(27765,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27766,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27767,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27766, 27765])).
% 42.71/28.37 tff(27768,plain,
% 42.71/28.37 (~v104(constB168)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27767, 659, 27756, 27598])).
% 42.71/28.37 tff(27769,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27770,plain,
% 42.71/28.37 (((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)) <=> ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27771,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168)))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27770])).
% 42.71/28.37 tff(27772,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27771, 27769])).
% 42.71/28.37 tff(27773,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27774,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168)),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27773, 27772])).
% 42.71/28.37 tff(27775,plain,
% 42.71/28.37 (v104(constB168) | v102(constB168)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27774, 673, 27756])).
% 42.71/28.37 tff(27776,plain,
% 42.71/28.37 (v102(constB168)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27775, 27768])).
% 42.71/28.37 tff(27777,plain,
% 42.71/28.37 (v1(constB168) <=> v1(constB168)),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27778,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 42.71/28.37 tff(27779,plain,
% 42.71/28.37 (v1(constB168)),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27778, 27777])).
% 42.71/28.37 tff(27780,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27781,plain,
% 42.71/28.37 (((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))) <=> ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27782,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27781])).
% 42.71/28.37 tff(27783,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27782, 27780])).
% 42.71/28.37 tff(27784,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27785,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27784, 27783])).
% 42.71/28.37 tff(27786,plain,
% 42.71/28.37 (v101(constB168) | (~v102(constB168))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27785, 694, 27756, 27779])).
% 42.71/28.37 tff(27787,plain,
% 42.71/28.37 (v101(constB168)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27786, 27776])).
% 42.71/28.37 tff(27788,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27789,plain,
% 42.71/28.37 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27790,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27789])).
% 42.71/28.37 tff(27791,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27790, 27788])).
% 42.71/28.37 tff(27792,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27793,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27792, 27791])).
% 42.71/28.37 tff(27794,plain,
% 42.71/28.37 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27793, 712, 27756])).
% 42.71/28.37 tff(27795,plain,
% 42.71/28.37 (v100(constB168) | (~v110(constB168))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27794, 27787])).
% 42.71/28.37 tff(27796,plain,
% 42.71/28.37 (v100(constB168)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27795, 27764])).
% 42.71/28.37 tff(27797,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v130(constB167, bitIndex2)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27798,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex2)))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27799,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v130(constB167, bitIndex2))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27798, 27797])).
% 42.71/28.37 tff(27800,plain,
% 42.71/28.37 (~v130(constB167, bitIndex2)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27799, 1732, 27695])).
% 42.71/28.37 tff(27801,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27802,plain,
% 42.71/28.37 ((v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2))) <=> ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27803,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2)))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27802])).
% 42.71/28.37 tff(27804,plain,
% 42.71/28.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27803, 27801])).
% 42.71/28.37 tff(27805,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27806,plain,
% 42.71/28.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2)),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27805, 27804])).
% 42.71/28.37 tff(27807,plain,
% 42.71/28.37 ((~v127(constB167, bitIndex2)) | v130(constB167, bitIndex2)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27806, 1419, 27738])).
% 42.71/28.37 tff(27808,plain,
% 42.71/28.37 (~v127(constB167, bitIndex2)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27807, 27800])).
% 42.71/28.37 tff(27809,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27810,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27811,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27810, 27809])).
% 42.71/28.37 tff(27812,plain,
% 42.71/28.37 (v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27811, 1437, 27756])).
% 42.71/28.37 tff(27813,plain,
% 42.71/28.37 (~v129(constB168, bitIndex2)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27812, 27808])).
% 42.71/28.37 tff(27814,plain,
% 42.71/28.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27815,plain,
% 42.71/28.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27816,plain,
% 42.71/28.37 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27815, 27814])).
% 42.71/28.37 tff(27817,plain,
% 42.71/28.37 ((~v90(constB168, bitIndex2)) | (~v100(constB168))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27816, 1452, 27813])).
% 42.71/28.37 tff(27818,plain,
% 42.71/28.37 (~v90(constB168, bitIndex2)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27817, 27796])).
% 42.71/28.37 tff(27819,plain,
% 42.71/28.37 ((~v1(constB169)) <=> (~v1(constB169))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27820,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 42.71/28.37 tff(27821,plain,
% 42.71/28.37 (~v1(constB169)),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27820, 27819])).
% 42.71/28.37 tff(27822,plain,
% 42.71/28.37 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27823,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 42.71/28.37 tff(27824,plain,
% 42.71/28.37 (nextState(constB168, constB169)),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27823, 27822])).
% 42.71/28.37 tff(27825,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27826,plain,
% 42.71/28.37 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27827,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 42.71/28.37 inference(monotonicity,[status(thm)],[27826])).
% 42.71/28.37 tff(27828,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 42.71/28.37 inference(transitivity,[status(thm)],[27827, 27825])).
% 42.71/28.37 tff(27829,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27830,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27829, 27828])).
% 42.71/28.37 tff(27831,plain,
% 42.71/28.37 (~v101(constB169)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27830, 391, 27824, 27821])).
% 42.71/28.37 tff(27832,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 42.71/28.37 inference(rewrite,[status(thm)],[])).
% 42.71/28.37 tff(27833,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 42.71/28.37 inference(quant_inst,[status(thm)],[])).
% 42.71/28.37 tff(27834,plain,
% 42.71/28.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 42.71/28.37 inference(modus_ponens,[status(thm)],[27833, 27832])).
% 42.71/28.37 tff(27835,plain,
% 42.71/28.37 (v101(constB169) | (~v100(constB169))),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27834, 408, 27824])).
% 42.71/28.37 tff(27836,plain,
% 42.71/28.37 (~v100(constB169)),
% 42.71/28.37 inference(unit_resolution,[status(thm)],[27835, 27831])).
% 42.71/28.37 tff(27837,plain,
% 42.71/28.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27838,plain,
% 42.71/28.38 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27839,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2))))),
% 42.71/28.38 inference(monotonicity,[status(thm)],[27838])).
% 42.71/28.38 tff(27840,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 42.71/28.38 inference(transitivity,[status(thm)],[27839, 27837])).
% 42.71/28.38 tff(27841,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27842,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27841, 27840])).
% 42.71/28.38 tff(27843,plain,
% 42.71/28.38 (v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27842, 423, 27824])).
% 42.71/28.38 tff(27844,plain,
% 42.71/28.38 (v90(constB168, bitIndex2) | (~v90(constB169, bitIndex2))),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27843, 27836])).
% 42.71/28.38 tff(27845,plain,
% 42.71/28.38 (~v90(constB169, bitIndex2)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27844, 27818])).
% 42.71/28.38 tff(27846,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27847,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27848,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27847, 27846])).
% 42.71/28.38 tff(27849,plain,
% 42.71/28.38 (~v88(constB169, bitIndex2)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27848, 14456, 27845])).
% 42.71/28.38 tff(27850,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB167)) | (~v130(constB167, bitIndex0)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27851,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex0)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27852,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB167)) | (~v130(constB167, bitIndex0))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27851, 27850])).
% 42.71/28.38 tff(27853,plain,
% 42.71/28.38 (~v130(constB167, bitIndex0)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27852, 1826, 27695])).
% 42.71/28.38 tff(27854,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27855,plain,
% 42.71/28.38 ((v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0))) <=> ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27856,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)))),
% 42.71/28.38 inference(monotonicity,[status(thm)],[27855])).
% 42.71/28.38 tff(27857,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 42.71/28.38 inference(transitivity,[status(thm)],[27856, 27854])).
% 42.71/28.38 tff(27858,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27859,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27858, 27857])).
% 42.71/28.38 tff(27860,plain,
% 42.71/28.38 ((~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27859, 907, 27738])).
% 42.71/28.38 tff(27861,plain,
% 42.71/28.38 (~v127(constB167, bitIndex0)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27860, 27853])).
% 42.71/28.38 tff(27862,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27863,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27864,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27863, 27862])).
% 42.71/28.38 tff(27865,plain,
% 42.71/28.38 (v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27864, 937, 27756])).
% 42.71/28.38 tff(27866,plain,
% 42.71/28.38 (~v129(constB168, bitIndex0)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27865, 27861])).
% 42.71/28.38 tff(27867,plain,
% 42.71/28.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27868,plain,
% 42.71/28.38 (((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27869,plain,
% 42.71/28.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))))),
% 42.71/28.38 inference(monotonicity,[status(thm)],[27868])).
% 42.71/28.38 tff(27870,plain,
% 42.71/28.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 42.71/28.38 inference(transitivity,[status(thm)],[27869, 27867])).
% 42.71/28.38 tff(27871,plain,
% 42.71/28.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27872,plain,
% 42.71/28.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27871, 27870])).
% 42.71/28.38 tff(27873,plain,
% 42.71/28.38 ((~v90(constB168, bitIndex0)) | (~v100(constB168))),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27872, 952, 27866])).
% 42.71/28.38 tff(27874,plain,
% 42.71/28.38 (~v90(constB168, bitIndex0)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27873, 27796])).
% 42.71/28.38 tff(27875,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27876,plain,
% 42.71/28.38 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27877,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))))),
% 42.71/28.38 inference(monotonicity,[status(thm)],[27876])).
% 42.71/28.38 tff(27878,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 42.71/28.38 inference(transitivity,[status(thm)],[27877, 27875])).
% 42.71/28.38 tff(27879,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27880,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27879, 27878])).
% 42.71/28.38 tff(27881,plain,
% 42.71/28.38 (v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27880, 465, 27824])).
% 42.71/28.38 tff(27882,plain,
% 42.71/28.38 (v90(constB168, bitIndex0) | (~v90(constB169, bitIndex0))),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27881, 27836])).
% 42.71/28.38 tff(27883,plain,
% 42.71/28.38 (~v90(constB169, bitIndex0)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27882, 27874])).
% 42.71/28.38 tff(27884,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27885,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27886,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27885, 27884])).
% 42.71/28.38 tff(27887,plain,
% 42.71/28.38 (~v88(constB169, bitIndex0)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27886, 14501, 27883])).
% 42.71/28.38 tff(27888,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27889,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27890,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27889, 27888])).
% 42.71/28.38 tff(27891,plain,
% 42.71/28.38 (v130(constB167, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27890, 1788, 27695])).
% 42.71/28.38 tff(27892,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27893,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27894,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27893, 27892])).
% 42.71/28.38 tff(27895,plain,
% 42.71/28.38 ((~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27894, 1144, 27738])).
% 42.71/28.38 tff(27896,plain,
% 42.71/28.38 (v127(constB167, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27895, 27891])).
% 42.71/28.38 tff(27897,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27898,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27899,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27898, 27897])).
% 42.71/28.38 tff(27900,plain,
% 42.71/28.38 ((~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27899, 1159, 27756])).
% 42.71/28.38 tff(27901,plain,
% 42.71/28.38 (v129(constB168, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27900, 27896])).
% 42.71/28.38 tff(27902,plain,
% 42.71/28.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27903,plain,
% 42.71/28.38 ((v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1))) <=> (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27904,plain,
% 42.71/28.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))))),
% 42.71/28.38 inference(monotonicity,[status(thm)],[27903])).
% 42.71/28.38 tff(27905,plain,
% 42.71/28.38 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 42.71/28.38 inference(transitivity,[status(thm)],[27904, 27902])).
% 42.71/28.38 tff(27906,plain,
% 42.71/28.38 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27907,plain,
% 42.71/28.38 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27906, 27905])).
% 42.71/28.38 tff(27908,plain,
% 42.71/28.38 (v90(constB168, bitIndex1) | (~v100(constB168))),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27907, 1174, 27901])).
% 42.71/28.38 tff(27909,plain,
% 42.71/28.38 (v90(constB168, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27908, 27796])).
% 42.71/28.38 tff(27910,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27911,plain,
% 42.71/28.38 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)) <=> ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27912,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)))),
% 42.71/28.38 inference(monotonicity,[status(thm)],[27911])).
% 42.71/28.38 tff(27913,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 42.71/28.38 inference(transitivity,[status(thm)],[27912, 27910])).
% 42.71/28.38 tff(27914,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27915,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27914, 27913])).
% 42.71/28.38 tff(27916,plain,
% 42.71/28.38 ((~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27915, 1192, 27824])).
% 42.71/28.38 tff(27917,plain,
% 42.71/28.38 ((~v90(constB168, bitIndex1)) | v90(constB169, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27916, 27836])).
% 42.71/28.38 tff(27918,plain,
% 42.71/28.38 (v90(constB169, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27917, 27909])).
% 42.71/28.38 tff(27919,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27920,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27921,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27920, 27919])).
% 42.71/28.38 tff(27922,plain,
% 42.71/28.38 (v88(constB169, bitIndex1)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27921, 14543, 27918])).
% 42.71/28.38 tff(27923,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v143(constB169))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v143(constB169))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27924,plain,
% 42.71/28.38 ((v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v143(constB169)) <=> (v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v143(constB169))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27925,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v143(constB169))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v143(constB169)))),
% 42.71/28.38 inference(monotonicity,[status(thm)],[27924])).
% 42.71/28.38 tff(27926,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v143(constB169))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v143(constB169))),
% 42.71/28.38 inference(transitivity,[status(thm)],[27925, 27923])).
% 42.71/28.38 tff(27927,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v143(constB169))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27928,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)) | v143(constB169)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27927, 27926])).
% 42.71/28.38 tff(27929,plain,
% 42.71/28.38 (v143(constB169)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27928, 14557, 27922, 27887, 27849])).
% 42.71/28.38 tff(27930,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB169)) | v142(constB169))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB169)) | v142(constB169))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27931,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB169)) | v142(constB169))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27932,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB169)) | v142(constB169)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27931, 27930])).
% 42.71/28.38 tff(27933,plain,
% 42.71/28.38 (v142(constB169)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27932, 14571, 27929])).
% 42.71/28.38 tff(27934,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB169)) | v167(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB169)) | v167(constB169))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27935,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB169)) | v167(constB169))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27936,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB169)) | v167(constB169)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27935, 27934])).
% 42.71/28.38 tff(27937,plain,
% 42.71/28.38 (v167(constB169)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27936, 14582, 27933])).
% 42.71/28.38 tff(27938,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB169)) | (~v170(constB169)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB169)) | (~v170(constB169)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27939,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB169)) | (~v170(constB169)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27940,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB169)) | (~v170(constB169))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27939, 27938])).
% 42.71/28.38 tff(27941,plain,
% 42.71/28.38 (~v170(constB169)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27940, 14593, 27937])).
% 42.71/28.38 tff(27942,plain,
% 42.71/28.38 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB169) | (~v167(constB169)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB169) | (~v167(constB169)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27943,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB169) | (~v167(constB169)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27944,plain,
% 42.71/28.38 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB169) | (~v167(constB169))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27943, 27942])).
% 42.71/28.38 tff(27945,plain,
% 42.71/28.38 (v166(constB169)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27944, 14607, 27937])).
% 42.71/28.38 tff(27946,plain,
% 42.71/28.38 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB169)) | (~v166(constB169)) | v170(constB169))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB169)) | (~v166(constB169)) | v170(constB169))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27947,plain,
% 42.71/28.38 (((~v166(constB169)) | v170(constB169) | (~v163(constB169))) <=> ((~v163(constB169)) | (~v166(constB169)) | v170(constB169))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27948,plain,
% 42.71/28.38 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB169)) | v170(constB169) | (~v163(constB169)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB169)) | (~v166(constB169)) | v170(constB169)))),
% 42.71/28.38 inference(monotonicity,[status(thm)],[27947])).
% 42.71/28.38 tff(27949,plain,
% 42.71/28.38 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB169)) | v170(constB169) | (~v163(constB169)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB169)) | (~v166(constB169)) | v170(constB169))),
% 42.71/28.38 inference(transitivity,[status(thm)],[27948, 27946])).
% 42.71/28.38 tff(27950,plain,
% 42.71/28.38 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB169)) | v170(constB169) | (~v163(constB169)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27951,plain,
% 42.71/28.38 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB169)) | (~v166(constB169)) | v170(constB169)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27950, 27949])).
% 42.71/28.38 tff(27952,plain,
% 42.71/28.38 (~v163(constB169)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27951, 14621, 27945, 27941])).
% 42.71/28.38 tff(27953,plain,
% 42.71/28.38 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27954,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 42.71/28.38 tff(27955,plain,
% 42.71/28.38 (nextState(constB169, constB170)),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27954, 27953])).
% 42.71/28.38 tff(27956,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27957,plain,
% 42.71/28.38 (((~nextState(constB169, constB170)) | v163(constB169) | (~v186(constB170))) <=> (v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27958,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB169, constB170)) | v163(constB169) | (~v186(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170))))),
% 42.71/28.38 inference(monotonicity,[status(thm)],[27957])).
% 42.71/28.38 tff(27959,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB169, constB170)) | v163(constB169) | (~v186(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170)))),
% 42.71/28.38 inference(transitivity,[status(thm)],[27958, 27956])).
% 42.71/28.38 tff(27960,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB169, constB170)) | v163(constB169) | (~v186(constB170)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27961,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27960, 27959])).
% 42.71/28.38 tff(27962,plain,
% 42.71/28.38 (v163(constB169) | (~v186(constB170))),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27961, 14641, 27955])).
% 42.71/28.38 tff(27963,plain,
% 42.71/28.38 (~v186(constB170)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27962, 27952])).
% 42.71/28.38 tff(27964,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 42.71/28.38 inference(rewrite,[status(thm)],[])).
% 42.71/28.38 tff(27965,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 42.71/28.38 inference(quant_inst,[status(thm)],[])).
% 42.71/28.38 tff(27966,plain,
% 42.71/28.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 42.71/28.38 inference(modus_ponens,[status(thm)],[27965, 27964])).
% 42.71/28.38 tff(27967,plain,
% 42.71/28.38 (~v104(constB170)),
% 42.71/28.38 inference(unit_resolution,[status(thm)],[27966, 659, 27955, 27821])).
% 42.71/28.38 tff(27968,plain,
% 42.71/28.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v181(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB169, constB170)) | v181(constB170) | v104(constB170))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(27969,plain,
% 42.71/28.39 (((~nextState(constB169, constB170)) | v104(constB170) | v181(constB170)) <=> ((~nextState(constB169, constB170)) | v181(constB170) | v104(constB170))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(27970,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v181(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v181(constB170) | v104(constB170)))),
% 42.71/28.39 inference(monotonicity,[status(thm)],[27969])).
% 42.71/28.39 tff(27971,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v181(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB169, constB170)) | v181(constB170) | v104(constB170))),
% 42.71/28.39 inference(transitivity,[status(thm)],[27970, 27968])).
% 42.71/28.39 tff(27972,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v181(constB170))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(27973,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB169, constB170)) | v181(constB170) | v104(constB170)),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[27972, 27971])).
% 42.71/28.39 tff(27974,plain,
% 42.71/28.39 (v181(constB170) | v104(constB170)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[27973, 14663, 27955])).
% 42.71/28.39 tff(27975,plain,
% 42.71/28.39 (v181(constB170)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[27974, 27967])).
% 42.71/28.39 tff(27976,plain,
% 42.71/28.39 (v1(constB170) <=> v1(constB170)),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(27977,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 42.71/28.39 tff(27978,plain,
% 42.71/28.39 (v1(constB170)),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[27977, 27976])).
% 42.71/28.39 tff(27979,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(27980,plain,
% 42.71/28.39 (((~nextState(constB169, constB170)) | (~v1(constB170)) | v180(constB170) | (~v181(constB170))) <=> ((~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(27981,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v180(constB170) | (~v181(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170))))),
% 42.71/28.39 inference(monotonicity,[status(thm)],[27980])).
% 42.71/28.39 tff(27982,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v180(constB170) | (~v181(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170)))),
% 42.71/28.39 inference(transitivity,[status(thm)],[27981, 27979])).
% 42.71/28.39 tff(27983,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v180(constB170) | (~v181(constB170)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(27984,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[27983, 27982])).
% 42.71/28.39 tff(27985,plain,
% 42.71/28.39 (v180(constB170) | (~v181(constB170))),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[27984, 14684, 27955, 27978])).
% 42.71/28.39 tff(27986,plain,
% 42.71/28.39 (v180(constB170)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[27985, 27975])).
% 42.71/28.39 tff(27987,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(27988,plain,
% 42.71/28.39 (((~nextState(constB169, constB170)) | (~v180(constB170)) | v179(constB170)) <=> ((~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(27989,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | (~v180(constB170)) | v179(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170))))),
% 42.71/28.39 inference(monotonicity,[status(thm)],[27988])).
% 42.71/28.39 tff(27990,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | (~v180(constB170)) | v179(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170)))),
% 42.71/28.39 inference(transitivity,[status(thm)],[27989, 27987])).
% 42.71/28.39 tff(27991,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | (~v180(constB170)) | v179(constB170))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(27992,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[27991, 27990])).
% 42.71/28.39 tff(27993,plain,
% 42.71/28.39 (v179(constB170) | (~v180(constB170))),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[27992, 14702, 27955])).
% 42.71/28.39 tff(27994,plain,
% 42.71/28.39 (v179(constB170)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[27993, 27986])).
% 42.71/28.39 tff(27995,plain,
% 42.71/28.39 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB170) | (~v159(constB170)) | (~v179(constB170)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB170) | (~v159(constB170)) | (~v179(constB170)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(27996,plain,
% 42.71/28.39 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB170) | (~v159(constB170)) | (~v179(constB170)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(27997,plain,
% 42.71/28.39 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB170) | (~v159(constB170)) | (~v179(constB170))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[27996, 27995])).
% 42.71/28.39 tff(27998,plain,
% 42.71/28.39 (v186(constB170) | (~v159(constB170))),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[27997, 14720, 27994])).
% 42.71/28.39 tff(27999,plain,
% 42.71/28.39 (~v159(constB170)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[27998, 27963])).
% 42.71/28.39 tff(28000,plain,
% 42.71/28.39 ((~v1(constB171)) <=> (~v1(constB171))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28001,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 42.71/28.39 tff(28002,plain,
% 42.71/28.39 (~v1(constB171)),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28001, 28000])).
% 42.71/28.39 tff(28003,plain,
% 42.71/28.39 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28004,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 42.71/28.39 tff(28005,plain,
% 42.71/28.39 (nextState(constB170, constB171)),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28004, 28003])).
% 42.71/28.39 tff(28006,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28007,plain,
% 42.71/28.39 (((~nextState(constB170, constB171)) | v1(constB171) | (~v180(constB171))) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28008,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v1(constB171) | (~v180(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171))))),
% 42.71/28.39 inference(monotonicity,[status(thm)],[28007])).
% 42.71/28.39 tff(28009,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v1(constB171) | (~v180(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171)))),
% 42.71/28.39 inference(transitivity,[status(thm)],[28008, 28006])).
% 42.71/28.39 tff(28010,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v1(constB171) | (~v180(constB171)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28011,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28010, 28009])).
% 42.71/28.39 tff(28012,plain,
% 42.71/28.39 (~v180(constB171)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28011, 14741, 28005, 28002])).
% 42.71/28.39 tff(28013,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB170, constB171)) | v180(constB171) | (~v179(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB170, constB171)) | v180(constB171) | (~v179(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28014,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB170, constB171)) | v180(constB171) | (~v179(constB171)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28015,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB170, constB171)) | v180(constB171) | (~v179(constB171))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28014, 28013])).
% 42.71/28.39 tff(28016,plain,
% 42.71/28.39 (v180(constB171) | (~v179(constB171))),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28015, 14758, 28005])).
% 42.71/28.39 tff(28017,plain,
% 42.71/28.39 (~v179(constB171)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28016, 28012])).
% 42.71/28.39 tff(28018,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28019,plain,
% 42.71/28.39 (((~nextState(constB170, constB171)) | v179(constB171) | v159(constB170) | (~v159(constB171))) <=> (v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28020,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB170, constB171)) | v179(constB171) | v159(constB170) | (~v159(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171))))),
% 42.71/28.39 inference(monotonicity,[status(thm)],[28019])).
% 42.71/28.39 tff(28021,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB170, constB171)) | v179(constB171) | v159(constB170) | (~v159(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171)))),
% 42.71/28.39 inference(transitivity,[status(thm)],[28020, 28018])).
% 42.71/28.39 tff(28022,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB170, constB171)) | v179(constB171) | v159(constB170) | (~v159(constB171)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28023,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28022, 28021])).
% 42.71/28.39 tff(28024,plain,
% 42.71/28.39 (v159(constB170) | v179(constB171) | (~v159(constB171))),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28023, 14773, 28005])).
% 42.71/28.39 tff(28025,plain,
% 42.71/28.39 (v159(constB170) | (~v159(constB171))),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28024, 28017])).
% 42.71/28.39 tff(28026,plain,
% 42.71/28.39 (~v159(constB171)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28025, 27999])).
% 42.71/28.39 tff(28027,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB171) | (~v201(constB171)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB171) | (~v201(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28028,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB171) | (~v201(constB171)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28029,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB171) | (~v201(constB171))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28028, 28027])).
% 42.71/28.39 tff(28030,plain,
% 42.71/28.39 (~v201(constB171)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28029, 14792, 28026])).
% 42.71/28.39 tff(28031,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB171) | (~v200(constB171)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB171) | (~v200(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28032,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB171) | (~v200(constB171)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28033,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB171) | (~v200(constB171))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28032, 28031])).
% 42.71/28.39 tff(28034,plain,
% 42.71/28.39 (~v200(constB171)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28033, 14806, 28030])).
% 42.71/28.39 tff(28035,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB171) | (~v198(constB171)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB171) | (~v198(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28036,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB171) | (~v198(constB171)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28037,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB171) | (~v198(constB171))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28036, 28035])).
% 42.71/28.39 tff(28038,plain,
% 42.71/28.39 (~v198(constB171)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28037, 14820, 28034])).
% 42.71/28.39 tff(28039,assumption,(v18(constB172)), introduced(assumption)).
% 42.71/28.39 tff(28040,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB172))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28041,plain,
% 42.71/28.39 ($false),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28040, 138, 28039])).
% 42.71/28.39 tff(28042,plain,(~v18(constB172)), inference(lemma,lemma(discharge,[]))).
% 42.71/28.39 tff(28043,plain,
% 42.71/28.39 (v1(constB172) <=> v1(constB172)),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28044,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 42.71/28.39 tff(28045,plain,
% 42.71/28.39 (v1(constB172)),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28044, 28043])).
% 42.71/28.39 tff(28046,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28047,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28048,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28047, 28046])).
% 42.71/28.39 tff(28049,plain,
% 42.71/28.39 (v22(constB172)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28048, 154, 28045])).
% 42.71/28.39 tff(28050,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB172) | (~v22(constB172)) | (~v19(constB172)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB172) | (~v22(constB172)) | (~v19(constB172)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28051,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB172) | (~v22(constB172)) | (~v19(constB172)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28052,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB172) | (~v22(constB172)) | (~v19(constB172))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28051, 28050])).
% 42.71/28.39 tff(28053,plain,
% 42.71/28.39 (v18(constB172) | (~v19(constB172))),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28052, 168, 28049])).
% 42.71/28.39 tff(28054,plain,
% 42.71/28.39 (~v19(constB172)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28053, 28042])).
% 42.71/28.39 tff(28055,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28056,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28057,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172)),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28056, 28055])).
% 42.71/28.39 tff(28058,plain,
% 42.71/28.39 (v13(constB172)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28057, 180, 28054])).
% 42.71/28.39 tff(28059,plain,
% 42.71/28.39 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28060,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 42.71/28.39 tff(28061,plain,
% 42.71/28.39 (nextState(constB171, constB172)),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28060, 28059])).
% 42.71/28.39 tff(28062,plain,
% 42.71/28.39 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28063,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28064,plain,
% 42.71/28.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172))),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28063, 28062])).
% 42.71/28.39 tff(28065,plain,
% 42.71/28.39 (v9(constB171) | (~v13(constB172))),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28064, 197, 28061])).
% 42.71/28.39 tff(28066,plain,
% 42.71/28.39 (v9(constB171)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28065, 28058])).
% 42.71/28.39 tff(28067,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v197(constB171))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB171) | (~v9(constB171)) | v197(constB171))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28068,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v197(constB171))),
% 42.71/28.39 inference(quant_inst,[status(thm)],[])).
% 42.71/28.39 tff(28069,plain,
% 42.71/28.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB171) | (~v9(constB171)) | v197(constB171)),
% 42.71/28.39 inference(modus_ponens,[status(thm)],[28068, 28067])).
% 42.71/28.39 tff(28070,plain,
% 42.71/28.39 ((~v9(constB171)) | v197(constB171)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28069, 15020, 28002])).
% 42.71/28.39 tff(28071,plain,
% 42.71/28.39 (v197(constB171)),
% 42.71/28.39 inference(unit_resolution,[status(thm)],[28070, 28066])).
% 42.71/28.39 tff(28072,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB171) | (~v197(constB171)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB171) | (~v197(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28073,plain,
% 42.71/28.39 (((~v197(constB171)) | v196(constB171)) <=> (v196(constB171) | (~v197(constB171)))),
% 42.71/28.39 inference(rewrite,[status(thm)],[])).
% 42.71/28.39 tff(28074,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB171)) | v196(constB171))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB171) | (~v197(constB171))))),
% 42.71/28.39 inference(monotonicity,[status(thm)],[28073])).
% 42.71/28.39 tff(28075,plain,
% 42.71/28.39 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB171)) | v196(constB171))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB171) | (~v197(constB171)))),
% 42.80/28.39 inference(transitivity,[status(thm)],[28074, 28072])).
% 42.80/28.39 tff(28076,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB171)) | v196(constB171))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28077,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB171) | (~v197(constB171))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28076, 28075])).
% 42.80/28.39 tff(28078,plain,
% 42.80/28.39 (v196(constB171)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28077, 15032, 28071])).
% 42.80/28.39 tff(28079,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB171)) | (~v196(constB171)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB171)) | (~v196(constB171)))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28080,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB171)) | (~v196(constB171)))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28081,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB171)) | (~v196(constB171))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28080, 28079])).
% 42.80/28.39 tff(28082,plain,
% 42.80/28.39 (~v194(constB171)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28081, 15046, 28078])).
% 42.80/28.39 tff(28083,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB171) | v198(constB171) | (~v191(constB171)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB171) | v198(constB171) | (~v191(constB171)))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28084,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB171) | v198(constB171) | (~v191(constB171)))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28085,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB171) | v198(constB171) | (~v191(constB171))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28084, 28083])).
% 42.80/28.39 tff(28086,plain,
% 42.80/28.39 (v198(constB171) | (~v191(constB171))),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28085, 15060, 28082])).
% 42.80/28.39 tff(28087,plain,
% 42.80/28.39 (~v191(constB171)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28086, 28038])).
% 42.80/28.39 tff(28088,plain,
% 42.80/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB171, constB172)) | v191(constB171) | (~v193(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB171, constB172)) | v191(constB171) | (~v193(constB172)))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28089,plain,
% 42.80/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB171, constB172)) | v191(constB171) | (~v193(constB172)))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28090,plain,
% 42.80/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB171, constB172)) | v191(constB171) | (~v193(constB172))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28089, 28088])).
% 42.80/28.39 tff(28091,plain,
% 42.80/28.39 (v191(constB171) | (~v193(constB172))),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28090, 15075, 28061])).
% 42.80/28.39 tff(28092,plain,
% 42.80/28.39 (~v193(constB172)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28091, 28087])).
% 42.80/28.39 tff(28093,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB172) | (~v194(constB172)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB172) | (~v194(constB172)))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28094,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB172) | (~v194(constB172)))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28095,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB172) | (~v194(constB172))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28094, 28093])).
% 42.80/28.39 tff(28096,plain,
% 42.80/28.39 (~v194(constB172)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28095, 15090, 28092])).
% 42.80/28.39 tff(28097,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB172)) | (~v197(constB172)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB172)) | (~v197(constB172)))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28098,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB172)) | (~v197(constB172)))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28099,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB172)) | (~v197(constB172))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28098, 28097])).
% 42.80/28.39 tff(28100,plain,
% 42.80/28.39 (~v197(constB172)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28099, 59, 28045])).
% 42.80/28.39 tff(28101,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB172) | (~v200(constB172)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB172) | (~v200(constB172)))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28102,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB172) | (~v200(constB172)))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28103,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB172) | (~v200(constB172))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28102, 28101])).
% 42.80/28.39 tff(28104,plain,
% 42.80/28.39 (~v200(constB172)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28103, 15108, 28100])).
% 42.80/28.39 tff(28105,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB172) | (~v198(constB172)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB172) | (~v198(constB172)))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28106,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB172) | (~v198(constB172)))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28107,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB172) | (~v198(constB172))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 42.80/28.39 tff(28108,plain,
% 42.80/28.39 (~v198(constB172)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28107, 14820, 28104])).
% 42.80/28.39 tff(28109,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB172) | v198(constB172) | (~v191(constB172)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB172) | v198(constB172) | (~v191(constB172)))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28110,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB172) | v198(constB172) | (~v191(constB172)))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28111,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB172) | v198(constB172) | (~v191(constB172))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28110, 28109])).
% 42.80/28.39 tff(28112,plain,
% 42.80/28.39 (v194(constB172) | (~v191(constB172))),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28111, 15060, 28108])).
% 42.80/28.39 tff(28113,plain,
% 42.80/28.39 (~v191(constB172)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28112, 28096])).
% 42.80/28.39 tff(28114,plain,
% 42.80/28.39 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28115,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 42.80/28.39 tff(28116,plain,
% 42.80/28.39 (nextState(constB172, constB173)),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28115, 28114])).
% 42.80/28.39 tff(28117,plain,
% 42.80/28.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB172, constB173)) | v191(constB172) | (~v193(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB172, constB173)) | v191(constB172) | (~v193(constB173)))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28118,plain,
% 42.80/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB172, constB173)) | v191(constB172) | (~v193(constB173)))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28119,plain,
% 42.80/28.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB172, constB173)) | v191(constB172) | (~v193(constB173))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28118, 28117])).
% 42.80/28.39 tff(28120,plain,
% 42.80/28.39 (v191(constB172) | (~v193(constB173))),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28119, 15075, 28116])).
% 42.80/28.39 tff(28121,plain,
% 42.80/28.39 (~v193(constB173)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28120, 28113])).
% 42.80/28.39 tff(28122,plain,
% 42.80/28.39 ($false),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28121, 16066])).
% 42.80/28.39 tff(28123,plain,(~(constB173 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.39 tff(28124,assumption,(constB50 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.39 tff(28125,plain,
% 42.80/28.39 (v1(constB50) <=> v1(sK0_VarCurr)),
% 42.80/28.39 inference(monotonicity,[status(thm)],[28124])).
% 42.80/28.39 tff(28126,plain,
% 42.80/28.39 (v1(sK0_VarCurr) <=> v1(constB50)),
% 42.80/28.39 inference(symmetry,[status(thm)],[28125])).
% 42.80/28.39 tff(28127,plain,
% 42.80/28.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB50))),
% 42.80/28.39 inference(monotonicity,[status(thm)],[28126])).
% 42.80/28.39 tff(28128,plain,
% 42.80/28.39 (~v1(constB50)),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[63, 28127])).
% 42.80/28.39 tff(28129,plain,
% 42.80/28.39 ($false),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[6566, 28128])).
% 42.80/28.39 tff(28130,plain,(~(constB50 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.39 tff(28131,assumption,(constB29 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.39 tff(28132,plain,
% 42.80/28.39 (v193(constB29) <=> v193(sK0_VarCurr)),
% 42.80/28.39 inference(monotonicity,[status(thm)],[28131])).
% 42.80/28.39 tff(28133,plain,
% 42.80/28.39 (v193(sK0_VarCurr) <=> v193(constB29)),
% 42.80/28.39 inference(symmetry,[status(thm)],[28132])).
% 42.80/28.39 tff(28134,plain,
% 42.80/28.39 (v193(constB29)),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[86, 28133])).
% 42.80/28.39 tff(28135,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28136,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28137,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0)),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28136, 28135])).
% 42.80/28.39 tff(28138,plain,
% 42.80/28.39 (~v88(constB25, bitIndex0)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28137, 14501, 3848])).
% 42.80/28.39 tff(28139,plain,
% 42.80/28.39 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 42.80/28.39 inference(bind,[status(th)],[])).
% 42.80/28.39 tff(28140,plain,
% 42.80/28.39 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 42.80/28.39 inference(quant_intro,[status(thm)],[28139])).
% 42.80/28.39 tff(28141,plain,
% 42.80/28.39 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28142,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 42.80/28.39 tff(28143,plain,
% 42.80/28.39 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28142, 28141])).
% 42.80/28.39 tff(28144,plain,(
% 42.80/28.39 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 42.80/28.39 inference(skolemize,[status(sab)],[28143])).
% 42.80/28.39 tff(28145,plain,
% 42.80/28.39 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28144, 28140])).
% 42.80/28.39 tff(28146,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28147,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28148,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2)),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28147, 28146])).
% 42.80/28.39 tff(28149,plain,
% 42.80/28.39 (v88(constB25, bitIndex2)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28148, 28145, 3842])).
% 42.80/28.39 tff(28150,plain,
% 42.80/28.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28151,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 42.80/28.39 inference(quant_inst,[status(thm)],[])).
% 42.80/28.39 tff(28152,plain,
% 42.80/28.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1)),
% 42.80/28.39 inference(modus_ponens,[status(thm)],[28151, 28150])).
% 42.80/28.39 tff(28153,plain,
% 42.80/28.39 (v88(constB25, bitIndex1)),
% 42.80/28.39 inference(unit_resolution,[status(thm)],[28152, 14543, 3513])).
% 42.80/28.39 tff(28154,plain,
% 42.80/28.39 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)))),
% 42.80/28.39 inference(bind,[status(th)],[])).
% 42.80/28.39 tff(28155,plain,
% 42.80/28.39 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 42.80/28.39 inference(quant_intro,[status(thm)],[28154])).
% 42.80/28.39 tff(28156,plain,
% 42.80/28.39 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 42.80/28.39 inference(rewrite,[status(thm)],[])).
% 42.80/28.39 tff(28157,plain,
% 42.80/28.39 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) <=> ((~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) <=> (((~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))))), rewrite((((~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)))), ((((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v144(VarCurr)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))), ((((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))))),
% 42.80/28.40 inference(bind,[status(th)],[])).
% 42.80/28.40 tff(28158,plain,
% 42.80/28.40 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 42.80/28.40 inference(quant_intro,[status(thm)],[28157])).
% 42.80/28.40 tff(28159,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 42.80/28.40 tff(28160,plain,
% 42.80/28.40 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28159, 28158])).
% 42.80/28.40 tff(28161,plain,
% 42.80/28.40 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28160, 28156])).
% 42.80/28.40 tff(28162,plain,(
% 42.80/28.40 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 42.80/28.40 inference(skolemize,[status(sab)],[28161])).
% 42.80/28.40 tff(28163,plain,
% 42.80/28.40 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28162, 28155])).
% 42.80/28.40 tff(28164,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28165,plain,
% 42.80/28.40 (((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25)) <=> ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28166,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25)))),
% 42.80/28.40 inference(monotonicity,[status(thm)],[28165])).
% 42.80/28.40 tff(28167,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 42.80/28.40 inference(transitivity,[status(thm)],[28166, 28164])).
% 42.80/28.40 tff(28168,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28169,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25)),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28168, 28167])).
% 42.80/28.40 tff(28170,plain,
% 42.80/28.40 (v144(constB25)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28169, 28163, 28153, 28149, 28138])).
% 42.80/28.40 tff(28171,plain,
% 42.80/28.40 (^[VarCurr: state_type] : refl(((~v144(VarCurr)) | v142(VarCurr)) <=> ((~v144(VarCurr)) | v142(VarCurr)))),
% 42.80/28.40 inference(bind,[status(th)],[])).
% 42.80/28.40 tff(28172,plain,
% 42.80/28.40 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 42.80/28.40 inference(quant_intro,[status(thm)],[28171])).
% 42.80/28.40 tff(28173,plain,
% 42.80/28.40 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28174,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 42.80/28.40 tff(28175,plain,
% 42.80/28.40 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28174, 28173])).
% 42.80/28.40 tff(28176,plain,(
% 42.80/28.40 ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 42.80/28.40 inference(skolemize,[status(sab)],[28175])).
% 42.80/28.40 tff(28177,plain,
% 42.80/28.40 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28176, 28172])).
% 42.80/28.40 tff(28178,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28179,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28180,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25)),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28179, 28178])).
% 42.80/28.40 tff(28181,plain,
% 42.80/28.40 (v142(constB25)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28180, 28177, 28170])).
% 42.80/28.40 tff(28182,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB25)) | v167(constB25))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB25)) | v167(constB25))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28183,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB25)) | v167(constB25))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28184,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB25)) | v167(constB25)),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28183, 28182])).
% 42.80/28.40 tff(28185,plain,
% 42.80/28.40 (v167(constB25)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28184, 14582, 28181])).
% 42.80/28.40 tff(28186,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB25)) | (~v170(constB25)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB25)) | (~v170(constB25)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28187,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB25)) | (~v170(constB25)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28188,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB25)) | (~v170(constB25))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28187, 28186])).
% 42.80/28.40 tff(28189,plain,
% 42.80/28.40 (~v170(constB25)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28188, 14593, 28185])).
% 42.80/28.40 tff(28190,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28191,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28192,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28191, 28190])).
% 42.80/28.40 tff(28193,plain,
% 42.80/28.40 (v166(constB25)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28192, 14607, 28185])).
% 42.80/28.40 tff(28194,plain,
% 42.80/28.40 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | (~v166(constB25)) | v170(constB25))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28195,plain,
% 42.80/28.40 (((~v166(constB25)) | v170(constB25) | (~v163(constB25))) <=> ((~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28196,plain,
% 42.80/28.40 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | (~v166(constB25)) | v170(constB25)))),
% 42.80/28.40 inference(monotonicity,[status(thm)],[28195])).
% 42.80/28.40 tff(28197,plain,
% 42.80/28.40 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 42.80/28.40 inference(transitivity,[status(thm)],[28196, 28194])).
% 42.80/28.40 tff(28198,plain,
% 42.80/28.40 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28199,plain,
% 42.80/28.40 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25)),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 42.80/28.40 tff(28200,plain,
% 42.80/28.40 (~v163(constB25)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28199, 14621, 28193, 28189])).
% 42.80/28.40 tff(28201,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28202,plain,
% 42.80/28.40 (((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26))) <=> (v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28203,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26))))),
% 42.80/28.40 inference(monotonicity,[status(thm)],[28202])).
% 42.80/28.40 tff(28204,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))),
% 42.80/28.40 inference(transitivity,[status(thm)],[28203, 28201])).
% 42.80/28.40 tff(28205,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28206,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28205, 28204])).
% 42.80/28.40 tff(28207,plain,
% 42.80/28.40 (v163(constB25) | (~v186(constB26))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28206, 14641, 3629])).
% 42.80/28.40 tff(28208,plain,
% 42.80/28.40 (~v186(constB26)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28207, 28200])).
% 42.80/28.40 tff(28209,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28210,plain,
% 42.80/28.40 (((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26)) <=> ((~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28211,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v181(constB26) | v104(constB26)))),
% 42.80/28.40 inference(monotonicity,[status(thm)],[28210])).
% 42.80/28.40 tff(28212,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))),
% 42.80/28.40 inference(transitivity,[status(thm)],[28211, 28209])).
% 42.80/28.40 tff(28213,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28214,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB25, constB26)) | v181(constB26) | v104(constB26)),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28213, 28212])).
% 42.80/28.40 tff(28215,plain,
% 42.80/28.40 (v181(constB26) | v104(constB26)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28214, 14663, 3629])).
% 42.80/28.40 tff(28216,plain,
% 42.80/28.40 (v181(constB26)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28215, 3641])).
% 42.80/28.40 tff(28217,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28218,plain,
% 42.80/28.40 (((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26))) <=> ((~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28219,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26))))),
% 42.80/28.40 inference(monotonicity,[status(thm)],[28218])).
% 42.80/28.40 tff(28220,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))),
% 42.80/28.40 inference(transitivity,[status(thm)],[28219, 28217])).
% 42.80/28.40 tff(28221,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28222,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28221, 28220])).
% 42.80/28.40 tff(28223,plain,
% 42.80/28.40 (v180(constB26) | (~v181(constB26))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28222, 14684, 3629, 3652])).
% 42.80/28.40 tff(28224,plain,
% 42.80/28.40 (v180(constB26)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28223, 28216])).
% 42.80/28.40 tff(28225,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28226,plain,
% 42.80/28.40 (((~nextState(constB25, constB26)) | (~v180(constB26)) | v179(constB26)) <=> ((~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28227,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | (~v180(constB26)) | v179(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26))))),
% 42.80/28.40 inference(monotonicity,[status(thm)],[28226])).
% 42.80/28.40 tff(28228,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | (~v180(constB26)) | v179(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))),
% 42.80/28.40 inference(transitivity,[status(thm)],[28227, 28225])).
% 42.80/28.40 tff(28229,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | (~v180(constB26)) | v179(constB26))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28230,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28229, 28228])).
% 42.80/28.40 tff(28231,plain,
% 42.80/28.40 (v179(constB26) | (~v180(constB26))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28230, 14702, 3629])).
% 42.80/28.40 tff(28232,plain,
% 42.80/28.40 (v179(constB26)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28231, 28224])).
% 42.80/28.40 tff(28233,plain,
% 42.80/28.40 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB26) | (~v159(constB26)) | (~v179(constB26)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB26) | (~v159(constB26)) | (~v179(constB26)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28234,plain,
% 42.80/28.40 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB26) | (~v159(constB26)) | (~v179(constB26)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28235,plain,
% 42.80/28.40 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB26) | (~v159(constB26)) | (~v179(constB26))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28234, 28233])).
% 42.80/28.40 tff(28236,plain,
% 42.80/28.40 (v186(constB26) | (~v159(constB26))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28235, 14720, 28232])).
% 42.80/28.40 tff(28237,plain,
% 42.80/28.40 (~v159(constB26)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28236, 28208])).
% 42.80/28.40 tff(28238,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28239,plain,
% 42.80/28.40 (((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27))) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28240,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27))))),
% 42.80/28.40 inference(monotonicity,[status(thm)],[28239])).
% 42.80/28.40 tff(28241,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))),
% 42.80/28.40 inference(transitivity,[status(thm)],[28240, 28238])).
% 42.80/28.40 tff(28242,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28243,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28242, 28241])).
% 42.80/28.40 tff(28244,plain,
% 42.80/28.40 (~v180(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28243, 14741, 3718, 3715])).
% 42.80/28.40 tff(28245,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28246,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28247,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28246, 28245])).
% 42.80/28.40 tff(28248,plain,
% 42.80/28.40 (v180(constB27) | (~v179(constB27))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28247, 14758, 3718])).
% 42.80/28.40 tff(28249,plain,
% 42.80/28.40 (~v179(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28248, 28244])).
% 42.80/28.40 tff(28250,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28251,plain,
% 42.80/28.40 (((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27))) <=> (v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28252,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27))))),
% 42.80/28.40 inference(monotonicity,[status(thm)],[28251])).
% 42.80/28.40 tff(28253,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))),
% 42.80/28.40 inference(transitivity,[status(thm)],[28252, 28250])).
% 42.80/28.40 tff(28254,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28255,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28254, 28253])).
% 42.80/28.40 tff(28256,plain,
% 42.80/28.40 (v159(constB26) | v179(constB27) | (~v159(constB27))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28255, 14773, 3718])).
% 42.80/28.40 tff(28257,plain,
% 42.80/28.40 (v159(constB26) | (~v159(constB27))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28256, 28249])).
% 42.80/28.40 tff(28258,plain,
% 42.80/28.40 (~v159(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28257, 28237])).
% 42.80/28.40 tff(28259,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB27) | (~v201(constB27)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB27) | (~v201(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28260,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB27) | (~v201(constB27)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28261,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB27) | (~v201(constB27))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28260, 28259])).
% 42.80/28.40 tff(28262,plain,
% 42.80/28.40 (~v201(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28261, 14792, 28258])).
% 42.80/28.40 tff(28263,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB27) | (~v200(constB27)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB27) | (~v200(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28264,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB27) | (~v200(constB27)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28265,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB27) | (~v200(constB27))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28264, 28263])).
% 42.80/28.40 tff(28266,plain,
% 42.80/28.40 (~v200(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28265, 14806, 28262])).
% 42.80/28.40 tff(28267,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB27) | (~v198(constB27)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB27) | (~v198(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28268,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB27) | (~v198(constB27)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28269,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB27) | (~v198(constB27))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28268, 28267])).
% 42.80/28.40 tff(28270,plain,
% 42.80/28.40 (~v198(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28269, 14820, 28266])).
% 42.80/28.40 tff(28271,assumption,(v18(constB28)), introduced(assumption)).
% 42.80/28.40 tff(28272,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB28))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28273,plain,
% 42.80/28.40 ($false),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28272, 138, 28271])).
% 42.80/28.40 tff(28274,plain,(~v18(constB28)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.40 tff(28275,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28276,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28277,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28276, 28275])).
% 42.80/28.40 tff(28278,plain,
% 42.80/28.40 (v22(constB28)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28277, 154, 3902])).
% 42.80/28.40 tff(28279,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB28) | (~v22(constB28)) | (~v19(constB28)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB28) | (~v22(constB28)) | (~v19(constB28)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28280,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB28) | (~v22(constB28)) | (~v19(constB28)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28281,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB28) | (~v22(constB28)) | (~v19(constB28))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28280, 28279])).
% 42.80/28.40 tff(28282,plain,
% 42.80/28.40 (v18(constB28) | (~v19(constB28))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28281, 168, 28278])).
% 42.80/28.40 tff(28283,plain,
% 42.80/28.40 (~v19(constB28)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28282, 28274])).
% 42.80/28.40 tff(28284,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28285,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28286,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28)),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28285, 28284])).
% 42.80/28.40 tff(28287,plain,
% 42.80/28.40 (v13(constB28)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28286, 180, 28283])).
% 42.80/28.40 tff(28288,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28289,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28290,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28289, 28288])).
% 42.80/28.40 tff(28291,plain,
% 42.80/28.40 (v9(constB27) | (~v13(constB28))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28290, 197, 3831])).
% 42.80/28.40 tff(28292,plain,
% 42.80/28.40 (v9(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28291, 28287])).
% 42.80/28.40 tff(28293,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v197(constB27))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB27) | (~v9(constB27)) | v197(constB27))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28294,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v197(constB27))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28295,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB27) | (~v9(constB27)) | v197(constB27)),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28294, 28293])).
% 42.80/28.40 tff(28296,plain,
% 42.80/28.40 ((~v9(constB27)) | v197(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28295, 15020, 3715])).
% 42.80/28.40 tff(28297,plain,
% 42.80/28.40 (v197(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28296, 28292])).
% 42.80/28.40 tff(28298,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB27)) | v196(constB27))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB27)) | v196(constB27))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28299,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB27)) | v196(constB27))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28300,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB27)) | v196(constB27)),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28299, 28298])).
% 42.80/28.40 tff(28301,plain,
% 42.80/28.40 (v196(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28300, 15032, 28297])).
% 42.80/28.40 tff(28302,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB27)) | (~v196(constB27)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB27)) | (~v196(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28303,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB27)) | (~v196(constB27)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28304,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB27)) | (~v196(constB27))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28303, 28302])).
% 42.80/28.40 tff(28305,plain,
% 42.80/28.40 (~v194(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28304, 15046, 28301])).
% 42.80/28.40 tff(28306,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB27) | v198(constB27) | (~v191(constB27)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB27) | v198(constB27) | (~v191(constB27)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28307,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB27) | v198(constB27) | (~v191(constB27)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28308,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB27) | v198(constB27) | (~v191(constB27))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28307, 28306])).
% 42.80/28.40 tff(28309,plain,
% 42.80/28.40 (v198(constB27) | (~v191(constB27))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28308, 15060, 28305])).
% 42.80/28.40 tff(28310,plain,
% 42.80/28.40 (~v191(constB27)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28309, 28270])).
% 42.80/28.40 tff(28311,plain,
% 42.80/28.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28312,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28313,plain,
% 42.80/28.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28312, 28311])).
% 42.80/28.40 tff(28314,plain,
% 42.80/28.40 (v191(constB27) | (~v193(constB28))),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28313, 15075, 3831])).
% 42.80/28.40 tff(28315,plain,
% 42.80/28.40 (~v193(constB28)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28314, 28310])).
% 42.80/28.40 tff(28316,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB28) | (~v194(constB28)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB28) | (~v194(constB28)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28317,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB28) | (~v194(constB28)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28318,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB28) | (~v194(constB28))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28317, 28316])).
% 42.80/28.40 tff(28319,plain,
% 42.80/28.40 (~v194(constB28)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28318, 15090, 28315])).
% 42.80/28.40 tff(28320,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB28)) | (~v197(constB28)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB28)) | (~v197(constB28)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28321,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB28)) | (~v197(constB28)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28322,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB28)) | (~v197(constB28))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28321, 28320])).
% 42.80/28.40 tff(28323,plain,
% 42.80/28.40 (~v197(constB28)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28322, 59, 3902])).
% 42.80/28.40 tff(28324,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB28) | (~v200(constB28)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB28) | (~v200(constB28)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28325,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB28) | (~v200(constB28)))),
% 42.80/28.40 inference(quant_inst,[status(thm)],[])).
% 42.80/28.40 tff(28326,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB28) | (~v200(constB28))),
% 42.80/28.40 inference(modus_ponens,[status(thm)],[28325, 28324])).
% 42.80/28.40 tff(28327,plain,
% 42.80/28.40 (~v200(constB28)),
% 42.80/28.40 inference(unit_resolution,[status(thm)],[28326, 15108, 28323])).
% 42.80/28.40 tff(28328,plain,
% 42.80/28.40 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB28) | (~v198(constB28)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB28) | (~v198(constB28)))),
% 42.80/28.40 inference(rewrite,[status(thm)],[])).
% 42.80/28.40 tff(28329,plain,
% 42.80/28.40 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB28) | (~v198(constB28)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28330,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB28) | (~v198(constB28))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28329, 28328])).
% 42.80/28.41 tff(28331,plain,
% 42.80/28.41 (~v198(constB28)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28330, 14820, 28327])).
% 42.80/28.41 tff(28332,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB28) | v198(constB28) | (~v191(constB28)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB28) | v198(constB28) | (~v191(constB28)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28333,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB28) | v198(constB28) | (~v191(constB28)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28334,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB28) | v198(constB28) | (~v191(constB28))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28333, 28332])).
% 42.80/28.41 tff(28335,plain,
% 42.80/28.41 (v194(constB28) | (~v191(constB28))),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28334, 15060, 28331])).
% 42.80/28.41 tff(28336,plain,
% 42.80/28.41 (~v191(constB28)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28335, 28319])).
% 42.80/28.41 tff(28337,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28338,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28339,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28338, 28337])).
% 42.80/28.41 tff(28340,plain,
% 42.80/28.41 (v191(constB28) | (~v193(constB29))),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28339, 15075, 4276])).
% 42.80/28.41 tff(28341,plain,
% 42.80/28.41 (~v193(constB29)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28340, 28336])).
% 42.80/28.41 tff(28342,plain,
% 42.80/28.41 ($false),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28341, 28134])).
% 42.80/28.41 tff(28343,plain,(~(constB29 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.41 tff(28344,assumption,(constB180 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.41 tff(28345,plain,
% 42.80/28.41 (v1(constB180) <=> v1(sK0_VarCurr)),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28344])).
% 42.80/28.41 tff(28346,plain,
% 42.80/28.41 (v1(sK0_VarCurr) <=> v1(constB180)),
% 42.80/28.41 inference(symmetry,[status(thm)],[28345])).
% 42.80/28.41 tff(28347,plain,
% 42.80/28.41 ((~v1(sK0_VarCurr)) <=> (~v1(constB180))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28346])).
% 42.80/28.41 tff(28348,plain,
% 42.80/28.41 (~v1(constB180)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[63, 28347])).
% 42.80/28.41 tff(28349,plain,
% 42.80/28.41 (v1(constB180) <=> v1(constB180)),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28350,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 42.80/28.41 tff(28351,plain,
% 42.80/28.41 (v1(constB180)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28350, 28349])).
% 42.80/28.41 tff(28352,plain,
% 42.80/28.41 ($false),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28351, 28348])).
% 42.80/28.41 tff(28353,plain,(~(constB180 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.41 tff(28354,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.41 tff(28355,plain,
% 42.80/28.41 (v1(constB42) <=> v1(sK0_VarCurr)),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28354])).
% 42.80/28.41 tff(28356,plain,
% 42.80/28.41 (v1(sK0_VarCurr) <=> v1(constB42)),
% 42.80/28.41 inference(symmetry,[status(thm)],[28355])).
% 42.80/28.41 tff(28357,plain,
% 42.80/28.41 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28356])).
% 42.80/28.41 tff(28358,plain,
% 42.80/28.41 (~v1(constB42)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[63, 28357])).
% 42.80/28.41 tff(28359,plain,
% 42.80/28.41 ($false),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[5727, 28358])).
% 42.80/28.41 tff(28360,plain,(~(constB42 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.41 tff(28361,assumption,(constB74 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.41 tff(28362,plain,
% 42.80/28.41 (v1(constB74) <=> v1(sK0_VarCurr)),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28361])).
% 42.80/28.41 tff(28363,plain,
% 42.80/28.41 (v1(sK0_VarCurr) <=> v1(constB74)),
% 42.80/28.41 inference(symmetry,[status(thm)],[28362])).
% 42.80/28.41 tff(28364,plain,
% 42.80/28.41 ((~v1(sK0_VarCurr)) <=> (~v1(constB74))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28363])).
% 42.80/28.41 tff(28365,plain,
% 42.80/28.41 (~v1(constB74)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[63, 28364])).
% 42.80/28.41 tff(28366,plain,
% 42.80/28.41 ($false),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[9511, 28365])).
% 42.80/28.41 tff(28367,plain,(~(constB74 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.41 tff(28368,assumption,(constB5 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.41 tff(28369,plain,
% 42.80/28.41 (v193(constB5) <=> v193(sK0_VarCurr)),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28368])).
% 42.80/28.41 tff(28370,plain,
% 42.80/28.41 (v193(sK0_VarCurr) <=> v193(constB5)),
% 42.80/28.41 inference(symmetry,[status(thm)],[28369])).
% 42.80/28.41 tff(28371,plain,
% 42.80/28.41 (v193(constB5)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[86, 28370])).
% 42.80/28.41 tff(28372,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28373,plain,
% 42.80/28.41 (((~nextState(constB2, constB3)) | v1(constB3) | (~v180(constB3))) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28374,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v1(constB3) | (~v180(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3))))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28373])).
% 42.80/28.41 tff(28375,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v1(constB3) | (~v180(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3)))),
% 42.80/28.41 inference(transitivity,[status(thm)],[28374, 28372])).
% 42.80/28.41 tff(28376,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v1(constB3) | (~v180(constB3)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28377,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28376, 28375])).
% 42.80/28.41 tff(28378,plain,
% 42.80/28.41 (~v180(constB3)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28377, 14741, 761, 758])).
% 42.80/28.41 tff(28379,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB2, constB3)) | v180(constB3) | (~v179(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB2, constB3)) | v180(constB3) | (~v179(constB3)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28380,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB2, constB3)) | v180(constB3) | (~v179(constB3)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28381,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB2, constB3)) | v180(constB3) | (~v179(constB3))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28380, 28379])).
% 42.80/28.41 tff(28382,plain,
% 42.80/28.41 (v180(constB3) | (~v179(constB3))),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28381, 14758, 761])).
% 42.80/28.41 tff(28383,plain,
% 42.80/28.41 (~v179(constB3)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28382, 28378])).
% 42.80/28.41 tff(28384,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28385,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28386,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28385, 28384])).
% 42.80/28.41 tff(28387,plain,
% 42.80/28.41 (~v88(constB1, bitIndex2)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28386, 14456, 434])).
% 42.80/28.41 tff(28388,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28389,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28390,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28389, 28388])).
% 42.80/28.41 tff(28391,plain,
% 42.80/28.41 (~v88(constB1, bitIndex1)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28390, 14835, 455])).
% 42.80/28.41 tff(28392,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28393,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28394,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28393, 28392])).
% 42.80/28.41 tff(28395,plain,
% 42.80/28.41 (~v88(constB1, bitIndex0)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28394, 14501, 476])).
% 42.80/28.41 tff(28396,plain,
% 42.80/28.41 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)))),
% 42.80/28.41 inference(bind,[status(th)],[])).
% 42.80/28.41 tff(28397,plain,
% 42.80/28.41 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 42.80/28.41 inference(quant_intro,[status(thm)],[28396])).
% 42.80/28.41 tff(28398,plain,
% 42.80/28.41 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28399,plain,
% 42.80/28.41 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v139(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))))),
% 42.80/28.41 inference(bind,[status(th)],[])).
% 42.80/28.41 tff(28400,plain,
% 42.80/28.41 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 42.80/28.41 inference(quant_intro,[status(thm)],[28399])).
% 42.80/28.41 tff(28401,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 42.80/28.41 tff(28402,plain,
% 42.80/28.41 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28401, 28400])).
% 42.80/28.41 tff(28403,plain,
% 42.80/28.41 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28402, 28398])).
% 42.80/28.41 tff(28404,plain,(
% 42.80/28.41 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 42.80/28.41 inference(skolemize,[status(sab)],[28403])).
% 42.80/28.41 tff(28405,plain,
% 42.80/28.41 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28404, 28397])).
% 42.80/28.41 tff(28406,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28407,plain,
% 42.80/28.41 ((v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1)) <=> (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28408,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1)))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28407])).
% 42.80/28.41 tff(28409,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 42.80/28.41 inference(transitivity,[status(thm)],[28408, 28406])).
% 42.80/28.41 tff(28410,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28411,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28410, 28409])).
% 42.80/28.41 tff(28412,plain,
% 42.80/28.41 (v139(constB1)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28411, 28405, 28395, 28391, 28387])).
% 42.80/28.41 tff(28413,plain,
% 42.80/28.41 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | v169(VarCurr)) <=> ((~v139(VarCurr)) | v169(VarCurr)))),
% 42.80/28.41 inference(bind,[status(th)],[])).
% 42.80/28.41 tff(28414,plain,
% 42.80/28.41 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 42.80/28.41 inference(quant_intro,[status(thm)],[28413])).
% 42.80/28.41 tff(28415,plain,
% 42.80/28.41 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28416,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_2')).
% 42.80/28.41 tff(28417,plain,
% 42.80/28.41 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28416, 28415])).
% 42.80/28.41 tff(28418,plain,(
% 42.80/28.41 ![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 42.80/28.41 inference(skolemize,[status(sab)],[28417])).
% 42.80/28.41 tff(28419,plain,
% 42.80/28.41 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28418, 28414])).
% 42.80/28.41 tff(28420,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | (v169(constB1) | (~v139(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB1) | (~v139(constB1)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28421,plain,
% 42.80/28.41 (((~v139(constB1)) | v169(constB1)) <=> (v169(constB1) | (~v139(constB1)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28422,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB1)) | v169(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | (v169(constB1) | (~v139(constB1))))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28421])).
% 42.80/28.41 tff(28423,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB1)) | v169(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB1) | (~v139(constB1)))),
% 42.80/28.41 inference(transitivity,[status(thm)],[28422, 28420])).
% 42.80/28.41 tff(28424,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB1)) | v169(constB1))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28425,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB1) | (~v139(constB1))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 42.80/28.41 tff(28426,plain,
% 42.80/28.41 (v169(constB1)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28425, 28419, 28412])).
% 42.80/28.41 tff(28427,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB1) | (~v169(constB1)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB1) | (~v169(constB1)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28428,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB1) | (~v169(constB1)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28429,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB1) | (~v169(constB1))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28428, 28427])).
% 42.80/28.41 tff(28430,plain,
% 42.80/28.41 (v168(constB1)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28429, 14888, 28426])).
% 42.80/28.41 tff(28431,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB1)) | v167(constB1))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB1)) | v167(constB1))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28432,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB1)) | v167(constB1))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28433,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB1)) | v167(constB1)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28432, 28431])).
% 42.80/28.41 tff(28434,plain,
% 42.80/28.41 (v167(constB1)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28433, 14899, 28430])).
% 42.80/28.41 tff(28435,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB1)) | (~v170(constB1)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB1)) | (~v170(constB1)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28436,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB1)) | (~v170(constB1)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28437,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB1)) | (~v170(constB1))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28436, 28435])).
% 42.80/28.41 tff(28438,plain,
% 42.80/28.41 (~v170(constB1)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28437, 14593, 28434])).
% 42.80/28.41 tff(28439,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28440,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28441,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28440, 28439])).
% 42.80/28.41 tff(28442,plain,
% 42.80/28.41 (v166(constB1)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28441, 14607, 28434])).
% 42.80/28.41 tff(28443,plain,
% 42.80/28.41 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB1)) | (~v166(constB1)) | v170(constB1))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB1)) | (~v166(constB1)) | v170(constB1))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28444,plain,
% 42.80/28.41 (((~v166(constB1)) | v170(constB1) | (~v163(constB1))) <=> ((~v163(constB1)) | (~v166(constB1)) | v170(constB1))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28445,plain,
% 42.80/28.41 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB1)) | v170(constB1) | (~v163(constB1)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB1)) | (~v166(constB1)) | v170(constB1)))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28444])).
% 42.80/28.41 tff(28446,plain,
% 42.80/28.41 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB1)) | v170(constB1) | (~v163(constB1)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB1)) | (~v166(constB1)) | v170(constB1))),
% 42.80/28.41 inference(transitivity,[status(thm)],[28445, 28443])).
% 42.80/28.41 tff(28447,plain,
% 42.80/28.41 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB1)) | v170(constB1) | (~v163(constB1)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28448,plain,
% 42.80/28.41 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB1)) | (~v166(constB1)) | v170(constB1)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28447, 28446])).
% 42.80/28.41 tff(28449,plain,
% 42.80/28.41 (~v163(constB1)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28448, 14621, 28442, 28438])).
% 42.80/28.41 tff(28450,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28451,plain,
% 42.80/28.41 (((~nextState(constB1, constB2)) | v163(constB1) | (~v186(constB2))) <=> (v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28452,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB1, constB2)) | v163(constB1) | (~v186(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2))))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28451])).
% 42.80/28.41 tff(28453,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB1, constB2)) | v163(constB1) | (~v186(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2)))),
% 42.80/28.41 inference(transitivity,[status(thm)],[28452, 28450])).
% 42.80/28.41 tff(28454,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB1, constB2)) | v163(constB1) | (~v186(constB2)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28455,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28454, 28453])).
% 42.80/28.41 tff(28456,plain,
% 42.80/28.41 (v163(constB1) | (~v186(constB2))),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28455, 14641, 615])).
% 42.80/28.41 tff(28457,plain,
% 42.80/28.41 (~v186(constB2)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28456, 28449])).
% 42.80/28.41 tff(28458,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v181(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB1, constB2)) | v181(constB2) | v104(constB2))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28459,plain,
% 42.80/28.41 (((~nextState(constB1, constB2)) | v104(constB2) | v181(constB2)) <=> ((~nextState(constB1, constB2)) | v181(constB2) | v104(constB2))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28460,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v181(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v181(constB2) | v104(constB2)))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28459])).
% 42.80/28.41 tff(28461,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v181(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB1, constB2)) | v181(constB2) | v104(constB2))),
% 42.80/28.41 inference(transitivity,[status(thm)],[28460, 28458])).
% 42.80/28.41 tff(28462,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v181(constB2))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28463,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB1, constB2)) | v181(constB2) | v104(constB2)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28462, 28461])).
% 42.80/28.41 tff(28464,plain,
% 42.80/28.41 (v181(constB2) | v104(constB2)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28463, 14663, 615])).
% 42.80/28.41 tff(28465,plain,
% 42.80/28.41 (v181(constB2)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28464, 663])).
% 42.80/28.41 tff(28466,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28467,plain,
% 42.80/28.41 (((~nextState(constB1, constB2)) | (~v1(constB2)) | v180(constB2) | (~v181(constB2))) <=> ((~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28468,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v180(constB2) | (~v181(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2))))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28467])).
% 42.80/28.41 tff(28469,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v180(constB2) | (~v181(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2)))),
% 42.80/28.41 inference(transitivity,[status(thm)],[28468, 28466])).
% 42.80/28.41 tff(28470,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v180(constB2) | (~v181(constB2)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28471,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28470, 28469])).
% 42.80/28.41 tff(28472,plain,
% 42.80/28.41 (v180(constB2) | (~v181(constB2))),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28471, 14684, 615, 684])).
% 42.80/28.41 tff(28473,plain,
% 42.80/28.41 (v180(constB2)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28472, 28465])).
% 42.80/28.41 tff(28474,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28475,plain,
% 42.80/28.41 (((~nextState(constB1, constB2)) | (~v180(constB2)) | v179(constB2)) <=> ((~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28476,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | (~v180(constB2)) | v179(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2))))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28475])).
% 42.80/28.41 tff(28477,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | (~v180(constB2)) | v179(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2)))),
% 42.80/28.41 inference(transitivity,[status(thm)],[28476, 28474])).
% 42.80/28.41 tff(28478,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | (~v180(constB2)) | v179(constB2))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28479,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28478, 28477])).
% 42.80/28.41 tff(28480,plain,
% 42.80/28.41 (v179(constB2) | (~v180(constB2))),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28479, 14702, 615])).
% 42.80/28.41 tff(28481,plain,
% 42.80/28.41 (v179(constB2)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28480, 28473])).
% 42.80/28.41 tff(28482,plain,
% 42.80/28.41 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB2) | (~v159(constB2)) | (~v179(constB2)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB2) | (~v159(constB2)) | (~v179(constB2)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28483,plain,
% 42.80/28.41 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB2) | (~v159(constB2)) | (~v179(constB2)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28484,plain,
% 42.80/28.41 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB2) | (~v159(constB2)) | (~v179(constB2))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28483, 28482])).
% 42.80/28.41 tff(28485,plain,
% 42.80/28.41 (v186(constB2) | (~v159(constB2))),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28484, 14720, 28481])).
% 42.80/28.41 tff(28486,plain,
% 42.80/28.41 (~v159(constB2)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28485, 28457])).
% 42.80/28.41 tff(28487,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28488,plain,
% 42.80/28.41 (((~nextState(constB2, constB3)) | v179(constB3) | v159(constB2) | (~v159(constB3))) <=> (v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28489,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB2, constB3)) | v179(constB3) | v159(constB2) | (~v159(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3))))),
% 42.80/28.41 inference(monotonicity,[status(thm)],[28488])).
% 42.80/28.41 tff(28490,plain,
% 42.80/28.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB2, constB3)) | v179(constB3) | v159(constB2) | (~v159(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3)))),
% 42.80/28.41 inference(transitivity,[status(thm)],[28489, 28487])).
% 42.80/28.41 tff(28491,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB2, constB3)) | v179(constB3) | v159(constB2) | (~v159(constB3)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28492,plain,
% 42.80/28.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28491, 28490])).
% 42.80/28.41 tff(28493,plain,
% 42.80/28.41 (v159(constB2) | v179(constB3) | (~v159(constB3))),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28492, 14773, 761])).
% 42.80/28.41 tff(28494,plain,
% 42.80/28.41 (~v159(constB3)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28493, 28486, 28383])).
% 42.80/28.41 tff(28495,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB3) | (~v201(constB3)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB3) | (~v201(constB3)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28496,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB3) | (~v201(constB3)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28497,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB3) | (~v201(constB3))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28496, 28495])).
% 42.80/28.41 tff(28498,plain,
% 42.80/28.41 (~v201(constB3)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28497, 14792, 28494])).
% 42.80/28.41 tff(28499,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB3) | (~v200(constB3)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB3) | (~v200(constB3)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28500,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB3) | (~v200(constB3)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28501,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB3) | (~v200(constB3))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28500, 28499])).
% 42.80/28.41 tff(28502,plain,
% 42.80/28.41 (~v200(constB3)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28501, 14806, 28498])).
% 42.80/28.41 tff(28503,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB3) | (~v198(constB3)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB3) | (~v198(constB3)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28504,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB3) | (~v198(constB3)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28505,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB3) | (~v198(constB3))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28504, 28503])).
% 42.80/28.41 tff(28506,plain,
% 42.80/28.41 (~v198(constB3)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28505, 14820, 28502])).
% 42.80/28.41 tff(28507,plain,
% 42.80/28.41 (v1(constB0) <=> v1(constB0)),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28508,axiom,(v1(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_201')).
% 42.80/28.41 tff(28509,plain,
% 42.80/28.41 (v1(constB0)),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28508, 28507])).
% 42.80/28.41 tff(28510,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB0)) | (~v197(constB0)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB0)) | (~v197(constB0)))),
% 42.80/28.41 inference(rewrite,[status(thm)],[])).
% 42.80/28.41 tff(28511,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB0)) | (~v197(constB0)))),
% 42.80/28.41 inference(quant_inst,[status(thm)],[])).
% 42.80/28.41 tff(28512,plain,
% 42.80/28.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB0)) | (~v197(constB0))),
% 42.80/28.41 inference(modus_ponens,[status(thm)],[28511, 28510])).
% 42.80/28.41 tff(28513,plain,
% 42.80/28.41 (~v197(constB0)),
% 42.80/28.41 inference(unit_resolution,[status(thm)],[28512, 59, 28509])).
% 42.80/28.41 tff(28514,plain,
% 42.80/28.41 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB0) | (~v200(constB0)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB0) | (~v200(constB0)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28515,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB0) | (~v200(constB0)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28516,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB0) | (~v200(constB0))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28515, 28514])).
% 42.80/28.42 tff(28517,plain,
% 42.80/28.42 (~v200(constB0)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28516, 15108, 28513])).
% 42.80/28.42 tff(28518,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB0) | (~v198(constB0)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB0) | (~v198(constB0)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28519,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB0) | (~v198(constB0)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28520,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB0) | (~v198(constB0))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28519, 28518])).
% 42.80/28.42 tff(28521,plain,
% 42.80/28.42 (~v198(constB0)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28520, 14820, 28517])).
% 42.80/28.42 tff(28522,plain,
% 42.80/28.42 ((~v193(constB0)) <=> (~v193(constB0))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28523,axiom,(~v193(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_8_1_1_1')).
% 42.80/28.42 tff(28524,plain,
% 42.80/28.42 (~v193(constB0)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28523, 28522])).
% 42.80/28.42 tff(28525,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB0) | (~v194(constB0)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB0) | (~v194(constB0)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28526,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB0) | (~v194(constB0)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28527,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB0) | (~v194(constB0))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28526, 28525])).
% 42.80/28.42 tff(28528,plain,
% 42.80/28.42 (~v194(constB0)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28527, 28524, 15090])).
% 42.80/28.42 tff(28529,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB0) | v198(constB0) | (~v191(constB0)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB0) | v198(constB0) | (~v191(constB0)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28530,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB0) | v198(constB0) | (~v191(constB0)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28531,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB0) | v198(constB0) | (~v191(constB0))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28530, 28529])).
% 42.80/28.42 tff(28532,plain,
% 42.80/28.42 (v198(constB0) | (~v191(constB0))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28531, 15060, 28528])).
% 42.80/28.42 tff(28533,plain,
% 42.80/28.42 (~v191(constB0)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28532, 28521])).
% 42.80/28.42 tff(28534,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB0, constB1)) | v191(constB0) | (~v193(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB0, constB1)) | v191(constB0) | (~v193(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28535,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB0, constB1)) | v191(constB0) | (~v193(constB1)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28536,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB0, constB1)) | v191(constB0) | (~v193(constB1))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28535, 28534])).
% 42.80/28.42 tff(28537,plain,
% 42.80/28.42 (v191(constB0) | (~v193(constB1))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28536, 15075, 381])).
% 42.80/28.42 tff(28538,plain,
% 42.80/28.42 (~v193(constB1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28537, 28533])).
% 42.80/28.42 tff(28539,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB1) | (~v194(constB1)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB1) | (~v194(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28540,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB1) | (~v194(constB1)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28541,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB1) | (~v194(constB1))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28540, 28539])).
% 42.80/28.42 tff(28542,plain,
% 42.80/28.42 (~v194(constB1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28541, 15090, 28538])).
% 42.80/28.42 tff(28543,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28544,plain,
% 42.80/28.42 (((~nextState(constB0, constB1)) | v1(constB1) | (~v180(constB1))) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28545,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v1(constB1) | (~v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1))))),
% 42.80/28.42 inference(monotonicity,[status(thm)],[28544])).
% 42.80/28.42 tff(28546,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v1(constB1) | (~v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1)))),
% 42.80/28.42 inference(transitivity,[status(thm)],[28545, 28543])).
% 42.80/28.42 tff(28547,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v1(constB1) | (~v180(constB1)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28548,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28547, 28546])).
% 42.80/28.42 tff(28549,plain,
% 42.80/28.42 (~v180(constB1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28548, 14741, 381, 378])).
% 42.80/28.42 tff(28550,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB0, constB1)) | v180(constB1) | (~v179(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB0, constB1)) | v180(constB1) | (~v179(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28551,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB0, constB1)) | v180(constB1) | (~v179(constB1)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28552,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB0, constB1)) | v180(constB1) | (~v179(constB1))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28551, 28550])).
% 42.80/28.42 tff(28553,plain,
% 42.80/28.42 (v180(constB1) | (~v179(constB1))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28552, 14758, 381])).
% 42.80/28.42 tff(28554,plain,
% 42.80/28.42 (~v179(constB1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28553, 28549])).
% 42.80/28.42 tff(28555,plain,
% 42.80/28.42 ((~v159(constB0)) <=> (~v159(constB0))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28556,axiom,(~v159(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1')).
% 42.80/28.42 tff(28557,plain,
% 42.80/28.42 (~v159(constB0)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28556, 28555])).
% 42.80/28.42 tff(28558,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28559,plain,
% 42.80/28.42 (((~nextState(constB0, constB1)) | v179(constB1) | v159(constB0) | (~v159(constB1))) <=> (v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28560,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | v159(constB0) | (~v159(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1))))),
% 42.80/28.42 inference(monotonicity,[status(thm)],[28559])).
% 42.80/28.42 tff(28561,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | v159(constB0) | (~v159(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1)))),
% 42.80/28.42 inference(transitivity,[status(thm)],[28560, 28558])).
% 42.80/28.42 tff(28562,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | v159(constB0) | (~v159(constB1)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28563,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28562, 28561])).
% 42.80/28.42 tff(28564,plain,
% 42.80/28.42 (v179(constB1) | (~v159(constB1))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28563, 28557, 14773, 381])).
% 42.80/28.42 tff(28565,plain,
% 42.80/28.42 (~v159(constB1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28564, 28554])).
% 42.80/28.42 tff(28566,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB1) | (~v201(constB1)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB1) | (~v201(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28567,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB1) | (~v201(constB1)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28568,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB1) | (~v201(constB1))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28567, 28566])).
% 42.80/28.42 tff(28569,plain,
% 42.80/28.42 (~v201(constB1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28568, 14792, 28565])).
% 42.80/28.42 tff(28570,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB1) | (~v200(constB1)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB1) | (~v200(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28571,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB1) | (~v200(constB1)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28572,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB1) | (~v200(constB1))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28571, 28570])).
% 42.80/28.42 tff(28573,plain,
% 42.80/28.42 (~v200(constB1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28572, 14806, 28569])).
% 42.80/28.42 tff(28574,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB1) | (~v198(constB1)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB1) | (~v198(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28575,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB1) | (~v198(constB1)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28576,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB1) | (~v198(constB1))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28575, 28574])).
% 42.80/28.42 tff(28577,plain,
% 42.80/28.42 (~v198(constB1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28576, 14820, 28573])).
% 42.80/28.42 tff(28578,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB1) | v198(constB1) | (~v191(constB1)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB1) | v198(constB1) | (~v191(constB1)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28579,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB1) | v198(constB1) | (~v191(constB1)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28580,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB1) | v198(constB1) | (~v191(constB1))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28579, 28578])).
% 42.80/28.42 tff(28581,plain,
% 42.80/28.42 (~v191(constB1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28580, 15060, 28577, 28542])).
% 42.80/28.42 tff(28582,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB1, constB2)) | v191(constB1) | (~v193(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB1, constB2)) | v191(constB1) | (~v193(constB2)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28583,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB1, constB2)) | v191(constB1) | (~v193(constB2)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28584,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB1, constB2)) | v191(constB1) | (~v193(constB2))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28583, 28582])).
% 42.80/28.42 tff(28585,plain,
% 42.80/28.42 (v191(constB1) | (~v193(constB2))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28584, 15075, 615])).
% 42.80/28.42 tff(28586,plain,
% 42.80/28.42 (~v193(constB2)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28585, 28581])).
% 42.80/28.42 tff(28587,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB2) | (~v194(constB2)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB2) | (~v194(constB2)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28588,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB2) | (~v194(constB2)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28589,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB2) | (~v194(constB2))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28588, 28587])).
% 42.80/28.42 tff(28590,plain,
% 42.80/28.42 (~v194(constB2)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28589, 15090, 28586])).
% 42.80/28.42 tff(28591,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB2)) | (~v197(constB2)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB2)) | (~v197(constB2)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28592,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB2)) | (~v197(constB2)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28593,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB2)) | (~v197(constB2))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28592, 28591])).
% 42.80/28.42 tff(28594,plain,
% 42.80/28.42 (~v197(constB2)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28593, 59, 684])).
% 42.80/28.42 tff(28595,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB2) | (~v200(constB2)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB2) | (~v200(constB2)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28596,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB2) | (~v200(constB2)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28597,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB2) | (~v200(constB2))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28596, 28595])).
% 42.80/28.42 tff(28598,plain,
% 42.80/28.42 (~v200(constB2)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28597, 15108, 28594])).
% 42.80/28.42 tff(28599,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB2) | (~v198(constB2)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB2) | (~v198(constB2)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28600,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB2) | (~v198(constB2)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28601,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB2) | (~v198(constB2))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 42.80/28.42 tff(28602,plain,
% 42.80/28.42 (~v198(constB2)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28601, 14820, 28598])).
% 42.80/28.42 tff(28603,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB2) | v198(constB2) | (~v191(constB2)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB2) | v198(constB2) | (~v191(constB2)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28604,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB2) | v198(constB2) | (~v191(constB2)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28605,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB2) | v198(constB2) | (~v191(constB2))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28604, 28603])).
% 42.80/28.42 tff(28606,plain,
% 42.80/28.42 (v194(constB2) | (~v191(constB2))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28605, 15060, 28602])).
% 42.80/28.42 tff(28607,plain,
% 42.80/28.42 (~v191(constB2)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28606, 28590])).
% 42.80/28.42 tff(28608,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB2, constB3)) | v191(constB2) | (~v193(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB2, constB3)) | v191(constB2) | (~v193(constB3)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28609,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB2, constB3)) | v191(constB2) | (~v193(constB3)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28610,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB2, constB3)) | v191(constB2) | (~v193(constB3))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28609, 28608])).
% 42.80/28.42 tff(28611,plain,
% 42.80/28.42 (v191(constB2) | (~v193(constB3))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28610, 15075, 761])).
% 42.80/28.42 tff(28612,plain,
% 42.80/28.42 (~v193(constB3)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28611, 28607])).
% 42.80/28.42 tff(28613,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB3) | (~v194(constB3)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB3) | (~v194(constB3)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28614,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB3) | (~v194(constB3)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28615,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB3) | (~v194(constB3))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28614, 28613])).
% 42.80/28.42 tff(28616,plain,
% 42.80/28.42 (~v194(constB3)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28615, 15090, 28612])).
% 42.80/28.42 tff(28617,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB3) | v198(constB3) | (~v191(constB3)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB3) | v198(constB3) | (~v191(constB3)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28618,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB3) | v198(constB3) | (~v191(constB3)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28619,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB3) | v198(constB3) | (~v191(constB3))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28618, 28617])).
% 42.80/28.42 tff(28620,plain,
% 42.80/28.42 (v198(constB3) | (~v191(constB3))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28619, 15060, 28616])).
% 42.80/28.42 tff(28621,plain,
% 42.80/28.42 (~v191(constB3)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28620, 28506])).
% 42.80/28.42 tff(28622,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB3, constB4)) | v191(constB3) | (~v193(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB3, constB4)) | v191(constB3) | (~v193(constB4)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28623,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB3, constB4)) | v191(constB3) | (~v193(constB4)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28624,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB3, constB4)) | v191(constB3) | (~v193(constB4))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28623, 28622])).
% 42.80/28.42 tff(28625,plain,
% 42.80/28.42 (v191(constB3) | (~v193(constB4))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28624, 15075, 1027])).
% 42.80/28.42 tff(28626,plain,
% 42.80/28.42 (~v193(constB4)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28625, 28621])).
% 42.80/28.42 tff(28627,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB4) | (~v194(constB4)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB4) | (~v194(constB4)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28628,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB4) | (~v194(constB4)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28629,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB4) | (~v194(constB4))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28628, 28627])).
% 42.80/28.42 tff(28630,plain,
% 42.80/28.42 (~v194(constB4)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28629, 15090, 28626])).
% 42.80/28.42 tff(28631,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB4)) | (~v197(constB4)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB4)) | (~v197(constB4)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28632,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB4)) | (~v197(constB4)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28633,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB4)) | (~v197(constB4))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28632, 28631])).
% 42.80/28.42 tff(28634,plain,
% 42.80/28.42 (~v197(constB4)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28633, 59, 1050])).
% 42.80/28.42 tff(28635,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB4) | (~v200(constB4)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB4) | (~v200(constB4)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28636,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB4) | (~v200(constB4)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28637,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB4) | (~v200(constB4))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28636, 28635])).
% 42.80/28.42 tff(28638,plain,
% 42.80/28.42 (~v200(constB4)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28637, 15108, 28634])).
% 42.80/28.42 tff(28639,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB4) | (~v198(constB4)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB4) | (~v198(constB4)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28640,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB4) | (~v198(constB4)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28641,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB4) | (~v198(constB4))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28640, 28639])).
% 42.80/28.42 tff(28642,plain,
% 42.80/28.42 (~v198(constB4)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28641, 14820, 28638])).
% 42.80/28.42 tff(28643,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB4) | v198(constB4) | (~v191(constB4)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB4) | v198(constB4) | (~v191(constB4)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28644,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB4) | v198(constB4) | (~v191(constB4)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28645,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB4) | v198(constB4) | (~v191(constB4))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28644, 28643])).
% 42.80/28.42 tff(28646,plain,
% 42.80/28.42 (v194(constB4) | (~v191(constB4))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28645, 15060, 28642])).
% 42.80/28.42 tff(28647,plain,
% 42.80/28.42 (~v191(constB4)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28646, 28630])).
% 42.80/28.42 tff(28648,plain,
% 42.80/28.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB4, constB5)) | v191(constB4) | (~v193(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB4, constB5)) | v191(constB4) | (~v193(constB5)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28649,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB4, constB5)) | v191(constB4) | (~v193(constB5)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28650,plain,
% 42.80/28.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB4, constB5)) | v191(constB4) | (~v193(constB5))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28649, 28648])).
% 42.80/28.42 tff(28651,plain,
% 42.80/28.42 (v191(constB4) | (~v193(constB5))),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28650, 15075, 1102])).
% 42.80/28.42 tff(28652,plain,
% 42.80/28.42 (~v193(constB5)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28651, 28647])).
% 42.80/28.42 tff(28653,plain,
% 42.80/28.42 ($false),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28652, 28371])).
% 42.80/28.42 tff(28654,plain,(~(constB5 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.42 tff(28655,assumption,(constB68 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.42 tff(28656,plain,
% 42.80/28.42 (v1(constB68) <=> v1(sK0_VarCurr)),
% 42.80/28.42 inference(monotonicity,[status(thm)],[28655])).
% 42.80/28.42 tff(28657,plain,
% 42.80/28.42 (v1(sK0_VarCurr) <=> v1(constB68)),
% 42.80/28.42 inference(symmetry,[status(thm)],[28656])).
% 42.80/28.42 tff(28658,plain,
% 42.80/28.42 ((~v1(sK0_VarCurr)) <=> (~v1(constB68))),
% 42.80/28.42 inference(monotonicity,[status(thm)],[28657])).
% 42.80/28.42 tff(28659,plain,
% 42.80/28.42 (~v1(constB68)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[63, 28658])).
% 42.80/28.42 tff(28660,plain,
% 42.80/28.42 ($false),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[8869, 28659])).
% 42.80/28.42 tff(28661,plain,(~(constB68 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.42 tff(28662,assumption,(constB57 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.42 tff(28663,plain,
% 42.80/28.42 (v193(constB57) <=> v193(sK0_VarCurr)),
% 42.80/28.42 inference(monotonicity,[status(thm)],[28662])).
% 42.80/28.42 tff(28664,plain,
% 42.80/28.42 (v193(sK0_VarCurr) <=> v193(constB57)),
% 42.80/28.42 inference(symmetry,[status(thm)],[28663])).
% 42.80/28.42 tff(28665,plain,
% 42.80/28.42 (v193(constB57)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[86, 28664])).
% 42.80/28.42 tff(28666,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB55, bitIndex0)) | v90(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB55, bitIndex0)) | v90(constB55, bitIndex0))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28667,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB55, bitIndex0)) | v90(constB55, bitIndex0))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28668,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB55, bitIndex0)) | v90(constB55, bitIndex0)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28667, 28666])).
% 42.80/28.42 tff(28669,plain,
% 42.80/28.42 (~v88(constB55, bitIndex0)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28668, 14501, 7100])).
% 42.80/28.42 tff(28670,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex2)) | v88(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB55, bitIndex2)) | v88(constB55, bitIndex2))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28671,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex2)) | v88(constB55, bitIndex2))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28672,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB55, bitIndex2)) | v88(constB55, bitIndex2)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28671, 28670])).
% 42.80/28.42 tff(28673,plain,
% 42.80/28.42 (v88(constB55, bitIndex2)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28672, 28145, 7035])).
% 42.80/28.42 tff(28674,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28675,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28676,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28675, 28674])).
% 42.80/28.42 tff(28677,plain,
% 42.80/28.42 (v88(constB55, bitIndex1)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28676, 14543, 7066])).
% 42.80/28.42 tff(28678,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v144(constB55))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v144(constB55))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28679,plain,
% 42.80/28.42 (((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0) | v144(constB55)) <=> (v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v144(constB55))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28680,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0) | v144(constB55))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v144(constB55)))),
% 42.80/28.42 inference(monotonicity,[status(thm)],[28679])).
% 42.80/28.42 tff(28681,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0) | v144(constB55))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v144(constB55))),
% 42.80/28.42 inference(transitivity,[status(thm)],[28680, 28678])).
% 42.80/28.42 tff(28682,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0) | v144(constB55))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28683,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v144(constB55)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28682, 28681])).
% 42.80/28.42 tff(28684,plain,
% 42.80/28.42 (v144(constB55)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28683, 28163, 28677, 28673, 28669])).
% 42.80/28.42 tff(28685,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB55)) | v142(constB55))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB55)) | v142(constB55))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28686,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB55)) | v142(constB55))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28687,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB55)) | v142(constB55)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28686, 28685])).
% 42.80/28.42 tff(28688,plain,
% 42.80/28.42 (v142(constB55)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28687, 28177, 28684])).
% 42.80/28.42 tff(28689,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB55)) | v167(constB55))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB55)) | v167(constB55))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28690,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB55)) | v167(constB55))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28691,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB55)) | v167(constB55)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28690, 28689])).
% 42.80/28.42 tff(28692,plain,
% 42.80/28.42 (v167(constB55)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28691, 14582, 28688])).
% 42.80/28.42 tff(28693,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB55)) | (~v170(constB55)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB55)) | (~v170(constB55)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28694,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB55)) | (~v170(constB55)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28695,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB55)) | (~v170(constB55))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28694, 28693])).
% 42.80/28.42 tff(28696,plain,
% 42.80/28.42 (~v170(constB55)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28695, 14593, 28692])).
% 42.80/28.42 tff(28697,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB55) | (~v167(constB55)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB55) | (~v167(constB55)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28698,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB55) | (~v167(constB55)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28699,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB55) | (~v167(constB55))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28698, 28697])).
% 42.80/28.42 tff(28700,plain,
% 42.80/28.42 (v166(constB55)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28699, 14607, 28692])).
% 42.80/28.42 tff(28701,plain,
% 42.80/28.42 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB55)) | (~v166(constB55)) | v170(constB55))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB55)) | (~v166(constB55)) | v170(constB55))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28702,plain,
% 42.80/28.42 (((~v166(constB55)) | v170(constB55) | (~v163(constB55))) <=> ((~v163(constB55)) | (~v166(constB55)) | v170(constB55))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28703,plain,
% 42.80/28.42 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB55)) | v170(constB55) | (~v163(constB55)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB55)) | (~v166(constB55)) | v170(constB55)))),
% 42.80/28.42 inference(monotonicity,[status(thm)],[28702])).
% 42.80/28.42 tff(28704,plain,
% 42.80/28.42 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB55)) | v170(constB55) | (~v163(constB55)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB55)) | (~v166(constB55)) | v170(constB55))),
% 42.80/28.42 inference(transitivity,[status(thm)],[28703, 28701])).
% 42.80/28.42 tff(28705,plain,
% 42.80/28.42 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB55)) | v170(constB55) | (~v163(constB55)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28706,plain,
% 42.80/28.42 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB55)) | (~v166(constB55)) | v170(constB55)),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28705, 28704])).
% 42.80/28.42 tff(28707,plain,
% 42.80/28.42 (~v163(constB55)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28706, 14621, 28700, 28696])).
% 42.80/28.42 tff(28708,plain,
% 42.80/28.42 (^[VarCurr: state_type] : refl((v163(VarCurr) | (~v201(VarCurr))) <=> (v163(VarCurr) | (~v201(VarCurr))))),
% 42.80/28.42 inference(bind,[status(th)],[])).
% 42.80/28.42 tff(28709,plain,
% 42.80/28.42 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 42.80/28.42 inference(quant_intro,[status(thm)],[28708])).
% 42.80/28.42 tff(28710,plain,
% 42.80/28.42 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28711,plain,
% 42.80/28.42 (^[VarCurr: state_type] : rewrite(((~v201(VarCurr)) | v163(VarCurr)) <=> (v163(VarCurr) | (~v201(VarCurr))))),
% 42.80/28.42 inference(bind,[status(th)],[])).
% 42.80/28.42 tff(28712,plain,
% 42.80/28.42 (![VarCurr: state_type] : ((~v201(VarCurr)) | v163(VarCurr)) <=> ![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 42.80/28.42 inference(quant_intro,[status(thm)],[28711])).
% 42.80/28.42 tff(28713,axiom,(![VarCurr: state_type] : ((~v201(VarCurr)) | v163(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_3')).
% 42.80/28.42 tff(28714,plain,
% 42.80/28.42 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28713, 28712])).
% 42.80/28.42 tff(28715,plain,
% 42.80/28.42 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28714, 28710])).
% 42.80/28.42 tff(28716,plain,(
% 42.80/28.42 ![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 42.80/28.42 inference(skolemize,[status(sab)],[28715])).
% 42.80/28.42 tff(28717,plain,
% 42.80/28.42 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28716, 28709])).
% 42.80/28.42 tff(28718,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB55) | (~v201(constB55)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB55) | (~v201(constB55)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28719,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB55) | (~v201(constB55)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28720,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB55) | (~v201(constB55))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28719, 28718])).
% 42.80/28.42 tff(28721,plain,
% 42.80/28.42 (~v201(constB55)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28720, 28717, 28707])).
% 42.80/28.42 tff(28722,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB55) | (~v200(constB55)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB55) | (~v200(constB55)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28723,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB55) | (~v200(constB55)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28724,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB55) | (~v200(constB55))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28723, 28722])).
% 42.80/28.42 tff(28725,plain,
% 42.80/28.42 (~v200(constB55)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28724, 14806, 28721])).
% 42.80/28.42 tff(28726,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB55) | (~v198(constB55)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB55) | (~v198(constB55)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28727,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB55) | (~v198(constB55)))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28728,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB55) | (~v198(constB55))),
% 42.80/28.42 inference(modus_ponens,[status(thm)],[28727, 28726])).
% 42.80/28.42 tff(28729,plain,
% 42.80/28.42 (~v198(constB55)),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28728, 14820, 28725])).
% 42.80/28.42 tff(28730,assumption,(v18(constB56)), introduced(assumption)).
% 42.80/28.42 tff(28731,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB56))),
% 42.80/28.42 inference(quant_inst,[status(thm)],[])).
% 42.80/28.42 tff(28732,plain,
% 42.80/28.42 ($false),
% 42.80/28.42 inference(unit_resolution,[status(thm)],[28731, 138, 28730])).
% 42.80/28.42 tff(28733,plain,(~v18(constB56)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.42 tff(28734,plain,
% 42.80/28.42 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56)))),
% 42.80/28.42 inference(rewrite,[status(thm)],[])).
% 42.80/28.42 tff(28735,plain,
% 42.80/28.42 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28736,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28735, 28734])).
% 42.80/28.43 tff(28737,plain,
% 42.80/28.43 (v22(constB56)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28736, 154, 7156])).
% 42.80/28.43 tff(28738,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB56) | (~v22(constB56)) | (~v19(constB56)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB56) | (~v22(constB56)) | (~v19(constB56)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28739,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB56) | (~v22(constB56)) | (~v19(constB56)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28740,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB56) | (~v22(constB56)) | (~v19(constB56))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28739, 28738])).
% 42.80/28.43 tff(28741,plain,
% 42.80/28.43 (v18(constB56) | (~v19(constB56))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28740, 168, 28737])).
% 42.80/28.43 tff(28742,plain,
% 42.80/28.43 (~v19(constB56)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28741, 28733])).
% 42.80/28.43 tff(28743,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28744,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28745,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28744, 28743])).
% 42.80/28.43 tff(28746,plain,
% 42.80/28.43 (v13(constB56)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28745, 180, 28742])).
% 42.80/28.43 tff(28747,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28748,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28749,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28748, 28747])).
% 42.80/28.43 tff(28750,plain,
% 42.80/28.43 (v9(constB55) | (~v13(constB56))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28749, 197, 7133])).
% 42.80/28.43 tff(28751,plain,
% 42.80/28.43 (v9(constB55)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28750, 28746])).
% 42.80/28.43 tff(28752,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v197(constB55))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB55) | (~v9(constB55)) | v197(constB55))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28753,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v197(constB55))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28754,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB55) | (~v9(constB55)) | v197(constB55)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28753, 28752])).
% 42.80/28.43 tff(28755,plain,
% 42.80/28.43 ((~v9(constB55)) | v197(constB55)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28754, 15020, 7011])).
% 42.80/28.43 tff(28756,plain,
% 42.80/28.43 (v197(constB55)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28755, 28751])).
% 42.80/28.43 tff(28757,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB55)) | v196(constB55))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB55)) | v196(constB55))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28758,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB55)) | v196(constB55))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28759,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB55)) | v196(constB55)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28758, 28757])).
% 42.80/28.43 tff(28760,plain,
% 42.80/28.43 (v196(constB55)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28759, 15032, 28756])).
% 42.80/28.43 tff(28761,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB55)) | (~v196(constB55)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB55)) | (~v196(constB55)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28762,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB55)) | (~v196(constB55)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28763,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB55)) | (~v196(constB55))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28762, 28761])).
% 42.80/28.43 tff(28764,plain,
% 42.80/28.43 (~v194(constB55)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28763, 15046, 28760])).
% 42.80/28.43 tff(28765,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB55) | v198(constB55) | (~v191(constB55)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB55) | v198(constB55) | (~v191(constB55)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28766,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB55) | v198(constB55) | (~v191(constB55)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28767,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB55) | v198(constB55) | (~v191(constB55))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28766, 28765])).
% 42.80/28.43 tff(28768,plain,
% 42.80/28.43 (v198(constB55) | (~v191(constB55))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28767, 15060, 28764])).
% 42.80/28.43 tff(28769,plain,
% 42.80/28.43 (~v191(constB55)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28768, 28729])).
% 42.80/28.43 tff(28770,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB55, constB56)) | v191(constB55) | (~v193(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB55, constB56)) | v191(constB55) | (~v193(constB56)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28771,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB55, constB56)) | v191(constB55) | (~v193(constB56)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28772,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB55, constB56)) | v191(constB55) | (~v193(constB56))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28771, 28770])).
% 42.80/28.43 tff(28773,plain,
% 42.80/28.43 (v191(constB55) | (~v193(constB56))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28772, 15075, 7133])).
% 42.80/28.43 tff(28774,plain,
% 42.80/28.43 (~v193(constB56)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28773, 28769])).
% 42.80/28.43 tff(28775,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB56) | (~v194(constB56)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB56) | (~v194(constB56)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28776,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB56) | (~v194(constB56)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28777,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB56) | (~v194(constB56))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28776, 28775])).
% 42.80/28.43 tff(28778,plain,
% 42.80/28.43 (~v194(constB56)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28777, 15090, 28774])).
% 42.80/28.43 tff(28779,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB56)) | (~v197(constB56)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB56)) | (~v197(constB56)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28780,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB56)) | (~v197(constB56)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28781,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB56)) | (~v197(constB56))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28780, 28779])).
% 42.80/28.43 tff(28782,plain,
% 42.80/28.43 (~v197(constB56)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28781, 59, 7156])).
% 42.80/28.43 tff(28783,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB56) | (~v200(constB56)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB56) | (~v200(constB56)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28784,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB56) | (~v200(constB56)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28785,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB56) | (~v200(constB56))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28784, 28783])).
% 42.80/28.43 tff(28786,plain,
% 42.80/28.43 (~v200(constB56)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28785, 15108, 28782])).
% 42.80/28.43 tff(28787,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB56) | (~v198(constB56)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB56) | (~v198(constB56)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28788,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB56) | (~v198(constB56)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28789,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB56) | (~v198(constB56))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28788, 28787])).
% 42.80/28.43 tff(28790,plain,
% 42.80/28.43 (~v198(constB56)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28789, 14820, 28786])).
% 42.80/28.43 tff(28791,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB56) | v198(constB56) | (~v191(constB56)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB56) | v198(constB56) | (~v191(constB56)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28792,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB56) | v198(constB56) | (~v191(constB56)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28793,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB56) | v198(constB56) | (~v191(constB56))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28792, 28791])).
% 42.80/28.43 tff(28794,plain,
% 42.80/28.43 (v194(constB56) | (~v191(constB56))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28793, 15060, 28790])).
% 42.80/28.43 tff(28795,plain,
% 42.80/28.43 (~v191(constB56)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28794, 28778])).
% 42.80/28.43 tff(28796,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB56, constB57)) | v191(constB56) | (~v193(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB56, constB57)) | v191(constB56) | (~v193(constB57)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28797,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB56, constB57)) | v191(constB56) | (~v193(constB57)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28798,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB56, constB57)) | v191(constB56) | (~v193(constB57))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28797, 28796])).
% 42.80/28.43 tff(28799,plain,
% 42.80/28.43 (v191(constB56) | (~v193(constB57))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28798, 15075, 7225])).
% 42.80/28.43 tff(28800,plain,
% 42.80/28.43 (~v193(constB57)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28799, 28795])).
% 42.80/28.43 tff(28801,plain,
% 42.80/28.43 ($false),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28800, 28665])).
% 42.80/28.43 tff(28802,plain,(~(constB57 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.43 tff(28803,assumption,(constB188 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.43 tff(28804,plain,
% 42.80/28.43 (v1(constB188) <=> v1(sK0_VarCurr)),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28803])).
% 42.80/28.43 tff(28805,plain,
% 42.80/28.43 (v1(sK0_VarCurr) <=> v1(constB188)),
% 42.80/28.43 inference(symmetry,[status(thm)],[28804])).
% 42.80/28.43 tff(28806,plain,
% 42.80/28.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB188))),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28805])).
% 42.80/28.43 tff(28807,plain,
% 42.80/28.43 (~v1(constB188)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[63, 28806])).
% 42.80/28.43 tff(28808,plain,
% 42.80/28.43 (v1(constB188) <=> v1(constB188)),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28809,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 42.80/28.43 tff(28810,plain,
% 42.80/28.43 (v1(constB188)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28809, 28808])).
% 42.80/28.43 tff(28811,plain,
% 42.80/28.43 ($false),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28810, 28807])).
% 42.80/28.43 tff(28812,plain,(~(constB188 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.43 tff(28813,assumption,(constB153 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.43 tff(28814,plain,
% 42.80/28.43 (v193(constB153) <=> v193(sK0_VarCurr)),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28813])).
% 42.80/28.43 tff(28815,plain,
% 42.80/28.43 (v193(sK0_VarCurr) <=> v193(constB153)),
% 42.80/28.43 inference(symmetry,[status(thm)],[28814])).
% 42.80/28.43 tff(28816,plain,
% 42.80/28.43 (v193(constB153)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[86, 28815])).
% 42.80/28.43 tff(28817,plain,
% 42.80/28.43 (~v90(constB149, bitIndex2)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[20992, 20891])).
% 42.80/28.43 tff(28818,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28819,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28820,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28819, 28818])).
% 42.80/28.43 tff(28821,plain,
% 42.80/28.43 (~v88(constB149, bitIndex2)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28820, 14456, 28817])).
% 42.80/28.43 tff(28822,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28823,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28824,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28823, 28822])).
% 42.80/28.43 tff(28825,plain,
% 42.80/28.43 (~v88(constB149, bitIndex0)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28824, 14501, 20942])).
% 42.80/28.43 tff(28826,plain,
% 42.80/28.43 (v130(constB147, bitIndex1)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[20771, 1788, 20400])).
% 42.80/28.43 tff(28827,plain,
% 42.80/28.43 (v127(constB147, bitIndex1)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[20755, 28826])).
% 42.80/28.43 tff(28828,plain,
% 42.80/28.43 (v129(constB148, bitIndex1)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[20750, 28827])).
% 42.80/28.43 tff(28829,plain,
% 42.80/28.43 (v90(constB148, bitIndex1)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[20744, 1174, 20887, 28828])).
% 42.80/28.43 tff(28830,plain,
% 42.80/28.43 (v90(constB149, bitIndex1)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[20955, 28829])).
% 42.80/28.43 tff(28831,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28832,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28833,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28832, 28831])).
% 42.80/28.43 tff(28834,plain,
% 42.80/28.43 (v88(constB149, bitIndex1)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28833, 14543, 28830])).
% 42.80/28.43 tff(28835,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28836,plain,
% 42.80/28.43 ((v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149)) <=> ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28837,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149)))),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28836])).
% 42.80/28.43 tff(28838,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149))),
% 42.80/28.43 inference(transitivity,[status(thm)],[28837, 28835])).
% 42.80/28.43 tff(28839,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28840,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28839, 28838])).
% 42.80/28.43 tff(28841,plain,
% 42.80/28.43 (v143(constB149)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28840, 14557, 28834, 28825, 28821])).
% 42.80/28.43 tff(28842,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB149)) | v142(constB149))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28843,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28844,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB149)) | v142(constB149)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28843, 28842])).
% 42.80/28.43 tff(28845,plain,
% 42.80/28.43 (v142(constB149)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28844, 14571, 28841])).
% 42.80/28.43 tff(28846,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB149)) | v167(constB149))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB149)) | v167(constB149))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28847,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB149)) | v167(constB149))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28848,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB149)) | v167(constB149)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28847, 28846])).
% 42.80/28.43 tff(28849,plain,
% 42.80/28.43 (v167(constB149)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28848, 14582, 28845])).
% 42.80/28.43 tff(28850,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB149)) | (~v170(constB149)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB149)) | (~v170(constB149)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28851,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB149)) | (~v170(constB149)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28852,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB149)) | (~v170(constB149))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28851, 28850])).
% 42.80/28.43 tff(28853,plain,
% 42.80/28.43 (~v170(constB149)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28852, 14593, 28849])).
% 42.80/28.43 tff(28854,plain,
% 42.80/28.43 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB149) | (~v167(constB149)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB149) | (~v167(constB149)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28855,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB149) | (~v167(constB149)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28856,plain,
% 42.80/28.43 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB149) | (~v167(constB149))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28855, 28854])).
% 42.80/28.43 tff(28857,plain,
% 42.80/28.43 (v166(constB149)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28856, 14607, 28849])).
% 42.80/28.43 tff(28858,plain,
% 42.80/28.43 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB149)) | (~v166(constB149)) | v170(constB149))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB149)) | (~v166(constB149)) | v170(constB149))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28859,plain,
% 42.80/28.43 (((~v166(constB149)) | v170(constB149) | (~v163(constB149))) <=> ((~v163(constB149)) | (~v166(constB149)) | v170(constB149))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28860,plain,
% 42.80/28.43 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB149)) | v170(constB149) | (~v163(constB149)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB149)) | (~v166(constB149)) | v170(constB149)))),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28859])).
% 42.80/28.43 tff(28861,plain,
% 42.80/28.43 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB149)) | v170(constB149) | (~v163(constB149)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB149)) | (~v166(constB149)) | v170(constB149))),
% 42.80/28.43 inference(transitivity,[status(thm)],[28860, 28858])).
% 42.80/28.43 tff(28862,plain,
% 42.80/28.43 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB149)) | v170(constB149) | (~v163(constB149)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28863,plain,
% 42.80/28.43 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB149)) | (~v166(constB149)) | v170(constB149)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28862, 28861])).
% 42.80/28.43 tff(28864,plain,
% 42.80/28.43 (~v163(constB149)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28863, 14621, 28857, 28853])).
% 42.80/28.43 tff(28865,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28866,plain,
% 42.80/28.43 (((~nextState(constB149, constB150)) | v163(constB149) | (~v186(constB150))) <=> (v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28867,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB149, constB150)) | v163(constB149) | (~v186(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150))))),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28866])).
% 42.80/28.43 tff(28868,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB149, constB150)) | v163(constB149) | (~v186(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150)))),
% 42.80/28.43 inference(transitivity,[status(thm)],[28867, 28865])).
% 42.80/28.43 tff(28869,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB149, constB150)) | v163(constB149) | (~v186(constB150)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28870,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28869, 28868])).
% 42.80/28.43 tff(28871,plain,
% 42.80/28.43 (v163(constB149) | (~v186(constB150))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28870, 14641, 21168])).
% 42.80/28.43 tff(28872,plain,
% 42.80/28.43 (~v186(constB150)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28871, 28864])).
% 42.80/28.43 tff(28873,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v181(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB149, constB150)) | v181(constB150) | v104(constB150))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28874,plain,
% 42.80/28.43 (((~nextState(constB149, constB150)) | v104(constB150) | v181(constB150)) <=> ((~nextState(constB149, constB150)) | v181(constB150) | v104(constB150))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28875,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v181(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v181(constB150) | v104(constB150)))),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28874])).
% 42.80/28.43 tff(28876,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v181(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB149, constB150)) | v181(constB150) | v104(constB150))),
% 42.80/28.43 inference(transitivity,[status(thm)],[28875, 28873])).
% 42.80/28.43 tff(28877,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v181(constB150))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28878,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB149, constB150)) | v181(constB150) | v104(constB150)),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28877, 28876])).
% 42.80/28.43 tff(28879,plain,
% 42.80/28.43 (v181(constB150) | v104(constB150)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28878, 14663, 21168])).
% 42.80/28.43 tff(28880,plain,
% 42.80/28.43 (v181(constB150)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28879, 21180])).
% 42.80/28.43 tff(28881,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28882,plain,
% 42.80/28.43 (((~nextState(constB149, constB150)) | (~v1(constB150)) | v180(constB150) | (~v181(constB150))) <=> ((~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28883,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v180(constB150) | (~v181(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150))))),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28882])).
% 42.80/28.43 tff(28884,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v180(constB150) | (~v181(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150)))),
% 42.80/28.43 inference(transitivity,[status(thm)],[28883, 28881])).
% 42.80/28.43 tff(28885,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v180(constB150) | (~v181(constB150)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28886,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28885, 28884])).
% 42.80/28.43 tff(28887,plain,
% 42.80/28.43 (v180(constB150) | (~v181(constB150))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28886, 14684, 21168, 21191])).
% 42.80/28.43 tff(28888,plain,
% 42.80/28.43 (v180(constB150)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28887, 28880])).
% 42.80/28.43 tff(28889,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28890,plain,
% 42.80/28.43 (((~nextState(constB149, constB150)) | (~v180(constB150)) | v179(constB150)) <=> ((~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28891,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | (~v180(constB150)) | v179(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150))))),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28890])).
% 42.80/28.43 tff(28892,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | (~v180(constB150)) | v179(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150)))),
% 42.80/28.43 inference(transitivity,[status(thm)],[28891, 28889])).
% 42.80/28.43 tff(28893,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | (~v180(constB150)) | v179(constB150))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28894,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28893, 28892])).
% 42.80/28.43 tff(28895,plain,
% 42.80/28.43 (v179(constB150) | (~v180(constB150))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28894, 14702, 21168])).
% 42.80/28.43 tff(28896,plain,
% 42.80/28.43 (v179(constB150)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28895, 28888])).
% 42.80/28.43 tff(28897,plain,
% 42.80/28.43 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB150) | (~v159(constB150)) | (~v179(constB150)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB150) | (~v159(constB150)) | (~v179(constB150)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28898,plain,
% 42.80/28.43 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB150) | (~v159(constB150)) | (~v179(constB150)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28899,plain,
% 42.80/28.43 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB150) | (~v159(constB150)) | (~v179(constB150))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 42.80/28.43 tff(28900,plain,
% 42.80/28.43 (v186(constB150) | (~v159(constB150))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28899, 14720, 28896])).
% 42.80/28.43 tff(28901,plain,
% 42.80/28.43 (~v159(constB150)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28900, 28872])).
% 42.80/28.43 tff(28902,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28903,plain,
% 42.80/28.43 (((~nextState(constB150, constB151)) | v1(constB151) | (~v180(constB151))) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28904,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v1(constB151) | (~v180(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151))))),
% 42.80/28.43 inference(monotonicity,[status(thm)],[28903])).
% 42.80/28.43 tff(28905,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v1(constB151) | (~v180(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151)))),
% 42.80/28.43 inference(transitivity,[status(thm)],[28904, 28902])).
% 42.80/28.43 tff(28906,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v1(constB151) | (~v180(constB151)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28907,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28906, 28905])).
% 42.80/28.43 tff(28908,plain,
% 42.80/28.43 (~v180(constB151)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28907, 14741, 21259, 21256])).
% 42.80/28.43 tff(28909,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB150, constB151)) | v180(constB151) | (~v179(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB150, constB151)) | v180(constB151) | (~v179(constB151)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28910,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB150, constB151)) | v180(constB151) | (~v179(constB151)))),
% 42.80/28.43 inference(quant_inst,[status(thm)],[])).
% 42.80/28.43 tff(28911,plain,
% 42.80/28.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB150, constB151)) | v180(constB151) | (~v179(constB151))),
% 42.80/28.43 inference(modus_ponens,[status(thm)],[28910, 28909])).
% 42.80/28.43 tff(28912,plain,
% 42.80/28.43 (v180(constB151) | (~v179(constB151))),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28911, 14758, 21259])).
% 42.80/28.43 tff(28913,plain,
% 42.80/28.43 (~v179(constB151)),
% 42.80/28.43 inference(unit_resolution,[status(thm)],[28912, 28908])).
% 42.80/28.43 tff(28914,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28915,plain,
% 42.80/28.43 (((~nextState(constB150, constB151)) | v179(constB151) | v159(constB150) | (~v159(constB151))) <=> (v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151)))),
% 42.80/28.43 inference(rewrite,[status(thm)],[])).
% 42.80/28.43 tff(28916,plain,
% 42.80/28.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB150, constB151)) | v179(constB151) | v159(constB150) | (~v159(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151))))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[28915])).
% 42.80/28.44 tff(28917,plain,
% 42.80/28.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB150, constB151)) | v179(constB151) | v159(constB150) | (~v159(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151)))),
% 42.80/28.44 inference(transitivity,[status(thm)],[28916, 28914])).
% 42.80/28.44 tff(28918,plain,
% 42.80/28.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB150, constB151)) | v179(constB151) | v159(constB150) | (~v159(constB151)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28919,plain,
% 42.80/28.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28918, 28917])).
% 42.80/28.44 tff(28920,plain,
% 42.80/28.44 (v159(constB150) | v179(constB151) | (~v159(constB151))),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28919, 14773, 21259])).
% 42.80/28.44 tff(28921,plain,
% 42.80/28.44 (v159(constB150) | (~v159(constB151))),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28920, 28913])).
% 42.80/28.44 tff(28922,plain,
% 42.80/28.44 (~v159(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28921, 28901])).
% 42.80/28.44 tff(28923,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB151) | (~v201(constB151)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB151) | (~v201(constB151)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28924,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB151) | (~v201(constB151)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28925,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB151) | (~v201(constB151))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28924, 28923])).
% 42.80/28.44 tff(28926,plain,
% 42.80/28.44 (~v201(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28925, 14792, 28922])).
% 42.80/28.44 tff(28927,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB151) | (~v200(constB151)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB151) | (~v200(constB151)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28928,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB151) | (~v200(constB151)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28929,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB151) | (~v200(constB151))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28928, 28927])).
% 42.80/28.44 tff(28930,plain,
% 42.80/28.44 (~v200(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28929, 14806, 28926])).
% 42.80/28.44 tff(28931,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB151) | (~v198(constB151)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB151) | (~v198(constB151)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28932,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB151) | (~v198(constB151)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28933,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB151) | (~v198(constB151))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28932, 28931])).
% 42.80/28.44 tff(28934,plain,
% 42.80/28.44 (~v198(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28933, 14820, 28930])).
% 42.80/28.44 tff(28935,assumption,(v18(constB152)), introduced(assumption)).
% 42.80/28.44 tff(28936,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB152))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28937,plain,
% 42.80/28.44 ($false),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28936, 138, 28935])).
% 42.80/28.44 tff(28938,plain,(~v18(constB152)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.44 tff(28939,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28940,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28941,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 42.80/28.44 tff(28942,plain,
% 42.80/28.44 (v22(constB152)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28941, 154, 21421])).
% 42.80/28.44 tff(28943,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB152) | (~v22(constB152)) | (~v19(constB152)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB152) | (~v22(constB152)) | (~v19(constB152)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28944,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB152) | (~v22(constB152)) | (~v19(constB152)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28945,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB152) | (~v22(constB152)) | (~v19(constB152))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28944, 28943])).
% 42.80/28.44 tff(28946,plain,
% 42.80/28.44 (v18(constB152) | (~v19(constB152))),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28945, 168, 28942])).
% 42.80/28.44 tff(28947,plain,
% 42.80/28.44 (~v19(constB152)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28946, 28938])).
% 42.80/28.44 tff(28948,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28949,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28950,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28949, 28948])).
% 42.80/28.44 tff(28951,plain,
% 42.80/28.44 (v13(constB152)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28950, 180, 28947])).
% 42.80/28.44 tff(28952,plain,
% 42.80/28.44 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28953,plain,
% 42.80/28.44 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28954,plain,
% 42.80/28.44 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28953, 28952])).
% 42.80/28.44 tff(28955,plain,
% 42.80/28.44 (v9(constB151) | (~v13(constB152))),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28954, 197, 21392])).
% 42.80/28.44 tff(28956,plain,
% 42.80/28.44 (v9(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28955, 28951])).
% 42.80/28.44 tff(28957,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v197(constB151))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB151) | (~v9(constB151)) | v197(constB151))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28958,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v197(constB151))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28959,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB151) | (~v9(constB151)) | v197(constB151)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28958, 28957])).
% 42.80/28.44 tff(28960,plain,
% 42.80/28.44 ((~v9(constB151)) | v197(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28959, 15020, 21256])).
% 42.80/28.44 tff(28961,plain,
% 42.80/28.44 (v197(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28960, 28956])).
% 42.80/28.44 tff(28962,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB151) | (~v197(constB151)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB151) | (~v197(constB151)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28963,plain,
% 42.80/28.44 (((~v197(constB151)) | v196(constB151)) <=> (v196(constB151) | (~v197(constB151)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28964,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB151)) | v196(constB151))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB151) | (~v197(constB151))))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[28963])).
% 42.80/28.44 tff(28965,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB151)) | v196(constB151))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB151) | (~v197(constB151)))),
% 42.80/28.44 inference(transitivity,[status(thm)],[28964, 28962])).
% 42.80/28.44 tff(28966,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB151)) | v196(constB151))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28967,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB151) | (~v197(constB151))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28966, 28965])).
% 42.80/28.44 tff(28968,plain,
% 42.80/28.44 (v196(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28967, 15032, 28961])).
% 42.80/28.44 tff(28969,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB151)) | (~v196(constB151)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB151)) | (~v196(constB151)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28970,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB151)) | (~v196(constB151)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28971,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB151)) | (~v196(constB151))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28970, 28969])).
% 42.80/28.44 tff(28972,plain,
% 42.80/28.44 (~v194(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28971, 15046, 28968])).
% 42.80/28.44 tff(28973,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB151) | v198(constB151) | (~v191(constB151)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB151) | v198(constB151) | (~v191(constB151)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28974,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB151) | v198(constB151) | (~v191(constB151)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28975,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB151) | v198(constB151) | (~v191(constB151))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28974, 28973])).
% 42.80/28.44 tff(28976,plain,
% 42.80/28.44 (v198(constB151) | (~v191(constB151))),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28975, 15060, 28972])).
% 42.80/28.44 tff(28977,plain,
% 42.80/28.44 (~v191(constB151)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28976, 28934])).
% 42.80/28.44 tff(28978,plain,
% 42.80/28.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB151, constB152)) | v191(constB151) | (~v193(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB151, constB152)) | v191(constB151) | (~v193(constB152)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28979,plain,
% 42.80/28.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB151, constB152)) | v191(constB151) | (~v193(constB152)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28980,plain,
% 42.80/28.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB151, constB152)) | v191(constB151) | (~v193(constB152))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28979, 28978])).
% 42.80/28.44 tff(28981,plain,
% 42.80/28.44 (v191(constB151) | (~v193(constB152))),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28980, 15075, 21392])).
% 42.80/28.44 tff(28982,plain,
% 42.80/28.44 (~v193(constB152)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28981, 28977])).
% 42.80/28.44 tff(28983,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB152) | (~v194(constB152)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB152) | (~v194(constB152)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28984,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB152) | (~v194(constB152)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28985,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB152) | (~v194(constB152))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28984, 28983])).
% 42.80/28.44 tff(28986,plain,
% 42.80/28.44 (~v194(constB152)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28985, 15090, 28982])).
% 42.80/28.44 tff(28987,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB152)) | (~v197(constB152)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB152)) | (~v197(constB152)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28988,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB152)) | (~v197(constB152)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28989,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB152)) | (~v197(constB152))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28988, 28987])).
% 42.80/28.44 tff(28990,plain,
% 42.80/28.44 (~v197(constB152)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28989, 59, 21421])).
% 42.80/28.44 tff(28991,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB152) | (~v200(constB152)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB152) | (~v200(constB152)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28992,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB152) | (~v200(constB152)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28993,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB152) | (~v200(constB152))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28992, 28991])).
% 42.80/28.44 tff(28994,plain,
% 42.80/28.44 (~v200(constB152)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28993, 15108, 28990])).
% 42.80/28.44 tff(28995,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB152) | (~v198(constB152)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB152) | (~v198(constB152)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(28996,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB152) | (~v198(constB152)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(28997,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB152) | (~v198(constB152))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[28996, 28995])).
% 42.80/28.44 tff(28998,plain,
% 42.80/28.44 (~v198(constB152)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[28997, 14820, 28994])).
% 42.80/28.44 tff(28999,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB152) | v198(constB152) | (~v191(constB152)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB152) | v198(constB152) | (~v191(constB152)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29000,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB152) | v198(constB152) | (~v191(constB152)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29001,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB152) | v198(constB152) | (~v191(constB152))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29000, 28999])).
% 42.80/28.44 tff(29002,plain,
% 42.80/28.44 (v194(constB152) | (~v191(constB152))),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29001, 15060, 28998])).
% 42.80/28.44 tff(29003,plain,
% 42.80/28.44 (~v191(constB152)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29002, 28986])).
% 42.80/28.44 tff(29004,plain,
% 42.80/28.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB152, constB153)) | v191(constB152) | (~v193(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB152, constB153)) | v191(constB152) | (~v193(constB153)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29005,plain,
% 42.80/28.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB152, constB153)) | v191(constB152) | (~v193(constB153)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29006,plain,
% 42.80/28.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB152, constB153)) | v191(constB152) | (~v193(constB153))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29005, 29004])).
% 42.80/28.44 tff(29007,plain,
% 42.80/28.44 (v191(constB152) | (~v193(constB153))),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29006, 15075, 21477])).
% 42.80/28.44 tff(29008,plain,
% 42.80/28.44 (~v193(constB153)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29007, 29003])).
% 42.80/28.44 tff(29009,plain,
% 42.80/28.44 ($false),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29008, 28816])).
% 42.80/28.44 tff(29010,plain,(~(constB153 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.44 tff(29011,assumption,(constB36 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.44 tff(29012,plain,
% 42.80/28.44 (v1(constB36) <=> v1(sK0_VarCurr)),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29011])).
% 42.80/28.44 tff(29013,plain,
% 42.80/28.44 (v1(sK0_VarCurr) <=> v1(constB36)),
% 42.80/28.44 inference(symmetry,[status(thm)],[29012])).
% 42.80/28.44 tff(29014,plain,
% 42.80/28.44 ((~v1(sK0_VarCurr)) <=> (~v1(constB36))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29013])).
% 42.80/28.44 tff(29015,plain,
% 42.80/28.44 (~v1(constB36)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[63, 29014])).
% 42.80/28.44 tff(29016,plain,
% 42.80/28.44 ($false),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[5065, 29015])).
% 42.80/28.44 tff(29017,plain,(~(constB36 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.44 tff(29018,assumption,(constB76 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.44 tff(29019,plain,
% 42.80/28.44 (v1(constB76) <=> v1(sK0_VarCurr)),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29018])).
% 42.80/28.44 tff(29020,plain,
% 42.80/28.44 (v1(sK0_VarCurr) <=> v1(constB76)),
% 42.80/28.44 inference(symmetry,[status(thm)],[29019])).
% 42.80/28.44 tff(29021,plain,
% 42.80/28.44 ((~v1(sK0_VarCurr)) <=> (~v1(constB76))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29020])).
% 42.80/28.44 tff(29022,plain,
% 42.80/28.44 (~v1(constB76)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[63, 29021])).
% 42.80/28.44 tff(29023,plain,
% 42.80/28.44 ($false),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[9698, 29022])).
% 42.80/28.44 tff(29024,plain,(~(constB76 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.44 tff(29025,assumption,(constB44 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.44 tff(29026,plain,
% 42.80/28.44 (v1(constB44) <=> v1(sK0_VarCurr)),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29025])).
% 42.80/28.44 tff(29027,plain,
% 42.80/28.44 (v1(sK0_VarCurr) <=> v1(constB44)),
% 42.80/28.44 inference(symmetry,[status(thm)],[29026])).
% 42.80/28.44 tff(29028,plain,
% 42.80/28.44 ((~v1(sK0_VarCurr)) <=> (~v1(constB44))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29027])).
% 42.80/28.44 tff(29029,plain,
% 42.80/28.44 (~v1(constB44)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[63, 29028])).
% 42.80/28.44 tff(29030,plain,
% 42.80/28.44 ($false),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[5947, 29029])).
% 42.80/28.44 tff(29031,plain,(~(constB44 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.44 tff(29032,assumption,(constB2 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.44 tff(29033,plain,
% 42.80/28.44 (v1(constB2) <=> v1(sK0_VarCurr)),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29032])).
% 42.80/28.44 tff(29034,plain,
% 42.80/28.44 (v1(sK0_VarCurr) <=> v1(constB2)),
% 42.80/28.44 inference(symmetry,[status(thm)],[29033])).
% 42.80/28.44 tff(29035,plain,
% 42.80/28.44 ((~v1(sK0_VarCurr)) <=> (~v1(constB2))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29034])).
% 42.80/28.44 tff(29036,plain,
% 42.80/28.44 (~v1(constB2)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[63, 29035])).
% 42.80/28.44 tff(29037,plain,
% 42.80/28.44 ($false),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[684, 29036])).
% 42.80/28.44 tff(29038,plain,(~(constB2 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.44 tff(29039,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 42.80/28.44 tff(29040,plain,
% 42.80/28.44 (v193(constB87) <=> v193(sK0_VarCurr)),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29039])).
% 42.80/28.44 tff(29041,plain,
% 42.80/28.44 (v193(sK0_VarCurr) <=> v193(constB87)),
% 42.80/28.44 inference(symmetry,[status(thm)],[29040])).
% 42.80/28.44 tff(29042,plain,
% 42.80/28.44 (v193(constB87)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[86, 29041])).
% 42.80/28.44 tff(29043,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29044,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29045,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29044, 29043])).
% 42.80/28.44 tff(29046,plain,
% 42.80/28.44 (~v88(constB85, bitIndex0)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29045, 14501, 10680])).
% 42.80/28.44 tff(29047,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29048,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29049,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29048, 29047])).
% 42.80/28.44 tff(29050,plain,
% 42.80/28.44 (v88(constB85, bitIndex2)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29049, 28145, 10615])).
% 42.80/28.44 tff(29051,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29052,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29053,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29052, 29051])).
% 42.80/28.44 tff(29054,plain,
% 42.80/28.44 (v88(constB85, bitIndex1)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29053, 14543, 10646])).
% 42.80/28.44 tff(29055,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29056,plain,
% 42.80/28.44 (((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85)) <=> (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29057,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29056])).
% 42.80/28.44 tff(29058,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 42.80/28.44 inference(transitivity,[status(thm)],[29057, 29055])).
% 42.80/28.44 tff(29059,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29060,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29059, 29058])).
% 42.80/28.44 tff(29061,plain,
% 42.80/28.44 (v144(constB85)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29060, 28163, 29054, 29050, 29046])).
% 42.80/28.44 tff(29062,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB85)) | v142(constB85))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29063,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29064,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB85)) | v142(constB85)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29063, 29062])).
% 42.80/28.44 tff(29065,plain,
% 42.80/28.44 (v142(constB85)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29064, 28177, 29061])).
% 42.80/28.44 tff(29066,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB85)) | v167(constB85))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB85)) | v167(constB85))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29067,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB85)) | v167(constB85))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29068,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB85)) | v167(constB85)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29067, 29066])).
% 42.80/28.44 tff(29069,plain,
% 42.80/28.44 (v167(constB85)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29068, 14582, 29065])).
% 42.80/28.44 tff(29070,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB85)) | (~v170(constB85)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB85)) | (~v170(constB85)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29071,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB85)) | (~v170(constB85)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29072,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB85)) | (~v170(constB85))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29071, 29070])).
% 42.80/28.44 tff(29073,plain,
% 42.80/28.44 (~v170(constB85)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29072, 14593, 29069])).
% 42.80/28.44 tff(29074,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29075,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29076,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29075, 29074])).
% 42.80/28.44 tff(29077,plain,
% 42.80/28.44 (v166(constB85)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29076, 14607, 29069])).
% 42.80/28.44 tff(29078,plain,
% 42.80/28.44 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | (~v166(constB85)) | v170(constB85))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29079,plain,
% 42.80/28.44 (((~v166(constB85)) | v170(constB85) | (~v163(constB85))) <=> ((~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29080,plain,
% 42.80/28.44 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | (~v166(constB85)) | v170(constB85)))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29079])).
% 42.80/28.44 tff(29081,plain,
% 42.80/28.44 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 42.80/28.44 inference(transitivity,[status(thm)],[29080, 29078])).
% 42.80/28.44 tff(29082,plain,
% 42.80/28.44 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29083,plain,
% 42.80/28.44 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29082, 29081])).
% 42.80/28.44 tff(29084,plain,
% 42.80/28.44 (~v163(constB85)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29083, 14621, 29077, 29073])).
% 42.80/28.44 tff(29085,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB85) | (~v201(constB85)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB85) | (~v201(constB85)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29086,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB85) | (~v201(constB85)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29087,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB85) | (~v201(constB85))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29086, 29085])).
% 42.80/28.44 tff(29088,plain,
% 42.80/28.44 (~v201(constB85)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29087, 28717, 29084])).
% 42.80/28.44 tff(29089,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB85) | (~v200(constB85)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB85) | (~v200(constB85)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29090,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB85) | (~v200(constB85)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29091,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB85) | (~v200(constB85))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29090, 29089])).
% 42.80/28.44 tff(29092,plain,
% 42.80/28.44 (~v200(constB85)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29091, 14806, 29088])).
% 42.80/28.44 tff(29093,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB85) | (~v198(constB85)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB85) | (~v198(constB85)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29094,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB85) | (~v198(constB85)))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29095,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB85) | (~v198(constB85))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29094, 29093])).
% 42.80/28.44 tff(29096,plain,
% 42.80/28.44 (~v198(constB85)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29095, 14820, 29092])).
% 42.80/28.44 tff(29097,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB81, bitIndex2)) | v90(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB81, bitIndex2)) | v90(constB81, bitIndex2))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29098,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB81, bitIndex2)) | v90(constB81, bitIndex2))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29099,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB81, bitIndex2)) | v90(constB81, bitIndex2)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29098, 29097])).
% 42.80/28.44 tff(29100,plain,
% 42.80/28.44 (~v88(constB81, bitIndex2)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29099, 14456, 10218])).
% 42.80/28.44 tff(29101,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB81, bitIndex1)) | v88(constB81, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB81, bitIndex1)) | v88(constB81, bitIndex1))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29102,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB81, bitIndex1)) | v88(constB81, bitIndex1))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29103,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB81, bitIndex1)) | v88(constB81, bitIndex1)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29102, 29101])).
% 42.80/28.44 tff(29104,plain,
% 42.80/28.44 (v88(constB81, bitIndex1)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29103, 14543, 10249])).
% 42.80/28.44 tff(29105,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB81, bitIndex0)) | v88(constB81, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB81, bitIndex0)) | v88(constB81, bitIndex0))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29106,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB81, bitIndex0)) | v88(constB81, bitIndex0))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29107,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB81, bitIndex0)) | v88(constB81, bitIndex0)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29106, 29105])).
% 42.80/28.44 tff(29108,plain,
% 42.80/28.44 (v88(constB81, bitIndex0)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29107, 14846, 10280])).
% 42.80/28.44 tff(29109,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)) | (~v88(constB81, bitIndex1)) | v141(constB81))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)) | (~v88(constB81, bitIndex1)) | v141(constB81))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29110,plain,
% 42.80/28.44 ((v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)) | v141(constB81)) <=> (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)) | (~v88(constB81, bitIndex1)) | v141(constB81))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29111,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)) | v141(constB81))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)) | (~v88(constB81, bitIndex1)) | v141(constB81)))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29110])).
% 42.80/28.44 tff(29112,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)) | v141(constB81))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)) | (~v88(constB81, bitIndex1)) | v141(constB81))),
% 42.80/28.44 inference(transitivity,[status(thm)],[29111, 29109])).
% 42.80/28.44 tff(29113,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)) | v141(constB81))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29114,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)) | (~v88(constB81, bitIndex1)) | v141(constB81)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29113, 29112])).
% 42.80/28.44 tff(29115,plain,
% 42.80/28.44 (v141(constB81)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29114, 15902, 29108, 29104, 29100])).
% 42.80/28.44 tff(29116,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (v168(constB81) | (~v141(constB81)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB81) | (~v141(constB81)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29117,plain,
% 42.80/28.44 (((~v141(constB81)) | v168(constB81)) <=> (v168(constB81) | (~v141(constB81)))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29118,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB81)) | v168(constB81))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (v168(constB81) | (~v141(constB81))))),
% 42.80/28.44 inference(monotonicity,[status(thm)],[29117])).
% 42.80/28.44 tff(29119,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB81)) | v168(constB81))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB81) | (~v141(constB81)))),
% 42.80/28.44 inference(transitivity,[status(thm)],[29118, 29116])).
% 42.80/28.44 tff(29120,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB81)) | v168(constB81))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29121,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB81) | (~v141(constB81))),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29120, 29119])).
% 42.80/28.44 tff(29122,plain,
% 42.80/28.44 (v168(constB81)),
% 42.80/28.44 inference(unit_resolution,[status(thm)],[29121, 15916, 29115])).
% 42.80/28.44 tff(29123,plain,
% 42.80/28.44 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB81)) | v167(constB81))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB81)) | v167(constB81))),
% 42.80/28.44 inference(rewrite,[status(thm)],[])).
% 42.80/28.44 tff(29124,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB81)) | v167(constB81))),
% 42.80/28.44 inference(quant_inst,[status(thm)],[])).
% 42.80/28.44 tff(29125,plain,
% 42.80/28.44 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB81)) | v167(constB81)),
% 42.80/28.44 inference(modus_ponens,[status(thm)],[29124, 29123])).
% 42.80/28.45 tff(29126,plain,
% 42.80/28.45 (v167(constB81)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29125, 14899, 29122])).
% 42.80/28.45 tff(29127,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB81)) | (~v170(constB81)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB81)) | (~v170(constB81)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29128,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB81)) | (~v170(constB81)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29129,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB81)) | (~v170(constB81))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29128, 29127])).
% 42.80/28.45 tff(29130,plain,
% 42.80/28.45 (~v170(constB81)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29129, 14593, 29126])).
% 42.80/28.45 tff(29131,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB81) | (~v167(constB81)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB81) | (~v167(constB81)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29132,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB81) | (~v167(constB81)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29133,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB81) | (~v167(constB81))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29132, 29131])).
% 42.80/28.45 tff(29134,plain,
% 42.80/28.45 (v166(constB81)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29133, 14607, 29126])).
% 42.80/28.45 tff(29135,plain,
% 42.80/28.45 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB81)) | (~v166(constB81)) | v170(constB81))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB81)) | (~v166(constB81)) | v170(constB81))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29136,plain,
% 42.80/28.45 (((~v166(constB81)) | v170(constB81) | (~v163(constB81))) <=> ((~v163(constB81)) | (~v166(constB81)) | v170(constB81))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29137,plain,
% 42.80/28.45 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB81)) | v170(constB81) | (~v163(constB81)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB81)) | (~v166(constB81)) | v170(constB81)))),
% 42.80/28.45 inference(monotonicity,[status(thm)],[29136])).
% 42.80/28.45 tff(29138,plain,
% 42.80/28.45 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB81)) | v170(constB81) | (~v163(constB81)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB81)) | (~v166(constB81)) | v170(constB81))),
% 42.80/28.45 inference(transitivity,[status(thm)],[29137, 29135])).
% 42.80/28.45 tff(29139,plain,
% 42.80/28.45 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB81)) | v170(constB81) | (~v163(constB81)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29140,plain,
% 42.80/28.45 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB81)) | (~v166(constB81)) | v170(constB81)),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29139, 29138])).
% 42.80/28.45 tff(29141,plain,
% 42.80/28.45 (~v163(constB81)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29140, 14621, 29134, 29130])).
% 42.80/28.45 tff(29142,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB81) | (~nextState(constB81, constB82)) | (~v186(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB81) | (~nextState(constB81, constB82)) | (~v186(constB82)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29143,plain,
% 42.80/28.45 (((~nextState(constB81, constB82)) | v163(constB81) | (~v186(constB82))) <=> (v163(constB81) | (~nextState(constB81, constB82)) | (~v186(constB82)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29144,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB81, constB82)) | v163(constB81) | (~v186(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB81) | (~nextState(constB81, constB82)) | (~v186(constB82))))),
% 42.80/28.45 inference(monotonicity,[status(thm)],[29143])).
% 42.80/28.45 tff(29145,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB81, constB82)) | v163(constB81) | (~v186(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB81) | (~nextState(constB81, constB82)) | (~v186(constB82)))),
% 42.80/28.45 inference(transitivity,[status(thm)],[29144, 29142])).
% 42.80/28.45 tff(29146,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB81, constB82)) | v163(constB81) | (~v186(constB82)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29147,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB81) | (~nextState(constB81, constB82)) | (~v186(constB82))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29146, 29145])).
% 42.80/28.45 tff(29148,plain,
% 42.80/28.45 (v163(constB81) | (~v186(constB82))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29147, 14641, 10328])).
% 42.80/28.45 tff(29149,plain,
% 42.80/28.45 (~v186(constB82)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29148, 29141])).
% 42.80/28.45 tff(29150,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB81, constB82)) | v181(constB82) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB81, constB82)) | v181(constB82) | v104(constB82))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29151,plain,
% 42.80/28.45 (((~nextState(constB81, constB82)) | v104(constB82) | v181(constB82)) <=> ((~nextState(constB81, constB82)) | v181(constB82) | v104(constB82))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29152,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v181(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB81, constB82)) | v181(constB82) | v104(constB82)))),
% 42.80/28.45 inference(monotonicity,[status(thm)],[29151])).
% 42.80/28.45 tff(29153,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v181(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB81, constB82)) | v181(constB82) | v104(constB82))),
% 42.80/28.45 inference(transitivity,[status(thm)],[29152, 29150])).
% 42.80/28.45 tff(29154,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v181(constB82))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29155,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB81, constB82)) | v181(constB82) | v104(constB82)),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29154, 29153])).
% 42.80/28.45 tff(29156,plain,
% 42.80/28.45 (v181(constB82) | v104(constB82)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29155, 14663, 10328])).
% 42.80/28.45 tff(29157,plain,
% 42.80/28.45 (v181(constB82)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29156, 10340])).
% 42.80/28.45 tff(29158,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB81, constB82)) | v180(constB82) | (~v1(constB82)) | (~v181(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB81, constB82)) | v180(constB82) | (~v1(constB82)) | (~v181(constB82)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29159,plain,
% 42.80/28.45 (((~nextState(constB81, constB82)) | (~v1(constB82)) | v180(constB82) | (~v181(constB82))) <=> ((~nextState(constB81, constB82)) | v180(constB82) | (~v1(constB82)) | (~v181(constB82)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29160,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v180(constB82) | (~v181(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB81, constB82)) | v180(constB82) | (~v1(constB82)) | (~v181(constB82))))),
% 42.80/28.45 inference(monotonicity,[status(thm)],[29159])).
% 42.80/28.45 tff(29161,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v180(constB82) | (~v181(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB81, constB82)) | v180(constB82) | (~v1(constB82)) | (~v181(constB82)))),
% 42.80/28.45 inference(transitivity,[status(thm)],[29160, 29158])).
% 42.80/28.45 tff(29162,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v180(constB82) | (~v181(constB82)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29163,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB81, constB82)) | v180(constB82) | (~v1(constB82)) | (~v181(constB82))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29162, 29161])).
% 42.80/28.45 tff(29164,plain,
% 42.80/28.45 (v180(constB82) | (~v181(constB82))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29163, 14684, 10328, 10351])).
% 42.80/28.45 tff(29165,plain,
% 42.80/28.45 (v180(constB82)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29164, 29157])).
% 42.80/28.45 tff(29166,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB81, constB82)) | v179(constB82) | (~v180(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB81, constB82)) | v179(constB82) | (~v180(constB82)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29167,plain,
% 42.80/28.45 (((~nextState(constB81, constB82)) | (~v180(constB82)) | v179(constB82)) <=> ((~nextState(constB81, constB82)) | v179(constB82) | (~v180(constB82)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29168,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB81, constB82)) | (~v180(constB82)) | v179(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB81, constB82)) | v179(constB82) | (~v180(constB82))))),
% 42.80/28.45 inference(monotonicity,[status(thm)],[29167])).
% 42.80/28.45 tff(29169,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB81, constB82)) | (~v180(constB82)) | v179(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB81, constB82)) | v179(constB82) | (~v180(constB82)))),
% 42.80/28.45 inference(transitivity,[status(thm)],[29168, 29166])).
% 42.80/28.45 tff(29170,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB81, constB82)) | (~v180(constB82)) | v179(constB82))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29171,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB81, constB82)) | v179(constB82) | (~v180(constB82))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29170, 29169])).
% 42.80/28.45 tff(29172,plain,
% 42.80/28.45 (v179(constB82) | (~v180(constB82))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29171, 14702, 10328])).
% 42.80/28.45 tff(29173,plain,
% 42.80/28.45 (v179(constB82)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29172, 29165])).
% 42.80/28.45 tff(29174,plain,
% 42.80/28.45 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB82) | (~v159(constB82)) | (~v179(constB82)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB82) | (~v159(constB82)) | (~v179(constB82)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29175,plain,
% 42.80/28.45 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB82) | (~v159(constB82)) | (~v179(constB82)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29176,plain,
% 42.80/28.45 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB82) | (~v159(constB82)) | (~v179(constB82))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29175, 29174])).
% 42.80/28.45 tff(29177,plain,
% 42.80/28.45 (v186(constB82) | (~v159(constB82))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29176, 14720, 29173])).
% 42.80/28.45 tff(29178,plain,
% 42.80/28.45 (~v159(constB82)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29177, 29149])).
% 42.80/28.45 tff(29179,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v180(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v180(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29180,plain,
% 42.80/28.45 (((~nextState(constB82, constB83)) | v1(constB83) | (~v180(constB83))) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v180(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29181,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB82, constB83)) | v1(constB83) | (~v180(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v180(constB83))))),
% 42.80/28.45 inference(monotonicity,[status(thm)],[29180])).
% 42.80/28.45 tff(29182,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB82, constB83)) | v1(constB83) | (~v180(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v180(constB83)))),
% 42.80/28.45 inference(transitivity,[status(thm)],[29181, 29179])).
% 42.80/28.45 tff(29183,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB82, constB83)) | v1(constB83) | (~v180(constB83)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29184,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v180(constB83))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29183, 29182])).
% 42.80/28.45 tff(29185,plain,
% 42.80/28.45 (~v180(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29184, 14741, 10396, 10393])).
% 42.80/28.45 tff(29186,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB82, constB83)) | v180(constB83) | (~v179(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB82, constB83)) | v180(constB83) | (~v179(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29187,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB82, constB83)) | v180(constB83) | (~v179(constB83)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29188,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB82, constB83)) | v180(constB83) | (~v179(constB83))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29187, 29186])).
% 42.80/28.45 tff(29189,plain,
% 42.80/28.45 (v180(constB83) | (~v179(constB83))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29188, 14758, 10396])).
% 42.80/28.45 tff(29190,plain,
% 42.80/28.45 (~v179(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29189, 29185])).
% 42.80/28.45 tff(29191,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB82) | (~nextState(constB82, constB83)) | v179(constB83) | (~v159(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB82) | (~nextState(constB82, constB83)) | v179(constB83) | (~v159(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29192,plain,
% 42.80/28.45 (((~nextState(constB82, constB83)) | v179(constB83) | v159(constB82) | (~v159(constB83))) <=> (v159(constB82) | (~nextState(constB82, constB83)) | v179(constB83) | (~v159(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29193,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB82, constB83)) | v179(constB83) | v159(constB82) | (~v159(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB82) | (~nextState(constB82, constB83)) | v179(constB83) | (~v159(constB83))))),
% 42.80/28.45 inference(monotonicity,[status(thm)],[29192])).
% 42.80/28.45 tff(29194,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB82, constB83)) | v179(constB83) | v159(constB82) | (~v159(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB82) | (~nextState(constB82, constB83)) | v179(constB83) | (~v159(constB83)))),
% 42.80/28.45 inference(transitivity,[status(thm)],[29193, 29191])).
% 42.80/28.45 tff(29195,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB82, constB83)) | v179(constB83) | v159(constB82) | (~v159(constB83)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29196,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB82) | (~nextState(constB82, constB83)) | v179(constB83) | (~v159(constB83))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29195, 29194])).
% 42.80/28.45 tff(29197,plain,
% 42.80/28.45 (v159(constB82) | v179(constB83) | (~v159(constB83))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29196, 14773, 10396])).
% 42.80/28.45 tff(29198,plain,
% 42.80/28.45 (v159(constB82) | (~v159(constB83))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29197, 29190])).
% 42.80/28.45 tff(29199,plain,
% 42.80/28.45 (~v159(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29198, 29178])).
% 42.80/28.45 tff(29200,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB83) | (~v201(constB83)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB83) | (~v201(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29201,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB83) | (~v201(constB83)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29202,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB83) | (~v201(constB83))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 42.80/28.45 tff(29203,plain,
% 42.80/28.45 (~v201(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29202, 14792, 29199])).
% 42.80/28.45 tff(29204,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB83) | (~v200(constB83)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB83) | (~v200(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29205,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB83) | (~v200(constB83)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29206,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB83) | (~v200(constB83))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29205, 29204])).
% 42.80/28.45 tff(29207,plain,
% 42.80/28.45 (~v200(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29206, 14806, 29203])).
% 42.80/28.45 tff(29208,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB83) | (~v198(constB83)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB83) | (~v198(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29209,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB83) | (~v198(constB83)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29210,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB83) | (~v198(constB83))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 42.80/28.45 tff(29211,plain,
% 42.80/28.45 (~v198(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29210, 14820, 29207])).
% 42.80/28.45 tff(29212,assumption,(v18(constB84)), introduced(assumption)).
% 42.80/28.45 tff(29213,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB84))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29214,plain,
% 42.80/28.45 ($false),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29213, 138, 29212])).
% 42.80/28.45 tff(29215,plain,(~v18(constB84)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.45 tff(29216,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29217,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29218,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29217, 29216])).
% 42.80/28.45 tff(29219,plain,
% 42.80/28.45 (v22(constB84)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29218, 154, 10549])).
% 42.80/28.45 tff(29220,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB84) | (~v22(constB84)) | (~v19(constB84)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB84) | (~v22(constB84)) | (~v19(constB84)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29221,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB84) | (~v22(constB84)) | (~v19(constB84)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29222,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB84) | (~v22(constB84)) | (~v19(constB84))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29221, 29220])).
% 42.80/28.45 tff(29223,plain,
% 42.80/28.45 (v18(constB84) | (~v19(constB84))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29222, 168, 29219])).
% 42.80/28.45 tff(29224,plain,
% 42.80/28.45 (~v19(constB84)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29223, 29215])).
% 42.80/28.45 tff(29225,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29226,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29227,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84)),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29226, 29225])).
% 42.80/28.45 tff(29228,plain,
% 42.80/28.45 (v13(constB84)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29227, 180, 29224])).
% 42.80/28.45 tff(29229,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29230,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29231,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29230, 29229])).
% 42.80/28.45 tff(29232,plain,
% 42.80/28.45 (v9(constB83) | (~v13(constB84))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29231, 197, 10526])).
% 42.80/28.45 tff(29233,plain,
% 42.80/28.45 (v9(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29232, 29228])).
% 42.80/28.45 tff(29234,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v197(constB83))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB83) | (~v9(constB83)) | v197(constB83))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29235,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v197(constB83))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29236,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB83) | (~v9(constB83)) | v197(constB83)),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29235, 29234])).
% 42.80/28.45 tff(29237,plain,
% 42.80/28.45 ((~v9(constB83)) | v197(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29236, 15020, 10393])).
% 42.80/28.45 tff(29238,plain,
% 42.80/28.45 (v197(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29237, 29233])).
% 42.80/28.45 tff(29239,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB83)) | v196(constB83))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB83)) | v196(constB83))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29240,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB83)) | v196(constB83))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29241,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB83)) | v196(constB83)),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29240, 29239])).
% 42.80/28.45 tff(29242,plain,
% 42.80/28.45 (v196(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29241, 15032, 29238])).
% 42.80/28.45 tff(29243,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB83)) | (~v196(constB83)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB83)) | (~v196(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29244,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB83)) | (~v196(constB83)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29245,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB83)) | (~v196(constB83))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29244, 29243])).
% 42.80/28.45 tff(29246,plain,
% 42.80/28.45 (~v194(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29245, 15046, 29242])).
% 42.80/28.45 tff(29247,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB83) | v198(constB83) | (~v191(constB83)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB83) | v198(constB83) | (~v191(constB83)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29248,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB83) | v198(constB83) | (~v191(constB83)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29249,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB83) | v198(constB83) | (~v191(constB83))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29248, 29247])).
% 42.80/28.45 tff(29250,plain,
% 42.80/28.45 (v198(constB83) | (~v191(constB83))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29249, 15060, 29246])).
% 42.80/28.45 tff(29251,plain,
% 42.80/28.45 (~v191(constB83)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29250, 29211])).
% 42.80/28.45 tff(29252,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB83, constB84)) | v191(constB83) | (~v193(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB83, constB84)) | v191(constB83) | (~v193(constB84)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29253,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB83, constB84)) | v191(constB83) | (~v193(constB84)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29254,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB83, constB84)) | v191(constB83) | (~v193(constB84))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29253, 29252])).
% 42.80/28.45 tff(29255,plain,
% 42.80/28.45 (v191(constB83) | (~v193(constB84))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29254, 15075, 10526])).
% 42.80/28.45 tff(29256,plain,
% 42.80/28.45 (~v193(constB84)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29255, 29251])).
% 42.80/28.45 tff(29257,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB84) | (~v194(constB84)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB84) | (~v194(constB84)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29258,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB84) | (~v194(constB84)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29259,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB84) | (~v194(constB84))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29258, 29257])).
% 42.80/28.45 tff(29260,plain,
% 42.80/28.45 (~v194(constB84)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29259, 15090, 29256])).
% 42.80/28.45 tff(29261,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB84)) | (~v197(constB84)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB84)) | (~v197(constB84)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29262,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB84)) | (~v197(constB84)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29263,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB84)) | (~v197(constB84))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29262, 29261])).
% 42.80/28.45 tff(29264,plain,
% 42.80/28.45 (~v197(constB84)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29263, 59, 10549])).
% 42.80/28.45 tff(29265,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB84) | (~v200(constB84)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB84) | (~v200(constB84)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29266,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB84) | (~v200(constB84)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29267,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB84) | (~v200(constB84))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29266, 29265])).
% 42.80/28.45 tff(29268,plain,
% 42.80/28.45 (~v200(constB84)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29267, 15108, 29264])).
% 42.80/28.45 tff(29269,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB84) | (~v198(constB84)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB84) | (~v198(constB84)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29270,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB84) | (~v198(constB84)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29271,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB84) | (~v198(constB84))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29270, 29269])).
% 42.80/28.45 tff(29272,plain,
% 42.80/28.45 (~v198(constB84)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29271, 14820, 29268])).
% 42.80/28.45 tff(29273,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB84) | v198(constB84) | (~v191(constB84)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB84) | v198(constB84) | (~v191(constB84)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29274,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB84) | v198(constB84) | (~v191(constB84)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29275,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB84) | v198(constB84) | (~v191(constB84))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29274, 29273])).
% 42.80/28.45 tff(29276,plain,
% 42.80/28.45 (v194(constB84) | (~v191(constB84))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29275, 15060, 29272])).
% 42.80/28.45 tff(29277,plain,
% 42.80/28.45 (~v191(constB84)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29276, 29260])).
% 42.80/28.45 tff(29278,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB84, constB85)) | v191(constB84) | (~v193(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB84, constB85)) | v191(constB84) | (~v193(constB85)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29279,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB84, constB85)) | v191(constB84) | (~v193(constB85)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29280,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB84, constB85)) | v191(constB84) | (~v193(constB85))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29279, 29278])).
% 42.80/28.45 tff(29281,plain,
% 42.80/28.45 (v191(constB84) | (~v193(constB85))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29280, 15075, 10594])).
% 42.80/28.45 tff(29282,plain,
% 42.80/28.45 (~v193(constB85)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29281, 29277])).
% 42.80/28.45 tff(29283,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB85) | (~v194(constB85)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB85) | (~v194(constB85)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29284,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB85) | (~v194(constB85)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29285,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB85) | (~v194(constB85))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29284, 29283])).
% 42.80/28.45 tff(29286,plain,
% 42.80/28.45 (~v194(constB85)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29285, 15090, 29282])).
% 42.80/28.45 tff(29287,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB85) | v198(constB85) | (~v191(constB85)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB85) | v198(constB85) | (~v191(constB85)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29288,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB85) | v198(constB85) | (~v191(constB85)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29289,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB85) | v198(constB85) | (~v191(constB85))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29288, 29287])).
% 42.80/28.45 tff(29290,plain,
% 42.80/28.45 (v198(constB85) | (~v191(constB85))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29289, 15060, 29286])).
% 42.80/28.45 tff(29291,plain,
% 42.80/28.45 (~v191(constB85)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29290, 29096])).
% 42.80/28.45 tff(29292,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB85, constB86)) | v191(constB85) | (~v193(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB85, constB86)) | v191(constB85) | (~v193(constB86)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29293,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB85, constB86)) | v191(constB85) | (~v193(constB86)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29294,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB85, constB86)) | v191(constB85) | (~v193(constB86))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 42.80/28.45 tff(29295,plain,
% 42.80/28.45 (v191(constB85) | (~v193(constB86))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29294, 15075, 10707])).
% 42.80/28.45 tff(29296,plain,
% 42.80/28.45 (~v193(constB86)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29295, 29291])).
% 42.80/28.45 tff(29297,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB86) | (~v194(constB86)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB86) | (~v194(constB86)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29298,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB86) | (~v194(constB86)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29299,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB86) | (~v194(constB86))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29298, 29297])).
% 42.80/28.45 tff(29300,plain,
% 42.80/28.45 (~v194(constB86)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29299, 15090, 29296])).
% 42.80/28.45 tff(29301,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB86)) | (~v197(constB86)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB86)) | (~v197(constB86)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29302,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB86)) | (~v197(constB86)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29303,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB86)) | (~v197(constB86))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29302, 29301])).
% 42.80/28.45 tff(29304,plain,
% 42.80/28.45 (~v197(constB86)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29303, 59, 10730])).
% 42.80/28.45 tff(29305,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB86) | (~v200(constB86)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB86) | (~v200(constB86)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29306,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB86) | (~v200(constB86)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29307,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB86) | (~v200(constB86))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29306, 29305])).
% 42.80/28.45 tff(29308,plain,
% 42.80/28.45 (~v200(constB86)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29307, 15108, 29304])).
% 42.80/28.45 tff(29309,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB86) | (~v198(constB86)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB86) | (~v198(constB86)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29310,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB86) | (~v198(constB86)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29311,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB86) | (~v198(constB86))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29310, 29309])).
% 42.80/28.45 tff(29312,plain,
% 42.80/28.45 (~v198(constB86)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29311, 14820, 29308])).
% 42.80/28.45 tff(29313,plain,
% 42.80/28.45 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB86) | v198(constB86) | (~v191(constB86)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB86) | v198(constB86) | (~v191(constB86)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29314,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB86) | v198(constB86) | (~v191(constB86)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.45 tff(29315,plain,
% 42.80/28.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB86) | v198(constB86) | (~v191(constB86))),
% 42.80/28.45 inference(modus_ponens,[status(thm)],[29314, 29313])).
% 42.80/28.45 tff(29316,plain,
% 42.80/28.45 (v194(constB86) | (~v191(constB86))),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29315, 15060, 29312])).
% 42.80/28.45 tff(29317,plain,
% 42.80/28.45 (~v191(constB86)),
% 42.80/28.45 inference(unit_resolution,[status(thm)],[29316, 29300])).
% 42.80/28.45 tff(29318,plain,
% 42.80/28.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB86, constB87)) | v191(constB86) | (~v193(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB86, constB87)) | v191(constB86) | (~v193(constB87)))),
% 42.80/28.45 inference(rewrite,[status(thm)],[])).
% 42.80/28.45 tff(29319,plain,
% 42.80/28.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB86, constB87)) | v191(constB86) | (~v193(constB87)))),
% 42.80/28.45 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29320,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB86, constB87)) | v191(constB86) | (~v193(constB87))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29319, 29318])).
% 42.80/28.46 tff(29321,plain,
% 42.80/28.46 (v191(constB86) | (~v193(constB87))),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29320, 15075, 11071])).
% 42.80/28.46 tff(29322,plain,
% 42.80/28.46 (~v193(constB87)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29321, 29317])).
% 42.80/28.46 tff(29323,plain,
% 42.80/28.46 ($false),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29322, 29042])).
% 42.80/28.46 tff(29324,plain,(~(constB87 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.46 tff(29325,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB169)) | (~v90(constB169, bitIndex1)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29326,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB169)) | (~v90(constB169, bitIndex1)))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29327,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB169)) | (~v90(constB169, bitIndex1))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29326, 29325])).
% 42.80/28.46 tff(29328,plain,
% 42.80/28.46 (~v120(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29327, 1391, 27918])).
% 42.80/28.46 tff(29329,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB169)) | v90(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB169)) | v90(constB169, bitIndex0))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29330,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB169)) | v90(constB169, bitIndex0))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29331,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB169)) | v90(constB169, bitIndex0)),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29330, 29329])).
% 42.80/28.46 tff(29332,plain,
% 42.80/28.46 (~v122(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29331, 4538, 27883])).
% 42.80/28.46 tff(29333,assumption,(v120(constB167)), introduced(assumption)).
% 42.80/28.46 tff(29334,plain,
% 42.80/28.46 (v118(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27698, 1630, 29333])).
% 42.80/28.46 tff(29335,plain,
% 42.80/28.46 (v117(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27705, 511, 29334])).
% 42.80/28.46 tff(29336,plain,
% 42.80/28.46 (v116(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27712, 525, 29335])).
% 42.80/28.46 tff(29337,plain,
% 42.80/28.46 (v115(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27719, 539, 29336])).
% 42.80/28.46 tff(29338,plain,
% 42.80/28.46 (v114(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27726, 553, 29337])).
% 42.80/28.46 tff(29339,plain,
% 42.80/28.46 (v113(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27733, 567, 29338])).
% 42.80/28.46 tff(29340,plain,
% 42.80/28.46 (v112(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27745, 29339])).
% 42.80/28.46 tff(29341,plain,
% 42.80/28.46 (v108(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27752, 746, 29340])).
% 42.80/28.46 tff(29342,plain,
% 42.80/28.46 (v110(constB168)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27763, 29341])).
% 42.80/28.46 tff(29343,plain,
% 42.80/28.46 (v100(constB168)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27795, 29342])).
% 42.80/28.46 tff(29344,plain,
% 42.80/28.46 (~v130(constB167, bitIndex2)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27799, 1732, 29333])).
% 42.80/28.46 tff(29345,plain,
% 42.80/28.46 (~v127(constB167, bitIndex2)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27807, 29344])).
% 42.80/28.46 tff(29346,plain,
% 42.80/28.46 (~v129(constB168, bitIndex2)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27812, 29345])).
% 42.80/28.46 tff(29347,plain,
% 42.80/28.46 ((~v90(constB168, bitIndex2)) | (~v100(constB168))),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27816, 1452, 29346])).
% 42.80/28.46 tff(29348,plain,
% 42.80/28.46 (~v90(constB168, bitIndex2)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29347, 29343])).
% 42.80/28.46 tff(29349,plain,
% 42.80/28.46 (~v90(constB169, bitIndex2)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27844, 29348])).
% 42.80/28.46 tff(29350,plain,
% 42.80/28.46 (v130(constB167, bitIndex1)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27890, 1788, 29333])).
% 42.80/28.46 tff(29351,plain,
% 42.80/28.46 (v127(constB167, bitIndex1)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27895, 29350])).
% 42.80/28.46 tff(29352,plain,
% 42.80/28.46 (v129(constB168, bitIndex1)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27900, 29351])).
% 42.80/28.46 tff(29353,plain,
% 42.80/28.46 (v90(constB168, bitIndex1) | (~v100(constB168))),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27907, 1174, 29352])).
% 42.80/28.46 tff(29354,plain,
% 42.80/28.46 (v90(constB168, bitIndex1)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29353, 29343])).
% 42.80/28.46 tff(29355,plain,
% 42.80/28.46 (v90(constB169, bitIndex1)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27917, 29354])).
% 42.80/28.46 tff(29356,plain,
% 42.80/28.46 (~v130(constB167, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27852, 1826, 29333])).
% 42.80/28.46 tff(29357,plain,
% 42.80/28.46 (~v127(constB167, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27860, 29356])).
% 42.80/28.46 tff(29358,plain,
% 42.80/28.46 (~v129(constB168, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27865, 29357])).
% 42.80/28.46 tff(29359,plain,
% 42.80/28.46 ((~v90(constB168, bitIndex0)) | (~v100(constB168))),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27872, 952, 29358])).
% 42.80/28.46 tff(29360,plain,
% 42.80/28.46 (~v90(constB168, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29359, 29343])).
% 42.80/28.46 tff(29361,plain,
% 42.80/28.46 (~v90(constB169, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27882, 29360])).
% 42.80/28.46 tff(29362,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29363,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29364,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169)),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29363, 29362])).
% 42.80/28.46 tff(29365,plain,
% 42.80/28.46 (v121(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29364, 1870, 29361, 29355, 29349])).
% 42.80/28.46 tff(29366,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB169) | (~v121(constB169)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB169) | (~v121(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29367,plain,
% 42.80/28.46 (((~v121(constB169)) | v117(constB169)) <=> (v117(constB169) | (~v121(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29368,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB169)) | v117(constB169))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB169) | (~v121(constB169))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29367])).
% 42.80/28.46 tff(29369,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB169)) | v117(constB169))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB169) | (~v121(constB169)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29368, 29366])).
% 42.80/28.46 tff(29370,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB169)) | v117(constB169))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29371,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB169) | (~v121(constB169))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29370, 29369])).
% 42.80/28.46 tff(29372,plain,
% 42.80/28.46 (v117(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29371, 1881, 29365])).
% 42.80/28.46 tff(29373,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB169) | (~v117(constB169)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB169) | (~v117(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29374,plain,
% 42.80/28.46 (((~v117(constB169)) | v116(constB169)) <=> (v116(constB169) | (~v117(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29375,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB169)) | v116(constB169))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB169) | (~v117(constB169))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29374])).
% 42.80/28.46 tff(29376,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB169)) | v116(constB169))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB169) | (~v117(constB169)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29375, 29373])).
% 42.80/28.46 tff(29377,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB169)) | v116(constB169))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29378,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB169) | (~v117(constB169))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29377, 29376])).
% 42.80/28.46 tff(29379,plain,
% 42.80/28.46 (v116(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29378, 525, 29372])).
% 42.80/28.46 tff(29380,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB169) | (~v116(constB169)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB169) | (~v116(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29381,plain,
% 42.80/28.46 (((~v116(constB169)) | v115(constB169)) <=> (v115(constB169) | (~v116(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29382,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB169)) | v115(constB169))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB169) | (~v116(constB169))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29381])).
% 42.80/28.46 tff(29383,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB169)) | v115(constB169))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB169) | (~v116(constB169)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29382, 29380])).
% 42.80/28.46 tff(29384,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB169)) | v115(constB169))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29385,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB169) | (~v116(constB169))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29384, 29383])).
% 42.80/28.46 tff(29386,plain,
% 42.80/28.46 (v115(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29385, 539, 29379])).
% 42.80/28.46 tff(29387,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB169) | (~v115(constB169)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB169) | (~v115(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29388,plain,
% 42.80/28.46 (((~v115(constB169)) | v114(constB169)) <=> (v114(constB169) | (~v115(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29389,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB169)) | v114(constB169))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB169) | (~v115(constB169))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29388])).
% 42.80/28.46 tff(29390,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB169)) | v114(constB169))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB169) | (~v115(constB169)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29389, 29387])).
% 42.80/28.46 tff(29391,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB169)) | v114(constB169))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29392,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB169) | (~v115(constB169))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29391, 29390])).
% 42.80/28.46 tff(29393,plain,
% 42.80/28.46 (v114(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29392, 553, 29386])).
% 42.80/28.46 tff(29394,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB169)) | v113(constB169))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29395,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB169)) | v113(constB169))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29396,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB169)) | v113(constB169)),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29395, 29394])).
% 42.80/28.46 tff(29397,plain,
% 42.80/28.46 (v113(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29396, 567, 29393])).
% 42.80/28.46 tff(29398,assumption,(v26(constB169)), introduced(assumption)).
% 42.80/28.46 tff(29399,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29400,plain,
% 42.80/28.46 ($false),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29399, 95, 29398])).
% 42.80/28.46 tff(29401,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.46 tff(29402,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29403,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29404,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169)),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29403, 29402])).
% 42.80/28.46 tff(29405,plain,
% 42.80/28.46 ((~v113(constB169)) | v112(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29404, 581, 29401])).
% 42.80/28.46 tff(29406,plain,
% 42.80/28.46 (v112(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29405, 29397])).
% 42.80/28.46 tff(29407,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29408,plain,
% 42.80/28.46 (((~v112(constB169)) | v108(constB169)) <=> (v108(constB169) | (~v112(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29409,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29408])).
% 42.80/28.46 tff(29410,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29409, 29407])).
% 42.80/28.46 tff(29411,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29412,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29411, 29410])).
% 42.80/28.46 tff(29413,plain,
% 42.80/28.46 (v108(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29412, 746, 29406])).
% 42.80/28.46 tff(29414,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29415,plain,
% 42.80/28.46 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29416,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29415])).
% 42.80/28.46 tff(29417,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29416, 29414])).
% 42.80/28.46 tff(29418,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29419,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29418, 29417])).
% 42.80/28.46 tff(29420,plain,
% 42.80/28.46 (v110(constB170) | (~v108(constB169))),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29419, 731, 27955])).
% 42.80/28.46 tff(29421,plain,
% 42.80/28.46 (v110(constB170)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29420, 29413])).
% 42.80/28.46 tff(29422,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29423,plain,
% 42.80/28.46 (((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)) <=> ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29424,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170)))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29423])).
% 42.80/28.46 tff(29425,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29424, 29422])).
% 42.80/28.46 tff(29426,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29427,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170)),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29426, 29425])).
% 42.80/28.46 tff(29428,plain,
% 42.80/28.46 (v104(constB170) | v102(constB170)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29427, 673, 27955])).
% 42.80/28.46 tff(29429,plain,
% 42.80/28.46 (v102(constB170)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29428, 27967])).
% 42.80/28.46 tff(29430,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29431,plain,
% 42.80/28.46 (((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))) <=> ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29432,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29431])).
% 42.80/28.46 tff(29433,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29432, 29430])).
% 42.80/28.46 tff(29434,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29435,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29434, 29433])).
% 42.80/28.46 tff(29436,plain,
% 42.80/28.46 (v101(constB170) | (~v102(constB170))),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29435, 694, 27955, 27978])).
% 42.80/28.46 tff(29437,plain,
% 42.80/28.46 (v101(constB170)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29436, 29429])).
% 42.80/28.46 tff(29438,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29439,plain,
% 42.80/28.46 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29440,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29439])).
% 42.80/28.46 tff(29441,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29440, 29438])).
% 42.80/28.46 tff(29442,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29443,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29442, 29441])).
% 42.80/28.46 tff(29444,plain,
% 42.80/28.46 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29443, 712, 27955])).
% 42.80/28.46 tff(29445,plain,
% 42.80/28.46 (v100(constB170) | (~v110(constB170))),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29444, 29437])).
% 42.80/28.46 tff(29446,plain,
% 42.80/28.46 (v100(constB170)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29445, 29421])).
% 42.80/28.46 tff(29447,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB169)) | (~v90(constB169, bitIndex1)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29448,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB169)) | (~v90(constB169, bitIndex1)))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29449,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB169)) | (~v90(constB169, bitIndex1))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29448, 29447])).
% 42.80/28.46 tff(29450,plain,
% 42.80/28.46 (~v123(constB169)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29449, 1358, 29355])).
% 42.80/28.46 tff(29451,assumption,(~v90(constB169, bitIndex0)), introduced(assumption)).
% 42.80/28.46 tff(29452,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29453,plain,
% 42.80/28.46 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29454,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0)))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29453])).
% 42.80/28.46 tff(29455,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29454, 29452])).
% 42.80/28.46 tff(29456,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29457,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex0)),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29456, 29455])).
% 42.80/28.46 tff(29458,plain,
% 42.80/28.46 ((~v90(constB168, bitIndex0)) | v100(constB169) | v90(constB169, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29457, 1600, 27824])).
% 42.80/28.46 tff(29459,plain,
% 42.80/28.46 ((~v90(constB168, bitIndex0)) | v90(constB169, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29458, 27836])).
% 42.80/28.46 tff(29460,plain,
% 42.80/28.46 (~v90(constB168, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29459, 29451])).
% 42.80/28.46 tff(29461,assumption,(~v110(constB168)), introduced(assumption)).
% 42.80/28.46 tff(29462,plain,
% 42.80/28.46 (~v108(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27763, 29461])).
% 42.80/28.46 tff(29463,plain,
% 42.80/28.46 (~v112(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27752, 746, 29462])).
% 42.80/28.46 tff(29464,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v26(constB167)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v26(constB167)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29465,plain,
% 42.80/28.46 (((~v26(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v26(constB167)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29466,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v26(constB167))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29465])).
% 42.80/28.46 tff(29467,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v26(constB167)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29466, 29464])).
% 42.80/28.46 tff(29468,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB167)) | v108(constB167))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29469,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v26(constB167))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29468, 29467])).
% 42.80/28.46 tff(29470,plain,
% 42.80/28.46 (~v26(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29469, 1925, 29462])).
% 42.80/28.46 tff(29471,plain,
% 42.80/28.46 (~v113(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27744, 581, 29470, 29463])).
% 42.80/28.46 tff(29472,plain,
% 42.80/28.46 (~v114(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27733, 567, 29471])).
% 42.80/28.46 tff(29473,plain,
% 42.80/28.46 (~v115(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27726, 553, 29472])).
% 42.80/28.46 tff(29474,plain,
% 42.80/28.46 (~v116(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27719, 539, 29473])).
% 42.80/28.46 tff(29475,plain,
% 42.80/28.46 (~v117(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27712, 525, 29474])).
% 42.80/28.46 tff(29476,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB167) | (~v121(constB167)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB167) | (~v121(constB167)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29477,plain,
% 42.80/28.46 (((~v121(constB167)) | v117(constB167)) <=> (v117(constB167) | (~v121(constB167)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29478,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB167)) | v117(constB167))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB167) | (~v121(constB167))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29477])).
% 42.80/28.46 tff(29479,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB167)) | v117(constB167))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB167) | (~v121(constB167)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29478, 29476])).
% 42.80/28.46 tff(29480,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB167)) | v117(constB167))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29481,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB167) | (~v121(constB167))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29480, 29479])).
% 42.80/28.46 tff(29482,plain,
% 42.80/28.46 (~v121(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29481, 1881, 29475])).
% 42.80/28.46 tff(29483,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB167) | (~v123(constB167)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB167) | (~v123(constB167)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29484,plain,
% 42.80/28.46 (((~v123(constB167)) | v115(constB167)) <=> (v115(constB167) | (~v123(constB167)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29485,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB167)) | v115(constB167))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB167) | (~v123(constB167))))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29484])).
% 42.80/28.46 tff(29486,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB167)) | v115(constB167))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB167) | (~v123(constB167)))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29485, 29483])).
% 42.80/28.46 tff(29487,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB167)) | v115(constB167))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29488,plain,
% 42.80/28.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB167) | (~v123(constB167))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29487, 29486])).
% 42.80/28.46 tff(29489,plain,
% 42.80/28.46 (~v123(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29488, 990, 29473])).
% 42.80/28.46 tff(29490,assumption,(~v90(constB168, bitIndex0)), introduced(assumption)).
% 42.80/28.46 tff(29491,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v100(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v100(constB168)))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29492,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v100(constB168)))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29493,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v100(constB168))),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29492, 29491])).
% 42.80/28.46 tff(29494,plain,
% 42.80/28.46 (v110(constB168) | (~v100(constB168))),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29493, 3965, 27756])).
% 42.80/28.46 tff(29495,plain,
% 42.80/28.46 (~v100(constB168)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29494, 29461])).
% 42.80/28.46 tff(29496,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29497,plain,
% 42.80/28.46 (((~nextState(constB167, constB168)) | (~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0)) <=> ((~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0))),
% 42.80/28.46 inference(rewrite,[status(thm)],[])).
% 42.80/28.46 tff(29498,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0)))),
% 42.80/28.46 inference(monotonicity,[status(thm)],[29497])).
% 42.80/28.46 tff(29499,plain,
% 42.80/28.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0))),
% 42.80/28.46 inference(transitivity,[status(thm)],[29498, 29496])).
% 42.80/28.46 tff(29500,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0))),
% 42.80/28.46 inference(quant_inst,[status(thm)],[])).
% 42.80/28.46 tff(29501,plain,
% 42.80/28.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, bitIndex0)),
% 42.80/28.46 inference(modus_ponens,[status(thm)],[29500, 29499])).
% 42.80/28.46 tff(29502,plain,
% 42.80/28.46 ((~v90(constB167, bitIndex0)) | v100(constB168) | v90(constB168, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29501, 1600, 27756])).
% 42.80/28.46 tff(29503,plain,
% 42.80/28.46 (~v90(constB167, bitIndex0)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[29502, 29495, 29490])).
% 42.80/28.46 tff(29504,plain,
% 42.80/28.46 (~v118(constB167)),
% 42.80/28.46 inference(unit_resolution,[status(thm)],[27705, 511, 29475])).
% 42.80/28.46 tff(29505,plain,
% 42.80/28.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB167) | (~v119(constB167)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB167) | (~v119(constB167)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29506,plain,
% 42.80/28.47 (((~v119(constB167)) | v118(constB167)) <=> (v118(constB167) | (~v119(constB167)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29507,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB167)) | v118(constB167))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB167) | (~v119(constB167))))),
% 42.80/28.47 inference(monotonicity,[status(thm)],[29506])).
% 42.80/28.47 tff(29508,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB167)) | v118(constB167))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB167) | (~v119(constB167)))),
% 42.80/28.47 inference(transitivity,[status(thm)],[29507, 29505])).
% 42.80/28.47 tff(29509,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB167)) | v118(constB167))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29510,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB167) | (~v119(constB167))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29509, 29508])).
% 42.80/28.47 tff(29511,plain,
% 42.80/28.47 (~v119(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29510, 500, 29504])).
% 42.80/28.47 tff(29512,assumption,(~v119(constB167)), introduced(assumption)).
% 42.80/28.47 tff(29513,assumption,(~v90(constB167, bitIndex1)), introduced(assumption)).
% 42.80/28.47 tff(29514,assumption,(~v123(constB167)), introduced(assumption)).
% 42.80/28.47 tff(29515,assumption,(~v90(constB167, bitIndex0)), introduced(assumption)).
% 42.80/28.47 tff(29516,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29517,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29518,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29517, 29516])).
% 42.80/28.47 tff(29519,plain,
% 42.80/28.47 (v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v123(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29518, 979, 29515])).
% 42.80/28.47 tff(29520,plain,
% 42.80/28.47 (~v90(constB167, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29519, 29513, 29514])).
% 42.80/28.47 tff(29521,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v119(constB167))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v119(constB167))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29522,plain,
% 42.80/28.47 ((v90(constB167, bitIndex0) | v119(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2)) <=> (v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v119(constB167))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29523,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB167, bitIndex0) | v119(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v119(constB167)))),
% 42.80/28.47 inference(monotonicity,[status(thm)],[29522])).
% 42.80/28.47 tff(29524,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB167, bitIndex0) | v119(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v119(constB167))),
% 42.80/28.47 inference(transitivity,[status(thm)],[29523, 29521])).
% 42.80/28.47 tff(29525,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB167, bitIndex0) | v119(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29526,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB167, bitIndex0) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v119(constB167)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29525, 29524])).
% 42.80/28.47 tff(29527,plain,
% 42.80/28.47 (v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v119(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29526, 486, 29515])).
% 42.80/28.47 tff(29528,plain,
% 42.80/28.47 ($false),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29527, 29520, 29513, 29512])).
% 42.80/28.47 tff(29529,plain,(v90(constB167, bitIndex1) | v119(constB167) | v90(constB167, bitIndex0) | v123(constB167)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.47 tff(29530,plain,
% 42.80/28.47 (v90(constB167, bitIndex1)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29529, 29511, 29503, 29489])).
% 42.80/28.47 tff(29531,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v125(constB167)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v125(constB167)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29532,plain,
% 42.80/28.47 (((~v125(constB167)) | v113(constB167)) <=> (v113(constB167) | (~v125(constB167)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29533,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v125(constB167))))),
% 42.80/28.47 inference(monotonicity,[status(thm)],[29532])).
% 42.80/28.47 tff(29534,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v125(constB167)))),
% 42.80/28.47 inference(transitivity,[status(thm)],[29533, 29531])).
% 42.80/28.47 tff(29535,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB167)) | v113(constB167))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29536,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v125(constB167))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29535, 29534])).
% 42.80/28.47 tff(29537,plain,
% 42.80/28.47 (~v125(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29536, 1263, 29471])).
% 42.80/28.47 tff(29538,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29539,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29540,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 42.80/28.47 tff(29541,plain,
% 42.80/28.47 ((~v90(constB167, bitIndex1)) | (~v90(constB167, bitIndex2)) | v125(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29540, 1252, 29503])).
% 42.80/28.47 tff(29542,plain,
% 42.80/28.47 (~v90(constB167, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29541, 29530, 29537])).
% 42.80/28.47 tff(29543,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29544,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29545,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB167, bitIndex0) | (~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29544, 29543])).
% 42.80/28.47 tff(29546,plain,
% 42.80/28.47 ((~v90(constB167, bitIndex1)) | v90(constB167, bitIndex2) | v121(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29545, 1870, 29503])).
% 42.80/28.47 tff(29547,plain,
% 42.80/28.47 ($false),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29546, 29542, 29530, 29482])).
% 42.80/28.47 tff(29548,plain,(v110(constB168) | v90(constB168, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.47 tff(29549,plain,
% 42.80/28.47 (v110(constB168)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29548, 29460])).
% 42.80/28.47 tff(29550,plain,
% 42.80/28.47 (v100(constB168)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[27795, 29549])).
% 42.80/28.47 tff(29551,plain,
% 42.80/28.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29552,plain,
% 42.80/28.47 ((v90(constB168, bitIndex0) | (~v100(constB168)) | (~v129(constB168, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29553,plain,
% 42.80/28.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v100(constB168)) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168))))),
% 42.80/28.47 inference(monotonicity,[status(thm)],[29552])).
% 42.80/28.47 tff(29554,plain,
% 42.80/28.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v100(constB168)) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168)))),
% 42.80/28.47 inference(transitivity,[status(thm)],[29553, 29551])).
% 42.80/28.47 tff(29555,plain,
% 42.80/28.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~v100(constB168)) | (~v129(constB168, bitIndex0)))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29556,plain,
% 42.80/28.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~v129(constB168, bitIndex0)) | (~v100(constB168))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29555, 29554])).
% 42.80/28.47 tff(29557,plain,
% 42.80/28.47 (~v129(constB168, bitIndex0)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29556, 1582, 29550, 29460])).
% 42.80/28.47 tff(29558,plain,
% 42.80/28.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29559,plain,
% 42.80/28.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29560,plain,
% 42.80/28.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29559, 29558])).
% 42.80/28.47 tff(29561,plain,
% 42.80/28.47 ((~v127(constB167, bitIndex0)) | v129(constB168, bitIndex0)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29560, 1567, 27756])).
% 42.80/28.47 tff(29562,plain,
% 42.80/28.47 (~v127(constB167, bitIndex0)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29561, 29557])).
% 42.80/28.47 tff(29563,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB167) | (~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB167) | (~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29564,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB167) | (~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29565,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB167) | (~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29564, 29563])).
% 42.80/28.47 tff(29566,plain,
% 42.80/28.47 ((~v130(constB167, bitIndex0)) | v127(constB167, bitIndex0)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29565, 1552, 27738])).
% 42.80/28.47 tff(29567,plain,
% 42.80/28.47 (~v130(constB167, bitIndex0)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29566, 29562])).
% 42.80/28.47 tff(29568,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB167)) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB167)) | v130(constB167, bitIndex0))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29569,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB167)) | v130(constB167, bitIndex0))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29570,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB167)) | v130(constB167, bitIndex0)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29569, 29568])).
% 42.80/28.47 tff(29571,plain,
% 42.80/28.47 (~v124(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29570, 4083, 29567])).
% 42.80/28.47 tff(29572,assumption,(v130(constB169, bitIndex2)), introduced(assumption)).
% 42.80/28.47 tff(29573,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB169)) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB169)) | (~v130(constB169, bitIndex2)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29574,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB169)) | (~v130(constB169, bitIndex2)))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29575,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB169)) | (~v130(constB169, bitIndex2))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29574, 29573])).
% 42.80/28.47 tff(29576,plain,
% 42.80/28.47 (~v124(constB169)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29575, 3868, 29572])).
% 42.80/28.47 tff(29577,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB169)) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB169)) | (~v130(constB169, bitIndex2)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29578,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB169)) | (~v130(constB169, bitIndex2)))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29579,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB169)) | (~v130(constB169, bitIndex2))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29578, 29577])).
% 42.80/28.47 tff(29580,plain,
% 42.80/28.47 (~v120(constB169)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29579, 1732, 29572])).
% 42.80/28.47 tff(29581,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v130(constB169, bitIndex2)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29582,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v130(constB169, bitIndex2)))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29583,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v130(constB169, bitIndex2))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29582, 29581])).
% 42.80/28.47 tff(29584,plain,
% 42.80/28.47 (~v121(constB169)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29583, 1990, 29572])).
% 42.80/28.47 tff(29585,plain,
% 42.80/28.47 (~v122(constB169)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29331, 4538, 29451])).
% 42.80/28.47 tff(29586,assumption,(~v123(constB169)), introduced(assumption)).
% 42.80/28.47 tff(29587,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29588,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29589,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29588, 29587])).
% 42.80/28.47 tff(29590,plain,
% 42.80/28.47 (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v124(constB169) | (~v130(constB169, bitIndex2))),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29589, 1405, 29586])).
% 42.80/28.47 tff(29591,plain,
% 42.80/28.47 (v119(constB169)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29590, 29585, 29572, 29584, 29580, 29576])).
% 42.80/28.47 tff(29592,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB169)) | (~v90(constB169, bitIndex2)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29593,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex2)))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29594,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB169)) | (~v90(constB169, bitIndex2))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29593, 29592])).
% 42.80/28.47 tff(29595,plain,
% 42.80/28.47 (~v90(constB169, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29594, 7590, 29591])).
% 42.80/28.47 tff(29596,plain,
% 42.80/28.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29597,plain,
% 42.80/28.47 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)) <=> ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29598,plain,
% 42.80/28.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)))),
% 42.80/28.47 inference(monotonicity,[status(thm)],[29597])).
% 42.80/28.47 tff(29599,plain,
% 42.80/28.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 42.80/28.47 inference(transitivity,[status(thm)],[29598, 29596])).
% 42.80/28.47 tff(29600,plain,
% 42.80/28.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29601,plain,
% 42.80/28.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29600, 29599])).
% 42.80/28.47 tff(29602,plain,
% 42.80/28.47 ((~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29601, 783, 27824])).
% 42.80/28.47 tff(29603,plain,
% 42.80/28.47 ((~v90(constB168, bitIndex2)) | v90(constB169, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29602, 27836])).
% 42.80/28.47 tff(29604,plain,
% 42.80/28.47 (~v90(constB168, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29603, 29595])).
% 42.80/28.47 tff(29605,plain,
% 42.80/28.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29606,plain,
% 42.80/28.47 ((v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29607,plain,
% 42.80/28.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))))),
% 42.80/28.47 inference(monotonicity,[status(thm)],[29606])).
% 42.80/28.47 tff(29608,plain,
% 42.80/28.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 42.80/28.47 inference(transitivity,[status(thm)],[29607, 29605])).
% 42.80/28.47 tff(29609,plain,
% 42.80/28.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29610,plain,
% 42.80/28.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29609, 29608])).
% 42.80/28.47 tff(29611,plain,
% 42.80/28.47 (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2))),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29610, 641, 29550])).
% 42.80/28.47 tff(29612,plain,
% 42.80/28.47 (~v129(constB168, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29611, 29604])).
% 42.80/28.47 tff(29613,plain,
% 42.80/28.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29614,plain,
% 42.80/28.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29615,plain,
% 42.80/28.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29614, 29613])).
% 42.80/28.47 tff(29616,plain,
% 42.80/28.47 ((~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29615, 625, 27756])).
% 42.80/28.47 tff(29617,plain,
% 42.80/28.47 (~v127(constB167, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29616, 29612])).
% 42.80/28.47 tff(29618,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29619,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29620,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29619, 29618])).
% 42.80/28.47 tff(29621,plain,
% 42.80/28.47 ((~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29620, 607, 27738])).
% 42.80/28.47 tff(29622,plain,
% 42.80/28.47 (~v130(constB167, bitIndex2)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29621, 29617])).
% 42.80/28.47 tff(29623,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB167)) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB167)) | v130(constB167, bitIndex2))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29624,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB167)) | v130(constB167, bitIndex2))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29625,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB167)) | v130(constB167, bitIndex2)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29624, 29623])).
% 42.80/28.47 tff(29626,plain,
% 42.80/28.47 (~v122(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29625, 2224, 29622])).
% 42.80/28.47 tff(29627,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB167)) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB167)) | v130(constB167, bitIndex0))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29628,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB167)) | v130(constB167, bitIndex0))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29629,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB167)) | v130(constB167, bitIndex0)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29628, 29627])).
% 42.80/28.47 tff(29630,plain,
% 42.80/28.47 (~v121(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29629, 2088, 29567])).
% 42.80/28.47 tff(29631,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29632,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29633,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1))),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29632, 29631])).
% 42.80/28.47 tff(29634,plain,
% 42.80/28.47 (~v90(constB169, bitIndex1)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29633, 1380, 29591])).
% 42.80/28.47 tff(29635,plain,
% 42.80/28.47 (~v90(constB168, bitIndex1)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[27917, 29634])).
% 42.80/28.47 tff(29636,plain,
% 42.80/28.47 (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1))),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[27907, 1174, 29550])).
% 42.80/28.47 tff(29637,plain,
% 42.80/28.47 (~v129(constB168, bitIndex1)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29636, 29635])).
% 42.80/28.47 tff(29638,plain,
% 42.80/28.47 (~v127(constB167, bitIndex1)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[27900, 29637])).
% 42.80/28.47 tff(29639,plain,
% 42.80/28.47 (~v130(constB167, bitIndex1)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[27895, 29638])).
% 42.80/28.47 tff(29640,plain,
% 42.80/28.47 (~v120(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[27890, 1788, 29639])).
% 42.80/28.47 tff(29641,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB167)) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB167)) | v130(constB167, bitIndex2))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29642,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB167)) | v130(constB167, bitIndex2))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29643,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB167)) | v130(constB167, bitIndex2)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29642, 29641])).
% 42.80/28.47 tff(29644,plain,
% 42.80/28.47 (~v123(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29643, 1074, 29622])).
% 42.80/28.47 tff(29645,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB167)) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB167)) | v130(constB167, bitIndex2))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29646,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB167)) | v130(constB167, bitIndex2))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29647,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB167)) | v130(constB167, bitIndex2)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29646, 29645])).
% 42.80/28.47 tff(29648,plain,
% 42.80/28.47 (~v119(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29647, 593, 29622])).
% 42.80/28.47 tff(29649,plain,
% 42.80/28.47 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, bitIndex0))),
% 42.80/28.47 inference(rewrite,[status(thm)],[])).
% 42.80/28.47 tff(29650,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, bitIndex0))),
% 42.80/28.47 inference(quant_inst,[status(thm)],[])).
% 42.80/28.47 tff(29651,plain,
% 42.80/28.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, bitIndex0)),
% 42.80/28.47 inference(modus_ponens,[status(thm)],[29650, 29649])).
% 42.80/28.47 tff(29652,plain,
% 42.80/28.47 (v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167)),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29651, 1538, 29567])).
% 42.80/28.47 tff(29653,plain,
% 42.80/28.47 ($false),
% 42.80/28.47 inference(unit_resolution,[status(thm)],[29652, 29648, 29644, 29640, 29630, 29626, 29571])).
% 42.80/28.48 tff(29654,plain,(v90(constB169, bitIndex0) | (~v130(constB169, bitIndex2)) | v123(constB169)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.48 tff(29655,plain,
% 42.80/28.48 (~v130(constB169, bitIndex2)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29654, 29450, 29361])).
% 42.80/28.48 tff(29656,plain,
% 42.80/28.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29657,plain,
% 42.80/28.48 ((v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2))) <=> ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29658,plain,
% 42.80/28.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)))),
% 42.80/28.48 inference(monotonicity,[status(thm)],[29657])).
% 42.80/28.48 tff(29659,plain,
% 42.80/28.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 42.80/28.48 inference(transitivity,[status(thm)],[29658, 29656])).
% 42.80/28.48 tff(29660,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29661,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29660, 29659])).
% 42.80/28.48 tff(29662,plain,
% 42.80/28.48 ((~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29661, 1419, 29401])).
% 42.80/28.48 tff(29663,plain,
% 42.80/28.48 (~v127(constB169, bitIndex2)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29662, 29655])).
% 42.80/28.48 tff(29664,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29665,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29666,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29665, 29664])).
% 42.80/28.48 tff(29667,plain,
% 42.80/28.48 (v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29666, 1437, 27955])).
% 42.80/28.48 tff(29668,plain,
% 42.80/28.48 (~v129(constB170, bitIndex2)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29667, 29663])).
% 42.80/28.48 tff(29669,plain,
% 42.80/28.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29670,plain,
% 42.80/28.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29671,plain,
% 42.80/28.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29670, 29669])).
% 42.80/28.48 tff(29672,plain,
% 42.80/28.48 ((~v90(constB170, bitIndex2)) | (~v100(constB170))),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29671, 1452, 29668])).
% 42.80/28.48 tff(29673,plain,
% 42.80/28.48 (~v90(constB170, bitIndex2)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29672, 29446])).
% 42.80/28.48 tff(29674,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29675,plain,
% 42.80/28.48 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29676,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 42.80/28.48 inference(monotonicity,[status(thm)],[29675])).
% 42.80/28.48 tff(29677,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 42.80/28.48 inference(transitivity,[status(thm)],[29676, 29674])).
% 42.80/28.48 tff(29678,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29679,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29678, 29677])).
% 42.80/28.48 tff(29680,plain,
% 42.80/28.48 (~v101(constB171)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29679, 391, 28005, 28002])).
% 42.80/28.48 tff(29681,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29682,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29683,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29682, 29681])).
% 42.80/28.48 tff(29684,plain,
% 42.80/28.48 (v101(constB171) | (~v100(constB171))),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29683, 408, 28005])).
% 42.80/28.48 tff(29685,plain,
% 42.80/28.48 (~v100(constB171)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29684, 29680])).
% 42.80/28.48 tff(29686,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29687,plain,
% 42.80/28.48 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29688,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))))),
% 42.80/28.48 inference(monotonicity,[status(thm)],[29687])).
% 42.80/28.48 tff(29689,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 42.80/28.48 inference(transitivity,[status(thm)],[29688, 29686])).
% 42.80/28.48 tff(29690,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29691,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29690, 29689])).
% 42.80/28.48 tff(29692,plain,
% 42.80/28.48 (v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29691, 423, 28005])).
% 42.80/28.48 tff(29693,plain,
% 42.80/28.48 (v90(constB170, bitIndex2) | (~v90(constB171, bitIndex2))),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29692, 29685])).
% 42.80/28.48 tff(29694,plain,
% 42.80/28.48 (~v90(constB171, bitIndex2)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29693, 29673])).
% 42.80/28.48 tff(29695,assumption,(~v120(constB169)), introduced(assumption)).
% 42.80/28.48 tff(29696,assumption,(~v122(constB169)), introduced(assumption)).
% 42.80/28.48 tff(29697,plain,
% 42.80/28.48 (~v119(constB169)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29633, 1380, 29355])).
% 42.80/28.48 tff(29698,assumption,(~v130(constB169, bitIndex0)), introduced(assumption)).
% 42.80/28.48 tff(29699,assumption,(~v119(constB169)), introduced(assumption)).
% 42.80/28.48 tff(29700,plain,
% 42.80/28.48 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB169)) | v130(constB169, bitIndex0))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29701,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB169)) | v130(constB169, bitIndex0))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29702,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB169)) | v130(constB169, bitIndex0)),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29701, 29700])).
% 42.80/28.48 tff(29703,plain,
% 42.80/28.48 (~v124(constB169)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29702, 4083, 29698])).
% 42.80/28.48 tff(29704,plain,
% 42.80/28.48 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29705,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29706,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0)),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29705, 29704])).
% 42.80/28.48 tff(29707,plain,
% 42.80/28.48 (~v121(constB169)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29706, 2088, 29698])).
% 42.80/28.48 tff(29708,plain,
% 42.80/28.48 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29709,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29710,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0)),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29709, 29708])).
% 42.80/28.48 tff(29711,plain,
% 42.80/28.48 (v119(constB169) | v120(constB169) | v121(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29710, 1538, 29696])).
% 42.80/28.48 tff(29712,plain,
% 42.80/28.48 ($false),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29711, 29707, 29703, 29695, 29586, 29699, 29698])).
% 42.80/28.48 tff(29713,plain,(v130(constB169, bitIndex0) | v120(constB169) | v123(constB169) | v119(constB169) | v122(constB169)), inference(lemma,lemma(discharge,[]))).
% 42.80/28.48 tff(29714,plain,
% 42.80/28.48 (v130(constB169, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29713, 29697, 29696, 29695, 29450])).
% 42.80/28.48 tff(29715,plain,
% 42.80/28.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29716,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29717,plain,
% 42.80/28.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 42.80/28.48 tff(29718,plain,
% 42.80/28.48 ((~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29717, 1552, 29401])).
% 42.80/28.48 tff(29719,plain,
% 42.80/28.48 (v127(constB169, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29718, 29714])).
% 42.80/28.48 tff(29720,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29721,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29722,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29721, 29720])).
% 42.80/28.48 tff(29723,plain,
% 42.80/28.48 ((~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29722, 1567, 27955])).
% 42.80/28.48 tff(29724,plain,
% 42.80/28.48 (v129(constB170, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29723, 29719])).
% 42.80/28.48 tff(29725,plain,
% 42.80/28.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29726,plain,
% 42.80/28.48 ((v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0))) <=> (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29727,plain,
% 42.80/28.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))))),
% 42.80/28.48 inference(monotonicity,[status(thm)],[29726])).
% 42.80/28.48 tff(29728,plain,
% 42.80/28.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 42.80/28.48 inference(transitivity,[status(thm)],[29727, 29725])).
% 42.80/28.48 tff(29729,plain,
% 42.80/28.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29730,plain,
% 42.80/28.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29729, 29728])).
% 42.80/28.48 tff(29731,plain,
% 42.80/28.48 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29730, 1582, 29724])).
% 42.80/28.48 tff(29732,plain,
% 42.80/28.48 (v90(constB170, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29731, 29446])).
% 42.80/28.48 tff(29733,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29734,plain,
% 42.80/28.48 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 42.80/28.48 inference(rewrite,[status(thm)],[])).
% 42.80/28.48 tff(29735,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)))),
% 42.80/28.48 inference(monotonicity,[status(thm)],[29734])).
% 42.80/28.48 tff(29736,plain,
% 42.80/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 42.80/28.48 inference(transitivity,[status(thm)],[29735, 29733])).
% 42.80/28.48 tff(29737,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))),
% 42.80/28.48 inference(quant_inst,[status(thm)],[])).
% 42.80/28.48 tff(29738,plain,
% 42.80/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)),
% 42.80/28.48 inference(modus_ponens,[status(thm)],[29737, 29736])).
% 42.80/28.48 tff(29739,plain,
% 42.80/28.48 ((~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29738, 1600, 28005])).
% 42.80/28.48 tff(29740,plain,
% 42.80/28.48 ((~v90(constB170, bitIndex0)) | v90(constB171, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29739, 29685])).
% 42.80/28.48 tff(29741,plain,
% 42.80/28.48 (v90(constB171, bitIndex0)),
% 42.80/28.48 inference(unit_resolution,[status(thm)],[29740, 29732])).
% 42.80/28.48 tff(29742,plain,
% 42.80/28.48 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1))),
% 42.89/28.48 inference(rewrite,[status(thm)],[])).
% 42.89/28.48 tff(29743,plain,
% 42.89/28.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))),
% 42.89/28.48 inference(quant_inst,[status(thm)],[])).
% 42.89/28.48 tff(29744,plain,
% 42.89/28.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1)),
% 42.89/28.48 inference(modus_ponens,[status(thm)],[29743, 29742])).
% 42.89/28.48 tff(29745,plain,
% 42.89/28.48 (v130(constB169, bitIndex1)),
% 42.89/28.48 inference(unit_resolution,[status(thm)],[29744, 2050, 29365])).
% 42.89/28.48 tff(29746,plain,
% 42.89/28.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 42.89/28.48 inference(rewrite,[status(thm)],[])).
% 42.89/28.48 tff(29747,plain,
% 42.89/28.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 42.89/28.48 inference(quant_inst,[status(thm)],[])).
% 42.89/28.48 tff(29748,plain,
% 42.89/28.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 42.89/28.48 inference(modus_ponens,[status(thm)],[29747, 29746])).
% 42.89/28.48 tff(29749,plain,
% 42.89/28.48 ((~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 42.89/28.48 inference(unit_resolution,[status(thm)],[29748, 1144, 29401])).
% 42.89/28.48 tff(29750,plain,
% 42.89/28.48 (v127(constB169, bitIndex1)),
% 42.89/28.48 inference(unit_resolution,[status(thm)],[29749, 29745])).
% 42.89/28.48 tff(29751,plain,
% 42.89/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 42.89/28.48 inference(rewrite,[status(thm)],[])).
% 42.89/28.48 tff(29752,plain,
% 42.89/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 42.89/28.48 inference(quant_inst,[status(thm)],[])).
% 42.89/28.48 tff(29753,plain,
% 42.89/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 42.89/28.48 inference(modus_ponens,[status(thm)],[29752, 29751])).
% 42.89/28.48 tff(29754,plain,
% 42.89/28.48 ((~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 42.89/28.48 inference(unit_resolution,[status(thm)],[29753, 1159, 27955])).
% 42.89/28.48 tff(29755,plain,
% 42.89/28.48 (v129(constB170, bitIndex1)),
% 42.89/28.48 inference(unit_resolution,[status(thm)],[29754, 29750])).
% 42.89/28.48 tff(29756,plain,
% 42.89/28.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 42.89/28.48 inference(rewrite,[status(thm)],[])).
% 42.89/28.48 tff(29757,plain,
% 42.89/28.48 ((v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 42.89/28.48 inference(rewrite,[status(thm)],[])).
% 42.89/28.48 tff(29758,plain,
% 42.89/28.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))))),
% 42.89/28.48 inference(monotonicity,[status(thm)],[29757])).
% 42.89/28.48 tff(29759,plain,
% 42.89/28.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 42.89/28.48 inference(transitivity,[status(thm)],[29758, 29756])).
% 42.89/28.48 tff(29760,plain,
% 42.89/28.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))),
% 42.89/28.48 inference(quant_inst,[status(thm)],[])).
% 42.89/28.48 tff(29761,plain,
% 42.89/28.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))),
% 42.89/28.48 inference(modus_ponens,[status(thm)],[29760, 29759])).
% 42.89/28.48 tff(29762,plain,
% 42.89/28.48 (v90(constB170, bitIndex1) | (~v100(constB170))),
% 42.89/28.48 inference(unit_resolution,[status(thm)],[29761, 1174, 29755])).
% 42.89/28.48 tff(29763,plain,
% 42.89/28.48 (v90(constB170, bitIndex1)),
% 42.89/28.48 inference(unit_resolution,[status(thm)],[29762, 29446])).
% 42.89/28.48 tff(29764,plain,
% 42.89/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 42.89/28.48 inference(rewrite,[status(thm)],[])).
% 42.89/28.48 tff(29765,plain,
% 42.89/28.48 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 42.89/28.48 inference(rewrite,[status(thm)],[])).
% 42.89/28.48 tff(29766,plain,
% 42.89/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)))),
% 42.89/28.48 inference(monotonicity,[status(thm)],[29765])).
% 42.89/28.48 tff(29767,plain,
% 42.89/28.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 42.89/28.48 inference(transitivity,[status(thm)],[29766, 29764])).
% 42.89/28.48 tff(29768,plain,
% 42.89/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))),
% 42.89/28.48 inference(quant_inst,[status(thm)],[])).
% 42.89/28.48 tff(29769,plain,
% 42.89/28.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29768, 29767])).
% 42.89/28.49 tff(29770,plain,
% 42.89/28.49 ((~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29769, 1192, 28005])).
% 42.89/28.49 tff(29771,plain,
% 42.89/28.49 ((~v90(constB170, bitIndex1)) | v90(constB171, bitIndex1)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29770, 29685])).
% 42.89/28.49 tff(29772,plain,
% 42.89/28.49 (v90(constB171, bitIndex1)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29771, 29763])).
% 42.89/28.49 tff(29773,assumption,(~v122(constB171)), introduced(assumption)).
% 42.89/28.49 tff(29774,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29775,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29776,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29775, 29774])).
% 42.89/28.49 tff(29777,plain,
% 42.89/28.49 ((~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29776, 2129, 29773])).
% 42.89/28.49 tff(29778,plain,
% 42.89/28.49 ($false),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29777, 29772, 29741, 29694])).
% 42.89/28.49 tff(29779,plain,((~v120(constB167)) | v122(constB171) | v122(constB169) | v120(constB169)), inference(lemma,lemma(discharge,[]))).
% 42.89/28.49 tff(29780,plain,
% 42.89/28.49 (v122(constB171)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29779, 29332, 27695, 29328])).
% 42.89/28.49 tff(29781,assumption,(v122(constB171)), introduced(assumption)).
% 42.89/28.49 tff(29782,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB171)) | v116(constB171))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29783,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB171)) | v116(constB171))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29784,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB171)) | v116(constB171)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29783, 29782])).
% 42.89/28.49 tff(29785,plain,
% 42.89/28.49 (v116(constB171)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29784, 2140, 29781])).
% 42.89/28.49 tff(29786,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29787,plain,
% 42.89/28.49 (((~v116(constB171)) | v115(constB171)) <=> (v115(constB171) | (~v116(constB171)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29788,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171))))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29787])).
% 42.89/28.49 tff(29789,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29788, 29786])).
% 42.89/28.49 tff(29790,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29791,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29790, 29789])).
% 42.89/28.49 tff(29792,plain,
% 42.89/28.49 (v115(constB171)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29791, 539, 29785])).
% 42.89/28.49 tff(29793,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB171)) | v114(constB171))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29794,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29795,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB171)) | v114(constB171)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29794, 29793])).
% 42.89/28.49 tff(29796,plain,
% 42.89/28.49 (v114(constB171)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29795, 553, 29792])).
% 42.89/28.49 tff(29797,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29798,plain,
% 42.89/28.49 (((~v114(constB171)) | v113(constB171)) <=> (v113(constB171) | (~v114(constB171)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29799,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171))))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29798])).
% 42.89/28.49 tff(29800,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29799, 29797])).
% 42.89/28.49 tff(29801,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29802,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29801, 29800])).
% 42.89/28.49 tff(29803,plain,
% 42.89/28.49 (v113(constB171)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29802, 567, 29796])).
% 42.89/28.49 tff(29804,assumption,(v26(constB171)), introduced(assumption)).
% 42.89/28.49 tff(29805,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29806,plain,
% 42.89/28.49 ($false),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29805, 95, 29804])).
% 42.89/28.49 tff(29807,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 42.89/28.49 tff(29808,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29809,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29810,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | (~v113(constB171)) | v112(constB171)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29809, 29808])).
% 42.89/28.49 tff(29811,plain,
% 42.89/28.49 ((~v113(constB171)) | v112(constB171)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29810, 581, 29807])).
% 42.89/28.49 tff(29812,plain,
% 42.89/28.49 (v112(constB171)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29811, 29803])).
% 42.89/28.49 tff(29813,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29814,plain,
% 42.89/28.49 (((~v112(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v112(constB171)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29815,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171))))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29814])).
% 42.89/28.49 tff(29816,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29815, 29813])).
% 42.89/28.49 tff(29817,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29818,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29817, 29816])).
% 42.89/28.49 tff(29819,plain,
% 42.89/28.49 (v108(constB171)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29818, 746, 29812])).
% 42.89/28.49 tff(29820,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29821,plain,
% 42.89/28.49 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29822,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29821])).
% 42.89/28.49 tff(29823,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29822, 29820])).
% 42.89/28.49 tff(29824,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29825,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29824, 29823])).
% 42.89/28.49 tff(29826,plain,
% 42.89/28.49 (v110(constB172) | (~v108(constB171))),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29825, 731, 28061])).
% 42.89/28.49 tff(29827,plain,
% 42.89/28.49 (v110(constB172)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29826, 29819])).
% 42.89/28.49 tff(29828,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29829,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29830,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29829, 29828])).
% 42.89/28.49 tff(29831,plain,
% 42.89/28.49 (~v104(constB172)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29830, 659, 28061, 28002])).
% 42.89/28.49 tff(29832,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29833,plain,
% 42.89/28.49 (((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)) <=> ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29834,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172)))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29833])).
% 42.89/28.49 tff(29835,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29834, 29832])).
% 42.89/28.49 tff(29836,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29837,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29836, 29835])).
% 42.89/28.49 tff(29838,plain,
% 42.89/28.49 (v104(constB172) | v102(constB172)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29837, 673, 28061])).
% 42.89/28.49 tff(29839,plain,
% 42.89/28.49 (v102(constB172)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29838, 29831])).
% 42.89/28.49 tff(29840,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29841,plain,
% 42.89/28.49 (((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))) <=> ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29842,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172))))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29841])).
% 42.89/28.49 tff(29843,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29842, 29840])).
% 42.89/28.49 tff(29844,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29845,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29844, 29843])).
% 42.89/28.49 tff(29846,plain,
% 42.89/28.49 (v101(constB172) | (~v102(constB172))),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29845, 694, 28061, 28045])).
% 42.89/28.49 tff(29847,plain,
% 42.89/28.49 (v101(constB172)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29846, 29839])).
% 42.89/28.49 tff(29848,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29849,plain,
% 42.89/28.49 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29850,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29849])).
% 42.89/28.49 tff(29851,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29850, 29848])).
% 42.89/28.49 tff(29852,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29853,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29852, 29851])).
% 42.89/28.49 tff(29854,plain,
% 42.89/28.49 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29853, 712, 28061])).
% 42.89/28.49 tff(29855,plain,
% 42.89/28.49 (v100(constB172) | (~v110(constB172))),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29854, 29847])).
% 42.89/28.49 tff(29856,plain,
% 42.89/28.49 (v100(constB172)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29855, 29827])).
% 42.89/28.49 tff(29857,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB171)) | v130(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB171)) | v130(constB171, bitIndex2))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29858,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB171)) | v130(constB171, bitIndex2))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29859,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB171)) | v130(constB171, bitIndex2)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29858, 29857])).
% 42.89/28.49 tff(29860,plain,
% 42.89/28.49 (v130(constB171, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29859, 2224, 29781])).
% 42.89/28.49 tff(29861,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29862,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29863,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29862, 29861])).
% 42.89/28.49 tff(29864,plain,
% 42.89/28.49 ((~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29863, 607, 29807])).
% 42.89/28.49 tff(29865,plain,
% 42.89/28.49 (v127(constB171, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29864, 29860])).
% 42.89/28.49 tff(29866,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29867,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29868,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29867, 29866])).
% 42.89/28.49 tff(29869,plain,
% 42.89/28.49 ((~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29868, 625, 28061])).
% 42.89/28.49 tff(29870,plain,
% 42.89/28.49 (v129(constB172, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29869, 29865])).
% 42.89/28.49 tff(29871,plain,
% 42.89/28.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29872,plain,
% 42.89/28.49 ((v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2))) <=> (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29873,plain,
% 42.89/28.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172))))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29872])).
% 42.89/28.49 tff(29874,plain,
% 42.89/28.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29873, 29871])).
% 42.89/28.49 tff(29875,plain,
% 42.89/28.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29876,plain,
% 42.89/28.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29875, 29874])).
% 42.89/28.49 tff(29877,plain,
% 42.89/28.49 (v90(constB172, bitIndex2) | (~v100(constB172))),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29876, 641, 29870])).
% 42.89/28.49 tff(29878,plain,
% 42.89/28.49 (v90(constB172, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29877, 29856])).
% 42.89/28.49 tff(29879,plain,
% 42.89/28.49 ((~v1(constB173)) <=> (~v1(constB173))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29880,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 42.89/28.49 tff(29881,plain,
% 42.89/28.49 (~v1(constB173)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29880, 29879])).
% 42.89/28.49 tff(29882,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29883,plain,
% 42.89/28.49 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29884,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29883])).
% 42.89/28.49 tff(29885,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29884, 29882])).
% 42.89/28.49 tff(29886,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29887,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29886, 29885])).
% 42.89/28.49 tff(29888,plain,
% 42.89/28.49 (~v101(constB173)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29887, 391, 28116, 29881])).
% 42.89/28.49 tff(29889,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29890,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29891,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29890, 29889])).
% 42.89/28.49 tff(29892,plain,
% 42.89/28.49 (v101(constB173) | (~v100(constB173))),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29891, 408, 28116])).
% 42.89/28.49 tff(29893,plain,
% 42.89/28.49 (~v100(constB173)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29892, 29888])).
% 42.89/28.49 tff(29894,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29895,plain,
% 42.89/28.49 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2)) <=> ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29896,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2)))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29895])).
% 42.89/28.49 tff(29897,plain,
% 42.89/28.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29896, 29894])).
% 42.89/28.49 tff(29898,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29899,plain,
% 42.89/28.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2)),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29898, 29897])).
% 42.89/28.49 tff(29900,plain,
% 42.89/28.49 ((~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29899, 783, 28116])).
% 42.89/28.49 tff(29901,plain,
% 42.89/28.49 ((~v90(constB172, bitIndex2)) | v90(constB173, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29900, 29893])).
% 42.89/28.49 tff(29902,plain,
% 42.89/28.49 (v90(constB173, bitIndex2)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29901, 29878])).
% 42.89/28.49 tff(29903,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB171)) | (~v130(constB171, bitIndex0)))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29904,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex0)))),
% 42.89/28.49 inference(quant_inst,[status(thm)],[])).
% 42.89/28.49 tff(29905,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB171)) | (~v130(constB171, bitIndex0))),
% 42.89/28.49 inference(modus_ponens,[status(thm)],[29904, 29903])).
% 42.89/28.49 tff(29906,plain,
% 42.89/28.49 (~v130(constB171, bitIndex0)),
% 42.89/28.49 inference(unit_resolution,[status(thm)],[29905, 2327, 29781])).
% 42.89/28.49 tff(29907,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29908,plain,
% 42.89/28.49 ((v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0))) <=> ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 42.89/28.49 inference(rewrite,[status(thm)],[])).
% 42.89/28.49 tff(29909,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)))),
% 42.89/28.49 inference(monotonicity,[status(thm)],[29908])).
% 42.89/28.49 tff(29910,plain,
% 42.89/28.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 42.89/28.49 inference(transitivity,[status(thm)],[29909, 29907])).
% 42.89/28.49 tff(29911,plain,
% 42.89/28.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))),
% 42.89/28.50 inference(quant_inst,[status(thm)],[])).
% 42.89/28.50 tff(29912,plain,
% 42.89/28.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)),
% 42.89/28.50 inference(modus_ponens,[status(thm)],[29911, 29910])).
% 42.89/28.50 tff(29913,plain,
% 42.89/28.50 ((~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29912, 907, 29807])).
% 42.89/28.50 tff(29914,plain,
% 42.89/28.50 (~v127(constB171, bitIndex0)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29913, 29906])).
% 42.89/28.50 tff(29915,plain,
% 42.89/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29916,plain,
% 42.89/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 42.89/28.50 inference(quant_inst,[status(thm)],[])).
% 42.89/28.50 tff(29917,plain,
% 42.89/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 42.89/28.50 inference(modus_ponens,[status(thm)],[29916, 29915])).
% 42.89/28.50 tff(29918,plain,
% 42.89/28.50 (v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29917, 937, 28061])).
% 42.89/28.50 tff(29919,plain,
% 42.89/28.50 (~v129(constB172, bitIndex0)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29918, 29914])).
% 42.89/28.50 tff(29920,plain,
% 42.89/28.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29921,plain,
% 42.89/28.50 (((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29922,plain,
% 42.89/28.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))))),
% 42.89/28.50 inference(monotonicity,[status(thm)],[29921])).
% 42.89/28.50 tff(29923,plain,
% 42.89/28.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 42.89/28.50 inference(transitivity,[status(thm)],[29922, 29920])).
% 42.89/28.50 tff(29924,plain,
% 42.89/28.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))),
% 42.89/28.50 inference(quant_inst,[status(thm)],[])).
% 42.89/28.50 tff(29925,plain,
% 42.89/28.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))),
% 42.89/28.50 inference(modus_ponens,[status(thm)],[29924, 29923])).
% 42.89/28.50 tff(29926,plain,
% 42.89/28.50 ((~v90(constB172, bitIndex0)) | (~v100(constB172))),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29925, 952, 29919])).
% 42.89/28.50 tff(29927,plain,
% 42.89/28.50 (~v90(constB172, bitIndex0)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29926, 29856])).
% 42.89/28.50 tff(29928,plain,
% 42.89/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29929,plain,
% 42.89/28.50 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29930,plain,
% 42.89/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))))),
% 42.89/28.50 inference(monotonicity,[status(thm)],[29929])).
% 42.89/28.50 tff(29931,plain,
% 42.89/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 42.89/28.50 inference(transitivity,[status(thm)],[29930, 29928])).
% 42.89/28.50 tff(29932,plain,
% 42.89/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 42.89/28.50 inference(quant_inst,[status(thm)],[])).
% 42.89/28.50 tff(29933,plain,
% 42.89/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 42.89/28.50 inference(modus_ponens,[status(thm)],[29932, 29931])).
% 42.89/28.50 tff(29934,plain,
% 42.89/28.50 (v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29933, 465, 28116])).
% 42.89/28.50 tff(29935,plain,
% 42.89/28.50 (v90(constB172, bitIndex0) | (~v90(constB173, bitIndex0))),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29934, 29893])).
% 42.89/28.50 tff(29936,plain,
% 42.89/28.50 (~v90(constB173, bitIndex0)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29935, 29927])).
% 42.89/28.50 tff(29937,plain,
% 42.89/28.50 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB171)) | (~v130(constB171, bitIndex1)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29938,plain,
% 42.89/28.50 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex1)))),
% 42.89/28.50 inference(quant_inst,[status(thm)],[])).
% 42.89/28.50 tff(29939,plain,
% 42.89/28.50 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB171)) | (~v130(constB171, bitIndex1))),
% 42.89/28.50 inference(modus_ponens,[status(thm)],[29938, 29937])).
% 42.89/28.50 tff(29940,plain,
% 42.89/28.50 (~v130(constB171, bitIndex1)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29939, 2281, 29781])).
% 42.89/28.50 tff(29941,plain,
% 42.89/28.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29942,plain,
% 42.89/28.50 ((v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1))) <=> ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29943,plain,
% 42.89/28.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1)))),
% 42.89/28.50 inference(monotonicity,[status(thm)],[29942])).
% 42.89/28.50 tff(29944,plain,
% 42.89/28.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 42.89/28.50 inference(transitivity,[status(thm)],[29943, 29941])).
% 42.89/28.50 tff(29945,plain,
% 42.89/28.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))),
% 42.89/28.50 inference(quant_inst,[status(thm)],[])).
% 42.89/28.50 tff(29946,plain,
% 42.89/28.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1)),
% 42.89/28.50 inference(modus_ponens,[status(thm)],[29945, 29944])).
% 42.89/28.50 tff(29947,plain,
% 42.89/28.50 ((~v127(constB171, bitIndex1)) | v130(constB171, bitIndex1)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29946, 823, 29807])).
% 42.89/28.50 tff(29948,plain,
% 42.89/28.50 (~v127(constB171, bitIndex1)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29947, 29940])).
% 42.89/28.50 tff(29949,plain,
% 42.89/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29950,plain,
% 42.89/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))),
% 42.89/28.50 inference(quant_inst,[status(thm)],[])).
% 42.89/28.50 tff(29951,plain,
% 42.89/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1))),
% 42.89/28.50 inference(modus_ponens,[status(thm)],[29950, 29949])).
% 42.89/28.50 tff(29952,plain,
% 42.89/28.50 (v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1))),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29951, 853, 28061])).
% 42.89/28.50 tff(29953,plain,
% 42.89/28.50 (~v129(constB172, bitIndex1)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29952, 29948])).
% 42.89/28.50 tff(29954,plain,
% 42.89/28.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29955,plain,
% 42.89/28.50 (((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1)) <=> ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29956,plain,
% 42.89/28.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172))))),
% 42.89/28.50 inference(monotonicity,[status(thm)],[29955])).
% 42.89/28.50 tff(29957,plain,
% 42.89/28.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 42.89/28.50 inference(transitivity,[status(thm)],[29956, 29954])).
% 42.89/28.50 tff(29958,plain,
% 42.89/28.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))),
% 42.89/28.50 inference(quant_inst,[status(thm)],[])).
% 42.89/28.50 tff(29959,plain,
% 42.89/28.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172))),
% 42.89/28.50 inference(modus_ponens,[status(thm)],[29958, 29957])).
% 42.89/28.50 tff(29960,plain,
% 42.89/28.50 ((~v90(constB172, bitIndex1)) | (~v100(constB172))),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29959, 868, 29953])).
% 42.89/28.50 tff(29961,plain,
% 42.89/28.50 (~v90(constB172, bitIndex1)),
% 42.89/28.50 inference(unit_resolution,[status(thm)],[29960, 29856])).
% 42.89/28.50 tff(29962,plain,
% 42.89/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29963,plain,
% 42.89/28.50 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1))) <=> (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 42.89/28.50 inference(rewrite,[status(thm)],[])).
% 42.89/28.50 tff(29964,plain,
% 42.89/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1))))),
% 42.89/28.50 inference(monotonicity,[status(thm)],[29963])).
% 42.89/28.50 tff(29965,plain,
% 42.89/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 42.91/28.50 inference(transitivity,[status(thm)],[29964, 29962])).
% 42.91/28.50 tff(29966,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(29967,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1))),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[29966, 29965])).
% 42.91/28.50 tff(29968,plain,
% 42.91/28.50 (v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1))),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29967, 444, 28116])).
% 42.91/28.50 tff(29969,plain,
% 42.91/28.50 (v90(constB172, bitIndex1) | (~v90(constB173, bitIndex1))),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29968, 29893])).
% 42.91/28.50 tff(29970,plain,
% 42.91/28.50 (~v90(constB173, bitIndex1)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29969, 29961])).
% 42.91/28.50 tff(29971,assumption,(~v123(constB173)), introduced(assumption)).
% 42.91/28.50 tff(29972,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(29973,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(29974,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173)),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[29973, 29972])).
% 42.91/28.50 tff(29975,plain,
% 42.91/28.50 (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2))),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29974, 979, 29971])).
% 42.91/28.50 tff(29976,plain,
% 42.91/28.50 ($false),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29975, 29970, 29936, 29902])).
% 42.91/28.50 tff(29977,plain,((~v122(constB171)) | v123(constB173)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.50 tff(29978,plain,
% 42.91/28.50 (v123(constB173)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29977, 29780])).
% 42.91/28.50 tff(29979,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB173)) | v115(constB173))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(29980,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB173)) | v115(constB173))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(29981,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB173)) | v115(constB173)),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[29980, 29979])).
% 42.91/28.50 tff(29982,plain,
% 42.91/28.50 (v115(constB173)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29981, 990, 29978])).
% 42.91/28.50 tff(29983,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(29984,plain,
% 42.91/28.50 (((~v115(constB173)) | v114(constB173)) <=> (v114(constB173) | (~v115(constB173)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(29985,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173))))),
% 42.91/28.50 inference(monotonicity,[status(thm)],[29984])).
% 42.91/28.50 tff(29986,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 42.91/28.50 inference(transitivity,[status(thm)],[29985, 29983])).
% 42.91/28.50 tff(29987,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(29988,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173))),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[29987, 29986])).
% 42.91/28.50 tff(29989,plain,
% 42.91/28.50 (v114(constB173)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29988, 553, 29982])).
% 42.91/28.50 tff(29990,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(29991,plain,
% 42.91/28.50 (((~v114(constB173)) | v113(constB173)) <=> (v113(constB173) | (~v114(constB173)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(29992,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173))))),
% 42.91/28.50 inference(monotonicity,[status(thm)],[29991])).
% 42.91/28.50 tff(29993,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 42.91/28.50 inference(transitivity,[status(thm)],[29992, 29990])).
% 42.91/28.50 tff(29994,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(29995,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173))),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[29994, 29993])).
% 42.91/28.50 tff(29996,plain,
% 42.91/28.50 (v113(constB173)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29995, 567, 29989])).
% 42.91/28.50 tff(29997,assumption,(v26(constB173)), introduced(assumption)).
% 42.91/28.50 tff(29998,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(29999,plain,
% 42.91/28.50 ($false),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[29998, 95, 29997])).
% 42.91/28.50 tff(30000,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.50 tff(30001,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30002,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(30003,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[30002, 30001])).
% 42.91/28.50 tff(30004,plain,
% 42.91/28.50 ((~v113(constB173)) | v112(constB173)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30003, 581, 30000])).
% 42.91/28.50 tff(30005,plain,
% 42.91/28.50 (v112(constB173)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30004, 29996])).
% 42.91/28.50 tff(30006,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30007,plain,
% 42.91/28.50 (((~v112(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v112(constB173)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30008,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173))))),
% 42.91/28.50 inference(monotonicity,[status(thm)],[30007])).
% 42.91/28.50 tff(30009,plain,
% 42.91/28.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 42.91/28.50 inference(transitivity,[status(thm)],[30008, 30006])).
% 42.91/28.50 tff(30010,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(30011,plain,
% 42.91/28.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173))),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[30010, 30009])).
% 42.91/28.50 tff(30012,plain,
% 42.91/28.50 (v108(constB173)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30011, 746, 30005])).
% 42.91/28.50 tff(30013,plain,
% 42.91/28.50 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30014,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 42.91/28.50 tff(30015,plain,
% 42.91/28.50 (nextState(constB173, constB174)),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[30014, 30013])).
% 42.91/28.50 tff(30016,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30017,plain,
% 42.91/28.50 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30018,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 42.91/28.50 inference(monotonicity,[status(thm)],[30017])).
% 42.91/28.50 tff(30019,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 42.91/28.50 inference(transitivity,[status(thm)],[30018, 30016])).
% 42.91/28.50 tff(30020,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(30021,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[30020, 30019])).
% 42.91/28.50 tff(30022,plain,
% 42.91/28.50 (v110(constB174) | (~v108(constB173))),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30021, 731, 30015])).
% 42.91/28.50 tff(30023,plain,
% 42.91/28.50 (v110(constB174)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30022, 30012])).
% 42.91/28.50 tff(30024,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30025,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(30026,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[30025, 30024])).
% 42.91/28.50 tff(30027,plain,
% 42.91/28.50 (~v104(constB174)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30026, 659, 30015, 29881])).
% 42.91/28.50 tff(30028,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30029,plain,
% 42.91/28.50 (((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)) <=> ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30030,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174)))),
% 42.91/28.50 inference(monotonicity,[status(thm)],[30029])).
% 42.91/28.50 tff(30031,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 42.91/28.50 inference(transitivity,[status(thm)],[30030, 30028])).
% 42.91/28.50 tff(30032,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(30033,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174)),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[30032, 30031])).
% 42.91/28.50 tff(30034,plain,
% 42.91/28.50 (v104(constB174) | v102(constB174)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30033, 673, 30015])).
% 42.91/28.50 tff(30035,plain,
% 42.91/28.50 (v102(constB174)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30034, 30027])).
% 42.91/28.50 tff(30036,plain,
% 42.91/28.50 (v1(constB174) <=> v1(constB174)),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30037,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 42.91/28.50 tff(30038,plain,
% 42.91/28.50 (v1(constB174)),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[30037, 30036])).
% 42.91/28.50 tff(30039,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30040,plain,
% 42.91/28.50 (((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))) <=> ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30041,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174))))),
% 42.91/28.50 inference(monotonicity,[status(thm)],[30040])).
% 42.91/28.50 tff(30042,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 42.91/28.50 inference(transitivity,[status(thm)],[30041, 30039])).
% 42.91/28.50 tff(30043,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 42.91/28.50 inference(quant_inst,[status(thm)],[])).
% 42.91/28.50 tff(30044,plain,
% 42.91/28.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174))),
% 42.91/28.50 inference(modus_ponens,[status(thm)],[30043, 30042])).
% 42.91/28.50 tff(30045,plain,
% 42.91/28.50 (v101(constB174) | (~v102(constB174))),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30044, 694, 30015, 30038])).
% 42.91/28.50 tff(30046,plain,
% 42.91/28.50 (v101(constB174)),
% 42.91/28.50 inference(unit_resolution,[status(thm)],[30045, 30035])).
% 42.91/28.50 tff(30047,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30048,plain,
% 42.91/28.50 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 42.91/28.50 inference(rewrite,[status(thm)],[])).
% 42.91/28.50 tff(30049,plain,
% 42.91/28.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 42.91/28.50 inference(monotonicity,[status(thm)],[30048])).
% 42.91/28.51 tff(30050,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 42.91/28.51 inference(transitivity,[status(thm)],[30049, 30047])).
% 42.91/28.51 tff(30051,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30052,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30051, 30050])).
% 42.91/28.51 tff(30053,plain,
% 42.91/28.51 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30052, 712, 30015])).
% 42.91/28.51 tff(30054,plain,
% 42.91/28.51 (v100(constB174) | (~v110(constB174))),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30053, 30046])).
% 42.91/28.51 tff(30055,plain,
% 42.91/28.51 (v100(constB174)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30054, 30023])).
% 42.91/28.51 tff(30056,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB173)) | v130(constB173, bitIndex1))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30057,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB173)) | v130(constB173, bitIndex1))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30058,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB173)) | v130(constB173, bitIndex1)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30057, 30056])).
% 42.91/28.51 tff(30059,plain,
% 42.91/28.51 (v130(constB173, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30058, 1130, 29978])).
% 42.91/28.51 tff(30060,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30061,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30062,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30061, 30060])).
% 42.91/28.51 tff(30063,plain,
% 42.91/28.51 ((~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30062, 1144, 30000])).
% 42.91/28.51 tff(30064,plain,
% 42.91/28.51 (v127(constB173, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30063, 30059])).
% 42.91/28.51 tff(30065,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30066,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30067,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30066, 30065])).
% 42.91/28.51 tff(30068,plain,
% 42.91/28.51 ((~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30067, 1159, 30015])).
% 42.91/28.51 tff(30069,plain,
% 42.91/28.51 (v129(constB174, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30068, 30064])).
% 42.91/28.51 tff(30070,plain,
% 42.91/28.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30071,plain,
% 42.91/28.51 ((v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1))) <=> (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30072,plain,
% 42.91/28.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))))),
% 42.91/28.51 inference(monotonicity,[status(thm)],[30071])).
% 42.91/28.51 tff(30073,plain,
% 42.91/28.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 42.91/28.51 inference(transitivity,[status(thm)],[30072, 30070])).
% 42.91/28.51 tff(30074,plain,
% 42.91/28.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30075,plain,
% 42.91/28.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30074, 30073])).
% 42.91/28.51 tff(30076,plain,
% 42.91/28.51 (v90(constB174, bitIndex1) | (~v100(constB174))),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30075, 1174, 30069])).
% 42.91/28.51 tff(30077,plain,
% 42.91/28.51 (v90(constB174, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30076, 30055])).
% 42.91/28.51 tff(30078,plain,
% 42.91/28.51 ((~v1(constB175)) <=> (~v1(constB175))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30079,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 42.91/28.51 tff(30080,plain,
% 42.91/28.51 (~v1(constB175)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30079, 30078])).
% 42.91/28.51 tff(30081,plain,
% 42.91/28.51 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30082,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 42.91/28.51 tff(30083,plain,
% 42.91/28.51 (nextState(constB174, constB175)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30082, 30081])).
% 42.91/28.51 tff(30084,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30085,plain,
% 42.91/28.51 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30086,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 42.91/28.51 inference(monotonicity,[status(thm)],[30085])).
% 42.91/28.51 tff(30087,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 42.91/28.51 inference(transitivity,[status(thm)],[30086, 30084])).
% 42.91/28.51 tff(30088,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30089,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30088, 30087])).
% 42.91/28.51 tff(30090,plain,
% 42.91/28.51 (~v101(constB175)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30089, 391, 30083, 30080])).
% 42.91/28.51 tff(30091,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30092,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30093,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30092, 30091])).
% 42.91/28.51 tff(30094,plain,
% 42.91/28.51 (v101(constB175) | (~v100(constB175))),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30093, 408, 30083])).
% 42.91/28.51 tff(30095,plain,
% 42.91/28.51 (~v100(constB175)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30094, 30090])).
% 42.91/28.51 tff(30096,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30097,plain,
% 42.91/28.51 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)) <=> ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30098,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)))),
% 42.91/28.51 inference(monotonicity,[status(thm)],[30097])).
% 42.91/28.51 tff(30099,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 42.91/28.51 inference(transitivity,[status(thm)],[30098, 30096])).
% 42.91/28.51 tff(30100,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30101,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30100, 30099])).
% 42.91/28.51 tff(30102,plain,
% 42.91/28.51 ((~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30101, 1192, 30083])).
% 42.91/28.51 tff(30103,plain,
% 42.91/28.51 ((~v90(constB174, bitIndex1)) | v90(constB175, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30102, 30095])).
% 42.91/28.51 tff(30104,plain,
% 42.91/28.51 (v90(constB175, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30103, 30077])).
% 42.91/28.51 tff(30105,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB175)) | (~v90(constB175, bitIndex1)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30106,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB175)) | (~v90(constB175, bitIndex1)))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30107,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB175)) | (~v90(constB175, bitIndex1))),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30106, 30105])).
% 42.91/28.51 tff(30108,plain,
% 42.91/28.51 (~v123(constB175)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30107, 1358, 30104])).
% 42.91/28.51 tff(30109,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB175)) | (~v90(constB175, bitIndex1)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30110,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB175)) | (~v90(constB175, bitIndex1)))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30111,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB175)) | (~v90(constB175, bitIndex1))),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30110, 30109])).
% 42.91/28.51 tff(30112,plain,
% 42.91/28.51 (~v120(constB175)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30111, 1391, 30104])).
% 42.91/28.51 tff(30113,assumption,(v123(constB173)), introduced(assumption)).
% 42.91/28.51 tff(30114,plain,
% 42.91/28.51 (v115(constB173)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[29981, 990, 30113])).
% 42.91/28.51 tff(30115,plain,
% 42.91/28.51 (v114(constB173)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[29988, 553, 30114])).
% 42.91/28.51 tff(30116,plain,
% 42.91/28.51 (v113(constB173)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[29995, 567, 30115])).
% 42.91/28.51 tff(30117,plain,
% 42.91/28.51 (v112(constB173)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30004, 30116])).
% 42.91/28.51 tff(30118,plain,
% 42.91/28.51 (v108(constB173)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30011, 746, 30117])).
% 42.91/28.51 tff(30119,plain,
% 42.91/28.51 (v110(constB174)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30022, 30118])).
% 42.91/28.51 tff(30120,plain,
% 42.91/28.51 (v100(constB174)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30054, 30119])).
% 42.91/28.51 tff(30121,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB173)) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB173)) | v130(constB173, bitIndex2))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30122,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB173)) | v130(constB173, bitIndex2))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30123,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB173)) | v130(constB173, bitIndex2)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30122, 30121])).
% 42.91/28.51 tff(30124,plain,
% 42.91/28.51 (v130(constB173, bitIndex2)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30123, 1074, 30113])).
% 42.91/28.51 tff(30125,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30126,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30127,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30126, 30125])).
% 42.91/28.51 tff(30128,plain,
% 42.91/28.51 ((~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30127, 607, 30000])).
% 42.91/28.51 tff(30129,plain,
% 42.91/28.51 (v127(constB173, bitIndex2)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30128, 30124])).
% 42.91/28.51 tff(30130,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30131,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30132,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30131, 30130])).
% 42.91/28.51 tff(30133,plain,
% 42.91/28.51 ((~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30132, 625, 30015])).
% 42.91/28.51 tff(30134,plain,
% 42.91/28.51 (v129(constB174, bitIndex2)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30133, 30129])).
% 42.91/28.51 tff(30135,plain,
% 42.91/28.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30136,plain,
% 42.91/28.51 ((v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2))) <=> (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30137,plain,
% 42.91/28.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174))))),
% 42.91/28.51 inference(monotonicity,[status(thm)],[30136])).
% 42.91/28.51 tff(30138,plain,
% 42.91/28.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 42.91/28.51 inference(transitivity,[status(thm)],[30137, 30135])).
% 42.91/28.51 tff(30139,plain,
% 42.91/28.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30140,plain,
% 42.91/28.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174))),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30139, 30138])).
% 42.91/28.51 tff(30141,plain,
% 42.91/28.51 (v90(constB174, bitIndex2) | (~v100(constB174))),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30140, 641, 30134])).
% 42.91/28.51 tff(30142,plain,
% 42.91/28.51 (v90(constB174, bitIndex2)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30141, 30120])).
% 42.91/28.51 tff(30143,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30144,plain,
% 42.91/28.51 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2)) <=> ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30145,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2)))),
% 42.91/28.51 inference(monotonicity,[status(thm)],[30144])).
% 42.91/28.51 tff(30146,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 42.91/28.51 inference(transitivity,[status(thm)],[30145, 30143])).
% 42.91/28.51 tff(30147,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30148,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30147, 30146])).
% 42.91/28.51 tff(30149,plain,
% 42.91/28.51 ((~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30148, 783, 30083])).
% 42.91/28.51 tff(30150,plain,
% 42.91/28.51 ((~v90(constB174, bitIndex2)) | v90(constB175, bitIndex2)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30149, 30095])).
% 42.91/28.51 tff(30151,plain,
% 42.91/28.51 (v90(constB175, bitIndex2)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30150, 30142])).
% 42.91/28.51 tff(30152,plain,
% 42.91/28.51 (v130(constB173, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30058, 1130, 30113])).
% 42.91/28.51 tff(30153,plain,
% 42.91/28.51 (v127(constB173, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30063, 30152])).
% 42.91/28.51 tff(30154,plain,
% 42.91/28.51 (v129(constB174, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30068, 30153])).
% 42.91/28.51 tff(30155,plain,
% 42.91/28.51 (v90(constB174, bitIndex1) | (~v100(constB174))),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30075, 1174, 30154])).
% 42.91/28.51 tff(30156,plain,
% 42.91/28.51 (v90(constB174, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30155, 30120])).
% 42.91/28.51 tff(30157,plain,
% 42.91/28.51 (v90(constB175, bitIndex1)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30103, 30156])).
% 42.91/28.51 tff(30158,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB173)) | (~v130(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB173)) | (~v130(constB173, bitIndex0)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30159,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB173)) | (~v130(constB173, bitIndex0)))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30160,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB173)) | (~v130(constB173, bitIndex0))),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30159, 30158])).
% 42.91/28.51 tff(30161,plain,
% 42.91/28.51 (~v130(constB173, bitIndex0)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30160, 1208, 30113])).
% 42.91/28.51 tff(30162,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30163,plain,
% 42.91/28.51 ((v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0))) <=> ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30164,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0)))),
% 42.91/28.51 inference(monotonicity,[status(thm)],[30163])).
% 42.91/28.51 tff(30165,plain,
% 42.91/28.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 42.91/28.51 inference(transitivity,[status(thm)],[30164, 30162])).
% 42.91/28.51 tff(30166,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30167,plain,
% 42.91/28.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0)),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30166, 30165])).
% 42.91/28.51 tff(30168,plain,
% 42.91/28.51 ((~v127(constB173, bitIndex0)) | v130(constB173, bitIndex0)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30167, 907, 30000])).
% 42.91/28.51 tff(30169,plain,
% 42.91/28.51 (~v127(constB173, bitIndex0)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30168, 30161])).
% 42.91/28.51 tff(30170,plain,
% 42.91/28.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30171,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30172,plain,
% 42.91/28.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0))),
% 42.91/28.51 inference(modus_ponens,[status(thm)],[30171, 30170])).
% 42.91/28.51 tff(30173,plain,
% 42.91/28.51 (v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0))),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30172, 937, 30015])).
% 42.91/28.51 tff(30174,plain,
% 42.91/28.51 (~v129(constB174, bitIndex0)),
% 42.91/28.51 inference(unit_resolution,[status(thm)],[30173, 30169])).
% 42.91/28.51 tff(30175,plain,
% 42.91/28.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30176,plain,
% 42.91/28.51 (((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 42.91/28.51 inference(rewrite,[status(thm)],[])).
% 42.91/28.51 tff(30177,plain,
% 42.91/28.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174))))),
% 42.91/28.51 inference(monotonicity,[status(thm)],[30176])).
% 42.91/28.51 tff(30178,plain,
% 42.91/28.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 42.91/28.51 inference(transitivity,[status(thm)],[30177, 30175])).
% 42.91/28.51 tff(30179,plain,
% 42.91/28.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))),
% 42.91/28.51 inference(quant_inst,[status(thm)],[])).
% 42.91/28.51 tff(30180,plain,
% 42.91/28.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30179, 30178])).
% 42.91/28.52 tff(30181,plain,
% 42.91/28.52 ((~v90(constB174, bitIndex0)) | (~v100(constB174))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30180, 952, 30174])).
% 42.91/28.52 tff(30182,plain,
% 42.91/28.52 (~v90(constB174, bitIndex0)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30181, 30120])).
% 42.91/28.52 tff(30183,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30184,plain,
% 42.91/28.52 (((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30185,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0))))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30184])).
% 42.91/28.52 tff(30186,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30185, 30183])).
% 42.91/28.52 tff(30187,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30188,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30187, 30186])).
% 42.91/28.52 tff(30189,plain,
% 42.91/28.52 (v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30188, 465, 30083])).
% 42.91/28.52 tff(30190,plain,
% 42.91/28.52 (v90(constB174, bitIndex0) | (~v90(constB175, bitIndex0))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30189, 30095])).
% 42.91/28.52 tff(30191,plain,
% 42.91/28.52 (~v90(constB175, bitIndex0)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30190, 30182])).
% 42.91/28.52 tff(30192,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30193,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30194,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175)),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30193, 30192])).
% 42.91/28.52 tff(30195,plain,
% 42.91/28.52 (v125(constB175)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30194, 1252, 30191, 30157, 30151])).
% 42.91/28.52 tff(30196,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v125(constB175)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v125(constB175)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30197,plain,
% 42.91/28.52 (((~v125(constB175)) | v113(constB175)) <=> (v113(constB175) | (~v125(constB175)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30198,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v125(constB175))))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30197])).
% 42.91/28.52 tff(30199,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v125(constB175)))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30198, 30196])).
% 42.91/28.52 tff(30200,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB175)) | v113(constB175))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30201,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v125(constB175))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30200, 30199])).
% 42.91/28.52 tff(30202,plain,
% 42.91/28.52 (v113(constB175)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30201, 1263, 30195])).
% 42.91/28.52 tff(30203,assumption,(v26(constB175)), introduced(assumption)).
% 42.91/28.52 tff(30204,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30205,plain,
% 42.91/28.52 ($false),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30204, 95, 30203])).
% 42.91/28.52 tff(30206,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.52 tff(30207,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30208,plain,
% 42.91/28.52 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30209,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175))))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30208])).
% 42.91/28.52 tff(30210,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30209, 30207])).
% 42.91/28.52 tff(30211,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30212,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30211, 30210])).
% 42.91/28.52 tff(30213,plain,
% 42.91/28.52 (v112(constB175) | (~v113(constB175))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30212, 581, 30206])).
% 42.91/28.52 tff(30214,plain,
% 42.91/28.52 (v112(constB175)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30213, 30202])).
% 42.91/28.52 tff(30215,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30216,plain,
% 42.91/28.52 (((~v112(constB175)) | v108(constB175)) <=> (v108(constB175) | (~v112(constB175)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30217,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175))))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30216])).
% 42.91/28.52 tff(30218,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30217, 30215])).
% 42.91/28.52 tff(30219,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30220,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30219, 30218])).
% 42.91/28.52 tff(30221,plain,
% 42.91/28.52 (v108(constB175)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30220, 746, 30214])).
% 42.91/28.52 tff(30222,plain,
% 42.91/28.52 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30223,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 42.91/28.52 tff(30224,plain,
% 42.91/28.52 (nextState(constB175, constB176)),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30223, 30222])).
% 42.91/28.52 tff(30225,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30226,plain,
% 42.91/28.52 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30227,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30226])).
% 42.91/28.52 tff(30228,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30227, 30225])).
% 42.91/28.52 tff(30229,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30230,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30229, 30228])).
% 42.91/28.52 tff(30231,plain,
% 42.91/28.52 (v110(constB176) | (~v108(constB175))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30230, 731, 30224])).
% 42.91/28.52 tff(30232,plain,
% 42.91/28.52 (v110(constB176)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30231, 30221])).
% 42.91/28.52 tff(30233,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30234,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30235,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30234, 30233])).
% 42.91/28.52 tff(30236,plain,
% 42.91/28.52 (~v104(constB176)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30235, 659, 30224, 30080])).
% 42.91/28.52 tff(30237,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30238,plain,
% 42.91/28.52 (((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)) <=> ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30239,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176)))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30238])).
% 42.91/28.52 tff(30240,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30239, 30237])).
% 42.91/28.52 tff(30241,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30242,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176)),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30241, 30240])).
% 42.91/28.52 tff(30243,plain,
% 42.91/28.52 (v104(constB176) | v102(constB176)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30242, 673, 30224])).
% 42.91/28.52 tff(30244,plain,
% 42.91/28.52 (v102(constB176)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30243, 30236])).
% 42.91/28.52 tff(30245,plain,
% 42.91/28.52 (v1(constB176) <=> v1(constB176)),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30246,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 42.91/28.52 tff(30247,plain,
% 42.91/28.52 (v1(constB176)),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30246, 30245])).
% 42.91/28.52 tff(30248,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30249,plain,
% 42.91/28.52 (((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))) <=> ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30250,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176))))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30249])).
% 42.91/28.52 tff(30251,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30250, 30248])).
% 42.91/28.52 tff(30252,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30253,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30252, 30251])).
% 42.91/28.52 tff(30254,plain,
% 42.91/28.52 (v101(constB176) | (~v102(constB176))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30253, 694, 30224, 30247])).
% 42.91/28.52 tff(30255,plain,
% 42.91/28.52 (v101(constB176)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30254, 30244])).
% 42.91/28.52 tff(30256,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30257,plain,
% 42.91/28.52 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30258,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30257])).
% 42.91/28.52 tff(30259,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30258, 30256])).
% 42.91/28.52 tff(30260,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30261,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30260, 30259])).
% 42.91/28.52 tff(30262,plain,
% 42.91/28.52 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30261, 712, 30224])).
% 42.91/28.52 tff(30263,plain,
% 42.91/28.52 (v100(constB176) | (~v110(constB176))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30262, 30255])).
% 42.91/28.52 tff(30264,plain,
% 42.91/28.52 (v100(constB176)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30263, 30232])).
% 42.91/28.52 tff(30265,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB175)) | (~v90(constB175, bitIndex1)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30266,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB175)) | (~v90(constB175, bitIndex1)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30267,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB175)) | (~v90(constB175, bitIndex1))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30266, 30265])).
% 42.91/28.52 tff(30268,plain,
% 42.91/28.52 (~v124(constB175)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30267, 1369, 30157])).
% 42.91/28.52 tff(30269,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB175)) | (~v90(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB175)) | (~v90(constB175, bitIndex2)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30270,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB175)) | (~v90(constB175, bitIndex2)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30271,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB175)) | (~v90(constB175, bitIndex2))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30270, 30269])).
% 42.91/28.52 tff(30272,plain,
% 42.91/28.52 (~v122(constB175)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30271, 1347, 30151])).
% 42.91/28.52 tff(30273,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB175)) | (~v90(constB175, bitIndex1)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30274,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex1)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30275,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB175)) | (~v90(constB175, bitIndex1))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30274, 30273])).
% 42.91/28.52 tff(30276,plain,
% 42.91/28.52 (~v119(constB175)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30275, 1380, 30157])).
% 42.91/28.52 tff(30277,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB175)) | (~v90(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB175)) | (~v90(constB175, bitIndex2)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30278,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB175)) | (~v90(constB175, bitIndex2)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30279,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB175)) | (~v90(constB175, bitIndex2))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30278, 30277])).
% 42.91/28.52 tff(30280,plain,
% 42.91/28.52 (~v121(constB175)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30279, 1336, 30151])).
% 42.91/28.52 tff(30281,assumption,(~v123(constB175)), introduced(assumption)).
% 42.91/28.52 tff(30282,assumption,(~v120(constB175)), introduced(assumption)).
% 42.91/28.52 tff(30283,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30284,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30285,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30284, 30283])).
% 42.91/28.52 tff(30286,plain,
% 42.91/28.52 (v119(constB175) | v121(constB175) | v122(constB175) | v124(constB175) | (~v130(constB175, bitIndex2))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30285, 1405, 30282, 30281])).
% 42.91/28.52 tff(30287,plain,
% 42.91/28.52 (~v130(constB175, bitIndex2)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30286, 30280, 30276, 30272, 30268])).
% 42.91/28.52 tff(30288,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30289,plain,
% 42.91/28.52 ((v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2))) <=> ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30290,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2)))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30289])).
% 42.91/28.52 tff(30291,plain,
% 42.91/28.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30290, 30288])).
% 42.91/28.52 tff(30292,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30293,plain,
% 42.91/28.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2)),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30292, 30291])).
% 42.91/28.52 tff(30294,plain,
% 42.91/28.52 ((~v127(constB175, bitIndex2)) | v130(constB175, bitIndex2)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30293, 1419, 30206])).
% 42.91/28.52 tff(30295,plain,
% 42.91/28.52 (~v127(constB175, bitIndex2)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30294, 30287])).
% 42.91/28.52 tff(30296,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30297,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30298,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30297, 30296])).
% 42.91/28.52 tff(30299,plain,
% 42.91/28.52 (v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30298, 1437, 30224])).
% 42.91/28.52 tff(30300,plain,
% 42.91/28.52 (~v129(constB176, bitIndex2)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30299, 30295])).
% 42.91/28.52 tff(30301,plain,
% 42.91/28.52 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30302,plain,
% 42.91/28.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30303,plain,
% 42.91/28.52 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30302, 30301])).
% 42.91/28.52 tff(30304,plain,
% 42.91/28.52 ((~v90(constB176, bitIndex2)) | (~v100(constB176))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30303, 1452, 30300])).
% 42.91/28.52 tff(30305,plain,
% 42.91/28.52 (~v90(constB176, bitIndex2)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30304, 30264])).
% 42.91/28.52 tff(30306,plain,
% 42.91/28.52 ((~v1(constB177)) <=> (~v1(constB177))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30307,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 42.91/28.52 tff(30308,plain,
% 42.91/28.52 (~v1(constB177)),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30307, 30306])).
% 42.91/28.52 tff(30309,plain,
% 42.91/28.52 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30310,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 42.91/28.52 tff(30311,plain,
% 42.91/28.52 (nextState(constB176, constB177)),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30310, 30309])).
% 42.91/28.52 tff(30312,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30313,plain,
% 42.91/28.52 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30314,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30313])).
% 42.91/28.52 tff(30315,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30314, 30312])).
% 42.91/28.52 tff(30316,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30317,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30316, 30315])).
% 42.91/28.52 tff(30318,plain,
% 42.91/28.52 (~v101(constB177)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30317, 391, 30311, 30308])).
% 42.91/28.52 tff(30319,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30320,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30321,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30320, 30319])).
% 42.91/28.52 tff(30322,plain,
% 42.91/28.52 (v101(constB177) | (~v100(constB177))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30321, 408, 30311])).
% 42.91/28.52 tff(30323,plain,
% 42.91/28.52 (~v100(constB177)),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30322, 30318])).
% 42.91/28.52 tff(30324,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30325,plain,
% 42.91/28.52 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2))) <=> (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 42.91/28.52 inference(rewrite,[status(thm)],[])).
% 42.91/28.52 tff(30326,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2))))),
% 42.91/28.52 inference(monotonicity,[status(thm)],[30325])).
% 42.91/28.52 tff(30327,plain,
% 42.91/28.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 42.91/28.52 inference(transitivity,[status(thm)],[30326, 30324])).
% 42.91/28.52 tff(30328,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 42.91/28.52 inference(quant_inst,[status(thm)],[])).
% 42.91/28.52 tff(30329,plain,
% 42.91/28.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2))),
% 42.91/28.52 inference(modus_ponens,[status(thm)],[30328, 30327])).
% 42.91/28.52 tff(30330,plain,
% 42.91/28.52 (v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2))),
% 42.91/28.52 inference(unit_resolution,[status(thm)],[30329, 423, 30311])).
% 42.91/28.52 tff(30331,plain,
% 42.91/28.52 (v90(constB176, bitIndex2) | (~v90(constB177, bitIndex2))),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30330, 30323])).
% 42.91/28.53 tff(30332,plain,
% 42.91/28.53 (~v90(constB177, bitIndex2)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30331, 30305])).
% 42.91/28.53 tff(30333,assumption,(~v130(constB175, bitIndex0)), introduced(assumption)).
% 42.91/28.53 tff(30334,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB175)) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB175)) | v130(constB175, bitIndex0))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30335,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB175)) | v130(constB175, bitIndex0))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30336,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB175)) | v130(constB175, bitIndex0)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30335, 30334])).
% 42.91/28.53 tff(30337,plain,
% 42.91/28.53 (~v124(constB175)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30336, 4083, 30333])).
% 42.91/28.53 tff(30338,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB175)) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB175)) | v130(constB175, bitIndex0))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30339,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB175)) | v130(constB175, bitIndex0))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30340,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB175)) | v130(constB175, bitIndex0)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30339, 30338])).
% 42.91/28.53 tff(30341,plain,
% 42.91/28.53 (~v121(constB175)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30340, 2088, 30333])).
% 42.91/28.53 tff(30342,assumption,(v90(constB175, bitIndex2)), introduced(assumption)).
% 42.91/28.53 tff(30343,plain,
% 42.91/28.53 (~v122(constB175)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30271, 1347, 30342])).
% 42.91/28.53 tff(30344,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB175)) | (~v90(constB175, bitIndex2)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30345,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex2)))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30346,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB175)) | (~v90(constB175, bitIndex2))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30345, 30344])).
% 42.91/28.53 tff(30347,plain,
% 42.91/28.53 (~v119(constB175)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30346, 7590, 30342])).
% 42.91/28.53 tff(30348,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30349,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30350,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30349, 30348])).
% 42.91/28.53 tff(30351,plain,
% 42.91/28.53 (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30350, 1538, 30333])).
% 42.91/28.53 tff(30352,plain,
% 42.91/28.53 ($false),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30351, 30347, 30343, 30341, 30282, 30281, 30337])).
% 42.91/28.53 tff(30353,plain,((~v90(constB175, bitIndex2)) | v120(constB175) | v123(constB175) | v130(constB175, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.53 tff(30354,plain,
% 42.91/28.53 (v130(constB175, bitIndex0)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30353, 30151, 30282, 30281])).
% 42.91/28.53 tff(30355,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30356,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30357,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30356, 30355])).
% 42.91/28.53 tff(30358,plain,
% 42.91/28.53 ((~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30357, 1552, 30206])).
% 42.91/28.53 tff(30359,plain,
% 42.91/28.53 (v127(constB175, bitIndex0)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30358, 30354])).
% 42.91/28.53 tff(30360,plain,
% 42.91/28.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30361,plain,
% 42.91/28.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30362,plain,
% 42.91/28.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30361, 30360])).
% 42.91/28.53 tff(30363,plain,
% 42.91/28.53 ((~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30362, 1567, 30224])).
% 42.91/28.53 tff(30364,plain,
% 42.91/28.53 (v129(constB176, bitIndex0)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30363, 30359])).
% 42.91/28.53 tff(30365,plain,
% 42.91/28.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30366,plain,
% 42.91/28.53 ((v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30367,plain,
% 42.91/28.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176))))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30366])).
% 42.91/28.53 tff(30368,plain,
% 42.91/28.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30367, 30365])).
% 42.91/28.53 tff(30369,plain,
% 42.91/28.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30370,plain,
% 42.91/28.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30369, 30368])).
% 42.91/28.53 tff(30371,plain,
% 42.91/28.53 (v90(constB176, bitIndex0) | (~v100(constB176))),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30370, 1582, 30364])).
% 42.91/28.53 tff(30372,plain,
% 42.91/28.53 (v90(constB176, bitIndex0)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30371, 30264])).
% 42.91/28.53 tff(30373,plain,
% 42.91/28.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30374,plain,
% 42.91/28.53 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30375,plain,
% 42.91/28.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0)))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30374])).
% 42.91/28.53 tff(30376,plain,
% 42.91/28.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30375, 30373])).
% 42.91/28.53 tff(30377,plain,
% 42.91/28.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30378,plain,
% 42.91/28.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30377, 30376])).
% 42.91/28.53 tff(30379,plain,
% 42.91/28.53 ((~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30378, 1600, 30311])).
% 42.91/28.53 tff(30380,plain,
% 42.91/28.53 ((~v90(constB176, bitIndex0)) | v90(constB177, bitIndex0)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30379, 30323])).
% 42.91/28.53 tff(30381,plain,
% 42.91/28.53 (v90(constB177, bitIndex0)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30380, 30372])).
% 42.91/28.53 tff(30382,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30383,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30384,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30383, 30382])).
% 42.91/28.53 tff(30385,plain,
% 42.91/28.53 (v119(constB175) | v121(constB175) | v122(constB175) | v124(constB175) | (~v130(constB175, bitIndex1))),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30384, 1494, 30282, 30281])).
% 42.91/28.53 tff(30386,plain,
% 42.91/28.53 (~v130(constB175, bitIndex1)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30385, 30280, 30276, 30272, 30268])).
% 42.91/28.53 tff(30387,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30388,plain,
% 42.91/28.53 ((v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1))) <=> ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30389,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30388])).
% 42.91/28.53 tff(30390,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30389, 30387])).
% 42.91/28.53 tff(30391,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30392,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30391, 30390])).
% 42.91/28.53 tff(30393,plain,
% 42.91/28.53 ((~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30392, 823, 30206])).
% 42.91/28.53 tff(30394,plain,
% 42.91/28.53 (~v127(constB175, bitIndex1)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30393, 30386])).
% 42.91/28.53 tff(30395,plain,
% 42.91/28.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30396,plain,
% 42.91/28.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30397,plain,
% 42.91/28.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30396, 30395])).
% 42.91/28.53 tff(30398,plain,
% 42.91/28.53 (v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30397, 853, 30224])).
% 42.91/28.53 tff(30399,plain,
% 42.91/28.53 (~v129(constB176, bitIndex1)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30398, 30394])).
% 42.91/28.53 tff(30400,plain,
% 42.91/28.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30401,plain,
% 42.91/28.53 (((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30402,plain,
% 42.91/28.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30401])).
% 42.91/28.53 tff(30403,plain,
% 42.91/28.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30402, 30400])).
% 42.91/28.53 tff(30404,plain,
% 42.91/28.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30405,plain,
% 42.91/28.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30404, 30403])).
% 42.91/28.53 tff(30406,plain,
% 42.91/28.53 ((~v90(constB176, bitIndex1)) | (~v100(constB176))),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30405, 868, 30399])).
% 42.91/28.53 tff(30407,plain,
% 42.91/28.53 (~v90(constB176, bitIndex1)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30406, 30264])).
% 42.91/28.53 tff(30408,plain,
% 42.91/28.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30409,plain,
% 42.91/28.53 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30410,plain,
% 42.91/28.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30409])).
% 42.91/28.53 tff(30411,plain,
% 42.91/28.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30410, 30408])).
% 42.91/28.53 tff(30412,plain,
% 42.91/28.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30413,plain,
% 42.91/28.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30412, 30411])).
% 42.91/28.53 tff(30414,plain,
% 42.91/28.53 (v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30413, 444, 30311])).
% 42.91/28.53 tff(30415,plain,
% 42.91/28.53 (v90(constB176, bitIndex1) | (~v90(constB177, bitIndex1))),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30414, 30323])).
% 42.91/28.53 tff(30416,plain,
% 42.91/28.53 (~v90(constB177, bitIndex1)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30415, 30407])).
% 42.91/28.53 tff(30417,assumption,(~v120(constB177)), introduced(assumption)).
% 42.91/28.53 tff(30418,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30419,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30420,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30419, 30418])).
% 42.91/28.53 tff(30421,plain,
% 42.91/28.53 ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30420, 1619, 30417])).
% 42.91/28.53 tff(30422,plain,
% 42.91/28.53 ($false),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30421, 30416, 30381, 30332])).
% 42.91/28.53 tff(30423,plain,((~v123(constB173)) | v120(constB177) | v120(constB175) | v123(constB175)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.53 tff(30424,plain,
% 42.91/28.53 (v120(constB177)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30423, 30112, 29978, 30108])).
% 42.91/28.53 tff(30425,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB177)) | v118(constB177))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB177)) | v118(constB177))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30426,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB177)) | v118(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30427,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB177)) | v118(constB177)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30426, 30425])).
% 42.91/28.53 tff(30428,plain,
% 42.91/28.53 (v118(constB177)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30427, 1630, 30424])).
% 42.91/28.53 tff(30429,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB177) | (~v118(constB177)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB177) | (~v118(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30430,plain,
% 42.91/28.53 (((~v118(constB177)) | v117(constB177)) <=> (v117(constB177) | (~v118(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30431,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB177)) | v117(constB177))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB177) | (~v118(constB177))))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30430])).
% 42.91/28.53 tff(30432,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB177)) | v117(constB177))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB177) | (~v118(constB177)))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30431, 30429])).
% 42.91/28.53 tff(30433,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB177)) | v117(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30434,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB177) | (~v118(constB177))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30433, 30432])).
% 42.91/28.53 tff(30435,plain,
% 42.91/28.53 (v117(constB177)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30434, 511, 30428])).
% 42.91/28.53 tff(30436,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB177) | (~v117(constB177)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB177) | (~v117(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30437,plain,
% 42.91/28.53 (((~v117(constB177)) | v116(constB177)) <=> (v116(constB177) | (~v117(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30438,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB177)) | v116(constB177))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB177) | (~v117(constB177))))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30437])).
% 42.91/28.53 tff(30439,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB177)) | v116(constB177))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB177) | (~v117(constB177)))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30438, 30436])).
% 42.91/28.53 tff(30440,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB177)) | v116(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30441,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB177) | (~v117(constB177))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30440, 30439])).
% 42.91/28.53 tff(30442,plain,
% 42.91/28.53 (v116(constB177)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30441, 525, 30435])).
% 42.91/28.53 tff(30443,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v116(constB177)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v116(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30444,plain,
% 42.91/28.53 (((~v116(constB177)) | v115(constB177)) <=> (v115(constB177) | (~v116(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30445,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v116(constB177))))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30444])).
% 42.91/28.53 tff(30446,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v116(constB177)))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30445, 30443])).
% 42.91/28.53 tff(30447,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB177)) | v115(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30448,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v116(constB177))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30447, 30446])).
% 42.91/28.53 tff(30449,plain,
% 42.91/28.53 (v115(constB177)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30448, 539, 30442])).
% 42.91/28.53 tff(30450,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30451,plain,
% 42.91/28.53 (((~v115(constB177)) | v114(constB177)) <=> (v114(constB177) | (~v115(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30452,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177))))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30451])).
% 42.91/28.53 tff(30453,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30452, 30450])).
% 42.91/28.53 tff(30454,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30455,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30454, 30453])).
% 42.91/28.53 tff(30456,plain,
% 42.91/28.53 (v114(constB177)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30455, 553, 30449])).
% 42.91/28.53 tff(30457,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30458,plain,
% 42.91/28.53 (((~v114(constB177)) | v113(constB177)) <=> (v113(constB177) | (~v114(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30459,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177))))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30458])).
% 42.91/28.53 tff(30460,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30459, 30457])).
% 42.91/28.53 tff(30461,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30462,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177))),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30461, 30460])).
% 42.91/28.53 tff(30463,plain,
% 42.91/28.53 (v113(constB177)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30462, 567, 30456])).
% 42.91/28.53 tff(30464,assumption,(v26(constB177)), introduced(assumption)).
% 42.91/28.53 tff(30465,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30466,plain,
% 42.91/28.53 ($false),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30465, 95, 30464])).
% 42.91/28.53 tff(30467,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.53 tff(30468,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30469,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30470,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177)),
% 42.91/28.53 inference(modus_ponens,[status(thm)],[30469, 30468])).
% 42.91/28.53 tff(30471,plain,
% 42.91/28.53 ((~v113(constB177)) | v112(constB177)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30470, 581, 30467])).
% 42.91/28.53 tff(30472,plain,
% 42.91/28.53 (v112(constB177)),
% 42.91/28.53 inference(unit_resolution,[status(thm)],[30471, 30463])).
% 42.91/28.53 tff(30473,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30474,plain,
% 42.91/28.53 (((~v112(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v112(constB177)))),
% 42.91/28.53 inference(rewrite,[status(thm)],[])).
% 42.91/28.53 tff(30475,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177))))),
% 42.91/28.53 inference(monotonicity,[status(thm)],[30474])).
% 42.91/28.53 tff(30476,plain,
% 42.91/28.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 42.91/28.53 inference(transitivity,[status(thm)],[30475, 30473])).
% 42.91/28.53 tff(30477,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))),
% 42.91/28.53 inference(quant_inst,[status(thm)],[])).
% 42.91/28.53 tff(30478,plain,
% 42.91/28.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30477, 30476])).
% 42.91/28.54 tff(30479,plain,
% 42.91/28.54 (v108(constB177)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30478, 746, 30472])).
% 42.91/28.54 tff(30480,plain,
% 42.91/28.54 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30481,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 42.91/28.54 tff(30482,plain,
% 42.91/28.54 (nextState(constB177, constB178)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30481, 30480])).
% 42.91/28.54 tff(30483,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30484,plain,
% 42.91/28.54 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30485,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30484])).
% 42.91/28.54 tff(30486,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 42.91/28.54 inference(transitivity,[status(thm)],[30485, 30483])).
% 42.91/28.54 tff(30487,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30488,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30487, 30486])).
% 42.91/28.54 tff(30489,plain,
% 42.91/28.54 (v110(constB178) | (~v108(constB177))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30488, 731, 30482])).
% 42.91/28.54 tff(30490,plain,
% 42.91/28.54 (v110(constB178)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30489, 30479])).
% 42.91/28.54 tff(30491,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30492,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30493,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30492, 30491])).
% 42.91/28.54 tff(30494,plain,
% 42.91/28.54 (~v104(constB178)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30493, 659, 30482, 30308])).
% 42.91/28.54 tff(30495,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30496,plain,
% 42.91/28.54 (((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)) <=> ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30497,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178)))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30496])).
% 42.91/28.54 tff(30498,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 42.91/28.54 inference(transitivity,[status(thm)],[30497, 30495])).
% 42.91/28.54 tff(30499,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30500,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30499, 30498])).
% 42.91/28.54 tff(30501,plain,
% 42.91/28.54 (v104(constB178) | v102(constB178)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30500, 673, 30482])).
% 42.91/28.54 tff(30502,plain,
% 42.91/28.54 (v102(constB178)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30501, 30494])).
% 42.91/28.54 tff(30503,plain,
% 42.91/28.54 (v1(constB178) <=> v1(constB178)),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30504,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 42.91/28.54 tff(30505,plain,
% 42.91/28.54 (v1(constB178)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30504, 30503])).
% 42.91/28.54 tff(30506,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30507,plain,
% 42.91/28.54 (((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))) <=> ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30508,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178))))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30507])).
% 42.91/28.54 tff(30509,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 42.91/28.54 inference(transitivity,[status(thm)],[30508, 30506])).
% 42.91/28.54 tff(30510,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30511,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30510, 30509])).
% 42.91/28.54 tff(30512,plain,
% 42.91/28.54 (v101(constB178) | (~v102(constB178))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30511, 694, 30482, 30505])).
% 42.91/28.54 tff(30513,plain,
% 42.91/28.54 (v101(constB178)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30512, 30502])).
% 42.91/28.54 tff(30514,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30515,plain,
% 42.91/28.54 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30516,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30515])).
% 42.91/28.54 tff(30517,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 42.91/28.54 inference(transitivity,[status(thm)],[30516, 30514])).
% 42.91/28.54 tff(30518,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30519,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30518, 30517])).
% 42.91/28.54 tff(30520,plain,
% 42.91/28.54 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30519, 712, 30482])).
% 42.91/28.54 tff(30521,plain,
% 42.91/28.54 (v100(constB178) | (~v110(constB178))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30520, 30513])).
% 42.91/28.54 tff(30522,plain,
% 42.91/28.54 (v100(constB178)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30521, 30490])).
% 42.91/28.54 tff(30523,plain,
% 42.91/28.54 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB177)) | (~v130(constB177, bitIndex2)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30524,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex2)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30525,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB177)) | (~v130(constB177, bitIndex2))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30524, 30523])).
% 42.91/28.54 tff(30526,plain,
% 42.91/28.54 (~v130(constB177, bitIndex2)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30525, 1732, 30424])).
% 42.91/28.54 tff(30527,plain,
% 42.91/28.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30528,plain,
% 42.91/28.54 ((v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2))) <=> ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30529,plain,
% 42.91/28.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2)))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30528])).
% 42.91/28.54 tff(30530,plain,
% 42.91/28.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 42.91/28.54 inference(transitivity,[status(thm)],[30529, 30527])).
% 42.91/28.54 tff(30531,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30532,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30531, 30530])).
% 42.91/28.54 tff(30533,plain,
% 42.91/28.54 ((~v127(constB177, bitIndex2)) | v130(constB177, bitIndex2)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30532, 1419, 30467])).
% 42.91/28.54 tff(30534,plain,
% 42.91/28.54 (~v127(constB177, bitIndex2)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30533, 30526])).
% 42.91/28.54 tff(30535,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30536,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30537,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30536, 30535])).
% 42.91/28.54 tff(30538,plain,
% 42.91/28.54 (v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30537, 1437, 30482])).
% 42.91/28.54 tff(30539,plain,
% 42.91/28.54 (~v129(constB178, bitIndex2)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30538, 30534])).
% 42.91/28.54 tff(30540,plain,
% 42.91/28.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30541,plain,
% 42.91/28.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30542,plain,
% 42.91/28.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30541, 30540])).
% 42.91/28.54 tff(30543,plain,
% 42.91/28.54 ((~v90(constB178, bitIndex2)) | (~v100(constB178))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30542, 1452, 30539])).
% 42.91/28.54 tff(30544,plain,
% 42.91/28.54 (~v90(constB178, bitIndex2)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30543, 30522])).
% 42.91/28.54 tff(30545,plain,
% 42.91/28.54 ((~v1(constB179)) <=> (~v1(constB179))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30546,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 42.91/28.54 tff(30547,plain,
% 42.91/28.54 (~v1(constB179)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30546, 30545])).
% 42.91/28.54 tff(30548,plain,
% 42.91/28.54 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30549,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 42.91/28.54 tff(30550,plain,
% 42.91/28.54 (nextState(constB178, constB179)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30549, 30548])).
% 42.91/28.54 tff(30551,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30552,plain,
% 42.91/28.54 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30553,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30552])).
% 42.91/28.54 tff(30554,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 42.91/28.54 inference(transitivity,[status(thm)],[30553, 30551])).
% 42.91/28.54 tff(30555,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30556,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30555, 30554])).
% 42.91/28.54 tff(30557,plain,
% 42.91/28.54 (~v101(constB179)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30556, 391, 30550, 30547])).
% 42.91/28.54 tff(30558,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30559,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30560,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30559, 30558])).
% 42.91/28.54 tff(30561,plain,
% 42.91/28.54 (v101(constB179) | (~v100(constB179))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30560, 408, 30550])).
% 42.91/28.54 tff(30562,plain,
% 42.91/28.54 (~v100(constB179)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30561, 30557])).
% 42.91/28.54 tff(30563,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30564,plain,
% 42.91/28.54 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2))) <=> (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30565,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2))))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30564])).
% 42.91/28.54 tff(30566,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 42.91/28.54 inference(transitivity,[status(thm)],[30565, 30563])).
% 42.91/28.54 tff(30567,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30568,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30567, 30566])).
% 42.91/28.54 tff(30569,plain,
% 42.91/28.54 (v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30568, 423, 30550])).
% 42.91/28.54 tff(30570,plain,
% 42.91/28.54 (v90(constB178, bitIndex2) | (~v90(constB179, bitIndex2))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30569, 30562])).
% 42.91/28.54 tff(30571,plain,
% 42.91/28.54 (~v90(constB179, bitIndex2)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30570, 30544])).
% 42.91/28.54 tff(30572,plain,
% 42.91/28.54 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30573,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30574,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30573, 30572])).
% 42.91/28.54 tff(30575,plain,
% 42.91/28.54 (v130(constB177, bitIndex1)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30574, 1788, 30424])).
% 42.91/28.54 tff(30576,plain,
% 42.91/28.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30577,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30578,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30577, 30576])).
% 42.91/28.54 tff(30579,plain,
% 42.91/28.54 ((~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30578, 1144, 30467])).
% 42.91/28.54 tff(30580,plain,
% 42.91/28.54 (v127(constB177, bitIndex1)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30579, 30575])).
% 42.91/28.54 tff(30581,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30582,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30583,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30582, 30581])).
% 42.91/28.54 tff(30584,plain,
% 42.91/28.54 ((~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30583, 1159, 30482])).
% 42.91/28.54 tff(30585,plain,
% 42.91/28.54 (v129(constB178, bitIndex1)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30584, 30580])).
% 42.91/28.54 tff(30586,plain,
% 42.91/28.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30587,plain,
% 42.91/28.54 ((v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30588,plain,
% 42.91/28.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178))))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30587])).
% 42.91/28.54 tff(30589,plain,
% 42.91/28.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 42.91/28.54 inference(transitivity,[status(thm)],[30588, 30586])).
% 42.91/28.54 tff(30590,plain,
% 42.91/28.54 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30591,plain,
% 42.91/28.54 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30590, 30589])).
% 42.91/28.54 tff(30592,plain,
% 42.91/28.54 (v90(constB178, bitIndex1) | (~v100(constB178))),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30591, 1174, 30585])).
% 42.91/28.54 tff(30593,plain,
% 42.91/28.54 (v90(constB178, bitIndex1)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30592, 30522])).
% 42.91/28.54 tff(30594,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30595,plain,
% 42.91/28.54 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1)) <=> ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30596,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1)))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30595])).
% 42.91/28.54 tff(30597,plain,
% 42.91/28.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 42.91/28.54 inference(transitivity,[status(thm)],[30596, 30594])).
% 42.91/28.54 tff(30598,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30599,plain,
% 42.91/28.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1)),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30598, 30597])).
% 42.91/28.54 tff(30600,plain,
% 42.91/28.54 ((~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30599, 1192, 30550])).
% 42.91/28.54 tff(30601,plain,
% 42.91/28.54 ((~v90(constB178, bitIndex1)) | v90(constB179, bitIndex1)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30600, 30562])).
% 42.91/28.54 tff(30602,plain,
% 42.91/28.54 (v90(constB179, bitIndex1)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30601, 30593])).
% 42.91/28.54 tff(30603,plain,
% 42.91/28.54 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB177)) | (~v130(constB177, bitIndex0)))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30604,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex0)))),
% 42.91/28.54 inference(quant_inst,[status(thm)],[])).
% 42.91/28.54 tff(30605,plain,
% 42.91/28.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB177)) | (~v130(constB177, bitIndex0))),
% 42.91/28.54 inference(modus_ponens,[status(thm)],[30604, 30603])).
% 42.91/28.54 tff(30606,plain,
% 42.91/28.54 (~v130(constB177, bitIndex0)),
% 42.91/28.54 inference(unit_resolution,[status(thm)],[30605, 1826, 30424])).
% 42.91/28.54 tff(30607,plain,
% 42.91/28.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30608,plain,
% 42.91/28.54 ((v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0))) <=> ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 42.91/28.54 inference(rewrite,[status(thm)],[])).
% 42.91/28.54 tff(30609,plain,
% 42.91/28.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0)))),
% 42.91/28.54 inference(monotonicity,[status(thm)],[30608])).
% 42.91/28.55 tff(30610,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30609, 30607])).
% 42.91/28.55 tff(30611,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30612,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0)),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30611, 30610])).
% 42.91/28.55 tff(30613,plain,
% 42.91/28.55 ((~v127(constB177, bitIndex0)) | v130(constB177, bitIndex0)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30612, 907, 30467])).
% 42.91/28.55 tff(30614,plain,
% 42.91/28.55 (~v127(constB177, bitIndex0)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30613, 30606])).
% 42.91/28.55 tff(30615,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30616,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30617,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30616, 30615])).
% 42.91/28.55 tff(30618,plain,
% 42.91/28.55 (v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0))),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30617, 937, 30482])).
% 42.91/28.55 tff(30619,plain,
% 42.91/28.55 (~v129(constB178, bitIndex0)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30618, 30614])).
% 42.91/28.55 tff(30620,plain,
% 42.91/28.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30621,plain,
% 42.91/28.55 (((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0)) <=> ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30622,plain,
% 42.91/28.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30621])).
% 42.91/28.55 tff(30623,plain,
% 42.91/28.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30622, 30620])).
% 42.91/28.55 tff(30624,plain,
% 42.91/28.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30625,plain,
% 42.91/28.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30624, 30623])).
% 42.91/28.55 tff(30626,plain,
% 42.91/28.55 ((~v90(constB178, bitIndex0)) | (~v100(constB178))),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30625, 952, 30619])).
% 42.91/28.55 tff(30627,plain,
% 42.91/28.55 (~v90(constB178, bitIndex0)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30626, 30522])).
% 42.91/28.55 tff(30628,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30629,plain,
% 42.91/28.55 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0))) <=> (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30630,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30629])).
% 42.91/28.55 tff(30631,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30630, 30628])).
% 42.91/28.55 tff(30632,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30633,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30632, 30631])).
% 42.91/28.55 tff(30634,plain,
% 42.91/28.55 (v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0))),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30633, 465, 30550])).
% 42.91/28.55 tff(30635,plain,
% 42.91/28.55 (v90(constB178, bitIndex0) | (~v90(constB179, bitIndex0))),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30634, 30562])).
% 42.91/28.55 tff(30636,plain,
% 42.91/28.55 (~v90(constB179, bitIndex0)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30635, 30627])).
% 42.91/28.55 tff(30637,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30638,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30639,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179)),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30638, 30637])).
% 42.91/28.55 tff(30640,plain,
% 42.91/28.55 (v121(constB179)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30639, 1870, 30636, 30602, 30571])).
% 42.91/28.55 tff(30641,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB179) | (~v121(constB179)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB179) | (~v121(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30642,plain,
% 42.91/28.55 (((~v121(constB179)) | v117(constB179)) <=> (v117(constB179) | (~v121(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30643,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB179)) | v117(constB179))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB179) | (~v121(constB179))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30642])).
% 42.91/28.55 tff(30644,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB179)) | v117(constB179))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB179) | (~v121(constB179)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30643, 30641])).
% 42.91/28.55 tff(30645,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB179)) | v117(constB179))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30646,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB179) | (~v121(constB179))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30645, 30644])).
% 42.91/28.55 tff(30647,plain,
% 42.91/28.55 (v117(constB179)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30646, 1881, 30640])).
% 42.91/28.55 tff(30648,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB179) | (~v117(constB179)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB179) | (~v117(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30649,plain,
% 42.91/28.55 (((~v117(constB179)) | v116(constB179)) <=> (v116(constB179) | (~v117(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30650,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB179)) | v116(constB179))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB179) | (~v117(constB179))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30649])).
% 42.91/28.55 tff(30651,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB179)) | v116(constB179))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB179) | (~v117(constB179)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30650, 30648])).
% 42.91/28.55 tff(30652,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB179)) | v116(constB179))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30653,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB179) | (~v117(constB179))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30652, 30651])).
% 42.91/28.55 tff(30654,plain,
% 42.91/28.55 (v116(constB179)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30653, 525, 30647])).
% 42.91/28.55 tff(30655,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB179) | (~v116(constB179)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB179) | (~v116(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30656,plain,
% 42.91/28.55 (((~v116(constB179)) | v115(constB179)) <=> (v115(constB179) | (~v116(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30657,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB179)) | v115(constB179))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB179) | (~v116(constB179))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30656])).
% 42.91/28.55 tff(30658,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB179)) | v115(constB179))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB179) | (~v116(constB179)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30657, 30655])).
% 42.91/28.55 tff(30659,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB179)) | v115(constB179))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30660,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB179) | (~v116(constB179))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30659, 30658])).
% 42.91/28.55 tff(30661,plain,
% 42.91/28.55 (v115(constB179)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30660, 539, 30654])).
% 42.91/28.55 tff(30662,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB179) | (~v115(constB179)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB179) | (~v115(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30663,plain,
% 42.91/28.55 (((~v115(constB179)) | v114(constB179)) <=> (v114(constB179) | (~v115(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30664,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB179)) | v114(constB179))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB179) | (~v115(constB179))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30663])).
% 42.91/28.55 tff(30665,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB179)) | v114(constB179))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB179) | (~v115(constB179)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30664, 30662])).
% 42.91/28.55 tff(30666,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB179)) | v114(constB179))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30667,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB179) | (~v115(constB179))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30666, 30665])).
% 42.91/28.55 tff(30668,plain,
% 42.91/28.55 (v114(constB179)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30667, 553, 30661])).
% 42.91/28.55 tff(30669,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30670,plain,
% 42.91/28.55 (((~v114(constB179)) | v113(constB179)) <=> (v113(constB179) | (~v114(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30671,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30670])).
% 42.91/28.55 tff(30672,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30671, 30669])).
% 42.91/28.55 tff(30673,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30674,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30673, 30672])).
% 42.91/28.55 tff(30675,plain,
% 42.91/28.55 (v113(constB179)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30674, 567, 30668])).
% 42.91/28.55 tff(30676,assumption,(v26(constB179)), introduced(assumption)).
% 42.91/28.55 tff(30677,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30678,plain,
% 42.91/28.55 ($false),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30677, 95, 30676])).
% 42.91/28.55 tff(30679,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.55 tff(30680,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30681,plain,
% 42.91/28.55 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30682,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30681])).
% 42.91/28.55 tff(30683,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30682, 30680])).
% 42.91/28.55 tff(30684,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30685,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30684, 30683])).
% 42.91/28.55 tff(30686,plain,
% 42.91/28.55 (v112(constB179) | (~v113(constB179))),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30685, 581, 30679])).
% 42.91/28.55 tff(30687,plain,
% 42.91/28.55 (v112(constB179)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30686, 30675])).
% 42.91/28.55 tff(30688,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30689,plain,
% 42.91/28.55 (((~v112(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v112(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30690,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30689])).
% 42.91/28.55 tff(30691,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30690, 30688])).
% 42.91/28.55 tff(30692,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30693,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30692, 30691])).
% 42.91/28.55 tff(30694,plain,
% 42.91/28.55 (v108(constB179)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30693, 746, 30687])).
% 42.91/28.55 tff(30695,plain,
% 42.91/28.55 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30696,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 42.91/28.55 tff(30697,plain,
% 42.91/28.55 (nextState(constB179, constB180)),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30696, 30695])).
% 42.91/28.55 tff(30698,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30699,plain,
% 42.91/28.55 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30700,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30699])).
% 42.91/28.55 tff(30701,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30700, 30698])).
% 42.91/28.55 tff(30702,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30703,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30702, 30701])).
% 42.91/28.55 tff(30704,plain,
% 42.91/28.55 (v110(constB180) | (~v108(constB179))),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30703, 731, 30697])).
% 42.91/28.55 tff(30705,plain,
% 42.91/28.55 (v110(constB180)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30704, 30694])).
% 42.91/28.55 tff(30706,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30707,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30708,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30707, 30706])).
% 42.91/28.55 tff(30709,plain,
% 42.91/28.55 (~v104(constB180)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30708, 659, 30697, 30547])).
% 42.91/28.55 tff(30710,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30711,plain,
% 42.91/28.55 (((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)) <=> ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30712,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180)))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30711])).
% 42.91/28.55 tff(30713,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30712, 30710])).
% 42.91/28.55 tff(30714,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30715,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180)),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30714, 30713])).
% 42.91/28.55 tff(30716,plain,
% 42.91/28.55 (v104(constB180) | v102(constB180)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30715, 673, 30697])).
% 42.91/28.55 tff(30717,plain,
% 42.91/28.55 (v102(constB180)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30716, 30709])).
% 42.91/28.55 tff(30718,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30719,plain,
% 42.91/28.55 (((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))) <=> ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30720,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30719])).
% 42.91/28.55 tff(30721,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30720, 30718])).
% 42.91/28.55 tff(30722,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30723,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30722, 30721])).
% 42.91/28.55 tff(30724,plain,
% 42.91/28.55 (v101(constB180) | (~v102(constB180))),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30723, 694, 30697, 28351])).
% 42.91/28.55 tff(30725,plain,
% 42.91/28.55 (v101(constB180)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30724, 30717])).
% 42.91/28.55 tff(30726,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30727,plain,
% 42.91/28.55 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30728,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30727])).
% 42.91/28.55 tff(30729,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30728, 30726])).
% 42.91/28.55 tff(30730,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30731,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30730, 30729])).
% 42.91/28.55 tff(30732,plain,
% 42.91/28.55 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30731, 712, 30697])).
% 42.91/28.55 tff(30733,plain,
% 42.91/28.55 (v100(constB180) | (~v110(constB180))),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30732, 30725])).
% 42.91/28.55 tff(30734,plain,
% 42.91/28.55 (v100(constB180)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30733, 30705])).
% 42.91/28.55 tff(30735,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB179)) | (~v130(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB179)) | (~v130(constB179, bitIndex2)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30736,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB179)) | (~v130(constB179, bitIndex2)))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30737,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB179)) | (~v130(constB179, bitIndex2))),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30736, 30735])).
% 42.91/28.55 tff(30738,plain,
% 42.91/28.55 (~v130(constB179, bitIndex2)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30737, 1990, 30640])).
% 42.91/28.55 tff(30739,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30740,plain,
% 42.91/28.55 ((v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2))) <=> ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30741,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2)))),
% 42.91/28.55 inference(monotonicity,[status(thm)],[30740])).
% 42.91/28.55 tff(30742,plain,
% 42.91/28.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 42.91/28.55 inference(transitivity,[status(thm)],[30741, 30739])).
% 42.91/28.55 tff(30743,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30744,plain,
% 42.91/28.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2)),
% 42.91/28.55 inference(modus_ponens,[status(thm)],[30743, 30742])).
% 42.91/28.55 tff(30745,plain,
% 42.91/28.55 ((~v127(constB179, bitIndex2)) | v130(constB179, bitIndex2)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30744, 1419, 30679])).
% 42.91/28.55 tff(30746,plain,
% 42.91/28.55 (~v127(constB179, bitIndex2)),
% 42.91/28.55 inference(unit_resolution,[status(thm)],[30745, 30738])).
% 42.91/28.55 tff(30747,plain,
% 42.91/28.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))),
% 42.91/28.55 inference(rewrite,[status(thm)],[])).
% 42.91/28.55 tff(30748,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))),
% 42.91/28.55 inference(quant_inst,[status(thm)],[])).
% 42.91/28.55 tff(30749,plain,
% 42.91/28.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 42.91/28.56 tff(30750,plain,
% 42.91/28.56 (v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2))),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30749, 1437, 30697])).
% 42.91/28.56 tff(30751,plain,
% 42.91/28.56 (~v129(constB180, bitIndex2)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30750, 30746])).
% 42.91/28.56 tff(30752,plain,
% 42.91/28.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30753,plain,
% 42.91/28.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30754,plain,
% 42.91/28.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 42.91/28.56 tff(30755,plain,
% 42.91/28.56 ((~v90(constB180, bitIndex2)) | (~v100(constB180))),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30754, 1452, 30751])).
% 42.91/28.56 tff(30756,plain,
% 42.91/28.56 (~v90(constB180, bitIndex2)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30755, 30734])).
% 42.91/28.56 tff(30757,plain,
% 42.91/28.56 ((~v1(constB181)) <=> (~v1(constB181))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30758,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 42.91/28.56 tff(30759,plain,
% 42.91/28.56 (~v1(constB181)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30758, 30757])).
% 42.91/28.56 tff(30760,plain,
% 42.91/28.56 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30761,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 42.91/28.56 tff(30762,plain,
% 42.91/28.56 (nextState(constB180, constB181)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 42.91/28.56 tff(30763,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30764,plain,
% 42.91/28.56 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30765,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30764])).
% 42.91/28.56 tff(30766,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30765, 30763])).
% 42.91/28.56 tff(30767,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30768,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30767, 30766])).
% 42.91/28.56 tff(30769,plain,
% 42.91/28.56 (~v101(constB181)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30768, 391, 30762, 30759])).
% 42.91/28.56 tff(30770,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30771,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30772,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30771, 30770])).
% 42.91/28.56 tff(30773,plain,
% 42.91/28.56 (v101(constB181) | (~v100(constB181))),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30772, 408, 30762])).
% 42.91/28.56 tff(30774,plain,
% 42.91/28.56 (~v100(constB181)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30773, 30769])).
% 42.91/28.56 tff(30775,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30776,plain,
% 42.91/28.56 (((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2))) <=> (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30777,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2))))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30776])).
% 42.91/28.56 tff(30778,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30777, 30775])).
% 42.91/28.56 tff(30779,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30780,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30779, 30778])).
% 42.91/28.56 tff(30781,plain,
% 42.91/28.56 (v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2))),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30780, 423, 30762])).
% 42.91/28.56 tff(30782,plain,
% 42.91/28.56 (v90(constB180, bitIndex2) | (~v90(constB181, bitIndex2))),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30781, 30774])).
% 42.91/28.56 tff(30783,plain,
% 42.91/28.56 (~v90(constB181, bitIndex2)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30782, 30756])).
% 42.91/28.56 tff(30784,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB179)) | v130(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB179)) | v130(constB179, bitIndex1))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30785,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB179)) | v130(constB179, bitIndex1))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30786,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB179)) | v130(constB179, bitIndex1)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30785, 30784])).
% 42.91/28.56 tff(30787,plain,
% 42.91/28.56 (v130(constB179, bitIndex1)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30786, 2050, 30640])).
% 42.91/28.56 tff(30788,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30789,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30790,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30789, 30788])).
% 42.91/28.56 tff(30791,plain,
% 42.91/28.56 ((~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30790, 1144, 30679])).
% 42.91/28.56 tff(30792,plain,
% 42.91/28.56 (v127(constB179, bitIndex1)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30791, 30787])).
% 42.91/28.56 tff(30793,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30794,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30795,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30794, 30793])).
% 42.91/28.56 tff(30796,plain,
% 42.91/28.56 ((~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30795, 1159, 30697])).
% 42.91/28.56 tff(30797,plain,
% 42.91/28.56 (v129(constB180, bitIndex1)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30796, 30792])).
% 42.91/28.56 tff(30798,plain,
% 42.91/28.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30799,plain,
% 42.91/28.56 ((v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1))) <=> (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30800,plain,
% 42.91/28.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30799])).
% 42.91/28.56 tff(30801,plain,
% 42.91/28.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30800, 30798])).
% 42.91/28.56 tff(30802,plain,
% 42.91/28.56 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30803,plain,
% 42.91/28.56 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30802, 30801])).
% 42.91/28.56 tff(30804,plain,
% 42.91/28.56 (v90(constB180, bitIndex1) | (~v100(constB180))),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30803, 1174, 30797])).
% 42.91/28.56 tff(30805,plain,
% 42.91/28.56 (v90(constB180, bitIndex1)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30804, 30734])).
% 42.91/28.56 tff(30806,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30807,plain,
% 42.91/28.56 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)) <=> ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30808,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30807])).
% 42.91/28.56 tff(30809,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30808, 30806])).
% 42.91/28.56 tff(30810,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30811,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30810, 30809])).
% 42.91/28.56 tff(30812,plain,
% 42.91/28.56 ((~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30811, 1192, 30762])).
% 42.91/28.56 tff(30813,plain,
% 42.91/28.56 ((~v90(constB180, bitIndex1)) | v90(constB181, bitIndex1)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30812, 30774])).
% 42.91/28.56 tff(30814,plain,
% 42.91/28.56 (v90(constB181, bitIndex1)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30813, 30805])).
% 42.91/28.56 tff(30815,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB179)) | v130(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB179)) | v130(constB179, bitIndex0))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30816,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB179)) | v130(constB179, bitIndex0))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30817,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB179)) | v130(constB179, bitIndex0)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30816, 30815])).
% 42.91/28.56 tff(30818,plain,
% 42.91/28.56 (v130(constB179, bitIndex0)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30817, 2088, 30640])).
% 42.91/28.56 tff(30819,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30820,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30821,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30820, 30819])).
% 42.91/28.56 tff(30822,plain,
% 42.91/28.56 ((~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30821, 1552, 30679])).
% 42.91/28.56 tff(30823,plain,
% 42.91/28.56 (v127(constB179, bitIndex0)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30822, 30818])).
% 42.91/28.56 tff(30824,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30825,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30826,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30825, 30824])).
% 42.91/28.56 tff(30827,plain,
% 42.91/28.56 ((~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30826, 1567, 30697])).
% 42.91/28.56 tff(30828,plain,
% 42.91/28.56 (v129(constB180, bitIndex0)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30827, 30823])).
% 42.91/28.56 tff(30829,plain,
% 42.91/28.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30830,plain,
% 42.91/28.56 ((v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0))) <=> (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30831,plain,
% 42.91/28.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180))))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30830])).
% 42.91/28.56 tff(30832,plain,
% 42.91/28.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30831, 30829])).
% 42.91/28.56 tff(30833,plain,
% 42.91/28.56 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30834,plain,
% 42.91/28.56 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30833, 30832])).
% 42.91/28.56 tff(30835,plain,
% 42.91/28.56 (v90(constB180, bitIndex0) | (~v100(constB180))),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30834, 1582, 30828])).
% 42.91/28.56 tff(30836,plain,
% 42.91/28.56 (v90(constB180, bitIndex0)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30835, 30734])).
% 42.91/28.56 tff(30837,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30838,plain,
% 42.91/28.56 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0)) <=> ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30839,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0)))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30838])).
% 42.91/28.56 tff(30840,plain,
% 42.91/28.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30839, 30837])).
% 42.91/28.56 tff(30841,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30842,plain,
% 42.91/28.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30841, 30840])).
% 42.91/28.56 tff(30843,plain,
% 42.91/28.56 ((~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30842, 1600, 30762])).
% 42.91/28.56 tff(30844,plain,
% 42.91/28.56 ((~v90(constB180, bitIndex0)) | v90(constB181, bitIndex0)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30843, 30774])).
% 42.91/28.56 tff(30845,plain,
% 42.91/28.56 (v90(constB181, bitIndex0)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30844, 30836])).
% 42.91/28.56 tff(30846,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30847,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30848,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30847, 30846])).
% 42.91/28.56 tff(30849,plain,
% 42.91/28.56 (v122(constB181)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30848, 2129, 30845, 30814, 30783])).
% 42.91/28.56 tff(30850,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB181) | (~v122(constB181)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB181) | (~v122(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30851,plain,
% 42.91/28.56 (((~v122(constB181)) | v116(constB181)) <=> (v116(constB181) | (~v122(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30852,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB181)) | v116(constB181))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB181) | (~v122(constB181))))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30851])).
% 42.91/28.56 tff(30853,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB181)) | v116(constB181))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB181) | (~v122(constB181)))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30852, 30850])).
% 42.91/28.56 tff(30854,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB181)) | v116(constB181))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30855,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB181) | (~v122(constB181))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30854, 30853])).
% 42.91/28.56 tff(30856,plain,
% 42.91/28.56 (v116(constB181)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30855, 2140, 30849])).
% 42.91/28.56 tff(30857,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB181) | (~v116(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30858,plain,
% 42.91/28.56 (((~v116(constB181)) | v115(constB181)) <=> (v115(constB181) | (~v116(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30859,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB181)) | v115(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB181) | (~v116(constB181))))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30858])).
% 42.91/28.56 tff(30860,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB181)) | v115(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB181) | (~v116(constB181)))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30859, 30857])).
% 42.91/28.56 tff(30861,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB181)) | v115(constB181))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30862,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB181) | (~v116(constB181))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30861, 30860])).
% 42.91/28.56 tff(30863,plain,
% 42.91/28.56 (v115(constB181)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30862, 539, 30856])).
% 42.91/28.56 tff(30864,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB181) | (~v115(constB181)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB181) | (~v115(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30865,plain,
% 42.91/28.56 (((~v115(constB181)) | v114(constB181)) <=> (v114(constB181) | (~v115(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30866,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB181)) | v114(constB181))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB181) | (~v115(constB181))))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30865])).
% 42.91/28.56 tff(30867,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB181)) | v114(constB181))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB181) | (~v115(constB181)))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30866, 30864])).
% 42.91/28.56 tff(30868,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB181)) | v114(constB181))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30869,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB181) | (~v115(constB181))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30868, 30867])).
% 42.91/28.56 tff(30870,plain,
% 42.91/28.56 (v114(constB181)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30869, 553, 30863])).
% 42.91/28.56 tff(30871,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB181) | (~v114(constB181)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v114(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30872,plain,
% 42.91/28.56 (((~v114(constB181)) | v113(constB181)) <=> (v113(constB181) | (~v114(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30873,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB181) | (~v114(constB181))))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30872])).
% 42.91/28.56 tff(30874,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v114(constB181)))),
% 42.91/28.56 inference(transitivity,[status(thm)],[30873, 30871])).
% 42.91/28.56 tff(30875,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB181)) | v113(constB181))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30876,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v114(constB181))),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30875, 30874])).
% 42.91/28.56 tff(30877,plain,
% 42.91/28.56 (v113(constB181)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30876, 567, 30870])).
% 42.91/28.56 tff(30878,assumption,(v26(constB181)), introduced(assumption)).
% 42.91/28.56 tff(30879,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB181))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30880,plain,
% 42.91/28.56 ($false),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30879, 95, 30878])).
% 42.91/28.56 tff(30881,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.56 tff(30882,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30883,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 42.91/28.56 inference(quant_inst,[status(thm)],[])).
% 42.91/28.56 tff(30884,plain,
% 42.91/28.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181)),
% 42.91/28.56 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 42.91/28.56 tff(30885,plain,
% 42.91/28.56 ((~v113(constB181)) | v112(constB181)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30884, 581, 30881])).
% 42.91/28.56 tff(30886,plain,
% 42.91/28.56 (v112(constB181)),
% 42.91/28.56 inference(unit_resolution,[status(thm)],[30885, 30877])).
% 42.91/28.56 tff(30887,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30888,plain,
% 42.91/28.56 (((~v112(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v112(constB181)))),
% 42.91/28.56 inference(rewrite,[status(thm)],[])).
% 42.91/28.56 tff(30889,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181))))),
% 42.91/28.56 inference(monotonicity,[status(thm)],[30888])).
% 42.91/28.56 tff(30890,plain,
% 42.91/28.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 42.91/28.57 inference(transitivity,[status(thm)],[30889, 30887])).
% 42.91/28.57 tff(30891,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30892,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30891, 30890])).
% 42.91/28.57 tff(30893,plain,
% 42.91/28.57 (v108(constB181)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30892, 746, 30886])).
% 42.91/28.57 tff(30894,plain,
% 42.91/28.57 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30895,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 42.91/28.57 tff(30896,plain,
% 42.91/28.57 (nextState(constB181, constB182)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30895, 30894])).
% 42.91/28.57 tff(30897,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30898,plain,
% 42.91/28.57 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30899,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[30898])).
% 42.91/28.57 tff(30900,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 42.91/28.57 inference(transitivity,[status(thm)],[30899, 30897])).
% 42.91/28.57 tff(30901,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30902,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30901, 30900])).
% 42.91/28.57 tff(30903,plain,
% 42.91/28.57 (v110(constB182) | (~v108(constB181))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30902, 731, 30896])).
% 42.91/28.57 tff(30904,plain,
% 42.91/28.57 (v110(constB182)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30903, 30893])).
% 42.91/28.57 tff(30905,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30906,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30907,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30906, 30905])).
% 42.91/28.57 tff(30908,plain,
% 42.91/28.57 (~v104(constB182)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30907, 659, 30896, 30759])).
% 42.91/28.57 tff(30909,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30910,plain,
% 42.91/28.57 (((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)) <=> ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30911,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182)))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[30910])).
% 42.91/28.57 tff(30912,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 42.91/28.57 inference(transitivity,[status(thm)],[30911, 30909])).
% 42.91/28.57 tff(30913,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30914,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30913, 30912])).
% 42.91/28.57 tff(30915,plain,
% 42.91/28.57 (v104(constB182) | v102(constB182)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30914, 673, 30896])).
% 42.91/28.57 tff(30916,plain,
% 42.91/28.57 (v102(constB182)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30915, 30908])).
% 42.91/28.57 tff(30917,plain,
% 42.91/28.57 (v1(constB182) <=> v1(constB182)),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30918,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 42.91/28.57 tff(30919,plain,
% 42.91/28.57 (v1(constB182)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30918, 30917])).
% 42.91/28.57 tff(30920,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30921,plain,
% 42.91/28.57 (((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))) <=> ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30922,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182))))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[30921])).
% 42.91/28.57 tff(30923,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 42.91/28.57 inference(transitivity,[status(thm)],[30922, 30920])).
% 42.91/28.57 tff(30924,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30925,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30924, 30923])).
% 42.91/28.57 tff(30926,plain,
% 42.91/28.57 (v101(constB182) | (~v102(constB182))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30925, 694, 30896, 30919])).
% 42.91/28.57 tff(30927,plain,
% 42.91/28.57 (v101(constB182)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30926, 30916])).
% 42.91/28.57 tff(30928,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30929,plain,
% 42.91/28.57 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30930,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[30929])).
% 42.91/28.57 tff(30931,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 42.91/28.57 inference(transitivity,[status(thm)],[30930, 30928])).
% 42.91/28.57 tff(30932,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30933,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30932, 30931])).
% 42.91/28.57 tff(30934,plain,
% 42.91/28.57 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30933, 712, 30896])).
% 42.91/28.57 tff(30935,plain,
% 42.91/28.57 (v100(constB182) | (~v110(constB182))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30934, 30927])).
% 42.91/28.57 tff(30936,plain,
% 42.91/28.57 (v100(constB182)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30935, 30904])).
% 42.91/28.57 tff(30937,plain,
% 42.91/28.57 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB181)) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB181)) | v130(constB181, bitIndex2))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30938,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB181)) | v130(constB181, bitIndex2))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30939,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB181)) | v130(constB181, bitIndex2)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30938, 30937])).
% 42.91/28.57 tff(30940,plain,
% 42.91/28.57 (v130(constB181, bitIndex2)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30939, 2224, 30849])).
% 42.91/28.57 tff(30941,plain,
% 42.91/28.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30942,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30943,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30942, 30941])).
% 42.91/28.57 tff(30944,plain,
% 42.91/28.57 ((~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30943, 607, 30881])).
% 42.91/28.57 tff(30945,plain,
% 42.91/28.57 (v127(constB181, bitIndex2)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30944, 30940])).
% 42.91/28.57 tff(30946,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30947,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30948,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30947, 30946])).
% 42.91/28.57 tff(30949,plain,
% 42.91/28.57 ((~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30948, 625, 30896])).
% 42.91/28.57 tff(30950,plain,
% 42.91/28.57 (v129(constB182, bitIndex2)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30949, 30945])).
% 42.91/28.57 tff(30951,plain,
% 42.91/28.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30952,plain,
% 42.91/28.57 ((v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2))) <=> (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30953,plain,
% 42.91/28.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182))))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[30952])).
% 42.91/28.57 tff(30954,plain,
% 42.91/28.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 42.91/28.57 inference(transitivity,[status(thm)],[30953, 30951])).
% 42.91/28.57 tff(30955,plain,
% 42.91/28.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30956,plain,
% 42.91/28.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30955, 30954])).
% 42.91/28.57 tff(30957,plain,
% 42.91/28.57 (v90(constB182, bitIndex2) | (~v100(constB182))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30956, 641, 30950])).
% 42.91/28.57 tff(30958,plain,
% 42.91/28.57 (v90(constB182, bitIndex2)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30957, 30936])).
% 42.91/28.57 tff(30959,plain,
% 42.91/28.57 ((~v1(constB183)) <=> (~v1(constB183))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30960,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 42.91/28.57 tff(30961,plain,
% 42.91/28.57 (~v1(constB183)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30960, 30959])).
% 42.91/28.57 tff(30962,plain,
% 42.91/28.57 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30963,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 42.91/28.57 tff(30964,plain,
% 42.91/28.57 (nextState(constB182, constB183)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30963, 30962])).
% 42.91/28.57 tff(30965,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30966,plain,
% 42.91/28.57 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30967,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[30966])).
% 42.91/28.57 tff(30968,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 42.91/28.57 inference(transitivity,[status(thm)],[30967, 30965])).
% 42.91/28.57 tff(30969,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30970,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30969, 30968])).
% 42.91/28.57 tff(30971,plain,
% 42.91/28.57 (~v101(constB183)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30970, 391, 30964, 30961])).
% 42.91/28.57 tff(30972,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30973,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30974,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30973, 30972])).
% 42.91/28.57 tff(30975,plain,
% 42.91/28.57 (v101(constB183) | (~v100(constB183))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30974, 408, 30964])).
% 42.91/28.57 tff(30976,plain,
% 42.91/28.57 (~v100(constB183)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30975, 30971])).
% 42.91/28.57 tff(30977,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30978,plain,
% 42.91/28.57 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2)) <=> ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30979,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2)))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[30978])).
% 42.91/28.57 tff(30980,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 42.91/28.57 inference(transitivity,[status(thm)],[30979, 30977])).
% 42.91/28.57 tff(30981,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30982,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30981, 30980])).
% 42.91/28.57 tff(30983,plain,
% 42.91/28.57 ((~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30982, 783, 30964])).
% 42.91/28.57 tff(30984,plain,
% 42.91/28.57 ((~v90(constB182, bitIndex2)) | v90(constB183, bitIndex2)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30983, 30976])).
% 42.91/28.57 tff(30985,plain,
% 42.91/28.57 (v90(constB183, bitIndex2)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30984, 30958])).
% 42.91/28.57 tff(30986,plain,
% 42.91/28.57 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB181)) | (~v130(constB181, bitIndex1)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30987,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex1)))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30988,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB181)) | (~v130(constB181, bitIndex1))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30987, 30986])).
% 42.91/28.57 tff(30989,plain,
% 42.91/28.57 (~v130(constB181, bitIndex1)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30988, 2281, 30849])).
% 42.91/28.57 tff(30990,plain,
% 42.91/28.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30991,plain,
% 42.91/28.57 ((v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1))) <=> ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30992,plain,
% 42.91/28.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[30991])).
% 42.91/28.57 tff(30993,plain,
% 42.91/28.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 42.91/28.57 inference(transitivity,[status(thm)],[30992, 30990])).
% 42.91/28.57 tff(30994,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(30995,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30994, 30993])).
% 42.91/28.57 tff(30996,plain,
% 42.91/28.57 ((~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30995, 823, 30881])).
% 42.91/28.57 tff(30997,plain,
% 42.91/28.57 (~v127(constB181, bitIndex1)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[30996, 30989])).
% 42.91/28.57 tff(30998,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(30999,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(31000,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[30999, 30998])).
% 42.91/28.57 tff(31001,plain,
% 42.91/28.57 (v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[31000, 853, 30896])).
% 42.91/28.57 tff(31002,plain,
% 42.91/28.57 (~v129(constB182, bitIndex1)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[31001, 30997])).
% 42.91/28.57 tff(31003,plain,
% 42.91/28.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(31004,plain,
% 42.91/28.57 (((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(31005,plain,
% 42.91/28.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[31004])).
% 42.91/28.57 tff(31006,plain,
% 42.91/28.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 42.91/28.57 inference(transitivity,[status(thm)],[31005, 31003])).
% 42.91/28.57 tff(31007,plain,
% 42.91/28.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(31008,plain,
% 42.91/28.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[31007, 31006])).
% 42.91/28.57 tff(31009,plain,
% 42.91/28.57 ((~v90(constB182, bitIndex1)) | (~v100(constB182))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[31008, 868, 31002])).
% 42.91/28.57 tff(31010,plain,
% 42.91/28.57 (~v90(constB182, bitIndex1)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[31009, 30936])).
% 42.91/28.57 tff(31011,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(31012,plain,
% 42.91/28.57 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(31013,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))))),
% 42.91/28.57 inference(monotonicity,[status(thm)],[31012])).
% 42.91/28.57 tff(31014,plain,
% 42.91/28.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 42.91/28.57 inference(transitivity,[status(thm)],[31013, 31011])).
% 42.91/28.57 tff(31015,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.57 tff(31016,plain,
% 42.91/28.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 42.91/28.57 inference(modus_ponens,[status(thm)],[31015, 31014])).
% 42.91/28.57 tff(31017,plain,
% 42.91/28.57 (v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[31016, 444, 30964])).
% 42.91/28.57 tff(31018,plain,
% 42.91/28.57 (v90(constB182, bitIndex1) | (~v90(constB183, bitIndex1))),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[31017, 30976])).
% 42.91/28.57 tff(31019,plain,
% 42.91/28.57 (~v90(constB183, bitIndex1)),
% 42.91/28.57 inference(unit_resolution,[status(thm)],[31018, 31010])).
% 42.91/28.57 tff(31020,plain,
% 42.91/28.57 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB181)) | (~v130(constB181, bitIndex0)))),
% 42.91/28.57 inference(rewrite,[status(thm)],[])).
% 42.91/28.57 tff(31021,plain,
% 42.91/28.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex0)))),
% 42.91/28.57 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31022,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB181)) | (~v130(constB181, bitIndex0))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31021, 31020])).
% 42.91/28.58 tff(31023,plain,
% 42.91/28.58 (~v130(constB181, bitIndex0)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31022, 2327, 30849])).
% 42.91/28.58 tff(31024,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31025,plain,
% 42.91/28.58 ((v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0))) <=> ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31026,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0)))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31025])).
% 42.91/28.58 tff(31027,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31026, 31024])).
% 42.91/28.58 tff(31028,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31029,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31028, 31027])).
% 42.91/28.58 tff(31030,plain,
% 42.91/28.58 ((~v127(constB181, bitIndex0)) | v130(constB181, bitIndex0)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31029, 907, 30881])).
% 42.91/28.58 tff(31031,plain,
% 42.91/28.58 (~v127(constB181, bitIndex0)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31030, 31023])).
% 42.91/28.58 tff(31032,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31033,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31034,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31033, 31032])).
% 42.91/28.58 tff(31035,plain,
% 42.91/28.58 (v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0))),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31034, 937, 30896])).
% 42.91/28.58 tff(31036,plain,
% 42.91/28.58 (~v129(constB182, bitIndex0)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31035, 31031])).
% 42.91/28.58 tff(31037,plain,
% 42.91/28.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31038,plain,
% 42.91/28.58 (((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31039,plain,
% 42.91/28.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182))))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31038])).
% 42.91/28.58 tff(31040,plain,
% 42.91/28.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31039, 31037])).
% 42.91/28.58 tff(31041,plain,
% 42.91/28.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31042,plain,
% 42.91/28.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31041, 31040])).
% 42.91/28.58 tff(31043,plain,
% 42.91/28.58 ((~v90(constB182, bitIndex0)) | (~v100(constB182))),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31042, 952, 31036])).
% 42.91/28.58 tff(31044,plain,
% 42.91/28.58 (~v90(constB182, bitIndex0)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31043, 30936])).
% 42.91/28.58 tff(31045,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31046,plain,
% 42.91/28.58 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31047,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0))))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31046])).
% 42.91/28.58 tff(31048,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31047, 31045])).
% 42.91/28.58 tff(31049,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31050,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31049, 31048])).
% 42.91/28.58 tff(31051,plain,
% 42.91/28.58 (v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0))),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31050, 465, 30964])).
% 42.91/28.58 tff(31052,plain,
% 42.91/28.58 (v90(constB182, bitIndex0) | (~v90(constB183, bitIndex0))),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31051, 30976])).
% 42.91/28.58 tff(31053,plain,
% 42.91/28.58 (~v90(constB183, bitIndex0)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31052, 31044])).
% 42.91/28.58 tff(31054,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31055,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31056,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31055, 31054])).
% 42.91/28.58 tff(31057,plain,
% 42.91/28.58 (v123(constB183)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31056, 979, 31053, 31019, 30985])).
% 42.91/28.58 tff(31058,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB183)) | v130(constB183, bitIndex2))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31059,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB183)) | v130(constB183, bitIndex2))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31060,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB183)) | v130(constB183, bitIndex2)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31059, 31058])).
% 42.91/28.58 tff(31061,plain,
% 42.91/28.58 (v130(constB183, bitIndex2)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31060, 1074, 31057])).
% 42.91/28.58 tff(31062,assumption,(v26(constB183)), introduced(assumption)).
% 42.91/28.58 tff(31063,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31064,plain,
% 42.91/28.58 ($false),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31063, 95, 31062])).
% 42.91/28.58 tff(31065,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.58 tff(31066,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31067,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31068,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31067, 31066])).
% 42.91/28.58 tff(31069,plain,
% 42.91/28.58 ((~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31068, 607, 31065])).
% 42.91/28.58 tff(31070,plain,
% 42.91/28.58 (v127(constB183, bitIndex2)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31069, 31061])).
% 42.91/28.58 tff(31071,plain,
% 42.91/28.58 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31072,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 42.91/28.58 tff(31073,plain,
% 42.91/28.58 (nextState(constB183, constB184)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31072, 31071])).
% 42.91/28.58 tff(31074,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31075,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31076,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31075, 31074])).
% 42.91/28.58 tff(31077,plain,
% 42.91/28.58 ((~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31076, 625, 31073])).
% 42.91/28.58 tff(31078,plain,
% 42.91/28.58 (v129(constB184, bitIndex2)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31077, 31070])).
% 42.91/28.58 tff(31079,assumption,(~v100(constB184)), introduced(assumption)).
% 42.91/28.58 tff(31080,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31081,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31082,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31081, 31080])).
% 42.91/28.58 tff(31083,plain,
% 42.91/28.58 (~v104(constB184)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31082, 659, 31073, 30961])).
% 42.91/28.58 tff(31084,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31085,plain,
% 42.91/28.58 (((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)) <=> ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31086,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184)))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31085])).
% 42.91/28.58 tff(31087,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31086, 31084])).
% 42.91/28.58 tff(31088,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31089,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31088, 31087])).
% 42.91/28.58 tff(31090,plain,
% 42.91/28.58 (v104(constB184) | v102(constB184)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31089, 673, 31073])).
% 42.91/28.58 tff(31091,plain,
% 42.91/28.58 (v102(constB184)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31090, 31083])).
% 42.91/28.58 tff(31092,plain,
% 42.91/28.58 (v1(constB184) <=> v1(constB184)),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31093,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 42.91/28.58 tff(31094,plain,
% 42.91/28.58 (v1(constB184)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31093, 31092])).
% 42.91/28.58 tff(31095,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31096,plain,
% 42.91/28.58 (((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))) <=> ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31097,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184))))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31096])).
% 42.91/28.58 tff(31098,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31097, 31095])).
% 42.91/28.58 tff(31099,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31100,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31099, 31098])).
% 42.91/28.58 tff(31101,plain,
% 42.91/28.58 (v101(constB184) | (~v102(constB184))),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31100, 694, 31073, 31094])).
% 42.91/28.58 tff(31102,plain,
% 42.91/28.58 (v101(constB184)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31101, 31091])).
% 42.91/28.58 tff(31103,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31104,plain,
% 42.91/28.58 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31105,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31104])).
% 42.91/28.58 tff(31106,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31105, 31103])).
% 42.91/28.58 tff(31107,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31108,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31107, 31106])).
% 42.91/28.58 tff(31109,plain,
% 42.91/28.58 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31108, 712, 31073])).
% 42.91/28.58 tff(31110,plain,
% 42.91/28.58 (v100(constB184) | (~v110(constB184))),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31109, 31102])).
% 42.91/28.58 tff(31111,plain,
% 42.91/28.58 (~v110(constB184)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31110, 31079])).
% 42.91/28.58 tff(31112,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31113,plain,
% 42.91/28.58 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31114,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31113])).
% 42.91/28.58 tff(31115,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31114, 31112])).
% 42.91/28.58 tff(31116,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31117,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 42.91/28.58 tff(31118,plain,
% 42.91/28.58 (v110(constB184) | (~v108(constB183))),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31117, 731, 31073])).
% 42.91/28.58 tff(31119,plain,
% 42.91/28.58 (~v108(constB183)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31118, 31111])).
% 42.91/28.58 tff(31120,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31121,plain,
% 42.91/28.58 (((~v112(constB183)) | v108(constB183)) <=> (v108(constB183) | (~v112(constB183)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31122,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183))))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31121])).
% 42.91/28.58 tff(31123,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31122, 31120])).
% 42.91/28.58 tff(31124,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31125,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31124, 31123])).
% 42.91/28.58 tff(31126,plain,
% 42.91/28.58 (~v112(constB183)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31125, 746, 31119])).
% 42.91/28.58 tff(31127,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31128,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31129,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31128, 31127])).
% 42.91/28.58 tff(31130,plain,
% 42.91/28.58 ((~v113(constB183)) | v112(constB183)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31129, 581, 31065])).
% 42.91/28.58 tff(31131,plain,
% 42.91/28.58 (~v113(constB183)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31130, 31126])).
% 42.91/28.58 tff(31132,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB183)) | v113(constB183))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31133,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31134,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB183)) | v113(constB183)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31133, 31132])).
% 42.91/28.58 tff(31135,plain,
% 42.91/28.58 (~v114(constB183)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31134, 567, 31131])).
% 42.91/28.58 tff(31136,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB183)) | v114(constB183))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31137,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB183)) | v114(constB183))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31138,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB183)) | v114(constB183)),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31137, 31136])).
% 42.91/28.58 tff(31139,plain,
% 42.91/28.58 (~v124(constB183)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31138, 15276, 31135])).
% 42.91/28.58 tff(31140,assumption,(~v90(constB183, bitIndex1)), introduced(assumption)).
% 42.91/28.58 tff(31141,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31142,plain,
% 42.91/28.58 (((~v115(constB183)) | v114(constB183)) <=> (v114(constB183) | (~v115(constB183)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31143,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183))))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31142])).
% 42.91/28.58 tff(31144,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31143, 31141])).
% 42.91/28.58 tff(31145,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31146,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31145, 31144])).
% 42.91/28.58 tff(31147,plain,
% 42.91/28.58 (~v115(constB183)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31146, 553, 31135])).
% 42.91/28.58 tff(31148,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB183) | (~v123(constB183)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v123(constB183)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31149,plain,
% 42.91/28.58 (((~v123(constB183)) | v115(constB183)) <=> (v115(constB183) | (~v123(constB183)))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31150,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB183) | (~v123(constB183))))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31149])).
% 42.91/28.58 tff(31151,plain,
% 42.91/28.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v123(constB183)))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31150, 31148])).
% 42.91/28.58 tff(31152,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB183)) | v115(constB183))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31153,plain,
% 42.91/28.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v123(constB183))),
% 42.91/28.58 inference(modus_ponens,[status(thm)],[31152, 31151])).
% 42.91/28.58 tff(31154,plain,
% 42.91/28.58 (~v123(constB183)),
% 42.91/28.58 inference(unit_resolution,[status(thm)],[31153, 990, 31147])).
% 42.91/28.58 tff(31155,assumption,(~v90(constB184, bitIndex0)), introduced(assumption)).
% 42.91/28.58 tff(31156,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31157,plain,
% 42.91/28.58 (((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0)) <=> ((~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))),
% 42.91/28.58 inference(rewrite,[status(thm)],[])).
% 42.91/28.58 tff(31158,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0)))),
% 42.91/28.58 inference(monotonicity,[status(thm)],[31157])).
% 42.91/28.58 tff(31159,plain,
% 42.91/28.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0))),
% 42.91/28.58 inference(transitivity,[status(thm)],[31158, 31156])).
% 42.91/28.58 tff(31160,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0))),
% 42.91/28.58 inference(quant_inst,[status(thm)],[])).
% 42.91/28.58 tff(31161,plain,
% 42.91/28.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB183, bitIndex0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex0)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31160, 31159])).
% 42.91/28.59 tff(31162,plain,
% 42.91/28.59 ((~v90(constB183, bitIndex0)) | v100(constB184) | v90(constB184, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31161, 1600, 31073])).
% 42.91/28.59 tff(31163,plain,
% 42.91/28.59 (~v90(constB183, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31162, 31155, 31079])).
% 42.91/28.59 tff(31164,assumption,(~v90(constB184, bitIndex2)), introduced(assumption)).
% 42.91/28.59 tff(31165,plain,
% 42.91/28.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31166,plain,
% 42.91/28.59 (((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2)) <=> ((~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31167,plain,
% 42.91/28.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2)))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31166])).
% 42.91/28.59 tff(31168,plain,
% 42.91/28.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31167, 31165])).
% 42.91/28.59 tff(31169,plain,
% 42.91/28.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31170,plain,
% 42.91/28.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB183, bitIndex2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex2)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31169, 31168])).
% 42.91/28.59 tff(31171,plain,
% 42.91/28.59 ((~v90(constB183, bitIndex2)) | v100(constB184) | v90(constB184, bitIndex2)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31170, 783, 31073])).
% 42.91/28.59 tff(31172,plain,
% 42.91/28.59 (~v90(constB183, bitIndex2)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31171, 31079, 31164])).
% 42.91/28.59 tff(31173,assumption,(~v90(constB184, bitIndex1)), introduced(assumption)).
% 42.91/28.59 tff(31174,plain,
% 42.91/28.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31175,plain,
% 42.91/28.59 (((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1)) <=> ((~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31176,plain,
% 42.91/28.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1)))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31175])).
% 42.91/28.59 tff(31177,plain,
% 42.91/28.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31176, 31174])).
% 42.91/28.59 tff(31178,plain,
% 42.91/28.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31179,plain,
% 42.91/28.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB183, bitIndex1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, bitIndex1)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31178, 31177])).
% 42.91/28.59 tff(31180,plain,
% 42.91/28.59 ((~v90(constB183, bitIndex1)) | v100(constB184) | v90(constB184, bitIndex1)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31179, 1192, 31073])).
% 42.91/28.59 tff(31181,plain,
% 42.91/28.59 (~v90(constB183, bitIndex1)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31180, 31079, 31173])).
% 42.91/28.59 tff(31182,plain,
% 42.91/28.59 (~v90(constB183, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31162, 31079, 31155])).
% 42.91/28.59 tff(31183,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v119(constB183))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v119(constB183))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31184,plain,
% 42.91/28.59 ((v90(constB183, bitIndex0) | v119(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)) <=> (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v119(constB183))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31185,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB183, bitIndex0) | v119(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v119(constB183)))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31184])).
% 42.91/28.59 tff(31186,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB183, bitIndex0) | v119(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v119(constB183))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31185, 31183])).
% 42.91/28.59 tff(31187,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB183, bitIndex0) | v119(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31188,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v119(constB183)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31187, 31186])).
% 42.91/28.59 tff(31189,plain,
% 42.91/28.59 (v119(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31188, 486, 31182, 31181, 31172])).
% 42.91/28.59 tff(31190,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v119(constB183)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v119(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31191,plain,
% 42.91/28.59 (((~v119(constB183)) | v118(constB183)) <=> (v118(constB183) | (~v119(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31192,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v119(constB183))))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31191])).
% 42.91/28.59 tff(31193,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v119(constB183)))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31192, 31190])).
% 42.91/28.59 tff(31194,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31195,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v119(constB183))),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31194, 31193])).
% 42.91/28.59 tff(31196,plain,
% 42.91/28.59 (v118(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31195, 500, 31189])).
% 42.91/28.59 tff(31197,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31198,plain,
% 42.91/28.59 (((~v118(constB183)) | v117(constB183)) <=> (v117(constB183) | (~v118(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31199,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v118(constB183))))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31198])).
% 42.91/28.59 tff(31200,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183)))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31199, 31197])).
% 42.91/28.59 tff(31201,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31202,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183))),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31201, 31200])).
% 42.91/28.59 tff(31203,plain,
% 42.91/28.59 (v117(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31202, 511, 31196])).
% 42.91/28.59 tff(31204,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31205,plain,
% 42.91/28.59 (((~v117(constB183)) | v116(constB183)) <=> (v116(constB183) | (~v117(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31206,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183))))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31205])).
% 42.91/28.59 tff(31207,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31206, 31204])).
% 42.91/28.59 tff(31208,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31209,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183))),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31208, 31207])).
% 42.91/28.59 tff(31210,plain,
% 42.91/28.59 (v116(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31209, 525, 31203])).
% 42.91/28.59 tff(31211,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v26(constB183)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v26(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31212,plain,
% 42.91/28.59 (((~v26(constB183)) | v108(constB183)) <=> (v108(constB183) | (~v26(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31213,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v26(constB183))))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31212])).
% 42.91/28.59 tff(31214,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v26(constB183)))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31213, 31211])).
% 42.91/28.59 tff(31215,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB183)) | v108(constB183))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31216,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v26(constB183))),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31215, 31214])).
% 42.91/28.59 tff(31217,plain,
% 42.91/28.59 (~v26(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31216, 1925, 31119])).
% 42.91/28.59 tff(31218,plain,
% 42.91/28.59 (~v113(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31129, 581, 31217, 31126])).
% 42.91/28.59 tff(31219,plain,
% 42.91/28.59 (~v114(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31134, 567, 31218])).
% 42.91/28.59 tff(31220,plain,
% 42.91/28.59 (~v115(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31146, 553, 31219])).
% 42.91/28.59 tff(31221,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB183) | (~v116(constB183)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v116(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31222,plain,
% 42.91/28.59 (((~v116(constB183)) | v115(constB183)) <=> (v115(constB183) | (~v116(constB183)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31223,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB183) | (~v116(constB183))))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31222])).
% 42.91/28.59 tff(31224,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v116(constB183)))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31223, 31221])).
% 42.91/28.59 tff(31225,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31226,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v116(constB183))),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31225, 31224])).
% 42.91/28.59 tff(31227,plain,
% 42.91/28.59 ($false),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31226, 539, 31220, 31210])).
% 42.91/28.59 tff(31228,plain,(v100(constB184) | v90(constB184, bitIndex2) | v90(constB184, bitIndex1) | v90(constB184, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.59 tff(31229,plain,
% 42.91/28.59 (v100(constB184)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31228, 31173, 31155, 31164])).
% 42.91/28.59 tff(31230,plain,
% 42.91/28.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31231,plain,
% 42.91/28.59 ((v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31232,plain,
% 42.91/28.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184))))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31231])).
% 42.91/28.59 tff(31233,plain,
% 42.91/28.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31232, 31230])).
% 42.91/28.59 tff(31234,plain,
% 42.91/28.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0)))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31235,plain,
% 42.91/28.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184))),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31234, 31233])).
% 42.91/28.59 tff(31236,plain,
% 42.91/28.59 ((~v129(constB184, bitIndex0)) | (~v100(constB184))),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31235, 1582, 31155])).
% 42.91/28.59 tff(31237,plain,
% 42.91/28.59 (~v129(constB184, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31236, 31229])).
% 42.91/28.59 tff(31238,plain,
% 42.91/28.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31239,plain,
% 42.91/28.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31240,plain,
% 42.91/28.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31239, 31238])).
% 42.91/28.59 tff(31241,plain,
% 42.91/28.59 ((~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31240, 1567, 31073])).
% 42.91/28.59 tff(31242,plain,
% 42.91/28.59 (~v127(constB183, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31241, 31237])).
% 42.91/28.59 tff(31243,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31244,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31245,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31244, 31243])).
% 42.91/28.59 tff(31246,plain,
% 42.91/28.59 ((~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31245, 1552, 31065])).
% 42.91/28.59 tff(31247,plain,
% 42.91/28.59 (~v130(constB183, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31246, 31242])).
% 42.91/28.59 tff(31248,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB183)) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB183)) | v130(constB183, bitIndex0))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31249,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB183)) | v130(constB183, bitIndex0))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31250,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB183)) | v130(constB183, bitIndex0)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31249, 31248])).
% 42.91/28.59 tff(31251,plain,
% 42.91/28.59 (~v124(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31250, 4083, 31247])).
% 42.91/28.59 tff(31252,plain,
% 42.91/28.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31253,plain,
% 42.91/28.59 ((v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31254,plain,
% 42.91/28.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31253])).
% 42.91/28.59 tff(31255,plain,
% 42.91/28.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31254, 31252])).
% 42.91/28.59 tff(31256,plain,
% 42.91/28.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31257,plain,
% 42.91/28.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31256, 31255])).
% 42.91/28.59 tff(31258,plain,
% 42.91/28.59 ((~v129(constB184, bitIndex2)) | (~v100(constB184))),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31257, 641, 31164])).
% 42.91/28.59 tff(31259,plain,
% 42.91/28.59 (~v129(constB184, bitIndex2)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31258, 31229])).
% 42.91/28.59 tff(31260,plain,
% 42.91/28.59 (~v127(constB183, bitIndex2)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31077, 31259])).
% 42.91/28.59 tff(31261,plain,
% 42.91/28.59 (~v130(constB183, bitIndex2)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31069, 31260])).
% 42.91/28.59 tff(31262,plain,
% 42.91/28.59 (~v123(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31060, 1074, 31261])).
% 42.91/28.59 tff(31263,plain,
% 42.91/28.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31264,plain,
% 42.91/28.59 ((v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31265,plain,
% 42.91/28.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))))),
% 42.91/28.59 inference(monotonicity,[status(thm)],[31264])).
% 42.91/28.59 tff(31266,plain,
% 42.91/28.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 42.91/28.59 inference(transitivity,[status(thm)],[31265, 31263])).
% 42.91/28.59 tff(31267,plain,
% 42.91/28.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31268,plain,
% 42.91/28.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31267, 31266])).
% 42.91/28.59 tff(31269,plain,
% 42.91/28.59 (~v129(constB184, bitIndex1)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31268, 1174, 31229, 31173])).
% 42.91/28.59 tff(31270,plain,
% 42.91/28.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31271,plain,
% 42.91/28.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31272,plain,
% 42.91/28.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31271, 31270])).
% 42.91/28.59 tff(31273,plain,
% 42.91/28.59 ((~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31272, 1159, 31073])).
% 42.91/28.59 tff(31274,plain,
% 42.91/28.59 (~v127(constB183, bitIndex1)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31273, 31269])).
% 42.91/28.59 tff(31275,assumption,(~v26(constB183)), introduced(assumption)).
% 42.91/28.59 tff(31276,assumption,(~v127(constB183, bitIndex2)), introduced(assumption)).
% 42.91/28.59 tff(31277,plain,
% 42.91/28.59 (v26(constB183) | (~v130(constB183, bitIndex2))),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31068, 607, 31276])).
% 42.91/28.59 tff(31278,plain,
% 42.91/28.59 (~v130(constB183, bitIndex2)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31277, 31275])).
% 42.91/28.59 tff(31279,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB183)) | v130(constB183, bitIndex2))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31280,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB183)) | v130(constB183, bitIndex2))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31281,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB183)) | v130(constB183, bitIndex2)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31280, 31279])).
% 42.91/28.59 tff(31282,plain,
% 42.91/28.59 (~v119(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31281, 593, 31278])).
% 42.91/28.59 tff(31283,assumption,(~v127(constB183, bitIndex1)), introduced(assumption)).
% 42.91/28.59 tff(31284,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31285,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31286,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31285, 31284])).
% 42.91/28.59 tff(31287,plain,
% 42.91/28.59 (v26(constB183) | (~v130(constB183, bitIndex1))),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31286, 1144, 31283])).
% 42.91/28.59 tff(31288,plain,
% 42.91/28.59 (~v130(constB183, bitIndex1)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31287, 31275])).
% 42.91/28.59 tff(31289,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31290,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31291,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31290, 31289])).
% 42.91/28.59 tff(31292,plain,
% 42.91/28.59 (~v120(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31291, 1788, 31288])).
% 42.91/28.59 tff(31293,assumption,(~v127(constB183, bitIndex0)), introduced(assumption)).
% 42.91/28.59 tff(31294,plain,
% 42.91/28.59 (v26(constB183) | (~v130(constB183, bitIndex0))),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31245, 1552, 31293])).
% 42.91/28.59 tff(31295,plain,
% 42.91/28.59 (~v130(constB183, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31294, 31275])).
% 42.91/28.59 tff(31296,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB183)) | v130(constB183, bitIndex1))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31297,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB183)) | v130(constB183, bitIndex1))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31298,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB183)) | v130(constB183, bitIndex1)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31297, 31296])).
% 42.91/28.59 tff(31299,plain,
% 42.91/28.59 (~v121(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31298, 2050, 31288])).
% 42.91/28.59 tff(31300,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB183)) | v130(constB183, bitIndex2))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31301,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB183)) | v130(constB183, bitIndex2))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31302,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB183)) | v130(constB183, bitIndex2)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31301, 31300])).
% 42.91/28.59 tff(31303,plain,
% 42.91/28.59 (~v122(constB183)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31302, 2224, 31278])).
% 42.91/28.59 tff(31304,assumption,(~v123(constB183)), introduced(assumption)).
% 42.91/28.59 tff(31305,assumption,(~v124(constB183)), introduced(assumption)).
% 42.91/28.59 tff(31306,plain,
% 42.91/28.59 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0))),
% 42.91/28.59 inference(rewrite,[status(thm)],[])).
% 42.91/28.59 tff(31307,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0))),
% 42.91/28.59 inference(quant_inst,[status(thm)],[])).
% 42.91/28.59 tff(31308,plain,
% 42.91/28.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0)),
% 42.91/28.59 inference(modus_ponens,[status(thm)],[31307, 31306])).
% 42.91/28.59 tff(31309,plain,
% 42.91/28.59 (v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v130(constB183, bitIndex0)),
% 42.91/28.59 inference(unit_resolution,[status(thm)],[31308, 1538, 31305, 31304])).
% 42.91/28.60 tff(31310,plain,
% 42.91/28.60 ($false),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31309, 31303, 31299, 31295, 31292, 31282])).
% 42.91/28.60 tff(31311,plain,(v26(constB183) | v124(constB183) | v123(constB183) | v127(constB183, bitIndex0) | v127(constB183, bitIndex2) | v127(constB183, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.60 tff(31312,plain,
% 42.91/28.60 ($false),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31311, 31274, 31262, 31065, 31242, 31260, 31251])).
% 42.91/28.60 tff(31313,plain,(v90(constB184, bitIndex1) | v90(constB184, bitIndex0) | v90(constB184, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.60 tff(31314,plain,
% 42.91/28.60 (v90(constB184, bitIndex1)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31313, 31155, 31164])).
% 42.91/28.60 tff(31315,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB183, bitIndex1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB183, bitIndex1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex1)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31316,plain,
% 42.91/28.60 (((~nextState(constB183, constB184)) | v90(constB183, bitIndex1) | v100(constB184) | (~v90(constB184, bitIndex1))) <=> (v90(constB183, bitIndex1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex1)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31317,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB183, constB184)) | v90(constB183, bitIndex1) | v100(constB184) | (~v90(constB184, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB183, bitIndex1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex1))))),
% 42.91/28.60 inference(monotonicity,[status(thm)],[31316])).
% 42.91/28.60 tff(31318,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB183, constB184)) | v90(constB183, bitIndex1) | v100(constB184) | (~v90(constB184, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB183, bitIndex1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex1)))),
% 42.91/28.60 inference(transitivity,[status(thm)],[31317, 31315])).
% 42.91/28.60 tff(31319,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB183, constB184)) | v90(constB183, bitIndex1) | v100(constB184) | (~v90(constB184, bitIndex1)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31320,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB183, bitIndex1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex1))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31319, 31318])).
% 42.91/28.60 tff(31321,plain,
% 42.91/28.60 (v90(constB183, bitIndex1) | v100(constB184) | (~v90(constB184, bitIndex1))),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31320, 444, 31073])).
% 42.91/28.60 tff(31322,plain,
% 42.91/28.60 (v90(constB183, bitIndex1)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31321, 31079, 31314])).
% 42.91/28.60 tff(31323,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | v90(constB183, bitIndex2) | v121(constB183))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | v90(constB183, bitIndex2) | v121(constB183))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31324,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | v90(constB183, bitIndex2) | v121(constB183))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31325,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex1)) | v90(constB183, bitIndex2) | v121(constB183)),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31324, 31323])).
% 42.91/28.60 tff(31326,plain,
% 42.91/28.60 (v121(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31325, 1870, 31182, 31322, 31172])).
% 42.91/28.60 tff(31327,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v121(constB183)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v121(constB183)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31328,plain,
% 42.91/28.60 (((~v121(constB183)) | v117(constB183)) <=> (v117(constB183) | (~v121(constB183)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31329,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v121(constB183))))),
% 42.91/28.60 inference(monotonicity,[status(thm)],[31328])).
% 42.91/28.60 tff(31330,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v121(constB183)))),
% 42.91/28.60 inference(transitivity,[status(thm)],[31329, 31327])).
% 42.91/28.60 tff(31331,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB183)) | v117(constB183))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31332,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v121(constB183))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31331, 31330])).
% 42.91/28.60 tff(31333,plain,
% 42.91/28.60 (v117(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31332, 1881, 31326])).
% 42.91/28.60 tff(31334,plain,
% 42.91/28.60 (v116(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31209, 525, 31333])).
% 42.91/28.60 tff(31335,plain,
% 42.91/28.60 ($false),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31226, 539, 31147, 31334])).
% 42.91/28.60 tff(31336,plain,(v100(constB184) | v90(constB184, bitIndex2) | v90(constB184, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.60 tff(31337,plain,
% 42.91/28.60 (v90(constB184, bitIndex2)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31336, 31155, 31079])).
% 42.91/28.60 tff(31338,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB183, bitIndex2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB183, bitIndex2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex2)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31339,plain,
% 42.91/28.60 (((~nextState(constB183, constB184)) | v90(constB183, bitIndex2) | v100(constB184) | (~v90(constB184, bitIndex2))) <=> (v90(constB183, bitIndex2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex2)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31340,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v90(constB183, bitIndex2) | v100(constB184) | (~v90(constB184, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB183, bitIndex2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex2))))),
% 42.91/28.60 inference(monotonicity,[status(thm)],[31339])).
% 42.91/28.60 tff(31341,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v90(constB183, bitIndex2) | v100(constB184) | (~v90(constB184, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB183, bitIndex2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex2)))),
% 42.91/28.60 inference(transitivity,[status(thm)],[31340, 31338])).
% 42.91/28.60 tff(31342,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v90(constB183, bitIndex2) | v100(constB184) | (~v90(constB184, bitIndex2)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31343,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB183, bitIndex2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex2))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31342, 31341])).
% 42.91/28.60 tff(31344,plain,
% 42.91/28.60 (v90(constB183, bitIndex2) | v100(constB184) | (~v90(constB184, bitIndex2))),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31343, 423, 31073])).
% 42.91/28.60 tff(31345,plain,
% 42.91/28.60 (v90(constB183, bitIndex2)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31344, 31337, 31079])).
% 42.91/28.60 tff(31346,plain,
% 42.91/28.60 (v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2)) | v123(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31056, 979, 31140])).
% 42.91/28.60 tff(31347,plain,
% 42.91/28.60 ($false),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31346, 31345, 31163, 31154])).
% 42.91/28.60 tff(31348,plain,(v90(constB184, bitIndex0) | v90(constB183, bitIndex1) | v100(constB184)), inference(lemma,lemma(discharge,[]))).
% 42.91/28.60 tff(31349,plain,
% 42.91/28.60 (v90(constB184, bitIndex0)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31348, 31079, 31140])).
% 42.91/28.60 tff(31350,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB183, bitIndex0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB183, bitIndex0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex0)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31351,plain,
% 42.91/28.60 (((~nextState(constB183, constB184)) | v90(constB183, bitIndex0) | v100(constB184) | (~v90(constB184, bitIndex0))) <=> (v90(constB183, bitIndex0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex0)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31352,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v90(constB183, bitIndex0) | v100(constB184) | (~v90(constB184, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB183, bitIndex0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex0))))),
% 42.91/28.60 inference(monotonicity,[status(thm)],[31351])).
% 42.91/28.60 tff(31353,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v90(constB183, bitIndex0) | v100(constB184) | (~v90(constB184, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB183, bitIndex0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex0)))),
% 42.91/28.60 inference(transitivity,[status(thm)],[31352, 31350])).
% 42.91/28.60 tff(31354,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v90(constB183, bitIndex0) | v100(constB184) | (~v90(constB184, bitIndex0)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31355,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB183, bitIndex0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, bitIndex0))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31354, 31353])).
% 42.91/28.60 tff(31356,plain,
% 42.91/28.60 (v90(constB183, bitIndex0) | v100(constB184) | (~v90(constB184, bitIndex0))),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31355, 465, 31073])).
% 42.91/28.60 tff(31357,plain,
% 42.91/28.60 (v90(constB183, bitIndex0)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31356, 31349, 31079])).
% 42.91/28.60 tff(31358,plain,
% 42.91/28.60 (~v90(constB184, bitIndex1)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31321, 31079, 31140])).
% 42.91/28.60 tff(31359,assumption,(v90(constB184, bitIndex0)), introduced(assumption)).
% 42.91/28.60 tff(31360,plain,
% 42.91/28.60 (v90(constB183, bitIndex0)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31356, 31079, 31359])).
% 42.91/28.60 tff(31361,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31362,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31363,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31362, 31361])).
% 42.91/28.60 tff(31364,plain,
% 42.91/28.60 ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex2) | v120(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31363, 1619, 31140])).
% 42.91/28.60 tff(31365,plain,
% 42.91/28.60 (v120(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31364, 31172, 31360])).
% 42.91/28.60 tff(31366,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB183)) | v118(constB183))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31367,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31368,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB183)) | v118(constB183)),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31367, 31366])).
% 42.91/28.60 tff(31369,plain,
% 42.91/28.60 (v118(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31368, 1630, 31365])).
% 42.91/28.60 tff(31370,plain,
% 42.91/28.60 (v117(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31202, 511, 31369])).
% 42.91/28.60 tff(31371,plain,
% 42.91/28.60 (v116(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31209, 525, 31370])).
% 42.91/28.60 tff(31372,plain,
% 42.91/28.60 ($false),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31226, 539, 31371, 31147])).
% 42.91/28.60 tff(31373,plain,(v100(constB184) | v90(constB183, bitIndex1) | v90(constB184, bitIndex2) | (~v90(constB184, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 42.91/28.60 tff(31374,plain,
% 42.91/28.60 (v100(constB184)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31373, 31140, 31164, 31359])).
% 42.91/28.60 tff(31375,plain,
% 42.91/28.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31376,plain,
% 42.91/28.60 (((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31377,plain,
% 42.91/28.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))))),
% 42.91/28.60 inference(monotonicity,[status(thm)],[31376])).
% 42.91/28.60 tff(31378,plain,
% 42.91/28.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 42.91/28.60 inference(transitivity,[status(thm)],[31377, 31375])).
% 42.91/28.60 tff(31379,plain,
% 42.91/28.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31380,plain,
% 42.91/28.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31379, 31378])).
% 42.91/28.60 tff(31381,plain,
% 42.91/28.60 (v129(constB184, bitIndex0) | (~v100(constB184))),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31380, 952, 31359])).
% 42.91/28.60 tff(31382,plain,
% 42.91/28.60 (v129(constB184, bitIndex0)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31381, 31374])).
% 42.91/28.60 tff(31383,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31384,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31385,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31384, 31383])).
% 42.91/28.60 tff(31386,plain,
% 42.91/28.60 (v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31385, 937, 31073])).
% 42.91/28.60 tff(31387,plain,
% 42.91/28.60 (v127(constB183, bitIndex0)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31386, 31382])).
% 42.91/28.60 tff(31388,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31389,plain,
% 42.91/28.60 ((v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0))) <=> ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31390,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)))),
% 42.91/28.60 inference(monotonicity,[status(thm)],[31389])).
% 42.91/28.60 tff(31391,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 42.91/28.60 inference(transitivity,[status(thm)],[31390, 31388])).
% 42.91/28.60 tff(31392,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31393,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31392, 31391])).
% 42.91/28.60 tff(31394,plain,
% 42.91/28.60 ((~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31393, 907, 31065])).
% 42.91/28.60 tff(31395,plain,
% 42.91/28.60 (v130(constB183, bitIndex0)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31394, 31387])).
% 42.91/28.60 tff(31396,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB183)) | (~v130(constB183, bitIndex0)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31397,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB183)) | (~v130(constB183, bitIndex0)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31398,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB183)) | (~v130(constB183, bitIndex0))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31397, 31396])).
% 42.91/28.60 tff(31399,plain,
% 42.91/28.60 (~v119(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31398, 893, 31395])).
% 42.91/28.60 tff(31400,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31401,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31402,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31401, 31400])).
% 42.91/28.60 tff(31403,plain,
% 42.91/28.60 (~v120(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31402, 1826, 31395])).
% 42.91/28.60 tff(31404,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB183) | v120(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB183) | v120(constB183) | (~v118(constB183)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31405,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB183) | v120(constB183) | (~v118(constB183)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31406,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB183) | v120(constB183) | (~v118(constB183))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31405, 31404])).
% 42.91/28.60 tff(31407,plain,
% 42.91/28.60 (~v118(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31406, 7710, 31403, 31399])).
% 42.91/28.60 tff(31408,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB183)) | v90(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB183)) | v90(constB183, bitIndex1))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31409,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v121(constB183)) | v90(constB183, bitIndex1))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31410,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v121(constB183)) | v90(constB183, bitIndex1)),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31409, 31408])).
% 42.91/28.60 tff(31411,plain,
% 42.91/28.60 (~v121(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31410, 4128, 31140])).
% 42.91/28.60 tff(31412,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB183) | v121(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB183) | v121(constB183) | (~v117(constB183)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31413,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB183) | v121(constB183) | (~v117(constB183)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31414,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB183) | v121(constB183) | (~v117(constB183))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31413, 31412])).
% 42.91/28.60 tff(31415,plain,
% 42.91/28.60 (v118(constB183) | (~v117(constB183))),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31414, 7847, 31411])).
% 42.91/28.60 tff(31416,plain,
% 42.91/28.60 (~v117(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31415, 31407])).
% 42.91/28.60 tff(31417,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v100(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v100(constB184)))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31418,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v100(constB184)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31419,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v100(constB184))),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31418, 31417])).
% 42.91/28.60 tff(31420,plain,
% 42.91/28.60 (v110(constB184) | (~v100(constB184))),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31419, 3965, 31073])).
% 42.91/28.60 tff(31421,plain,
% 42.91/28.60 (v110(constB184)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31420, 31374])).
% 42.91/28.60 tff(31422,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB183, constB184)) | (~v110(constB184)) | v108(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB183, constB184)) | (~v110(constB184)) | v108(constB183))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31423,plain,
% 42.91/28.60 (((~nextState(constB183, constB184)) | v108(constB183) | (~v110(constB184))) <=> ((~nextState(constB183, constB184)) | (~v110(constB184)) | v108(constB183))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31424,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB183, constB184)) | v108(constB183) | (~v110(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB183, constB184)) | (~v110(constB184)) | v108(constB183)))),
% 42.91/28.60 inference(monotonicity,[status(thm)],[31423])).
% 42.91/28.60 tff(31425,plain,
% 42.91/28.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB183, constB184)) | v108(constB183) | (~v110(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB183, constB184)) | (~v110(constB184)) | v108(constB183))),
% 42.91/28.60 inference(transitivity,[status(thm)],[31424, 31422])).
% 42.91/28.60 tff(31426,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB183, constB184)) | v108(constB183) | (~v110(constB184)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31427,plain,
% 42.91/28.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB183, constB184)) | (~v110(constB184)) | v108(constB183)),
% 42.91/28.60 inference(modus_ponens,[status(thm)],[31426, 31425])).
% 42.91/28.60 tff(31428,plain,
% 42.91/28.60 ((~v110(constB184)) | v108(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31427, 3947, 31073])).
% 42.91/28.60 tff(31429,plain,
% 42.91/28.60 (v108(constB183)),
% 42.91/28.60 inference(unit_resolution,[status(thm)],[31428, 31421])).
% 42.91/28.60 tff(31430,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB183)) | v26(constB183) | v112(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB183)) | v26(constB183) | v112(constB183))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31431,plain,
% 42.91/28.60 ((v26(constB183) | v112(constB183) | (~v108(constB183))) <=> ((~v108(constB183)) | v26(constB183) | v112(constB183))),
% 42.91/28.60 inference(rewrite,[status(thm)],[])).
% 42.91/28.60 tff(31432,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB183) | v112(constB183) | (~v108(constB183)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB183)) | v26(constB183) | v112(constB183)))),
% 42.91/28.60 inference(monotonicity,[status(thm)],[31431])).
% 42.91/28.60 tff(31433,plain,
% 42.91/28.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB183) | v112(constB183) | (~v108(constB183)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB183)) | v26(constB183) | v112(constB183))),
% 42.91/28.60 inference(transitivity,[status(thm)],[31432, 31430])).
% 42.91/28.60 tff(31434,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB183) | v112(constB183) | (~v108(constB183)))),
% 42.91/28.60 inference(quant_inst,[status(thm)],[])).
% 42.91/28.60 tff(31435,plain,
% 42.91/28.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB183)) | v26(constB183) | v112(constB183)),
% 43.01/28.60 inference(modus_ponens,[status(thm)],[31434, 31433])).
% 43.01/28.60 tff(31436,plain,
% 43.01/28.60 ((~v108(constB183)) | v112(constB183)),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31435, 7737, 31065])).
% 43.01/28.60 tff(31437,plain,
% 43.01/28.60 (v112(constB183)),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31436, 31429])).
% 43.01/28.60 tff(31438,plain,
% 43.01/28.60 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB183) | (~v112(constB183)))),
% 43.01/28.60 inference(rewrite,[status(thm)],[])).
% 43.01/28.60 tff(31439,plain,
% 43.01/28.60 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB183) | (~v112(constB183)))),
% 43.01/28.60 inference(quant_inst,[status(thm)],[])).
% 43.01/28.60 tff(31440,plain,
% 43.01/28.60 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB183) | (~v112(constB183))),
% 43.01/28.60 inference(modus_ponens,[status(thm)],[31439, 31438])).
% 43.01/28.60 tff(31441,plain,
% 43.01/28.60 (v113(constB183)),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31440, 7755, 31437])).
% 43.01/28.60 tff(31442,plain,
% 43.01/28.60 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v125(constB183)) | v90(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v125(constB183)) | v90(constB183, bitIndex1))),
% 43.01/28.60 inference(rewrite,[status(thm)],[])).
% 43.01/28.60 tff(31443,plain,
% 43.01/28.60 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v125(constB183)) | v90(constB183, bitIndex1))),
% 43.01/28.60 inference(quant_inst,[status(thm)],[])).
% 43.01/28.60 tff(31444,plain,
% 43.01/28.60 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v125(constB183)) | v90(constB183, bitIndex1)),
% 43.01/28.60 inference(modus_ponens,[status(thm)],[31443, 31442])).
% 43.01/28.60 tff(31445,plain,
% 43.01/28.60 (~v125(constB183)),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31444, 18448, 31140])).
% 43.01/28.60 tff(31446,plain,
% 43.01/28.60 (((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB183) | v125(constB183) | (~v113(constB183)))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB183) | v125(constB183) | (~v113(constB183)))),
% 43.01/28.60 inference(rewrite,[status(thm)],[])).
% 43.01/28.60 tff(31447,plain,
% 43.01/28.60 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB183) | v125(constB183) | (~v113(constB183)))),
% 43.01/28.60 inference(quant_inst,[status(thm)],[])).
% 43.01/28.60 tff(31448,plain,
% 43.01/28.60 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB183) | v125(constB183) | (~v113(constB183))),
% 43.01/28.60 inference(modus_ponens,[status(thm)],[31447, 31446])).
% 43.01/28.60 tff(31449,plain,
% 43.01/28.60 (v114(constB183) | (~v113(constB183))),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31448, 7780, 31445])).
% 43.01/28.60 tff(31450,plain,
% 43.01/28.60 (v114(constB183)),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31449, 31441])).
% 43.01/28.60 tff(31451,plain,
% 43.01/28.60 ((~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31268, 1174, 31173])).
% 43.01/28.60 tff(31452,plain,
% 43.01/28.60 (~v129(constB184, bitIndex1)),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31451, 31374])).
% 43.01/28.60 tff(31453,plain,
% 43.01/28.60 (~v127(constB183, bitIndex1)),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31273, 31452])).
% 43.01/28.60 tff(31454,plain,
% 43.01/28.60 ((~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31286, 1144, 31065])).
% 43.01/28.60 tff(31455,plain,
% 43.01/28.60 (~v130(constB183, bitIndex1)),
% 43.01/28.60 inference(unit_resolution,[status(thm)],[31454, 31453])).
% 43.01/28.60 tff(31456,plain,
% 43.01/28.60 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB183)) | v130(constB183, bitIndex1))),
% 43.01/28.60 inference(rewrite,[status(thm)],[])).
% 43.01/28.60 tff(31457,plain,
% 43.01/28.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB183)) | v130(constB183, bitIndex1))),
% 43.01/28.60 inference(quant_inst,[status(thm)],[])).
% 43.01/28.60 tff(31458,plain,
% 43.01/28.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB183)) | v130(constB183, bitIndex1)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31457, 31456])).
% 43.01/28.61 tff(31459,plain,
% 43.01/28.61 (~v124(constB183)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31458, 7641, 31455])).
% 43.01/28.61 tff(31460,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB183) | v124(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB183) | v124(constB183) | (~v114(constB183)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31461,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB183) | v124(constB183) | (~v114(constB183)))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31462,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB183) | v124(constB183) | (~v114(constB183))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31461, 31460])).
% 43.01/28.61 tff(31463,plain,
% 43.01/28.61 (v115(constB183)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31462, 7795, 31459, 31450])).
% 43.01/28.61 tff(31464,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB183)) | (~v130(constB183, bitIndex0)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31465,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB183)) | (~v130(constB183, bitIndex0)))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31466,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB183)) | (~v130(constB183, bitIndex0))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31465, 31464])).
% 43.01/28.61 tff(31467,plain,
% 43.01/28.61 (~v123(constB183)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31466, 1208, 31395])).
% 43.01/28.61 tff(31468,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB183) | v123(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB183) | v123(constB183) | (~v115(constB183)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31469,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB183) | v123(constB183) | (~v115(constB183)))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31470,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB183) | v123(constB183) | (~v115(constB183))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31469, 31468])).
% 43.01/28.61 tff(31471,plain,
% 43.01/28.61 (v116(constB183) | (~v115(constB183))),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31470, 7810, 31467])).
% 43.01/28.61 tff(31472,plain,
% 43.01/28.61 (v116(constB183)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31471, 31463])).
% 43.01/28.61 tff(31473,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v122(constB183)) | v90(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v122(constB183)) | v90(constB183, bitIndex1))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31474,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | ((~v122(constB183)) | v90(constB183, bitIndex1))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31475,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex1))) | (~v122(constB183)) | v90(constB183, bitIndex1)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31474, 31473])).
% 43.01/28.61 tff(31476,plain,
% 43.01/28.61 (~v122(constB183)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31475, 23096, 31140])).
% 43.01/28.61 tff(31477,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB183) | v122(constB183) | (~v116(constB183)))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB183) | v122(constB183) | (~v116(constB183)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31478,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB183) | v122(constB183) | (~v116(constB183)))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31479,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB183) | v122(constB183) | (~v116(constB183))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31478, 31477])).
% 43.01/28.61 tff(31480,plain,
% 43.01/28.61 (v117(constB183) | (~v116(constB183))),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31479, 7829, 31476])).
% 43.01/28.61 tff(31481,plain,
% 43.01/28.61 ($false),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31480, 31472, 31416])).
% 43.01/28.61 tff(31482,plain,(v90(constB183, bitIndex1) | v90(constB184, bitIndex1) | (~v90(constB184, bitIndex0)) | v90(constB184, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.61 tff(31483,plain,
% 43.01/28.61 (v90(constB184, bitIndex2)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31482, 31349, 31140, 31358])).
% 43.01/28.61 tff(31484,plain,
% 43.01/28.61 (v90(constB183, bitIndex2)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31344, 31483, 31079])).
% 43.01/28.61 tff(31485,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v124(constB183))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v124(constB183))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31486,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v124(constB183))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31487,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v124(constB183)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31486, 31485])).
% 43.01/28.61 tff(31488,plain,
% 43.01/28.61 ((~v90(constB183, bitIndex0)) | (~v90(constB183, bitIndex2)) | v124(constB183)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31487, 15368, 31140])).
% 43.01/28.61 tff(31489,plain,
% 43.01/28.61 ($false),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31488, 31484, 31357, 31139])).
% 43.01/28.61 tff(31490,plain,(v100(constB184) | v90(constB183, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.61 tff(31491,plain,
% 43.01/28.61 (v100(constB184)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31490, 31019])).
% 43.01/28.61 tff(31492,plain,
% 43.01/28.61 (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2))),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31257, 641, 31491])).
% 43.01/28.61 tff(31493,plain,
% 43.01/28.61 (v90(constB184, bitIndex2)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31492, 31078])).
% 43.01/28.61 tff(31494,plain,
% 43.01/28.61 ((~v1(constB185)) <=> (~v1(constB185))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31495,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 43.01/28.61 tff(31496,plain,
% 43.01/28.61 (~v1(constB185)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31495, 31494])).
% 43.01/28.61 tff(31497,plain,
% 43.01/28.61 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31498,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 43.01/28.61 tff(31499,plain,
% 43.01/28.61 (nextState(constB184, constB185)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31498, 31497])).
% 43.01/28.61 tff(31500,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31501,plain,
% 43.01/28.61 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31502,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))))),
% 43.01/28.61 inference(monotonicity,[status(thm)],[31501])).
% 43.01/28.61 tff(31503,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 43.01/28.61 inference(transitivity,[status(thm)],[31502, 31500])).
% 43.01/28.61 tff(31504,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31505,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31504, 31503])).
% 43.01/28.61 tff(31506,plain,
% 43.01/28.61 (~v101(constB185)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31505, 391, 31499, 31496])).
% 43.01/28.61 tff(31507,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31508,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31509,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31508, 31507])).
% 43.01/28.61 tff(31510,plain,
% 43.01/28.61 (v101(constB185) | (~v100(constB185))),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31509, 408, 31499])).
% 43.01/28.61 tff(31511,plain,
% 43.01/28.61 (~v100(constB185)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31510, 31506])).
% 43.01/28.61 tff(31512,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31513,plain,
% 43.01/28.61 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31514,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2)))),
% 43.01/28.61 inference(monotonicity,[status(thm)],[31513])).
% 43.01/28.61 tff(31515,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 43.01/28.61 inference(transitivity,[status(thm)],[31514, 31512])).
% 43.01/28.61 tff(31516,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31517,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31516, 31515])).
% 43.01/28.61 tff(31518,plain,
% 43.01/28.61 ((~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31517, 783, 31499])).
% 43.01/28.61 tff(31519,plain,
% 43.01/28.61 ((~v90(constB184, bitIndex2)) | v90(constB185, bitIndex2)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31518, 31511])).
% 43.01/28.61 tff(31520,plain,
% 43.01/28.61 (v90(constB185, bitIndex2)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31519, 31493])).
% 43.01/28.61 tff(31521,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB183)) | v130(constB183, bitIndex1))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31522,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB183)) | v130(constB183, bitIndex1))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31523,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB183)) | v130(constB183, bitIndex1)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31522, 31521])).
% 43.01/28.61 tff(31524,plain,
% 43.01/28.61 (v130(constB183, bitIndex1)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31523, 1130, 31057])).
% 43.01/28.61 tff(31525,plain,
% 43.01/28.61 (v127(constB183, bitIndex1)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31454, 31524])).
% 43.01/28.61 tff(31526,plain,
% 43.01/28.61 (v129(constB184, bitIndex1)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31273, 31525])).
% 43.01/28.61 tff(31527,plain,
% 43.01/28.61 (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31268, 1174, 31491])).
% 43.01/28.61 tff(31528,plain,
% 43.01/28.61 (v90(constB184, bitIndex1)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31527, 31526])).
% 43.01/28.61 tff(31529,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31530,plain,
% 43.01/28.61 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31531,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)))),
% 43.01/28.61 inference(monotonicity,[status(thm)],[31530])).
% 43.01/28.61 tff(31532,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 43.01/28.61 inference(transitivity,[status(thm)],[31531, 31529])).
% 43.01/28.61 tff(31533,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31534,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31533, 31532])).
% 43.01/28.61 tff(31535,plain,
% 43.01/28.61 ((~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31534, 1192, 31499])).
% 43.01/28.61 tff(31536,plain,
% 43.01/28.61 ((~v90(constB184, bitIndex1)) | v90(constB185, bitIndex1)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31535, 31511])).
% 43.01/28.61 tff(31537,plain,
% 43.01/28.61 (v90(constB185, bitIndex1)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31536, 31528])).
% 43.01/28.61 tff(31538,plain,
% 43.01/28.61 (~v130(constB183, bitIndex0)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31466, 1208, 31057])).
% 43.01/28.61 tff(31539,plain,
% 43.01/28.61 (~v127(constB183, bitIndex0)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31394, 31538])).
% 43.01/28.61 tff(31540,plain,
% 43.01/28.61 (~v129(constB184, bitIndex0)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31386, 31539])).
% 43.01/28.61 tff(31541,plain,
% 43.01/28.61 ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31380, 952, 31491])).
% 43.01/28.61 tff(31542,plain,
% 43.01/28.61 (~v90(constB184, bitIndex0)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31541, 31540])).
% 43.01/28.61 tff(31543,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31544,plain,
% 43.01/28.61 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31545,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))))),
% 43.01/28.61 inference(monotonicity,[status(thm)],[31544])).
% 43.01/28.61 tff(31546,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 43.01/28.61 inference(transitivity,[status(thm)],[31545, 31543])).
% 43.01/28.61 tff(31547,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31548,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31547, 31546])).
% 43.01/28.61 tff(31549,plain,
% 43.01/28.61 (v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31548, 465, 31499])).
% 43.01/28.61 tff(31550,plain,
% 43.01/28.61 (v90(constB184, bitIndex0) | (~v90(constB185, bitIndex0))),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31549, 31511])).
% 43.01/28.61 tff(31551,plain,
% 43.01/28.61 (~v90(constB185, bitIndex0)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31550, 31542])).
% 43.01/28.61 tff(31552,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31553,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31554,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31553, 31552])).
% 43.01/28.61 tff(31555,plain,
% 43.01/28.61 (v125(constB185)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31554, 1252, 31551, 31537, 31520])).
% 43.01/28.61 tff(31556,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB185) | (~v125(constB185)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB185) | (~v125(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31557,plain,
% 43.01/28.61 (((~v125(constB185)) | v113(constB185)) <=> (v113(constB185) | (~v125(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31558,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB185)) | v113(constB185))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB185) | (~v125(constB185))))),
% 43.01/28.61 inference(monotonicity,[status(thm)],[31557])).
% 43.01/28.61 tff(31559,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB185)) | v113(constB185))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB185) | (~v125(constB185)))),
% 43.01/28.61 inference(transitivity,[status(thm)],[31558, 31556])).
% 43.01/28.61 tff(31560,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB185)) | v113(constB185))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31561,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB185) | (~v125(constB185))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31560, 31559])).
% 43.01/28.61 tff(31562,plain,
% 43.01/28.61 (v113(constB185)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31561, 1263, 31555])).
% 43.01/28.61 tff(31563,assumption,(v26(constB185)), introduced(assumption)).
% 43.01/28.61 tff(31564,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB185))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31565,plain,
% 43.01/28.61 ($false),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31564, 95, 31563])).
% 43.01/28.61 tff(31566,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.61 tff(31567,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31568,plain,
% 43.01/28.61 ((v26(constB185) | (~v113(constB185)) | v112(constB185)) <=> (v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31569,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185))))),
% 43.01/28.61 inference(monotonicity,[status(thm)],[31568])).
% 43.01/28.61 tff(31570,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 43.01/28.61 inference(transitivity,[status(thm)],[31569, 31567])).
% 43.01/28.61 tff(31571,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31572,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31571, 31570])).
% 43.01/28.61 tff(31573,plain,
% 43.01/28.61 (v112(constB185) | (~v113(constB185))),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31572, 581, 31566])).
% 43.01/28.61 tff(31574,plain,
% 43.01/28.61 (v112(constB185)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31573, 31562])).
% 43.01/28.61 tff(31575,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31576,plain,
% 43.01/28.61 (((~v112(constB185)) | v108(constB185)) <=> (v108(constB185) | (~v112(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31577,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185))))),
% 43.01/28.61 inference(monotonicity,[status(thm)],[31576])).
% 43.01/28.61 tff(31578,plain,
% 43.01/28.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 43.01/28.61 inference(transitivity,[status(thm)],[31577, 31575])).
% 43.01/28.61 tff(31579,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31580,plain,
% 43.01/28.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31579, 31578])).
% 43.01/28.61 tff(31581,plain,
% 43.01/28.61 (v108(constB185)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31580, 746, 31574])).
% 43.01/28.61 tff(31582,plain,
% 43.01/28.61 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31583,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 43.01/28.61 tff(31584,plain,
% 43.01/28.61 (nextState(constB185, constB186)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31583, 31582])).
% 43.01/28.61 tff(31585,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31586,plain,
% 43.01/28.61 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31587,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))))),
% 43.01/28.61 inference(monotonicity,[status(thm)],[31586])).
% 43.01/28.61 tff(31588,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 43.01/28.61 inference(transitivity,[status(thm)],[31587, 31585])).
% 43.01/28.61 tff(31589,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31590,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31589, 31588])).
% 43.01/28.61 tff(31591,plain,
% 43.01/28.61 (v110(constB186) | (~v108(constB185))),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31590, 731, 31584])).
% 43.01/28.61 tff(31592,plain,
% 43.01/28.61 (v110(constB186)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31591, 31581])).
% 43.01/28.61 tff(31593,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31594,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31595,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31594, 31593])).
% 43.01/28.61 tff(31596,plain,
% 43.01/28.61 (~v104(constB186)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31595, 659, 31584, 31496])).
% 43.01/28.61 tff(31597,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31598,plain,
% 43.01/28.61 (((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)) <=> ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31599,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186)))),
% 43.01/28.61 inference(monotonicity,[status(thm)],[31598])).
% 43.01/28.61 tff(31600,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 43.01/28.61 inference(transitivity,[status(thm)],[31599, 31597])).
% 43.01/28.61 tff(31601,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 43.01/28.61 inference(quant_inst,[status(thm)],[])).
% 43.01/28.61 tff(31602,plain,
% 43.01/28.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31601, 31600])).
% 43.01/28.61 tff(31603,plain,
% 43.01/28.61 (v104(constB186) | v102(constB186)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31602, 673, 31584])).
% 43.01/28.61 tff(31604,plain,
% 43.01/28.61 (v102(constB186)),
% 43.01/28.61 inference(unit_resolution,[status(thm)],[31603, 31596])).
% 43.01/28.61 tff(31605,plain,
% 43.01/28.61 (v1(constB186) <=> v1(constB186)),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31606,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 43.01/28.61 tff(31607,plain,
% 43.01/28.61 (v1(constB186)),
% 43.01/28.61 inference(modus_ponens,[status(thm)],[31606, 31605])).
% 43.01/28.61 tff(31608,plain,
% 43.01/28.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 43.01/28.61 inference(rewrite,[status(thm)],[])).
% 43.01/28.61 tff(31609,plain,
% 43.01/28.61 (((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))) <=> ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31610,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186))))),
% 43.01/28.62 inference(monotonicity,[status(thm)],[31609])).
% 43.01/28.62 tff(31611,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 43.01/28.62 inference(transitivity,[status(thm)],[31610, 31608])).
% 43.01/28.62 tff(31612,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31613,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31612, 31611])).
% 43.01/28.62 tff(31614,plain,
% 43.01/28.62 (v101(constB186) | (~v102(constB186))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31613, 694, 31584, 31607])).
% 43.01/28.62 tff(31615,plain,
% 43.01/28.62 (v101(constB186)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31614, 31604])).
% 43.01/28.62 tff(31616,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31617,plain,
% 43.01/28.62 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31618,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))))),
% 43.01/28.62 inference(monotonicity,[status(thm)],[31617])).
% 43.01/28.62 tff(31619,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 43.01/28.62 inference(transitivity,[status(thm)],[31618, 31616])).
% 43.01/28.62 tff(31620,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31621,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31620, 31619])).
% 43.01/28.62 tff(31622,plain,
% 43.01/28.62 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31621, 712, 31584])).
% 43.01/28.62 tff(31623,plain,
% 43.01/28.62 (v100(constB186) | (~v110(constB186))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31622, 31615])).
% 43.01/28.62 tff(31624,plain,
% 43.01/28.62 (v100(constB186)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31623, 31592])).
% 43.01/28.62 tff(31625,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB185)) | (~v90(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB185)) | (~v90(constB185, bitIndex2)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31626,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB185)) | (~v90(constB185, bitIndex2)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31627,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB185)) | (~v90(constB185, bitIndex2))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31626, 31625])).
% 43.01/28.62 tff(31628,plain,
% 43.01/28.62 (~v122(constB185)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31627, 1347, 31520])).
% 43.01/28.62 tff(31629,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB185)) | (~v90(constB185, bitIndex1)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31630,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB185)) | (~v90(constB185, bitIndex1)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31631,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB185)) | (~v90(constB185, bitIndex1))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31630, 31629])).
% 43.01/28.62 tff(31632,plain,
% 43.01/28.62 (~v124(constB185)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31631, 1369, 31537])).
% 43.01/28.62 tff(31633,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB185)) | (~v90(constB185, bitIndex1)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31634,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB185)) | (~v90(constB185, bitIndex1)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31635,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB185)) | (~v90(constB185, bitIndex1))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31634, 31633])).
% 43.01/28.62 tff(31636,plain,
% 43.01/28.62 (~v120(constB185)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31635, 1391, 31537])).
% 43.01/28.62 tff(31637,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB185)) | (~v90(constB185, bitIndex1)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31638,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB185)) | (~v90(constB185, bitIndex1)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31639,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB185)) | (~v90(constB185, bitIndex1))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31638, 31637])).
% 43.01/28.62 tff(31640,plain,
% 43.01/28.62 (~v123(constB185)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31639, 1358, 31537])).
% 43.01/28.62 tff(31641,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB185)) | (~v90(constB185, bitIndex1)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31642,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex1)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31643,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB185)) | (~v90(constB185, bitIndex1))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31642, 31641])).
% 43.01/28.62 tff(31644,plain,
% 43.01/28.62 (~v119(constB185)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31643, 1380, 31537])).
% 43.01/28.62 tff(31645,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v90(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v90(constB185, bitIndex2)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31646,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v90(constB185, bitIndex2)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31647,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v90(constB185, bitIndex2))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31646, 31645])).
% 43.01/28.62 tff(31648,plain,
% 43.01/28.62 (~v121(constB185)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31647, 1336, 31520])).
% 43.01/28.62 tff(31649,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31650,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31651,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31650, 31649])).
% 43.01/28.62 tff(31652,plain,
% 43.01/28.62 (~v130(constB185, bitIndex2)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31651, 1405, 31648, 31644, 31640, 31636, 31632, 31628])).
% 43.01/28.62 tff(31653,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31654,plain,
% 43.01/28.62 ((v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2))) <=> ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31655,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)))),
% 43.01/28.62 inference(monotonicity,[status(thm)],[31654])).
% 43.01/28.62 tff(31656,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 43.01/28.62 inference(transitivity,[status(thm)],[31655, 31653])).
% 43.01/28.62 tff(31657,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31658,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31657, 31656])).
% 43.01/28.62 tff(31659,plain,
% 43.01/28.62 ((~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31658, 1419, 31566])).
% 43.01/28.62 tff(31660,plain,
% 43.01/28.62 (~v127(constB185, bitIndex2)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31659, 31652])).
% 43.01/28.62 tff(31661,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31662,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31663,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31662, 31661])).
% 43.01/28.62 tff(31664,plain,
% 43.01/28.62 (v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31663, 1437, 31584])).
% 43.01/28.62 tff(31665,plain,
% 43.01/28.62 (~v129(constB186, bitIndex2)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31664, 31660])).
% 43.01/28.62 tff(31666,plain,
% 43.01/28.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31667,plain,
% 43.01/28.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31668,plain,
% 43.01/28.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31667, 31666])).
% 43.01/28.62 tff(31669,plain,
% 43.01/28.62 ((~v90(constB186, bitIndex2)) | (~v100(constB186))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31668, 1452, 31665])).
% 43.01/28.62 tff(31670,plain,
% 43.01/28.62 (~v90(constB186, bitIndex2)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31669, 31624])).
% 43.01/28.62 tff(31671,plain,
% 43.01/28.62 ((~v1(constB187)) <=> (~v1(constB187))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31672,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 43.01/28.62 tff(31673,plain,
% 43.01/28.62 (~v1(constB187)),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31672, 31671])).
% 43.01/28.62 tff(31674,plain,
% 43.01/28.62 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31675,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 43.01/28.62 tff(31676,plain,
% 43.01/28.62 (nextState(constB186, constB187)),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31675, 31674])).
% 43.01/28.62 tff(31677,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31678,plain,
% 43.01/28.62 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31679,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))))),
% 43.01/28.62 inference(monotonicity,[status(thm)],[31678])).
% 43.01/28.62 tff(31680,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 43.01/28.62 inference(transitivity,[status(thm)],[31679, 31677])).
% 43.01/28.62 tff(31681,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31682,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31681, 31680])).
% 43.01/28.62 tff(31683,plain,
% 43.01/28.62 (~v101(constB187)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31682, 391, 31676, 31673])).
% 43.01/28.62 tff(31684,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31685,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31686,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31685, 31684])).
% 43.01/28.62 tff(31687,plain,
% 43.01/28.62 (v101(constB187) | (~v100(constB187))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31686, 408, 31676])).
% 43.01/28.62 tff(31688,plain,
% 43.01/28.62 (~v100(constB187)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31687, 31683])).
% 43.01/28.62 tff(31689,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31690,plain,
% 43.01/28.62 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31691,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))))),
% 43.01/28.62 inference(monotonicity,[status(thm)],[31690])).
% 43.01/28.62 tff(31692,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 43.01/28.62 inference(transitivity,[status(thm)],[31691, 31689])).
% 43.01/28.62 tff(31693,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31694,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31693, 31692])).
% 43.01/28.62 tff(31695,plain,
% 43.01/28.62 (v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31694, 423, 31676])).
% 43.01/28.62 tff(31696,plain,
% 43.01/28.62 (v90(constB186, bitIndex2) | (~v90(constB187, bitIndex2))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31695, 31688])).
% 43.01/28.62 tff(31697,plain,
% 43.01/28.62 (~v90(constB187, bitIndex2)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31696, 31670])).
% 43.01/28.62 tff(31698,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31699,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31700,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31699, 31698])).
% 43.01/28.62 tff(31701,plain,
% 43.01/28.62 (~v130(constB185, bitIndex1)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31700, 1494, 31648, 31644, 31640, 31636, 31632, 31628])).
% 43.01/28.62 tff(31702,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31703,plain,
% 43.01/28.62 ((v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1))) <=> ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31704,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1)))),
% 43.01/28.62 inference(monotonicity,[status(thm)],[31703])).
% 43.01/28.62 tff(31705,plain,
% 43.01/28.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 43.01/28.62 inference(transitivity,[status(thm)],[31704, 31702])).
% 43.01/28.62 tff(31706,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31707,plain,
% 43.01/28.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1)),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 43.01/28.62 tff(31708,plain,
% 43.01/28.62 ((~v127(constB185, bitIndex1)) | v130(constB185, bitIndex1)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31707, 823, 31566])).
% 43.01/28.62 tff(31709,plain,
% 43.01/28.62 (~v127(constB185, bitIndex1)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31708, 31701])).
% 43.01/28.62 tff(31710,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31711,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31712,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31711, 31710])).
% 43.01/28.62 tff(31713,plain,
% 43.01/28.62 (v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31712, 853, 31584])).
% 43.01/28.62 tff(31714,plain,
% 43.01/28.62 (~v129(constB186, bitIndex1)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31713, 31709])).
% 43.01/28.62 tff(31715,plain,
% 43.01/28.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31716,plain,
% 43.01/28.62 (((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31717,plain,
% 43.01/28.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186))))),
% 43.01/28.62 inference(monotonicity,[status(thm)],[31716])).
% 43.01/28.62 tff(31718,plain,
% 43.01/28.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 43.01/28.62 inference(transitivity,[status(thm)],[31717, 31715])).
% 43.01/28.62 tff(31719,plain,
% 43.01/28.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31720,plain,
% 43.01/28.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31719, 31718])).
% 43.01/28.62 tff(31721,plain,
% 43.01/28.62 ((~v90(constB186, bitIndex1)) | (~v100(constB186))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31720, 868, 31714])).
% 43.01/28.62 tff(31722,plain,
% 43.01/28.62 (~v90(constB186, bitIndex1)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31721, 31624])).
% 43.01/28.62 tff(31723,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31724,plain,
% 43.01/28.62 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31725,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1))))),
% 43.01/28.62 inference(monotonicity,[status(thm)],[31724])).
% 43.01/28.62 tff(31726,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 43.01/28.62 inference(transitivity,[status(thm)],[31725, 31723])).
% 43.01/28.62 tff(31727,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 43.01/28.62 inference(quant_inst,[status(thm)],[])).
% 43.01/28.62 tff(31728,plain,
% 43.01/28.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1))),
% 43.01/28.62 inference(modus_ponens,[status(thm)],[31727, 31726])).
% 43.01/28.62 tff(31729,plain,
% 43.01/28.62 (v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31728, 444, 31676])).
% 43.01/28.62 tff(31730,plain,
% 43.01/28.62 (v90(constB186, bitIndex1) | (~v90(constB187, bitIndex1))),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31729, 31688])).
% 43.01/28.62 tff(31731,plain,
% 43.01/28.62 (~v90(constB187, bitIndex1)),
% 43.01/28.62 inference(unit_resolution,[status(thm)],[31730, 31722])).
% 43.01/28.62 tff(31732,assumption,(~v90(constB185, bitIndex0)), introduced(assumption)).
% 43.01/28.62 tff(31733,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31734,plain,
% 43.01/28.62 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))),
% 43.01/28.62 inference(rewrite,[status(thm)],[])).
% 43.01/28.62 tff(31735,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0)))),
% 43.01/28.62 inference(monotonicity,[status(thm)],[31734])).
% 43.01/28.62 tff(31736,plain,
% 43.01/28.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31735, 31733])).
% 43.01/28.63 tff(31737,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31738,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31737, 31736])).
% 43.01/28.63 tff(31739,plain,
% 43.01/28.63 ((~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31738, 1600, 31499])).
% 43.01/28.63 tff(31740,plain,
% 43.01/28.63 ((~v90(constB184, bitIndex0)) | v90(constB185, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31739, 31511])).
% 43.01/28.63 tff(31741,plain,
% 43.01/28.63 (~v90(constB184, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31740, 31732])).
% 43.01/28.63 tff(31742,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB185)) | v90(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB185)) | v90(constB185, bitIndex0))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31743,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB185)) | v90(constB185, bitIndex0))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31744,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB185)) | v90(constB185, bitIndex0)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31743, 31742])).
% 43.01/28.63 tff(31745,plain,
% 43.01/28.63 (~v122(constB185)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31744, 4538, 31732])).
% 43.01/28.63 tff(31746,assumption,(~v124(constB185)), introduced(assumption)).
% 43.01/28.63 tff(31747,assumption,(~v120(constB185)), introduced(assumption)).
% 43.01/28.63 tff(31748,assumption,(~v130(constB185, bitIndex0)), introduced(assumption)).
% 43.01/28.63 tff(31749,assumption,(~v123(constB185)), introduced(assumption)).
% 43.01/28.63 tff(31750,assumption,(~v121(constB185)), introduced(assumption)).
% 43.01/28.63 tff(31751,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31752,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31753,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31752, 31751])).
% 43.01/28.63 tff(31754,plain,
% 43.01/28.63 (v119(constB185) | v122(constB185)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31753, 1538, 31750, 31749, 31748, 31747, 31746])).
% 43.01/28.63 tff(31755,plain,
% 43.01/28.63 (v119(constB185)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31754, 31745])).
% 43.01/28.63 tff(31756,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB185)) | (~v90(constB185, bitIndex2)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31757,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex2)))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31758,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB185)) | (~v90(constB185, bitIndex2))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31757, 31756])).
% 43.01/28.63 tff(31759,plain,
% 43.01/28.63 (~v90(constB185, bitIndex2)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31758, 7590, 31755])).
% 43.01/28.63 tff(31760,plain,
% 43.01/28.63 (~v90(constB184, bitIndex2)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31519, 31759])).
% 43.01/28.63 tff(31761,plain,
% 43.01/28.63 (~v90(constB185, bitIndex1)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31643, 1380, 31755])).
% 43.01/28.63 tff(31762,plain,
% 43.01/28.63 (~v90(constB184, bitIndex1)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31536, 31761])).
% 43.01/28.63 tff(31763,plain,
% 43.01/28.63 ($false),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31313, 31762, 31760, 31741])).
% 43.01/28.63 tff(31764,plain,(v90(constB185, bitIndex0) | v121(constB185) | v123(constB185) | v130(constB185, bitIndex0) | v120(constB185) | v124(constB185)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.63 tff(31765,plain,
% 43.01/28.63 (v130(constB185, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31764, 31640, 31551, 31636, 31632, 31648])).
% 43.01/28.63 tff(31766,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31767,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31768,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31767, 31766])).
% 43.01/28.63 tff(31769,plain,
% 43.01/28.63 ((~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31768, 1552, 31566])).
% 43.01/28.63 tff(31770,plain,
% 43.01/28.63 (v127(constB185, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31769, 31765])).
% 43.01/28.63 tff(31771,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31772,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31773,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31772, 31771])).
% 43.01/28.63 tff(31774,plain,
% 43.01/28.63 ((~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31773, 1567, 31584])).
% 43.01/28.63 tff(31775,plain,
% 43.01/28.63 (v129(constB186, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31774, 31770])).
% 43.01/28.63 tff(31776,plain,
% 43.01/28.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31777,plain,
% 43.01/28.63 ((v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31778,plain,
% 43.01/28.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31777])).
% 43.01/28.63 tff(31779,plain,
% 43.01/28.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31778, 31776])).
% 43.01/28.63 tff(31780,plain,
% 43.01/28.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31781,plain,
% 43.01/28.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31780, 31779])).
% 43.01/28.63 tff(31782,plain,
% 43.01/28.63 (v90(constB186, bitIndex0) | (~v100(constB186))),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31781, 1582, 31775])).
% 43.01/28.63 tff(31783,plain,
% 43.01/28.63 (v90(constB186, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31782, 31624])).
% 43.01/28.63 tff(31784,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31785,plain,
% 43.01/28.63 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31786,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31785])).
% 43.01/28.63 tff(31787,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31786, 31784])).
% 43.01/28.63 tff(31788,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31789,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31788, 31787])).
% 43.01/28.63 tff(31790,plain,
% 43.01/28.63 ((~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31789, 1600, 31676])).
% 43.01/28.63 tff(31791,plain,
% 43.01/28.63 ((~v90(constB186, bitIndex0)) | v90(constB187, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31790, 31688])).
% 43.01/28.63 tff(31792,plain,
% 43.01/28.63 (v90(constB187, bitIndex0)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31791, 31783])).
% 43.01/28.63 tff(31793,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31794,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31795,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31794, 31793])).
% 43.01/28.63 tff(31796,plain,
% 43.01/28.63 (v120(constB187)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31795, 1619, 31792, 31731, 31697])).
% 43.01/28.63 tff(31797,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB187)) | v118(constB187))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB187)) | v118(constB187))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31798,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB187)) | v118(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31799,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB187)) | v118(constB187)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31798, 31797])).
% 43.01/28.63 tff(31800,plain,
% 43.01/28.63 (v118(constB187)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31799, 1630, 31796])).
% 43.01/28.63 tff(31801,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB187) | (~v118(constB187)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB187) | (~v118(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31802,plain,
% 43.01/28.63 (((~v118(constB187)) | v117(constB187)) <=> (v117(constB187) | (~v118(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31803,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB187)) | v117(constB187))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB187) | (~v118(constB187))))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31802])).
% 43.01/28.63 tff(31804,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB187)) | v117(constB187))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB187) | (~v118(constB187)))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31803, 31801])).
% 43.01/28.63 tff(31805,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB187)) | v117(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31806,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB187) | (~v118(constB187))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31805, 31804])).
% 43.01/28.63 tff(31807,plain,
% 43.01/28.63 (v117(constB187)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31806, 511, 31800])).
% 43.01/28.63 tff(31808,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v117(constB187)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v117(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31809,plain,
% 43.01/28.63 (((~v117(constB187)) | v116(constB187)) <=> (v116(constB187) | (~v117(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31810,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v117(constB187))))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31809])).
% 43.01/28.63 tff(31811,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v117(constB187)))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31810, 31808])).
% 43.01/28.63 tff(31812,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB187)) | v116(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31813,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v117(constB187))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31812, 31811])).
% 43.01/28.63 tff(31814,plain,
% 43.01/28.63 (v116(constB187)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31813, 525, 31807])).
% 43.01/28.63 tff(31815,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31816,plain,
% 43.01/28.63 (((~v116(constB187)) | v115(constB187)) <=> (v115(constB187) | (~v116(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31817,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187))))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31816])).
% 43.01/28.63 tff(31818,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31817, 31815])).
% 43.01/28.63 tff(31819,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31820,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31819, 31818])).
% 43.01/28.63 tff(31821,plain,
% 43.01/28.63 (v115(constB187)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31820, 539, 31814])).
% 43.01/28.63 tff(31822,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB187)) | v114(constB187))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31823,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31824,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB187)) | v114(constB187)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31823, 31822])).
% 43.01/28.63 tff(31825,plain,
% 43.01/28.63 (v114(constB187)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31824, 553, 31821])).
% 43.01/28.63 tff(31826,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB187)) | v113(constB187))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31827,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31828,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB187)) | v113(constB187)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31827, 31826])).
% 43.01/28.63 tff(31829,plain,
% 43.01/28.63 (v113(constB187)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31828, 567, 31825])).
% 43.01/28.63 tff(31830,assumption,(v26(constB187)), introduced(assumption)).
% 43.01/28.63 tff(31831,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31832,plain,
% 43.01/28.63 ($false),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31831, 95, 31830])).
% 43.01/28.63 tff(31833,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.63 tff(31834,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31835,plain,
% 43.01/28.63 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31836,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187))))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31835])).
% 43.01/28.63 tff(31837,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31836, 31834])).
% 43.01/28.63 tff(31838,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31839,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 43.01/28.63 tff(31840,plain,
% 43.01/28.63 (v112(constB187) | (~v113(constB187))),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31839, 581, 31833])).
% 43.01/28.63 tff(31841,plain,
% 43.01/28.63 (v112(constB187)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31840, 31829])).
% 43.01/28.63 tff(31842,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31843,plain,
% 43.01/28.63 (((~v112(constB187)) | v108(constB187)) <=> (v108(constB187) | (~v112(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31844,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187))))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31843])).
% 43.01/28.63 tff(31845,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31844, 31842])).
% 43.01/28.63 tff(31846,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31847,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31846, 31845])).
% 43.01/28.63 tff(31848,plain,
% 43.01/28.63 (v108(constB187)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31847, 746, 31841])).
% 43.01/28.63 tff(31849,plain,
% 43.01/28.63 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31850,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 43.01/28.63 tff(31851,plain,
% 43.01/28.63 (nextState(constB187, constB188)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31850, 31849])).
% 43.01/28.63 tff(31852,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31853,plain,
% 43.01/28.63 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31854,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31853])).
% 43.01/28.63 tff(31855,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31854, 31852])).
% 43.01/28.63 tff(31856,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31857,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31856, 31855])).
% 43.01/28.63 tff(31858,plain,
% 43.01/28.63 (v110(constB188) | (~v108(constB187))),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31857, 731, 31851])).
% 43.01/28.63 tff(31859,plain,
% 43.01/28.63 (v110(constB188)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31858, 31848])).
% 43.01/28.63 tff(31860,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31861,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31862,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31861, 31860])).
% 43.01/28.63 tff(31863,plain,
% 43.01/28.63 (~v104(constB188)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31862, 659, 31851, 31673])).
% 43.01/28.63 tff(31864,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31865,plain,
% 43.01/28.63 (((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)) <=> ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31866,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188)))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31865])).
% 43.01/28.63 tff(31867,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31866, 31864])).
% 43.01/28.63 tff(31868,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31869,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31868, 31867])).
% 43.01/28.63 tff(31870,plain,
% 43.01/28.63 (v104(constB188) | v102(constB188)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31869, 673, 31851])).
% 43.01/28.63 tff(31871,plain,
% 43.01/28.63 (v102(constB188)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31870, 31863])).
% 43.01/28.63 tff(31872,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31873,plain,
% 43.01/28.63 (((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))) <=> ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31874,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188))))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31873])).
% 43.01/28.63 tff(31875,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31874, 31872])).
% 43.01/28.63 tff(31876,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31877,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31876, 31875])).
% 43.01/28.63 tff(31878,plain,
% 43.01/28.63 (v101(constB188) | (~v102(constB188))),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31877, 694, 31851, 28810])).
% 43.01/28.63 tff(31879,plain,
% 43.01/28.63 (v101(constB188)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31878, 31871])).
% 43.01/28.63 tff(31880,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31881,plain,
% 43.01/28.63 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31882,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31881])).
% 43.01/28.63 tff(31883,plain,
% 43.01/28.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31882, 31880])).
% 43.01/28.63 tff(31884,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31885,plain,
% 43.01/28.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31884, 31883])).
% 43.01/28.63 tff(31886,plain,
% 43.01/28.63 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31885, 712, 31851])).
% 43.01/28.63 tff(31887,plain,
% 43.01/28.63 (v100(constB188) | (~v110(constB188))),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31886, 31879])).
% 43.01/28.63 tff(31888,plain,
% 43.01/28.63 (v100(constB188)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31887, 31859])).
% 43.01/28.63 tff(31889,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB187)) | (~v130(constB187, bitIndex2)))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31890,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex2)))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31891,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB187)) | (~v130(constB187, bitIndex2))),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31890, 31889])).
% 43.01/28.63 tff(31892,plain,
% 43.01/28.63 (~v130(constB187, bitIndex2)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31891, 1732, 31796])).
% 43.01/28.63 tff(31893,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31894,plain,
% 43.01/28.63 ((v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2))) <=> ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 43.01/28.63 inference(rewrite,[status(thm)],[])).
% 43.01/28.63 tff(31895,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2)))),
% 43.01/28.63 inference(monotonicity,[status(thm)],[31894])).
% 43.01/28.63 tff(31896,plain,
% 43.01/28.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 43.01/28.63 inference(transitivity,[status(thm)],[31895, 31893])).
% 43.01/28.63 tff(31897,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))),
% 43.01/28.63 inference(quant_inst,[status(thm)],[])).
% 43.01/28.63 tff(31898,plain,
% 43.01/28.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2)),
% 43.01/28.63 inference(modus_ponens,[status(thm)],[31897, 31896])).
% 43.01/28.63 tff(31899,plain,
% 43.01/28.63 ((~v127(constB187, bitIndex2)) | v130(constB187, bitIndex2)),
% 43.01/28.63 inference(unit_resolution,[status(thm)],[31898, 1419, 31833])).
% 43.01/28.63 tff(31900,plain,
% 43.01/28.63 (~v127(constB187, bitIndex2)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31899, 31892])).
% 43.01/28.64 tff(31901,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31902,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31903,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31902, 31901])).
% 43.01/28.64 tff(31904,plain,
% 43.01/28.64 (v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31903, 1437, 31851])).
% 43.01/28.64 tff(31905,plain,
% 43.01/28.64 (~v129(constB188, bitIndex2)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31904, 31900])).
% 43.01/28.64 tff(31906,plain,
% 43.01/28.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31907,plain,
% 43.01/28.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31908,plain,
% 43.01/28.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31907, 31906])).
% 43.01/28.64 tff(31909,plain,
% 43.01/28.64 ((~v90(constB188, bitIndex2)) | (~v100(constB188))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31908, 1452, 31905])).
% 43.01/28.64 tff(31910,plain,
% 43.01/28.64 (~v90(constB188, bitIndex2)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31909, 31888])).
% 43.01/28.64 tff(31911,plain,
% 43.01/28.64 ((~v1(constB189)) <=> (~v1(constB189))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31912,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 43.01/28.64 tff(31913,plain,
% 43.01/28.64 (~v1(constB189)),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31912, 31911])).
% 43.01/28.64 tff(31914,plain,
% 43.01/28.64 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31915,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 43.01/28.64 tff(31916,plain,
% 43.01/28.64 (nextState(constB188, constB189)),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31915, 31914])).
% 43.01/28.64 tff(31917,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31918,plain,
% 43.01/28.64 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31919,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))))),
% 43.01/28.64 inference(monotonicity,[status(thm)],[31918])).
% 43.01/28.64 tff(31920,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 43.01/28.64 inference(transitivity,[status(thm)],[31919, 31917])).
% 43.01/28.64 tff(31921,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31922,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31921, 31920])).
% 43.01/28.64 tff(31923,plain,
% 43.01/28.64 (~v101(constB189)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31922, 391, 31916, 31913])).
% 43.01/28.64 tff(31924,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31925,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31926,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31925, 31924])).
% 43.01/28.64 tff(31927,plain,
% 43.01/28.64 (v101(constB189) | (~v100(constB189))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31926, 408, 31916])).
% 43.01/28.64 tff(31928,plain,
% 43.01/28.64 (~v100(constB189)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31927, 31923])).
% 43.01/28.64 tff(31929,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31930,plain,
% 43.01/28.64 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31931,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2))))),
% 43.01/28.64 inference(monotonicity,[status(thm)],[31930])).
% 43.01/28.64 tff(31932,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 43.01/28.64 inference(transitivity,[status(thm)],[31931, 31929])).
% 43.01/28.64 tff(31933,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31934,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31933, 31932])).
% 43.01/28.64 tff(31935,plain,
% 43.01/28.64 (v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31934, 423, 31916])).
% 43.01/28.64 tff(31936,plain,
% 43.01/28.64 (v90(constB188, bitIndex2) | (~v90(constB189, bitIndex2))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31935, 31928])).
% 43.01/28.64 tff(31937,plain,
% 43.01/28.64 (~v90(constB189, bitIndex2)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31936, 31910])).
% 43.01/28.64 tff(31938,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB187)) | v130(constB187, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB187)) | v130(constB187, bitIndex1))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31939,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB187)) | v130(constB187, bitIndex1))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31940,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB187)) | v130(constB187, bitIndex1)),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31939, 31938])).
% 43.01/28.64 tff(31941,plain,
% 43.01/28.64 (v130(constB187, bitIndex1)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31940, 1788, 31796])).
% 43.01/28.64 tff(31942,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31943,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31944,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1)),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31943, 31942])).
% 43.01/28.64 tff(31945,plain,
% 43.01/28.64 ((~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31944, 1144, 31833])).
% 43.01/28.64 tff(31946,plain,
% 43.01/28.64 (v127(constB187, bitIndex1)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31945, 31941])).
% 43.01/28.64 tff(31947,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31948,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31949,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1)),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31948, 31947])).
% 43.01/28.64 tff(31950,plain,
% 43.01/28.64 ((~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31949, 1159, 31851])).
% 43.01/28.64 tff(31951,plain,
% 43.01/28.64 (v129(constB188, bitIndex1)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31950, 31946])).
% 43.01/28.64 tff(31952,plain,
% 43.01/28.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31953,plain,
% 43.01/28.64 ((v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31954,plain,
% 43.01/28.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188))))),
% 43.01/28.64 inference(monotonicity,[status(thm)],[31953])).
% 43.01/28.64 tff(31955,plain,
% 43.01/28.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 43.01/28.64 inference(transitivity,[status(thm)],[31954, 31952])).
% 43.01/28.64 tff(31956,plain,
% 43.01/28.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31957,plain,
% 43.01/28.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31956, 31955])).
% 43.01/28.64 tff(31958,plain,
% 43.01/28.64 (v90(constB188, bitIndex1) | (~v100(constB188))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31957, 1174, 31951])).
% 43.01/28.64 tff(31959,plain,
% 43.01/28.64 (v90(constB188, bitIndex1)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31958, 31888])).
% 43.01/28.64 tff(31960,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31961,plain,
% 43.01/28.64 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31962,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1)))),
% 43.01/28.64 inference(monotonicity,[status(thm)],[31961])).
% 43.01/28.64 tff(31963,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 43.01/28.64 inference(transitivity,[status(thm)],[31962, 31960])).
% 43.01/28.64 tff(31964,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31965,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1)),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31964, 31963])).
% 43.01/28.64 tff(31966,plain,
% 43.01/28.64 ((~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31965, 1192, 31916])).
% 43.01/28.64 tff(31967,plain,
% 43.01/28.64 ((~v90(constB188, bitIndex1)) | v90(constB189, bitIndex1)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31966, 31928])).
% 43.01/28.64 tff(31968,plain,
% 43.01/28.64 (v90(constB189, bitIndex1)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31967, 31959])).
% 43.01/28.64 tff(31969,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB187)) | (~v130(constB187, bitIndex0)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31970,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex0)))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31971,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB187)) | (~v130(constB187, bitIndex0))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31970, 31969])).
% 43.01/28.64 tff(31972,plain,
% 43.01/28.64 (~v130(constB187, bitIndex0)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31971, 1826, 31796])).
% 43.01/28.64 tff(31973,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31974,plain,
% 43.01/28.64 ((v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0))) <=> ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31975,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)))),
% 43.01/28.64 inference(monotonicity,[status(thm)],[31974])).
% 43.01/28.64 tff(31976,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 43.01/28.64 inference(transitivity,[status(thm)],[31975, 31973])).
% 43.01/28.64 tff(31977,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31978,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31977, 31976])).
% 43.01/28.64 tff(31979,plain,
% 43.01/28.64 ((~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31978, 907, 31833])).
% 43.01/28.64 tff(31980,plain,
% 43.01/28.64 (~v127(constB187, bitIndex0)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31979, 31972])).
% 43.01/28.64 tff(31981,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31982,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31983,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31982, 31981])).
% 43.01/28.64 tff(31984,plain,
% 43.01/28.64 (v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31983, 937, 31851])).
% 43.01/28.64 tff(31985,plain,
% 43.01/28.64 (~v129(constB188, bitIndex0)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31984, 31980])).
% 43.01/28.64 tff(31986,plain,
% 43.01/28.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31987,plain,
% 43.01/28.64 (((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31988,plain,
% 43.01/28.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))))),
% 43.01/28.64 inference(monotonicity,[status(thm)],[31987])).
% 43.01/28.64 tff(31989,plain,
% 43.01/28.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 43.01/28.64 inference(transitivity,[status(thm)],[31988, 31986])).
% 43.01/28.64 tff(31990,plain,
% 43.01/28.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31991,plain,
% 43.01/28.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31990, 31989])).
% 43.01/28.64 tff(31992,plain,
% 43.01/28.64 ((~v90(constB188, bitIndex0)) | (~v100(constB188))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31991, 952, 31985])).
% 43.01/28.64 tff(31993,plain,
% 43.01/28.64 (~v90(constB188, bitIndex0)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31992, 31888])).
% 43.01/28.64 tff(31994,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31995,plain,
% 43.01/28.64 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(31996,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))))),
% 43.01/28.64 inference(monotonicity,[status(thm)],[31995])).
% 43.01/28.64 tff(31997,plain,
% 43.01/28.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 43.01/28.64 inference(transitivity,[status(thm)],[31996, 31994])).
% 43.01/28.64 tff(31998,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(31999,plain,
% 43.01/28.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[31998, 31997])).
% 43.01/28.64 tff(32000,plain,
% 43.01/28.64 (v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[31999, 465, 31916])).
% 43.01/28.64 tff(32001,plain,
% 43.01/28.64 (v90(constB188, bitIndex0) | (~v90(constB189, bitIndex0))),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[32000, 31928])).
% 43.01/28.64 tff(32002,plain,
% 43.01/28.64 (~v90(constB189, bitIndex0)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[32001, 31993])).
% 43.01/28.64 tff(32003,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(32004,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(32005,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189)),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[32004, 32003])).
% 43.01/28.64 tff(32006,plain,
% 43.01/28.64 (v121(constB189)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[32005, 1870, 32002, 31968, 31937])).
% 43.01/28.64 tff(32007,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB189)) | v117(constB189))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB189)) | v117(constB189))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(32008,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB189)) | v117(constB189))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.64 tff(32009,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB189)) | v117(constB189)),
% 43.01/28.64 inference(modus_ponens,[status(thm)],[32008, 32007])).
% 43.01/28.64 tff(32010,plain,
% 43.01/28.64 (v117(constB189)),
% 43.01/28.64 inference(unit_resolution,[status(thm)],[32009, 1881, 32006])).
% 43.01/28.64 tff(32011,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB189) | (~v117(constB189)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB189) | (~v117(constB189)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(32012,plain,
% 43.01/28.64 (((~v117(constB189)) | v116(constB189)) <=> (v116(constB189) | (~v117(constB189)))),
% 43.01/28.64 inference(rewrite,[status(thm)],[])).
% 43.01/28.64 tff(32013,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB189)) | v116(constB189))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB189) | (~v117(constB189))))),
% 43.01/28.64 inference(monotonicity,[status(thm)],[32012])).
% 43.01/28.64 tff(32014,plain,
% 43.01/28.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB189)) | v116(constB189))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB189) | (~v117(constB189)))),
% 43.01/28.64 inference(transitivity,[status(thm)],[32013, 32011])).
% 43.01/28.64 tff(32015,plain,
% 43.01/28.64 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB189)) | v116(constB189))),
% 43.01/28.64 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32016,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB189) | (~v117(constB189))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32015, 32014])).
% 43.01/28.65 tff(32017,plain,
% 43.01/28.65 (v116(constB189)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32016, 525, 32010])).
% 43.01/28.65 tff(32018,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB189) | (~v116(constB189)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB189) | (~v116(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32019,plain,
% 43.01/28.65 (((~v116(constB189)) | v115(constB189)) <=> (v115(constB189) | (~v116(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32020,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB189)) | v115(constB189))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB189) | (~v116(constB189))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32019])).
% 43.01/28.65 tff(32021,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB189)) | v115(constB189))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB189) | (~v116(constB189)))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32020, 32018])).
% 43.01/28.65 tff(32022,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB189)) | v115(constB189))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32023,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB189) | (~v116(constB189))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32022, 32021])).
% 43.01/28.65 tff(32024,plain,
% 43.01/28.65 (v115(constB189)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32023, 539, 32017])).
% 43.01/28.65 tff(32025,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32026,plain,
% 43.01/28.65 (((~v115(constB189)) | v114(constB189)) <=> (v114(constB189) | (~v115(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32027,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32026])).
% 43.01/28.65 tff(32028,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32027, 32025])).
% 43.01/28.65 tff(32029,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32030,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32029, 32028])).
% 43.01/28.65 tff(32031,plain,
% 43.01/28.65 (v114(constB189)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32030, 553, 32024])).
% 43.01/28.65 tff(32032,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32033,plain,
% 43.01/28.65 (((~v114(constB189)) | v113(constB189)) <=> (v113(constB189) | (~v114(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32034,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32033])).
% 43.01/28.65 tff(32035,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32034, 32032])).
% 43.01/28.65 tff(32036,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32037,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32036, 32035])).
% 43.01/28.65 tff(32038,plain,
% 43.01/28.65 (v113(constB189)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32037, 567, 32031])).
% 43.01/28.65 tff(32039,assumption,(v26(constB189)), introduced(assumption)).
% 43.01/28.65 tff(32040,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32041,plain,
% 43.01/28.65 ($false),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32040, 95, 32039])).
% 43.01/28.65 tff(32042,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.65 tff(32043,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32044,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32045,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32044, 32043])).
% 43.01/28.65 tff(32046,plain,
% 43.01/28.65 ((~v113(constB189)) | v112(constB189)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32045, 581, 32042])).
% 43.01/28.65 tff(32047,plain,
% 43.01/28.65 (v112(constB189)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32046, 32038])).
% 43.01/28.65 tff(32048,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32049,plain,
% 43.01/28.65 (((~v112(constB189)) | v108(constB189)) <=> (v108(constB189) | (~v112(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32050,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32049])).
% 43.01/28.65 tff(32051,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32050, 32048])).
% 43.01/28.65 tff(32052,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32053,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32052, 32051])).
% 43.01/28.65 tff(32054,plain,
% 43.01/28.65 (v108(constB189)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32053, 746, 32047])).
% 43.01/28.65 tff(32055,plain,
% 43.01/28.65 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32056,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 43.01/28.65 tff(32057,plain,
% 43.01/28.65 (nextState(constB189, constB190)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32056, 32055])).
% 43.01/28.65 tff(32058,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32059,plain,
% 43.01/28.65 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32060,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32059])).
% 43.01/28.65 tff(32061,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32060, 32058])).
% 43.01/28.65 tff(32062,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32063,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32062, 32061])).
% 43.01/28.65 tff(32064,plain,
% 43.01/28.65 (v110(constB190) | (~v108(constB189))),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32063, 731, 32057])).
% 43.01/28.65 tff(32065,plain,
% 43.01/28.65 (v110(constB190)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32064, 32054])).
% 43.01/28.65 tff(32066,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32067,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32068,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32067, 32066])).
% 43.01/28.65 tff(32069,plain,
% 43.01/28.65 (~v104(constB190)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32068, 659, 32057, 31913])).
% 43.01/28.65 tff(32070,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32071,plain,
% 43.01/28.65 (((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)) <=> ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32072,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190)))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32071])).
% 43.01/28.65 tff(32073,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32072, 32070])).
% 43.01/28.65 tff(32074,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32075,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32074, 32073])).
% 43.01/28.65 tff(32076,plain,
% 43.01/28.65 (v104(constB190) | v102(constB190)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32075, 673, 32057])).
% 43.01/28.65 tff(32077,plain,
% 43.01/28.65 (v102(constB190)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32076, 32069])).
% 43.01/28.65 tff(32078,plain,
% 43.01/28.65 (v1(constB190) <=> v1(constB190)),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32079,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 43.01/28.65 tff(32080,plain,
% 43.01/28.65 (v1(constB190)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32079, 32078])).
% 43.01/28.65 tff(32081,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32082,plain,
% 43.01/28.65 (((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))) <=> ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32083,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32082])).
% 43.01/28.65 tff(32084,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32083, 32081])).
% 43.01/28.65 tff(32085,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32086,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32085, 32084])).
% 43.01/28.65 tff(32087,plain,
% 43.01/28.65 (v101(constB190) | (~v102(constB190))),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32086, 694, 32057, 32080])).
% 43.01/28.65 tff(32088,plain,
% 43.01/28.65 (v101(constB190)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32087, 32077])).
% 43.01/28.65 tff(32089,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32090,plain,
% 43.01/28.65 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32091,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32090])).
% 43.01/28.65 tff(32092,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32091, 32089])).
% 43.01/28.65 tff(32093,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32094,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32093, 32092])).
% 43.01/28.65 tff(32095,plain,
% 43.01/28.65 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32094, 712, 32057])).
% 43.01/28.65 tff(32096,plain,
% 43.01/28.65 (v100(constB190) | (~v110(constB190))),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32095, 32088])).
% 43.01/28.65 tff(32097,plain,
% 43.01/28.65 (v100(constB190)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32096, 32065])).
% 43.01/28.65 tff(32098,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB189)) | (~v130(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB189)) | (~v130(constB189, bitIndex2)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32099,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB189)) | (~v130(constB189, bitIndex2)))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32100,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB189)) | (~v130(constB189, bitIndex2))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32099, 32098])).
% 43.01/28.65 tff(32101,plain,
% 43.01/28.65 (~v130(constB189, bitIndex2)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32100, 1990, 32006])).
% 43.01/28.65 tff(32102,assumption,(v127(constB189, bitIndex2)), introduced(assumption)).
% 43.01/28.65 tff(32103,assumption,(~v130(constB189, bitIndex2)), introduced(assumption)).
% 43.01/28.65 tff(32104,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32105,plain,
% 43.01/28.65 ((v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2))) <=> ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32106,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2)))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32105])).
% 43.01/28.65 tff(32107,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32106, 32104])).
% 43.01/28.65 tff(32108,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32109,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32108, 32107])).
% 43.01/28.65 tff(32110,plain,
% 43.01/28.65 ((~v127(constB189, bitIndex2)) | v26(constB189)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32109, 1419, 32103])).
% 43.01/28.65 tff(32111,plain,
% 43.01/28.65 (v26(constB189)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32110, 32102])).
% 43.01/28.65 tff(32112,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB189)) | (~v127(constB189, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB189)) | (~v127(constB189, bitIndex2)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32113,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB189)) | (~v127(constB189, bitIndex2)))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32114,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB189)) | (~v127(constB189, bitIndex2))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32113, 32112])).
% 43.01/28.65 tff(32115,plain,
% 43.01/28.65 ($false),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32114, 9124, 32102, 32111])).
% 43.01/28.65 tff(32116,plain,((~v127(constB189, bitIndex2)) | v130(constB189, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.65 tff(32117,plain,
% 43.01/28.65 (~v127(constB189, bitIndex2)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32116, 32101])).
% 43.01/28.65 tff(32118,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32119,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32120,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32119, 32118])).
% 43.01/28.65 tff(32121,plain,
% 43.01/28.65 (v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2))),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32120, 1437, 32057])).
% 43.01/28.65 tff(32122,plain,
% 43.01/28.65 (~v129(constB190, bitIndex2)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32121, 32117])).
% 43.01/28.65 tff(32123,plain,
% 43.01/28.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32124,plain,
% 43.01/28.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32125,plain,
% 43.01/28.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32124, 32123])).
% 43.01/28.65 tff(32126,plain,
% 43.01/28.65 ((~v90(constB190, bitIndex2)) | (~v100(constB190))),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32125, 1452, 32122])).
% 43.01/28.65 tff(32127,plain,
% 43.01/28.65 (~v90(constB190, bitIndex2)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32126, 32097])).
% 43.01/28.65 tff(32128,plain,
% 43.01/28.65 ((~v1(constB191)) <=> (~v1(constB191))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32129,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 43.01/28.65 tff(32130,plain,
% 43.01/28.65 (~v1(constB191)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32129, 32128])).
% 43.01/28.65 tff(32131,plain,
% 43.01/28.65 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32132,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 43.01/28.65 tff(32133,plain,
% 43.01/28.65 (nextState(constB190, constB191)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32132, 32131])).
% 43.01/28.65 tff(32134,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32135,plain,
% 43.01/28.65 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32136,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32135])).
% 43.01/28.65 tff(32137,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32136, 32134])).
% 43.01/28.65 tff(32138,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32139,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32138, 32137])).
% 43.01/28.65 tff(32140,plain,
% 43.01/28.65 (~v101(constB191)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32139, 391, 32133, 32130])).
% 43.01/28.65 tff(32141,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32142,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32143,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32142, 32141])).
% 43.01/28.65 tff(32144,plain,
% 43.01/28.65 (v101(constB191) | (~v100(constB191))),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32143, 408, 32133])).
% 43.01/28.65 tff(32145,plain,
% 43.01/28.65 (~v100(constB191)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32144, 32140])).
% 43.01/28.65 tff(32146,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32147,plain,
% 43.01/28.65 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32148,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32147])).
% 43.01/28.65 tff(32149,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 43.01/28.65 inference(transitivity,[status(thm)],[32148, 32146])).
% 43.01/28.65 tff(32150,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32151,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2))),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32150, 32149])).
% 43.01/28.65 tff(32152,plain,
% 43.01/28.65 (v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2))),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32151, 423, 32133])).
% 43.01/28.65 tff(32153,plain,
% 43.01/28.65 (v90(constB190, bitIndex2) | (~v90(constB191, bitIndex2))),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32152, 32145])).
% 43.01/28.65 tff(32154,plain,
% 43.01/28.65 (~v90(constB191, bitIndex2)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32153, 32127])).
% 43.01/28.65 tff(32155,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB189)) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB189)) | v130(constB189, bitIndex1))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32156,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB189)) | v130(constB189, bitIndex1))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32157,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB189)) | v130(constB189, bitIndex1)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32156, 32155])).
% 43.01/28.65 tff(32158,plain,
% 43.01/28.65 (v130(constB189, bitIndex1)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32157, 2050, 32006])).
% 43.01/28.65 tff(32159,plain,
% 43.01/28.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32160,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32161,plain,
% 43.01/28.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32160, 32159])).
% 43.01/28.65 tff(32162,plain,
% 43.01/28.65 ((~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32161, 1144, 32042])).
% 43.01/28.65 tff(32163,plain,
% 43.01/28.65 (v127(constB189, bitIndex1)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32162, 32158])).
% 43.01/28.65 tff(32164,plain,
% 43.01/28.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32165,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))),
% 43.01/28.65 inference(quant_inst,[status(thm)],[])).
% 43.01/28.65 tff(32166,plain,
% 43.01/28.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1)),
% 43.01/28.65 inference(modus_ponens,[status(thm)],[32165, 32164])).
% 43.01/28.65 tff(32167,plain,
% 43.01/28.65 ((~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32166, 1159, 32057])).
% 43.01/28.65 tff(32168,plain,
% 43.01/28.65 (v129(constB190, bitIndex1)),
% 43.01/28.65 inference(unit_resolution,[status(thm)],[32167, 32163])).
% 43.01/28.65 tff(32169,plain,
% 43.01/28.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32170,plain,
% 43.01/28.65 ((v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 43.01/28.65 inference(rewrite,[status(thm)],[])).
% 43.01/28.65 tff(32171,plain,
% 43.01/28.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190))))),
% 43.01/28.65 inference(monotonicity,[status(thm)],[32170])).
% 43.01/28.66 tff(32172,plain,
% 43.01/28.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32171, 32169])).
% 43.01/28.66 tff(32173,plain,
% 43.01/28.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32174,plain,
% 43.01/28.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190))),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32173, 32172])).
% 43.01/28.66 tff(32175,plain,
% 43.01/28.66 (v90(constB190, bitIndex1) | (~v100(constB190))),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32174, 1174, 32168])).
% 43.01/28.66 tff(32176,plain,
% 43.01/28.66 (v90(constB190, bitIndex1)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32175, 32097])).
% 43.01/28.66 tff(32177,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32178,plain,
% 43.01/28.66 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32179,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1)))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32178])).
% 43.01/28.66 tff(32180,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32179, 32177])).
% 43.01/28.66 tff(32181,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32182,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32181, 32180])).
% 43.01/28.66 tff(32183,plain,
% 43.01/28.66 ((~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32182, 1192, 32133])).
% 43.01/28.66 tff(32184,plain,
% 43.01/28.66 ((~v90(constB190, bitIndex1)) | v90(constB191, bitIndex1)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32183, 32145])).
% 43.01/28.66 tff(32185,plain,
% 43.01/28.66 (v90(constB191, bitIndex1)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32184, 32176])).
% 43.01/28.66 tff(32186,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB189)) | v130(constB189, bitIndex0))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32187,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB189)) | v130(constB189, bitIndex0))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32188,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB189)) | v130(constB189, bitIndex0)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32187, 32186])).
% 43.01/28.66 tff(32189,plain,
% 43.01/28.66 (v130(constB189, bitIndex0)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32188, 2088, 32006])).
% 43.01/28.66 tff(32190,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32191,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32192,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32191, 32190])).
% 43.01/28.66 tff(32193,plain,
% 43.01/28.66 ((~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32192, 1552, 32042])).
% 43.01/28.66 tff(32194,plain,
% 43.01/28.66 (v127(constB189, bitIndex0)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32193, 32189])).
% 43.01/28.66 tff(32195,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32196,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32197,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32196, 32195])).
% 43.01/28.66 tff(32198,plain,
% 43.01/28.66 ((~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32197, 1567, 32057])).
% 43.01/28.66 tff(32199,plain,
% 43.01/28.66 (v129(constB190, bitIndex0)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32198, 32194])).
% 43.01/28.66 tff(32200,plain,
% 43.01/28.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32201,plain,
% 43.01/28.66 ((v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32202,plain,
% 43.01/28.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32201])).
% 43.01/28.66 tff(32203,plain,
% 43.01/28.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32202, 32200])).
% 43.01/28.66 tff(32204,plain,
% 43.01/28.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32205,plain,
% 43.01/28.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32204, 32203])).
% 43.01/28.66 tff(32206,plain,
% 43.01/28.66 (v90(constB190, bitIndex0) | (~v100(constB190))),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32205, 1582, 32199])).
% 43.01/28.66 tff(32207,plain,
% 43.01/28.66 (v90(constB190, bitIndex0)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32206, 32097])).
% 43.01/28.66 tff(32208,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32209,plain,
% 43.01/28.66 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32210,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32209])).
% 43.01/28.66 tff(32211,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32210, 32208])).
% 43.01/28.66 tff(32212,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32213,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32212, 32211])).
% 43.01/28.66 tff(32214,plain,
% 43.01/28.66 ((~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32213, 1600, 32133])).
% 43.01/28.66 tff(32215,plain,
% 43.01/28.66 ((~v90(constB190, bitIndex0)) | v90(constB191, bitIndex0)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32214, 32145])).
% 43.01/28.66 tff(32216,plain,
% 43.01/28.66 (v90(constB191, bitIndex0)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32215, 32207])).
% 43.01/28.66 tff(32217,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32218,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32219,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32218, 32217])).
% 43.01/28.66 tff(32220,plain,
% 43.01/28.66 (v122(constB191)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32219, 2129, 32216, 32185, 32154])).
% 43.01/28.66 tff(32221,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB191)) | v116(constB191))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB191)) | v116(constB191))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32222,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB191)) | v116(constB191))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32223,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB191)) | v116(constB191)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32222, 32221])).
% 43.01/28.66 tff(32224,plain,
% 43.01/28.66 (v116(constB191)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32223, 2140, 32220])).
% 43.01/28.66 tff(32225,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB191) | (~v116(constB191)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB191) | (~v116(constB191)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32226,plain,
% 43.01/28.66 (((~v116(constB191)) | v115(constB191)) <=> (v115(constB191) | (~v116(constB191)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32227,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB191)) | v115(constB191))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB191) | (~v116(constB191))))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32226])).
% 43.01/28.66 tff(32228,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB191)) | v115(constB191))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB191) | (~v116(constB191)))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32227, 32225])).
% 43.01/28.66 tff(32229,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB191)) | v115(constB191))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32230,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB191) | (~v116(constB191))),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32229, 32228])).
% 43.01/28.66 tff(32231,plain,
% 43.01/28.66 (v115(constB191)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32230, 539, 32224])).
% 43.01/28.66 tff(32232,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB191)) | v114(constB191))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB191)) | v114(constB191))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32233,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB191)) | v114(constB191))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32234,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB191)) | v114(constB191)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32233, 32232])).
% 43.01/28.66 tff(32235,plain,
% 43.01/28.66 (v114(constB191)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32234, 553, 32231])).
% 43.01/28.66 tff(32236,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32237,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32238,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32237, 32236])).
% 43.01/28.66 tff(32239,plain,
% 43.01/28.66 (v113(constB191)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32238, 567, 32235])).
% 43.01/28.66 tff(32240,assumption,(v26(constB191)), introduced(assumption)).
% 43.01/28.66 tff(32241,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32242,plain,
% 43.01/28.66 ($false),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32241, 95, 32240])).
% 43.01/28.66 tff(32243,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.66 tff(32244,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32245,plain,
% 43.01/28.66 ((v26(constB191) | (~v113(constB191)) | v112(constB191)) <=> (v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32246,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191))))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32245])).
% 43.01/28.66 tff(32247,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32246, 32244])).
% 43.01/28.66 tff(32248,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32249,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191))),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32248, 32247])).
% 43.01/28.66 tff(32250,plain,
% 43.01/28.66 (v112(constB191) | (~v113(constB191))),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32249, 581, 32243])).
% 43.01/28.66 tff(32251,plain,
% 43.01/28.66 (v112(constB191)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32250, 32239])).
% 43.01/28.66 tff(32252,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32253,plain,
% 43.01/28.66 (((~v112(constB191)) | v108(constB191)) <=> (v108(constB191) | (~v112(constB191)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32254,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191))))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32253])).
% 43.01/28.66 tff(32255,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32254, 32252])).
% 43.01/28.66 tff(32256,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32257,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191))),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32256, 32255])).
% 43.01/28.66 tff(32258,plain,
% 43.01/28.66 (v108(constB191)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32257, 746, 32251])).
% 43.01/28.66 tff(32259,plain,
% 43.01/28.66 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32260,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 43.01/28.66 tff(32261,plain,
% 43.01/28.66 (nextState(constB191, constB192)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32260, 32259])).
% 43.01/28.66 tff(32262,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32263,plain,
% 43.01/28.66 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32264,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32263])).
% 43.01/28.66 tff(32265,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32264, 32262])).
% 43.01/28.66 tff(32266,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32267,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32266, 32265])).
% 43.01/28.66 tff(32268,plain,
% 43.01/28.66 (v110(constB192) | (~v108(constB191))),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32267, 731, 32261])).
% 43.01/28.66 tff(32269,plain,
% 43.01/28.66 (v110(constB192)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32268, 32258])).
% 43.01/28.66 tff(32270,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32271,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32272,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32271, 32270])).
% 43.01/28.66 tff(32273,plain,
% 43.01/28.66 (~v104(constB192)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32272, 659, 32261, 32130])).
% 43.01/28.66 tff(32274,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32275,plain,
% 43.01/28.66 (((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)) <=> ((~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32276,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | v102(constB192)))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32275])).
% 43.01/28.66 tff(32277,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32276, 32274])).
% 43.01/28.66 tff(32278,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32279,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | v102(constB192)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32278, 32277])).
% 43.01/28.66 tff(32280,plain,
% 43.01/28.66 (v104(constB192) | v102(constB192)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32279, 673, 32261])).
% 43.01/28.66 tff(32281,plain,
% 43.01/28.66 (v102(constB192)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32280, 32273])).
% 43.01/28.66 tff(32282,plain,
% 43.01/28.66 (v1(constB192) <=> v1(constB192)),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32283,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 43.01/28.66 tff(32284,plain,
% 43.01/28.66 (v1(constB192)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32283, 32282])).
% 43.01/28.66 tff(32285,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32286,plain,
% 43.01/28.66 (((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))) <=> ((~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32287,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192))))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32286])).
% 43.01/28.66 tff(32288,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32287, 32285])).
% 43.01/28.66 tff(32289,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32290,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192))),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32289, 32288])).
% 43.01/28.66 tff(32291,plain,
% 43.01/28.66 (v101(constB192) | (~v102(constB192))),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32290, 694, 32261, 32284])).
% 43.01/28.66 tff(32292,plain,
% 43.01/28.66 (v101(constB192)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32291, 32281])).
% 43.01/28.66 tff(32293,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32294,plain,
% 43.01/28.66 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32295,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))))),
% 43.01/28.66 inference(monotonicity,[status(thm)],[32294])).
% 43.01/28.66 tff(32296,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 43.01/28.66 inference(transitivity,[status(thm)],[32295, 32293])).
% 43.01/28.66 tff(32297,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32298,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32297, 32296])).
% 43.01/28.66 tff(32299,plain,
% 43.01/28.66 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32298, 712, 32261])).
% 43.01/28.66 tff(32300,plain,
% 43.01/28.66 (v100(constB192) | (~v110(constB192))),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32299, 32292])).
% 43.01/28.66 tff(32301,plain,
% 43.01/28.66 (v100(constB192)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32300, 32269])).
% 43.01/28.66 tff(32302,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB191)) | v130(constB191, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB191)) | v130(constB191, bitIndex2))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32303,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB191)) | v130(constB191, bitIndex2))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32304,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB191)) | v130(constB191, bitIndex2)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32303, 32302])).
% 43.01/28.66 tff(32305,plain,
% 43.01/28.66 (v130(constB191, bitIndex2)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32304, 2224, 32220])).
% 43.01/28.66 tff(32306,plain,
% 43.01/28.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32307,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32308,plain,
% 43.01/28.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32307, 32306])).
% 43.01/28.66 tff(32309,plain,
% 43.01/28.66 ((~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32308, 607, 32243])).
% 43.01/28.66 tff(32310,plain,
% 43.01/28.66 (v127(constB191, bitIndex2)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32309, 32305])).
% 43.01/28.66 tff(32311,plain,
% 43.01/28.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32312,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 43.01/28.66 inference(quant_inst,[status(thm)],[])).
% 43.01/28.66 tff(32313,plain,
% 43.01/28.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 43.01/28.66 inference(modus_ponens,[status(thm)],[32312, 32311])).
% 43.01/28.66 tff(32314,plain,
% 43.01/28.66 ((~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32313, 625, 32261])).
% 43.01/28.66 tff(32315,plain,
% 43.01/28.66 (v129(constB192, bitIndex2)),
% 43.01/28.66 inference(unit_resolution,[status(thm)],[32314, 32310])).
% 43.01/28.66 tff(32316,plain,
% 43.01/28.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32317,plain,
% 43.01/28.66 ((v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2))) <=> (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 43.01/28.66 inference(rewrite,[status(thm)],[])).
% 43.01/28.66 tff(32318,plain,
% 43.01/28.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32317])).
% 43.01/28.67 tff(32319,plain,
% 43.01/28.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32318, 32316])).
% 43.01/28.67 tff(32320,plain,
% 43.01/28.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32321,plain,
% 43.01/28.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 43.01/28.67 tff(32322,plain,
% 43.01/28.67 (v90(constB192, bitIndex2) | (~v100(constB192))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32321, 641, 32315])).
% 43.01/28.67 tff(32323,plain,
% 43.01/28.67 (v90(constB192, bitIndex2)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32322, 32301])).
% 43.01/28.67 tff(32324,plain,
% 43.01/28.67 ((~v1(constB193)) <=> (~v1(constB193))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32325,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 43.01/28.67 tff(32326,plain,
% 43.01/28.67 (~v1(constB193)),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32325, 32324])).
% 43.01/28.67 tff(32327,plain,
% 43.01/28.67 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32328,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 43.01/28.67 tff(32329,plain,
% 43.01/28.67 (nextState(constB192, constB193)),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32328, 32327])).
% 43.01/28.67 tff(32330,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32331,plain,
% 43.01/28.67 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32332,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32331])).
% 43.01/28.67 tff(32333,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32332, 32330])).
% 43.01/28.67 tff(32334,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32335,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32334, 32333])).
% 43.01/28.67 tff(32336,plain,
% 43.01/28.67 (~v101(constB193)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32335, 391, 32329, 32326])).
% 43.01/28.67 tff(32337,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32338,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32339,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32338, 32337])).
% 43.01/28.67 tff(32340,plain,
% 43.01/28.67 (v101(constB193) | (~v100(constB193))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32339, 408, 32329])).
% 43.01/28.67 tff(32341,plain,
% 43.01/28.67 (~v100(constB193)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32340, 32336])).
% 43.01/28.67 tff(32342,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32343,plain,
% 43.01/28.67 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)) <=> ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32344,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32343])).
% 43.01/28.67 tff(32345,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32344, 32342])).
% 43.01/28.67 tff(32346,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32347,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32346, 32345])).
% 43.01/28.67 tff(32348,plain,
% 43.01/28.67 ((~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32347, 783, 32329])).
% 43.01/28.67 tff(32349,plain,
% 43.01/28.67 ((~v90(constB192, bitIndex2)) | v90(constB193, bitIndex2)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32348, 32341])).
% 43.01/28.67 tff(32350,plain,
% 43.01/28.67 (v90(constB193, bitIndex2)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32349, 32323])).
% 43.01/28.67 tff(32351,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB191)) | (~v130(constB191, bitIndex1)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32352,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex1)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32353,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB191)) | (~v130(constB191, bitIndex1))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32352, 32351])).
% 43.01/28.67 tff(32354,plain,
% 43.01/28.67 (~v130(constB191, bitIndex1)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32353, 2281, 32220])).
% 43.01/28.67 tff(32355,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32356,plain,
% 43.01/28.67 ((v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1))) <=> ((~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32357,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1)))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32356])).
% 43.01/28.67 tff(32358,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32357, 32355])).
% 43.01/28.67 tff(32359,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32360,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1)),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32359, 32358])).
% 43.01/28.67 tff(32361,plain,
% 43.01/28.67 ((~v127(constB191, bitIndex1)) | v130(constB191, bitIndex1)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32360, 823, 32243])).
% 43.01/28.67 tff(32362,plain,
% 43.01/28.67 (~v127(constB191, bitIndex1)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32361, 32354])).
% 43.01/28.67 tff(32363,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32364,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32365,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32364, 32363])).
% 43.01/28.67 tff(32366,plain,
% 43.01/28.67 (v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32365, 853, 32261])).
% 43.01/28.67 tff(32367,plain,
% 43.01/28.67 (~v129(constB192, bitIndex1)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32366, 32362])).
% 43.01/28.67 tff(32368,plain,
% 43.01/28.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32369,plain,
% 43.01/28.67 (((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1)) <=> ((~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32370,plain,
% 43.01/28.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192))))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32369])).
% 43.01/28.67 tff(32371,plain,
% 43.01/28.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192)))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32370, 32368])).
% 43.01/28.67 tff(32372,plain,
% 43.01/28.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32373,plain,
% 43.01/28.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32372, 32371])).
% 43.01/28.67 tff(32374,plain,
% 43.01/28.67 ((~v90(constB192, bitIndex1)) | (~v100(constB192))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32373, 868, 32367])).
% 43.01/28.67 tff(32375,plain,
% 43.01/28.67 (~v90(constB192, bitIndex1)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32374, 32301])).
% 43.01/28.67 tff(32376,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32377,plain,
% 43.01/28.67 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1))) <=> (v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32378,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1))))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32377])).
% 43.01/28.67 tff(32379,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1)))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32378, 32376])).
% 43.01/28.67 tff(32380,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32381,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32380, 32379])).
% 43.01/28.67 tff(32382,plain,
% 43.01/28.67 (v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32381, 444, 32329])).
% 43.01/28.67 tff(32383,plain,
% 43.01/28.67 (v90(constB192, bitIndex1) | (~v90(constB193, bitIndex1))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32382, 32341])).
% 43.01/28.67 tff(32384,plain,
% 43.01/28.67 (~v90(constB193, bitIndex1)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32383, 32375])).
% 43.01/28.67 tff(32385,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB191)) | (~v130(constB191, bitIndex0)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32386,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex0)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32387,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB191)) | (~v130(constB191, bitIndex0))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32386, 32385])).
% 43.01/28.67 tff(32388,plain,
% 43.01/28.67 (~v130(constB191, bitIndex0)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32387, 2327, 32220])).
% 43.01/28.67 tff(32389,assumption,(v127(constB191, bitIndex0)), introduced(assumption)).
% 43.01/28.67 tff(32390,assumption,(~v130(constB191, bitIndex0)), introduced(assumption)).
% 43.01/28.67 tff(32391,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32392,plain,
% 43.01/28.67 ((v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0))) <=> ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32393,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32392])).
% 43.01/28.67 tff(32394,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32393, 32391])).
% 43.01/28.67 tff(32395,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32396,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32395, 32394])).
% 43.01/28.67 tff(32397,plain,
% 43.01/28.67 ((~v127(constB191, bitIndex0)) | v26(constB191)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32396, 907, 32390])).
% 43.01/28.67 tff(32398,plain,
% 43.01/28.67 (v26(constB191)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32397, 32389])).
% 43.01/28.67 tff(32399,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB191)) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB191)) | (~v127(constB191, bitIndex0)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32400,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB191)) | (~v127(constB191, bitIndex0)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32401,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB191)) | (~v127(constB191, bitIndex0))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32400, 32399])).
% 43.01/28.67 tff(32402,plain,
% 43.01/28.67 ($false),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32401, 922, 32389, 32398])).
% 43.01/28.67 tff(32403,plain,((~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.67 tff(32404,plain,
% 43.01/28.67 (~v127(constB191, bitIndex0)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32403, 32388])).
% 43.01/28.67 tff(32405,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32406,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32407,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32406, 32405])).
% 43.01/28.67 tff(32408,plain,
% 43.01/28.67 (v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32407, 937, 32261])).
% 43.01/28.67 tff(32409,plain,
% 43.01/28.67 (~v129(constB192, bitIndex0)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32408, 32404])).
% 43.01/28.67 tff(32410,plain,
% 43.01/28.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32411,plain,
% 43.01/28.67 (((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0)) <=> ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32412,plain,
% 43.01/28.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32411])).
% 43.01/28.67 tff(32413,plain,
% 43.01/28.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32412, 32410])).
% 43.01/28.67 tff(32414,plain,
% 43.01/28.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32415,plain,
% 43.01/28.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32414, 32413])).
% 43.01/28.67 tff(32416,plain,
% 43.01/28.67 ((~v90(constB192, bitIndex0)) | (~v100(constB192))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32415, 952, 32409])).
% 43.01/28.67 tff(32417,plain,
% 43.01/28.67 (~v90(constB192, bitIndex0)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32416, 32301])).
% 43.01/28.67 tff(32418,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32419,plain,
% 43.01/28.67 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))) <=> (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32420,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32419])).
% 43.01/28.67 tff(32421,plain,
% 43.01/28.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32420, 32418])).
% 43.01/28.67 tff(32422,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32423,plain,
% 43.01/28.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32422, 32421])).
% 43.01/28.67 tff(32424,plain,
% 43.01/28.67 (v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32423, 465, 32329])).
% 43.01/28.67 tff(32425,plain,
% 43.01/28.67 (v90(constB192, bitIndex0) | (~v90(constB193, bitIndex0))),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32424, 32341])).
% 43.01/28.67 tff(32426,plain,
% 43.01/28.67 (~v90(constB193, bitIndex0)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32425, 32417])).
% 43.01/28.67 tff(32427,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32428,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32429,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193)),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32428, 32427])).
% 43.01/28.67 tff(32430,plain,
% 43.01/28.67 (v123(constB193)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32429, 979, 32426, 32384, 32350])).
% 43.01/28.67 tff(32431,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB193)) | v115(constB193))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB193)) | v115(constB193))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32432,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB193)) | v115(constB193))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32433,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB193)) | v115(constB193)),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32432, 32431])).
% 43.01/28.67 tff(32434,plain,
% 43.01/28.67 (v115(constB193)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32433, 990, 32430])).
% 43.01/28.67 tff(32435,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB193) | (~v115(constB193)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB193) | (~v115(constB193)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32436,plain,
% 43.01/28.67 (((~v115(constB193)) | v114(constB193)) <=> (v114(constB193) | (~v115(constB193)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32437,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB193)) | v114(constB193))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB193) | (~v115(constB193))))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32436])).
% 43.01/28.67 tff(32438,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB193)) | v114(constB193))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB193) | (~v115(constB193)))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32437, 32435])).
% 43.01/28.67 tff(32439,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB193)) | v114(constB193))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32440,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB193) | (~v115(constB193))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32439, 32438])).
% 43.01/28.67 tff(32441,plain,
% 43.01/28.67 (v114(constB193)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32440, 553, 32434])).
% 43.01/28.67 tff(32442,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB193) | (~v114(constB193)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB193) | (~v114(constB193)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32443,plain,
% 43.01/28.67 (((~v114(constB193)) | v113(constB193)) <=> (v113(constB193) | (~v114(constB193)))),
% 43.01/28.67 inference(rewrite,[status(thm)],[])).
% 43.01/28.67 tff(32444,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB193)) | v113(constB193))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB193) | (~v114(constB193))))),
% 43.01/28.67 inference(monotonicity,[status(thm)],[32443])).
% 43.01/28.67 tff(32445,plain,
% 43.01/28.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB193)) | v113(constB193))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB193) | (~v114(constB193)))),
% 43.01/28.67 inference(transitivity,[status(thm)],[32444, 32442])).
% 43.01/28.67 tff(32446,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB193)) | v113(constB193))),
% 43.01/28.67 inference(quant_inst,[status(thm)],[])).
% 43.01/28.67 tff(32447,plain,
% 43.01/28.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB193) | (~v114(constB193))),
% 43.01/28.67 inference(modus_ponens,[status(thm)],[32446, 32445])).
% 43.01/28.67 tff(32448,plain,
% 43.01/28.67 (v113(constB193)),
% 43.01/28.67 inference(unit_resolution,[status(thm)],[32447, 567, 32441])).
% 43.01/28.67 tff(32449,assumption,(v26(constB193)), introduced(assumption)).
% 43.01/28.67 tff(32450,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB193))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32451,plain,
% 43.01/28.68 ($false),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32450, 95, 32449])).
% 43.01/28.68 tff(32452,plain,(~v26(constB193)), inference(lemma,lemma(discharge,[]))).
% 43.01/28.68 tff(32453,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32454,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32455,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | (~v113(constB193)) | v112(constB193)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 43.01/28.68 tff(32456,plain,
% 43.01/28.68 ((~v113(constB193)) | v112(constB193)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32455, 581, 32452])).
% 43.01/28.68 tff(32457,plain,
% 43.01/28.68 (v112(constB193)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32456, 32448])).
% 43.01/28.68 tff(32458,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB193) | (~v112(constB193)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32459,plain,
% 43.01/28.68 (((~v112(constB193)) | v108(constB193)) <=> (v108(constB193) | (~v112(constB193)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32460,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB193) | (~v112(constB193))))),
% 43.01/28.68 inference(monotonicity,[status(thm)],[32459])).
% 43.01/28.68 tff(32461,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193)))),
% 43.01/28.68 inference(transitivity,[status(thm)],[32460, 32458])).
% 43.01/28.68 tff(32462,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32463,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32462, 32461])).
% 43.01/28.68 tff(32464,plain,
% 43.01/28.68 (v108(constB193)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32463, 746, 32457])).
% 43.01/28.68 tff(32465,plain,
% 43.01/28.68 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32466,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 43.01/28.68 tff(32467,plain,
% 43.01/28.68 (nextState(constB193, constB194)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32466, 32465])).
% 43.01/28.68 tff(32468,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32469,plain,
% 43.01/28.68 (((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194)) <=> ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32470,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))))),
% 43.01/28.68 inference(monotonicity,[status(thm)],[32469])).
% 43.01/28.68 tff(32471,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 43.01/28.68 inference(transitivity,[status(thm)],[32470, 32468])).
% 43.01/28.68 tff(32472,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32473,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32472, 32471])).
% 43.01/28.68 tff(32474,plain,
% 43.01/28.68 (v110(constB194) | (~v108(constB193))),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32473, 731, 32467])).
% 43.01/28.68 tff(32475,plain,
% 43.01/28.68 (v110(constB194)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32474, 32464])).
% 43.01/28.68 tff(32476,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32477,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32478,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32477, 32476])).
% 43.01/28.68 tff(32479,plain,
% 43.01/28.68 (~v104(constB194)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32478, 659, 32467, 32326])).
% 43.01/28.68 tff(32480,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v104(constB194) | v102(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v104(constB194) | v102(constB194))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32481,plain,
% 43.01/28.68 (((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194)) <=> ((~nextState(constB193, constB194)) | v104(constB194) | v102(constB194))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32482,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v104(constB194) | v102(constB194)))),
% 43.01/28.68 inference(monotonicity,[status(thm)],[32481])).
% 43.01/28.68 tff(32483,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v104(constB194) | v102(constB194))),
% 43.01/28.68 inference(transitivity,[status(thm)],[32482, 32480])).
% 43.01/28.68 tff(32484,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32485,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v104(constB194) | v102(constB194)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32484, 32483])).
% 43.01/28.68 tff(32486,plain,
% 43.01/28.68 (v104(constB194) | v102(constB194)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32485, 673, 32467])).
% 43.01/28.68 tff(32487,plain,
% 43.01/28.68 (v102(constB194)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32486, 32479])).
% 43.01/28.68 tff(32488,plain,
% 43.01/28.68 (v1(constB194) <=> v1(constB194)),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32489,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 43.01/28.68 tff(32490,plain,
% 43.01/28.68 (v1(constB194)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32489, 32488])).
% 43.01/28.68 tff(32491,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | (~v1(constB194)) | v101(constB194) | (~v102(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | (~v1(constB194)) | v101(constB194) | (~v102(constB194)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32492,plain,
% 43.01/28.68 (((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194))) <=> ((~nextState(constB193, constB194)) | (~v1(constB194)) | v101(constB194) | (~v102(constB194)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32493,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | (~v1(constB194)) | v101(constB194) | (~v102(constB194))))),
% 43.01/28.68 inference(monotonicity,[status(thm)],[32492])).
% 43.01/28.68 tff(32494,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | (~v1(constB194)) | v101(constB194) | (~v102(constB194)))),
% 43.01/28.68 inference(transitivity,[status(thm)],[32493, 32491])).
% 43.01/28.68 tff(32495,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32496,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | (~v1(constB194)) | v101(constB194) | (~v102(constB194))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32495, 32494])).
% 43.01/28.68 tff(32497,plain,
% 43.01/28.68 (v101(constB194) | (~v102(constB194))),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32496, 694, 32467, 32490])).
% 43.01/28.68 tff(32498,plain,
% 43.01/28.68 (v101(constB194)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32497, 32487])).
% 43.01/28.68 tff(32499,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32500,plain,
% 43.01/28.68 (((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194)) <=> ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32501,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))))),
% 43.01/28.68 inference(monotonicity,[status(thm)],[32500])).
% 43.01/28.68 tff(32502,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 43.01/28.68 inference(transitivity,[status(thm)],[32501, 32499])).
% 43.01/28.68 tff(32503,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32504,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32503, 32502])).
% 43.01/28.68 tff(32505,plain,
% 43.01/28.68 (v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32504, 712, 32467])).
% 43.01/28.68 tff(32506,plain,
% 43.01/28.68 (v100(constB194) | (~v110(constB194))),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32505, 32498])).
% 43.01/28.68 tff(32507,plain,
% 43.01/28.68 (v100(constB194)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32506, 32475])).
% 43.01/28.68 tff(32508,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB193)) | (~v130(constB193, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB193)) | (~v130(constB193, bitIndex0)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32509,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB193)) | (~v130(constB193, bitIndex0)))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32510,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB193)) | (~v130(constB193, bitIndex0))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32509, 32508])).
% 43.01/28.68 tff(32511,plain,
% 43.01/28.68 (~v130(constB193, bitIndex0)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32510, 1208, 32430])).
% 43.01/28.68 tff(32512,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32513,plain,
% 43.01/28.68 ((v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0))) <=> ((~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32514,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0)))),
% 43.01/28.68 inference(monotonicity,[status(thm)],[32513])).
% 43.01/28.68 tff(32515,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))),
% 43.01/28.68 inference(transitivity,[status(thm)],[32514, 32512])).
% 43.01/28.68 tff(32516,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0)))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32517,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32516, 32515])).
% 43.01/28.68 tff(32518,plain,
% 43.01/28.68 ((~v127(constB193, bitIndex0)) | v130(constB193, bitIndex0)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32517, 907, 32452])).
% 43.01/28.68 tff(32519,plain,
% 43.01/28.68 (~v127(constB193, bitIndex0)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32518, 32511])).
% 43.01/28.68 tff(32520,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32521,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0)))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32522,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32521, 32520])).
% 43.01/28.68 tff(32523,plain,
% 43.01/28.68 (v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0))),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32522, 937, 32467])).
% 43.01/28.68 tff(32524,plain,
% 43.01/28.68 (~v129(constB194, bitIndex0)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32523, 32519])).
% 43.01/28.68 tff(32525,plain,
% 43.01/28.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32526,plain,
% 43.01/28.68 (((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0)) <=> ((~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32527,plain,
% 43.01/28.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194))))),
% 43.01/28.68 inference(monotonicity,[status(thm)],[32526])).
% 43.01/28.68 tff(32528,plain,
% 43.01/28.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194)))),
% 43.01/28.68 inference(transitivity,[status(thm)],[32527, 32525])).
% 43.01/28.68 tff(32529,plain,
% 43.01/28.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32530,plain,
% 43.01/28.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32529, 32528])).
% 43.01/28.68 tff(32531,plain,
% 43.01/28.68 ((~v90(constB194, bitIndex0)) | (~v100(constB194))),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32530, 952, 32524])).
% 43.01/28.68 tff(32532,plain,
% 43.01/28.68 (~v90(constB194, bitIndex0)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32531, 32507])).
% 43.01/28.68 tff(32533,plain,
% 43.01/28.68 ((~v1(constB195)) <=> (~v1(constB195))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32534,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 43.01/28.68 tff(32535,plain,
% 43.01/28.68 (~v1(constB195)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32534, 32533])).
% 43.01/28.68 tff(32536,plain,
% 43.01/28.68 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32537,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 43.01/28.68 tff(32538,plain,
% 43.01/28.68 (nextState(constB194, constB195)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32537, 32536])).
% 43.01/28.68 tff(32539,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32540,plain,
% 43.01/28.68 (((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195)) <=> (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32541,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))))),
% 43.01/28.68 inference(monotonicity,[status(thm)],[32540])).
% 43.01/28.68 tff(32542,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 43.01/28.68 inference(transitivity,[status(thm)],[32541, 32539])).
% 43.01/28.68 tff(32543,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32544,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 43.01/28.68 tff(32545,plain,
% 43.01/28.68 (~v101(constB195)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32544, 391, 32538, 32535])).
% 43.01/28.68 tff(32546,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32547,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32548,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32547, 32546])).
% 43.01/28.68 tff(32549,plain,
% 43.01/28.68 (v101(constB195) | (~v100(constB195))),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32548, 408, 32538])).
% 43.01/28.68 tff(32550,plain,
% 43.01/28.68 (~v100(constB195)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32549, 32545])).
% 43.01/28.68 tff(32551,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32552,plain,
% 43.01/28.68 (((~nextState(constB194, constB195)) | v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0))) <=> (v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32553,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0))))),
% 43.01/28.68 inference(monotonicity,[status(thm)],[32552])).
% 43.01/28.68 tff(32554,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0)))),
% 43.01/28.68 inference(transitivity,[status(thm)],[32553, 32551])).
% 43.01/28.68 tff(32555,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0)))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32556,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0))),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32555, 32554])).
% 43.01/28.68 tff(32557,plain,
% 43.01/28.68 (v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0))),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32556, 465, 32538])).
% 43.01/28.68 tff(32558,plain,
% 43.01/28.68 (v90(constB194, bitIndex0) | (~v90(constB195, bitIndex0))),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32557, 32550])).
% 43.01/28.68 tff(32559,plain,
% 43.01/28.68 (~v90(constB195, bitIndex0)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32558, 32532])).
% 43.01/28.68 tff(32560,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB195, bitIndex0)) | v90(constB195, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB195, bitIndex0)) | v90(constB195, bitIndex0))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32561,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB195, bitIndex0)) | v90(constB195, bitIndex0))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32562,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB195, bitIndex0)) | v90(constB195, bitIndex0)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32561, 32560])).
% 43.01/28.68 tff(32563,plain,
% 43.01/28.68 (~v88(constB195, bitIndex0)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32562, 14501, 32559])).
% 43.01/28.68 tff(32564,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB193)) | v130(constB193, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB193)) | v130(constB193, bitIndex2))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32565,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB193)) | v130(constB193, bitIndex2))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32566,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB193)) | v130(constB193, bitIndex2)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32565, 32564])).
% 43.01/28.68 tff(32567,plain,
% 43.01/28.68 (v130(constB193, bitIndex2)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32566, 1074, 32430])).
% 43.01/28.68 tff(32568,plain,
% 43.01/28.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32569,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32570,plain,
% 43.01/28.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32569, 32568])).
% 43.01/28.68 tff(32571,plain,
% 43.01/28.68 ((~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32570, 607, 32452])).
% 43.01/28.68 tff(32572,plain,
% 43.01/28.68 (v127(constB193, bitIndex2)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32571, 32567])).
% 43.01/28.68 tff(32573,plain,
% 43.01/28.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32574,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2))),
% 43.01/28.68 inference(quant_inst,[status(thm)],[])).
% 43.01/28.68 tff(32575,plain,
% 43.01/28.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2)),
% 43.01/28.68 inference(modus_ponens,[status(thm)],[32574, 32573])).
% 43.01/28.68 tff(32576,plain,
% 43.01/28.68 ((~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32575, 625, 32467])).
% 43.01/28.68 tff(32577,plain,
% 43.01/28.68 (v129(constB194, bitIndex2)),
% 43.01/28.68 inference(unit_resolution,[status(thm)],[32576, 32572])).
% 43.01/28.68 tff(32578,plain,
% 43.01/28.68 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32579,plain,
% 43.01/28.68 ((v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2))) <=> (v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194)))),
% 43.01/28.68 inference(rewrite,[status(thm)],[])).
% 43.01/28.68 tff(32580,plain,
% 43.01/28.68 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194))))),
% 43.01/28.69 inference(monotonicity,[status(thm)],[32579])).
% 43.01/28.69 tff(32581,plain,
% 43.01/28.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194)))),
% 43.01/28.69 inference(transitivity,[status(thm)],[32580, 32578])).
% 43.01/28.69 tff(32582,plain,
% 43.01/28.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2)))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32583,plain,
% 43.01/28.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194))),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32582, 32581])).
% 43.01/28.69 tff(32584,plain,
% 43.01/28.69 (v90(constB194, bitIndex2) | (~v100(constB194))),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32583, 641, 32577])).
% 43.01/28.69 tff(32585,plain,
% 43.01/28.69 (v90(constB194, bitIndex2)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32584, 32507])).
% 43.01/28.69 tff(32586,plain,
% 43.01/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32587,plain,
% 43.01/28.69 (((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2)) <=> ((~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32588,plain,
% 43.01/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2)))),
% 43.01/28.69 inference(monotonicity,[status(thm)],[32587])).
% 43.01/28.69 tff(32589,plain,
% 43.01/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2))),
% 43.01/28.69 inference(transitivity,[status(thm)],[32588, 32586])).
% 43.01/28.69 tff(32590,plain,
% 43.01/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32591,plain,
% 43.01/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2)),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32590, 32589])).
% 43.01/28.69 tff(32592,plain,
% 43.01/28.69 ((~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32591, 783, 32538])).
% 43.01/28.69 tff(32593,plain,
% 43.01/28.69 ((~v90(constB194, bitIndex2)) | v90(constB195, bitIndex2)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32592, 32550])).
% 43.01/28.69 tff(32594,plain,
% 43.01/28.69 (v90(constB195, bitIndex2)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32593, 32585])).
% 43.01/28.69 tff(32595,plain,
% 43.01/28.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex2)) | v88(constB195, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB195, bitIndex2)) | v88(constB195, bitIndex2))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32596,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex2)) | v88(constB195, bitIndex2))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32597,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB195, bitIndex2)) | v88(constB195, bitIndex2)),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32596, 32595])).
% 43.01/28.69 tff(32598,plain,
% 43.01/28.69 (v88(constB195, bitIndex2)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32597, 28145, 32594])).
% 43.01/28.69 tff(32599,plain,
% 43.01/28.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB193)) | v130(constB193, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB193)) | v130(constB193, bitIndex1))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32600,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB193)) | v130(constB193, bitIndex1))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32601,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB193)) | v130(constB193, bitIndex1)),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32600, 32599])).
% 43.01/28.69 tff(32602,plain,
% 43.01/28.69 (v130(constB193, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32601, 1130, 32430])).
% 43.01/28.69 tff(32603,plain,
% 43.01/28.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32604,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32605,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1)),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32604, 32603])).
% 43.01/28.69 tff(32606,plain,
% 43.01/28.69 ((~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32605, 1144, 32452])).
% 43.01/28.69 tff(32607,plain,
% 43.01/28.69 (v127(constB193, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32606, 32602])).
% 43.01/28.69 tff(32608,plain,
% 43.01/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32609,plain,
% 43.01/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32610,plain,
% 43.01/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1)),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32609, 32608])).
% 43.01/28.69 tff(32611,plain,
% 43.01/28.69 ((~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32610, 1159, 32467])).
% 43.01/28.69 tff(32612,plain,
% 43.01/28.69 (v129(constB194, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32611, 32607])).
% 43.01/28.69 tff(32613,plain,
% 43.01/28.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194)))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32614,plain,
% 43.01/28.69 ((v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1))) <=> (v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194)))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32615,plain,
% 43.01/28.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194))))),
% 43.01/28.69 inference(monotonicity,[status(thm)],[32614])).
% 43.01/28.69 tff(32616,plain,
% 43.01/28.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194)))),
% 43.01/28.69 inference(transitivity,[status(thm)],[32615, 32613])).
% 43.01/28.69 tff(32617,plain,
% 43.01/28.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1)))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32618,plain,
% 43.01/28.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194))),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32617, 32616])).
% 43.01/28.69 tff(32619,plain,
% 43.01/28.69 (v90(constB194, bitIndex1) | (~v100(constB194))),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32618, 1174, 32612])).
% 43.01/28.69 tff(32620,plain,
% 43.01/28.69 (v90(constB194, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32619, 32507])).
% 43.01/28.69 tff(32621,plain,
% 43.01/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32622,plain,
% 43.01/28.69 (((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1)) <=> ((~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32623,plain,
% 43.01/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1)))),
% 43.01/28.69 inference(monotonicity,[status(thm)],[32622])).
% 43.01/28.69 tff(32624,plain,
% 43.01/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1))),
% 43.01/28.69 inference(transitivity,[status(thm)],[32623, 32621])).
% 43.01/28.69 tff(32625,plain,
% 43.01/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32626,plain,
% 43.01/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1)),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32625, 32624])).
% 43.01/28.69 tff(32627,plain,
% 43.01/28.69 ((~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32626, 1192, 32538])).
% 43.01/28.69 tff(32628,plain,
% 43.01/28.69 ((~v90(constB194, bitIndex1)) | v90(constB195, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32627, 32550])).
% 43.01/28.69 tff(32629,plain,
% 43.01/28.69 (v90(constB195, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32628, 32620])).
% 43.01/28.69 tff(32630,plain,
% 43.01/28.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB195, bitIndex1)) | v88(constB195, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB195, bitIndex1)) | v88(constB195, bitIndex1))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32631,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB195, bitIndex1)) | v88(constB195, bitIndex1))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32632,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB195, bitIndex1)) | v88(constB195, bitIndex1)),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32631, 32630])).
% 43.01/28.69 tff(32633,plain,
% 43.01/28.69 (v88(constB195, bitIndex1)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32632, 14543, 32629])).
% 43.01/28.69 tff(32634,plain,
% 43.01/28.69 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB195, bitIndex2)) | v144(constB195) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB195, bitIndex2)) | v144(constB195) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32635,plain,
% 43.01/28.69 (((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0) | v144(constB195)) <=> ((~v88(constB195, bitIndex2)) | v144(constB195) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32636,plain,
% 43.01/28.69 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0) | v144(constB195))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB195, bitIndex2)) | v144(constB195) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0)))),
% 43.01/28.69 inference(monotonicity,[status(thm)],[32635])).
% 43.01/28.69 tff(32637,plain,
% 43.01/28.69 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0) | v144(constB195))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB195, bitIndex2)) | v144(constB195) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0))),
% 43.01/28.69 inference(transitivity,[status(thm)],[32636, 32634])).
% 43.01/28.69 tff(32638,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0) | v144(constB195))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32639,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB195, bitIndex2)) | v144(constB195) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0)),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32638, 32637])).
% 43.01/28.69 tff(32640,plain,
% 43.01/28.69 (v144(constB195)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32639, 28163, 32633, 32598, 32563])).
% 43.01/28.69 tff(32641,plain,
% 43.01/28.69 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB195)) | v142(constB195))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB195)) | v142(constB195))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32642,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB195)) | v142(constB195))),
% 43.01/28.69 inference(quant_inst,[status(thm)],[])).
% 43.01/28.69 tff(32643,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB195)) | v142(constB195)),
% 43.01/28.69 inference(modus_ponens,[status(thm)],[32642, 32641])).
% 43.01/28.69 tff(32644,plain,
% 43.01/28.69 (v142(constB195)),
% 43.01/28.69 inference(unit_resolution,[status(thm)],[32643, 28177, 32640])).
% 43.01/28.69 tff(32645,plain,
% 43.01/28.69 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB195)) | v167(constB195))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB195)) | v167(constB195))),
% 43.01/28.69 inference(rewrite,[status(thm)],[])).
% 43.01/28.69 tff(32646,plain,
% 43.01/28.69 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB195)) | v167(constB195))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32647,plain,
% 43.10/28.69 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB195)) | v167(constB195)),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32646, 32645])).
% 43.10/28.69 tff(32648,plain,
% 43.10/28.69 (v167(constB195)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32647, 14582, 32644])).
% 43.10/28.69 tff(32649,plain,
% 43.10/28.69 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB195)) | (~v170(constB195)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB195)) | (~v170(constB195)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32650,plain,
% 43.10/28.69 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB195)) | (~v170(constB195)))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32651,plain,
% 43.10/28.69 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB195)) | (~v170(constB195))),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32650, 32649])).
% 43.10/28.69 tff(32652,plain,
% 43.10/28.69 (~v170(constB195)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32651, 14593, 32648])).
% 43.10/28.69 tff(32653,plain,
% 43.10/28.69 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB195) | (~v167(constB195)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB195) | (~v167(constB195)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32654,plain,
% 43.10/28.69 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB195) | (~v167(constB195)))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32655,plain,
% 43.10/28.69 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB195) | (~v167(constB195))),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32654, 32653])).
% 43.10/28.69 tff(32656,plain,
% 43.10/28.69 (v166(constB195)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32655, 14607, 32648])).
% 43.10/28.69 tff(32657,plain,
% 43.10/28.69 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB195)) | v170(constB195) | (~v166(constB195)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB195)) | v170(constB195) | (~v166(constB195)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32658,plain,
% 43.10/28.69 (((~v166(constB195)) | v170(constB195) | (~v163(constB195))) <=> ((~v163(constB195)) | v170(constB195) | (~v166(constB195)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32659,plain,
% 43.10/28.69 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB195)) | v170(constB195) | (~v163(constB195)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB195)) | v170(constB195) | (~v166(constB195))))),
% 43.10/28.69 inference(monotonicity,[status(thm)],[32658])).
% 43.10/28.69 tff(32660,plain,
% 43.10/28.69 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB195)) | v170(constB195) | (~v163(constB195)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB195)) | v170(constB195) | (~v166(constB195)))),
% 43.10/28.69 inference(transitivity,[status(thm)],[32659, 32657])).
% 43.10/28.69 tff(32661,plain,
% 43.10/28.69 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB195)) | v170(constB195) | (~v163(constB195)))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32662,plain,
% 43.10/28.69 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB195)) | v170(constB195) | (~v166(constB195))),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32661, 32660])).
% 43.10/28.69 tff(32663,plain,
% 43.10/28.69 (~v163(constB195)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32662, 14621, 32656, 32652])).
% 43.10/28.69 tff(32664,plain,
% 43.10/28.69 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32665,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 43.10/28.69 tff(32666,plain,
% 43.10/28.69 (nextState(constB195, constB196)),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32665, 32664])).
% 43.10/28.69 tff(32667,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB195) | (~nextState(constB195, constB196)) | (~v186(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB195) | (~nextState(constB195, constB196)) | (~v186(constB196)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32668,plain,
% 43.10/28.69 (((~nextState(constB195, constB196)) | v163(constB195) | (~v186(constB196))) <=> (v163(constB195) | (~nextState(constB195, constB196)) | (~v186(constB196)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32669,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB195, constB196)) | v163(constB195) | (~v186(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB195) | (~nextState(constB195, constB196)) | (~v186(constB196))))),
% 43.10/28.69 inference(monotonicity,[status(thm)],[32668])).
% 43.10/28.69 tff(32670,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB195, constB196)) | v163(constB195) | (~v186(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB195) | (~nextState(constB195, constB196)) | (~v186(constB196)))),
% 43.10/28.69 inference(transitivity,[status(thm)],[32669, 32667])).
% 43.10/28.69 tff(32671,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB195, constB196)) | v163(constB195) | (~v186(constB196)))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32672,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB195) | (~nextState(constB195, constB196)) | (~v186(constB196))),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32671, 32670])).
% 43.10/28.69 tff(32673,plain,
% 43.10/28.69 (v163(constB195) | (~v186(constB196))),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32672, 14641, 32666])).
% 43.10/28.69 tff(32674,plain,
% 43.10/28.69 (~v186(constB196)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32673, 32663])).
% 43.10/28.69 tff(32675,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32676,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32677,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196))),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32676, 32675])).
% 43.10/28.69 tff(32678,plain,
% 43.10/28.69 (~v104(constB196)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32677, 659, 32666, 32535])).
% 43.10/28.69 tff(32679,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB195, constB196)) | v181(constB196) | v104(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB195, constB196)) | v181(constB196) | v104(constB196))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32680,plain,
% 43.10/28.69 (((~nextState(constB195, constB196)) | v104(constB196) | v181(constB196)) <=> ((~nextState(constB195, constB196)) | v181(constB196) | v104(constB196))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32681,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB195, constB196)) | v104(constB196) | v181(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB195, constB196)) | v181(constB196) | v104(constB196)))),
% 43.10/28.69 inference(monotonicity,[status(thm)],[32680])).
% 43.10/28.69 tff(32682,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB195, constB196)) | v104(constB196) | v181(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB195, constB196)) | v181(constB196) | v104(constB196))),
% 43.10/28.69 inference(transitivity,[status(thm)],[32681, 32679])).
% 43.10/28.69 tff(32683,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB195, constB196)) | v104(constB196) | v181(constB196))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32684,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB195, constB196)) | v181(constB196) | v104(constB196)),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32683, 32682])).
% 43.10/28.69 tff(32685,plain,
% 43.10/28.69 (v181(constB196) | v104(constB196)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32684, 14663, 32666])).
% 43.10/28.69 tff(32686,plain,
% 43.10/28.69 (v181(constB196)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32685, 32678])).
% 43.10/28.69 tff(32687,plain,
% 43.10/28.69 (v1(constB196) <=> v1(constB196)),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32688,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 43.10/28.69 tff(32689,plain,
% 43.10/28.69 (v1(constB196)),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32688, 32687])).
% 43.10/28.69 tff(32690,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB195, constB196)) | v180(constB196) | (~v1(constB196)) | (~v181(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB195, constB196)) | v180(constB196) | (~v1(constB196)) | (~v181(constB196)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32691,plain,
% 43.10/28.69 (((~nextState(constB195, constB196)) | (~v1(constB196)) | v180(constB196) | (~v181(constB196))) <=> ((~nextState(constB195, constB196)) | v180(constB196) | (~v1(constB196)) | (~v181(constB196)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32692,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB195, constB196)) | (~v1(constB196)) | v180(constB196) | (~v181(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB195, constB196)) | v180(constB196) | (~v1(constB196)) | (~v181(constB196))))),
% 43.10/28.69 inference(monotonicity,[status(thm)],[32691])).
% 43.10/28.69 tff(32693,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB195, constB196)) | (~v1(constB196)) | v180(constB196) | (~v181(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB195, constB196)) | v180(constB196) | (~v1(constB196)) | (~v181(constB196)))),
% 43.10/28.69 inference(transitivity,[status(thm)],[32692, 32690])).
% 43.10/28.69 tff(32694,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB195, constB196)) | (~v1(constB196)) | v180(constB196) | (~v181(constB196)))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32695,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB195, constB196)) | v180(constB196) | (~v1(constB196)) | (~v181(constB196))),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32694, 32693])).
% 43.10/28.69 tff(32696,plain,
% 43.10/28.69 (v180(constB196) | (~v181(constB196))),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32695, 14684, 32666, 32689])).
% 43.10/28.69 tff(32697,plain,
% 43.10/28.69 (v180(constB196)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32696, 32686])).
% 43.10/28.69 tff(32698,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB195, constB196)) | v179(constB196) | (~v180(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB195, constB196)) | v179(constB196) | (~v180(constB196)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32699,plain,
% 43.10/28.69 (((~nextState(constB195, constB196)) | (~v180(constB196)) | v179(constB196)) <=> ((~nextState(constB195, constB196)) | v179(constB196) | (~v180(constB196)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32700,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB195, constB196)) | (~v180(constB196)) | v179(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB195, constB196)) | v179(constB196) | (~v180(constB196))))),
% 43.10/28.69 inference(monotonicity,[status(thm)],[32699])).
% 43.10/28.69 tff(32701,plain,
% 43.10/28.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB195, constB196)) | (~v180(constB196)) | v179(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB195, constB196)) | v179(constB196) | (~v180(constB196)))),
% 43.10/28.69 inference(transitivity,[status(thm)],[32700, 32698])).
% 43.10/28.69 tff(32702,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB195, constB196)) | (~v180(constB196)) | v179(constB196))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32703,plain,
% 43.10/28.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB195, constB196)) | v179(constB196) | (~v180(constB196))),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32702, 32701])).
% 43.10/28.69 tff(32704,plain,
% 43.10/28.69 (v179(constB196) | (~v180(constB196))),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32703, 14702, 32666])).
% 43.10/28.69 tff(32705,plain,
% 43.10/28.69 (v179(constB196)),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32704, 32697])).
% 43.10/28.69 tff(32706,plain,
% 43.10/28.69 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB196) | (~v159(constB196)) | (~v179(constB196)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB196) | (~v159(constB196)) | (~v179(constB196)))),
% 43.10/28.69 inference(rewrite,[status(thm)],[])).
% 43.10/28.69 tff(32707,plain,
% 43.10/28.69 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB196) | (~v159(constB196)) | (~v179(constB196)))),
% 43.10/28.69 inference(quant_inst,[status(thm)],[])).
% 43.10/28.69 tff(32708,plain,
% 43.10/28.69 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB196) | (~v159(constB196)) | (~v179(constB196))),
% 43.10/28.69 inference(modus_ponens,[status(thm)],[32707, 32706])).
% 43.10/28.69 tff(32709,plain,
% 43.10/28.69 (v186(constB196) | (~v159(constB196))),
% 43.10/28.69 inference(unit_resolution,[status(thm)],[32708, 14720, 32705])).
% 43.10/28.69 tff(32710,plain,
% 43.10/28.69 (~v159(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32709, 32674])).
% 43.10/28.70 tff(32711,plain,
% 43.10/28.70 ((~v1(constB197)) <=> (~v1(constB197))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32712,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 43.10/28.70 tff(32713,plain,
% 43.10/28.70 (~v1(constB197)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32712, 32711])).
% 43.10/28.70 tff(32714,plain,
% 43.10/28.70 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32715,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 43.10/28.70 tff(32716,plain,
% 43.10/28.70 (nextState(constB196, constB197)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32715, 32714])).
% 43.10/28.70 tff(32717,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v180(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v180(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32718,plain,
% 43.10/28.70 (((~nextState(constB196, constB197)) | v1(constB197) | (~v180(constB197))) <=> (v1(constB197) | (~nextState(constB196, constB197)) | (~v180(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32719,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB196, constB197)) | v1(constB197) | (~v180(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v180(constB197))))),
% 43.10/28.70 inference(monotonicity,[status(thm)],[32718])).
% 43.10/28.70 tff(32720,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB196, constB197)) | v1(constB197) | (~v180(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v180(constB197)))),
% 43.10/28.70 inference(transitivity,[status(thm)],[32719, 32717])).
% 43.10/28.70 tff(32721,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB196, constB197)) | v1(constB197) | (~v180(constB197)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32722,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v180(constB197))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32721, 32720])).
% 43.10/28.70 tff(32723,plain,
% 43.10/28.70 (~v180(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32722, 14741, 32716, 32713])).
% 43.10/28.70 tff(32724,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB196, constB197)) | v180(constB197) | (~v179(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB196, constB197)) | v180(constB197) | (~v179(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32725,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB196, constB197)) | v180(constB197) | (~v179(constB197)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32726,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB196, constB197)) | v180(constB197) | (~v179(constB197))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32725, 32724])).
% 43.10/28.70 tff(32727,plain,
% 43.10/28.70 (v180(constB197) | (~v179(constB197))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32726, 14758, 32716])).
% 43.10/28.70 tff(32728,plain,
% 43.10/28.70 (~v179(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32727, 32723])).
% 43.10/28.70 tff(32729,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB196) | (~nextState(constB196, constB197)) | v179(constB197) | (~v159(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB196) | (~nextState(constB196, constB197)) | v179(constB197) | (~v159(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32730,plain,
% 43.10/28.70 (((~nextState(constB196, constB197)) | v179(constB197) | v159(constB196) | (~v159(constB197))) <=> (v159(constB196) | (~nextState(constB196, constB197)) | v179(constB197) | (~v159(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32731,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB196, constB197)) | v179(constB197) | v159(constB196) | (~v159(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB196) | (~nextState(constB196, constB197)) | v179(constB197) | (~v159(constB197))))),
% 43.10/28.70 inference(monotonicity,[status(thm)],[32730])).
% 43.10/28.70 tff(32732,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB196, constB197)) | v179(constB197) | v159(constB196) | (~v159(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB196) | (~nextState(constB196, constB197)) | v179(constB197) | (~v159(constB197)))),
% 43.10/28.70 inference(transitivity,[status(thm)],[32731, 32729])).
% 43.10/28.70 tff(32733,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB196, constB197)) | v179(constB197) | v159(constB196) | (~v159(constB197)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32734,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB196) | (~nextState(constB196, constB197)) | v179(constB197) | (~v159(constB197))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32733, 32732])).
% 43.10/28.70 tff(32735,plain,
% 43.10/28.70 (v159(constB196) | v179(constB197) | (~v159(constB197))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32734, 14773, 32716])).
% 43.10/28.70 tff(32736,plain,
% 43.10/28.70 (v159(constB196) | (~v159(constB197))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32735, 32728])).
% 43.10/28.70 tff(32737,plain,
% 43.10/28.70 (~v159(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32736, 32710])).
% 43.10/28.70 tff(32738,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB197) | (~v201(constB197)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB197) | (~v201(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32739,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB197) | (~v201(constB197)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32740,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB197) | (~v201(constB197))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32739, 32738])).
% 43.10/28.70 tff(32741,plain,
% 43.10/28.70 (~v201(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32740, 14792, 32737])).
% 43.10/28.70 tff(32742,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB197) | (~v200(constB197)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB197) | (~v200(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32743,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB197) | (~v200(constB197)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32744,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB197) | (~v200(constB197))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32743, 32742])).
% 43.10/28.70 tff(32745,plain,
% 43.10/28.70 (~v200(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32744, 14806, 32741])).
% 43.10/28.70 tff(32746,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB197) | (~v198(constB197)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB197) | (~v198(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32747,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB197) | (~v198(constB197)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32748,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB197) | (~v198(constB197))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32747, 32746])).
% 43.10/28.70 tff(32749,plain,
% 43.10/28.70 (~v198(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32748, 14820, 32745])).
% 43.10/28.70 tff(32750,assumption,(v18(constB198)), introduced(assumption)).
% 43.10/28.70 tff(32751,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB198))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32752,plain,
% 43.10/28.70 ($false),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32751, 138, 32750])).
% 43.10/28.70 tff(32753,plain,(~v18(constB198)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.70 tff(32754,plain,
% 43.10/28.70 (v1(constB198) <=> v1(constB198)),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32755,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 43.10/28.70 tff(32756,plain,
% 43.10/28.70 (v1(constB198)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32755, 32754])).
% 43.10/28.70 tff(32757,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32758,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32759,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32758, 32757])).
% 43.10/28.70 tff(32760,plain,
% 43.10/28.70 (v22(constB198)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32759, 154, 32756])).
% 43.10/28.70 tff(32761,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB198) | (~v22(constB198)) | (~v19(constB198)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB198) | (~v22(constB198)) | (~v19(constB198)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32762,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB198) | (~v22(constB198)) | (~v19(constB198)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32763,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB198) | (~v22(constB198)) | (~v19(constB198))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32762, 32761])).
% 43.10/28.70 tff(32764,plain,
% 43.10/28.70 (v18(constB198) | (~v19(constB198))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32763, 168, 32760])).
% 43.10/28.70 tff(32765,plain,
% 43.10/28.70 (~v19(constB198)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32764, 32753])).
% 43.10/28.70 tff(32766,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32767,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32768,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32767, 32766])).
% 43.10/28.70 tff(32769,plain,
% 43.10/28.70 (v13(constB198)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32768, 180, 32765])).
% 43.10/28.70 tff(32770,plain,
% 43.10/28.70 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32771,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 43.10/28.70 tff(32772,plain,
% 43.10/28.70 (nextState(constB197, constB198)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32771, 32770])).
% 43.10/28.70 tff(32773,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32774,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32775,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32774, 32773])).
% 43.10/28.70 tff(32776,plain,
% 43.10/28.70 (v9(constB197) | (~v13(constB198))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32775, 197, 32772])).
% 43.10/28.70 tff(32777,plain,
% 43.10/28.70 (v9(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32776, 32769])).
% 43.10/28.70 tff(32778,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v197(constB197))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB197) | (~v9(constB197)) | v197(constB197))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32779,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v197(constB197))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32780,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB197) | (~v9(constB197)) | v197(constB197)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 43.10/28.70 tff(32781,plain,
% 43.10/28.70 ((~v9(constB197)) | v197(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32780, 15020, 32713])).
% 43.10/28.70 tff(32782,plain,
% 43.10/28.70 (v197(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32781, 32777])).
% 43.10/28.70 tff(32783,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB197)) | v196(constB197))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB197)) | v196(constB197))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32784,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB197)) | v196(constB197))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32785,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB197)) | v196(constB197)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32784, 32783])).
% 43.10/28.70 tff(32786,plain,
% 43.10/28.70 (v196(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32785, 15032, 32782])).
% 43.10/28.70 tff(32787,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB197)) | (~v196(constB197)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB197)) | (~v196(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32788,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB197)) | (~v196(constB197)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32789,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB197)) | (~v196(constB197))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32788, 32787])).
% 43.10/28.70 tff(32790,plain,
% 43.10/28.70 (~v194(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32789, 15046, 32786])).
% 43.10/28.70 tff(32791,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB197) | v198(constB197) | (~v191(constB197)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB197) | v198(constB197) | (~v191(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32792,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB197) | v198(constB197) | (~v191(constB197)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32793,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB197) | v198(constB197) | (~v191(constB197))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32792, 32791])).
% 43.10/28.70 tff(32794,plain,
% 43.10/28.70 (v198(constB197) | (~v191(constB197))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32793, 15060, 32790])).
% 43.10/28.70 tff(32795,plain,
% 43.10/28.70 (~v191(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32794, 32749])).
% 43.10/28.70 tff(32796,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB197, constB198)) | v191(constB197) | (~v193(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB197, constB198)) | v191(constB197) | (~v193(constB198)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32797,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB197, constB198)) | v191(constB197) | (~v193(constB198)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32798,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB197, constB198)) | v191(constB197) | (~v193(constB198))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32797, 32796])).
% 43.10/28.70 tff(32799,plain,
% 43.10/28.70 (v191(constB197) | (~v193(constB198))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32798, 15075, 32772])).
% 43.10/28.70 tff(32800,plain,
% 43.10/28.70 (~v193(constB198)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32799, 32795])).
% 43.10/28.70 tff(32801,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB198) | (~v194(constB198)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB198) | (~v194(constB198)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32802,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB198) | (~v194(constB198)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32803,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB198) | (~v194(constB198))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32802, 32801])).
% 43.10/28.70 tff(32804,plain,
% 43.10/28.70 (~v194(constB198)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32803, 15090, 32800])).
% 43.10/28.70 tff(32805,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB198)) | (~v197(constB198)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB198)) | (~v197(constB198)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32806,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB198)) | (~v197(constB198)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32807,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB198)) | (~v197(constB198))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32806, 32805])).
% 43.10/28.70 tff(32808,plain,
% 43.10/28.70 (~v197(constB198)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32807, 59, 32756])).
% 43.10/28.70 tff(32809,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB198) | (~v200(constB198)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB198) | (~v200(constB198)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32810,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB198) | (~v200(constB198)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32811,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB198) | (~v200(constB198))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 43.10/28.70 tff(32812,plain,
% 43.10/28.70 (~v200(constB198)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32811, 15108, 32808])).
% 43.10/28.70 tff(32813,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB198) | (~v198(constB198)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB198) | (~v198(constB198)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32814,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB198) | (~v198(constB198)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32815,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB198) | (~v198(constB198))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32814, 32813])).
% 43.10/28.70 tff(32816,plain,
% 43.10/28.70 (~v198(constB198)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32815, 14820, 32812])).
% 43.10/28.70 tff(32817,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB198) | v198(constB198) | (~v191(constB198)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB198) | v198(constB198) | (~v191(constB198)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32818,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB198) | v198(constB198) | (~v191(constB198)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32819,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB198) | v198(constB198) | (~v191(constB198))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32818, 32817])).
% 43.10/28.70 tff(32820,plain,
% 43.10/28.70 (v194(constB198) | (~v191(constB198))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32819, 15060, 32816])).
% 43.10/28.70 tff(32821,plain,
% 43.10/28.70 (~v191(constB198)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32820, 32804])).
% 43.10/28.70 tff(32822,plain,
% 43.10/28.70 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32823,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 43.10/28.70 tff(32824,plain,
% 43.10/28.70 (nextState(constB198, constB199)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32823, 32822])).
% 43.10/28.70 tff(32825,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB198, constB199)) | v191(constB198) | (~v193(constB199)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB198, constB199)) | v191(constB198) | (~v193(constB199)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32826,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB198, constB199)) | v191(constB198) | (~v193(constB199)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32827,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB198, constB199)) | v191(constB198) | (~v193(constB199))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32826, 32825])).
% 43.10/28.70 tff(32828,plain,
% 43.10/28.70 (v191(constB198) | (~v193(constB199))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32827, 15075, 32824])).
% 43.10/28.70 tff(32829,plain,
% 43.10/28.70 (~v193(constB199)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32828, 32821])).
% 43.10/28.70 tff(32830,assumption,(constB199 = sK0_VarCurr), introduced(assumption)).
% 43.10/28.70 tff(32831,plain,
% 43.10/28.70 (v193(constB199) <=> v193(sK0_VarCurr)),
% 43.10/28.70 inference(monotonicity,[status(thm)],[32830])).
% 43.10/28.70 tff(32832,plain,
% 43.10/28.70 (v193(sK0_VarCurr) <=> v193(constB199)),
% 43.10/28.70 inference(symmetry,[status(thm)],[32831])).
% 43.10/28.70 tff(32833,plain,
% 43.10/28.70 (v193(constB199)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[86, 32832])).
% 43.10/28.70 tff(32834,assumption,(~v193(constB199)), introduced(assumption)).
% 43.10/28.70 tff(32835,plain,
% 43.10/28.70 ($false),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32834, 32833])).
% 43.10/28.70 tff(32836,plain,((~(constB199 = sK0_VarCurr)) | v193(constB199)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.70 tff(32837,plain,
% 43.10/28.70 (~(constB199 = sK0_VarCurr)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32836, 32829])).
% 43.10/28.70 tff(32838,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB195) | (~v201(constB195)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB195) | (~v201(constB195)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32839,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB195) | (~v201(constB195)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32840,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB195) | (~v201(constB195))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32839, 32838])).
% 43.10/28.70 tff(32841,plain,
% 43.10/28.70 (~v201(constB195)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32840, 28717, 32663])).
% 43.10/28.70 tff(32842,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB195) | (~v200(constB195)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB195) | (~v200(constB195)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32843,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB195) | (~v200(constB195)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32844,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB195) | (~v200(constB195))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32843, 32842])).
% 43.10/28.70 tff(32845,plain,
% 43.10/28.70 (~v200(constB195)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32844, 14806, 32841])).
% 43.10/28.70 tff(32846,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB195) | (~v198(constB195)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB195) | (~v198(constB195)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32847,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB195) | (~v198(constB195)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32848,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB195) | (~v198(constB195))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32847, 32846])).
% 43.10/28.70 tff(32849,plain,
% 43.10/28.70 (~v198(constB195)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32848, 14820, 32845])).
% 43.10/28.70 tff(32850,assumption,(v18(constB196)), introduced(assumption)).
% 43.10/28.70 tff(32851,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB196))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32852,plain,
% 43.10/28.70 ($false),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32851, 138, 32850])).
% 43.10/28.70 tff(32853,plain,(~v18(constB196)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.70 tff(32854,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32855,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32856,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32855, 32854])).
% 43.10/28.70 tff(32857,plain,
% 43.10/28.70 (v22(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32856, 154, 32689])).
% 43.10/28.70 tff(32858,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB196) | (~v22(constB196)) | (~v19(constB196)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB196) | (~v22(constB196)) | (~v19(constB196)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32859,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB196) | (~v22(constB196)) | (~v19(constB196)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32860,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB196) | (~v22(constB196)) | (~v19(constB196))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32859, 32858])).
% 43.10/28.70 tff(32861,plain,
% 43.10/28.70 (v18(constB196) | (~v19(constB196))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32860, 168, 32857])).
% 43.10/28.70 tff(32862,plain,
% 43.10/28.70 (~v19(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32861, 32853])).
% 43.10/28.70 tff(32863,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32864,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32865,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32864, 32863])).
% 43.10/28.70 tff(32866,plain,
% 43.10/28.70 (v13(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32865, 180, 32862])).
% 43.10/28.70 tff(32867,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32868,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32869,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32868, 32867])).
% 43.10/28.70 tff(32870,plain,
% 43.10/28.70 (v9(constB195) | (~v13(constB196))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32869, 197, 32666])).
% 43.10/28.70 tff(32871,plain,
% 43.10/28.70 (v9(constB195)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32870, 32866])).
% 43.10/28.70 tff(32872,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v197(constB195))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB195) | (~v9(constB195)) | v197(constB195))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32873,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v197(constB195))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32874,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB195) | (~v9(constB195)) | v197(constB195)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32873, 32872])).
% 43.10/28.70 tff(32875,plain,
% 43.10/28.70 ((~v9(constB195)) | v197(constB195)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32874, 15020, 32535])).
% 43.10/28.70 tff(32876,plain,
% 43.10/28.70 (v197(constB195)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32875, 32871])).
% 43.10/28.70 tff(32877,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB195)) | v196(constB195))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB195)) | v196(constB195))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32878,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB195)) | v196(constB195))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32879,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB195)) | v196(constB195)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32878, 32877])).
% 43.10/28.70 tff(32880,plain,
% 43.10/28.70 (v196(constB195)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32879, 15032, 32876])).
% 43.10/28.70 tff(32881,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB195)) | (~v196(constB195)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB195)) | (~v196(constB195)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32882,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB195)) | (~v196(constB195)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32883,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB195)) | (~v196(constB195))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32882, 32881])).
% 43.10/28.70 tff(32884,plain,
% 43.10/28.70 (~v194(constB195)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32883, 15046, 32880])).
% 43.10/28.70 tff(32885,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB195) | v198(constB195) | (~v191(constB195)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB195) | v198(constB195) | (~v191(constB195)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32886,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB195) | v198(constB195) | (~v191(constB195)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32887,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB195) | v198(constB195) | (~v191(constB195))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32886, 32885])).
% 43.10/28.70 tff(32888,plain,
% 43.10/28.70 (v198(constB195) | (~v191(constB195))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32887, 15060, 32884])).
% 43.10/28.70 tff(32889,plain,
% 43.10/28.70 (~v191(constB195)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32888, 32849])).
% 43.10/28.70 tff(32890,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB195, constB196)) | v191(constB195) | (~v193(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB195, constB196)) | v191(constB195) | (~v193(constB196)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32891,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB195, constB196)) | v191(constB195) | (~v193(constB196)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32892,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB195, constB196)) | v191(constB195) | (~v193(constB196))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32891, 32890])).
% 43.10/28.70 tff(32893,plain,
% 43.10/28.70 (v191(constB195) | (~v193(constB196))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32892, 15075, 32666])).
% 43.10/28.70 tff(32894,plain,
% 43.10/28.70 (~v193(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32893, 32889])).
% 43.10/28.70 tff(32895,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB196) | (~v194(constB196)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB196) | (~v194(constB196)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32896,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB196) | (~v194(constB196)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32897,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB196) | (~v194(constB196))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32896, 32895])).
% 43.10/28.70 tff(32898,plain,
% 43.10/28.70 (~v194(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32897, 15090, 32894])).
% 43.10/28.70 tff(32899,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB196)) | (~v197(constB196)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB196)) | (~v197(constB196)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32900,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB196)) | (~v197(constB196)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32901,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB196)) | (~v197(constB196))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32900, 32899])).
% 43.10/28.70 tff(32902,plain,
% 43.10/28.70 (~v197(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32901, 59, 32689])).
% 43.10/28.70 tff(32903,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB196) | (~v200(constB196)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB196) | (~v200(constB196)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32904,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB196) | (~v200(constB196)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32905,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB196) | (~v200(constB196))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32904, 32903])).
% 43.10/28.70 tff(32906,plain,
% 43.10/28.70 (~v200(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32905, 15108, 32902])).
% 43.10/28.70 tff(32907,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB196) | (~v198(constB196)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB196) | (~v198(constB196)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32908,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB196) | (~v198(constB196)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32909,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB196) | (~v198(constB196))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32908, 32907])).
% 43.10/28.70 tff(32910,plain,
% 43.10/28.70 (~v198(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32909, 14820, 32906])).
% 43.10/28.70 tff(32911,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB196) | v198(constB196) | (~v191(constB196)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB196) | v198(constB196) | (~v191(constB196)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32912,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB196) | v198(constB196) | (~v191(constB196)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32913,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB196) | v198(constB196) | (~v191(constB196))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32912, 32911])).
% 43.10/28.70 tff(32914,plain,
% 43.10/28.70 (v194(constB196) | (~v191(constB196))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32913, 15060, 32910])).
% 43.10/28.70 tff(32915,plain,
% 43.10/28.70 (~v191(constB196)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32914, 32898])).
% 43.10/28.70 tff(32916,plain,
% 43.10/28.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB196, constB197)) | v191(constB196) | (~v193(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB196, constB197)) | v191(constB196) | (~v193(constB197)))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32917,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB196, constB197)) | v191(constB196) | (~v193(constB197)))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32918,plain,
% 43.10/28.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB196, constB197)) | v191(constB196) | (~v193(constB197))),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32917, 32916])).
% 43.10/28.70 tff(32919,plain,
% 43.10/28.70 (v191(constB196) | (~v193(constB197))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32918, 15075, 32716])).
% 43.10/28.70 tff(32920,plain,
% 43.10/28.70 (~v193(constB197)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32919, 32915])).
% 43.10/28.70 tff(32921,assumption,(constB197 = sK0_VarCurr), introduced(assumption)).
% 43.10/28.70 tff(32922,plain,
% 43.10/28.70 (v193(constB197) <=> v193(sK0_VarCurr)),
% 43.10/28.70 inference(monotonicity,[status(thm)],[32921])).
% 43.10/28.70 tff(32923,plain,
% 43.10/28.70 (v193(sK0_VarCurr) <=> v193(constB197)),
% 43.10/28.70 inference(symmetry,[status(thm)],[32922])).
% 43.10/28.70 tff(32924,plain,
% 43.10/28.70 (v193(constB197)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[86, 32923])).
% 43.10/28.70 tff(32925,assumption,(~v193(constB197)), introduced(assumption)).
% 43.10/28.70 tff(32926,plain,
% 43.10/28.70 ($false),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32925, 32924])).
% 43.10/28.70 tff(32927,plain,((~(constB197 = sK0_VarCurr)) | v193(constB197)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.70 tff(32928,plain,
% 43.10/28.70 (~(constB197 = sK0_VarCurr)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32927, 32920])).
% 43.10/28.70 tff(32929,plain,
% 43.10/28.70 (v117(constB139)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19281, 1881, 19274])).
% 43.10/28.70 tff(32930,plain,
% 43.10/28.70 (v116(constB139)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19288, 525, 32929])).
% 43.10/28.70 tff(32931,plain,
% 43.10/28.70 (v115(constB139)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19295, 539, 32930])).
% 43.10/28.70 tff(32932,plain,
% 43.10/28.70 (v114(constB139)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19302, 553, 32931])).
% 43.10/28.70 tff(32933,plain,
% 43.10/28.70 (v113(constB139)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19309, 567, 32932])).
% 43.10/28.70 tff(32934,plain,
% 43.10/28.70 (v112(constB139)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19321, 32933])).
% 43.10/28.70 tff(32935,plain,
% 43.10/28.70 (v108(constB139)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19328, 746, 32934])).
% 43.10/28.70 tff(32936,plain,
% 43.10/28.70 (v110(constB140)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19339, 32935])).
% 43.10/28.70 tff(32937,plain,
% 43.10/28.70 (v100(constB140)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19371, 32936])).
% 43.10/28.70 tff(32938,plain,
% 43.10/28.70 (v130(constB139, bitIndex1)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19455, 2050, 19274])).
% 43.10/28.70 tff(32939,plain,
% 43.10/28.70 (v127(constB139, bitIndex1)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19460, 32938])).
% 43.10/28.70 tff(32940,plain,
% 43.10/28.70 (v129(constB140, bitIndex1)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19465, 32939])).
% 43.10/28.70 tff(32941,plain,
% 43.10/28.70 (v90(constB140, bitIndex1) | (~v100(constB140))),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19472, 1174, 32940])).
% 43.10/28.70 tff(32942,plain,
% 43.10/28.70 (v90(constB140, bitIndex1)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32941, 32937])).
% 43.10/28.70 tff(32943,plain,
% 43.10/28.70 (v90(constB141, bitIndex1)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19482, 32942])).
% 43.10/28.70 tff(32944,plain,
% 43.10/28.70 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1))),
% 43.10/28.70 inference(rewrite,[status(thm)],[])).
% 43.10/28.70 tff(32945,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1))),
% 43.10/28.70 inference(quant_inst,[status(thm)],[])).
% 43.10/28.70 tff(32946,plain,
% 43.10/28.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1)),
% 43.10/28.70 inference(modus_ponens,[status(thm)],[32945, 32944])).
% 43.10/28.70 tff(32947,plain,
% 43.10/28.70 (v88(constB141, bitIndex1)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[32946, 14543, 32943])).
% 43.10/28.70 tff(32948,plain,
% 43.10/28.70 (~v130(constB139, bitIndex2)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19375, 1990, 19274])).
% 43.10/28.70 tff(32949,plain,
% 43.10/28.70 (~v127(constB139, bitIndex2)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19383, 32948])).
% 43.10/28.70 tff(32950,plain,
% 43.10/28.70 (~v129(constB140, bitIndex2)),
% 43.10/28.70 inference(unit_resolution,[status(thm)],[19388, 32949])).
% 43.10/28.71 tff(32951,plain,
% 43.10/28.71 ((~v90(constB140, bitIndex2)) | (~v100(constB140))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[19392, 1452, 32950])).
% 43.10/28.71 tff(32952,plain,
% 43.10/28.71 (~v90(constB140, bitIndex2)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[32951, 32937])).
% 43.10/28.71 tff(32953,plain,
% 43.10/28.71 (~v90(constB141, bitIndex2)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[19420, 32952])).
% 43.10/28.71 tff(32954,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB141, bitIndex2)) | v90(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB141, bitIndex2)) | v90(constB141, bitIndex2))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32955,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB141, bitIndex2)) | v90(constB141, bitIndex2))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(32956,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB141, bitIndex2)) | v90(constB141, bitIndex2)),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[32955, 32954])).
% 43.10/28.71 tff(32957,plain,
% 43.10/28.71 (~v88(constB141, bitIndex2)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[32956, 14456, 32953])).
% 43.10/28.71 tff(32958,plain,
% 43.10/28.71 (v130(constB139, bitIndex0)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[19424, 2088, 19274])).
% 43.10/28.71 tff(32959,plain,
% 43.10/28.71 (v127(constB139, bitIndex0)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[19429, 32958])).
% 43.10/28.71 tff(32960,plain,
% 43.10/28.71 (v129(constB140, bitIndex0)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[19434, 32959])).
% 43.10/28.71 tff(32961,plain,
% 43.10/28.71 (v90(constB140, bitIndex0) | (~v100(constB140))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[19441, 1582, 32960])).
% 43.10/28.71 tff(32962,plain,
% 43.10/28.71 (v90(constB140, bitIndex0)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[32961, 32937])).
% 43.10/28.71 tff(32963,plain,
% 43.10/28.71 (v90(constB141, bitIndex0)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[19451, 32962])).
% 43.10/28.71 tff(32964,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32965,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(32966,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0)),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[32965, 32964])).
% 43.10/28.71 tff(32967,plain,
% 43.10/28.71 (v88(constB141, bitIndex0)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[32966, 14846, 32963])).
% 43.10/28.71 tff(32968,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32969,plain,
% 43.10/28.71 ((v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141)) <=> (v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32970,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1))))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[32969])).
% 43.10/28.71 tff(32971,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1)))),
% 43.10/28.71 inference(transitivity,[status(thm)],[32970, 32968])).
% 43.10/28.71 tff(32972,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(32973,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v141(constB141) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | (~v88(constB141, bitIndex1))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[32972, 32971])).
% 43.10/28.71 tff(32974,plain,
% 43.10/28.71 (v141(constB141)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[32973, 15902, 32967, 32957, 32947])).
% 43.10/28.71 tff(32975,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (v168(constB141) | (~v141(constB141)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB141) | (~v141(constB141)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32976,plain,
% 43.10/28.71 (((~v141(constB141)) | v168(constB141)) <=> (v168(constB141) | (~v141(constB141)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32977,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB141)) | v168(constB141))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (v168(constB141) | (~v141(constB141))))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[32976])).
% 43.10/28.71 tff(32978,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB141)) | v168(constB141))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB141) | (~v141(constB141)))),
% 43.10/28.71 inference(transitivity,[status(thm)],[32977, 32975])).
% 43.10/28.71 tff(32979,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB141)) | v168(constB141))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(32980,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB141) | (~v141(constB141))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[32979, 32978])).
% 43.10/28.71 tff(32981,plain,
% 43.10/28.71 (v168(constB141)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[32980, 15916, 32974])).
% 43.10/28.71 tff(32982,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB141) | (~v168(constB141)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB141) | (~v168(constB141)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32983,plain,
% 43.10/28.71 (((~v168(constB141)) | v167(constB141)) <=> (v167(constB141) | (~v168(constB141)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32984,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB141)) | v167(constB141))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB141) | (~v168(constB141))))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[32983])).
% 43.10/28.71 tff(32985,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB141)) | v167(constB141))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB141) | (~v168(constB141)))),
% 43.10/28.71 inference(transitivity,[status(thm)],[32984, 32982])).
% 43.10/28.71 tff(32986,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB141)) | v167(constB141))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(32987,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB141) | (~v168(constB141))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[32986, 32985])).
% 43.10/28.71 tff(32988,plain,
% 43.10/28.71 (v167(constB141)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[32987, 14899, 32981])).
% 43.10/28.71 tff(32989,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB141)) | (~v170(constB141)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB141)) | (~v170(constB141)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32990,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB141)) | (~v170(constB141)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(32991,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB141)) | (~v170(constB141))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[32990, 32989])).
% 43.10/28.71 tff(32992,plain,
% 43.10/28.71 (~v170(constB141)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[32991, 14593, 32988])).
% 43.10/28.71 tff(32993,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB141) | (~v167(constB141)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB141) | (~v167(constB141)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32994,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB141) | (~v167(constB141)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(32995,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB141) | (~v167(constB141))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[32994, 32993])).
% 43.10/28.71 tff(32996,plain,
% 43.10/28.71 (v166(constB141)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[32995, 14607, 32988])).
% 43.10/28.71 tff(32997,plain,
% 43.10/28.71 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB141)) | (~v166(constB141)) | v170(constB141))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB141)) | (~v166(constB141)) | v170(constB141))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32998,plain,
% 43.10/28.71 (((~v166(constB141)) | v170(constB141) | (~v163(constB141))) <=> ((~v163(constB141)) | (~v166(constB141)) | v170(constB141))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(32999,plain,
% 43.10/28.71 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB141)) | v170(constB141) | (~v163(constB141)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB141)) | (~v166(constB141)) | v170(constB141)))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[32998])).
% 43.10/28.71 tff(33000,plain,
% 43.10/28.71 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB141)) | v170(constB141) | (~v163(constB141)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB141)) | (~v166(constB141)) | v170(constB141))),
% 43.10/28.71 inference(transitivity,[status(thm)],[32999, 32997])).
% 43.10/28.71 tff(33001,plain,
% 43.10/28.71 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB141)) | v170(constB141) | (~v163(constB141)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33002,plain,
% 43.10/28.71 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB141)) | (~v166(constB141)) | v170(constB141)),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33001, 33000])).
% 43.10/28.71 tff(33003,plain,
% 43.10/28.71 (~v163(constB141)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33002, 14621, 32996, 32992])).
% 43.10/28.71 tff(33004,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33005,plain,
% 43.10/28.71 (((~nextState(constB141, constB142)) | v163(constB141) | (~v186(constB142))) <=> (v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33006,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB141, constB142)) | v163(constB141) | (~v186(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142))))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[33005])).
% 43.10/28.71 tff(33007,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB141, constB142)) | v163(constB141) | (~v186(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142)))),
% 43.10/28.71 inference(transitivity,[status(thm)],[33006, 33004])).
% 43.10/28.71 tff(33008,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB141, constB142)) | v163(constB141) | (~v186(constB142)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33009,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB141) | (~nextState(constB141, constB142)) | (~v186(constB142))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33008, 33007])).
% 43.10/28.71 tff(33010,plain,
% 43.10/28.71 (v163(constB141) | (~v186(constB142))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33009, 14641, 19604])).
% 43.10/28.71 tff(33011,plain,
% 43.10/28.71 (~v186(constB142)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33010, 33003])).
% 43.10/28.71 tff(33012,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v181(constB142) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB141, constB142)) | v181(constB142) | v104(constB142))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33013,plain,
% 43.10/28.71 (((~nextState(constB141, constB142)) | v104(constB142) | v181(constB142)) <=> ((~nextState(constB141, constB142)) | v181(constB142) | v104(constB142))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33014,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v181(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v181(constB142) | v104(constB142)))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[33013])).
% 43.10/28.71 tff(33015,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v181(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB141, constB142)) | v181(constB142) | v104(constB142))),
% 43.10/28.71 inference(transitivity,[status(thm)],[33014, 33012])).
% 43.10/28.71 tff(33016,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v181(constB142))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33017,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB141, constB142)) | v181(constB142) | v104(constB142)),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33016, 33015])).
% 43.10/28.71 tff(33018,plain,
% 43.10/28.71 (v181(constB142) | v104(constB142)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33017, 14663, 19604])).
% 43.10/28.71 tff(33019,plain,
% 43.10/28.71 (v181(constB142)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33018, 19616])).
% 43.10/28.71 tff(33020,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33021,plain,
% 43.10/28.71 (((~nextState(constB141, constB142)) | (~v1(constB142)) | v180(constB142) | (~v181(constB142))) <=> ((~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33022,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v180(constB142) | (~v181(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142))))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[33021])).
% 43.10/28.71 tff(33023,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v180(constB142) | (~v181(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142)))),
% 43.10/28.71 inference(transitivity,[status(thm)],[33022, 33020])).
% 43.10/28.71 tff(33024,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v180(constB142) | (~v181(constB142)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33025,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB141, constB142)) | v180(constB142) | (~v1(constB142)) | (~v181(constB142))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33024, 33023])).
% 43.10/28.71 tff(33026,plain,
% 43.10/28.71 (v180(constB142) | (~v181(constB142))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33025, 14684, 19604, 19627])).
% 43.10/28.71 tff(33027,plain,
% 43.10/28.71 (v180(constB142)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33026, 33019])).
% 43.10/28.71 tff(33028,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33029,plain,
% 43.10/28.71 (((~nextState(constB141, constB142)) | (~v180(constB142)) | v179(constB142)) <=> ((~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33030,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB141, constB142)) | (~v180(constB142)) | v179(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142))))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[33029])).
% 43.10/28.71 tff(33031,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB141, constB142)) | (~v180(constB142)) | v179(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142)))),
% 43.10/28.71 inference(transitivity,[status(thm)],[33030, 33028])).
% 43.10/28.71 tff(33032,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB141, constB142)) | (~v180(constB142)) | v179(constB142))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33033,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB141, constB142)) | v179(constB142) | (~v180(constB142))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33032, 33031])).
% 43.10/28.71 tff(33034,plain,
% 43.10/28.71 (v179(constB142) | (~v180(constB142))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33033, 14702, 19604])).
% 43.10/28.71 tff(33035,plain,
% 43.10/28.71 (v179(constB142)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33034, 33027])).
% 43.10/28.71 tff(33036,plain,
% 43.10/28.71 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB142) | (~v159(constB142)) | (~v179(constB142)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB142) | (~v159(constB142)) | (~v179(constB142)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33037,plain,
% 43.10/28.71 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB142) | (~v159(constB142)) | (~v179(constB142)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33038,plain,
% 43.10/28.71 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB142) | (~v159(constB142)) | (~v179(constB142))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33037, 33036])).
% 43.10/28.71 tff(33039,plain,
% 43.10/28.71 (v186(constB142) | (~v159(constB142))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33038, 14720, 33035])).
% 43.10/28.71 tff(33040,plain,
% 43.10/28.71 (~v159(constB142)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33039, 33011])).
% 43.10/28.71 tff(33041,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33042,plain,
% 43.10/28.71 (((~nextState(constB142, constB143)) | v1(constB143) | (~v180(constB143))) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33043,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB142, constB143)) | v1(constB143) | (~v180(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143))))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[33042])).
% 43.10/28.71 tff(33044,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB142, constB143)) | v1(constB143) | (~v180(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143)))),
% 43.10/28.71 inference(transitivity,[status(thm)],[33043, 33041])).
% 43.10/28.71 tff(33045,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB142, constB143)) | v1(constB143) | (~v180(constB143)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33046,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v180(constB143))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33045, 33044])).
% 43.10/28.71 tff(33047,plain,
% 43.10/28.71 (~v180(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33046, 14741, 19676, 19673])).
% 43.10/28.71 tff(33048,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33049,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33050,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB142, constB143)) | v180(constB143) | (~v179(constB143))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33049, 33048])).
% 43.10/28.71 tff(33051,plain,
% 43.10/28.71 (v180(constB143) | (~v179(constB143))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33050, 14758, 19676])).
% 43.10/28.71 tff(33052,plain,
% 43.10/28.71 (~v179(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33051, 33047])).
% 43.10/28.71 tff(33053,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33054,plain,
% 43.10/28.71 (((~nextState(constB142, constB143)) | v179(constB143) | v159(constB142) | (~v159(constB143))) <=> (v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33055,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB142, constB143)) | v179(constB143) | v159(constB142) | (~v159(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143))))),
% 43.10/28.71 inference(monotonicity,[status(thm)],[33054])).
% 43.10/28.71 tff(33056,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB142, constB143)) | v179(constB143) | v159(constB142) | (~v159(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143)))),
% 43.10/28.71 inference(transitivity,[status(thm)],[33055, 33053])).
% 43.10/28.71 tff(33057,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB142, constB143)) | v179(constB143) | v159(constB142) | (~v159(constB143)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33058,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB142) | (~nextState(constB142, constB143)) | v179(constB143) | (~v159(constB143))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33057, 33056])).
% 43.10/28.71 tff(33059,plain,
% 43.10/28.71 (v159(constB142) | v179(constB143) | (~v159(constB143))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33058, 14773, 19676])).
% 43.10/28.71 tff(33060,plain,
% 43.10/28.71 (v159(constB142) | (~v159(constB143))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33059, 33052])).
% 43.10/28.71 tff(33061,plain,
% 43.10/28.71 (~v159(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33060, 33040])).
% 43.10/28.71 tff(33062,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB143) | (~v201(constB143)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB143) | (~v201(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33063,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB143) | (~v201(constB143)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33064,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB143) | (~v201(constB143))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33063, 33062])).
% 43.10/28.71 tff(33065,plain,
% 43.10/28.71 (~v201(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33064, 14792, 33061])).
% 43.10/28.71 tff(33066,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB143) | (~v200(constB143)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB143) | (~v200(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33067,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB143) | (~v200(constB143)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33068,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB143) | (~v200(constB143))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33067, 33066])).
% 43.10/28.71 tff(33069,plain,
% 43.10/28.71 (~v200(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33068, 14806, 33065])).
% 43.10/28.71 tff(33070,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB143) | (~v198(constB143)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB143) | (~v198(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33071,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB143) | (~v198(constB143)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33072,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB143) | (~v198(constB143))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33071, 33070])).
% 43.10/28.71 tff(33073,plain,
% 43.10/28.71 (~v198(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33072, 14820, 33069])).
% 43.10/28.71 tff(33074,assumption,(v18(constB144)), introduced(assumption)).
% 43.10/28.71 tff(33075,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB144))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33076,plain,
% 43.10/28.71 ($false),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33075, 138, 33074])).
% 43.10/28.71 tff(33077,plain,(~v18(constB144)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.71 tff(33078,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33079,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33080,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33079, 33078])).
% 43.10/28.71 tff(33081,plain,
% 43.10/28.71 (v22(constB144)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33080, 154, 19828])).
% 43.10/28.71 tff(33082,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB144) | (~v22(constB144)) | (~v19(constB144)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB144) | (~v22(constB144)) | (~v19(constB144)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33083,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB144) | (~v22(constB144)) | (~v19(constB144)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33084,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB144) | (~v22(constB144)) | (~v19(constB144))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33083, 33082])).
% 43.10/28.71 tff(33085,plain,
% 43.10/28.71 (v18(constB144) | (~v19(constB144))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33084, 168, 33081])).
% 43.10/28.71 tff(33086,plain,
% 43.10/28.71 (~v19(constB144)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33085, 33077])).
% 43.10/28.71 tff(33087,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33088,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33089,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144)),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33088, 33087])).
% 43.10/28.71 tff(33090,plain,
% 43.10/28.71 (v13(constB144)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33089, 180, 33086])).
% 43.10/28.71 tff(33091,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33092,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33093,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33092, 33091])).
% 43.10/28.71 tff(33094,plain,
% 43.10/28.71 (v9(constB143) | (~v13(constB144))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33093, 197, 19805])).
% 43.10/28.71 tff(33095,plain,
% 43.10/28.71 (v9(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33094, 33090])).
% 43.10/28.71 tff(33096,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v197(constB143))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB143) | (~v9(constB143)) | v197(constB143))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33097,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v197(constB143))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33098,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB143) | (~v9(constB143)) | v197(constB143)),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33097, 33096])).
% 43.10/28.71 tff(33099,plain,
% 43.10/28.71 ((~v9(constB143)) | v197(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33098, 15020, 19673])).
% 43.10/28.71 tff(33100,plain,
% 43.10/28.71 (v197(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33099, 33095])).
% 43.10/28.71 tff(33101,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB143)) | v196(constB143))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB143)) | v196(constB143))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33102,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB143)) | v196(constB143))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33103,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB143)) | v196(constB143)),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33102, 33101])).
% 43.10/28.71 tff(33104,plain,
% 43.10/28.71 (v196(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33103, 15032, 33100])).
% 43.10/28.71 tff(33105,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB143)) | (~v196(constB143)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB143)) | (~v196(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33106,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB143)) | (~v196(constB143)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33107,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB143)) | (~v196(constB143))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33106, 33105])).
% 43.10/28.71 tff(33108,plain,
% 43.10/28.71 (~v194(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33107, 15046, 33104])).
% 43.10/28.71 tff(33109,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB143) | v198(constB143) | (~v191(constB143)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB143) | v198(constB143) | (~v191(constB143)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33110,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB143) | v198(constB143) | (~v191(constB143)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33111,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB143) | v198(constB143) | (~v191(constB143))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33110, 33109])).
% 43.10/28.71 tff(33112,plain,
% 43.10/28.71 (v198(constB143) | (~v191(constB143))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33111, 15060, 33108])).
% 43.10/28.71 tff(33113,plain,
% 43.10/28.71 (~v191(constB143)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33112, 33073])).
% 43.10/28.71 tff(33114,plain,
% 43.10/28.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB143, constB144)) | v191(constB143) | (~v193(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB143, constB144)) | v191(constB143) | (~v193(constB144)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33115,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB143, constB144)) | v191(constB143) | (~v193(constB144)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33116,plain,
% 43.10/28.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB143, constB144)) | v191(constB143) | (~v193(constB144))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33115, 33114])).
% 43.10/28.71 tff(33117,plain,
% 43.10/28.71 (v191(constB143) | (~v193(constB144))),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33116, 15075, 19805])).
% 43.10/28.71 tff(33118,plain,
% 43.10/28.71 (~v193(constB144)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33117, 33113])).
% 43.10/28.71 tff(33119,plain,
% 43.10/28.71 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB144) | (~v194(constB144)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB144) | (~v194(constB144)))),
% 43.10/28.71 inference(rewrite,[status(thm)],[])).
% 43.10/28.71 tff(33120,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB144) | (~v194(constB144)))),
% 43.10/28.71 inference(quant_inst,[status(thm)],[])).
% 43.10/28.71 tff(33121,plain,
% 43.10/28.71 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB144) | (~v194(constB144))),
% 43.10/28.71 inference(modus_ponens,[status(thm)],[33120, 33119])).
% 43.10/28.71 tff(33122,plain,
% 43.10/28.71 (~v194(constB144)),
% 43.10/28.71 inference(unit_resolution,[status(thm)],[33121, 15090, 33118])).
% 43.10/28.72 tff(33123,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB144)) | (~v197(constB144)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB144)) | (~v197(constB144)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33124,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB144)) | (~v197(constB144)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33125,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB144)) | (~v197(constB144))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33124, 33123])).
% 43.10/28.72 tff(33126,plain,
% 43.10/28.72 (~v197(constB144)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33125, 59, 19828])).
% 43.10/28.72 tff(33127,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB144) | (~v200(constB144)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB144) | (~v200(constB144)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33128,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB144) | (~v200(constB144)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33129,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB144) | (~v200(constB144))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33128, 33127])).
% 43.10/28.72 tff(33130,plain,
% 43.10/28.72 (~v200(constB144)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33129, 15108, 33126])).
% 43.10/28.72 tff(33131,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB144) | (~v198(constB144)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB144) | (~v198(constB144)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33132,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB144) | (~v198(constB144)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33133,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB144) | (~v198(constB144))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33132, 33131])).
% 43.10/28.72 tff(33134,plain,
% 43.10/28.72 (~v198(constB144)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33133, 14820, 33130])).
% 43.10/28.72 tff(33135,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB144) | v198(constB144) | (~v191(constB144)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB144) | v198(constB144) | (~v191(constB144)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33136,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB144) | v198(constB144) | (~v191(constB144)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33137,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB144) | v198(constB144) | (~v191(constB144))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33136, 33135])).
% 43.10/28.72 tff(33138,plain,
% 43.10/28.72 (v194(constB144) | (~v191(constB144))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33137, 15060, 33134])).
% 43.10/28.72 tff(33139,plain,
% 43.10/28.72 (~v191(constB144)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33138, 33122])).
% 43.10/28.72 tff(33140,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB144, constB145)) | v191(constB144) | (~v193(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB144, constB145)) | v191(constB144) | (~v193(constB145)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33141,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB144, constB145)) | v191(constB144) | (~v193(constB145)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33142,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB144, constB145)) | v191(constB144) | (~v193(constB145))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33141, 33140])).
% 43.10/28.72 tff(33143,plain,
% 43.10/28.72 (v191(constB144) | (~v193(constB145))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33142, 15075, 19873])).
% 43.10/28.72 tff(33144,plain,
% 43.10/28.72 (~v193(constB145)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33143, 33139])).
% 43.10/28.72 tff(33145,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 43.10/28.72 tff(33146,plain,
% 43.10/28.72 (v193(constB145) <=> v193(sK0_VarCurr)),
% 43.10/28.72 inference(monotonicity,[status(thm)],[33145])).
% 43.10/28.72 tff(33147,plain,
% 43.10/28.72 (v193(sK0_VarCurr) <=> v193(constB145)),
% 43.10/28.72 inference(symmetry,[status(thm)],[33146])).
% 43.10/28.72 tff(33148,plain,
% 43.10/28.72 (v193(constB145)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[86, 33147])).
% 43.10/28.72 tff(33149,assumption,(~v193(constB145)), introduced(assumption)).
% 43.10/28.72 tff(33150,plain,
% 43.10/28.72 ($false),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33149, 33148])).
% 43.10/28.72 tff(33151,plain,((~(constB145 = sK0_VarCurr)) | v193(constB145)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.72 tff(33152,plain,
% 43.10/28.72 (~(constB145 = sK0_VarCurr)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33151, 33144])).
% 43.10/28.72 tff(33153,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33154,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33155,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33154, 33153])).
% 43.10/28.72 tff(33156,plain,
% 43.10/28.72 (~v88(constB135, bitIndex0)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33155, 14501, 17774])).
% 43.10/28.72 tff(33157,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33158,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33159,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33158, 33157])).
% 43.10/28.72 tff(33160,plain,
% 43.10/28.72 (v88(constB135, bitIndex2)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33159, 28145, 17696])).
% 43.10/28.72 tff(33161,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33162,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33163,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33162, 33161])).
% 43.10/28.72 tff(33164,plain,
% 43.10/28.72 (v88(constB135, bitIndex1)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33163, 14543, 17661])).
% 43.10/28.72 tff(33165,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33166,plain,
% 43.10/28.72 (((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135)) <=> ((~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33167,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)))),
% 43.10/28.72 inference(monotonicity,[status(thm)],[33166])).
% 43.10/28.72 tff(33168,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0))),
% 43.10/28.72 inference(transitivity,[status(thm)],[33167, 33165])).
% 43.10/28.72 tff(33169,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33170,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex2)) | v144(constB135) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33169, 33168])).
% 43.10/28.72 tff(33171,plain,
% 43.10/28.72 (v144(constB135)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33170, 28163, 33164, 33160, 33156])).
% 43.10/28.72 tff(33172,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB135)) | v142(constB135))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB135)) | v142(constB135))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33173,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB135)) | v142(constB135))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33174,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB135)) | v142(constB135)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33173, 33172])).
% 43.10/28.72 tff(33175,plain,
% 43.10/28.72 (v142(constB135)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33174, 28177, 33171])).
% 43.10/28.72 tff(33176,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB135)) | v167(constB135))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB135)) | v167(constB135))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33177,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB135)) | v167(constB135))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33178,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB135)) | v167(constB135)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33177, 33176])).
% 43.10/28.72 tff(33179,plain,
% 43.10/28.72 (v167(constB135)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33178, 14582, 33175])).
% 43.10/28.72 tff(33180,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB135)) | (~v170(constB135)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB135)) | (~v170(constB135)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33181,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB135)) | (~v170(constB135)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33182,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB135)) | (~v170(constB135))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33181, 33180])).
% 43.10/28.72 tff(33183,plain,
% 43.10/28.72 (~v170(constB135)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33182, 14593, 33179])).
% 43.10/28.72 tff(33184,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33185,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33186,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33185, 33184])).
% 43.10/28.72 tff(33187,plain,
% 43.10/28.72 (v166(constB135)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33186, 14607, 33179])).
% 43.10/28.72 tff(33188,plain,
% 43.10/28.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | (~v166(constB135)) | v170(constB135))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | (~v166(constB135)) | v170(constB135))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33189,plain,
% 43.10/28.72 (((~v166(constB135)) | v170(constB135) | (~v163(constB135))) <=> ((~v163(constB135)) | (~v166(constB135)) | v170(constB135))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33190,plain,
% 43.10/28.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | (~v166(constB135)) | v170(constB135)))),
% 43.10/28.72 inference(monotonicity,[status(thm)],[33189])).
% 43.10/28.72 tff(33191,plain,
% 43.10/28.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | (~v166(constB135)) | v170(constB135))),
% 43.10/28.72 inference(transitivity,[status(thm)],[33190, 33188])).
% 43.10/28.72 tff(33192,plain,
% 43.10/28.72 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33193,plain,
% 43.10/28.72 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | (~v166(constB135)) | v170(constB135)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33192, 33191])).
% 43.10/28.72 tff(33194,plain,
% 43.10/28.72 (~v163(constB135)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33193, 14621, 33187, 33183])).
% 43.10/28.72 tff(33195,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33196,plain,
% 43.10/28.72 (((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136))) <=> (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33197,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136))))),
% 43.10/28.72 inference(monotonicity,[status(thm)],[33196])).
% 43.10/28.72 tff(33198,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 43.10/28.72 inference(transitivity,[status(thm)],[33197, 33195])).
% 43.10/28.72 tff(33199,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33200,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33199, 33198])).
% 43.10/28.72 tff(33201,plain,
% 43.10/28.72 (v163(constB135) | (~v186(constB136))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33200, 14641, 17735])).
% 43.10/28.72 tff(33202,plain,
% 43.10/28.72 (~v186(constB136)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33201, 33194])).
% 43.10/28.72 tff(33203,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33204,plain,
% 43.10/28.72 (((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136)) <=> ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33205,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136)))),
% 43.10/28.72 inference(monotonicity,[status(thm)],[33204])).
% 43.10/28.72 tff(33206,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 43.10/28.72 inference(transitivity,[status(thm)],[33205, 33203])).
% 43.10/28.72 tff(33207,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33208,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33207, 33206])).
% 43.10/28.72 tff(33209,plain,
% 43.10/28.72 (v181(constB136) | v104(constB136)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33208, 14663, 17735])).
% 43.10/28.72 tff(33210,plain,
% 43.10/28.72 (v181(constB136)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33209, 17779])).
% 43.10/28.72 tff(33211,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33212,plain,
% 43.10/28.72 (((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136))) <=> ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33213,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136))))),
% 43.10/28.72 inference(monotonicity,[status(thm)],[33212])).
% 43.10/28.72 tff(33214,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 43.10/28.72 inference(transitivity,[status(thm)],[33213, 33211])).
% 43.10/28.72 tff(33215,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33216,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33215, 33214])).
% 43.10/28.72 tff(33217,plain,
% 43.10/28.72 (v180(constB136) | (~v181(constB136))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33216, 14684, 17735, 17790])).
% 43.10/28.72 tff(33218,plain,
% 43.10/28.72 (v180(constB136)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33217, 33210])).
% 43.10/28.72 tff(33219,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33220,plain,
% 43.10/28.72 (((~nextState(constB135, constB136)) | (~v180(constB136)) | v179(constB136)) <=> ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33221,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | (~v180(constB136)) | v179(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136))))),
% 43.10/28.72 inference(monotonicity,[status(thm)],[33220])).
% 43.10/28.72 tff(33222,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | (~v180(constB136)) | v179(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 43.10/28.72 inference(transitivity,[status(thm)],[33221, 33219])).
% 43.10/28.72 tff(33223,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | (~v180(constB136)) | v179(constB136))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33224,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33223, 33222])).
% 43.10/28.72 tff(33225,plain,
% 43.10/28.72 (v179(constB136) | (~v180(constB136))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33224, 14702, 17735])).
% 43.10/28.72 tff(33226,plain,
% 43.10/28.72 (v179(constB136)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33225, 33218])).
% 43.10/28.72 tff(33227,plain,
% 43.10/28.72 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB136) | (~v159(constB136)) | (~v179(constB136)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB136) | (~v159(constB136)) | (~v179(constB136)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33228,plain,
% 43.10/28.72 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB136) | (~v159(constB136)) | (~v179(constB136)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33229,plain,
% 43.10/28.72 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB136) | (~v159(constB136)) | (~v179(constB136))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33228, 33227])).
% 43.10/28.72 tff(33230,plain,
% 43.10/28.72 (v186(constB136) | (~v159(constB136))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33229, 14720, 33226])).
% 43.10/28.72 tff(33231,plain,
% 43.10/28.72 (~v159(constB136)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33230, 33202])).
% 43.10/28.72 tff(33232,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33233,plain,
% 43.10/28.72 (((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137))) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33234,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137))))),
% 43.10/28.72 inference(monotonicity,[status(thm)],[33233])).
% 43.10/28.72 tff(33235,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 43.10/28.72 inference(transitivity,[status(thm)],[33234, 33232])).
% 43.10/28.72 tff(33236,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33237,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33236, 33235])).
% 43.10/28.72 tff(33238,plain,
% 43.10/28.72 (~v180(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33237, 14741, 18864, 18861])).
% 43.10/28.72 tff(33239,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33240,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33241,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33240, 33239])).
% 43.10/28.72 tff(33242,plain,
% 43.10/28.72 (v180(constB137) | (~v179(constB137))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33241, 14758, 18864])).
% 43.10/28.72 tff(33243,plain,
% 43.10/28.72 (~v179(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33242, 33238])).
% 43.10/28.72 tff(33244,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33245,plain,
% 43.10/28.72 (((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137))) <=> (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33246,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137))))),
% 43.10/28.72 inference(monotonicity,[status(thm)],[33245])).
% 43.10/28.72 tff(33247,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 43.10/28.72 inference(transitivity,[status(thm)],[33246, 33244])).
% 43.10/28.72 tff(33248,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33249,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33248, 33247])).
% 43.10/28.72 tff(33250,plain,
% 43.10/28.72 (v159(constB136) | v179(constB137) | (~v159(constB137))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33249, 14773, 18864])).
% 43.10/28.72 tff(33251,plain,
% 43.10/28.72 (v159(constB136) | (~v159(constB137))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33250, 33243])).
% 43.10/28.72 tff(33252,plain,
% 43.10/28.72 (~v159(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33251, 33231])).
% 43.10/28.72 tff(33253,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB137) | (~v201(constB137)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB137) | (~v201(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33254,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB137) | (~v201(constB137)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33255,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB137) | (~v201(constB137))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33254, 33253])).
% 43.10/28.72 tff(33256,plain,
% 43.10/28.72 (~v201(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33255, 14792, 33252])).
% 43.10/28.72 tff(33257,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | (~v200(constB137)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | (~v200(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33258,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | (~v200(constB137)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33259,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | (~v200(constB137))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33258, 33257])).
% 43.10/28.72 tff(33260,plain,
% 43.10/28.72 (~v200(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33259, 14806, 33256])).
% 43.10/28.72 tff(33261,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB137) | (~v198(constB137)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB137) | (~v198(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33262,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB137) | (~v198(constB137)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33263,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB137) | (~v198(constB137))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33262, 33261])).
% 43.10/28.72 tff(33264,plain,
% 43.10/28.72 (~v198(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33263, 14820, 33260])).
% 43.10/28.72 tff(33265,assumption,(v18(constB138)), introduced(assumption)).
% 43.10/28.72 tff(33266,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB138))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33267,plain,
% 43.10/28.72 ($false),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33266, 138, 33265])).
% 43.10/28.72 tff(33268,plain,(~v18(constB138)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.72 tff(33269,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33270,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33271,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33270, 33269])).
% 43.10/28.72 tff(33272,plain,
% 43.10/28.72 (v22(constB138)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33271, 154, 19071])).
% 43.10/28.72 tff(33273,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB138) | (~v22(constB138)) | (~v19(constB138)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB138) | (~v22(constB138)) | (~v19(constB138)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33274,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB138) | (~v22(constB138)) | (~v19(constB138)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33275,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB138) | (~v22(constB138)) | (~v19(constB138))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33274, 33273])).
% 43.10/28.72 tff(33276,plain,
% 43.10/28.72 (v18(constB138) | (~v19(constB138))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33275, 168, 33272])).
% 43.10/28.72 tff(33277,plain,
% 43.10/28.72 (~v19(constB138)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33276, 33268])).
% 43.10/28.72 tff(33278,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33279,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33280,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33279, 33278])).
% 43.10/28.72 tff(33281,plain,
% 43.10/28.72 (v13(constB138)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33280, 180, 33277])).
% 43.10/28.72 tff(33282,plain,
% 43.10/28.72 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33283,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33284,plain,
% 43.10/28.72 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33283, 33282])).
% 43.10/28.72 tff(33285,plain,
% 43.10/28.72 (v9(constB137) | (~v13(constB138))),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33284, 197, 18983])).
% 43.10/28.72 tff(33286,plain,
% 43.10/28.72 (v9(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33285, 33281])).
% 43.10/28.72 tff(33287,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v197(constB137))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB137) | (~v9(constB137)) | v197(constB137))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33288,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v197(constB137))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33289,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB137) | (~v9(constB137)) | v197(constB137)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33288, 33287])).
% 43.10/28.72 tff(33290,plain,
% 43.10/28.72 ((~v9(constB137)) | v197(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33289, 15020, 18861])).
% 43.10/28.72 tff(33291,plain,
% 43.10/28.72 (v197(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33290, 33286])).
% 43.10/28.72 tff(33292,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB137)) | v196(constB137))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB137)) | v196(constB137))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33293,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB137)) | v196(constB137))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33294,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB137)) | v196(constB137)),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33293, 33292])).
% 43.10/28.72 tff(33295,plain,
% 43.10/28.72 (v196(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33294, 15032, 33291])).
% 43.10/28.72 tff(33296,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB137)) | (~v196(constB137)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB137)) | (~v196(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.72 tff(33297,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB137)) | (~v196(constB137)))),
% 43.10/28.72 inference(quant_inst,[status(thm)],[])).
% 43.10/28.72 tff(33298,plain,
% 43.10/28.72 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB137)) | (~v196(constB137))),
% 43.10/28.72 inference(modus_ponens,[status(thm)],[33297, 33296])).
% 43.10/28.72 tff(33299,plain,
% 43.10/28.72 (~v194(constB137)),
% 43.10/28.72 inference(unit_resolution,[status(thm)],[33298, 15046, 33295])).
% 43.10/28.72 tff(33300,plain,
% 43.10/28.72 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB137) | v198(constB137) | (~v191(constB137)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB137) | v198(constB137) | (~v191(constB137)))),
% 43.10/28.72 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33301,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB137) | v198(constB137) | (~v191(constB137)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33302,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB137) | v198(constB137) | (~v191(constB137))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33301, 33300])).
% 43.10/28.73 tff(33303,plain,
% 43.10/28.73 (v198(constB137) | (~v191(constB137))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33302, 15060, 33299])).
% 43.10/28.73 tff(33304,plain,
% 43.10/28.73 (~v191(constB137)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33303, 33264])).
% 43.10/28.73 tff(33305,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33306,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33307,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33306, 33305])).
% 43.10/28.73 tff(33308,plain,
% 43.10/28.73 (v191(constB137) | (~v193(constB138))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33307, 15075, 18983])).
% 43.10/28.73 tff(33309,plain,
% 43.10/28.73 (~v193(constB138)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33308, 33304])).
% 43.10/28.73 tff(33310,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB138) | (~v194(constB138)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB138) | (~v194(constB138)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33311,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB138) | (~v194(constB138)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33312,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB138) | (~v194(constB138))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33311, 33310])).
% 43.10/28.73 tff(33313,plain,
% 43.10/28.73 (~v194(constB138)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33312, 15090, 33309])).
% 43.10/28.73 tff(33314,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB138)) | (~v197(constB138)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB138)) | (~v197(constB138)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33315,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB138)) | (~v197(constB138)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33316,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB138)) | (~v197(constB138))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33315, 33314])).
% 43.10/28.73 tff(33317,plain,
% 43.10/28.73 (~v197(constB138)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33316, 59, 19071])).
% 43.10/28.73 tff(33318,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB138) | (~v200(constB138)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB138) | (~v200(constB138)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33319,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB138) | (~v200(constB138)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33320,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB138) | (~v200(constB138))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33319, 33318])).
% 43.10/28.73 tff(33321,plain,
% 43.10/28.73 (~v200(constB138)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33320, 15108, 33317])).
% 43.10/28.73 tff(33322,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB138) | (~v198(constB138)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB138) | (~v198(constB138)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33323,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB138) | (~v198(constB138)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33324,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB138) | (~v198(constB138))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33323, 33322])).
% 43.10/28.73 tff(33325,plain,
% 43.10/28.73 (~v198(constB138)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33324, 14820, 33321])).
% 43.10/28.73 tff(33326,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB138) | v198(constB138) | (~v191(constB138)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB138) | v198(constB138) | (~v191(constB138)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33327,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB138) | v198(constB138) | (~v191(constB138)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33328,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB138) | v198(constB138) | (~v191(constB138))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33327, 33326])).
% 43.10/28.73 tff(33329,plain,
% 43.10/28.73 (v194(constB138) | (~v191(constB138))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33328, 15060, 33325])).
% 43.10/28.73 tff(33330,plain,
% 43.10/28.73 (~v191(constB138)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33329, 33313])).
% 43.10/28.73 tff(33331,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33332,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33333,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33332, 33331])).
% 43.10/28.73 tff(33334,plain,
% 43.10/28.73 (v191(constB138) | (~v193(constB139))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33333, 15075, 19208])).
% 43.10/28.73 tff(33335,plain,
% 43.10/28.73 (~v193(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33334, 33330])).
% 43.10/28.73 tff(33336,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB139) | (~v194(constB139)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB139) | (~v194(constB139)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33337,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB139) | (~v194(constB139)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33338,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB139) | (~v194(constB139))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33337, 33336])).
% 43.10/28.73 tff(33339,plain,
% 43.10/28.73 (~v194(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33338, 15090, 33335])).
% 43.10/28.73 tff(33340,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33341,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33342,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1)),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33341, 33340])).
% 43.10/28.73 tff(33343,plain,
% 43.10/28.73 (v88(constB139, bitIndex1)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33342, 14543, 19229])).
% 43.10/28.73 tff(33344,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33345,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33346,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2)),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33345, 33344])).
% 43.10/28.73 tff(33347,plain,
% 43.10/28.73 (~v88(constB139, bitIndex2)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33346, 14456, 19260])).
% 43.10/28.73 tff(33348,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33349,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33350,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0)),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33349, 33348])).
% 43.10/28.73 tff(33351,plain,
% 43.10/28.73 (~v88(constB139, bitIndex0)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33350, 14501, 19269])).
% 43.10/28.73 tff(33352,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33353,plain,
% 43.10/28.73 ((v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139)) <=> (v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33354,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139)))),
% 43.10/28.73 inference(monotonicity,[status(thm)],[33353])).
% 43.10/28.73 tff(33355,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139))),
% 43.10/28.73 inference(transitivity,[status(thm)],[33354, 33352])).
% 43.10/28.73 tff(33356,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex0) | v143(constB139))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33357,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139)),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33356, 33355])).
% 43.10/28.73 tff(33358,plain,
% 43.10/28.73 (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v143(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33357, 14557, 33351])).
% 43.10/28.73 tff(33359,plain,
% 43.10/28.73 (v143(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33358, 33347, 33343])).
% 43.10/28.73 tff(33360,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB139)) | v142(constB139))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB139)) | v142(constB139))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33361,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB139)) | v142(constB139))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33362,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB139)) | v142(constB139)),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33361, 33360])).
% 43.10/28.73 tff(33363,plain,
% 43.10/28.73 (v142(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33362, 14571, 33359])).
% 43.10/28.73 tff(33364,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB139)) | v167(constB139))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB139)) | v167(constB139))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33365,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB139)) | v167(constB139))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33366,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB139)) | v167(constB139)),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33365, 33364])).
% 43.10/28.73 tff(33367,plain,
% 43.10/28.73 (v167(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33366, 14582, 33363])).
% 43.10/28.73 tff(33368,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB139)) | (~v170(constB139)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB139)) | (~v170(constB139)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33369,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB139)) | (~v170(constB139)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33370,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB139)) | (~v170(constB139))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33369, 33368])).
% 43.10/28.73 tff(33371,plain,
% 43.10/28.73 (~v170(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33370, 14593, 33367])).
% 43.10/28.73 tff(33372,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33373,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33374,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33373, 33372])).
% 43.10/28.73 tff(33375,plain,
% 43.10/28.73 (v166(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33374, 14607, 33367])).
% 43.10/28.73 tff(33376,plain,
% 43.10/28.73 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | (~v166(constB139)) | v170(constB139))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33377,plain,
% 43.10/28.73 (((~v166(constB139)) | v170(constB139) | (~v163(constB139))) <=> ((~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33378,plain,
% 43.10/28.73 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | (~v166(constB139)) | v170(constB139)))),
% 43.10/28.73 inference(monotonicity,[status(thm)],[33377])).
% 43.10/28.73 tff(33379,plain,
% 43.10/28.73 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 43.10/28.73 inference(transitivity,[status(thm)],[33378, 33376])).
% 43.10/28.73 tff(33380,plain,
% 43.10/28.73 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33381,plain,
% 43.10/28.73 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139)),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33380, 33379])).
% 43.10/28.73 tff(33382,plain,
% 43.10/28.73 (~v163(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33381, 14621, 33375, 33371])).
% 43.10/28.73 tff(33383,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB139) | (~v201(constB139)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB139) | (~v201(constB139)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33384,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB139) | (~v201(constB139)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33385,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB139) | (~v201(constB139))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33384, 33383])).
% 43.10/28.73 tff(33386,plain,
% 43.10/28.73 (~v201(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33385, 28717, 33382])).
% 43.10/28.73 tff(33387,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB139) | (~v200(constB139)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB139) | (~v200(constB139)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33388,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB139) | (~v200(constB139)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33389,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB139) | (~v200(constB139))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33388, 33387])).
% 43.10/28.73 tff(33390,plain,
% 43.10/28.73 (~v200(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33389, 14806, 33386])).
% 43.10/28.73 tff(33391,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB139) | (~v198(constB139)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB139) | (~v198(constB139)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33392,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB139) | (~v198(constB139)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33393,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB139) | (~v198(constB139))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33392, 33391])).
% 43.10/28.73 tff(33394,plain,
% 43.10/28.73 (~v198(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33393, 14820, 33390])).
% 43.10/28.73 tff(33395,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB139) | v198(constB139) | (~v191(constB139)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB139) | v198(constB139) | (~v191(constB139)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33396,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB139) | v198(constB139) | (~v191(constB139)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33397,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB139) | v198(constB139) | (~v191(constB139))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33396, 33395])).
% 43.10/28.73 tff(33398,plain,
% 43.10/28.73 (~v191(constB139)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33397, 15060, 33394, 33339])).
% 43.10/28.73 tff(33399,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB139, constB140)) | v191(constB139) | (~v193(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB139, constB140)) | v191(constB139) | (~v193(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33400,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB139, constB140)) | v191(constB139) | (~v193(constB140)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33401,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB139, constB140)) | v191(constB139) | (~v193(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33400, 33399])).
% 43.10/28.73 tff(33402,plain,
% 43.10/28.73 (v191(constB139) | (~v193(constB140))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33401, 15075, 19332])).
% 43.10/28.73 tff(33403,plain,
% 43.10/28.73 (~v193(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33402, 33398])).
% 43.10/28.73 tff(33404,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB140) | (~v194(constB140)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB140) | (~v194(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33405,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB140) | (~v194(constB140)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33406,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB140) | (~v194(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33405, 33404])).
% 43.10/28.73 tff(33407,plain,
% 43.10/28.73 (~v194(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33406, 15090, 33403])).
% 43.10/28.73 tff(33408,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB140)) | (~v197(constB140)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB140)) | (~v197(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33409,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB140)) | (~v197(constB140)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33410,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB140)) | (~v197(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33409, 33408])).
% 43.10/28.73 tff(33411,plain,
% 43.10/28.73 (~v197(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33410, 59, 19355])).
% 43.10/28.73 tff(33412,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB140) | (~v200(constB140)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB140) | (~v200(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33413,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB140) | (~v200(constB140)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33414,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB140) | (~v200(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33413, 33412])).
% 43.10/28.73 tff(33415,plain,
% 43.10/28.73 (~v200(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33414, 15108, 33411])).
% 43.10/28.73 tff(33416,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB140) | (~v198(constB140)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB140) | (~v198(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33417,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB140) | (~v198(constB140)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33418,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB140) | (~v198(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33417, 33416])).
% 43.10/28.73 tff(33419,plain,
% 43.10/28.73 (~v198(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33418, 14820, 33415])).
% 43.10/28.73 tff(33420,plain,
% 43.10/28.73 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB140) | v198(constB140) | (~v191(constB140)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB140) | v198(constB140) | (~v191(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33421,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB140) | v198(constB140) | (~v191(constB140)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33422,plain,
% 43.10/28.73 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB140) | v198(constB140) | (~v191(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33421, 33420])).
% 43.10/28.73 tff(33423,plain,
% 43.10/28.73 (v194(constB140) | (~v191(constB140))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33422, 15060, 33419])).
% 43.10/28.73 tff(33424,plain,
% 43.10/28.73 (~v191(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33423, 33407])).
% 43.10/28.73 tff(33425,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB140, constB141)) | v191(constB140) | (~v193(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB140, constB141)) | v191(constB140) | (~v193(constB141)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33426,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB140, constB141)) | v191(constB140) | (~v193(constB141)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33427,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB140, constB141)) | v191(constB140) | (~v193(constB141))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33426, 33425])).
% 43.10/28.73 tff(33428,plain,
% 43.10/28.73 (v191(constB140) | (~v193(constB141))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33427, 15075, 19400])).
% 43.10/28.73 tff(33429,plain,
% 43.10/28.73 (~v193(constB141)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33428, 33424])).
% 43.10/28.73 tff(33430,assumption,(constB141 = sK0_VarCurr), introduced(assumption)).
% 43.10/28.73 tff(33431,plain,
% 43.10/28.73 (v193(constB141) <=> v193(sK0_VarCurr)),
% 43.10/28.73 inference(monotonicity,[status(thm)],[33430])).
% 43.10/28.73 tff(33432,plain,
% 43.10/28.73 (v193(sK0_VarCurr) <=> v193(constB141)),
% 43.10/28.73 inference(symmetry,[status(thm)],[33431])).
% 43.10/28.73 tff(33433,plain,
% 43.10/28.73 (v193(constB141)),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[86, 33432])).
% 43.10/28.73 tff(33434,assumption,(~v193(constB141)), introduced(assumption)).
% 43.10/28.73 tff(33435,plain,
% 43.10/28.73 ($false),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33434, 33433])).
% 43.10/28.73 tff(33436,plain,((~(constB141 = sK0_VarCurr)) | v193(constB141)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.73 tff(33437,plain,
% 43.10/28.73 (~(constB141 = sK0_VarCurr)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33436, 33429])).
% 43.10/28.73 tff(33438,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33439,plain,
% 43.10/28.73 (((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140))) <=> (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33440,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140))))),
% 43.10/28.73 inference(monotonicity,[status(thm)],[33439])).
% 43.10/28.73 tff(33441,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 43.10/28.73 inference(transitivity,[status(thm)],[33440, 33438])).
% 43.10/28.73 tff(33442,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33443,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33442, 33441])).
% 43.10/28.73 tff(33444,plain,
% 43.10/28.73 (v163(constB139) | (~v186(constB140))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33443, 14641, 19332])).
% 43.10/28.73 tff(33445,plain,
% 43.10/28.73 (~v186(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33444, 33382])).
% 43.10/28.73 tff(33446,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33447,plain,
% 43.10/28.73 (((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140)) <=> ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33448,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140)))),
% 43.10/28.73 inference(monotonicity,[status(thm)],[33447])).
% 43.10/28.73 tff(33449,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 43.10/28.73 inference(transitivity,[status(thm)],[33448, 33446])).
% 43.10/28.73 tff(33450,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33451,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140)),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33450, 33449])).
% 43.10/28.73 tff(33452,plain,
% 43.10/28.73 (v181(constB140) | v104(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33451, 14663, 19332])).
% 43.10/28.73 tff(33453,plain,
% 43.10/28.73 (v181(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33452, 19344])).
% 43.10/28.73 tff(33454,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33455,plain,
% 43.10/28.73 (((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140))) <=> ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33456,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140))))),
% 43.10/28.73 inference(monotonicity,[status(thm)],[33455])).
% 43.10/28.73 tff(33457,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 43.10/28.73 inference(transitivity,[status(thm)],[33456, 33454])).
% 43.10/28.73 tff(33458,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33459,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33458, 33457])).
% 43.10/28.73 tff(33460,plain,
% 43.10/28.73 (v180(constB140) | (~v181(constB140))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33459, 14684, 19332, 19355])).
% 43.10/28.73 tff(33461,plain,
% 43.10/28.73 (v180(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33460, 33453])).
% 43.10/28.73 tff(33462,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33463,plain,
% 43.10/28.73 (((~nextState(constB139, constB140)) | (~v180(constB140)) | v179(constB140)) <=> ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33464,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | (~v180(constB140)) | v179(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140))))),
% 43.10/28.73 inference(monotonicity,[status(thm)],[33463])).
% 43.10/28.73 tff(33465,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | (~v180(constB140)) | v179(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 43.10/28.73 inference(transitivity,[status(thm)],[33464, 33462])).
% 43.10/28.73 tff(33466,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | (~v180(constB140)) | v179(constB140))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33467,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33466, 33465])).
% 43.10/28.73 tff(33468,plain,
% 43.10/28.73 (v179(constB140) | (~v180(constB140))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33467, 14702, 19332])).
% 43.10/28.73 tff(33469,plain,
% 43.10/28.73 (v179(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33468, 33461])).
% 43.10/28.73 tff(33470,plain,
% 43.10/28.73 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB140) | (~v159(constB140)) | (~v179(constB140)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB140) | (~v159(constB140)) | (~v179(constB140)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33471,plain,
% 43.10/28.73 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB140) | (~v159(constB140)) | (~v179(constB140)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33472,plain,
% 43.10/28.73 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB140) | (~v159(constB140)) | (~v179(constB140))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33471, 33470])).
% 43.10/28.73 tff(33473,plain,
% 43.10/28.73 (v186(constB140) | (~v159(constB140))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33472, 14720, 33469])).
% 43.10/28.73 tff(33474,plain,
% 43.10/28.73 (~v159(constB140)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33473, 33445])).
% 43.10/28.73 tff(33475,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33476,plain,
% 43.10/28.73 (((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141))) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33477,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141))))),
% 43.10/28.73 inference(monotonicity,[status(thm)],[33476])).
% 43.10/28.73 tff(33478,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 43.10/28.73 inference(transitivity,[status(thm)],[33477, 33475])).
% 43.10/28.73 tff(33479,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33480,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33479, 33478])).
% 43.10/28.73 tff(33481,plain,
% 43.10/28.73 (~v180(constB141)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33480, 14741, 19400, 19397])).
% 43.10/28.73 tff(33482,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33483,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 43.10/28.73 inference(quant_inst,[status(thm)],[])).
% 43.10/28.73 tff(33484,plain,
% 43.10/28.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141))),
% 43.10/28.73 inference(modus_ponens,[status(thm)],[33483, 33482])).
% 43.10/28.73 tff(33485,plain,
% 43.10/28.73 (v180(constB141) | (~v179(constB141))),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33484, 14758, 19400])).
% 43.10/28.73 tff(33486,plain,
% 43.10/28.73 (~v179(constB141)),
% 43.10/28.73 inference(unit_resolution,[status(thm)],[33485, 33481])).
% 43.10/28.73 tff(33487,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33488,plain,
% 43.10/28.73 (((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141))) <=> (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 43.10/28.73 inference(rewrite,[status(thm)],[])).
% 43.10/28.73 tff(33489,plain,
% 43.10/28.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141))))),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33488])).
% 43.10/28.74 tff(33490,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 43.10/28.74 inference(transitivity,[status(thm)],[33489, 33487])).
% 43.10/28.74 tff(33491,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33492,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33491, 33490])).
% 43.10/28.74 tff(33493,plain,
% 43.10/28.74 (v159(constB140) | v179(constB141) | (~v159(constB141))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33492, 14773, 19400])).
% 43.10/28.74 tff(33494,plain,
% 43.10/28.74 (v159(constB140) | (~v159(constB141))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33493, 33486])).
% 43.10/28.74 tff(33495,plain,
% 43.10/28.74 (~v159(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33494, 33474])).
% 43.10/28.74 tff(33496,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB141) | (~v201(constB141)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB141) | (~v201(constB141)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33497,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB141) | (~v201(constB141)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33498,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB141) | (~v201(constB141))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33497, 33496])).
% 43.10/28.74 tff(33499,plain,
% 43.10/28.74 (~v201(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33498, 14792, 33495])).
% 43.10/28.74 tff(33500,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | (~v200(constB141)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | (~v200(constB141)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33501,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | (~v200(constB141)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33502,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | (~v200(constB141))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33501, 33500])).
% 43.10/28.74 tff(33503,plain,
% 43.10/28.74 (~v200(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33502, 14806, 33499])).
% 43.10/28.74 tff(33504,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB141) | (~v198(constB141)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB141) | (~v198(constB141)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33505,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB141) | (~v198(constB141)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33506,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB141) | (~v198(constB141))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33505, 33504])).
% 43.10/28.74 tff(33507,plain,
% 43.10/28.74 (~v198(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33506, 14820, 33503])).
% 43.10/28.74 tff(33508,assumption,(v18(constB142)), introduced(assumption)).
% 43.10/28.74 tff(33509,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB142))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33510,plain,
% 43.10/28.74 ($false),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33509, 138, 33508])).
% 43.10/28.74 tff(33511,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.74 tff(33512,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33513,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33514,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33513, 33512])).
% 43.10/28.74 tff(33515,plain,
% 43.10/28.74 (v22(constB142)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33514, 154, 19627])).
% 43.10/28.74 tff(33516,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB142) | (~v22(constB142)) | (~v19(constB142)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB142) | (~v22(constB142)) | (~v19(constB142)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33517,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB142) | (~v22(constB142)) | (~v19(constB142)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33518,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB142) | (~v22(constB142)) | (~v19(constB142))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33517, 33516])).
% 43.10/28.74 tff(33519,plain,
% 43.10/28.74 (v18(constB142) | (~v19(constB142))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33518, 168, 33515])).
% 43.10/28.74 tff(33520,plain,
% 43.10/28.74 (~v19(constB142)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33519, 33511])).
% 43.10/28.74 tff(33521,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33522,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33523,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33522, 33521])).
% 43.10/28.74 tff(33524,plain,
% 43.10/28.74 (v13(constB142)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33523, 180, 33520])).
% 43.10/28.74 tff(33525,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33526,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33527,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33526, 33525])).
% 43.10/28.74 tff(33528,plain,
% 43.10/28.74 (v9(constB141) | (~v13(constB142))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33527, 197, 19604])).
% 43.10/28.74 tff(33529,plain,
% 43.10/28.74 (v9(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33528, 33524])).
% 43.10/28.74 tff(33530,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v197(constB141))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB141) | (~v9(constB141)) | v197(constB141))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33531,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v197(constB141))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33532,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB141) | (~v9(constB141)) | v197(constB141)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33531, 33530])).
% 43.10/28.74 tff(33533,plain,
% 43.10/28.74 ((~v9(constB141)) | v197(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33532, 15020, 19397])).
% 43.10/28.74 tff(33534,plain,
% 43.10/28.74 (v197(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33533, 33529])).
% 43.10/28.74 tff(33535,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB141) | (~v197(constB141)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB141) | (~v197(constB141)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33536,plain,
% 43.10/28.74 (((~v197(constB141)) | v196(constB141)) <=> (v196(constB141) | (~v197(constB141)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33537,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB141)) | v196(constB141))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB141) | (~v197(constB141))))),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33536])).
% 43.10/28.74 tff(33538,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB141)) | v196(constB141))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB141) | (~v197(constB141)))),
% 43.10/28.74 inference(transitivity,[status(thm)],[33537, 33535])).
% 43.10/28.74 tff(33539,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB141)) | v196(constB141))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33540,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB141) | (~v197(constB141))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33539, 33538])).
% 43.10/28.74 tff(33541,plain,
% 43.10/28.74 (v196(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33540, 15032, 33534])).
% 43.10/28.74 tff(33542,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB141)) | (~v196(constB141)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB141)) | (~v196(constB141)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33543,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB141)) | (~v196(constB141)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33544,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB141)) | (~v196(constB141))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33543, 33542])).
% 43.10/28.74 tff(33545,plain,
% 43.10/28.74 (~v194(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33544, 15046, 33541])).
% 43.10/28.74 tff(33546,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB141) | v198(constB141) | (~v191(constB141)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB141) | v198(constB141) | (~v191(constB141)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33547,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB141) | v198(constB141) | (~v191(constB141)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33548,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB141) | v198(constB141) | (~v191(constB141))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33547, 33546])).
% 43.10/28.74 tff(33549,plain,
% 43.10/28.74 (v198(constB141) | (~v191(constB141))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33548, 15060, 33545])).
% 43.10/28.74 tff(33550,plain,
% 43.10/28.74 (~v191(constB141)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33549, 33507])).
% 43.10/28.74 tff(33551,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33552,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33553,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33552, 33551])).
% 43.10/28.74 tff(33554,plain,
% 43.10/28.74 (v191(constB141) | (~v193(constB142))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33553, 15075, 19604])).
% 43.10/28.74 tff(33555,plain,
% 43.10/28.74 (~v193(constB142)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33554, 33550])).
% 43.10/28.74 tff(33556,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB142) | (~v194(constB142)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB142) | (~v194(constB142)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33557,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB142) | (~v194(constB142)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33558,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB142) | (~v194(constB142))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33557, 33556])).
% 43.10/28.74 tff(33559,plain,
% 43.10/28.74 (~v194(constB142)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33558, 15090, 33555])).
% 43.10/28.74 tff(33560,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB142)) | (~v197(constB142)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB142)) | (~v197(constB142)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33561,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB142)) | (~v197(constB142)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33562,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB142)) | (~v197(constB142))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33561, 33560])).
% 43.10/28.74 tff(33563,plain,
% 43.10/28.74 (~v197(constB142)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33562, 59, 19627])).
% 43.10/28.74 tff(33564,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB142) | (~v200(constB142)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB142) | (~v200(constB142)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33565,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB142) | (~v200(constB142)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33566,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB142) | (~v200(constB142))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33565, 33564])).
% 43.10/28.74 tff(33567,plain,
% 43.10/28.74 (~v200(constB142)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33566, 15108, 33563])).
% 43.10/28.74 tff(33568,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB142) | (~v198(constB142)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB142) | (~v198(constB142)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33569,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB142) | (~v198(constB142)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33570,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB142) | (~v198(constB142))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33569, 33568])).
% 43.10/28.74 tff(33571,plain,
% 43.10/28.74 (~v198(constB142)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33570, 14820, 33567])).
% 43.10/28.74 tff(33572,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB142) | v198(constB142) | (~v191(constB142)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB142) | v198(constB142) | (~v191(constB142)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33573,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB142) | v198(constB142) | (~v191(constB142)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33574,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB142) | v198(constB142) | (~v191(constB142))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33573, 33572])).
% 43.10/28.74 tff(33575,plain,
% 43.10/28.74 (v194(constB142) | (~v191(constB142))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33574, 15060, 33571])).
% 43.10/28.74 tff(33576,plain,
% 43.10/28.74 (~v191(constB142)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33575, 33559])).
% 43.10/28.74 tff(33577,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33578,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33579,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33578, 33577])).
% 43.10/28.74 tff(33580,plain,
% 43.10/28.74 (v191(constB142) | (~v193(constB143))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33579, 15075, 19676])).
% 43.10/28.74 tff(33581,plain,
% 43.10/28.74 (~v193(constB143)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33580, 33576])).
% 43.10/28.74 tff(33582,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 43.10/28.74 tff(33583,plain,
% 43.10/28.74 (v193(constB143) <=> v193(sK0_VarCurr)),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33582])).
% 43.10/28.74 tff(33584,plain,
% 43.10/28.74 (v193(sK0_VarCurr) <=> v193(constB143)),
% 43.10/28.74 inference(symmetry,[status(thm)],[33583])).
% 43.10/28.74 tff(33585,plain,
% 43.10/28.74 (v193(constB143)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[86, 33584])).
% 43.10/28.74 tff(33586,assumption,(~v193(constB143)), introduced(assumption)).
% 43.10/28.74 tff(33587,plain,
% 43.10/28.74 ($false),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33586, 33585])).
% 43.10/28.74 tff(33588,plain,((~(constB143 = sK0_VarCurr)) | v193(constB143)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.74 tff(33589,plain,
% 43.10/28.74 (~(constB143 = sK0_VarCurr)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33588, 33581])).
% 43.10/28.74 tff(33590,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 43.10/28.74 tff(33591,plain,
% 43.10/28.74 (v193(constB139) <=> v193(sK0_VarCurr)),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33590])).
% 43.10/28.74 tff(33592,plain,
% 43.10/28.74 (v193(sK0_VarCurr) <=> v193(constB139)),
% 43.10/28.74 inference(symmetry,[status(thm)],[33591])).
% 43.10/28.74 tff(33593,plain,
% 43.10/28.74 (v193(constB139)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[86, 33592])).
% 43.10/28.74 tff(33594,assumption,(~v193(constB139)), introduced(assumption)).
% 43.10/28.74 tff(33595,plain,
% 43.10/28.74 ($false),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33594, 33593])).
% 43.10/28.74 tff(33596,plain,((~(constB139 = sK0_VarCurr)) | v193(constB139)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.74 tff(33597,plain,
% 43.10/28.74 (~(constB139 = sK0_VarCurr)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33596, 33335])).
% 43.10/28.74 tff(33598,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB131, bitIndex2)) | v90(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB131, bitIndex2)) | v90(constB131, bitIndex2))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33599,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB131, bitIndex2)) | v90(constB131, bitIndex2))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33600,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB131, bitIndex2)) | v90(constB131, bitIndex2)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33599, 33598])).
% 43.10/28.74 tff(33601,plain,
% 43.10/28.74 (~v88(constB131, bitIndex2)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33600, 14456, 17315])).
% 43.10/28.74 tff(33602,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB131, bitIndex1)) | v88(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB131, bitIndex1)) | v88(constB131, bitIndex1))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33603,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB131, bitIndex1)) | v88(constB131, bitIndex1))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33604,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB131, bitIndex1)) | v88(constB131, bitIndex1)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33603, 33602])).
% 43.10/28.74 tff(33605,plain,
% 43.10/28.74 (v88(constB131, bitIndex1)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33604, 14543, 17285])).
% 43.10/28.74 tff(33606,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33607,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33608,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33607, 33606])).
% 43.10/28.74 tff(33609,plain,
% 43.10/28.74 (v88(constB131, bitIndex0)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33608, 14846, 17324])).
% 43.10/28.74 tff(33610,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | (~v88(constB131, bitIndex1)) | v141(constB131))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | (~v88(constB131, bitIndex1)) | v141(constB131))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33611,plain,
% 43.10/28.74 ((v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)) | v141(constB131)) <=> (v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | (~v88(constB131, bitIndex1)) | v141(constB131))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33612,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)) | v141(constB131))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | (~v88(constB131, bitIndex1)) | v141(constB131)))),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33611])).
% 43.10/28.74 tff(33613,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)) | v141(constB131))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | (~v88(constB131, bitIndex1)) | v141(constB131))),
% 43.10/28.74 inference(transitivity,[status(thm)],[33612, 33610])).
% 43.10/28.74 tff(33614,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)) | v141(constB131))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33615,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | (~v88(constB131, bitIndex1)) | v141(constB131)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33614, 33613])).
% 43.10/28.74 tff(33616,plain,
% 43.10/28.74 (v141(constB131)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33615, 15902, 33609, 33605, 33601])).
% 43.10/28.74 tff(33617,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB131)) | v168(constB131))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB131)) | v168(constB131))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33618,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB131)) | v168(constB131))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33619,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB131)) | v168(constB131)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33618, 33617])).
% 43.10/28.74 tff(33620,plain,
% 43.10/28.74 (v168(constB131)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33619, 15916, 33616])).
% 43.10/28.74 tff(33621,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB131) | (~v168(constB131)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB131) | (~v168(constB131)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33622,plain,
% 43.10/28.74 (((~v168(constB131)) | v167(constB131)) <=> (v167(constB131) | (~v168(constB131)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33623,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB131)) | v167(constB131))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB131) | (~v168(constB131))))),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33622])).
% 43.10/28.74 tff(33624,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB131)) | v167(constB131))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB131) | (~v168(constB131)))),
% 43.10/28.74 inference(transitivity,[status(thm)],[33623, 33621])).
% 43.10/28.74 tff(33625,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB131)) | v167(constB131))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33626,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB131) | (~v168(constB131))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33625, 33624])).
% 43.10/28.74 tff(33627,plain,
% 43.10/28.74 (v167(constB131)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33626, 14899, 33620])).
% 43.10/28.74 tff(33628,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB131)) | (~v170(constB131)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB131)) | (~v170(constB131)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33629,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB131)) | (~v170(constB131)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33630,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB131)) | (~v170(constB131))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33629, 33628])).
% 43.10/28.74 tff(33631,plain,
% 43.10/28.74 (~v170(constB131)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33630, 14593, 33627])).
% 43.10/28.74 tff(33632,plain,
% 43.10/28.74 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB131) | (~v167(constB131)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB131) | (~v167(constB131)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33633,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB131) | (~v167(constB131)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33634,plain,
% 43.10/28.74 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB131) | (~v167(constB131))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33633, 33632])).
% 43.10/28.74 tff(33635,plain,
% 43.10/28.74 (v166(constB131)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33634, 14607, 33627])).
% 43.10/28.74 tff(33636,plain,
% 43.10/28.74 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB131)) | (~v166(constB131)) | v170(constB131))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB131)) | (~v166(constB131)) | v170(constB131))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33637,plain,
% 43.10/28.74 (((~v166(constB131)) | v170(constB131) | (~v163(constB131))) <=> ((~v163(constB131)) | (~v166(constB131)) | v170(constB131))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33638,plain,
% 43.10/28.74 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB131)) | v170(constB131) | (~v163(constB131)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB131)) | (~v166(constB131)) | v170(constB131)))),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33637])).
% 43.10/28.74 tff(33639,plain,
% 43.10/28.74 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB131)) | v170(constB131) | (~v163(constB131)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB131)) | (~v166(constB131)) | v170(constB131))),
% 43.10/28.74 inference(transitivity,[status(thm)],[33638, 33636])).
% 43.10/28.74 tff(33640,plain,
% 43.10/28.74 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB131)) | v170(constB131) | (~v163(constB131)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33641,plain,
% 43.10/28.74 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB131)) | (~v166(constB131)) | v170(constB131)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33640, 33639])).
% 43.10/28.74 tff(33642,plain,
% 43.10/28.74 (~v163(constB131)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33641, 14621, 33635, 33631])).
% 43.10/28.74 tff(33643,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB131) | (~nextState(constB131, constB132)) | (~v186(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB131) | (~nextState(constB131, constB132)) | (~v186(constB132)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33644,plain,
% 43.10/28.74 (((~nextState(constB131, constB132)) | v163(constB131) | (~v186(constB132))) <=> (v163(constB131) | (~nextState(constB131, constB132)) | (~v186(constB132)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33645,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB131, constB132)) | v163(constB131) | (~v186(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB131) | (~nextState(constB131, constB132)) | (~v186(constB132))))),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33644])).
% 43.10/28.74 tff(33646,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB131, constB132)) | v163(constB131) | (~v186(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB131) | (~nextState(constB131, constB132)) | (~v186(constB132)))),
% 43.10/28.74 inference(transitivity,[status(thm)],[33645, 33643])).
% 43.10/28.74 tff(33647,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB131, constB132)) | v163(constB131) | (~v186(constB132)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33648,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB131) | (~nextState(constB131, constB132)) | (~v186(constB132))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33647, 33646])).
% 43.10/28.74 tff(33649,plain,
% 43.10/28.74 (v163(constB131) | (~v186(constB132))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33648, 14641, 17348])).
% 43.10/28.74 tff(33650,plain,
% 43.10/28.74 (~v186(constB132)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33649, 33642])).
% 43.10/28.74 tff(33651,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB131, constB132)) | v181(constB132) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB131, constB132)) | v181(constB132) | v104(constB132))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33652,plain,
% 43.10/28.74 (((~nextState(constB131, constB132)) | v104(constB132) | v181(constB132)) <=> ((~nextState(constB131, constB132)) | v181(constB132) | v104(constB132))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33653,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v181(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB131, constB132)) | v181(constB132) | v104(constB132)))),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33652])).
% 43.10/28.74 tff(33654,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v181(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB131, constB132)) | v181(constB132) | v104(constB132))),
% 43.10/28.74 inference(transitivity,[status(thm)],[33653, 33651])).
% 43.10/28.74 tff(33655,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v181(constB132))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33656,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB131, constB132)) | v181(constB132) | v104(constB132)),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33655, 33654])).
% 43.10/28.74 tff(33657,plain,
% 43.10/28.74 (v181(constB132) | v104(constB132)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33656, 14663, 17348])).
% 43.10/28.74 tff(33658,plain,
% 43.10/28.74 (v181(constB132)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33657, 17399])).
% 43.10/28.74 tff(33659,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB131, constB132)) | v180(constB132) | (~v1(constB132)) | (~v181(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB131, constB132)) | v180(constB132) | (~v1(constB132)) | (~v181(constB132)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33660,plain,
% 43.10/28.74 (((~nextState(constB131, constB132)) | (~v1(constB132)) | v180(constB132) | (~v181(constB132))) <=> ((~nextState(constB131, constB132)) | v180(constB132) | (~v1(constB132)) | (~v181(constB132)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33661,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v180(constB132) | (~v181(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB131, constB132)) | v180(constB132) | (~v1(constB132)) | (~v181(constB132))))),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33660])).
% 43.10/28.74 tff(33662,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v180(constB132) | (~v181(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB131, constB132)) | v180(constB132) | (~v1(constB132)) | (~v181(constB132)))),
% 43.10/28.74 inference(transitivity,[status(thm)],[33661, 33659])).
% 43.10/28.74 tff(33663,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v180(constB132) | (~v181(constB132)))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33664,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB131, constB132)) | v180(constB132) | (~v1(constB132)) | (~v181(constB132))),
% 43.10/28.74 inference(modus_ponens,[status(thm)],[33663, 33662])).
% 43.10/28.74 tff(33665,plain,
% 43.10/28.74 (v180(constB132) | (~v181(constB132))),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33664, 14684, 17348, 17410])).
% 43.10/28.74 tff(33666,plain,
% 43.10/28.74 (v180(constB132)),
% 43.10/28.74 inference(unit_resolution,[status(thm)],[33665, 33658])).
% 43.10/28.74 tff(33667,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB131, constB132)) | v179(constB132) | (~v180(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB131, constB132)) | v179(constB132) | (~v180(constB132)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33668,plain,
% 43.10/28.74 (((~nextState(constB131, constB132)) | (~v180(constB132)) | v179(constB132)) <=> ((~nextState(constB131, constB132)) | v179(constB132) | (~v180(constB132)))),
% 43.10/28.74 inference(rewrite,[status(thm)],[])).
% 43.10/28.74 tff(33669,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB131, constB132)) | (~v180(constB132)) | v179(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB131, constB132)) | v179(constB132) | (~v180(constB132))))),
% 43.10/28.74 inference(monotonicity,[status(thm)],[33668])).
% 43.10/28.74 tff(33670,plain,
% 43.10/28.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB131, constB132)) | (~v180(constB132)) | v179(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB131, constB132)) | v179(constB132) | (~v180(constB132)))),
% 43.10/28.74 inference(transitivity,[status(thm)],[33669, 33667])).
% 43.10/28.74 tff(33671,plain,
% 43.10/28.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB131, constB132)) | (~v180(constB132)) | v179(constB132))),
% 43.10/28.74 inference(quant_inst,[status(thm)],[])).
% 43.10/28.74 tff(33672,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB131, constB132)) | v179(constB132) | (~v180(constB132))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33671, 33670])).
% 43.10/28.75 tff(33673,plain,
% 43.10/28.75 (v179(constB132) | (~v180(constB132))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33672, 14702, 17348])).
% 43.10/28.75 tff(33674,plain,
% 43.10/28.75 (v179(constB132)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33673, 33666])).
% 43.10/28.75 tff(33675,plain,
% 43.10/28.75 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB132) | (~v159(constB132)) | (~v179(constB132)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB132) | (~v159(constB132)) | (~v179(constB132)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33676,plain,
% 43.10/28.75 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB132) | (~v159(constB132)) | (~v179(constB132)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33677,plain,
% 43.10/28.75 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB132) | (~v159(constB132)) | (~v179(constB132))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33676, 33675])).
% 43.10/28.75 tff(33678,plain,
% 43.10/28.75 (v186(constB132) | (~v159(constB132))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33677, 14720, 33674])).
% 43.10/28.75 tff(33679,plain,
% 43.10/28.75 (~v159(constB132)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33678, 33650])).
% 43.10/28.75 tff(33680,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v180(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v180(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33681,plain,
% 43.10/28.75 (((~nextState(constB132, constB133)) | v1(constB133) | (~v180(constB133))) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v180(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33682,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB132, constB133)) | v1(constB133) | (~v180(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v180(constB133))))),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33681])).
% 43.10/28.75 tff(33683,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB132, constB133)) | v1(constB133) | (~v180(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v180(constB133)))),
% 43.10/28.75 inference(transitivity,[status(thm)],[33682, 33680])).
% 43.10/28.75 tff(33684,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB132, constB133)) | v1(constB133) | (~v180(constB133)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33685,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v180(constB133))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33684, 33683])).
% 43.10/28.75 tff(33686,plain,
% 43.10/28.75 (~v180(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33685, 14741, 17475, 17472])).
% 43.10/28.75 tff(33687,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB132, constB133)) | v180(constB133) | (~v179(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB132, constB133)) | v180(constB133) | (~v179(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33688,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB132, constB133)) | v180(constB133) | (~v179(constB133)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33689,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB132, constB133)) | v180(constB133) | (~v179(constB133))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33688, 33687])).
% 43.10/28.75 tff(33690,plain,
% 43.10/28.75 (v180(constB133) | (~v179(constB133))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33689, 14758, 17475])).
% 43.10/28.75 tff(33691,plain,
% 43.10/28.75 (~v179(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33690, 33686])).
% 43.10/28.75 tff(33692,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB132) | (~nextState(constB132, constB133)) | v179(constB133) | (~v159(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB132) | (~nextState(constB132, constB133)) | v179(constB133) | (~v159(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33693,plain,
% 43.10/28.75 (((~nextState(constB132, constB133)) | v179(constB133) | v159(constB132) | (~v159(constB133))) <=> (v159(constB132) | (~nextState(constB132, constB133)) | v179(constB133) | (~v159(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33694,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB132, constB133)) | v179(constB133) | v159(constB132) | (~v159(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB132) | (~nextState(constB132, constB133)) | v179(constB133) | (~v159(constB133))))),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33693])).
% 43.10/28.75 tff(33695,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB132, constB133)) | v179(constB133) | v159(constB132) | (~v159(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB132) | (~nextState(constB132, constB133)) | v179(constB133) | (~v159(constB133)))),
% 43.10/28.75 inference(transitivity,[status(thm)],[33694, 33692])).
% 43.10/28.75 tff(33696,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB132, constB133)) | v179(constB133) | v159(constB132) | (~v159(constB133)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33697,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB132) | (~nextState(constB132, constB133)) | v179(constB133) | (~v159(constB133))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33696, 33695])).
% 43.10/28.75 tff(33698,plain,
% 43.10/28.75 (v159(constB132) | v179(constB133) | (~v159(constB133))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33697, 14773, 17475])).
% 43.10/28.75 tff(33699,plain,
% 43.10/28.75 (v159(constB132) | (~v159(constB133))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33698, 33691])).
% 43.10/28.75 tff(33700,plain,
% 43.10/28.75 (~v159(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33699, 33679])).
% 43.10/28.75 tff(33701,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB133) | (~v201(constB133)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB133) | (~v201(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33702,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB133) | (~v201(constB133)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33703,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB133) | (~v201(constB133))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33702, 33701])).
% 43.10/28.75 tff(33704,plain,
% 43.10/28.75 (~v201(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33703, 14792, 33700])).
% 43.10/28.75 tff(33705,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB133) | (~v200(constB133)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB133) | (~v200(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33706,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB133) | (~v200(constB133)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33707,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB133) | (~v200(constB133))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33706, 33705])).
% 43.10/28.75 tff(33708,plain,
% 43.10/28.75 (~v200(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33707, 14806, 33704])).
% 43.10/28.75 tff(33709,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB133) | (~v198(constB133)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB133) | (~v198(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33710,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB133) | (~v198(constB133)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33711,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB133) | (~v198(constB133))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33710, 33709])).
% 43.10/28.75 tff(33712,plain,
% 43.10/28.75 (~v198(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33711, 14820, 33708])).
% 43.10/28.75 tff(33713,assumption,(v18(constB134)), introduced(assumption)).
% 43.10/28.75 tff(33714,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB134))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33715,plain,
% 43.10/28.75 ($false),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33714, 138, 33713])).
% 43.10/28.75 tff(33716,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.75 tff(33717,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33718,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33719,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33718, 33717])).
% 43.10/28.75 tff(33720,plain,
% 43.10/28.75 (v22(constB134)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33719, 154, 17595])).
% 43.10/28.75 tff(33721,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33722,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33723,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33722, 33721])).
% 43.10/28.75 tff(33724,plain,
% 43.10/28.75 (v18(constB134) | (~v19(constB134))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33723, 168, 33720])).
% 43.10/28.75 tff(33725,plain,
% 43.10/28.75 (~v19(constB134)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33724, 33716])).
% 43.10/28.75 tff(33726,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33727,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33728,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33727, 33726])).
% 43.10/28.75 tff(33729,plain,
% 43.10/28.75 (v13(constB134)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33728, 180, 33725])).
% 43.10/28.75 tff(33730,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33731,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33732,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33731, 33730])).
% 43.10/28.75 tff(33733,plain,
% 43.10/28.75 (v9(constB133) | (~v13(constB134))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33732, 197, 17572])).
% 43.10/28.75 tff(33734,plain,
% 43.10/28.75 (v9(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33733, 33729])).
% 43.10/28.75 tff(33735,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v197(constB133))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB133) | (~v9(constB133)) | v197(constB133))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33736,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v197(constB133))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33737,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB133) | (~v9(constB133)) | v197(constB133)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33736, 33735])).
% 43.10/28.75 tff(33738,plain,
% 43.10/28.75 ((~v9(constB133)) | v197(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33737, 15020, 17472])).
% 43.10/28.75 tff(33739,plain,
% 43.10/28.75 (v197(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33738, 33734])).
% 43.10/28.75 tff(33740,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB133)) | v196(constB133))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB133)) | v196(constB133))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33741,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB133)) | v196(constB133))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33742,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB133)) | v196(constB133)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33741, 33740])).
% 43.10/28.75 tff(33743,plain,
% 43.10/28.75 (v196(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33742, 15032, 33739])).
% 43.10/28.75 tff(33744,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB133)) | (~v196(constB133)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB133)) | (~v196(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33745,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB133)) | (~v196(constB133)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33746,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB133)) | (~v196(constB133))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33745, 33744])).
% 43.10/28.75 tff(33747,plain,
% 43.10/28.75 (~v194(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33746, 15046, 33743])).
% 43.10/28.75 tff(33748,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB133) | v198(constB133) | (~v191(constB133)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB133) | v198(constB133) | (~v191(constB133)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33749,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB133) | v198(constB133) | (~v191(constB133)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33750,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB133) | v198(constB133) | (~v191(constB133))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33749, 33748])).
% 43.10/28.75 tff(33751,plain,
% 43.10/28.75 (v198(constB133) | (~v191(constB133))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33750, 15060, 33747])).
% 43.10/28.75 tff(33752,plain,
% 43.10/28.75 (~v191(constB133)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33751, 33712])).
% 43.10/28.75 tff(33753,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33754,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33755,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33754, 33753])).
% 43.10/28.75 tff(33756,plain,
% 43.10/28.75 (v191(constB133) | (~v193(constB134))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33755, 15075, 17572])).
% 43.10/28.75 tff(33757,plain,
% 43.10/28.75 (~v193(constB134)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33756, 33752])).
% 43.10/28.75 tff(33758,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB134) | (~v194(constB134)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB134) | (~v194(constB134)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33759,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB134) | (~v194(constB134)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33760,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB134) | (~v194(constB134))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33759, 33758])).
% 43.10/28.75 tff(33761,plain,
% 43.10/28.75 (~v194(constB134)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33760, 15090, 33757])).
% 43.10/28.75 tff(33762,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB134)) | (~v197(constB134)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB134)) | (~v197(constB134)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33763,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB134)) | (~v197(constB134)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33764,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB134)) | (~v197(constB134))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33763, 33762])).
% 43.10/28.75 tff(33765,plain,
% 43.10/28.75 (~v197(constB134)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33764, 59, 17595])).
% 43.10/28.75 tff(33766,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB134) | (~v200(constB134)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB134) | (~v200(constB134)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33767,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB134) | (~v200(constB134)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33768,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB134) | (~v200(constB134))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33767, 33766])).
% 43.10/28.75 tff(33769,plain,
% 43.10/28.75 (~v200(constB134)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33768, 15108, 33765])).
% 43.10/28.75 tff(33770,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB134) | (~v198(constB134)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB134) | (~v198(constB134)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33771,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB134) | (~v198(constB134)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33772,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB134) | (~v198(constB134))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33771, 33770])).
% 43.10/28.75 tff(33773,plain,
% 43.10/28.75 (~v198(constB134)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33772, 14820, 33769])).
% 43.10/28.75 tff(33774,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB134) | v198(constB134) | (~v191(constB134)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB134) | v198(constB134) | (~v191(constB134)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33775,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB134) | v198(constB134) | (~v191(constB134)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33776,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB134) | v198(constB134) | (~v191(constB134))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33775, 33774])).
% 43.10/28.75 tff(33777,plain,
% 43.10/28.75 (v194(constB134) | (~v191(constB134))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33776, 15060, 33773])).
% 43.10/28.75 tff(33778,plain,
% 43.10/28.75 (~v191(constB134)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33777, 33761])).
% 43.10/28.75 tff(33779,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33780,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33781,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33780, 33779])).
% 43.10/28.75 tff(33782,plain,
% 43.10/28.75 (v191(constB134) | (~v193(constB135))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33781, 15075, 17640])).
% 43.10/28.75 tff(33783,plain,
% 43.10/28.75 (~v193(constB135)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33782, 33778])).
% 43.10/28.75 tff(33784,assumption,(constB135 = sK0_VarCurr), introduced(assumption)).
% 43.10/28.75 tff(33785,plain,
% 43.10/28.75 (v193(constB135) <=> v193(sK0_VarCurr)),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33784])).
% 43.10/28.75 tff(33786,plain,
% 43.10/28.75 (v193(sK0_VarCurr) <=> v193(constB135)),
% 43.10/28.75 inference(symmetry,[status(thm)],[33785])).
% 43.10/28.75 tff(33787,plain,
% 43.10/28.75 (v193(constB135)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[86, 33786])).
% 43.10/28.75 tff(33788,assumption,(~v193(constB135)), introduced(assumption)).
% 43.10/28.75 tff(33789,plain,
% 43.10/28.75 ($false),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33788, 33787])).
% 43.10/28.75 tff(33790,plain,((~(constB135 = sK0_VarCurr)) | v193(constB135)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.75 tff(33791,plain,
% 43.10/28.75 (~(constB135 = sK0_VarCurr)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33790, 33783])).
% 43.10/28.75 tff(33792,assumption,(constB123 = sK0_VarCurr), introduced(assumption)).
% 43.10/28.75 tff(33793,plain,
% 43.10/28.75 (v193(constB123) <=> v193(sK0_VarCurr)),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33792])).
% 43.10/28.75 tff(33794,plain,
% 43.10/28.75 (v193(sK0_VarCurr) <=> v193(constB123)),
% 43.10/28.75 inference(symmetry,[status(thm)],[33793])).
% 43.10/28.75 tff(33795,plain,
% 43.10/28.75 (v193(constB123)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[86, 33794])).
% 43.10/28.75 tff(33796,assumption,(~v193(constB123)), introduced(assumption)).
% 43.10/28.75 tff(33797,plain,
% 43.10/28.75 ($false),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33796, 33795])).
% 43.10/28.75 tff(33798,plain,((~(constB123 = sK0_VarCurr)) | v193(constB123)), inference(lemma,lemma(discharge,[]))).
% 43.10/28.75 tff(33799,plain,
% 43.10/28.75 (~(constB123 = sK0_VarCurr)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33798, 15175])).
% 43.10/28.75 tff(33800,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB125, bitIndex0)) | v90(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB125, bitIndex0)) | v90(constB125, bitIndex0))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33801,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB125, bitIndex0)) | v90(constB125, bitIndex0))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33802,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB125, bitIndex0)) | v90(constB125, bitIndex0)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33801, 33800])).
% 43.10/28.75 tff(33803,plain,
% 43.10/28.75 (~v88(constB125, bitIndex0)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33802, 14501, 16628])).
% 43.10/28.75 tff(33804,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33805,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33806,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33805, 33804])).
% 43.10/28.75 tff(33807,plain,
% 43.10/28.75 (v88(constB125, bitIndex2)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33806, 28145, 16395])).
% 43.10/28.75 tff(33808,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33809,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33810,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33809, 33808])).
% 43.10/28.75 tff(33811,plain,
% 43.10/28.75 (v88(constB125, bitIndex1)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33810, 14543, 16434])).
% 43.10/28.75 tff(33812,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33813,plain,
% 43.10/28.75 (((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125)) <=> (v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33814,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1))))),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33813])).
% 43.10/28.75 tff(33815,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)))),
% 43.10/28.75 inference(transitivity,[status(thm)],[33814, 33812])).
% 43.10/28.75 tff(33816,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33817,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v144(constB125) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33816, 33815])).
% 43.10/28.75 tff(33818,plain,
% 43.10/28.75 (v144(constB125)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33817, 28163, 33811, 33807, 33803])).
% 43.10/28.75 tff(33819,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB125) | (~v144(constB125)))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB125) | (~v144(constB125)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33820,plain,
% 43.10/28.75 (((~v144(constB125)) | v142(constB125)) <=> (v142(constB125) | (~v144(constB125)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33821,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB125)) | v142(constB125))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB125) | (~v144(constB125))))),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33820])).
% 43.10/28.75 tff(33822,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB125)) | v142(constB125))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB125) | (~v144(constB125)))),
% 43.10/28.75 inference(transitivity,[status(thm)],[33821, 33819])).
% 43.10/28.75 tff(33823,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB125)) | v142(constB125))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33824,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB125) | (~v144(constB125))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33823, 33822])).
% 43.10/28.75 tff(33825,plain,
% 43.10/28.75 (v142(constB125)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33824, 28177, 33818])).
% 43.10/28.75 tff(33826,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB125) | (~v142(constB125)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33827,plain,
% 43.10/28.75 (((~v142(constB125)) | v167(constB125)) <=> (v167(constB125) | (~v142(constB125)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33828,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB125)) | v167(constB125))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB125) | (~v142(constB125))))),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33827])).
% 43.10/28.75 tff(33829,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB125)) | v167(constB125))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB125) | (~v142(constB125)))),
% 43.10/28.75 inference(transitivity,[status(thm)],[33828, 33826])).
% 43.10/28.75 tff(33830,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB125)) | v167(constB125))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33831,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB125) | (~v142(constB125))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33830, 33829])).
% 43.10/28.75 tff(33832,plain,
% 43.10/28.75 (v167(constB125)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33831, 14582, 33825])).
% 43.10/28.75 tff(33833,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB125)) | (~v170(constB125)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB125)) | (~v170(constB125)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33834,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB125)) | (~v170(constB125)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33835,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB125)) | (~v170(constB125))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33834, 33833])).
% 43.10/28.75 tff(33836,plain,
% 43.10/28.75 (~v170(constB125)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33835, 14593, 33832])).
% 43.10/28.75 tff(33837,plain,
% 43.10/28.75 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB125) | (~v167(constB125)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB125) | (~v167(constB125)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33838,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB125) | (~v167(constB125)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33839,plain,
% 43.10/28.75 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB125) | (~v167(constB125))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33838, 33837])).
% 43.10/28.75 tff(33840,plain,
% 43.10/28.75 (v166(constB125)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33839, 14607, 33832])).
% 43.10/28.75 tff(33841,plain,
% 43.10/28.75 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB125)) | (~v166(constB125)) | v170(constB125))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB125)) | (~v166(constB125)) | v170(constB125))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33842,plain,
% 43.10/28.75 (((~v166(constB125)) | v170(constB125) | (~v163(constB125))) <=> ((~v163(constB125)) | (~v166(constB125)) | v170(constB125))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33843,plain,
% 43.10/28.75 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB125)) | v170(constB125) | (~v163(constB125)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB125)) | (~v166(constB125)) | v170(constB125)))),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33842])).
% 43.10/28.75 tff(33844,plain,
% 43.10/28.75 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB125)) | v170(constB125) | (~v163(constB125)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB125)) | (~v166(constB125)) | v170(constB125))),
% 43.10/28.75 inference(transitivity,[status(thm)],[33843, 33841])).
% 43.10/28.75 tff(33845,plain,
% 43.10/28.75 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB125)) | v170(constB125) | (~v163(constB125)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33846,plain,
% 43.10/28.75 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB125)) | (~v166(constB125)) | v170(constB125)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33845, 33844])).
% 43.10/28.75 tff(33847,plain,
% 43.10/28.75 (~v163(constB125)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33846, 14621, 33840, 33836])).
% 43.10/28.75 tff(33848,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33849,plain,
% 43.10/28.75 (((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126))) <=> (v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33850,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126))))),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33849])).
% 43.10/28.75 tff(33851,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126)))),
% 43.10/28.75 inference(transitivity,[status(thm)],[33850, 33848])).
% 43.10/28.75 tff(33852,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB125, constB126)) | v163(constB125) | (~v186(constB126)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33853,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB125) | (~nextState(constB125, constB126)) | (~v186(constB126))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33852, 33851])).
% 43.10/28.75 tff(33854,plain,
% 43.10/28.75 (v163(constB125) | (~v186(constB126))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33853, 14641, 16469])).
% 43.10/28.75 tff(33855,plain,
% 43.10/28.75 (~v186(constB126)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33854, 33847])).
% 43.10/28.75 tff(33856,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33857,plain,
% 43.10/28.75 (((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126)) <=> ((~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33858,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v181(constB126) | v104(constB126)))),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33857])).
% 43.10/28.75 tff(33859,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB125, constB126)) | v181(constB126) | v104(constB126))),
% 43.10/28.75 inference(transitivity,[status(thm)],[33858, 33856])).
% 43.10/28.75 tff(33860,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v181(constB126))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33861,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB125, constB126)) | v181(constB126) | v104(constB126)),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33860, 33859])).
% 43.10/28.75 tff(33862,plain,
% 43.10/28.75 (v181(constB126) | v104(constB126)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33861, 14663, 16469])).
% 43.10/28.75 tff(33863,plain,
% 43.10/28.75 (v181(constB126)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33862, 16577])).
% 43.10/28.75 tff(33864,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33865,plain,
% 43.10/28.75 (((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126))) <=> ((~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))),
% 43.10/28.75 inference(rewrite,[status(thm)],[])).
% 43.10/28.75 tff(33866,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126))))),
% 43.10/28.75 inference(monotonicity,[status(thm)],[33865])).
% 43.10/28.75 tff(33867,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126)))),
% 43.10/28.75 inference(transitivity,[status(thm)],[33866, 33864])).
% 43.10/28.75 tff(33868,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v180(constB126) | (~v181(constB126)))),
% 43.10/28.75 inference(quant_inst,[status(thm)],[])).
% 43.10/28.75 tff(33869,plain,
% 43.10/28.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB125, constB126)) | v180(constB126) | (~v1(constB126)) | (~v181(constB126))),
% 43.10/28.75 inference(modus_ponens,[status(thm)],[33868, 33867])).
% 43.10/28.75 tff(33870,plain,
% 43.10/28.75 (v180(constB126) | (~v181(constB126))),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33869, 14684, 16469, 16588])).
% 43.10/28.75 tff(33871,plain,
% 43.10/28.75 (v180(constB126)),
% 43.10/28.75 inference(unit_resolution,[status(thm)],[33870, 33863])).
% 43.10/28.75 tff(33872,plain,
% 43.10/28.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))),
% 43.10/28.76 inference(rewrite,[status(thm)],[])).
% 43.10/28.76 tff(33873,plain,
% 43.10/28.76 (((~nextState(constB125, constB126)) | (~v180(constB126)) | v179(constB126)) <=> ((~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))),
% 43.10/28.76 inference(rewrite,[status(thm)],[])).
% 43.10/28.76 tff(33874,plain,
% 43.10/28.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB125, constB126)) | (~v180(constB126)) | v179(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126))))),
% 43.10/28.76 inference(monotonicity,[status(thm)],[33873])).
% 43.10/28.76 tff(33875,plain,
% 43.10/28.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB125, constB126)) | (~v180(constB126)) | v179(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126)))),
% 43.10/28.76 inference(transitivity,[status(thm)],[33874, 33872])).
% 43.10/28.76 tff(33876,plain,
% 43.10/28.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB125, constB126)) | (~v180(constB126)) | v179(constB126))),
% 43.10/28.76 inference(quant_inst,[status(thm)],[])).
% 43.10/28.76 tff(33877,plain,
% 43.10/28.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB125, constB126)) | v179(constB126) | (~v180(constB126))),
% 43.10/28.76 inference(modus_ponens,[status(thm)],[33876, 33875])).
% 43.10/28.76 tff(33878,plain,
% 43.10/28.76 (v179(constB126) | (~v180(constB126))),
% 43.10/28.76 inference(unit_resolution,[status(thm)],[33877, 14702, 16469])).
% 43.10/28.76 tff(33879,plain,
% 43.10/28.76 (v179(constB126)),
% 43.10/28.76 inference(unit_resolution,[status(thm)],[33878, 33871])).
% 43.10/28.76 tff(33880,plain,
% 43.10/28.76 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB126) | (~v159(constB126)) | (~v179(constB126)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB126) | (~v159(constB126)) | (~v179(constB126)))),
% 43.10/28.76 inference(rewrite,[status(thm)],[])).
% 43.10/28.76 tff(33881,plain,
% 43.10/28.76 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB126) | (~v159(constB126)) | (~v179(constB126)))),
% 43.10/28.76 inference(quant_inst,[status(thm)],[])).
% 43.10/28.76 tff(33882,plain,
% 43.10/28.76 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB126) | (~v159(constB126)) | (~v179(constB126))),
% 43.10/28.76 inference(modus_ponens,[status(thm)],[33881, 33880])).
% 43.10/28.76 tff(33883,plain,
% 43.10/28.76 (v186(constB126) | (~v159(constB126))),
% 43.10/28.76 inference(unit_resolution,[status(thm)],[33882, 14720, 33879])).
% 43.10/28.76 tff(33884,plain,
% 43.10/28.76 (~v159(constB126)),
% 43.10/28.76 inference(unit_resolution,[status(thm)],[33883, 33855])).
% 43.10/28.76 tff(33885,plain,
% 43.10/28.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v180(constB127)))) <